%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.40", %%% date = "23 October 2017", %%% time = "15:30:50 MDT", %%% filename = "borwein-jonathan-m.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "14548 39453 166757 1699682", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "arithmetic--geometric mean (AGM); Atlantic %%% Association for Research in the Mathematical %%% Sciences (AARMS); BBP %%% (Bailey--Borwein--Plouffe) algorithm; %%% bibliography; BibTeX; Borwein--Preiss smooth %%% variational principle in optimization theory; %%% Centre for Computer-assisted Research %%% Mathematics and its Applications (CARMA); %%% classical analysis; cubic theta function; %%% Douglas--Rachford algorithm; experimental %%% mathematics; financial mathematics; functional %%% analysis; high performance computing (HPC); %%% International Mathematical Union (IMU) %%% Executive's Committee on Electronic %%% Information and Communication (CEIC); Jonathan %%% Michael Borwein; mathematics by experiment; %%% number theory; Online Encyclopedia of Integer %%% Sequences (OEIS); operations research; %%% optimization theory and practice; $\pi$; PSLQ %%% algorithm; theory of computation", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a COMPLETE bibliography of works by, %%% and about, the late distinguished %%% Canadian/British mathematician Jonathan %%% Michael Borwein (20 May 1951--2 August 2016). %%% %%% This bibliography is divided into four parts: %%% %%% 1: Academic works by Jonathan M. Borwein %%% 2: Blog publications by Jonathan M. Borwein %%% 3: Invited talks by Jonathan M. Borwein %%% 4: Publications about Jonathan M. Borwein and his works %%% %%% Jon Borwein was born in Scotland to a %%% mathematical family: his father David and his %%% younger brother Peter are themselves %%% distinguished mathematicians. His mother is %%% a physician and retired medical-school dean. %%% %%% Jon grew up in Canada, taking a B.A. (Honours %%% Mathematics) at the University of Western %%% Ontario (later branded Western University), %%% London, ON in 1972 (and the city in which he %%% died in 2016 while holding the post of %%% Distinguished Scholar in Residence), and an %%% M.Sc. in 1974 and a D.Phil. in 1974 from %%% Oxford University, where he was a Rhodes %%% Scholar at Jesus College. %%% %%% Jon Borwein later worked at Dalhousie %%% University, Halifax, NS, Canada (1974--1980, %%% 1982--1991, 2004--), Carnegie--Mellon %%% University, Pittsburgh, PA, USA (1980--1982), %%% the University of Waterloo, Waterloo, ON, %%% Canada (1991--1993), Simon Fraser University, %%% Burnaby, BC, Canada (1993--2003), the %%% University of Newcastle, Newcastle, NSW, %%% Australia (2009--2016), King Abdulaziz %%% University, Jeddah, Saudi Arabia %%% (2011--2013), and Chiang Mia University, %%% Thailand (2013--2016). %%% %%% Jon Borwein was President of the Canadian %%% Mathematical Society (2000--2002), Governer %%% at Large of the American Mathematical Society %%% (2004--2007), co-winner of the Chauvenet %%% Prize of the Mathematical Association of %%% America (1993) --- see entry Borwein:1989:RME %%% and the Web site %%% %%% http://www.maa.org/programs/maa-awards/writing-awards/chauvenet-prizes %%% %%% co-winner of the AMS 2017 Levi L. Conant %%% Prize --- see entries Bailey:2016:BBM and %%% Breen:2016:DBJ and the Web site %%% %%% http://www.ams.org/news?news_id=3232 %%% %%% and a fellow of the Royal Society of Canada %%% (1994), the American Association for the %%% Advancement of Science (2002), the Bulgarian %%% Academy of Sciences (2003), the Australian %%% Academy of Science (2010), the American %%% Mathematical Society (2014), and the Royal %%% Society of New South Wales (2015). %%% %%% Jon Borwein travelled, spoke, and wrote, %%% widely, and collaborated with many other %%% mathematicians, including his father David %%% and brother Peter, and David H. Bailey, with %%% whom he co-authored more than 80 papers and %%% five books, and co-wrote a blog on %%% mathematical and scientific issues before the %%% public, many of them reprinted in the %%% Huffington Post and in The Conversation. %%% %%% There is an encyclopedia article about him at %%% %%% https://en.wikipedia.org/wiki/Jonathan_Borwein %%% %%% plus personal Web sites at %%% %%% http://carma.newcastle.edu.au/jon/ %%% http://carma.newcastle.edu.au/jon/CV/CV.html %%% http://jonathanmborwein.com/ %%% http://jonborwein.com/ %%% %%% a mathematical genealogy at %%% %%% https://genealogy.math.ndsu.nodak.edu/id.php?id=23187 %%% %%% and obituaries at %%% %%% http://blogs.ams.org/beyondreviews/2016/08/03/jonathan-borwein/ %%% http://jonborwein.org/2016/08/he-left-this-world-a-better-place/ %%% https://cms.math.ca/MediaReleases/2016/borweinobituary %%% https://www.science.org.au/fellowship/fellows/professor-jonathan-borwein %%% %%% The increasingly-famous BBP formula (entry %%% Bailey:1997:RCV) is named after its authors: %%% David Bailey, Jon's brother Peter Borwein, %%% and Simon Plouffe. That astonishing formula %%% allows computation of digits of pi in any %%% number base that is an integral power of two, %%% the power being greater than zero, starting %%% from any prescribed digit, without knowing %%% any previous digits! BBP-like formulas have %%% since been found for several other %%% transcendental contants. David Bailey and %%% Jon Borwein have written and spoken %%% extensively about the importance of, and use %%% of, the BBP formula. %%% %%% Jon Borwein updated his curriculum vitae just %%% five hours before he died, so we have some %%% confidence that coverage of his works in this %%% bibliography is complete as far as he %%% recorded them. However, additional %%% publications are to be expected, and are %%% included here, such as from reprints, %%% articles in accepted and in press, or %%% submitted, and ones that he simply forgot, or %%% chose not, to record. %%% %%% At version 1.40, the COMPLETE year coverage %%% looked like this: %%% %%% 1972 ( 1) 1988 ( 31) 2004 ( 51) %%% 1973 ( 0) 1989 ( 25) 2005 ( 80) %%% 1974 ( 1) 1990 ( 52) 2006 ( 60) %%% 1975 ( 0) 1991 ( 36) 2007 ( 57) %%% 1976 ( 4) 1992 ( 27) 2008 ( 46) %%% 1977 ( 5) 1993 ( 40) 2009 ( 56) %%% 1978 ( 4) 1994 ( 37) 2010 ( 61) %%% 1979 ( 10) 1995 ( 47) 2011 ( 78) %%% 1980 ( 7) 1996 ( 31) 2012 ( 100) %%% 1981 ( 9) 1997 ( 63) 2013 ( 100) %%% 1982 ( 8) 1998 ( 33) 2014 ( 84) %%% 1983 ( 11) 1999 ( 50) 2015 ( 78) %%% 1984 ( 19) 2000 ( 48) 2016 ( 101) %%% 1985 ( 9) 2001 ( 41) 2017 ( 17) %%% 1986 ( 23) 2002 ( 37) %%% 1987 ( 27) 2003 ( 52) %%% 19xx ( 7) %%% %%% Article: 762 %%% Book: 53 %%% InCollection: 87 %%% InProceedings: 43 %%% MastersThesis: 1 %%% Misc: 12 %%% PhdThesis: 2 %%% Proceedings: 13 %%% TechReport: 51 %%% Unpublished: 743 %%% %%% Total entries: 1767 %%% %%% As an indication of the breadth of Jon %%% Borwein's interests, his published articles %%% appear in at least 135 journals, with these %%% being the most commonly chosen (as recorded %%% at version 1.07): %%% %%% ======================================== %%% count | journal %%% ======================================== %%% 47 | The Conversation %%% 46 | j-AMER-MATH-MONTHLY %%% 37 | Huffington Post %%% 36 | ArXiv e-prints %%% 21 | j-PROC-AM-MATH-SOC %%% 18 | j-J-CONVEX-ANAL %%% 17 | j-J-MATH-ANAL-APPL %%% 16 | j-EXP-MATH %%% 14 | j-MATH-PROG %%% 13 | j-CAN-J-MATH %%% 13 | j-NONLINEAR-ANAL %%% 12 | j-CAN-MATH-BULL %%% 12 | j-TRANS-AM-MATH-SOC %%% 11 | j-J-OPT-THEORY-APPL %%% 11 | j-NAMS %%% 11 | j-RAMANUJAN-J %%% 10 | j-SIAM-J-OPT %%% 10 | j-SET-VALUED-ANAL %%% 8 | j-SIAM-REVIEW %%% 8 | ArXiv Mathematics e-prints %%% 8 | j-MATH-INTEL %%% 7 | j-SIAM-J-CONTROL-OPTIM %%% 7 | j-J-APPROX-THEORY %%% 7 | j-MATH-COMPUT %%% 6 | j-OPTIMIZATION %%% 6 | j-BULL-AUSTRAL-MATH-SOC %%% 6 | j-J-NONLINEAR-CONVEX-ANAL %%% 6 | j-AUSTRALIAN-MATH-SOC-GAZ %%% 5 | j-OPTIM-LETT %%% 4 | j-MATH-OP-RES %%% 4 | j-MAPLE-TECH-NEWS %%% 4 | j-J-FUNCT-ANAL %%% 4 | j-MATH-INEQUAL-APPL %%% 4 | j-SIAM-NEWS %%% 3 | j-PAC-J-MATH %%% 3 | j-J-COMPUT-APPL-MATH %%% 3 | ArXiv High Energy Physics --- Theory e-prints %%% 3 | j-ELECT-J-COMB %%% 3 | j-J-GLOBAL-OPT %%% 3 | j-SET-VALUED-VAR-ANAL %%% 3 | j-APPL-MATH-COMP %%% 3 | j-INTEGERS %%% 2 | j-J-LOND-MATH-SOC-2 %%% 2 | j-INT-J-MATH-MATH-SCI %%% 2 | j-MATH-PROG-STUDY %%% 2 | j-J-AUSTRAL-MATH-SOC-SER-A %%% 2 | j-BIT %%% 2 | j-PROC-EDINBURGH-MATH-SOC-2 %%% 2 | j-J-MATH-PHYS %%% 2 | j-J-AUSTRAL-MATH-SOC-SER-B %%% 2 | j-ISRAEL-J-MATH %%% 2 | j-IMA-J-NUMER-ANAL %%% 2 | j-J-PHYS-A %%% 2 | j-Z-OPER-RES %%% 2 | j-SCIENCE %%% 2 | j-AEQUATIONES-MATHEMATICAE %%% 2 | j-NUM-MATH %%% 2 | j-IEEE-TRANS-NUCL-SCI %%% 2 | j-SIGSAM %%% 2 | j-INT-J-NUMBER-THEORY %%% 2 | j-J-PHYS-A-MATH-THEOR %%% 2 | Rhodes Scholar Blog %%% 2 | j-J-AUSTRAL-MATH-SOC %%% 2 | j-ANZIAM-J %%% 2 | j-J-SYMBOLIC-COMP %%% 1 | in each of 70 other journals %%% ======================================== %%% %%% Besides at least 504 articles, 90 blogs, and %%% 708 invited talks on five continents, Jon %%% Borwein also authored or edited, or was the %%% subject of, 34 books (including new editions %%% and translations): %%% %%% ================================================================================================= %%% 1987 | Pi and the AGM: a Study in Analytic Number Theory and Computational Complexity %%% 1990 | A dictionary of real numbers %%% 1991 | The HarperCollins dictionary of mathematics %%% 1995 | Dizionario Collins della matematica %%% 1995 | Shu xue ci dian %%% 1997 | Pi, a source book %%% 1997 | The MathResource interactive math dictionary %%% 1998 | Pi and the AGM: A study in analytic number theory and computational complexity %%% 1999 | Dictionary of mathematics %%% 2000 | Convex Analysis and Nonlinear Optimization %%% 2000 | Pi: a source book %%% 2002 | Mathematics: Collins dictionary %%% 2002 | Multimedia tools for communicating mathematics %%% 2003 | Experimentation in mathematics: computational paths to discovery %%% 2004 | Mathematics by Experiment: Plausible Reasoning in the 21st Century %%% 2004 | Pi: a source book %%% 2005 | Techniques of Variational Analysis %%% 2006 | Convex analysis and nonlinear optimization %%% 2006 | Experiments in Mathematics %%% 2007 | Experimental Mathematics in Action %%% 2008 | Communicating Mathematics in the Digital Era %%% 2008 | Mathematics by Experiment %%% 2009 | The computer as crucible: an introduction to experimental mathematics %%% 2010 | Convex functions: constructions, characterizations and counterexamples %%% 2010 | Experimental and computational mathematics: selected writings %%% 2011 | An introduction to modern mathematical computing: with Maple %%% 2011 | Experimentelle Mathematik: Eine beispielorientierte Einfuhrung %%% 2012 | An introduction to modern mathematical computing: with Mathematicareg %%% 2012 | Exploratory experimentation in mathematics: selected works %%% 2013 | Computational and analytical mathematics: in honor of Jonathan Borwein's 60th Birthday %%% 2013 | Lattice Sums: Then and Now %%% 2014 | Neverending fractions: an introduction to continued fractions %%% 2016 | Pi: the next generation: a sourcebook on the recent history of Pi and its computation %%% 2016 | Tools and Mathematics %%% ================================================================================================= %%% %%% The tables given above have been produced %%% automatically, and reliably, from the output %%% of queries to an SQL database containing the %%% entries in this bibliography. %%% %%% A count of recorded page ranges of the form %%% mmm--nnn in parts 1--3 of this file finds %%% 7939 pages in 514 documents, an average of %%% 15.45 pages each. That is an impressive %%% production in the mathematical literature! %%% %%% Entries for this bibliography have been %%% derived from data in the BibNet Project and %%% TeX User Group bibliography archives, and %%% from the ACM Portal, American Physical %%% Society (APS), American Institute of Physics %%% (AIP), arxiv.org, Australian Mathematical %%% Society, Cambridge Journals, Canadian %%% Mathematical Society (CMS), Canadian %%% Association of Physicists, Elsevier %%% ScienceDirect, EuroPhysics, IEEE Xplore, %%% Institute of Physics (IOP), JSTOR, MathSciNet, %%% Nature, PubMed, Royal Society, Science, %%% Smithsonian Astrophysical Observatory, %%% SpringerLink, Web of Science, Wiley, and %%% zbMATH databases. Once those resources were %%% exhausted, the BibTeX entries produced from %%% them were matched entry by entry with Jon %%% Borwein's curriculum vitae in his file %%% CV.pdf, and all previously-missing ones were %%% converted to BibTeX form and added to this %%% file. %%% %%% Numerous errors and inconsistencies in those %%% sources have been corrected, and many %%% heuristic checks, and spelling corrections, %%% have been done. The companion file %%% borwein-jonathan-m.sok contains a private %%% spelling-exception dictionary for this file. %%% %%% Special thanks go to David H. Bailey of %%% the University of California, Davis, and %%% Karl Dilcher of Dalhousie University for %%% uncovering many previously unrecorded works %%% by Jonathan Borwein. %%% %%% TO DO: More work is still needed to locate %%% electronic addresses for some entries. Of %%% the 592 article entries containing Borwein in %%% the author field, 536 have either a DOI or a %%% URL value, and 164 have both DOI and URL %%% values, but 56 have neither. %%% %%% Of the 115 Borwein entries for InXxx blocks, %%% 61 have neither DOI nor URL values. %%% %%% Of the 37 Borwein entries for Book and %%% Proceedings blocks, 17 have neither DOI nor %%% URL values. %%% %%% Except for those publications in open-access %%% journals or technical reports, document %%% access via DOI or URL values may require an %%% institutional journal subscription, or online %%% payment. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\ifx \undefined \cdprime \def \cdprime {$''$} \fi" # "\ifx \undefined \cftilf \def \cftil #1{\ifmmode \setbox7 \hbox{$\accent5E#1$}\else \setbox7 \hbox{\accent5E#1}\penalty 10000 \relax \fi \raise 1\ht7 \hbox{\lower 1.15ex \hbox to 1\wd7{\hss \accent7E \hss}}\penalty 10000 \hskip-1\wd7 \penalty 10000 \box7} \fi" # "\ifx \undefined \circled \def \circled #1{(#1)}\fi" # "\ifx \undefined \cprime \def \cprime {$'$} \fi" # "\ifx \undefined \coloneq \def \coloneq {\colon=} \fi" # "\ifx \undefined \mathrm \def \mathrm #1{{\rm #1}} \fi" # "\ifx \undefined \refcno \def \refcno{Cno. } \fi" # "\ifx \undefined \reg \def \reg {\circled{R}}\fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} @String{ack-njh = "Nick Higham, e-mail: \path|nick.higham@manchester.ac.uk|"} %%% ==================================================================== %%% Institutional abbreviations: @String{inst-CARMA = "Centre for Computer-assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, University of Newcastle"} @String{inst-CARMA:adr = "Callaghan, NSW 2308, Australia"} @String{inst-CECM = "Centre for Experimental and Constructive Mathematics (CECM) at Simon Fraser University (SFU)"} @String{inst-CECM:adr = "Burnaby, BC, Canada"} %%% ==================================================================== %%% Journal abbreviations: @String{j-ABSTR-APPL-ANAL = "Abstract and Applied Analysis"} @String{j-ACM-COMM-COMP-ALGEBRA = "ACM Communications in Computer Algebra"} @String{j-ACTA-ARITHMETICA = "Acta Arithmetica"} @String{j-ACTA-SCI-NATUR-UNIV-SUNYATSENI = "Acta Scientiarum Naturalium Universitatis Sunyatseni. Zhongshan Daxue Xuebao. Ziran Kexue Ban"} @String{j-ADV-NONLINEAR-ANAL = "Advances in Nonlinear Analysis"} @String{j-AEQUATIONES-MATHEMATICAE = "Aequationes Mathematicae"} @String{j-AM-SCI = "American Scientist"} @String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"} @String{j-ANZIAM-J = "The ANZIAM Journal"} @String{j-APPL-ANAL = "Applicable Analysis"} @String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"} @String{j-APPL-MATH-LETT = "Applied Mathematics Letters"} @String{j-APPL-MATH-OPTIM = "Applied Mathematics and Optimization"} @String{j-AUSTRALIAN-MATH-SOC-GAZ = "Australian Mathematical Society Gazette"} @String{j-BIT = "BIT (Nordisk tidskrift for informationsbehandling)"} @String{j-BOUND-VALUE-PROBL = "Boundary Value Problems"} @String{j-BULL-AMS-N-S = "Bulletin of the American Mathematical Society (new series)"} @String{j-BULL-AUSTRAL-MATH-SOC = "Bulletin of the Australian Mathematical Society"} @String{j-BULL-CALCUTTA-MATH-SOC = "Bulletin of the Calcutta Mathematical Society"} @String{j-C-R-ACAD-BULGARE-SCI = "Comptes rendus de l'Acad{\'e}mie bulgare des sciences"} @String{j-C-R-ACAD-SCI-CANADA = "Comptes rendus de l'Acad{\'e}mie des sciences. Canada"} @String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques"} @String{j-CAN-MATH-BULL = "Canadian mathematical bulletin = Bulletin canadien de math{\'e}matiques"} @String{j-CMS-NOTES = "Canadian Mathematical Society Notes"} @String{j-COMMUN-CONTEMP-MATH = "Communications in Contemporary Mathematics"} @String{j-COMP-OPTIM-APPL = "Computational optimization and applications"} @String{j-COMP-PHYS-COMM = "Computer Physics Communications"} @String{j-COMPUT-SCI-ENG = "Computing in Science and Engineering"} @String{j-COMPUTING = "Computing: Archiv f{\"u}r informatik und numerik"} @String{j-CONST-APPROX = "Constructive Approximation"} @String{j-DISCRETE-MATH = "Discrete Mathematics"} @String{j-EDUC-STUD-MATH = "Educational Studies in Mathematics"} @String{j-ELECT-J-COMB = "Electronic Journal of Combinatorics"} @String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical Analysis"} @String{j-ENTROPY = "Entropy"} @String{j-EUR-MATH-SOC-NEWSL = "European Mathematical Society. Newsletter"} @String{j-EXP-MATH = "Experimental Mathematics"} @String{j-FIB-QUART = "Fibonacci Quarterly"} @String{j-HOUSTON-J-MATH = "Houston Journal of Mathematics"} @String{j-IEEE-CONTROL-SYST-MAG = "IEEE Control Systems Magazine"} @String{j-IEEE-TRANS-MED-IMAG = "IEEE Transactions on Medical Imaging"} @String{j-IEEE-TRANS-NUCL-SCI = "IEEE Transactions on Nuclear Science"} @String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"} @String{j-INDAG-MATH = "Indagationes Mathematic{\ae}"} @String{j-INFO-SCI = "Information Sciences"} @String{j-INT-J-COMPUT-MATH = "International Journal of Computer Mathematics"} @String{j-INT-J-MATH-MATH-SCI = "International Journal of Mathematics and Mathematical Sciences"} @String{j-INT-J-NUMBER-THEORY = "International Journal of Number Theory"} @String{j-INTEGERS = "Integers"} @String{j-INVERSE-PROBL-SCI-ENG = "Inverse Problems in Science and Engineering"} @String{j-ISRAEL-J-MATH = "Israel Journal of Mathematics"} @String{j-J-ALG = "Journal of Algorithms"} @String{j-J-APPL-MATH = "Journal of Applied Mathematics"} @String{j-J-APPROX-THEORY = "Journal of Approximation Theory"} @String{j-J-AUSTRAL-MATH-SOC = "Journal of the Australian Mathematical Society"} @String{j-J-AUSTRAL-MATH-SOC-SER-A = "Journal of the Australian Mathematical Society. Series A: Pure Mathematics and Statistics"} @String{j-J-AUSTRAL-MATH-SOC-SER-B = "Journal of the Australian Mathematical Society. Series B"} @String{j-J-COMB-THEORY-A = "Journal of Combinatorial Theory (Series A)"} @String{j-J-COMP-MATH = "Journal of Computational Mathematics"} @String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-FINANCE = "Journal of Computational Finance"} @String{j-J-CONVEX-ANAL = "Journal of Convex Analysis"} @String{j-J-FUNCT-ANAL = "Journal of Functional Analysis"} @String{j-J-GLOBAL-OPT = "Journal of Global Optimization"} @String{j-J-HUMANIST-MATH = "Journal of Humanistic Mathematics"} @String{j-J-INTEGER-SEQ = "Journal of Integer Sequences"} @String{j-J-INVESTMENT-MANAGE = "Journal of Investment Management"} @String{j-J-LOND-MATH-SOC-2 = "Journal of the London Mathematical Society (series 2)"} @String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and Applications"} @String{j-J-MATH-PHYS = "Journal of Mathematical Physics"} @String{j-J-NONLINEAR-CONVEX-ANAL = "Journal of Nonlinear and Convex Analysis"} @String{j-J-NUMBER-THEORY = "Journal of Number Theory"} @String{j-J-OPT-THEORY-APPL = "Journal of Optimization Theory and Applications"} @String{j-J-PHYS-A = "Journal of Physics A (Mathematical and General)"} @String{j-J-PHYS-A-MATH-THEOR = "Journal of Physics A: Mathematical and Theoretical"} @String{j-J-REINE-ANGEW-MATH = "{Journal f{\"u}r die reine und angewandte Mathematik}"} @String{j-J-SCI-COMPUT = "Journal of Scientific Computing"} @String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"} @String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"} @String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"} @String{j-MAPLE-TECH-NEWS = "Maple Technical Newsletter"} @String{j-MATH-COMPUT = "Mathematics of Computation"} @String{j-MATH-GAZ = "Mathematical Gazette"} @String{j-MATH-INEQUAL-APPL = "Mathematical Inequalities \& Applications"} @String{j-MATH-INTEL = "The Mathematical Intelligencer"} @String{j-MATH-MAG = "Mathematics Magazine"} @String{j-MATH-OP-RES = "Mathematics of Operations Research"} @String{j-MATH-PROG = "Mathematical Programming"} @String{j-MATH-PROG-STUDY = "Mathematical Programming Study"} @String{j-MATH-SCAND = "Mathematica Scandinavica"} @String{j-MATH-STUDENT = "The Mathematics Student"} @String{j-METHODS-APPL-ANAL = "Methods and Applications of Analysis"} @String{j-MICH-MATH-J = "Michigan Mathematical Journal"} @String{j-NAMS = "Notices of the American Mathematical Society"} @String{j-NEUROCOMPUTING = "Neurocomputing"} @String{j-NONLINEAR-ANAL = "Nonlinear Analysis, Theory, Methods and Applications"} @String{j-NUM-LIN-ALG-APPL = "Numerical Linear Algebra with Applications"} @String{j-NUM-MATH = "Numerische Mathematik"} @String{j-NUMER-ALGEBRA-CONTROL-OPTIM = "Numerical Algebra, Control and Optimization"} @String{j-NUMER-ALGORITHMS = "Numerical Algorithms"} @String{j-NUMER-FUNCT-ANAL-OPTIM = "Numerical Functional Analysis and Optimization"} @String{j-OPTIM-LETT = "Optimization Letters"} @String{j-OPTIM-METHODS-SOFTW = "Optimization Methods and Software"} @String{j-OPTIMIZATION = "Optimization"} @String{j-PAC-J-MATH = "Pacific Journal of Mathematics"} @String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical Society"} @String{j-PROC-EDINBURGH-MATH-SOC-2 = "Proceedings of the Edinburgh Mathematical Society (2)"} @String{j-PROC-LONDON-MATH-SOC-3 = "Proceedings of the London Mathematical Society. Third Series"} @String{j-RAMANUJAN-J = "The {Ramanujan} Journal"} @String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"} @String{j-SCI-AMER = "Scientific American"} @String{j-SCI-CHINA-MATH = "Science China. Mathematics"} @String{j-SCIENCE = "Science"} @String{j-SERDICA-MATH-J = "Serdica. Mathematical Journal. Serdika. Matematichesko Spisanie"} @String{j-SET-VALUED-ANAL = "Set-Valued Analysis"} @String{j-SET-VALUED-VAR-ANAL = "Set-Valued and Variational Analysis"} @String{j-SIAM-J-CONTROL-OPTIM = "SIAM Journal on Control and Optimization"} @String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-OPT = "SIAM Journal on Optimization"} @String{j-SIAM-NEWS = "SIAM News"} @String{j-SIAM-REVIEW = "SIAM Review"} @String{j-SIGSAM = "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)"} @String{j-STUDIA-MATH = "Studia Mathematica"} @String{j-THEOR-COMP-SCI = "Theoretical Computer Science"} @String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical Society"} @String{j-TRANS-INFO-PROCESSING-SOC-JAPAN = "Transactions of the Information Processing Society of Japan"} @String{j-UTIL-MATH = "Utilitas Mathematica"} @String{j-Z-OPER-RES = "Zeitschrift f{\"u}r Operations Research. Mathematical Methods of Operations Research"} @String{j-ZOR-MATH-METHODS-OPER-RES = "ZOR --- Mathematical Methods of Operations Research"} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-A-K-PETERS = "A. K. Peters, Ltd."} @String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"} @String{pub-ACADEMIC = "Academic Press"} @String{pub-ACADEMIC:adr = "New York, NY, USA"} @String{pub-ACM = "ACM Press"} @String{pub-ACM:adr = "New York, NY 10036, USA"} @String{pub-AMS = "American Mathematical Society"} @String{pub-AMS:adr = "Providence, RI, USA"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-ELSEVIER = "Elsevier"} @String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"} @String{pub-IEEE = "IEEE Computer Society Press"} @String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-KLUWER = "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-LITTLE-BROWN = "Little, Brown and Co."} @String{pub-LITTLE-BROWN:adr = "Boston, MA, USA"} @String{pub-LONGMAN = "Longman Scientific and Technical"} @String{pub-LONGMAN:adr = "Harlow, Essex, UK"} @String{pub-MATH-ASSOC-AMER = "Mathematical Association of America"} @String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"} @String{pub-NORTH-HOLLAND = "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"} @String{pub-PRINCETON = "Princeton University Press"} @String{pub-PRINCETON:adr = "Princeton, NJ, USA"} @String{pub-REIDEL = "D. Reidel"} @String{pub-REIDEL:adr = "Dordrecht, The Netherlands; Boston, MA, USA; Lancaster, UK; Tokyo, Japan"} @String{pub-SIAM = "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr = "Philadelphia, PA, USA"} @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WADSWORTH = "Wadsworth"} @String{pub-WADSWORTH:adr = "Pacific Grove, CA, USA"} @String{pub-WILEY = "Wiley"} @String{pub-WILEY:adr = "New York, NY, USA"} %%% ==================================================================== %%% Series abbreviations: %%% ==================================================================== %%% Part 1 (of 4): Academic works by Jonathan Michael Borwein %%% %%% Bibliography entries, sorted by year, and then by citation label, %%% with ``bibsort --byyear'': @MastersThesis{Borwein:1972:MON, author = "Jonathan Michael Borwein", title = "Monotone Operators and Non-Linear Functional Analysis", type = "{M.Sc.} thesis", school = "Oxford University", address = "Oxford, UK", year = "1972", bibdate = "Thu Aug 11 17:24:59 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @PhdThesis{Borwein:1974:ORP, author = "Jonathan Michael Borwein", title = "Optimization with respect to partial orderings", type = "{D.Phil.} thesis", school = "Oxford University", address = "Oxford, UK", year = "1974", bibdate = "Wed Aug 10 10:59:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://search.proquest.com/pqdtglobal/docview/1767375969/", acknowledgement = ack-nhfb, advisor = "M. A. H. (Michael Alan Howarth) Dempster", } @Article{Borwein:1976:FPD, author = "J. M. Borwein", title = "Fractional programming without differentiability", journal = j-MATH-PROG, volume = "11", number = "1", pages = "283--290", year = "1976", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01580396", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C10 (65K05)", MRnumber = "0449664", MRreviewer = "Siegfried Schaible", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1671/; http://link.springer.com/article/10.1007/BF01580396", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxnumber = "3", } @Article{Borwein:1976:NFJ, author = "J. M. Borwein", title = "A note on {Fritz John} sufficiency", journal = j-BULL-AUSTRAL-MATH-SOC, volume = "15", number = "2", pages = "293--296", month = oct, year = "1976", CODEN = "ALNBAB", DOI = "https://doi.org/10.1017/S0004972700022656", ISSN = "0004-9727 (print), 1755-1633 (electronic)", ISSN-L = "0004-9727", MRclass = "90C30", MRnumber = "0426851", MRreviewer = "R. N. Kaul", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1515/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4812456", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Australian Mathematical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ", } @Article{Borwein:1976:TCC, author = "J. Borwein and R. O'Brien", title = "Tangent cones and convexity", journal = j-CAN-MATH-BULL, volume = "19", number = "3", pages = "257--261", year = "1976", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1976-040-x", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "46A99 (52A05)", MRnumber = "0454586", MRreviewer = "A. Gopfert", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1517/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:1976:VS, author = "J. Borwein and M. Edelstein and R. O'Brien", title = "Visibility and Starshape", journal = j-J-LOND-MATH-SOC-2, volume = "S2-14", number = "2", pages = "313--318", month = nov, year = "1976", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s2-14.2.313", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", MRclass = "46B05", MRnumber = "0428010", MRreviewer = "Bor-Luh Lin", bibdate = "Fri Aug 12 16:38:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1670/; http://jlms.oxfordjournals.org/content/s2-14/2/313.full.pdf+html", acknowledgement = ack-nhfb, ajournal = "J. Lond. Math. Soc. (2)", fjournal = "Journal of the London Mathematical Society (series 2)", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Borwein:1977:MCO, author = "J. Borwein", title = "Multivalued convexity and optimization: a unified approach to inequality and equality constraints", journal = j-MATH-PROG, volume = "13", number = "2", pages = "183--199", year = "1977", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01584336", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "52A40 (90C25)", MRnumber = "0451166", MRreviewer = "J. Stoer", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1669/; http://link.springer.com/article/10.1007/BF01584336", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Borwein:1977:PEH, author = "J. Borwein", title = "A proof of the equivalence of {Helly}'s and {Krasnoselski}'s theorems", journal = j-CAN-MATH-BULL, volume = "20", number = "1", pages = "35--37", month = mar, year = "1977", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1977-007-4", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "52A35", MRnumber = "0478014", MRreviewer = "John D. Baildon", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cmb/v20/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", URL = "http://docserver.carma.newcastle.edu.au/1518/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:1977:PEP, author = "J. Borwein", title = "Proper Efficient Points for Maximizations with Respect to Cones", journal = j-SIAM-J-CONTROL-OPTIM, volume = "15", number = "1", pages = "57--63", month = jan, year = "1977", CODEN = "SJCODC", DOI = "https://doi.org/10.1137/0315004", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "90C30 (65K05 49B99)", MRnumber = "0434441", MRreviewer = "M. Rossler", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/15/1; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib", URL = "http://docserver.carma.newcastle.edu.au/1667/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", journalabr = "SIAM J Control Optim", onlinedate = "January 1977", } @Article{Borwein:1977:SRV, author = "J. Borwein and M. Edelstein and R. O'Brien", title = "Some remarks on visibility and starshape", journal = j-J-LOND-MATH-SOC-2, volume = "S2-15", number = "2", pages = "342--344", month = apr, year = "1977", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s2-15.2.342", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", MRclass = "46A99", MRnumber = "0442642", MRreviewer = "Bor-Luh Lin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1666/; http://jlms.oxfordjournals.org/content/s2-15/2/342.full.pdf+html", acknowledgement = ack-nhfb, ajournal = "J. Lond. Math. Soc. (2)", fjournal = "Journal of the London Mathematical Society (series 2)", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Misc{Borwein:1977:WLP, author = "J. M. Borwein", title = "The {William Lowell Putnam} Competition. {A} Brief History", howpublished = "Unpublished notes.", pages = "9", day = "26", month = jan, year = "1977", bibdate = "Mon Nov 07 06:59:36 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "In December 1921 William Lowell Putnam, a magna cum laude Mathematics graduate of the Harvard class of 1882, wrote in the Harvard Graduate Magazine on ``A Suggestion For Increasing The Undergraduate Interest In Studies''. He noted that all prizes for scholarship were individual and suggested that ``a Harvard man prefers for example to be a member of a tennis team to play against Yale \ldots{} rather than to be champion of Harvard'' and that the same principle of team work and team competition ``which has inspired young men to undertake and undergo so much for the sake of athletic victories might accomplish some result in academic fields''. These sentiments, and others which seem even more dated, would probably have had no effect were it not that Putnam's wife was a Lowell, was extremely rich and was the sister of then President Abbott Lowell of Harvard. Putnam's mother was also a Lowell while his father was a Unitarian with all the right connections and memberships who founded the English Speaking Union among other organizations and wrote prodigiously on many learned topics", acknowledgement = ack-nhfb, } @Article{Borwein:1978:CCC, author = "J. M. Borwein and R. C. O'Brien", title = "Cancellation characterizes convexity", journal = "Nanta Mathematica", volume = "11", number = "1", pages = "100--102", year = "1978", CODEN = "NAMAB2", ISSN = "0077-2739", MRclass = "52A20", MRnumber = "510842", MRreviewer = "John D. Baildon", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1659/", acknowledgement = ack-nhfb, ajournal = "Nanta Math.", fjournal = "Nanyang University. Nanta Mathematica", } @Article{Borwein:1978:SEF, author = "J. M. Borwein", title = "On strongly exposing functionals", journal = j-PROC-AM-MATH-SOC, volume = "69", number = "1", pages = "46--48", year = "1978", CODEN = "PAMYAR", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B99 (52A05)", MRnumber = "0493272", MRreviewer = "Ka Sing Lau", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1665/; http://www.jstor.org/stable/2043185", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1978:TCS, author = "J. M. Borwein", title = "Tangent cones, starshape and convexity", journal = j-INT-J-MATH-MATH-SCI, volume = "1", number = "4", pages = "459--477", year = "1978", DOI = "https://doi.org/10.1155/S0161171278000460", ISSN = "0161-1712 (print), 1687-0425 (electronic)", ISSN-L = "0161-1712", MRclass = "52A30 (90C30)", MRnumber = "517949", MRreviewer = "Gerald Beer", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1663/", acknowledgement = ack-nhfb, fjournal = "International Journal of Mathematics and Mathematical Sciences", journal-URL = "https://www.hindawi.com/journals/ijmms/", } @Article{Borwein:1978:WTC, author = "J. Borwein", title = "Weak Tangent Cones and Optimization in a {Banach} Space", journal = j-SIAM-J-CONTROL-OPTIM, volume = "16", number = "3", pages = "512--522", month = may, year = "1978", CODEN = "SJCODC", DOI = "https://doi.org/10.1137/0316034", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "65K05 (90C99)", MRnumber = "0478612", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/16/3; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib", URL = "http://docserver.carma.newcastle.edu.au/1664/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", journalabr = "SIAM J Control Optim", onlinedate = "May 1978", } @Unpublished{Borwein:1979:CD, author = "J. M. Borwein", title = "On convex decompositions", year = "1979", bibdate = "Fri Aug 12 16:51:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Accepted for publication in \booktitle{Nanta Mathematica}, but the journal ceased publication in 1979 before the paper appeared.", URL = "http://docserver.carma.newcastle.edu.au/1672/", acknowledgement = ack-nhfb, } @TechReport{Borwein:1979:COA, author = "J. M. Borwein and H. Wolkowicz", title = "Characterizations of Optimality for the Abstract Convex Program", type = "Research Report", number = "19", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", pages = "54", month = jul, year = "1979", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", abstract = "This paper presents characterizations of optimality for the convex program $$ (p) \mu = \inf \{ p(x) \colon g(x) \in - S, x \in \Omega \} $$ when $S$ is an arbitrary convex cone in a finite dimensional space, $ \Omega $ is a convex set and $p$ and $g$ are respectively convex and S-convex(on $ \Omega $). These characterizations, which include a Lagrange multiplier and do not presume any a priori constraint qualification, subsume those presently in the literature.", acknowledgement = ack-nhfb, keywords = "abstract programming; cone of positive semi-definite matrices; convexity; duality principles; facial reduction; Lagrange multipliers; Slater's condition; subgradients; symmetric matrices", } @TechReport{Borwein:1979:COC, author = "J. M. Borwein and H. Wolkowicz", title = "Characterizations of optimality without constraint qualification for the abstract convex program", type = "Research Report", number = "14", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", pages = "59", month = jun, year = "1979", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", acknowledgement = ack-nhfb, } @TechReport{Borwein:1979:DTS, author = "J. M. Borwein", title = "Direct theorems in semi-infinite convex programming", type = "Report", number = "11", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", pages = "33", month = apr, year = "1979", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "Recently Ben-Tal, Ben-Israel and Rossinger [1] have proven a ``direct theorem'' for the existence of finite subprograms for infinitely constrained programming problems with finitely many variables. They did this via a Helly-type theorem for open convex sets due to Klee [10], [7]. The proof of Klee's theorem [10] is somewhat difficult to follow and, in addition, requires the use of the notion of an ``open-closed'' family of sets. One of the purposes of this paper is to provide an entirely self-contained proof of an extension of the result in [1].", acknowledgement = ack-nhfb, } @TechReport{Borwein:1979:LLC, author = "J. M. Borwein", title = "The Limiting Lagrangean as a Consequence of {Helly's Theorem}", type = "Report", number = "7", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", month = mar, year = "1979", bibdate = "Tue Nov 08 15:34:18 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "The perturbational Lagrangean equation established by Jeroslow in convex semi-infinite programming is derived from Helly's Theorem and some prior results on one dimensional perturbations of convex programs.", acknowledgement = ack-nhfb, keywords = "Affine Minorants; convex semi-infinite programming; Helly's Theorem; limiting Lagrangeans; Recession Directions", } @Article{Borwein:1979:MAF, author = "J. M. Borwein", title = "A multivalued approach to the {Farkas} lemma", journal = j-MATH-PROG-STUDY, volume = "10", pages = "42--47", year = "1979", CODEN = "MPSTDF", DOI = "https://doi.org/10.1007/BFb0120842", ISSN = "0303-3929", MRclass = "90C99", MRnumber = "527056", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Point-to-set maps and mathematical programming.", URL = "http://docserver.carma.newcastle.edu.au/1660/; http://link.springer.com/chapter/10.1007/BFb0120842", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming Study", } @InCollection{Borwein:1979:MFP, author = "J. M. Borwein", booktitle = "{Third Symposium on Operations Research (Univ. Mannheim, Mannheim, 1978), Section I}", title = "The minimum of a family of programs", volume = "31", publisher = "Hain", pages = "99--111", year = "1979", MRclass = "90C25", MRnumber = "541191", MRreviewer = "Jacques Dubois", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Operations Res. Verfahren", acknowledgement = ack-nhfb, addresss = "K{\"o}nigstein im Taunus, West Germany", } @Article{Borwein:1979:MLP, author = "Jonathan M. Borwein", title = "Monochrome lines in the plane", journal = j-MATH-MAG, volume = "52", number = "1", pages = "41--45", year = "1979", CODEN = "MAMGA8", DOI = "https://doi.org/10.2307/2689976", ISSN = "0025-570X (print), 1930-0980 (electronic)", ISSN-L = "0025-570X", MRclass = "54B20 (57N05)", MRnumber = "524202", MRreviewer = "H. W. Lambert", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1662/", acknowledgement = ack-nhfb, fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", } @Article{Borwein:1979:TVS, author = "J. M. Borwein", title = "Two variants of {Sylvester}'s theorem", journal = "Atlantic Mathematics Bulletin", volume = "3", number = "??", pages = "11--13", month = "????", year = "1979", DOI = "", ISSN = "0705-9078", ISSN-L = "0705-9078", bibdate = "Fri Aug 12 16:08:43 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1658/", acknowledgement = ack-nhfb, ajournal = "Atlantic Math. Bull.", fjournal = "Atlantic Mathematics Bulletin", } @Article{Borwein:1979:WLS, author = "J. M. Borwein", title = "Weak local supportability and applications to approximation", journal = j-PAC-J-MATH, volume = "82", number = "2", pages = "323--338", year = "1979", CODEN = "PJMAAI", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", MRclass = "46B99 (41A25 49A27 58C20 90C30)", MRnumber = "551692", MRreviewer = "Ka Sing Lau", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://projecteuclid.org/euclid.pjm/1102784876", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", } @Article{Borwein:1980:GPE, author = "J. M. Borwein", title = "The geometry of {Pareto} efficiency over cones", journal = j-OPTIMIZATION, volume = "11", number = "2", pages = "235--248", year = "1980", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331938008842650", ISSN = "0323-3898", ISSN-L = "0233-1934", MRclass = "90C31 (58E17 90C25 90C30)", MRnumber = "640689", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.tandfonline.com/doi/abs/10.1080/02331938008842650", acknowledgement = ack-nhfb, fjournal = "Mathematische Operationsforschung und Statistik Series Optimization", onlinedate = "5 July 2007", } @Article{Borwein:1980:HMC, author = "J. Borwein and L. Keener", title = "The {Hausdorff} metric and {{\v{C}}eby{\v{s}}ev} centres", journal = j-J-APPROX-THEORY, volume = "28", number = "4", pages = "366--376", year = "1980", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/0021-9045(80)90071-4", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "41A65 (46B20)", MRnumber = "589992", MRreviewer = "S. Cobza{\c{s}}", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1652/; http://www.sciencedirect.com/science/article/pii/0021904580900714", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @Article{Borwein:1980:LM, author = "J. M. Borwein", title = "Lexicographic multipliers", journal = j-J-MATH-ANAL-APPL, volume = "78", number = "1", pages = "309--327", year = "1980", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(80)90228-0", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "90C25 (58C20)", MRnumber = "595782", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1653/; http://www.sciencedirect.com/science/article/pii/0022247X80902280", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @TechReport{Borwein:1980:LMT, author = "J. M. Borwein", title = "A {Lagrange} Multiplier Theorem and a Sandwich Theorem for Convex Relations", type = "Research Report", number = "80-1", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", pages = "26", day = "15", month = jan, year = "1980", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We formulate and prove various separation principles for convex relations taking values in an order complete vector space. These principles subsume the standard ones", acknowledgement = ack-nhfb, keywords = "convex relations; Fenchel's theorem; Lagrange multipliers; order complete spaces; separation", } @Article{Borwein:1980:NPD, author = "J. M. Borwein", title = "A note on perfect duality and limiting {Lagrangeans}", journal = j-MATH-PROG, volume = "18", number = "1", pages = "330--337", year = "1980", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01588327", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C25", MRnumber = "571994", MRreviewer = "N. N. Astaf{\cprime}ev", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1654/; http://link.springer.com/article/10.1007/BF01588327", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxnumber = "3", } @Article{Borwein:1980:SDT, author = "J. M. Borwein", title = "A strong duality theorem for the minimum of a family of convex programs", journal = j-J-OPT-THEORY-APPL, volume = "31", number = "4", pages = "453--472", year = "1980", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00934472", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25 (46G99 90C30)", MRnumber = "600199", MRreviewer = "Tadashi Nakamura", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1657/; http://link.springer.com/article/10.1007/BF00934472", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Tijs:1980:SGC, author = "S. H. Tijs and J. M. Borwein", title = "Some Generalizations of {Carath{\'e}odory}'s Theorem via Barycentres, with Application to Mathematical Programming", journal = j-CAN-MATH-BULL, volume = "23", number = "3", pages = "339--346", month = sep, year = "1980", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1980-048-x", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "90C05 (46G99 58C20)", MRnumber = "593393", MRreviewer = "M. Brannigan", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cmb/v23/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", URL = "http://docserver.carma.newcastle.edu.au/1656/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @InCollection{Borwein:1981:CCP, author = "J. M. Borwein and H. Wolkowicz", booktitle = "Generalized Convexity in Optimization and Economics", title = "Cone convex programming, stability and affine constraints", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "379--392", year = "1981", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Aug 15 15:19:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", } @Article{Borwein:1981:COA, author = "Jon M. Borwein and Henry Wolkowicz", title = "Characterization of optimality for the abstract convex program with finite dimensional range", journal = j-J-AUSTRAL-MATH-SOC-SER-A, volume = "30", number = "4", pages = "390--411", month = apr, year = "1981", CODEN = "JAMADS", DOI = "https://doi.org/10.1017/S1446788700017882", ISSN = "0263-6115 (print), 2396-8192 (electronic)", ISSN-L = "0263-6115", MRclass = "90C48", MRnumber = "621556 (83i:90156)", MRreviewer = "R. L. Graves", bibdate = "Wed Aug 31 15:25:43 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://docserver.carma.newcastle.edu.au/1649/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4896312", acknowledgement = ack-nhfb, fjournal = "Journal of the Australian Mathematical Society. Series A", journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ", received = "21 March 1980", } @InCollection{Borwein:1981:CRO, author = "J. M. Borwein", booktitle = "Generalized Convexity in Optimization and Economics", title = "Convex relations in optimization and analysis", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "335--377", year = "1981", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Aug 15 15:17:45 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Borwein:1981:DTS, author = "J. M. Borwein", title = "Direct theorems in semi-infinite convex programming", journal = j-MATH-PROG, volume = "21", number = "1", pages = "301--318", year = "1981", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01584251", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C25 (49D39 90C30)", MRnumber = "632637", MRreviewer = "{\c{S}}tefan {\c{T}}igan", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/article/10.1007/BF01584251", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxnumber = "3", } @Article{Borwein:1981:FRC, author = "Jon M. Borwein and Henry Wolkowicz", title = "Facial reduction for a cone-convex programming problem", journal = j-J-AUSTRAL-MATH-SOC-SER-A, volume = "30", number = "3", pages = "369--380", month = feb, year = "1981", CODEN = "JAMADS", DOI = "https://doi.org/10.1017/S1446788700017250", ISSN = "0263-6115 (print), 2396-8192 (electronic)", ISSN-L = "0263-6115", MRclass = "90C25; 90C48", MRnumber = "83b:90121 (614086)", MRreviewer = "B. T. Polyak", bibdate = "Wed Aug 31 16:29:21 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://docserver.carma.newcastle.edu.au/1650/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5441184", ZMnumber = "0464.90086", acknowledgement = ack-nhfb, fjournal = "Journal of the Australian Mathematical Society. Series A", journal-URL = "http://journals.cambridge.org/action/displayBackIssues?jid=JAZ", onlinedate = "28 July 1980", received = "21 March 1980", } @Article{Borwein:1981:LLC, author = "J. M. Borwein", title = "The limiting {Lagrangian} as a consequence of {Helly}'s theorem", journal = j-J-OPT-THEORY-APPL, volume = "33", number = "4", pages = "497--513", year = "1981", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00935755", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25", MRnumber = "616567", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1647/; http://link.springer.com/article/10.1007/BF00935755", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:1981:LMT, author = "J. M. Borwein", title = "A {Lagrange} multiplier theorem and a sandwich theorem for convex relations", journal = j-MATH-SCAND, volume = "48", number = "2", pages = "189--204", year = "1981", CODEN = "MTSCAN", ISSN = "0025-5521 (print), 1903-1807 (electronic)", ISSN-L = "0025-5521", MRclass = "49A50 (26A51 46A22 90C25); 49J45 (Optimal control problems involving semicontinuity and convergence; relaxation); 58C06 (Set-valued and function-space valued mappings on manifolds); 49J27 (Optimal control problems in abstract spaces (existence)); 46A30 (Open mapping and closed graph theorems; completeness); 46A40 (Ordered topological linear spaces, vector lattices)", MRnumber = "631335", MRreviewer = "Michel Th{\'e}ra", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1646/; http://www.mscand.dk/article/view/11911/9927", ZMnumber = "0468.49007", acknowledgement = ack-nhfb, fjournal = "Mathematica Scandinavica", journal-URL = "http://www.mscand.dk/issue/archive", } @Article{Borwein:1981:RAC, author = "Jon Borwein and Henry Wolkowicz", title = "Regularizing the abstract convex program", journal = j-J-MATH-ANAL-APPL, volume = "83", number = "2", pages = "495--530", year = "1981", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(81)90138-4", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "90C48 (90C25)", MRnumber = "641348", MRreviewer = "S. Zlobec", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://docserver.carma.newcastle.edu.au/1645/; http://www.sciencedirect.com/science/article/pii/0022247X81901384", abstract = "Characterizations of optimality for the abstract convex program $ \mu = i n f \{ p(x) \colon g(x) \in - S, x \in \Omega \} (P) $ where $S$ is an arbitrary convex cone in a finite dimensional space, $ \Omega $ is a convex set, and $p$ and $g$ are respectively convex and $S$-convex (on $ \Omega $), were given in [10]. These characterizations hold without any constraint qualification. They use the ``minimal cone'' $ S^f$ of $ (P)$ and the cone of directions of constancy $ D_g = (S^f)$. In the faithfully convex case these cones can be used to regularize $ (P)$, i.e., transform $ (P)$ into an equivalent program $ (P_r)$ for which Slater's condition holds. We present an algorithm that finds both $ S^$ f and $ D_g = (S^f)$. The main step of the algorithm consists in solving a particular complementarity problem. We also present a characterization of optimality for $ (P)$ in terms of the cone of directions of constancy of a convex functional $ D_{\phi g}^ = $ rather than $ D_g^ = (S^f)$.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Borwein:1981:SRP, author = "J. Borwein", title = "Some remarks on a paper of {{\c{S}. Cobza{\c{s}} on antiproximal sets: ``Antiproximinal sets in some Banach spaces'' [Math. Balkanica {\bf 4} (1974), 79--82;\ {MR} {\bf 51} \#13553]}}", journal = j-BULL-CALCUTTA-MATH-SOC, volume = "73", number = "1", pages = "5--8", year = "1981", CODEN = "BCMSA5", ISSN = "0008-0659", ISSN-L = "0008-0659", MRclass = "46B20", MRnumber = "669750", MRreviewer = "M. M. Day", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1648/", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Calcutta Mathematical Society", journal-URL = "http://bulletin.calmathsoc.org/database.php", } @Article{Borwein:1982:CDP, author = "J. M. Borwein", title = "Continuity and differentiability properties of convex operators", journal = j-PROC-LONDON-MATH-SOC-3, volume = "44", number = "3", pages = "420--444", year = "1982", CODEN = "PLMTAL", DOI = "https://doi.org/10.1112/plms/s3-44.3.420", ISSN = "0024-6115 (print), 1460-244x (electronic)", ISSN-L = "0024-6115", MRclass = "58C20 (46G99 47H99 49A51 52A07)", MRnumber = "656244", MRreviewer = "Jean-Paul Penot", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1640/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the London Mathematical Society. Third Series", journal-URL = "http://londmathsoc.onlinelibrary.wiley.com/hub/journal/10.1112/(ISSN)1460-244X/", } @Article{Borwein:1982:COCa, author = "J. M. Borwein and H. Wolkowicz", title = "Characterizations of optimality without constraint qualification for the abstract convex program", journal = j-MATH-PROG-STUDY, volume = "19", pages = "77--100", year = "1982", CODEN = "MPSTDF", ISSN = "0303-3929", ISSN-L = "0303-3929", MRclass = "90C25", MRnumber = "669726", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", note = "Optimality and stability in mathematical programming.", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming Study", } @InProceedings{Borwein:1982:COCb, author = "J. M. Borwein and H. Wolkowicz", booktitle = "{Optimality and Stability in Mathematical Programming}", title = "Characterizations of optimality without constraint qualification for the abstract convex program", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "1982", DOI = "https://doi.org/10.1007/BFb0120983", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0120983", acknowledgement = ack-nhfb, } @Article{Borwein:1982:HBE, author = "Jonathan M. Borwein", title = "On the {Hahn--Banach} extension property", journal = j-PROC-AM-MATH-SOC, volume = "86", number = "1", pages = "42--46", year = "1982", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2044393", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46A40 (06F20)", MRnumber = "663863", MRreviewer = "M. M. Day", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1982:NES, author = "J. M. Borwein", title = "A note on the existence of subgradients", journal = j-MATH-PROG, volume = "24", number = "2", pages = "225--228", year = "1982", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01585105", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "49A50 (90C25)", MRnumber = "674632", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1641/; http://link.springer.com/article/10.1007/BF01585105", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", xxnumber = "1", } @Article{Borwein:1982:NSC, author = "J. M. Borwein", title = "Necessary and sufficient conditions for quadratic minimality", journal = j-NUMER-FUNCT-ANAL-OPTIM, volume = "5", number = "2", pages = "127--140", year = "1982", CODEN = "NFADOL", DOI = "https://doi.org/10.1080/01630568208816135", ISSN = "0163-0563 (print), 1532-2467 (electronic)", ISSN-L = "0163-0563", MRclass = "90C20", MRnumber = "704109", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1639/", acknowledgement = ack-nhfb, fjournal = "Numerical Functional Analysis and Optimization. An International Journal", journal-URL = "http://www.tandfonline.com/loi/lnfa20", } @Article{Borwein:1982:NSM, author = "J. M. Borwein", title = "A note on {$ \varepsilon $}-subgradients and maximal monotonicity", journal = j-PAC-J-MATH, volume = "103", number = "2", pages = "307--314", year = "1982", CODEN = "PJMAAI", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", MRclass = "90C25 (49A50 58C20)", MRnumber = "705231", MRreviewer = "J. E. Spingarn", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://projecteuclid.org/euclid.pjm/1102723964", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", } @Article{Borwein:1982:SSI, author = "J. M. Borwein and G. P. H. Styan and H. Wolkowicz", title = "Solutions: Some Inequalities Involving Statistical Expressions ({L. V. Foster})", journal = j-SIAM-REVIEW, volume = "24", number = "3", pages = "340--342", month = "????", year = "1982", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1024072", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Mar 29 09:53:30 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/24/3; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "July 1982", } @Article{Borwein:1983:APD, author = "J. M. Borwein", title = "Adjoint process duality", journal = j-MATH-OP-RES, volume = "8", number = "3", pages = "403--434", year = "1983", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.8.3.403", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C25", MRnumber = "716121", MRreviewer = "J. E. Spingarn", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See letter \cite{Zalinescu:1986:LEJ}.", URL = "http://docserver.carma.newcastle.edu.au/1633/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Borwein:1983:CCP, author = "J. M. Borwein", title = "Completeness and the contraction principle", journal = j-PROC-AM-MATH-SOC, volume = "87", number = "2", pages = "246--250", year = "1983", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2043697", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "54H25 (54E40)", MRnumber = "681829", MRreviewer = "L. Janos", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1637/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1983:EPE, author = "Jonathan M. Borwein", title = "On the existence of {Pareto} efficient points", journal = j-MATH-OP-RES, volume = "8", number = "1", pages = "64--73", month = feb, year = "1983", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.8.1.64", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C25 (46N05 52A05)", MRnumber = "703826", MRreviewer = "Autorreferat", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1636/; http://www.jstor.org/stable/3689411", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Borwein:1983:FDS, author = "J. M. Borwein and K. O. Kortanek", title = "{Fenchel}-duality and separably-infinite programs", journal = j-OPTIMIZATION, volume = "14", number = "1", pages = "37--48.", year = "1983", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331938308842831", ISSN = "0323-3898", ISSN-L = "0233-1934", MRclass = "90C25 (90C05)", MRnumber = "694801", MRreviewer = "W. F. Tyndall", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Mathematische Operationsforschung und Statistik Series Optimization", } @InCollection{Borwein:1983:HSS, author = "J. M. Borwein", booktitle = "Semi-infinite Programming", title = "How special is semi-infinite programming?", publisher = pub-SV, address = pub-SV:adr, pages = "139--172", year = "1983", bibdate = "Mon Aug 15 15:11:40 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Borwein:1983:NFL, author = "J. M. Borwein", title = "A note on the {Farkas} lemma", journal = j-UTIL-MATH, volume = "24", pages = "235--241", year = "1983", CODEN = "UTMADA", ISSN = "0315-3681", MRclass = "90C05 (90C30)", MRnumber = "724772", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1631/", acknowledgement = ack-nhfb, fjournal = "Utilitas Mathematica. A Canadian Journal of Applied Mathematics, Computer Science, and Statistics", journal-URL = "http://bkocay.cs.umanitoba.ca/utilitas/index.html", } @Article{Borwein:1983:NMB, author = "Jonathan Borwein and Brailey Sims", title = "Nonexpansive mappings on {Banach} lattices", journal = j-C-R-ACAD-SCI-CANADA, volume = "5", number = "1", pages = "21--26", year = "1983", ISSN = "0706-1994", MRclass = "46A40 (46B20 47H09)", MRnumber = "690312", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1635/", acknowledgement = ack-nhfb, fjournal = "La Soci{\'e}t{\'e} Royale du Canada. L'Academie des Sciences. Comptes Rendus Math{\'e}matiques. (Mathematical Reports)", } @Article{Borwein:1983:PSA, author = "J. Borwein and Gabor J. Szekely and Andras Zempleni and Michael Barr and Edmund Butler and Allen J. Schwenk and Thomas Q. Sibley", title = "Problems and Solutions: Advanced Problems: 6430-6435", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "6", pages = "402--403", year = "1983", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2975584", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1540218", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Borwein:1983:SIP, author = "Jonathan M. Borwein", booktitle = "Semi-infinite programming and applications ({Austin}, {Tex}., 1981)", title = "Semi-infinite programming duality: how special is it?", volume = "215", publisher = pub-SV, address = pub-SV:adr, pages = "10--36", year = "1983", MRclass = "49D39 (90C30)", MRnumber = "709266", MRreviewer = "Sven-{\.A}ke Gustafson", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Lecture Notes in Econom. and Math. Systems", acknowledgement = ack-nhfb, } @Article{Borwein:1983:VRC, author = "J. M. Borwein and P. B. Borwein", title = "A very rapidly convergent product expansion for $ \pi $", journal = j-BIT, volume = "23", number = "4", pages = "538--540", month = dec, year = "1983", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01933626", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65B99", MRnumber = "721199, 85h:65011", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=4; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://docserver.carma.newcastle.edu.au/1634/; http://link.springer.com/article/10.1007/BF01933626; http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=4&spage=538", acknowledgement = ack-nhfb, fjournal = "BIT (Nordisk tidskrift for informationsbehandling)", journal-URL = "http://link.springer.com/journal/10543", } @Article{Borwein:1984:AGM, author = "J. M. Borwein and P. B. Borwein", title = "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions", journal = j-SIAM-REVIEW, volume = "26", number = "3", pages = "351--366", month = jul, year = "1984", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1026073", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65D20 (26A09)", MRnumber = "750454; 86d:65029", MRreviewer = "S. Conde", bibdate = "Tue Mar 14 07:52:56 2017", bibsource = "Compendex database; ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; http://epubs.siam.org/toc/siread/26/3; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/agm.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2031275", abstract = "We produce a self contained account of the relationship between the Gaussian arithmetic--geometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for pi is one of the by-products.", acknowledgement = ack-nhfb # " and " # ack-nj, affiliationaddress = "Dalhousie Univ, Halifax, NS, Can", classification = "723; 921", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", journalabr = "SIAM Rev", keywords = "AGM (Arithmetic--Geometric Mean); arithmetic--geometric mean; calculation of pi; computational methods; elliptic functions; Iterative Methods; mathematical techniques; numerical mathematics", onlinedate = "July 1984", } @Article{Borwein:1984:ANV, author = "J. M. Borwein and D. T. Yost", title = "Absolute norms on vector lattices", journal = j-PROC-EDINBURGH-MATH-SOC-2, volume = "27", number = "2", pages = "215--222", month = jun, year = "1984", CODEN = "PEMSA3", DOI = "https://doi.org/10.1017/S0013091500022318", ISSN = "0013-0915 (print), 1464-3839 (electronic)", ISSN-L = "0013-0915", MRclass = "46A40 (46B30 90C48)", MRnumber = "760617", MRreviewer = "I. Namioka", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1624/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3076132", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Edinburgh Mathematical Society. Series II", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM", } @Article{Borwein:1984:CCO, author = "J. M. Borwein and J.-P. Penot and M. Th{\'e}ra", title = "Conjugate convex operators", journal = j-J-MATH-ANAL-APPL, volume = "102", number = "2", pages = "399--414", year = "1984", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(84)90180-X", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "90C48 (46G99 49A50)", MRnumber = "755971", MRreviewer = "Christian Malivert", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1620/; http://www.sciencedirect.com/science/article/pii/0022247X8490180X", abstract = "Convex mappings from a locally convex space X into F. = F \cup {+\infty } are considered, where F is an ordered topological vector space and + \infty an arbitrary greatest element adjoined to F. In view of applications to the polarity theory of convex operators, the possibility is investigated of representing a convex mapping taking values in F. as a supremum of continuous affine mappings.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Borwein:1984:CHO, author = "J. M. Borwein and P. B. Borwein", title = "Cubic and higher order algorithms for $ \pi $", journal = j-CAN-MATH-BULL, volume = "27", number = "4", pages = "436--443", month = dec, year = "1984", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1984-067-7", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "11Y16 (33A25 65D20)", MRnumber = "763041", MRreviewer = "L. C. Eggan", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cmb/v27/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://docserver.carma.newcastle.edu.au/1622/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:1984:DLM, author = "J. M. Borwein and H. M. Str{\'o}jwas", title = "Directionally {Lipschitzian} mappings on {Baire} spaces", journal = j-CAN-J-MATH, volume = "36", number = "1", pages = "95--130", year = "1984", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1984-008-7", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "49A52 (26A27 58C20 90C30 90C48)", MRnumber = "733710", MRreviewer = "Jean-Paul Penot", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1627/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @InProceedings{Borwein:1984:EAO, author = "J. M. Borwein and P. B. Borwein", title = "Explicit algebraic $n$ th order approximations to pi", crossref = "Singh:1984:ATS", volume = "136", pages = "247--256", year = "1984", DOI = "https://doi.org/10.1007/978-94-009-6466-2_12", MRclass = "65D20", MRnumber = "786845", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://link.springer.com/chapter/10.1007/978-94-009-6466-2_12", acknowledgement = ack-nhfb, } @InProceedings{Borwein:1984:EEH, author = "J. M. Borwein", editor = "????", booktitle = "APICS Proceedings", title = "On the existence of eigenvalues for {Hermitian} matrices", publisher = "????", address = "????", pages = "1--5", year = "1984", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Aug 15 15:10:50 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1984:EIA, author = "J. M. Borwein and P. B. Borwein", title = "Elliptic integrals and approximations to $ \pi $", month = jan, year = "1984", bibdate = "Mon Nov 07 17:37:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Typescript, with 84-01 added by hand on cover page.", acknowledgement = ack-nhfb, } @Article{Borwein:1984:GLC, author = "J. M. Borwein", title = "Generalized linear complementarity problems treated without fixed-point theory", journal = j-J-OPT-THEORY-APPL, volume = "43", number = "3", pages = "343--356", year = "1984", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00934459", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C33 (90C25)", MRnumber = "750013", MRreviewer = "Ikuyo Kaneko", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/article/10.1007/BF00934459", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:1984:HMM, author = "J. M. Borwein and B. Richmond", title = "How many matrices have roots?", journal = j-CAN-J-MATH, volume = "36", number = "2", pages = "286--299", year = "1984", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1984-018-0", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "15A23", MRnumber = "749985", MRreviewer = "J. L. Brenner", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1628/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Borwein:1984:ICE, author = "J. M. Borwein", title = "An integral characterization of {Euclidean} space", journal = j-BULL-AUSTRAL-MATH-SOC, volume = "29", number = "3", pages = "357--364", year = "1984", CODEN = "ALNBAB", DOI = "https://doi.org/10.1017/S0004972700021602", ISSN = "0004-9727 (print), 1755-1633 (electronic)", ISSN-L = "0004-9727", MRclass = "46C10", MRnumber = "748728", MRreviewer = "M. M. Day", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1623/", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Australian Mathematical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ", } @Article{Borwein:1984:NMB, author = "Jon M. Borwein and Brailey Sims", title = "Nonexpansive mappings on {Banach} lattices and related topics", journal = j-HOUSTON-J-MATH, volume = "10", number = "3", pages = "339--356", year = "1984", CODEN = "HJMADZ", ISSN = "0362-1588", MRclass = "47H10 (46A40 46B20)", MRnumber = "763236", MRreviewer = "Gregory B. Passty", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://www.math.uh.edu/~hjm/restricted/archive/v010n3/0339BORWEIN.pdf", acknowledgement = ack-nhfb, fjournal = "Houston Journal of Mathematics", journal-URL = "https://www.math.uh.edu/~hjm/", } @TechReport{Borwein:1984:RCC, author = "J. M. Borwein and P. B. Borwein", title = "Reduced Complexity Calculation of Log", number = "DALTR 84-01", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", pages = "17", month = jan, year = "1984", bibdate = "Mon Nov 07 17:37:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "Various reduced complexity methods for high precision computation of the logarithm are investigated.", acknowledgement = ack-nhfb, keywords = "analytic complexity; arithmetic--geometric mean; binary splitting; bit complexity; elliptic integrals; Fast Fourier Transform; logarithms; operational complexity; theta functions", remark = "Typescript, with 84-01 added by hand on cover page.", } @Article{Borwein:1984:SCO, author = "J. M. Borwein", title = "Subgradients of convex operators", journal = j-OPTIMIZATION, volume = "15", number = "2", pages = "179--191", year = "1984", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331938408842921", ISSN = "0323-3898", ISSN-L = "0233-1934", MRclass = "90C25 (65K05)", MRnumber = "741284", MRreviewer = "C. A. Botsaris", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Mathematische Operationsforschung und Statistik Series Optimization", } @TechReport{Borwein:1984:SCS, author = "J. M. Borwein and D. W. Tingley", title = "On Supportless Convex Sets", type = "Report", number = "DALTR 84-04", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", pages = "13", year = "1984", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We give some general constructions of supportless convex subsets of normed spaces and pose a number of open questions.", acknowledgement = ack-nhfb, keywords = "Bishop-Phelps Theorem; convex sets; support points", } @TechReport{Borwein:1984:SRP, author = "J. M. Borwein", title = "Stability and Regular Points of Inequality Systems", type = "Report", number = "DALTR 84-02", institution = "Department of Mathematics, Dalhousie University and Carnegie-Mellon University", address = "Halifax, NS, Canada and Pittsburgh, PA, USA", pages = "67", year = "1984", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We undertake a general study of regular points of Lipschitz and strictly differentiable mappings with applications to tangent cone analysis, inversion theorems, perturbed optimization problems and higher order conditions.", acknowledgement = ack-nhfb, } @TechReport{Borwein:1984:TCS, author = "J. M. Borwein and P. B. Borwein", title = "A tangent cone separation principle", type = "Report", number = "DALTR 84-03", institution = "Department of Mathematics, Dalhousie University", address = "Halifax, NS, Canada", month = jan, year = "1984", bibdate = "Mon Nov 07 17:37:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, remark = "Typescript, with DALTR added by hand on cover page before typewritten 84-03.", } @Article{Borwein:1984:TKN, author = "J. M. Borwein and J. W. Nieuwenhuis", title = "Two kinds of normality in vector optimization", journal = j-MATH-PROG, volume = "28", number = "2", pages = "185--191", year = "1984", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF02612358", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C31", MRnumber = "733210", MRreviewer = "M. Ma{\v{n}}as", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1626/; http://link.springer.com/article/10.1007/BF02612358", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InCollection{Borwein:1985:ATG, author = "Jonathan M. Borwein", booktitle = "Infinite programming ({Cambridge}, 1984)", title = "Alternative theorems for general complementarity problems", volume = "259", publisher = pub-SV, address = pub-SV:adr, pages = "194--203", year = "1985", DOI = "https://doi.org/10.1007/978-3-642-46564-2_15", MRclass = "90C33 (52A40)", MRnumber = "824573", MRreviewer = "J. Parida", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Lecture Notes in Econom. and Math. Systems", acknowledgement = ack-nhfb, } @Article{Borwein:1985:CLS, author = "David Borwein and Jonathan M. Borwein and Keith F. Taylor", title = "Convergence of lattice sums and {Madelung}'s constant", journal = j-J-MATH-PHYS, volume = "26", number = "11", pages = "2999--3009", month = nov, year = "1985", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.526675", ISSN = "0022-2488", ISSN-L = "0022-2488", MRclass = "82A67 (82A60)", MRnumber = "808518", MRreviewer = "Pierre Moussa", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1985JMP....26.2999B; http://docserver.carma.newcastle.edu.au/1618/", abstract = "The lattice sums involved in the definition of Madelung's constant of an NaCl-type crystal lattice in two or three dimensions are investigated. The fundamental mathematical questions of convergence and uniqueness of the sum of these, not absolutely convergent, series are considered. It is shown that some of the simplest direct sum methods converge and some do not converge. In particular, the very common method of expressing Madelung's constant by a series obtained from expanding spheres does not converge. The concept of analytic continuation of a complex function to provide a basis for an unambiguous mathematical definition of Madelung's constant is introduced. By these means, the simple intuitive direct sum methods and the powerful integral transformation methods, which are based on theta function identities and the Mellin transform, are brought together. A brief analysis of a hexagonal lattice is also given.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", } @Article{Borwein:1985:PSA, author = "Jon Borwein and Anatole Beck", title = "Problems and Solutions: Advanced Problems: 6491--6492", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "3", pages = "217--217", month = mar, year = "1985", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322884", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1540608", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Beck:1987:PSS,Borwein:1986:PSS}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1985:PSS, author = "J. Borwein", title = "Problems and Solutions: Solutions of Advanced Problems: 6430", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "2", pages = "148--149", month = feb, year = "1985", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322656", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1540590", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Borwein:1983:PSA}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1985:SCS, author = "J. M. Borwein and D. W. Tingley", title = "On supportless convex sets", journal = j-PROC-AM-MATH-SOC, volume = "94", number = "3", pages = "471--476", year = "1985", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2045238", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B20 (46A55 52A07)", MRnumber = "787897", MRreviewer = "N. T. Peck", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1619/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1985:SMI, author = "Jon Borwein", title = "Some modular identities of {Ramanujan} useful in approximating $ \pi $", journal = j-PROC-AM-MATH-SOC, volume = "95", number = "3", pages = "365--371", month = nov, year = "1985", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2045804", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "11F03 (11J72 41A25)", MRnumber = "806072", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1616/; http://www.jstor.org/stable/2045804", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1985:TA, author = "J. M. Borwein and H. M. Str{\'o}jwas", title = "Tangential approximations", journal = j-NONLINEAR-ANAL, volume = "9", number = "12", pages = "1347--1366", year = "1985", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/0362-546X(85)90095-1", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "90C48 (46A55 90C25)", MRnumber = "820646", MRreviewer = "Christian Malivert", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1617/; http://www.sciencedirect.com/science/article/pii/0362546X85900951", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "epi-Lipschitzian (compactly epi-Lipschitzian; Tangent cones; tangentially regular) set at a point; unsupportable space", } @Article{Honor:1985:DTR, author = "R. B. Honor", title = "Density and transitivity results on $ l^i n f t y $ and $ l^1 $", journal = j-J-LOND-MATH-SOC-2, volume = "S2-32", number = "3", pages = "521--527", month = dec, year = "1985", CODEN = "JLMSAK", DOI = "https://doi.org/10.1112/jlms/s2-32.3.521", ISSN = "0024-6107 (print), 1469-7750 (electronic)", ISSN-L = "0024-6107", bibdate = "Fri Aug 12 15:21:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "The `author' is an acronym for the family names of seven people: Heydar Radjavi, Jon Borwein, Don Hadwin, Richard O'Brien, Eric Nordgren, Mehmet Orhon, and Peter Rose.", URL = "http://jlms.oxfordjournals.org/content/s2-32/3/521.full.pdf+html", acknowledgement = ack-nhfb, ajournal = "J. Lond. Math. Soc. (2)", fjournal = "Journal of the London Mathematical Society (series 2)", journal-URL = "http://jlms.oxfordjournals.org/content/by/year", } @Article{Adler:1986:PSS, author = "Irving Adler and A. A. Jagers and J. M. Borwein", title = "Problems and Solutions: Solutions of Elementary Problems: {E2997}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "304--304", month = apr, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323694", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1540849", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Asic:1983:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1986:ECI, author = "J. M. Borwein and P. B. Borwein", title = "An explicit cubic iteration for $ \pi $", journal = j-BIT, volume = "26", number = "1", pages = "123--126", month = mar, year = "1986", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01939368", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "11Y60 (65D20)", MRnumber = "833837, 87e:11144", MRreviewer = "Duncan A. Buell", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=1; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://docserver.carma.newcastle.edu.au/1609/; http://link.springer.com/article/10.1007/BF01939368; http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=1&spage=123", acknowledgement = ack-nhfb, fjournal = "BIT (Nordisk tidskrift for informationsbehandling)", journal-URL = "http://link.springer.com/journal/10543", } @Article{Borwein:1986:FMT, author = "J. M. Borwein and D. Zhuang", title = "On {Fan}'s minimax theorem", journal = j-MATH-PROG, volume = "34", number = "2", pages = "232--234", year = "1986", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01580587", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C30 (90C48)", MRnumber = "838482", MRreviewer = "Marco Gaviano", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1608/; http://link.springer.com/article/10.1007/BF01580587", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Borwein:1986:GDO, author = "Jonathan M. Borwein", title = "Generic differentiability of order-bounded convex operators", journal = j-J-AUSTRAL-MATH-SOC-SER-B, volume = "28", number = "1", pages = "22--29", month = jul, year = "1986", CODEN = "JAMMDU", DOI = "https://doi.org/10.1017/S0334270000005166", ISSN = "0334-2700", MRclass = "90C25 (46G05 90C48)", MRnumber = "846780", MRreviewer = "Christian Malivert", bibdate = "Fri Sep 30 10:52:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1607/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3973752", acknowledgement = ack-nhfb, fjournal = "Australian Mathematical Society. Journal. Series B. Applied Mathematics", } @TechReport{Borwein:1986:LOC, author = "J. M. Borwein and M. A. H. Dempster", title = "The Linear Order Complementarity Problem", type = "Report", number = "DALTR 86-3", institution = "Department of Mathematics, Statistics \& Computing Science, Dalhousie University and Balliol College, Oxford University", address = "Halifax, NS, Canada and Oxford, England OX1 3BJ", pages = "47", month = jul, year = "1986", bibdate = "Tue Nov 08 15:45:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "The classical complementarity problem in Euclidean space can be viewed alternatively as a variational inequality or as a lattice orthogonality problem. Generalizations of the former have been extensively studied, but infinite dimensional analogues of the latter have been largely ignored. Moreover, as we show, many well known results about the classical complementarity problem are more appropriately viewed order-theoretically. This is particularly true of least element solutions, which are central to the present study of order complementarity in vector lattices.", acknowledgement = ack-nhfb, keywords = "(P) operators; (Z) operators; Banach lattices; complementarity problems; Least elements; order complementarity", remark = "Revision of August 1985 original.", } @Article{Borwein:1986:MQC, author = "J. M. Borwein and P. B. Borwein", title = "More quadratically converging algorithms for $ \pi $", journal = j-MATH-COMPUT, volume = "46", number = "173", pages = "247--253", month = jan, year = "1986", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008229", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D20", MRnumber = "815846, 87e:65014", MRreviewer = "M. M. Chawla", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", URL = "http://docserver.carma.newcastle.edu.au/1614/", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290Z (Other numerical methods); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Dalhousie Univ., Halifax, NS, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "arithmetic--geometric mean iteration; complete elliptic; convergence of numerical methods; Gauss--Legendre iteration; geometry; integrals; iterative; Legendre formula; methods; pi evaluation; quadratically converging algorithms", treatment = "T Theoretical or Mathematical", } @Article{Borwein:1986:NAS, author = "David Borwein and Jonathan M. Borwein", title = "A Note on Alternating Series in Several Dimensions", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "531--539", month = aug # "\slash " # sep, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323026", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "40B05 (40A05)", MRnumber = "856292, 87j:40008", MRreviewer = "F. M{\'o}ricz", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", URL = "http://docserver.carma.newcastle.edu.au/1610/", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1986:NDC, author = "J. M. Borwein", title = "Norm duality for convex processes and applications", journal = j-J-OPT-THEORY-APPL, volume = "48", number = "1", pages = "53--64", year = "1986", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00938589", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25 (46N05)", MRnumber = "825384", MRreviewer = "Lionel Thibault", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Fourth symposium on nonlinear programming with data perturbations.", URL = "http://docserver.carma.newcastle.edu.au/1613/; http://link.springer.com/article/10.1007/BF00938589", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:1986:PAB, author = "J. M. Borwein and H. M. Str{\'o}jwas", title = "Proximal analysis and boundaries of closed sets in {Banach} space. {I}. {Theory}", journal = j-CAN-J-MATH, volume = "38", number = "2", pages = "431--452", year = "1986", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1986-022-4", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "90C48 (46B10 49A50 58C20)", MRnumber = "833578", MRreviewer = "Bruce D. Craven", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1611/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Borwein:1986:PMO, author = "J. M. Borwein", title = "Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings", journal = j-ISRAEL-J-MATH, volume = "54", number = "1", pages = "42--50", year = "1986", CODEN = "ISJMAP", DOI = "https://doi.org/10.1007/BF02764875", ISSN = "0021-2172 (print), 1565-8511 (electronic)", ISSN-L = "0021-2172", MRclass = "90C48 (47H05 49A51 58C20)", MRnumber = "852468", MRreviewer = "Jean-Paul Penot", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1605/; http://link.springer.com/article/10.1007/BF02764875", acknowledgement = ack-nhfb, fjournal = "Israel Journal of Mathematics", journal-URL = "http://link.springer.com/journal/11856", } @Article{Borwein:1986:PSS, author = "Jon Borwein and William A. Newcomb", title = "Problems and Solutions: Solutions of Advanced Problems: 6491", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "10", pages = "822--823", year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322952", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1541009", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1986:SCQ, author = "J. M. Borwein and H. Wolkowicz", title = "A simple constraint qualification in infinite-dimensional programming", journal = j-MATH-PROG, volume = "35", number = "1", pages = "83--96", year = "1986", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01589443", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C48", MRnumber = "842636", MRreviewer = "W. W. Breckner", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib", URL = "http://docserver.carma.newcastle.edu.au/1606/; http://link.springer.com/article/10.1007/BF01589443", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Borwein:1986:SRP, author = "J. M. Borwein", title = "Stability and regular points of inequality systems", journal = j-J-OPT-THEORY-APPL, volume = "48", number = "1", pages = "9--52", year = "1986", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00938588", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "58C20 (46N05 90C30 90C48)", MRnumber = "825383", MRreviewer = "Lionel Thibault", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Fourth symposium on nonlinear programming with data perturbations.", URL = "http://docserver.carma.newcastle.edu.au/1612/; http://link.springer.com/article/10.1007/BF00938588", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:1987:ACO, author = "J. M. Borwein", title = "Automatic continuity and openness of convex relations", journal = j-PROC-AM-MATH-SOC, volume = "99", number = "1", pages = "49--55", month = jan, year = "1987", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2046269", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46A55 (47H99)", MRnumber = "866428", MRreviewer = "Robert T. Vescan", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1604/; http://www.jstor.org/stable/2046269", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @InProceedings{Borwein:1987:CCM, author = "J. M. Borwein", booktitle = "{Recent Advances and Historical Development of Vector Optimization}", title = "Convex Cones, Minimality Notions, and Consequences", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "1987", DOI = "https://doi.org/10.1007/978-3-642-46618-2_3", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-642-46618-2_3", acknowledgement = ack-nhfb, } @InCollection{Borwein:1987:CMN, author = "J. M. Borwein", booktitle = "Recent Advances and Historic Development of Vector Optimization", title = "Cones, minimality notions and consequences", publisher = pub-SV, address = pub-SV:adr, pages = "62--85", year = "1987", bibdate = "Mon Aug 15 15:09:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Borwein:1987:DRF, author = "J. M. Borwein and S. P. Fitzpatrick and J. R. Giles", title = "The differentiability of real functions on normed linear space using generalized subgradients", journal = j-J-MATH-ANAL-APPL, volume = "128", number = "2", pages = "512--534", year = "1987", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(87)90203-4", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "58C20 (26E15 46G05 49A52 90C48)", MRnumber = "917385", MRreviewer = "W. W. Breckner", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1598/; http://www.sciencedirect.com/science/article/pii/0022247X87902034", abstract = "The modification of the Clarke generalized subdifferential due to Michel and Penot is a useful tool in determining differentiability properties for certain classes of real functions on a normed linear space. The G{\^a}teaux differentiability of any real function can be deduced from the G{\^a}teaux differentiability of the norm if the function has a directional derivative which attains a constant related to its generalized directional derivative. For any distance function on a space with uniformly G{\^a}teaux differentiable norm, the Clarke and Michel-Penot generalized subdifferentials at points off the set reduce to the same object and this generates a continuity characterization for G{\^a}teaux differentiability. However, on a Banach space with rotund dual, the Fr{\'e}chet differentiability of a distance function implies that it is a convex function. A mean value theorem for the modified generalized subdifferential has implications for G{\^a}teaux differentiability.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @TechReport{Borwein:1987:EIE, author = "J. M. Borwein and I. J. Zucker", title = "Elliptic Integral Evaluation of the Gamma Function at Values with Small Rational Denominators", type = "Report", institution = "Department of Mathematics, Statistics and Computing Science, Dalhousie University and Department of Physics, King's College", address = "Halifax, NS B3H 3J5, Canada and London WC2, UK", pages = "13", day = "2", month = sep, year = "1987", bibdate = "Fri Nov 11 06:50:29 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We produce simplified evaluations of certain complete elliptic integrals in terms of Gamma and Beta functions. We also provide explicit quadratically convergent recursions for quantities including $ \Gamma (n / 4) $ and $ \Gamma (n / 6) $.", acknowledgement = ack-nhfb, } @Article{Borwein:1987:ELL, author = "Jonathan Michael Borwein", title = "Epi-{Lipschitz}-like sets in {Banach} space: theorems and examples", journal = j-NONLINEAR-ANAL, volume = "11", number = "10", pages = "1207--1217", year = "1987", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/0362-546X(87)90008-3", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "90C48 (46G99 58C20 90C25)", MRnumber = "913679", MRreviewer = "J. E. Spingarn", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1599/; http://www.sciencedirect.com/science/article/pii/0362546X87900083", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "differential inclusions; epi-Lipschitz-like sets; Lipschitz-like functions; locally compact subgradients; non-support points; Nonsmooth analysis; normal cones", } @Article{Borwein:1987:ERT, author = "J. M. Borwein and P. B. Borwein", title = "Explicit {Ramanujan}-type approximations to pi of high order", journal = "Proceedings of the Indian Academy of Sciences --- Mathematical Sciences", volume = "97", number = "1--3", pages = "53--59", year = "1987", DOI = "https://doi.org/10.1007/BF02837813", ISSN = "0253-4142 (print), 0973-7685 (electronic)", ISSN-L = "0253-4142", MRclass = "11Y60", MRnumber = "983604", MRreviewer = "D. H. Lehmer", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Centennial issue.", URL = "http://link.springer.com/article/10.1007/BF02837813", acknowledgement = ack-nhfb, ajournal = "Proc. Indian Acad. Sci. Math. Sci.", fjournal = "Indian Academy of Sciences. Proceedings. Mathematical Sciences", xxyear = "1988", } @TechReport{Borwein:1987:ESE, author = "D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker", title = "Energy of Static Electron Lattices", type = "Report", institution = "University of Western Ontario and Department of Mathematics, Statistics and Computing Science, Dalhousie University and University of Surrey and University of Surrey", address = "London, ON N6A 3K7, Canada and Halifax, NS B3H 3J5, Canada and Guildford, UK GU2 5XH and Guildford, UK GU2 5XH", pages = "20", day = "11", month = sep, year = "1987", bibdate = "Fri Nov 11 06:54:37 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "A new approach to evaluating the static lattice energy of any given Wigner lattice is proposed. The method is much simpler than the traditional one and the results are much faster to evaluate. The new approach is applied to two-dimensional triangular lattices where it is shown that the triangular lattice is more stable than the square lattice. Three dimensional hexagonal lattices are also investigated. In addition, we have placed many of our considerations on a rigorous mathematical footing.", acknowledgement = ack-nhfb, remark = "Date recorded in ambiguous form 11/9/87; entry Borwein:1988:CCJ has 31/12/88, suggesting that the first number is the day.", } @Article{Borwein:1987:PAB, author = "J. M. Borwein and H. M. Str{\'o}jwas", title = "Proximal analysis and boundaries of closed sets in {Banach} space. {II}. {Applications}", journal = j-CAN-J-MATH, volume = "39", number = "2", pages = "428--472", year = "1987", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1987-019-4", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "46B20 (41A65 90C48)", MRnumber = "899844", MRreviewer = "Bruce D. Craven", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1600/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Book{Borwein:1987:PAS, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Pi and the {AGM}: a Study in Analytic Number Theory and Computational Complexity", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xv + 414", year = "1987", ISBN = "0-471-83138-7, 0-471-31515-X (paperback)", ISBN-13 = "978-0-471-83138-9, 978-0-471-31515-5 (paperback)", LCCN = "QA241 .B774 1987", MRclass = "11Y60 (68Q30)", MRnumber = "877728", MRreviewer = "H. London", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; z3950.loc.gov:7090/Voyager", series = "Canadian Mathematical Society series of monographs and advanced texts = Monographies et {\'e}tudes de la Soci{\'e}t{\'e} math{\'e}matique du Canada", abstract = "Critical Acclaim for Pi and the AGM: ``Fortunately we have the Borwein's beautiful book \ldots{} explores in the first five chapters the glorious world so dear to Ramanujan \ldots{} would be a marvelous text book for a graduate course.'' --- Bulletin of the American Mathematical Society \\ ``What am I to say about this quilt of a book? One is reminded of Debussy who, on being asked by his harmony teacher to explain what rules he was following as he improvised at the piano, replied, ``Mon plaisir.'' The authors are cultured mathematicians. They have selected what has amused and intrigued them in the hope that it will do the same for us. Frankly, I cannot think of a more provocative and generous recipe for writing a book \ldots{} (it) is cleanly, even beautifully written, and attractively printed and composed. The book is unique. I cannot think of any other book in print which contains more than a smidgen of the material these authors have included. --- SIAM Review \\ ``If this subject begins to sound more interesting than it did in the last newspaper article on 130 million digits of Pi, I have partly succeeded. To succeed completely I will have gotten you interested enough to read the delightful and important book by the Borweins.'' --- American Mathematical Monthly \\ ``The authors are to be commended for their careful presentation of much of the content of Ramanujan's famous paper, 'Modular Equations and Approximations to Pi'. This material has not heretofore appeared in book form. However, more importantly, Ramanujan provided no proofs for many of the claims that he made, and so the authors provided many of the missing details \ldots{} The Borweins, indeed have helped us find the right roads.'' --- Mathematics of Computation", acknowledgement = ack-nhfb, remark = "Chinese edition 1995.", subject = "Number theory; Computational complexity; Elliptic functions; Pi", tableofcontents = "Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration \\ Theta Functions and the Arithmetic-Geometric Mean Iteration \\ Jacobi's Triple-Product and Some Number Theoretic Applications \\ Higher Order Transformations \\ Modular Equations and Algebraic Approximations to $\pi$ \\ The Complexity of Algebraic Functions \\ Algorithms for the Elementary Functions \\ General Means and Iterations \\ Some Additional Applications \\ Other Approaches to the Elementary Functions \\ Pi \\ Bibliography \\ Symbol List \\ Index", } @Article{Borwein:1987:PNF, author = "J. M. Borwein and J. R. Giles", title = "The proximal normal formula in {Banach} space", journal = j-TRANS-AM-MATH-SOC, volume = "302", number = "1", pages = "371--381", year = "1987", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2000915", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "49A52 (46B20 46G05)", MRnumber = "887515", MRreviewer = "Gianfranco Bottaro", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1602/", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1987:RRA, author = "J. M. Borwein and P. B. Borwein", title = "{Ramanujan}'s rational and algebraic series for {$ 1 / \pi $}", journal = "J. Indian Math. Soc. (N.S.)", volume = "51", pages = "147--160 (1988)", year = "1987", CODEN = "JIMTA2", ISSN = "0019-5839", ISSN-L = "0019-5839", MRclass = "11Y60 (33A30)", MRnumber = "988313", MRreviewer = "Herman J. J. te Riele", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Ramanujan Centennial issue.", acknowledgement = ack-nhfb, fjournal = "The Journal of the Indian Mathematical Society. New Series", journal-URL = "http://www.indianmathsociety.org.in/jims.htm", } @Article{Borwein:1987:SVPa, author = "Jonathan M. Borwein and David Preiss", title = "A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions", journal = j-TRANS-AM-MATH-SOC, volume = "303", number = "2", pages = "517--527", month = oct, year = "1987", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2000681", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "49A27 (46B20 46G05 49A51 49A52 58C20 90C25 90C48)", MRnumber = "902782", MRreviewer = "B. Mordukhovich", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1597/; http://www.jstor.org/stable/2000681", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", remark = "According to \cite{Thera:2016:HSH}, this paper is the first published {\em smooth variational principle}.", } @Article{Borwein:1987:UPW, author = "J. M. Borwein and P. B. Borwein", title = "Unsolved Problems: The Way of All Means", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "6", pages = "519--522", month = jun # "\slash " # jul, year = "1987", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322842", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1541118", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", URL = "http://www.jstor.org/stable/2322842", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Schoenberg:1987:APS, author = "I. J. Schoenberg and Peter B. Borwein", title = "Advanced Problems and Solutions: Solutions: 6501", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "4", pages = "390--390", month = apr, year = "1987", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323115", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Schoenberg:1985:PSA}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Ward:1987:NCF, author = "D. E. Ward and J. M. Borwein", title = "Nonsmooth Calculus in Finite Dimensions", journal = j-SIAM-J-CONTROL-OPTIM, volume = "25", number = "5", pages = "1312--1340", month = sep, year = "1987", CODEN = "SJCODC", DOI = "https://doi.org/10.1137/0325072", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "58C20 (46G05 49A52 90C48)", MRnumber = "905047, 88m:58011", MRreviewer = "A. B. N{\'e}meth", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://epubs.siam.org/sam-bin/dbq/toclist/SICON/25/5; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamjcontroloptim.bib", URL = "http://docserver.carma.newcastle.edu.au/1601/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", journalabr = "SIAM J Control Optim", onlinedate = "September 1987", } @Article{Barzilai:1988:TPS, author = "Jonathan Barzilai and Jonathan M. Borwein", title = "Two-Point Step Size Gradient Methods", journal = j-IMA-J-NUMER-ANAL, volume = "8", number = "1", pages = "141--148", year = "1988", CODEN = "IJNADH", DOI = "https://doi.org/10.1093/imanum/8.1.141", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65K05", MRnumber = "967848, 90h:65113", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", remark = "According to \cite{Thera:2016:HSH}, Google Scholar says that this paper has been cited more than 1300 times [checked: 1378 times as of 02 January 2017].", } @Article{Ben-Tal:1988:DAM, author = "A. Ben-Tal and J. M. Borwein and M. Teboulle", title = "A dual approach to multidimensional {$ L_p $} spectral estimation problems", journal = j-SIAM-J-CONTROL-OPTIM, volume = "26", number = "4", pages = "985--996", year = "1988", CODEN = "SJCODE", DOI = "https://doi.org/10.1137/0326053", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "49A55 (42A05 49D29 90C25 94A11)", MRnumber = "948654", MRreviewer = "Krzysztof C. Kiwiel", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", } @Book{Borowski:1988:DM, author = "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein", title = "Dictionary of mathematics", publisher = "Collins", address = "London, UK", pages = "xi + 659", year = "1988", ISBN = "0-00-434347-6 (paperback)", ISBN-13 = "978-0-00-434347-1 (paperback)", LCCN = "QA5", bibdate = "Mon Oct 23 07:36:34 MDT 2017", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "With contributions by J. F. Bowers.", acknowledgement = ack-nhfb, subject = "Mathematics; Dictionaries", } @TechReport{Borwein:1988:CCJ, author = "J. M. Borwein and P. B. Borwein", title = "A Cubic Counterpart of {Jacobi}'s Identity and the {AGM}", type = "Report", institution = "Department of Mathematics, Statistics and Computing Science, Dalhousie University", address = "Halifax, NS B3H 3J5, Canada", pages = "20", day = "31", month = dec, year = "1988", bibdate = "Fri Nov 11 07:03:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We produce cubic analogues of Jacobi's celebrated theta function identity and of the arithmetic--geometric mean iteration of Gauss and Legendre. The iteration in question is $ a_{n + 1} = (a_n + 2 b_n) / 3 $ and $ b_{n + 1} = \sqrt [3]{b_n((a_n^2 + a_n b_n + b_n^2) / 3)} $. The limit of this iteration is identified in terms of the hypergeometric function $_2 F_1 (1 / 3, 2 / 3; 1; \cdot)$ which supports a particularly simple cubic transformation.", acknowledgement = ack-nhfb, keywords = "$\pi$; arithmetic--geometric mean (AGM); cubic transformations; generalised elliptic functions; hypergeometric functions; mean iterations; theta functions", } @Article{Borwein:1988:CFF, author = "J. M. Borwein and P. B. Borwein", title = "On the Complexity of Familiar Functions and Numbers", journal = j-SIAM-REVIEW, volume = "30", number = "4", pages = "589--601", month = dec, year = "1988", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1030134", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "68Q25 (03D15 11Y16)", MRnumber = "967961, 89k:68061", MRreviewer = "Klaus W. Wagner", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "ACM Computing Archive CD-ROM database (1991); Compendex database; http://epubs.siam.org/toc/siread/30/4; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://docserver.carma.newcastle.edu.au/1593/; http://www.jstor.org/stable/2030559", abstract = "This paper examines low-complexity approximations to familiar functions and numbers. The intent is to suggest that it is possible to base a taxonomy of such functions and numbers on their computational complexity. A central theme is that traditional methods of approximation are often very far from optimal, while good or optimal methods are often very far from obvious. For most functions, provably optimal methods are not known; however the gap between what is known and what is possible is often small. A considerable number of open problems are posed and a number of related examples are presented.", acknowledgement = ack-nhfb, affiliationaddress = "Halifax, NS, Can", bibno = "58008", catcode = "G.1.2; F.2.1; F.1.3", classification = "921", CRclass = "G.1.2 Approximation; G.1.2 Elementary function approximation; F.2.1 Numerical Algorithms and Problems; F.1.3 Complexity Classes", descriptor = "Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation; Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems; Theory of Computation, COMPUTATION BY ABSTRACT DEVICES, Complexity Classes", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", genterm = "algorithms; theory; performance", guideno = "1988-13907", journal-URL = "http://epubs.siam.org/sirev", journalabbrev = "SIAM Rev.", journalabr = "SIAM Rev", jrldate = "Dec. 1988", keywords = "Algebraic Approximation; Approximation Theory; Computation of Digits; Familiar Functions; Low Complexity Approximation; Mathematical Techniques; Rational Approximation; Reduced Complexity Approximation", onlinedate = "December 1988", subject = "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES", } @Article{Borwein:1988:ESE, author = "D. Borwein and J. M. Borwein and R. Shail and I. J. Zucker", title = "Energy of static electron lattices", journal = j-J-PHYS-A, volume = "21", number = "7", pages = "1519--1531", month = apr, year = "1988", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/21/7/015", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "82A65 (81H99)", MRnumber = "951042", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1988JPhA...21.1519B; http://docserver.carma.newcastle.edu.au/1592/; http://stacks.iop.org/0305-4470/21/1519; http://stacks.iop.org/0305-4470/21/i=7/a=015", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/1751-8121", } @InCollection{Borwein:1988:MRT, author = "J. M. Borwein and P. B. Borwein", booktitle = "{Ramanujan} revisited ({Urbana-Champaign, Ill.}, 1987)", title = "More {Ramanujan}-type series for {$ 1 / \pi $}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "359--374", year = "1988", MRclass = "11Y60", MRnumber = "938974", MRreviewer = "Duncan A. Buell", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Borwein:1988:RP, author = "Jonathan M. Borwein and Peter B. Borwein", title = "{Ramanujan} and {Pi}", journal = j-SCI-AMER, volume = "258", number = "2", pages = "112--117", month = feb, year = "1988", CODEN = "SCAMAC", DOI = "https://doi.org/10.1038/scientificamerican0288-112", ISSN = "0036-8733 (print), 1946-7087 (electronic)", ISSN-L = "0036-8733", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/sciam1980.bib", note = "Japanese edition (April 1988), Russian edition (April 1988), German edition (May 1988). Reprinted in \cite{Borwein:1991:RP,Borwein:1996:RP,Borwein:2001:RP,Bailey:2016:PNG}.", URL = "http://docserver.carma.newcastle.edu.au/1379/; http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-112.pdf", acknowledgement = ack-nhfb, fjournal = "Scientific American", journal-URL = "http://www.nature.com/scientificamerican", xxnewdata = "1998.01.30", } @Article{Borwein:1988:VNS, author = "J. M. Borwein and D. M. Zhuang", title = "Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps", journal = j-J-MATH-ANAL-APPL, volume = "134", number = "2", pages = "441--459", year = "1988", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(88)90034-0", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "90C48 (54C60 58C20 90C25)", MRnumber = "961349", MRreviewer = "Jean-Paul Penot", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1594/; http://www.sciencedirect.com/science/article/pii/0022247X88900340", abstract = "We provide several equivalences to the regularity of closed set-valued maps around a point in general metric settings. In particular, an easy to verify approximate openness notion is shown equivalent to regularity. A simple specialization of our theorem strengthens Frankowska's novel ``open mapping principle.''", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Deutsch:1988:PSSa, author = "Emeric Deutsch and Jonathan M. Borwein and Paul Cull and G. Behrendt", title = "Problems and Solutions: Solutions of Elementary Problems: {E3159}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "6", pages = "557--558", month = jun # "\slash " # jul, year = "1988", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322769", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1541335", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1986:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1989:ACL, author = "D. Borwein and J. M. Borwein and R. Shail", title = "Analysis of certain lattice sums", journal = j-J-MATH-ANAL-APPL, volume = "143", number = "1", pages = "126--137", year = "1989", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(89)90032-2", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "82A67 (11M99)", MRnumber = "1019453", MRreviewer = "A. K. Rajagopal", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1589/; http://www.sciencedirect.com/science/article/pii/0022247X89900322", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Borwein:1989:ARM, author = "J. M. Borwein and P. B. Borwein", title = "Approximating $ \pi $ with {Ramanujan}'s modular equations", journal = j-ROCKY-MOUNTAIN-J-MATH, volume = "19", number = "1", pages = "93--102", year = "1989", CODEN = "RMJMAE", DOI = "https://doi.org/10.1216/RMJ-1989-19-1-93", ISSN = "0035-7596 (print), 1945-3795 (electronic)", ISSN-L = "0035-7596", MRclass = "11Y35 (11F11 33E05)", MRnumber = "1016163", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Constructive Function Theory---86 Conference (Edmonton, AB, 1986).", acknowledgement = ack-nhfb, fjournal = "The Rocky Mountain Journal of Mathematics", journal-URL = "http://projecteuclid.org/euclid.rmjm", } @Article{Borwein:1989:ENP, author = "Jonathan M. Borwein and Simon Fitzpatrick", title = "Existence of nearest points in {Banach} spaces", journal = j-CAN-J-MATH, volume = "41", number = "4", pages = "702--720", year = "1989", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1989-032-7", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "46B20", MRnumber = "1012624", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1582/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Borwein:1989:HC, author = "J. M. Borwein and H. M. Str{\'o}jwas", title = "The hypertangent cone", journal = j-NONLINEAR-ANAL, volume = "13", number = "2", pages = "125--144", year = "1989", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/0362-546X(89)90039-4", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "90C30 (47H99 49A52)", MRnumber = "979036", MRreviewer = "D{\cftil{o}} V{\u{a}}n Lu{\cprime}u", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1588/; http://www.sciencedirect.com/science/article/pii/0362546X89900394", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "directional derivatives and subgradients; directionally Lipschitzian functions; Discrete tangent cone formulas; epi-Lipschitzian sets; inversion theorems; mean value theorems", } @Article{Borwein:1989:LBM, author = "Jon Borwein and Simon Fitzpatrick", title = "Local boundedness of monotone operators under minimal hypotheses", journal = j-BULL-AUSTRAL-MATH-SOC, volume = "39", number = "3", pages = "439--441", year = "1989", CODEN = "ALNBAB", DOI = "https://doi.org/10.1017/S000497270000335X", ISSN = "0004-9727 (print), 1755-1633 (electronic)", ISSN-L = "0004-9727", MRclass = "47H05", MRnumber = "995141", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1590/", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Australian Mathematical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ", } @Article{Borwein:1989:LOC, author = "J. M. Borwein and M. A. H. Dempster", title = "The linear order complementarity problem", journal = j-MATH-OP-RES, volume = "14", number = "3", pages = "534--558", year = "1989", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.14.3.534", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C33 (47H99 90C48)", MRnumber = "1008428", MRreviewer = "Morgan A. Hanson", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1585/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Borwein:1989:MCK, author = "Jonathan M. Borwein and Simon Fitzpatrick", title = "{Mosco} convergence and the {Kadec} property", journal = j-PROC-AM-MATH-SOC, volume = "106", number = "3", pages = "843--851", year = "1989", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2047444", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B20 (52A05 54C60)", MRnumber = "969313", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1584/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1989:MI, author = "J. M. Borwein and P. B. Borwein", title = "On the Mean Iteration $ (a, b) \leftarrow \big (\frac {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "311--326", month = jul, year = "1989", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008364", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "30D05 (33A25)", MRnumber = "968148, 90a:30075", MRreviewer = "Carl C. Cowen", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database", URL = "http://docserver.carma.newcastle.edu.au/1586/", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Stat. and Comput. Sci., Dalhousie Univ., Halifax, NS, Canada", fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "computation; convergence of numerical methods; converging process; iterative methods; iterative process; limit; mean iteration; nontrivial identifications; quadratically; symbolic; uniformizing parameters", treatment = "T Theoretical or Mathematical", } @Article{Borwein:1989:PEN, author = "J. M. Borwein and P. B. Borwein and K. Dilcher", title = "Pi, {Euler} numbers, and asymptotic expansions", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "8", pages = "681--687", year = "1989", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324715", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "40A25 (11Y60 65B15)", MRnumber = "1019148", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1583/", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1989:RME, author = "J. M. Borwein and P. B. Borwein and D. H. Bailey", title = "{Ramanujan}, modular equations, and approximations to pi, or {How} to compute one billion digits of pi", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "201--219", month = mar, year = "1989", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2325206", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11Y60 (01A60 11F03 33A25)", MRnumber = "991866", MRreviewer = "Herman J. J. te Riele", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Reprinted in \cite{Bailey:1997:RME}.", URL = "http://docserver.carma.newcastle.edu.au/1587/; http://www.jstor.org/stable/2325206", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Beer:1990:MCR, author = "Gerald Beer and Jonathan M. Borwein", title = "{Mosco} convergence and reflexivity", journal = j-PROC-AM-MATH-SOC, volume = "109", number = "2", pages = "427--436", year = "1990", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2048005", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B10 (46B20 49J45 54B20 90C25)", MRnumber = "1012924", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1581/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1990:BRG, author = "Jonathan Borwein", title = "Book Review: {{\booktitle{Generalized Concavity}} (Mordecai Avriel, Walter E. Diewert, Siegfried Schaible, and Israel Zang)}", journal = j-SIAM-REVIEW, volume = "32", number = "4", pages = "689--690", month = dec, year = "1990", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1032140", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://epubs.siam.org/toc/siread/32/4; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "December 1990", } @Book{Borwein:1990:DRN, author = "Jonathan Borwein and Peter B. Borwein", title = "A dictionary of real numbers", publisher = pub-WADSWORTH, address = pub-WADSWORTH:adr, pages = "viii + 424", year = "1990", DOI = "https://doi.org/10.1007/978-1-4615-8510-7", ISBN = "0-534-12840-8", ISBN-13 = "978-0-534-12840-1", LCCN = "QA47.B625 1990", MRclass = "11-00 (11Y60 11Y70)", MRnumber = "1030542, 91g:11001", MRreviewer = "Jeffrey O. Shallit", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", abstract = "This dictionary was designed for researchers who have encountered various numbers computationally and want to know if these numbers have simple form. The book is structured as a reverse handbook of special function values. It lists over 100,000 eight digit real numbers in the interval (1,0) that arise as the first eight digits of special values of familiar functions.", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "Jeffrey O. Shallit", } @Article{Borwein:1990:RCM, author = "J. M. Borwein and P. B. Borwein", booktitle = "Computational methods and function theory ({Valpara}{\'\i}so, 1989)", title = "A remarkable cubic mean iteration", journal = j-LECT-NOTES-MATH, volume = "1435", pages = "27--31", year = "1990", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0087894", ISBN = "3-540-52768-0 (print), 3-540-47139-1 (e-book)", ISBN-13 = "978-3-540-52768-8 (print), 978-3-540-47139-4 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "33C05", MRnumber = "1071759 (92b:33003)", MRreviewer = "W. H. J. Fuchs", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/lnm1990.bib", URL = "http://link.springer.com/chapter/10.1007/BFb0087894/", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0087892", book-URL = "http://www.springerlink.com/content/978-3-540-47139-4", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", } @InProceedings{Borwein:1990:SDPa, author = "J. M. Borwein", editor = "Gustave Choquet and others", booktitle = "S{\'e}minaire d'initiation {\`a} l'analyze", title = "A survey of differentiability properties of convex, {Lipschitz} and lsc functions", publisher = "Publ. Math. Univ. Pierre et Marie Curie", address = "Paris, France", pages = "??--??", year = "1990", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Aug 15 15:02:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://carma.newcastle.edu.au/jon/Preprints/Books/CUP/CUPold/convsurvey.pdf", acknowledgement = ack-nhfb, pagecount = "11", } @TechReport{Borwein:1990:SSH, author = "J. M. Borwein and P. B. Borwein", title = "Strange Series and High Precision Fraud", type = "Preliminary Report", institution = "Department of Mathematics, Statistics and Computing Science, Dalhousie University", address = "Halifax, NS B3H 3J5, Canada", pages = "28", day = "4", month = sep, year = "1990", MRclass = "11A99, 11A55 (primary), 65B10 (secondary)", bibdate = "Fri Nov 11 07:05:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We present a variety of series some of which have simple evaluations. Others appear to have simple evaluations when computed to several hundred or even several million digit precision, but are in fact frauds. Many of these examples are based on series whose terms involve digit sums and the integer part function.", acknowledgement = ack-nhfb, keywords = "approximation; continued fractions; digit series; generating functions; high precision estimates; integer parts; irrationality; Mahler's series; modular transformations; transcendence", remark = "Date recorded in ambiguous form 4/9/90; entry Borwein:1988:CCJ has 31/12/88, suggesting that the first number is the day.", } @Article{Knuth:1990:PSSa, author = "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein", title = "Problems and Solutions: Solutions of Elementary Problems: {E3335}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "10", pages = "927", year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1541809", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "2-8&origin=MSN; http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Knuth:1990:PSSb, author = "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein", title = "Problems and Solutions: Solutions of Elementary Problems: {E3335}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "10", pages = "927", year = "1990", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1541809", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "2-8&origin=MSN; http://links.jstor.org/sici?sici=0002-9890(199012)97:10<927:E>2.0.CO", acknowledgement = ack-nhfb, fjournal = "The American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Knuth:1990:PSSc, author = "D. E. Knuth and Jungmin Woo and Hans Kappus and J. M. Borwein and P. B. Borwein", title = "Problems and Solutions: Solutions of Elementary Problems: {E3335}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "10", pages = "927--927", month = dec, year = "1990", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324339", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Rudin:1989:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Book{Borowski:1991:HDM, author = "E. J. Borowski and J. M. Borwein", title = "The {HarperCollins} dictionary of mathematics", publisher = "HarperPerennial", address = "New York, NY, USA", pages = "xii + 659", year = "1991", ISBN = "0-06-461019-5, 0-00-434347-6 (paperback)", ISBN-13 = "978-0-06-461019-3, 978-0-00-434347-1 (paperback)", MRclass = "00A20", MRnumber = "1210061", MRreviewer = "F. J. Papp", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "With the assistance of J. F. Bowers, A. Robertson and M. McQuillan, Revised reprint of the 1988 original \cite{Borowski:1988:DM}.", URL = "http://docserver.carma.newcastle.edu.au/1738/", acknowledgement = ack-nhfb, remark = "Translations: Chinese (1995), Indonesian (Erlanga Penerbit, 1995), Italian (Gremese Editore) 1995, Arabic (Academia International) 1991", } @Article{Borwein:1991:CBE, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Convergence of best entropy estimates", journal = j-SIAM-J-OPT, volume = "1", number = "2", pages = "191--205", year = "1991", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/0801014", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "41A46 (28A20 28D20)", MRnumber = "1098426", MRreviewer = "Tiberiu Constantinescu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1576/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:1991:CCJ, author = "J. M. Borwein and P. B. Borwein", title = "A cubic counterpart of {Jacobi}'s identity and the {AGM}", journal = j-TRANS-AM-MATH-SOC, volume = "323", number = "2", pages = "691--701", month = feb, year = "1991", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2001551", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "33C75 (11F11 11Y60 33C05)", MRnumber = "1010408", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1578/; http://www.jstor.org/stable/2001551", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1991:CMP, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "On the convergence of moment problems", journal = j-TRANS-AM-MATH-SOC, volume = "325", number = "1", pages = "249--271", month = may, year = "1991", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2001670", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "44A60 (90C90)", MRnumber = "1008695", MRreviewer = "Tiberiu Constantinescu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1579/; http://www.jstor.org/stable/2001670", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @InCollection{Borwein:1991:DPC, author = "Jonathan M. Borwein", booktitle = "S{\'e}minaire d'Initiation {\`a} l'Analyse", title = "Differentiability properties of convex, of {Lipschitz}, and of semicontinuous mappings on {Banach} spaces", volume = "104", number = "19", publisher = "Universit{\'e} de Paris VI", address = "Paris, France", pages = "1--11", year = "1991", MRclass = "46G05 (26E15 46B20 46N10 49J50 58C20)", MRnumber = "1217320", MRreviewer = "Saheb Dayal", bibdate = "Fri Oct 13 14:59:36 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Publ. Math. Univ. Pierre et Marie Curie", acknowledgement = ack-nhfb, } @Article{Borwein:1991:DRE, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Duality relationships for entropy-like minimization problems", journal = j-SIAM-J-CONTROL-OPTIM, volume = "29", number = "2", pages = "325--338", year = "1991", CODEN = "SJCODE", DOI = "https://doi.org/10.1137/0329017", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "49N15 (90C29 90C48)", MRnumber = "1092730", MRreviewer = "C. P. Ortlieb", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1577/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", } @Article{Borwein:1991:FPI, author = "David Borwein and Jonathan Borwein", title = "Fixed point iterations for real functions", journal = j-J-MATH-ANAL-APPL, volume = "157", number = "1", pages = "112--126", year = "1991", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/0022-247X(91)90139-Q", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "65H05 (39B12)", MRnumber = "1109446", MRreviewer = "Joe Thrash", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/0022247X9190139Q", abstract = "We give proofs of general results on the computation of fixed points of a continuous function or a Lipschitz function on the real line. We also show how completely these results can fail to hold in spaces of more than one dimension.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @InCollection{Borwein:1991:MCS, author = "J. M. Borwein", booktitle = "Fixed point theory and applications ({Marseille}, 1989)", title = "Minimal {CUSCOS} and subgradients of {Lipschitz} functions", volume = "252", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "57--81", year = "1991", MRclass = "46G05 (47H04 49J52)", MRnumber = "1122818", MRreviewer = "Doug Ward", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, } @Article{Borwein:1991:MCU, author = "Jonathan Borwein and Simon Fitzpatrick and Petar Kenderov", title = "Minimal convex uscos and monotone operators on small sets", journal = j-CAN-J-MATH, volume = "43", number = "3", pages = "461--476", year = "1991", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1991-028-5", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "46G05 (47H05 54C99)", MRnumber = "1118004", MRreviewer = "Doug Ward", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1573/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Borwein:1991:NR, author = "Jonathan M. Borwein and G. de Barra", title = "Nested radicals", journal = j-AMER-MATH-MONTHLY, volume = "98", number = "8", pages = "735--739", year = "1991", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324426", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11A99 (11Y55 39A10 40A05)", MRnumber = "1130684", MRreviewer = "Heinrich Rolletschek", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1580/", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Borwein:1991:PCF, author = "Jonathan M. Borwein and Adrian S. Lewis", editor = "J-B. Baillon and M. Th{\'e}ra", booktitle = "Fixed point theory and applications ({Marseille}, 1989)", title = "Practical conditions for {Fenchel} duality in infinite dimensions", volume = "252", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "83--89", year = "1991", MRclass = "49N15 (46G99 90C45 90C48)", MRnumber = "1122819", MRreviewer = "Blagun Kalchev", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Pitman Lecture Notes in Mathematics", acknowledgement = ack-nhfb, xxseries = "Pitman Res. Notes Math. Ser.", } @InCollection{Borwein:1991:RP, author = "Jonathan M. Borwein and Peter B. Borwein", title = "{Ramanujan} and {Pi}", crossref = "Ferris:1991:WTP", pages = "647--659", year = "1991", bibdate = "Fri Aug 12 15:11:12 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1379/", acknowledgement = ack-nhfb, } @Article{Borwein:1991:SEC, author = "J. M. Borwein and D. M. Zhuang", title = "Super efficiency in convex vector optimization", journal = j-Z-OPER-RES, volume = "35", number = "3", pages = "175--184", year = "1991", CODEN = "ZMMRFZ", DOI = "https://doi.org/10.1007/BF01415905", ISSN = "0340-9422", MRclass = "90C29", MRnumber = "1114290", MRreviewer = "Emil Iwanow", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/article/10.1007/BF01415905", acknowledgement = ack-nhfb, ajournal = "Z. Oper. Res.", fjournal = "Zeitschrift f{\"u}r Operations Research. Mathematical Methods of Operations Research", journal-URL = "http://link.springer.com/journal/186", } @Article{Borwein:1991:SGB, author = "J. M. Borwein and P. B. Borwein", title = "A singular genius: [book review] {{\booktitle{The Man Who Knew Infinity. A Life of the Indian Genius Ramanujan}}. Robert Kanigel, Scribner, New York, 1991. x + 438 pp. + plates, \$27.95}", journal = j-SCIENCE, volume = "253", number = "5017", pages = "334--335", day = "19", month = jul, year = "1991", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.253.5017.334", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Aug 10 18:35:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2879085; http://www.ncbi.nlm.nih.gov/pubmed/17794700", acknowledgement = ack-nhfb, fjournal = "Science (New York, NY)", journal-URL = "http://www.sciencemag.org/archive/", onlinedate = "19 July 1991", publisherinfo = "17794700 ER", } @Article{Borwein:1992:ASW, author = "Jonathan Borwein and Shi Tuo Lou", title = "Asymptotics of a sequence of {Witt} vectors", journal = j-J-APPROX-THEORY, volume = "69", number = "3", pages = "326--337", year = "1992", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/0021-9045(92)90006-A", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "05A16 (05E05 05E10 13K05)", MRnumber = "1164995", MRreviewer = "Jiang Zeng", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1565/; http://www.sciencedirect.com/science/article/pii/002190459290006A", abstract = "We provide asymptotic and order information about the Witt vectors and integers dn appearing in \prod n\le 111 + dn(tnn|)=(1-t)et.", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @Article{Borwein:1992:BRS, author = "Jonathan Borwein", title = "Book Review: {{\booktitle{Set-valued analysis}}, J-P. Aubin and H. Frankowska}", journal = j-BULL-AMS-N-S, volume = "26", number = "1", pages = "157--160", year = "1992", CODEN = "BAMOAD", DOI = "https://doi.org/10.1090/S0273-0979-1992-00246-X", ISSN = "0273-0979 (print), 1088-9485 (electronic)", ISSN-L = "0273-0979", MRnumber = "1567970", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Society. Bulletin. New Series", journal-URL = "http://www.ams.org/journals/bull/all_issues.html", } @Article{Borwein:1992:DMF, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Decomposition of multivariate functions", journal = j-CAN-J-MATH, volume = "44", number = "3", pages = "463--482", year = "1992", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1992-030-9", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "54C05 (05C38 08A45 22C05 26B40 28A20)", MRnumber = "1176365", MRreviewer = "Douglass L. Grant", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1569/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @InCollection{Borwein:1992:DPC, author = "J. Borwein", booktitle = "Optimization and nonlinear analysis ({Haifa}, 1990)", title = "Differentiability properties of convex, of {Lipschitz}, and of semicontinuous mappings on {Banach} spaces", volume = "244", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "39--52", year = "1992", MRclass = "49J50 (46B20 46G05 47H99)", MRnumber = "1184630", MRreviewer = "Julian Revalski", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, } @Article{Borwein:1992:FEG, author = "J. M. Borwein and I. J. Zucker", title = "Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind", journal = j-IMA-J-NUMER-ANAL, volume = "12", number = "4", pages = "519--526", year = "1992", CODEN = "IJNADN", DOI = "https://doi.org/10.1093/imanum/12.4.519", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65D20", MRnumber = "1186733", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Borwein:1992:KMI, author = "Jonathan Borwein and Simeon Reich and Itai Shafrir", title = "{Krasnosel'ski--Mann} iterations in normed spaces", journal = j-CAN-MATH-BULL, volume = "35", number = "1", pages = "21--28", year = "1992", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1992-003-0", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "47H09 (47H10 47H17)", MRnumber = "1157459", MRreviewer = "Gregory B. Passty", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:1992:MHP, author = "Jonathan M. Borwein and Mark A. Limber", title = "{Maple} as a High Precision Calculator", journal = j-MAPLE-TECH-NEWS, volume = "0", number = "8", pages = "39--44", month = "Fall", year = "1992", ISSN = "1061-5733", ISSN-L = "1061-5733", bibdate = "Fri May 09 22:33:19 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-tech.bib", URL = "http://www.can.nl/Systems_and_Packages/Per_Purpose/General/Maple/mtn/mtn8.html", acknowledgement = ack-nhfb, fjournal = "Maple technical newsletter", journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html", } @Article{Borwein:1992:PFCa, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Partially finite convex programming. {I}. {Quasi} relative interiors and duality theory", journal = j-MATH-PROG, volume = "57", number = "1--3", pages = "15--48", year = "1992", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01581072", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C48 (49J15 65K05 90C25)", MRnumber = "1167406", MRreviewer = "M. Teboulle", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1571/; http://link.springer.com/article/10.1007/BF01581072", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Borwein:1992:PFCb, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Partially finite convex programming, {Part II}: Explicit lattice models", journal = j-MATH-PROG, volume = "57", number = "1--3", pages = "49--83", year = "1992", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01581073", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C48 (49N15 65K05 90C25)", MRnumber = "1167407", MRreviewer = "M. Teboulle", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1572/; http://link.springer.com/article/10.1007/BF01581073", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @InProceedings{Borwein:1992:SDP, author = "J. M. Borwein", editor = "A. Ioffe and M. Marcus and S. Reich", booktitle = "Optimization and Nonlinear Analysis: Proceedings of the {Technion} Special Semester on Nonlinear Analysis ({Spring 1990})", title = "A survey of differentiability properties of convex, {Lipschitz} and lsc functions", publisher = "Longman", address = "Essex, UK", pages = "39--52", year = "1992", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Aug 15 14:55:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, } @InCollection{Borwein:1992:SEC, author = "J. M. Borwein and A. {Ben Tal} and M. Teboulle", booktitle = "Systems and Management Science by extremal methods: research honoring {Abraham Charnes} at age 70", title = "Spectral estimation via convex programming", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "275--290", year = "1992", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Aug 15 14:57:23 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Borwein:1992:SOC, author = "Jonathan Borwein and Peter B. Borwein", title = "Some Observations on Computer Aided Analysis", journal = j-NAMS, volume = "39", number = "8", pages = "825--829", year = "1992", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", remark = "No journal online archives before 1995.", } @Article{Borwein:1992:SSH, author = "J. M. Borwein and P. B. Borwein", title = "Strange Series and High Precision Fraud", journal = j-AMER-MATH-MONTHLY, volume = "99", number = "7", pages = "622--640", month = aug # "\slash " # sep, year = "1992", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324993", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "40-01 (40A05 40A25)", MRnumber = "1176589, 93f:40001", MRreviewer = "John A. Fridy", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1992:STS, author = "J. M. Borwein and M. Th{\'e}ra", title = "Sandwich theorems for semicontinuous operators", journal = j-CAN-MATH-BULL, volume = "35", number = "4", pages = "463--474", year = "1992", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1992-061-7", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "54C08 (46A99 54C60 54C65 54F05)", MRnumber = "1191505", MRreviewer = "P. Maritz", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Cook:1992:PSS, author = "Matthew Cook and Walther Janous and Marcin E. Kuczma and David Borwein", title = "Problems and Solutions: Solutions of Elementary Problems: {E3388}", journal = j-AMER-MATH-MONTHLY, volume = "99", number = "1", pages = "69--70", month = jan, year = "1992", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324561", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", note = "See also \cite{Sturm:1990:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Bauschke:1993:CNA, author = "H. H. Bauschke and J. M. Borwein", title = "On the convergence of {von Neumann}'s alternating projection algorithm for two sets", journal = j-SET-VALUED-ANAL, volume = "1", number = "2", pages = "185--212", year = "1993", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/BF01027691", ISSN = "0927-6947 (print), 1572-932X (electronic)", ISSN-L = "0927-6947", MRclass = "65J05 (41A65 47H17 65K10)", MRnumber = "1239403", MRreviewer = "F. Deutsch", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1555/; http://link.springer.com/article/10.1007/BF01027691", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Beer:1993:MSC, author = "Gerald Beer and Jonathan M. Borwein", title = "{Mosco} and Slice Convergence of Level Sets and Graphs of Linear Functionals", journal = j-J-MATH-ANAL-APPL, volume = "175", number = "1", pages = "53--67", year = "1993", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1993.1151", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "46B99 (46N10 49J45 54A20)", MRnumber = "1216744", MRreviewer = "Constantin Z{\u{a}}linescu", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1562/; http://www.sciencedirect.com/science/article/pii/S0022247X83711510", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Unpublished{Borwein:1993:ASS, author = "J. M. Borwein", title = "{Asplund} spaces are sequentially reflexive", year = "1993", bibdate = "Fri Aug 12 14:17:01 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Accepted for publication in the Canadian Journal of Mathematics, but withdrawn and merged with another paper. Jon Borwein recorded that as publication number 121, but because the article numbers changed with each update of his CV, that number has long been incorrect.", acknowledgement = ack-nhfb, remark = "Research Report CORR 91-14.", } @Article{Borwein:1993:CDS, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Convergence of decreasing sequences of convex sets in nonreflexive {Banach} spaces", journal = j-SET-VALUED-ANAL, volume = "1", number = "4", pages = "355--363", year = "1993", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/BF01027825", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "49J45 (46N10)", MRnumber = "1267202", MRreviewer = "Roberto Lucchetti", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1551/", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Unpublished{Borwein:1993:CEU, author = "J. M. Borwein and R. K. Goodrich and M. A. Limber", title = "A comparison of entropies in the underdetermined moment problem", month = may, year = "1993", bibdate = "Tue Aug 16 10:06:18 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Borwein:1993:CFH, author = "J. M. Borwein and M. Fabi{\'a}n", title = "On convex functions having points of {G{\^a}teaux} differentiability which are not points of {Fr}{\'e}chet differentiability", journal = j-CAN-J-MATH, volume = "45", number = "6", pages = "1121--1134", year = "1993", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1993-062-8", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "46B20 (46B03)", MRnumber = "1247537", MRreviewer = "Gilles Godefroy", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1552/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Borwein:1993:CNT, author = "J. M. Borwein and P. B. Borwein", title = "Class number three {Ramanujan} type series for $ 1 / \pi $", journal = j-J-COMPUT-APPL-MATH, volume = "46", number = "1--2", pages = "281--290", day = "14", month = jun, year = "1993", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(93)90302-R", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "11Y60 (11R11)", MRnumber = "1222488", MRreviewer = "Andrew Granville", bibdate = "Sat Feb 25 12:20:57 MST 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib", note = "Computational complex analysis.", URL = "http://docserver.carma.newcastle.edu.au/1560/; http://www.sciencedirect.com/science/article/pii/037704279390302R", abstract = "There is a class of remarkable series for $ 1 / \pi $ of the form $ \sqrt {-C^3} / \pi = \sum_{n = 0}^\infty \frac {A + n B}{C^{3 n}} \frac {(6n)!}{(3n)!(n!)^3} $ where $A$, $B$, $C$ are certain algebraic numbers. These were first examined by Ramanujan. These examples arise by computing singular invariants for j and the constants involved will have degree equal to the class number of the associated imaginary quadratic field. Our intention is compute all such class number three examples. The largest such example, with discriminant $ - 907$, adds $ 37$ additional digit accuracy per term. A class number four example with discriminant $ 1555$ gives $ 50$ digits per term.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", journal-URL = "http://www.sciencedirect.com/science/journal/03770427/", keywords = "class number; pi; Ramanujan; series", } @Article{Borwein:1993:DKK, author = "J. M. Borwein and J. Vanderwerff", title = "Dual {Kadec--Klee} norms and the relationships between {Wijsman}, slice and {Mosco} convergence", journal = "ArXiv Mathematics e-prints", month = feb, year = "1993", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1993math......2212B", abstract = "In this paper, we completely settle several of the open questions regarding the relationships between the three most fundamental forms of set convergence. In particular, it is shown that Wijsman and slice convergence coincide precisely when the weak star and norm topologies agree on the dual sphere. Consequently, a weakly compactly generated Banach space admits a dense set of norms for which Wijsman and slice convergence coincide if and only if it is an Asplund space. We also show that Wijsman convergence implies Mosco convergence precisely when the weak star and Mackey topologies coincide on the dual sphere. A corollary of these results is that given a fixed norm on an Asplund space, Wijsman and slice convergence coincide if and only if Wijsman convergence implies Mosco convergence.", acknowledgement = ack-nhfb, eprint = "math/9302212", keywords = "Mathematics - Functional Analysis, 46B", } @Article{Borwein:1993:FME, author = "Jonathan M. Borwein", title = "On the failure of maximum entropy reconstruction for {Fredholm} equations and other infinite systems", journal = j-MATH-PROG, volume = "61", number = "2, Ser. A", pages = "251--261", year = "1993", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/BF01582150", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "94A12 (45B05 47N99 90C48)", MRnumber = "1240460", MRreviewer = "Henry Wolkowicz", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1559/", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming", journal-URL = "http://link.springer.com/journal/10107", } @Article{Borwein:1993:GFI, author = "J. M. Borwein and P. B. Borwein", title = "On the generating function of the integer part: $ [n \alpha + \gamma] $", journal = j-J-NUMBER-THEORY, volume = "43", number = "3", pages = "293--318", year = "1993", CODEN = "JNUTA9", DOI = "https://doi.org/10.1006/jnth.1993.1023", ISSN = "0022-314x (print), 1096-1658 (electronic)", ISSN-L = "0022-314X", MRclass = "11J70 (11J91)", MRnumber = "1212686", MRreviewer = "A. J. van der Poorten", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1564/; http://www.sciencedirect.com/science/article/pii/S0022314X83710231", abstract = "We show that [long displayed formula]. Here $ p_n $ and $ q_n $ are the numerators and denominators of the convergents of the continued fraction expansion of $ \alpha $ and $ t^n $ and $ s^n $ are particular algorithmically generated sequences of best approximates for the non-homogeneous Diophantine approximation problem of minimizing $ |n \alpha + \gamma - m| $. This generalizes results of B{\"o}hmer and Mahler, who considered the special case where $ \gamma = 0 $. This representation allows us to easily derive various transcendence results. For example, $ \sum^\infty_{n = 1} [n e + 12] / (2 n) $ is a Liouville number. Indeed the first series is Liouville for rational $z$, $ w \subset [ - 1, 1]$ with $ |z w| \neq 1$ provided $ \alpha $ has unbounded continued fraction expansion. A second application, which generalizes a theorem originally due to Lord Raleigh, is to give a new proof of a theorem of Fraenkel, namely $ [n \alpha + \gamma]^\infty_{n = 1}$ and $ [n \alpha \prime + \gamma \prime]^\infty_{n = 1}$ partition the non-negative integers if and only if $ 1 / \alpha + 1 / \alpha \prime = 1$ and $ \gamma / \alpha + \gamma \prime / \alpha \prime = 0$ (provided some sign and integer independence conditions are placed on $ \alpha $, $ \beta $, $ \gamma $, $ \gamma \prime $). The analysis which leads to the results is quite delicate and rests heavily on a functional equation for $G$. For this a natural generalization of the simple continued fraction to Kronecker's forms $ |n \alpha + \gamma - m|$ is required.", acknowledgement = ack-nhfb, fjournal = "Journal of Number Theory", journal-URL = "http://www.sciencedirect.com/science/journal/0022314X", } @Article{Borwein:1993:GSO, author = "J. M. Borwein and M. Fabi{\'a}n", title = "On generic second-order {G{\^a}teaux} differentiability", journal = j-NONLINEAR-ANAL, volume = "20", number = "12", pages = "1373--1382", year = "1993", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/0362-546X(93)90166-P", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "46G05 (26E15 49J50 58C20)", MRnumber = "1225345", MRreviewer = "Marcin Studniarski", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1563/; http://www.sciencedirect.com/science/article/pii/0362546X9390166P", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "residual space; second-order difference quotient; Separable space; twice G{\^a}teaux differentiability", remark = "Research Report CORR 91-18.", } @Article{Borwein:1993:HAA, author = "J. Borwein and P. Borwein and F. Garvan", title = "Hypergeometric analogues of the arithmetic--geometric mean iteration", journal = j-CONST-APPROX, volume = "9", number = "4", pages = "509--523", year = "1993", DOI = "https://doi.org/10.1007/BF01204654", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "33C05", MRnumber = "1237931", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1556/; http://link.springer.com/article/10.1007/BF01204654", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", } @Article{Borwein:1993:ICM, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Inequalities for Compound Mean Iterations with Logarithmic Asymptotes", journal = j-J-MATH-ANAL-APPL, volume = "177", number = "2", pages = "572--582", year = "1993", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1993.1278", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "33B99", MRnumber = "1231502", MRreviewer = "P. Anandani", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1553/; http://www.sciencedirect.com/science/article/pii/S0022247X83712783", abstract = "We consider the compound means arising as limits from the arithmetic--geometric mean iteration and related iterations. Each of these iterations possesses a logarithmic asymptote. We show that these limit means satisfy very precise inequalities. These can be deduced in a quite uniform fashion from a `comparison lemma' for compound means.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Borwein:1993:LLFa, author = "J. M. Borwein and M. Fabian and J. Vanderwerff", title = "Locally {Lipschitz} Functions and Bornological Derivatives", journal = "ArXiv Mathematics e-prints", month = feb, year = "1993", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1993math......2211B; http://docserver.carma.newcastle.edu.au/69/", abstract = "We study the relationships between G{\^a}teaux, weak Hadamard and Frechet differentiability and their bornologies for Lipschitz and for convex functions. In particular, Frechet and weak Hadamard differentiability coincide for all Lipschitz functions if and only if the space is reflexive (an earlier paper of the first two authors shows that these two notions of differentiability coincide for continuous convex functions if and only if the space does not contain a copy of $ \ell_1$). We also examine when G{\^a}teaux and weak Hadamard differentiability coincide for continuous convex functions. For instance, spaces with the Dunford--Pettis (Schur) property can be characterized by the coincidence of G{\^a}teaux and weak Hadamard (Frechet) differentiability for dual norms.", acknowledgement = ack-nhfb, eprint = "math/9302211", keywords = "Mathematics - Functional Analysis, 46B", } @TechReport{Borwein:1993:LLFb, author = "Jonathan M. Borwein and Marian Fabian and Jon Vanderwerff", title = "Locally {Lipschitz} functions and bornological derivatives", type = "CECM Research Report", number = "93:012", institution = inst-CECM, address = inst-CECM:adr, month = nov, year = "1993", bibdate = "Tue Aug 16 10:06:43 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/69/", acknowledgement = ack-nhfb, } @Article{Borwein:1993:MMB, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Mathematical Malaises: Book Review: {{\booktitle{Pi in the sky: counting, thinking and being}}, John D. Barrow. Clarendon (Oxford University Press), New York, 1992. xii, 317 pp., illus. \$25}", journal = j-SCIENCE, volume = "259", number = "5103", pages = "1928--1930", day = "26", month = mar, year = "1993", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.259.5103.1928", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Sat Sep 03 09:11:44 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ncbi.nlm.nih.gov/pubmed/17836254", acknowledgement = ack-nhfb, fjournal = "Science (New York, N.Y.)", journal-URL = "http://www.sciencemag.org/archive/", report-number = "Borwein, Jonathan/A-6082-2009", } @Article{Borwein:1993:PFP, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Partially-finite programming in {$ L_1 $} and the existence of maximum entropy estimates", journal = j-SIAM-J-OPT, volume = "3", number = "2", pages = "248--267", year = "1993", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/0803012", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C48 (49N15 65K05)", MRnumber = "1215444", MRreviewer = "M. Teboulle", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1558/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:1993:PSPa, author = "Jonathan M. Borwein", title = "Problems and Solutions: Problems: 10281", journal = j-AMER-MATH-MONTHLY, volume = "100", number = "1", pages = "76--77", month = jan, year = "1993", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324828", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Borwein:1993:PSPb, author = "David Borwein and Jonathan Borwein", title = "Problems and Solutions: Problems: 10335", journal = j-AMER-MATH-MONTHLY, volume = "100", number = "8", pages = "796--798", month = oct, year = "1993", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324793", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @InProceedings{Borwein:1993:SCR, author = "Jonathan M. Borwein and Adrian S. Lewis", editor = "A. Mohammad-Djafari and G. Demoments", booktitle = "Maximum entropy and {Bayesian} methods ({Paris}, 1992)", title = "A Survey of Convergence Results for Maximum Entropy Methods", volume = "53", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "39--48", year = "1993", DOI = "https://doi.org/10.1007/978-94-017-2217-9_5", MRclass = "49J45 (41A30 42A10)", MRnumber = "1269789", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Fund. Theories Phys.", URL = "http://link.springer.com/chapter/10.1007/978-94-017-2217-9_5", acknowledgement = ack-nhfb, remark = "Research Report CORR 92-32.", } @Article{Borwein:1993:SEV, author = "J. M. Borwein and D. Zhuang", title = "Super efficiency in vector optimization", journal = j-TRANS-AM-MATH-SOC, volume = "338", number = "1", pages = "105--122", year = "1993", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2154446", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "90C29 (52A41)", MRnumber = "1098432", MRreviewer = "Bernard Lemaire", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1993:WHS, author = "Jonathan M. Borwein and Simon Fitzpatrick", title = "A weak {Hadamard} smooth renorming of {$ L_1 (\Omega, \mu) $}", journal = j-CAN-MATH-BULL, volume = "36", number = "4", pages = "407--413", year = "1993", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1993-055-5", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "46B25 (46B03 46B20 46E30)", MRnumber = "1245313", MRreviewer = "W. A. J. Luxemburg", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://cms.math.ca/10.4153/CMB-1993-055-5; http://docserver.carma.newcastle.edu.au/1554/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Byerly:1993:PSP, author = "Robert E. Byerly and Murray S. Klamkin and A. Liu and Stephen M. {Gagola, Jr.} and L. E. Mattics and Raphael M. Robinson and M. Al-Ahmar and Donald E. Knuth and Jonathan M. Borwein", title = "Problems and Solutions: Problems: 10274--10281", journal = j-AMER-MATH-MONTHLY, volume = "100", number = "1", pages = "75--77", year = "1993", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324823", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1542259", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Hirschhorn:1993:CAJ, author = "Michael Hirschhorn and Frank Garvan and Jon Borwein", title = "Cubic analogues of the {Jacobian} theta function {$ \theta (z, q) $}", journal = j-CAN-J-MATH, volume = "45", number = "4", pages = "673--694", month = "????", year = "1993", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1993-038-2", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "33D10 (11F27)", MRnumber = "1227653", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cjm/v45/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canjmath1990.bib", URL = "http://docserver.carma.newcastle.edu.au/1557/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Richter:1993:PSP, author = "R. Bruce Richter and Josef Siran and Carl Pomerance and Kiran S. Kedlaya and Michael Golomb and John Sarli and David Borwein and Jonathan Borwein and Ignacy I. Kotlarski and Horst Alzer", title = "Problems and Solutions: Problems: 10330--10337", journal = j-AMER-MATH-MONTHLY, volume = "100", number = "8", pages = "796--798", year = "1993", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324792", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1542408", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Bailey:1994:EEE, author = "David H. Bailey and Jonathan M. Borwein and Roland Girgensohn", title = "Experimental evaluation of {Euler} sums", journal = j-EXP-MATH, volume = "3", number = "1", pages = "17--30", year = "1994", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.1994.10504573", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60", MRnumber = "1302815", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/60/; http://projecteuclid.org/euclid.em/1062621000", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Bauschke:1994:DAP, author = "H. H. Bauschke and J. M. Borwein", title = "{Dykstra}'s alternating projection algorithm for two sets", journal = j-J-APPROX-THEORY, volume = "79", number = "3", pages = "418--443", year = "1994", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1006/jath.1994.1136", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "41A65 (46N10 47N10)", MRnumber = "1305442", MRreviewer = "F. Deutsch", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1543/; http://www.sciencedirect.com/science/article/pii/S0021904584711361", abstract = "We analyze Dykstra's algorithm for two arbitrary closed convex sets in a Hilbert space. Our technique also applies to von Neumann's algorithm. Various convergence results follow. An example allows one to compare qualitative and quantitative behaviour of the two algorithms. We discuss the case of finitely many sets.", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @Article{Borwein:1994:CMI, author = "Jonathan Borwein", title = "A convergent mean iteration: a proof that {$ x_n \coloneq M(x_{n - 1}, x_{n - 2}, \cdots, x_{n - k}) $} converges", journal = j-AEQUATIONES-MATHEMATICAE, volume = "47", number = "1", pages = "115--118", year = "1994", CODEN = "AEMABN", DOI = "https://doi.org/10.1007/BF01838145", ISSN = "0001-9054 (print), 1420-8903 (electronic)", ISSN-L = "0001-9054", MRclass = "39B12", MRnumber = "1251136", MRreviewer = "Shigeru Haruki", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1541/", acknowledgement = ack-nhfb, fjournal = "Aequationes Mathematicae", journal-URL = "http://link.springer.com/journal/10", } @Article{Borwein:1994:DKK, author = "Jon Borwein and Jon Vanderwerff", title = "Dual {Kadec--Klee} norms and the relationships between {Wijsman}, slice, and {Mosco} convergence", journal = j-MICH-MATH-J, volume = "41", number = "2", pages = "371--387", year = "1994", CODEN = "MIMJA5", DOI = "https://doi.org/10.1307/mmj/1029005003", ISSN = "0026-2285 (print), 1945-2365 (electronic)", ISSN-L = "0026-2285", MRclass = "46B10 (46B20 46N10 49J45 54B20)", MRnumber = "1278442", MRreviewer = "Simon Fitzpatrick", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The Michigan Mathematical Journal", xxtitle = "{Mosco}, {Wijsman} and slice convergence in nonreflexive {Banach} spaces", } @Article{Borwein:1994:ECFa, author = "Jon Borwein and Simon Fitzpatrick and Jon Vanderwerff", title = "Examples of convex functions and classifications of normed spaces", journal = j-J-CONVEX-ANAL, volume = "1", number = "1", pages = "61--73", year = "1994", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "46B20 (26B25 46B10 46N10 52A41)", MRnumber = "1326942", MRreviewer = "Roland Durier", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/64/; http://www.heldermann-verlag.de/jca/jca01/jca01004.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:1994:EML, author = "Jonathan M. Borwein and Adrian S. Lewis and Mark A. Limber", title = "Entropy Minimization with Lattice Bounds", journal = j-J-APPROX-THEORY, volume = "79", number = "1", pages = "1--16", year = "1994", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1006/jath.1994.1110", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "41A46 (41A29 90C48)", MRnumber = "1294317", MRreviewer = "Dominikus Noll", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1545/; http://www.sciencedirect.com/science/article/pii/S0021904584711105", abstract = "We characterize solutions to the problem of minimizing a convex integral objective function subject to a finite number of linear constraints and requiring that the feasible functions lie in a strip $ [\alpha, \beta] $ where $ \alpha $ and $ \beta $ are extended real valued measurable functions. We use the duality theory of J. M. Borwein and A. S. Lewis (Math. Programming, Series \{B57\} (1992), 15-48, 49-84) to show that the solutions are of the usual form, but truncated where they leave the strip.", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @Article{Borwein:1994:EMPa, author = "Jonathan M. Borwein and Adrian S. Lewis and Roger D. Nussbaum", title = "Entropy Minimization, {$ D A D $} Problems, and Doubly Stochastic Kernels", journal = j-J-FUNCT-ANAL, volume = "123", number = "2", pages = "264--307", year = "1994", CODEN = "JFUAAW", DOI = "https://doi.org/10.1006/jfan.1994.1089", ISSN = "0022-1236 (print), 1096-0783 (electronic)", ISSN-L = "0022-1236", MRclass = "47N10 (47B99 47H15 49N15 90C30)", MRnumber = "1283029", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1546/; http://www.sciencedirect.com/science/article/pii/S0022123684710895", abstract = "The classical $ D A D $ problem asks, for a square matrix $A$ with nonnegative entries, when it is possible to find positive diagonal matrices $ D_1$ and $ D_2$ with $ D_1 A D_2$ doubly stochastic. We consider various continuous and measurable generalizations of this problem. Through a fusion of variational and fixed point techniques we obtain strong analogues of the classical results. Our extensions appear inaccessible by either technique separately.", acknowledgement = ack-nhfb, fjournal = "Journal of Functional Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/00221236", } @Article{Borwein:1994:FAS, author = "Jon Borwein and Jon Vanderwerff", title = "Further arguments for slice convergence in nonreflexive spaces", journal = j-SET-VALUED-ANAL, volume = "2", number = "4", pages = "529--544", year = "1994", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/BF01033070", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "49J45 (46N10 54B20)", MRnumber = "1308483", MRreviewer = "Gerald Beer", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/62/", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Borwein:1994:FED, author = "Jonathan M. Borwein and Roland Girgensohn", title = "Functional equations and distribution functions", journal = "Results Math.", volume = "26", number = "3--4", pages = "229--237", year = "1994", DOI = "https://doi.org/10.1007/BF03323043", ISSN = "0378-6218", ISSN-L = "0378-6218", MRclass = "39B22 (39B62 60E05 62E15)", MRnumber = "1300602", MRreviewer = "K. Lajk{\'o}", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "For Janos Aczel's 70th birthday.", URL = "http://docserver.carma.newcastle.edu.au/90/", acknowledgement = ack-nhfb, fjournal = "Results in Mathematics. Resultate der Mathematik", } @Article{Borwein:1994:NRS, author = "Jonathan M. Borwein and Mari{\'a}n Fabi{\'a}n", title = "A note on regularity of sets and of distance functions in {Banach} space", journal = j-J-MATH-ANAL-APPL, volume = "182", number = "2", pages = "566--570", year = "1994", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1994.1104", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "49J52", MRnumber = "1269478", MRreviewer = "Doug Ward", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0022247X84711048", abstract = "We show that in every infinite dimensional Banach space there is a compact set C and x in C such that C is regular at x (in the sense of nonsmooth analysis) but such that the associated distance function dC is not regular at x and neither is -dC.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Borwein:1994:SCM, author = "J. M. Borwein and P. B. Borwein and F. G. Garvan", title = "Some cubic modular identities of {Ramanujan}", journal = j-TRANS-AM-MATH-SOC, volume = "343", number = "1", pages = "35--47", month = may, year = "1994", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2154520", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "11B65 (11F27 33D10)", MRnumber = "1243610", MRreviewer = "George E. Andrews", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1547/; http://www.jstor.org/stable/2154520", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1994:SOD, author = "Jonathan M. Borwein and Dominikus Noll", title = "Second order differentiability of convex functions in {Banach} spaces", journal = j-TRANS-AM-MATH-SOC, volume = "342", number = "1", pages = "43--81", month = mar, year = "1994", CODEN = "TAMTAM", DOI = "https://doi.org/10.2307/2154684", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "46G05 (26E15)", MRnumber = "1145959", MRreviewer = "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1549/; http://www.jstor.org/stable/2154684", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1994:SRO, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Strong rotundity and optimization", journal = j-SIAM-J-OPT, volume = "4", number = "1", pages = "146--158", year = "1994", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/0804008", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "49K27 (90C48)", MRnumber = "1260412", MRreviewer = "T. Zolezzi", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1550/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:1994:STE, author = "David Borwein and Jonathan M. Borwein", title = "On Some Trigonometric and Exponential Lattice Sums", journal = j-J-MATH-ANAL-APPL, volume = "188", number = "1", pages = "209--218", year = "1994", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1994.1422", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "11L03 (11L07)", MRnumber = "1301727", MRreviewer = "Gunter Dufner", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1542/; http://www.sciencedirect.com/science/article/pii/S0022247X84714223", abstract = "Certain two-dimensional trigonometric lattice series, the ordinary convergence of which involves unresolved questions of a deep and delicate number-theoretic nature, are shown to be summable by a special Abelian method and their Abelian sums are obtained. This is done by first evaluating an absolutely convergent exponential lattice series and then analytically extending its sum.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Borwein:1994:UCM, author = "J. M. Borwein and W. Huang", title = "Uniform convergence for moment problems with {Fermi--Dirac} type entropies", journal = j-ZOR-MATH-METHODS-OPER-RES, volume = "40", number = "3", pages = "239--252", year = "1994", CODEN = "ZMRREP", DOI = "https://doi.org/10.1007/BF01432968", ISSN = "0340-9422", MRclass = "90C45 (44A60)", MRnumber = "1316390", MRreviewer = "Dominikus Noll", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/70/; http://link.springer.com/article/10.1007/BF01432968", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Operations Research. Mathematical Methods of Operations Research", journal-URL = "http://link.springer.com/journal/186", } @Article{Borwein:1994:UMP, author = "J. M. Borwein and M. A. Limber", title = "Underdetermined moment problems: a case for convex analysis", journal = "SIAG/OPT", volume = "??", number = "5", pages = "9--13", month = "Fall", year = "1994", DOI = "", bibdate = "Mon Aug 15 14:52:57 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Invited talk at 1994 SIAM Conference on Optimization.", URL = "", acknowledgement = ack-nhfb, remark = "Which journal is this??", } @InProceedings{Bailey:1995:FNI, author = "D. H. Bailey and J. M. Borwein and R. Girgensohn", editor = "????", booktitle = "{SIAM Conference on Parallel Computing, San Francisco, February 1995}", title = "Finding new identities with supercomputers", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "??--??", year = "1995", bibdate = "Mon Aug 15 14:48:40 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @TechReport{Bauschke:1995:CLM, author = "H. H. Bauschke and J. M. Borwein", title = "Continuous linear monotone mappings in {Banach} space", type = "CECM Research Report", number = "95:049", institution = inst-CECM, address = inst-CECM:adr, month = aug, year = "1995", bibdate = "Tue Aug 16 10:12:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/114/", acknowledgement = ack-nhfb, } @Book{Borowski:1995:DCD, author = "Ephraim J. Borowski and Jonathan M. Borwein", title = "Dizionario {Collins} della matematica", publisher = "Gremese Editore", address = "Roma, Italy", pages = "423", year = "1995", ISBN = "88-7605-813-3", ISBN-13 = "978-88-7605-813-4", LCCN = "????", bibdate = "Tue Aug 16 09:08:42 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Translation to Italian by Andrea Stracca of \cite{Borowski:1991:HDM}.", series = "Dizionari Gremese", acknowledgement = ack-nhfb, subject = "Matematica - Enciclopedie e dizionari", } @Book{Borowski:1995:SXC, author = "Ephraim J. Borowski and Jonathan M. Borwein", title = "Shu xue ci dian", volume = "10", publisher = "Mao tou ying chu ban", address = "Taibei", pages = "879", year = "1995", ISBN = "957-0337-14-1", ISBN-13 = "978-957-0337-14-3", LCCN = "????", bibdate = "Tue Aug 16 09:05:36 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Chinese edition of \cite{Borowski:1991:HDM}.", acknowledgement = ack-nhfb, } @Article{Borwein:1995:ATB, author = "Jonathan M. Borwein and Roland Girgensohn", title = "Addition theorems and binary expansions", journal = j-CAN-J-MATH, volume = "47", number = "2", pages = "262--273", year = "1995", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-1995-013-4", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "39B62 (11A63)", MRnumber = "1335077", MRreviewer = "W. Herget", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1537/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @TechReport{Borwein:1995:CCH, author = "Jonathan M. Borwein and Simon Fitzpatrick", title = "Closed convex {Haar} null sets", type = "CECM Research Report", number = "95:052", institution = inst-CECM, address = inst-CECM:adr, month = aug, year = "1995", bibdate = "Tue Aug 16 10:13:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/117/", acknowledgement = ack-nhfb, } @InProceedings{Borwein:1995:CCS, author = "J. M. Borwein and S. Fitzpatrick", booktitle = "Proceedings of the Optimization Miniconference II", title = "Characterization of {Clarke} subgradients among one-dimensional multifunctions", publisher = "University of Ballarat", address = "Ballarat, VI, Australia", pages = "5--12", year = "1995", bibdate = "Mon Aug 15 14:41:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/23/", acknowledgement = ack-nhfb, } @Article{Borwein:1995:CLR, author = "Jonathan M. Borwein and Jon D. Vanderwerff", title = "Convergence of {Lipschitz} regularizations of convex functions", journal = j-J-FUNCT-ANAL, volume = "128", number = "1", pages = "139--162", year = "1995", CODEN = "JFUAAW", DOI = "https://doi.org/10.1006/jfan.1995.1026", ISSN = "0022-1236 (print), 1096-0783 (electronic)", ISSN-L = "0022-1236", MRclass = "49J45 (46N10 49J52)", MRnumber = "1317713", MRreviewer = "Lionel Thibault", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1540/; http://www.sciencedirect.com/science/article/pii/S0022123685710269", abstract = "For a sequence or net of convex functions on a Banach space, we study pointwise convergence of their Lipschitz regularizations and convergence of their epigraphs. The Lipschitz regularizations we will consider are the infimal convolutions of the functions with appropriate multiples of the norm. For a sequence of convex functions on a separable Banach space we show that both pointwise convergence of their Lipschitz regularizations and Wijsman convergence of their epigraphs are equivalent to variants of two conditions used by Attouch and Beer to characterize slice convergence. Results for nonseparable spaces are obtained by separable reduction arguments. As a by-product, slice convergence for an arbitrary net of convex functions can be deduced from the pointwise convergence of their regularizations precisely when the w* and the norm topologies agree on the dual sphere. This extends some known results and answers an open question.", acknowledgement = ack-nhfb, fjournal = "Journal of Functional Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/00221236", } @Article{Borwein:1995:EEEa, author = "David Borwein and Jonathan M. Borwein and Roland Girgensohn", title = "Explicit evaluation of {Euler} sums", journal = j-PROC-EDINBURGH-MATH-SOC-2, volume = "38", number = "2", pages = "277--294", month = jun, year = "1995", CODEN = "PRMSA3", DOI = "https://doi.org/10.1017/S0013091500019088", ISSN = "0013-0915 (print), 1464-3839 (electronic)", ISSN-L = "0013-0915", MRclass = "11M06 (11Y60)", MRnumber = "1335874", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/58/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the Edinburgh Mathematical Society (2)", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PEM", } @Article{Borwein:1995:FHMa, author = "J. M. Borwein and W. Z. Huang", title = "A fast heuristic method for polynomial moment problems with {Boltzmann--Shannon} entropy", journal = j-SIAM-J-OPT, volume = "5", number = "1", pages = "68--99", year = "1995", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/0805004", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C45 (44A60 65K05)", MRnumber = "1315705", MRreviewer = "Dominikus Noll", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1539/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:1995:FHMb, author = "J. M. Borwein and M. N. Limber and D. Noll", title = "Fast heuristic methods for function reconstruction using derivative information", journal = j-APPL-ANAL, volume = "58", number = "3--4", pages = "241--261", year = "1995", CODEN = "APANCC", DOI = "https://doi.org/10.1080/00036819508840375", ISSN = "0003-6811", ISSN-L = "0003-6811", MRclass = "65D15 (49N15 62G05)", MRnumber = "1383191", MRreviewer = "Zdzis{\l}aw W. Trzaska", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1536/", acknowledgement = ack-nhfb, fjournal = "Applicable Analysis. An International Journal", } @Article{Borwein:1995:IIS, author = "David Borwein and Jonathan M. Borwein", title = "On an intriguing integral and some series related to {$ \zeta (4) $}", journal = j-PROC-AM-MATH-SOC, volume = "123", number = "4", pages = "1191--1198", year = "1995", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2160718", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "11Y60 (11M06 11Y35 33B15 42A16)", MRnumber = "1231029", MRreviewer = "Henri Joris", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1538/", abstract = "An intriguing log-cosine integral is fully analyzed and shown to have value a rational multiple of $ \zeta (4) $, $ \zeta $ being the Riemann zeta function. From this we deduce by means of generating functions and Parseval's identity the sums of certain series previously established by a completely different method.", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @InCollection{Borwein:1995:MCF, author = "Jonathan M. Borwein and Kenneth R. Davidson", booktitle = "{Canadian Mathematical Society}. 1945--1995", title = "Mathematics in {Canada}: the future of mathematics in {Canada} 50 years later", volume = "1", publisher = "Canadian Mathematical Society", address = "Ottawa, ON, Canada", pages = "231--268 (249--268 fran{\c{c}}iai)", year = "1995", MRclass = "01A80 (01A67)", MRnumber = "1661625", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dual English--French text.", series = "CMS Publications", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:MEMa, author = "J. M. Borwein and P. B. Borwein and R. Girgensohn and S. Parnes", title = "Mathematical Experimentation and Methodology", month = jan, year = "1995", bibdate = "Tue Aug 16 10:07:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Unpublished report.", acknowledgement = ack-nhfb, } @Article{Borwein:1995:MER, author = "J. M. Borwein and A. S. Lewis and M. N. Limber and D. Noll", title = "Maximum entropy reconstruction using derivative information. {II}. {Computational} results", journal = j-NUM-MATH, volume = "69", number = "3", pages = "243--256", year = "1995", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050090", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65K10 (65U05)", MRnumber = "1312779", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/71/; http://link.springer.com/article/10.1007/s002110050090", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", xxtitle = "Maximum entropy spectral analysis using first order information. {Part 2}: {A} Numerical Algorithm for {Fisher} information duality", } @TechReport{Borwein:1995:MSE, author = "Jonathan M. Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes", title = "Making sense of experimental mathematics", type = "CECM preprint", number = "95:032", institution = inst-CECM, address = inst-CECM:adr, year = "1995", bibdate = "Thu Aug 11 09:31:33 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/98/", acknowledgement = ack-nhfb, } @Article{Borwein:1995:SCB, author = "Jonathan Borwein and Simon Fitzpatrick", title = "{$ {\rm Weak}^\ast $} sequential compactness and bornological limit derivatives", journal = j-J-CONVEX-ANAL, volume = "2", number = "1--2", pages = "59--67", year = "1995", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49J52 (46G05 47N10 49J40 58C20)", MRnumber = "1363360", MRreviewer = "Nikolay V. Zhivkov", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dedicated to R. T. Rockafellar on his 60th birthday.", URL = "http://www.heldermann.de/JCA/jcacon.htmvol.2_no.1+2/j4_49.ps.gz", abstract = "In this note we give a self-contained account of the relationship between the sequential and topological constructions of bornological limit derivatives for locally Lipschitzian real-valued functions on Banach spaces.", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", keywords = "Asplund space; bornological limit derivative; Clarke subgradient; Fr{\'e}chet derivative; Gateaux derivative; subderivative; weak Hadamard derivative; weak* sequential compactness.; weakly compactly generated", received = "6 June 1994; revised 15 November 1994", } @InProceedings{Borwein:1995:SEC, author = "Jonathan M. Borwein", editor = "Roland Durier and Chistian Michelot", booktitle = "Recent Developments in Optimization: Seventh {French--German} Conference on Optimization ({Dijon} 1994)", title = "A survey of examples of convex functions and classifications of normed spaces", volume = "429", publisher = pub-SV, address = pub-SV:adr, pages = "60--71", year = "1995", DOI = "https://doi.org/10.1007/978-3-642-46823-0_5", ISBN = "3-642-46823-3", ISBN-13 = "978-3-642-46823-0", LCCN = "QA402.5", MRclass = "46N10 (46B20 49J50)", MRnumber = "1358388", MRreviewer = "A. B. N{\'e}meth", bibdate = "Mon Aug 15 14:50:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Lecture Notes in Economic and Mathematical Systems", URL = "http://docserver.carma.newcastle.edu.au/93/", acknowledgement = ack-nhfb, xxtitle = "A survey of examples of convex functions and the classification of {Banach} spaces", } @Article{Borwein:1995:SRS, author = "Jonathan M. Borwein and Jon D. Vanderwerff", title = "A survey on renorming and set convergence", journal = "Topological Methods in Nonlinear Analysis", volume = "5", number = "2", pages = "211--228", year = "1995", ISSN = "1230-3429", ISSN-L = "1230-3429", MRclass = "46B20 (46G05 46N10 49J45 54B20)", MRnumber = "1374058", MRreviewer = "David Yost", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/97/; https://www.tmna.ncu.pl/static/files/v05n2-01.pdf", acknowledgement = ack-nhfb, ajournal = "Topol. Methods Nonlinear Anal.", fjournal = "Topological Methods in Nonlinear Analysis", journal-URL = "https://www.tmna.ncu.pl/static/archives/archives.html", } @Article{Limber:1995:DRF, author = "M. A. Limber and M. N. Limber and A. Celler and J. S. Barney and J. M. Borwein", title = "Direct reconstruction of functional parameters for dynamic {SPECT}", journal = j-IEEE-TRANS-NUCL-SCI, volume = "42", number = "4", pages = "1249--1256", month = aug, year = "1995", CODEN = "IRNSAM", DOI = "https://doi.org/10.1109/23.467872", ISSN = "0018-9499 (print), 1558-1578 (electronic)", ISSN-L = "0018-9499", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1995ITNS...42.1249L; http://docserver.carma.newcastle.edu.au/1535/", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Nuclear Science", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23", } @Article{Bauschke:1996:PAS, author = "Heinz H. Bauschke and Jonathan M. Borwein", title = "On Projection Algorithms for Solving Convex Feasibility Problems", journal = j-SIAM-REVIEW, volume = "38", number = "3", pages = "367--426", month = sep, year = "1996", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/S0036144593251710", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "90C25 (47N10 49M45 65J10)", MRnumber = "1 409 591", MRreviewer = "F. Deutsch", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "Compendex database; http://epubs.siam.org/toc/siread/38/3; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib; http://www.siam.org/journals/sirev/sirev383.htm", URL = "http://docserver.carma.newcastle.edu.au/100/; http://epubs.siam.org/sam-bin/dbq/article/25171", abstract = "Due to their extraordinary utility and broad applicability in many areas of classical mathematics and modern physical sciences (most notably, computerized tomography), algorithms for solving convex feasibility problems continue to receive great attention. To unify, generalize, and review some of these algorithms, a very broad and flexible framework is investigated. Several crucial new concepts which allow a systematic discussion of questions on behaviour in general Hilbert spaces and on the quality of convergence are brought out. Numerous examples are given.", acknowledgement = ack-nhfb, affiliation = "Simon Fraser Univ", affiliationaddress = "BC, Can", classification = "723.2; 723.5; 921.5; 921.6; B0250 (Combinatorial mathematics); B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B6140C (Optical information, image and video signal processing); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques); C1250 (Pattern recognition); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. and Stat., Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", journal-URL = "http://epubs.siam.org/sirev", journalabr = "SIAM Rev", keywords = "Algorithms; Approximation theory; Classical mathematics; computerised tomography; Computerized tomography; computerized tomography; convergence of numerical methods; Convergence of numerical methods; convex feasibility; Convex feasibility problems; Convex inequalities; Convex programming; convex programming; Functions; Hilbert spaces; Image reconstruction; image reconstruction; image recovery; iterative method; Iterative methods; iterative methods; Linear convergence; linear convergence; linear inequality; Mathematical programming; Problem solving; Projection algorithms; projection algorithms; set theory; Subgradient algorithm; subgradient algorithm", onlinedate = "September 1996", remark = "According to the obituary at the AMS Web site, this is Jon Borwein's most-cited paper. Google Scholar shows 1231 citations as of 02 January 2017, fewer than the 1378 noted in \cite{Barzilai:1988:TPS}.", treatment = "T Theoretical or Mathematical", } @Article{Borwein:1996:ASC, author = "D. Borwein and J. M. Borwein and Xianfu Wang", title = "Approximate subgradients and coderivatives in {$ {\bf R}^n $}", journal = j-SET-VALUED-ANAL, volume = "4", number = "4", pages = "375--398", year = "1996", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/BF00436112", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "49J52", MRnumber = "1422402", MRreviewer = "Doug Ward", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/152/; http://link.springer.com/article/10.1007/BF00436112", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Borwein:1996:BRE, author = "Jonathan M. Borwein and Rob M. Corless", title = "Book Review: {{\booktitle{The Encyclopedia of Integer Sequences}}, by N. J. A. Sloane and Simon Plouffe. Academic Press, San Diego, CA, 1995. \$44.95. xii + 587 pp., hardcover. ISBN 0-12-558630-2}", journal = j-SIAM-REVIEW, volume = "38", number = "2", pages = "333--337", month = jun, year = "1996", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1038058", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Aug 31 09:45:28 2016", bibsource = "http://epubs.siam.org/toc/siread/38/2; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2132886", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "June 1996", } @Article{Borwein:1996:BSAa, author = "J. M. Borwein and J. D. Vanderwerff", title = "{Banach} spaces that admit support sets", journal = j-PROC-AM-MATH-SOC, volume = "124", number = "3", pages = "751--755", year = "1996", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-96-03122-X", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B20 (46B03)", MRnumber = "1301010", MRreviewer = "Catherine Finet", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/87/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1996:BSAb, author = "J. M. Borwein and J. D. Vanderwerff", title = "{Banach} spaces that admit support sets", journal = j-PROC-AM-MATH-SOC, volume = "124", number = "3", pages = "751--756", month = mar, year = "1996", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-96-03122-X", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", bibdate = "Fri Aug 12 12:16:08 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/87/; http://www.ams.org/journals/proc/1996-124-03/S0002-9939-96-03122-X/", abstract = "It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system.", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1996:DAM, author = "Jonathan M. Borwein and Peter B. Borwein and Stephen Braham and Robert Corless and Loki J{\"o}rgenson", title = "Digitally Activated Mathematics for a Brave New {World Wide Web}", journal = "Education, Research and Perspectives", volume = "23", number = "2", pages = "28--47", month = dec, year = "1996", ISSN = "0311-2543 (print), 1446-0017 (electronic)", ISSN-L = "0311-2543", bibdate = "Fri Aug 12 12:03:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue on multimedia technologies and education.", URL = "http://docserver.carma.newcastle.edu.au/1533/; http://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13132; https://search.informit.com.au/documentSummary%3Bdn=970909729%3Bres=IELAPA", acknowledgement = ack-nhfb, journal-URL = "http://www.erpjournal.net/", remark = "The journal Web site has no online archives before year 2000.", } @Article{Borwein:1996:EFE, author = "Jonathan M. Borwein and David M. Bradley and David J. Broadhurst", title = "Evaluations of $k$-fold {Euler\slash Zagier} sums: a compendium of results for arbitrary $k$", journal = "ArXiv High Energy Physics --- Theory e-prints", month = nov, year = "1996", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1996hep.th...11004B; http://arxiv.org/abs/hep-th/9611004", abstract = "Euler sums (also called Zagier sums) occur within the context of knot theory and quantum field theory. There are various conjectures related to these sums whose incompletion is a sign that both the mathematics and physics communities do not yet completely understand the field. Here, we assemble results for Euler/Zagier sums (also known as multidimensional zeta/harmonic sums) of arbitrary depth, including sign alternations. Many of our results were obtained empirically and are apparently new. By carefully compiling and examining a huge data base of high precision numerical evaluations, we can claim with some confidence that certain classes of results are exhaustive. While many proofs are lacking, we have sketched derivations of all results that have so far been proved.", acknowledgement = ack-nhfb, eprint = "hep-th/9611004", keywords = "High Energy Physics - Theory", } @Article{Borwein:1996:ETE, author = "Jonathan M. Borwein and Roland Girgensohn", title = "Evaluation of triple {Euler} sums", journal = j-ELECT-J-COMB, volume = "3", number = "1", pages = "Research Paper 23", year = "1996", ISSN = "1077-8926 (print), 1097-1440 (electronic)", ISSN-L = "1077-8926", MRclass = "11M99 (11Y60)", MRnumber = "1401442", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/118/; http://www.combinatorics.org/Volume_3/Abstracts/v3i1r23.html", acknowledgement = ack-nhfb, fjournal = "Electronic Journal of Combinatorics", pagecount = "27", } @Article{Borwein:1996:EUC, author = "Jonathan M. Borwein and Jon D. Vanderwerff", title = "Epigraphical and uniform convergence of convex functions", journal = j-TRANS-AM-MATH-SOC, volume = "348", number = "4", pages = "1617--1631", month = apr, year = "1996", CODEN = "TAMTAM", DOI = "https://doi.org/10.1090/S0002-9947-96-01581-4", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "49J45 (46A55 46B20 46N10 52A41)", MRnumber = "1344203", MRreviewer = "W. W. Breckner", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/94/; http://www.jstor.org/stable/2155155", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1996:GCP, author = "D. Borwein and J. M. Borwein and P. B. Borwein and R. Girgensohn", title = "{Giuga}'s conjecture on primality", journal = j-AMER-MATH-MONTHLY, volume = "103", number = "1", pages = "40--50", year = "1996", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2975213", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11A25", MRnumber = "1369150", MRreviewer = "Andrew Granville", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/88/", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1996:MER, author = "J. M. Borwein and A. S. Lewis and D. Noll", title = "Maximum entropy reconstruction using derivative information. {I}. {Fisher} information and convex duality", journal = j-MATH-OP-RES, volume = "21", number = "2", pages = "442--468", year = "1996", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.21.2.442", ISSN = "0364-765x (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C48 (49N15)", MRnumber = "1397223", MRreviewer = "Vaithilingam Jeyakumar", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/82/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Borwein:1996:MSE, author = "Jonathan Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes", title = "Making sense of experimental mathematics", journal = j-MATH-INTEL, volume = "18", number = "4", pages = "12--18", month = "Fall", year = "1996", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF03026747", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "00A35", MRnumber = "1413248", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/98/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", remark = "This entry appears to be contained in \cite{Octavio:1996:IT}. Is it a separate paper??", } @Article{Borwein:1996:PAS, author = "Jonathan M. Borwein and Alexander Ioffe", title = "Proximal analysis in smooth spaces", journal = j-SET-VALUED-ANAL, volume = "4", number = "1", pages = "1--24", year = "1996", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/BF00419371", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "49J52 (46N10 58C20)", MRnumber = "1384247", MRreviewer = "Philip D. Loewen", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/61/", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Borwein:1996:PSR, author = "Jonathan M. Borwein", title = "Problems and Solutions: Revivals: 10281", journal = j-AMER-MATH-MONTHLY, volume = "103", number = "10", pages = "911--912", year = "1996", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1542929", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://links.jstor.org/sici?sici=0002-9890(199612)103:10<911:1>2.0.CO%3B2-5&origin=MSN", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1996:PSS, author = "Jonathan M. Borwein and Donald A. Darling and D. B. Tyler", title = "Problems and Solutions: Solutions: 10281", journal = j-AMER-MATH-MONTHLY, volume = "103", number = "2", pages = "181--183", year = "1996", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2975121", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1542802", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Borwein:1996:SRZ, author = "Jonathan M. Borwein and Peter B. Borwein", title = "{Srinivasa Ramanujan und die Zahl Pi}. ({German}) [{Srinivasa Ramanujan} and the number $ \pi $]", crossref = "Faltings:1996:MM", pages = "60--68", year = "1996", bibdate = "Fri Aug 12 14:57:29 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Reprint of \cite{Borwein:1988:RP}.", URL = "http://docserver.carma.newcastle.edu.au/1379/", acknowledgement = ack-nhfb, language = "German", xxtitle = "{Ramanujan} and {Pi}", } @Article{Borwein:1996:SSA, author = "Jonathan Borwein and David Bradley", title = "Searching Symbolically for {Ap{\'e}ry}-like Formulae for Values of the {Riemann} Zeta Function", journal = j-SIGSAM, volume = "30", number = "2", pages = "2--7", month = jun, year = "1996", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/235699.235700", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/sigsam.bib", URL = "http://docserver.carma.newcastle.edu.au/170/; http://doi.acm.org/10.1145/235699.235700", acknowledgement = ack-nhfb, acmid = "235700", classcodes = "C7310 (Mathematics computing)", corpsource = "Centre for Exp. and Constructive Math., Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)", issue = "116", issue-date = "June 1996", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", keywords = "algebra; Apery-like formulae; computer; formal proof; functions; Riemann Zeta function; special values; symbol manipulation; symbolic methods", numpages = "6", treatment = "T Theoretical or Mathematical", } @Article{Borwein:1996:VSV, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Viscosity solutions and viscosity subderivatives in smooth {Banach} spaces with applications to metric regularity", journal = j-SIAM-J-CONTROL-OPTIM, volume = "34", number = "5", pages = "1568--1591", year = "1996", CODEN = "SJCODE", DOI = "https://doi.org/10.1137/S0363012994268801", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "49L25 (49J52 49N10)", MRnumber = "1404847", MRreviewer = "Abderrahim Jourani", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/80/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", } @Article{Octavio:1996:IT, author = "Alfredo Octavio and Jonathan Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes", title = "The ``indexed'' theorem", journal = j-MATH-INTEL, volume = "18", number = "4", pages = "9--18", month = sep, year = "1996", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/bf03026747", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Thu Aug 11 09:28:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", } @Article{Bailey:1997:KC, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall", title = "On the {Khintchine} constant", journal = j-MATH-COMPUT, volume = "66", number = "217", pages = "417--431", year = "1997", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-97-00800-4", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (11K50 11Y65)", MRnumber = "1377659", MRreviewer = "T. Mets{\"a}nkyl{\"a}", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1997MaCom..66..417B; http://docserver.carma.newcastle.edu.au/102/", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Bailey:1997:QP, author = "D. H. Bailey and J. M. Borwein and P. B. Borwein and S. Plouffe", title = "The quest for pi", journal = j-MATH-INTEL, volume = "19", number = "1", pages = "50--57", year = "1997", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF03024340", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "01A99", MRnumber = "1439159", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/164/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", } @InCollection{Bailey:1997:RME, author = "D. H. Bailey and J. M. Borwein and P. B. Borwein", title = "{Ramanujan}, modular equations, and approximations to pi or {How} to compute one billion digits of pi [{MR0991866} (90d:11143)]", crossref = "Borwein:1997:OMP", pages = "35--71", year = "1997", ISSN = "0731-1036", ISSN-L = "0731-1036", MRclass = "11Y60 (01A60 11F03 33E20)", MRnumber = "1483913", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", note = "Reprint of \cite{Borwein:1989:RME}.", series = "CMS Conference Proceedings", URL = "http://docserver.carma.newcastle.edu.au/1587/; http://www.cecm.sfu.ca/organics/papers/borwein/index.html", abstract = "The article underlying our contribution started life in 1986 when David Bailey and Jon and Peter B. Borwein began to write separate pieces on ``Pi and its computation'' for the MAA Monthly. With urging from Herb Wilf (the then editor) the authors joined forces and a joint paper issued forth that was published in 1989. Since 1989, while the computers have continued to improve and the computation of has continued unabated, the underlying mathematical and computational techniques being employed are still much as described in the printed piece.\par We opted to use this article as our contribution to Organic Mathematics for several reasons: it is reasonably accessible; it clearly allows for ``enhancement''; it was complete as a written piece and so allowed us to concentrate on the key issues underlying the larger project. Moreover, it tells a 3,000 year story touching many themes (from transcendence theory, to elliptic functions, and the Fast Fourier Transform) and involving many great thinkers (Archimedes, Newton, Gauss, Euler, Ramanujan, Von Neumann, Hilbert). In sum then we felt that the article provided an exellent test-bed to try out what would work in a multi-modal mathematical environment.\par A project like this presents several challenges for the mathematician as multi-media author. First, the technology is changing so quickly that tools uninvented when the project began are sure to be obsolete before it is finished. Second, it involves a super-highway to be sure but one running through terra incognita. At many levels one must balance the issues of form and function, speed and scope. The version presently before you looks little like the one of six months ago --- small changes to the interface can greatly enhance or reduce readability.\par The opportunities are great. Within this article, you will see the bust of Ramanujan. You can read quotes from many sources and see part of the original documents from Hermite, Shanks, von Neumann and others. You may use ``lattice basis reduction'' over the Web; plot and compute many fascinating functions. If you want to try more examples the opportunities will be there.\par On the down side, you may plunge off into secondary links and get lost coming back. You may find the plethora of hypertext links and options distracting, and the present limitations of using Maple over the Internet frustrating.\par Our hope is that this article and this collection will play some role in limning the possibilities and flagging the pot-holes of trying to use these new tools to engage, educate and excite students, users and producers of mathematics.", acknowledgement = ack-nhfb, book-URL = "http://www.cecm.sfu.ca/organics", } @InCollection{Bauschke:1997:CSC, author = "H. H. Bauschke and J. M. Borwein and A. S. Lewis", editor = "Yair Censor and Simeon Reich", booktitle = "Recent Developments in Optimization Theory and Nonlinear Analysis", title = "Convex sets and the cyclic projection algorithm", volume = "204", publisher = pub-AMS, address = pub-AMS:adr, pages = "1--38", year = "1997", bibdate = "Mon Aug 15 14:42:36 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemporary Mathematics", acknowledgement = ack-nhfb, } @Article{Bauschke:1997:LFM, author = "Heinz H. Bauschke and Jonathan M. Borwein", title = "{Legendre} functions and the method of random {Bregman} projections", journal = j-J-CONVEX-ANAL, volume = "4", number = "1", pages = "27--67", year = "1997", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49M45 (65K10 90C25)", MRnumber = "1459881", MRreviewer = "Alfredo N. Iusem", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/96/; http://www.heldermann-verlag.de/jca/jca04/jca04002.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @InCollection{Bauschke:1997:MCP, author = "Heinz H. Bauschke and Jonathan M. Borwein and Adrian S. Lewis", booktitle = "Recent developments in optimization theory and nonlinear analysis ({Jerusalem}, 1995)", title = "The method of cyclic projections for closed convex sets in {Hilbert} space", volume = "204", publisher = pub-AMS, address = pub-AMS:adr, pages = "1--38", year = "1997", DOI = "https://doi.org/10.1090/conm/204/02620", MRclass = "49M45 (47H99 47N10 65F10 90C25)", MRnumber = "1442992", MRreviewer = "Alfredo N. Iusem", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Borwein:1997:ADE, author = "J. M. Borwein and F. G. Garvan", title = "Approximations to $ \pi $ via the {Dedekind} eta function", crossref = "Borwein:1997:OMP", pages = "89--115", year = "1997", MRclass = "11F20 (11Y60)", MRnumber = "1483915", MRreviewer = "Bruce C. Berndt", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CMS Conf. Proc.", URL = "http://docserver.carma.newcastle.edu.au/158/", acknowledgement = ack-nhfb, } @InProceedings{Borwein:1997:AGMa, author = "J. M. Borwein and P. B. Borwein", booktitle = "{Pi: A Source Book}", title = "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "1997", DOI = "https://doi.org/10.1007/978-1-4757-2736-4_56", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_56", acknowledgement = ack-nhfb, } @Article{Borwein:1997:AGMb, author = "Jonathan A. Borwein and Petr Lison{\v{e}}k and John A. Macdonald", title = "Arithmetic--Geometric Means Revisited", journal = j-MAPLE-TECH-NEWS, volume = "4", number = "1", pages = "20--27", month = "Winter", year = "1997", ISSN = "1061-5733", ISSN-L = "1061-5733", bibdate = "Wed Jul 23 09:11:50 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-tech.bib", note = "Special issue on Maple in the mathematical sciences.", URL = "http://docserver.carma.newcastle.edu.au/4/", acknowledgement = ack-nhfb, fjournal = "Maple technical newsletter", journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html", } @InProceedings{Borwein:1997:APD, author = "J. M. Borwein and F. Garvan", editor = "????", booktitle = "Organic Mathematics Proceedings, {12 April 1996}", title = "Approximating Pi with the {Dedekind} eta function", publisher = "????", address = "????", pages = "??--??", year = "1997", ISSN = "0731-1036", bibdate = "Mon Aug 15 14:37:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.cecm.sfu.ca/organics", acknowledgement = ack-nhfb, } @Article{Borwein:1997:CBS, author = "J. Borwein and M. Fabian and J. Vanderwerff", title = "Characterizations of {Banach} spaces via convex and other locally {Lipschitz} functions", journal = "Acta Math. Vietnam.", volume = "22", number = "1", pages = "53--69", year = "1997", ISSN = "0251-4184 (print), 2315-4144 (electronic)", ISSN-L = "0251-4184", MRclass = "46B20 (46G99 52A41)", MRnumber = "1479738", MRreviewer = "Warren B. Moors", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special edition in honour of Huang Tuy's seventieth birthday.", URL = "http://docserver.carma.newcastle.edu.au/179/", acknowledgement = ack-nhfb, fjournal = "Acta Mathematica Vietnamica", } @Article{Borwein:1997:CFB, author = "Jon Borwein and Jon Vanderwerff", title = "Convex functions on {Banach} spaces not containing {$ l_1 $}", journal = j-CAN-MATH-BULL, volume = "40", number = "1", pages = "10--18", year = "1997", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1997-002-1", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "46B20 (46A55 46G05 46N10 52A41)", MRnumber = "1443721", MRreviewer = "Li Xin Cheng", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1532/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:1997:DDF, author = "J. M. Borwein and Xianfu Wang", title = "Distinct differentiable functions may share the same {Clarke} subdifferential at all points", journal = j-PROC-AM-MATH-SOC, volume = "125", number = "3", pages = "807--813", year = "1997", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-97-03654-X", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "49J52 (26A16 26A24 58C20)", MRnumber = "1363449", MRreviewer = "Doug Ward", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/112/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:1997:DEM, author = "Jonathan Borwein and Michael Monagan", title = "Differential Equations in {Maple}: a Short Tutorial", journal = j-MAPLE-TECH-NEWS, volume = "4", number = "1", pages = "55--58", month = "Winter", year = "1997", ISSN = "1061-5733", ISSN-L = "1061-5733", bibdate = "Wed Jul 23 09:11:50 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-tech.bib", acknowledgement = ack-nhfb, fjournal = "Maple technical newsletter", journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html", } @Article{Borwein:1997:EDA, author = "Jonathan Borwein and David Bradley", title = "Empirically determined {Ap{\'e}ry}-like formulae for {$ \zeta (4 n + 3) $}", journal = j-EXP-MATH, volume = "6", number = "3", pages = "181--194", year = "1997", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.1997.10504608", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60 (11M06)", MRnumber = "1481588", MRreviewer = "F. Beukers", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/163/; http://projecteuclid.org/euclid.em/1047920419", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Borwein:1997:EFE, author = "Jonathan M. Borwein and David M. Bradley and David J. Broadhurst", title = "Evaluations of $k$-fold {Euler\slash Zagier} sums: a compendium of results for arbitrary $k$", journal = j-ELECT-J-COMB, volume = "4", number = "2", pages = "Research Paper 5", year = "1997", ISSN = "1077-8926 (print), 1097-1440 (electronic)", ISSN-L = "1077-8926", MRclass = "11M41 (11Y60)", MRnumber = "1444152", MRreviewer = "Pavel Guerzhoy", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "The Wilf Festschrift (Philadelphia, PA, 1996).", URL = "http://www.combinatorics.org/Volume_4/Abstracts/v4i2r5.html", acknowledgement = ack-nhfb, fjournal = "Electronic Journal of Combinatorics", pagecount = "21", } @Article{Borwein:1997:ESLa, author = "Jonathan M. Borwein and Warren B. Moors", title = "Essentially smooth {Lipschitz} functions", journal = j-J-FUNCT-ANAL, volume = "149", number = "2", pages = "305--351", year = "1997", CODEN = "JFUAAW", DOI = "https://doi.org/10.1006/jfan.1997.3101", ISSN = "0022-1236 (print), 1096-0783 (electronic)", ISSN-L = "0022-1236", MRclass = "58C20 (46G05 46N10 49J52)", MRnumber = "1472362", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/95/; http://www.sciencedirect.com/science/article/pii/S0022123697931013", abstract = "In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on separable Banach spaces. For example, we examine the relationship between integrability,D-representability, and strict differentiability. In addition to this, we show that on any separable Banach space there is a significant family of locally Lipschitz functions that are integrable,D-representable and possess desirable differentiability properties. We also present some striking applications of our results to distance functions.", acknowledgement = ack-nhfb, fjournal = "Journal of Functional Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/00221236", } @InCollection{Borwein:1997:ESLb, author = "Jonathan M. Borwein and Warren B. Moors", editor = "F. Cucker and M. Shub", booktitle = "Foundations of computational mathematics ({Rio de Janeiro, 1997})", title = "Essentially smooth {Lipschitz} functions: compositions and chain rules", publisher = pub-SV, address = pub-SV:adr, pages = "16--22", year = "1997", MRclass = "49J52 (46N10 58C20)", MRnumber = "1661969", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @InProceedings{Borwein:1997:LFM, author = "J. M. Borwein and W. B. Moors", editor = "B. M. Glover and D. Ralph", booktitle = "Proceedings of the Optimization Miniconference III, University of Melbourne, July 1996", title = "{Lipschitz} functions with minimal {Clarke} subdifferential mappings", publisher = "University of Ballarat", address = "Ballarat, VI, Australia", pages = "5--12", year = "1997", bibdate = "Mon Aug 15 14:41:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/178/", acknowledgement = ack-nhfb, } @Article{Borwein:1997:LFP, author = "Jonathan M. Borwein and Warren B. Moors and Xianfu Wang", title = "{Lipschitz} functions with prescribed derivatives and subderivatives", journal = j-NONLINEAR-ANAL, volume = "29", number = "1", pages = "53--63", year = "1997", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(96)00050-8", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49J52 (46G05 47N10 58C05)", MRnumber = "1447569", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/92/; http://www.sciencedirect.com/science/article/pii/S0362546X96000508", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Clarke subgradient; differentiability; Haar-null set; Lipschitz functions; maximal cyclically monotone operator; minimal cusco", } @Book{Borwein:1997:MIM, editor = "Jonathan M. Borwein and Carolyn Watters and Ephraim J. Borowski", title = "{The MathResource interactive math dictionary: version 1.0. The math visualizing program Newton and Leibniz didn't have. [An essential tool for high school, college and university students, teachers, scientists, engineers, researchers and anyone else who uses or studies mathematics]}", publisher = "MathResources, Inc.", address = "Halifax, NS, Canada", pages = "????", year = "1997", ISBN = "3-540-14650-4", ISBN-13 = "978-3-540-14650-6", LCCN = "????", bibdate = "Tue Aug 16 09:10:33 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", URL = "http://www.mathresources.com", acknowledgement = ack-nhfb, remark = "1997 Eddie Award for best post-secondary reference software, by Education Software Review. MathProbe Media \& Methods 1998 Awards Portfolio winner. LetsDoMath, 2000 Technology \& Learning Award Winner. Integrated with MapleSoft help files in Maple 9.5.", } @Article{Borwein:1997:NEW, author = "Jon Borwein and Michael Monagan", title = "A Note from the {Editors}: Winter 1997, Vol. 4, No. 1", journal = j-MAPLE-TECH-NEWS, volume = "4", number = "1", pages = "1--1", month = "Winter", year = "1997", ISSN = "1061-5733", ISSN-L = "1061-5733", bibdate = "Wed Jul 23 09:11:50 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-tech.bib", acknowledgement = ack-nhfb, fjournal = "Maple technical newsletter", journal-URL = "http://web.mit.edu/maple/www/plibrary/mtn.html", } @Article{Borwein:1997:OJP, author = "Jonathan Borwein and Richard Smith", title = "Online journal publication: two views from the electronic trenches", journal = "Canadian Journal of Communication", volume = "22", number = "??", pages = "135--152", month = "????", year = "1997", DOI = "", bibdate = "Mon Aug 15 14:35:28 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://edie.cprost.sfu.ca/~scom", acknowledgement = ack-nhfb, remark = "Scholarly Communication in the Next Millennium, March 1997. Excerpted in extenso in Active Voice, the national bi-monthly newsletter of the Editors' Association of Canada.", } @InProceedings{Borwein:1997:PEN, author = "J. M. Borwein and P. B. Borwein and K. Dilcher", booktitle = "Pi: A Source Book", title = "Pi, {Euler} Numbers, and Asymptotic Expansions", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "1997", DOI = "https://doi.org/10.1007/978-1-4757-2736-4_65", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1583/; http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_65", acknowledgement = ack-nhfb, } @Article{Borwein:1997:PSS, author = "David Borwein and Jonathan Borwein and Heinz-J{\"u}rgen Seiffert and Robert D. Brown and Pawel Szeptycki", title = "Problems and Solutions: Solutions: 10335", journal = j-AMER-MATH-MONTHLY, volume = "104", number = "1", pages = "72--74", year = "1997", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2974831", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1542940", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InProceedings{Borwein:1997:RME, author = "J. M. Borwein and P. B. Borwein and D. H. Bailey", booktitle = "Pi: A Source Book", title = "{Ramanujan}, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "1997", DOI = "https://doi.org/10.1007/978-1-4757-2736-4_64", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1587/; http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_64", acknowledgement = ack-nhfb, } @Article{Borwein:1997:SAD, author = "J. M. Borwein and W. Sun", title = "The stability analysis of dynamic {SPECT} systems", journal = j-NUM-MATH, volume = "77", number = "3", pages = "283--298", year = "1997", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050287", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65R30 (44A12 65R20 92C55)", MRnumber = "1469673", MRreviewer = "Dominikus Noll", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/99/; http://link.springer.com/article/10.1007/s002110050287", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @Unpublished{Borwein:1997:SAR, author = "Jonathan M. Borwein and Jay Treiman and Qiji Zhu", title = "Sensitivity analysis in reflexive {Banach} spaces", month = aug, year = "1997", bibdate = "Tue Aug 16 10:14:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @InCollection{Borwein:1997:SRR, author = "J. M. Borwein and E. Wong", editor = "L. Vinet", booktitle = "Advances in mathematical sciences: {CRM}'s 25 years ({Montreal}, {PQ}, 1994)", title = "A survey of results relating to {Giuga}'s conjecture on primality", volume = "11", publisher = pub-AMS, address = pub-AMS:adr, pages = "13--27", year = "1997", MRclass = "11A51 (11Y11)", MRnumber = "1479668", MRreviewer = "Andrew Granville", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CRM Proc. Lecture Notes", URL = "http://docserver.carma.newcastle.edu.au/101/", acknowledgement = ack-nhfb, } @Article{Borwein:1997:VAN, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Variational analysis in nonreflexive spaces and applications to control problems with {$ L^1 $} perturbations", journal = j-NONLINEAR-ANAL, volume = "28", number = "5", pages = "889--915", year = "1997", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/0362-546X(95)00186-Y", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49K40", MRnumber = "1422192", MRreviewer = "Vera Zeidan", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/78/; http://www.sciencedirect.com/science/article/pii/0362546X9500186Y", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Weak-Hadamard sub-derivatives; Clarke-subdifferentials; control system; $G$-subdifferentials; H{\"o}lder sub-derivatives; infinite horizon problems; sensitivity analysis; smooth renorms; variational principles", } @InCollection{Borwein:1997:WOM, author = "Jonathan M. Borwein and Peter B. Borwein and Robert M. Corless and Loki J{\"o}rgenson and Nathalie Sinclair", title = "What is organic mathematics?", crossref = "Borwein:1997:OMP", pages = "1--18", year = "1997", ISSN = "0731-1036", ISSN-L = "0731-1036", MRclass = "00A99 (00A30 01A99)", MRnumber = "1483911", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CMS/AMS Conference Proceedings", URL = "http://docserver.carma.newcastle.edu.au/157/; http://www.cecm.sfu.ca/organics", acknowledgement = ack-nhfb, } @Article{Galvin:1997:PSP, author = "Fred Galvin and Franz Rothe and Wen-Xiu Ma and Dan Sachelarie and Vlad Sachelarie and Yury J. Ionin and Robin R. Lewis and Joseph Rosenblatt and Jonathan M. Borwein and C. G. Pinner", title = "Problems and Solutions: Problems: 10599--10605", journal = j-AMER-MATH-MONTHLY, volume = "104", number = "6", pages = "566--567", year = "1997", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2975086", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1543038", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1998:BHS, author = "Jonathan M. Borwein", title = "{Brouwer--Heyting} sequences converge", journal = j-MATH-INTEL, volume = "20", number = "1", pages = "14--15", year = "1998", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF03024393", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "11A63", MRnumber = "1601815", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", } @Article{Borwein:1998:CAMa, author = "Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lison{\v{e}}k", title = "Combinatorial aspects of multiple zeta values", journal = "ArXiv Mathematics e-prints", month = dec, year = "1998", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1998math.....12020B; http://docserver.carma.newcastle.edu.au/201/", abstract = "Multiple zeta values (MZVs, also called Euler sums or multiple harmonic series) are nested generalizations of the classical Riemann zeta function evaluated at integer values. The fact that an integral representation of MZVs obeys a shuffle product rule allows the possibility of a combinatorial approach to them. Using this approach we prove a longstanding conjecture of Don Zagier about MZVs with certain repeated arguments. We also prove a similar cyclic sum identity. Finally, we present extensive computational evidence supporting an infinite family of conjectured MZV identities that simultaneously generalize the Zagier identity.", acknowledgement = ack-nhfb, eprint = "math/9812020", keywords = "Number Theory, Combinatorics, Numerical Analysis, 05A19, 11M99, 68R15 (Primary) 11Y99 (Secondary)", } @Article{Borwein:1998:CAMb, author = "Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lison{\v{e}}k", title = "Combinatorial aspects of multiple zeta values", journal = j-ELECT-J-COMB, volume = "5", pages = "Research Paper 38", year = "1998", ISSN = "1077-8926 (print), 1097-1440 (electronic)", ISSN-L = "1077-8926", MRclass = "11M41 (05A19 11Y60)", MRnumber = "1637378", MRreviewer = "Jerzy Browkin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/201/; http://www.combinatorics.org/Volume_5/Abstracts/v5i1r38.html", acknowledgement = ack-nhfb, fjournal = "Electronic Journal of Combinatorics", pagecount = "12", } @Article{Borwein:1998:CHP, author = "J. M. Borwein and R. Girgensohn and Xianfu Wang", title = "On the construction of {H}{\"o}lder and proximal subderivatives", journal = j-CAN-MATH-BULL, volume = "41", number = "4", pages = "497--507", year = "1998", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-1998-065-9", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "49J52 (26A16 26A24)", MRnumber = "1658271", MRreviewer = "Lionel Thibault", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/186/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:1998:CML, author = "David Borwein and Jonathan M. Borwein and Christopher Pinner", title = "Convergence of {Madelung}-like lattice sums", journal = j-TRANS-AM-MATH-SOC, volume = "350", number = "8", pages = "3131--3167", month = aug, year = "1998", CODEN = "TAMTAM", DOI = "https://doi.org/10.1090/S0002-9947-98-01983-7", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "11P21 (11M41 11Z05 30B50 40A05)", MRnumber = "1433111", MRreviewer = "Hartmut Menzer", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/104/; http://www.jstor.org/stable/117772", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1998:CMV, author = "J. M. Borwein and Xianfu Wang", title = "The converse of the mean value theorem may fail generically", journal = j-AMER-MATH-MONTHLY, volume = "105", number = "9", pages = "847--848", month = nov, year = "1998", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2589216", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "26A24", MRnumber = "1650850", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1530/; http://www.jstor.org/stable/2589216", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1998:CRE, author = "Jonathan M. Borwein and Warren B. Moors", title = "A chain rule for essentially smooth {Lipschitz} functions", journal = j-SIAM-J-OPT, volume = "8", number = "2", pages = "300--308", year = "1998", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623496297838", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "49J52 (46N10 58C20)", MRnumber = "1618794", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/151/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @TechReport{Borwein:1998:CSR, author = "Jonathan M. Borwein and David M. Bradley and Richard E. Crandall", title = "Computational Strategies for the {Riemann} Zeta Function", type = "Report", number = "CECM-98-118", institution = inst-CECM, address = inst-CECM:adr, pages = "68", day = "30", month = oct, year = "1998", bibdate = "Mon Oct 24 11:29:15 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://people.reed.edu/~crandall/papers/attach01.pdf", acknowledgement = ack-nhfb, } @Article{Borwein:1998:DRDa, author = "Jonathan M. Borwein and David J. Broadhurst", title = "Determinations of rational {Dedekind}-zeta invariants of hyperbolic manifolds and {Feynman} knots and links", journal = "ArXiv High Energy Physics --- Theory e-prints", month = nov, year = "1998", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1998hep.th...11173B; http://arxiv.org/abs/hep-th/9811173; http://docserver.carma.newcastle.edu.au/213/", abstract = "We identify 998 closed hyperbolic 3-manifolds whose volumes are rationally related to Dedekind zeta values, with coprime integers $a$ and $b$ giving $ a / {\rm bvol}(M) = ( - D)^{3 / 2} / (2 \pi)^{2n - 4} (\zeta_K(2)) / (2 \zeta (2))$ for a manifold $M$ whose invariant trace field $K$ has a single complex place, discriminant $D$, degree $n$, and Dedekind zeta value $ \zeta_K(2)$. The largest numerator of the 998 invariants of Hodgson--Weeks manifolds is, astoundingly, $ a = 2^4 \times 23 \times 37 \times 691 = 9 \, 408 \, 656$; the largest denominator is merely $ b = 9$. We also study the rational invariant $ a / b$ for single-complex-place cusped manifolds, complementary to knots and links, both within and beyond the Hildebrand-Weeks census. Within the censi, we identify 152 distinct Dedekind zetas rationally related to volumes. Moreover, 91 census manifolds have volumes reducible to pairs of these zeta values. Motivated by studies of Feynman diagrams, we find a 10-component 24-crossing link in the case $ n = 2$ and $ D = - 20$. It is one of 5 alternating platonic links, the other 4 being quartic. For 8 of 10 quadratic fields distinguished by rational relations between Dedekind zeta values and volumes of Feynman orthoschemes, we find corresponding links. Feynman links with $ D = - 39$ and $ D = - 84$ are missing; we expect them to be as beautiful as the 8 drawn here. Dedekind-zeta invariants are obtained for knots from Feynman diagrams with up to 11 loops. We identify a sextic 18-crossing positive Feynman knot whose rational invariant, $ a / b = 26$, is 390 times that of the cubic 16-crossing non-alternating knot with maximal $ D_9$ symmetry. Our results are secure, numerically, yet appear very hard to prove by analysis.", acknowledgement = ack-nhfb, eprint = "hep-th/9811173", keywords = "High Energy Physics - Theory, Mathematics - Classical Analysis and ODEs, Mathematics - Geometric Topology, Mathematics - Number Theory", } @TechReport{Borwein:1998:DRDb, author = "Jonathan M. Borwein and David J. Broadhurst", title = "Determinations of rational {Dedekind}-zeta invariants of hyperbolic manifolds and {Feynman} knots and links", type = "CECM Preprint", number = "98:120", institution = inst-CECM, address = inst-CECM:adr, month = nov, year = "1998", bibdate = "Tue Aug 16 10:14:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "arXiv preprint hep-th/9811173.", URL = "http://docserver.carma.newcastle.edu.au/213/", acknowledgement = ack-nhfb, } @Article{Borwein:1998:GYI, author = "Jonathan M. Borwein", title = "A generalization of {Young}'s {$ l^p $} inequality", journal = j-MATH-INEQUAL-APPL, volume = "1", number = "1", pages = "131--136", year = "1998", DOI = "https://doi.org/10.7153/mia-01-11", ISSN = "1331-4343 (print), 1848-9966 (electronic)", ISSN-L = "1331-4343", MRclass = "90C25 (26B25 52A41)", MRnumber = "1492917", MRreviewer = "G{\'e}rard Lebourg", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/189/", acknowledgement = ack-nhfb, ajournal = "Math. Inequal. Appl.", fjournal = "Mathematical Inequalities \& Applications", journal-URL = "http://mia.ele-math.com/", } @Article{Borwein:1998:LCE, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Limiting convex examples for nonconvex subdifferential calculus", journal = j-J-CONVEX-ANAL, volume = "5", number = "2", pages = "221--235", year = "1998", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49J52 (26B05)", MRnumber = "1670340", MRreviewer = "Lionel Thibault", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/191/; http://www.heldermann-verlag.de/jca/jca05/j163.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:1998:MPW, author = "Jonathan Borwein", title = "Mathematical Publication on the {Web}", journal = j-SIGSAM, volume = "32", number = "1", pages = "4--7", month = mar, year = "1998", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/294833.294836", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/sigsam.bib", URL = "http://docserver.carma.newcastle.edu.au/190/; http://doi.acm.org/10.1145/294833.294836", acknowledgement = ack-nhfb, acmid = "294836", fjournal = "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)", issue = "123", issue-date = "March 1998", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", numpages = "4", } @Article{Borwein:1998:NCC, author = "Jonathan M. Borwein and Jay S. Treiman and Qiji J. Zhu", title = "Necessary conditions for constrained optimization problems with semicontinuous and continuous data", journal = j-TRANS-AM-MATH-SOC, volume = "350", number = "6", pages = "2409--2429", year = "1998", CODEN = "TAMTAM", DOI = "https://doi.org/10.1090/S0002-9947-98-01984-9", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "90C48 (49J52)", MRnumber = "1433112", MRreviewer = "B. Mordukhovich", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/116/", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Borwein:1998:NSE, author = "Jonathan M. Borwein and Warren B. Moors", title = "Null sets and essentially smooth {Lipschitz} functions", journal = j-SIAM-J-OPT, volume = "8", number = "2", pages = "309--323", year = "1998", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623496305213", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "49J52 (46N10 58C20)", MRnumber = "1618798", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/162/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:1998:NSP, author = "Jonathan M. Borwein and Alejandro Jofr{\'e}", title = "A nonconvex separation property in {Banach} spaces", journal = j-Z-OPER-RES, volume = "48", number = "2", pages = "169--179", year = "1998", CODEN = "ZMMRFZ", DOI = "https://doi.org/10.1007/s001860050019", ISSN = "1432-2994 (print), 1432-5217 (electronic)", ISSN-L = "1432-2994", MRclass = "46B20 (46A22 46N10 49J53 90C48)", MRnumber = "1662819", MRreviewer = "S. Simons", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Set-valued optimization.", URL = "http://docserver.carma.newcastle.edu.au/197/", acknowledgement = ack-nhfb, ajournal = "ZOR---Math. Methods Oper. Res.", fjournal = "Zeitschrift f{\"u}r Operations Research. Mathematical Methods of Operations Research", journal-URL = "http://link.springer.com/journal/186", xxjournal = "Math. Methods Oper. Res.", } @Book{Borwein:1998:PAS, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Pi and the {AGM}: A study in analytic number theory and computational complexity", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xvi + 414", year = "1998", ISBN = "0-471-83138-7, 0-471-31515-X (paperback)", ISBN-13 = "978-0-471-83138-9, 978-0-471-31515-5 (paperback)", MRclass = "11Y60 (11B65 68Q25)", MRnumber = "1641658", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Reprint of the 1987 original.", series = "Canadian Mathematical Society Series of Monographs and Advanced Texts, 4", acknowledgement = ack-nhfb, shorttableofcontents = "1. Complete Elliptic Integrals and the Arithmetic--Geometric Mean Iteration \\ 2. Theta Functions and the Arithmetic--Geometric Mean Iteration \\ 3. Jacobi's Triple-Product and Some Number Theoretic Applications \\ 4. Higher Order Transformations \\ 5. Modular Equations and Algebraic Approximations to $ \pi $ \\ 6. The Complexity of Algebraic Functions \\ 7. Algorithms for the Elementary Functions \\ 8. General Means and Iterations \\ 9. Some Additional Applications \\ 10. Other Approaches to the Elementary Functions \\ 11. Pi", subject = "Number theory; Computational complexity; Elliptic functions; Pi; Nombres, Th{\'e}orie des; Complexit{\'e} de calcul (Informatique); Fonctions elliptiques; Computational complexity; Elliptic functions; Number theory; Pi; Algebraische Funktion; Arithmetisch-geometrisches Mittel; Berechnung; Geschichte; Pi (Zahl); Nombres, Th{\'e}orie des; Complexit{\'e} de calcul (informatique); Fonctions elliptiques; Pi (le nombre); Arithmetisch-geometrisches Mittel; Algebraische Funktion; Pi (Zahl); Berechnung; Geschichte; moyenne arithm{\'e}tique; moyenne g{\'e}om{\'e}trique; it{\'e}ration; fonction elliptique; complexit{\'e} calcul; th{\'e}orie nombre", tableofcontents = "1 Complete Elliptic Integrals and the Arithmetic-Geometric Mean Iteration / 1 \\ 1.1 The Arithmetic--Geometric Mean Iteration / 1 \\ 1.2 Gauss's Derivation of the Fundamental Limit Formula / 5 \\ 1.3 Basic Properties of Complete Elliptic Integrals / 7 \\ 1.4 Quadratic Transformations and Iterations and a Third Proof of the Fundamental Limit Formula / 11 \\ 1.5 Jacobi's Differential Equation and a Fourth Proof of the Fundamental Limit Theorem / 18 \\ 1.6 Legendre's Relation / 23 \\ 1.7 Elliptic Functions / 28 \\ 2 Theta Functions and the Arithmetic--Geometric Mean Iteration / 33 \\ 2.1 A Theta Series Solution to the AGM / 33 \\ 2.2 Poisson Summation / 36 \\ 2.3 Poisson Summation and the AGM / 40 \\ 2.4 The Derived Iteration and Some Convergence Results / 44 \\ 2.5 Two Algorithms for 7T / 46 \\ 2.6 General Theta Functions / 52 \\ 2.7 The Landen Transformation / 57 \\ 3 Jacobi's Triple-Product and Some Number Theoretic Applications / 62 \\ 3.1 Jacobi's Triple-Product Identity / 62 \\ 3.2 Some Further Theta Function Identities / 67 \\ 3.3 A Combinatorial Approach to the Triple-Product Identity / 76 \\ 3.4 Bressoud's ``Easy Proof'' of the Rogers--Ramanujan Identities / 78 \\ 3.5 Some Number Theoretic Applications / 81 \\ 3.6 The Mellin Transform and the Zeta Function / 87 \\ 3.7 Evaluation of Sums of Reciprocals of Fibonacci Sequences / 91 \\ 4 Higher Order Transformations / 102 \\ 4.1 A First Approach to Higher Order Transformations / 102 \\ 4.2 An Elementary Transcendental Approach to Higher Order Transformations / 109 \\ 4.3 Elliptic Modular Functions / 112 \\ 4.4 The Modular Equations for $\lambda$ and $j$ / 119 \\ 4.5 The Modular Equation in $u$--$v$ Form / 126 \\ 4.6 The Multiplier / 136 \\ 4.7 Cubic Modular Identities / 142 \\ 5 Modular Equations and Algebraic Approximations to $ \pi $ / 152 \\ 5.1 Singular Values of the Second Kind / 152 \\ 5.2 Calculation of $\alpha$ / 155 \\ 5.3 Further Formulae for $\alpha$ / 164 \\ 5.4 Recursive Approximation to $ \pi $ / 169 \\ 5.5 Generalized Elliptic Integrals and Rational and Algebraic Series for $ 1 / \pi $ and $ 1 / K $ / 177 \\ 5.6 Other Approximations / 191 \\ 6 The Complexity of Algebraic Functions / 200 \\ 6.1 Complexity Concerns / 200 \\ 6.2 The Fast Fourier Transform (FFT) / 204 \\ 6.3 Fast Multiplication / 209 \\ 6.4 Newton's Method and the Complexity of Algebraic Functions / 212 \\ 7 Algorithms for the Elementary Functions / 219 \\ 7.1 $ \pi $ and Log / 219 \\ 7.2 Theta Function Algorithms for Log / 224 \\ 7.3 The Complexity of Elementary and Elliptic Functions / 226 \\ 8 General Means and Iterations / 230 \\ 8.1 Abstract Means / 230 \\ 8.2 Equivalence of Means / 239 \\ 8.3 Compound Means / 243 \\ 8.4 Convergence Rates and Some Examples / 249 \\ 8.5 Carlson's Integrals and More Examples 256 / 281 \\ 8.6 Series Expansions of Certain Means / 263 \\ 8.7 Multidimensional Means and Iterations / 266 \\ 8.8 Algebraic Iterations and Functional Relations / 273 \\ 9 Some Additional Applications / 281 \\ 9.1 Sums of Two Squares / 281 \\ 9.2 (Chemical) Lattice Sums / 288 \\ 9.3 Odd-Dimensional Sums and Benson's Formula / 301 \\ 9.4 The Quintuple-Product Identity / 306 \\ 9.5 Quintic and Septic Multipliers and Iterations / 309 \\ 10 Other Approaches to the Elementary Functions / 316 \\ 10.1 Classical Approximations / 316 \\ 10.2 Reduced Complexity Methods / 326 \\ 11 Pi / 337 \\ 11.1 On the History of the Calculation of $ \pi $ / 337 \\ 11.2 On the Transcendence of $ \pi $ / 347 \\ 11.3 Irrationality Measures / 362 \\ Bibliography / 387 \\ Symbol List / 396 \\ Index / 405", } @Unpublished{Borwein:1998:TAP, author = "Jonathan Borwein", title = "Talking about Pi", day = "20", month = jan, year = "1998", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", note = "The original URL is no longer found, but the archive URL worked on 26-Apr-2011.", acknowledgement = ack-nhfb, } @InProceedings{Marechal:1998:APR, author = "P. Marechal and D. Togane and A. Celler and J. M. Borwein", booktitle = "{1998 IEEE Nuclear Science Symposium. Conference Record. Toronto, ON, Canada, November 8--14, 1998}", title = "Assessment of the performance of reconstruction processes for computed tomography", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1353--1357", year = "1998", DOI = "https://doi.org/10.1109/NSSMIC.1998.774404", ISSN = "1082-3654", ISSN-L = "1082-3654", bibdate = "Fri Aug 12 11:41:45 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1529/", abstract = "This paper deals with the assessment of the performance of reconstruction methods for computed tomography, including filtered backprojection and `entropy-like' methods. For each of these methods, the influence of errors in the measured data on the reconstructed image is analyzed. A small perturbation of the data vector induces a perturbation of the reconstructed object which can be computed by means of the sensitivity matrix. Using appropriate matrix computation techniques, an upper bound on the size of the reconstruction error is determined, as well as the pattern of noise in the sinogram that will result in the largest reconstruction error. Simulations will illustrate our analysis and demonstrate its utility in the interpretation of computed images and in the selection of reconstruction parameters", acknowledgement = ack-nhfb, keywords = "Attenuation; computed tomography; Computed tomography; computerised tomography; Convolution; data vector; entropy-like methods; filtered backprojection; Image analysis; image reconstruction; Image reconstruction; image reconstruction processes; Integral equations; interpolation; inverse problems; Inverse problems; iterative methods; Mathematics; matrix computation techniques; maximum entropy methods; medical image processing; pattern of noise; performance assessment; positron emission tomography; Radon transforms; Radon-type inverse problem; reconstruction error size; reconstruction parameters selection; regularization scheme; sensitivity analysis; sensitivity matrix; singular value decomposition; sinogram; small perturbation; Transforms; upper bound; X-ray scattering", } @InProceedings{Bauschke:1999:COM, author = "Heinz H. Bauschke and Jonathan M. Borwein", editor = "J. Giles and B. Ninness", booktitle = "{Proceedings of the Centre for Mathematics and its Applications (Australian National University) National Symposium on Functional Analysis, Optimization and Applications, March 1998}", title = "Conical open mapping theorems and regularity", volume = "36", publisher = "????", address = "????", pages = "1--10", year = "1999", bibdate = "Mon Aug 15 14:33:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/208/", acknowledgement = ack-nhfb, } @Article{Bauschke:1999:EAD, author = "Heinz H. Bauschke and Dominikus Noll and Anna Celler and Jonathan M. Borwein", title = "An {EM} algorithm for dynamic {SPECT}", journal = j-IEEE-TRANS-MED-IMAG, volume = "18", number = "3", pages = "252--261", month = mar, year = "1999", CODEN = "ITMID4", DOI = "https://doi.org/10.1109/42.764899", ISSN = "0278-0062 (print), 1558-254x (electronic)", ISSN-L = "0278-0062", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ncbi.nlm.nih.gov/pubmed/10363703", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Medical Imaging", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=42", keywords = "Algorithms; arbitrary decaying activities; Cameras; compartmental modeling; Computed tomography; dynamic SPECT; EM algorithm; exponentials sum; Face detection; Head; Heuristic algorithms; Humans; Instruments; M step; medical diagnostic imaging; Models, Statistical; Nuclear medicine; nuclear medicine; numerical tests; Pharmaceuticals; physiological models; Positron emission tomography; Reproducibility of Results; single photon emission computed tomography; Single photon emission computed tomography; Tomography, Emission-Computed, Single-Photon; underlying probabilistic models", } @Article{Bauschke:1999:MMD, author = "Heinz H. Bauschke and Jonathan M. Borwein", title = "Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators", journal = j-PAC-J-MATH, volume = "189", number = "1", pages = "1--20", year = "1999", CODEN = "PJMAAI", DOI = "https://doi.org/10.2140/pjm.1999.189.1", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", MRclass = "47H05 (47B99 49J52)", MRnumber = "1687802", MRreviewer = "Pando Georgiev", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/180/", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Mathematics", journal-URL = "http://msp.org/pjm", } @Article{Bauschke:1999:SCH, author = "Heinz H. Bauschke and Jonathan M. Borwein and Wu Li", title = "Strong conical hull intersection property, bounded linear regularity, {Jameson}'s property {$ (G) $}, and error bounds in convex optimization", journal = j-MATH-PROG, volume = "86", number = "1, Ser. A", pages = "135--160", year = "1999", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s101070050083", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90C46 (41A29 90C31)", MRnumber = "1712477", MRreviewer = "Charles K. Chui", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/195/", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", remark = "CECM Research Report 98:107.", } @Book{Borowski:1999:DMa, author = "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein", title = "Dictionary of mathematics", publisher = "Unwin Hyman", address = "London, UK", pages = "660", year = "1999", ISBN = "0-261-67198-7", ISBN-13 = "978-0-261-67198-0", LCCN = "????", bibdate = "Tue Aug 16 09:03:32 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, subject = "Mathematics; Dictionaries", } @Book{Borowski:1999:DMb, author = "E. J. (Ephraim J.) Borowski and Jonathan M. Borwein", title = "Dictionary of mathematics", publisher = "HarperCollins", address = "London, UK", pages = "672", year = "1999", ISBN = "0-00-434347-6 (paperback)", ISBN-13 = "978-0-00-434347-1 (paperback)", LCCN = "????", bibdate = "Mon Oct 23 07:36:34 MDT 2017", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "This dictionary of mathematics contains over 9,000 definitions and 400 diagrams and covers subjects such as abstract analysis; number theory; topology; vectors; differential equations and more.", acknowledgement = ack-nhfb, remark = "Originally published in \cite{Borowski:1988:DM}.", subject = "Mathematics; Dictionaries; Mathematics.", } @Article{Borwein:1999:ESB, author = "Jonathan M. Borwein and Boris S. Mordukhovich and Yongheng Shao", title = "On the Equivalence of Some Basic Principles in Variational Analysis", journal = j-J-MATH-ANAL-APPL, volume = "229", number = "1", pages = "228--257", year = "1999", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.1998.6157", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "49J52 (46N10)", MRnumber = "1664320", MRreviewer = "Abderrahim Jourani", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/192/; http://www.sciencedirect.com/science/article/pii/S0022247X98961571", abstract = "The primary goal of this paper is to study relationships between certain basic principles of variational analysis and its applications to nonsmooth calculus and optimization. Considering a broad class of Banach spaces admitting smooth renorms with respect to some bornology, we establish an equivalence between useful versions of a smooth variational principle for lower semicontinuous functions, an extremal principle for nonconvex sets, and an enhanced fuzzy sum rule formulated in terms of viscosity normals and subgradients with controlled ranks. Further refinements of the equivalence result are obtained in the case of a Fr{\'e}chet differentiable norm. Based on the new enhanced sum rule, we provide a simplified proof for the refined sequential description of approximate normals and subgradients in smooth spaces.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "fuzzy calculus; generalized differentiation; Nonsmooth analysis; smooth Banach spaces; variational and extremal principles; viscosity normals and subdifferentials", } @Article{Borwein:1999:ETE, author = "Jonathan M. Borwein and Robert M. Corless", title = "Emerging tools for experimental mathematics", journal = j-AMER-MATH-MONTHLY, volume = "106", number = "10", pages = "889--909", year = "1999", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2589743", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "68W30 (00A05 11Yxx)", MRnumber = "1732501", MRreviewer = "Michael M. Dediu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/203/; http://www.jstor.org/stable/2589743", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", remark = "CECM Research Report 98:110.", } @Article{Borwein:1999:GSB, author = "Jonathan M. Borwein and Warren B. Moors and Xianfu Wang", title = "Generalized subdifferentials: a {Baire} categorical approach", journal = "C. R. Math. Acad. Sci. Soc. R. Can.", volume = "21", number = "4", pages = "132--138", year = "1999", ISSN = "0706-1994", MRclass = "49J52 (46G05 58C20)", MRnumber = "1728265", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/234/", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Math{\'e}matiques de l'Acad{\'e}mie des Sciences. La Soci{\'e}t{\'e} Royale du Canada. Mathematical Reports of the Academy of Science. The Royal Society of Canada", journal-URL = "https://mr.math.ca/article/", remark = "CECM Preprint 99:128. The journal web site has no online archives before volume 27 (2005).", } @InProceedings{Borwein:1999:ITD, author = "J. M. Borwein and T. Stanway", editor = "John Grant McGloughlin", booktitle = "{Canadian Mathematics Education Study Group (CMESG) Proceedings 1999 Annual Meeting}", title = "The impact of technology on the doing of mathematics", publisher = "Memorial University Press", address = "St. Johns, NL, Canada", pages = "3--6", year = "1999", bibdate = "Mon Aug 15 14:30:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/248/", acknowledgement = ack-nhfb, } @InCollection{Borwein:1999:MFA, author = "Jonathan M. Borwein and Qiji J. Zhu", editor = "F. H. Clarke and R. J. Stern", booktitle = "Nonlinear analysis, differential equations and control ({Montreal, QC, 1998})", title = "Multifunctional and functional analytic techniques in nonsmooth analysis", volume = "528", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "61--157", year = "1999", MRclass = "49J52 (26A16 26E25 46N10)", MRnumber = "1695006", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "NATO Sci. Ser. C Math. Phys. Sci.", URL = "http://docserver.carma.newcastle.edu.au/49/", acknowledgement = ack-nhfb, } @Article{Borwein:1999:PSS, author = "Jonathan M. Borwein and C. G. Pinner and David Bradley", title = "Problems and Solutions: Solutions: An Infinite Product: 10605", journal = j-AMER-MATH-MONTHLY, volume = "106", number = "2", pages = "173--174", year = "1999", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2589069", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1543419", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:1999:PSVa, author = "Jonathan M. Borwein and Jay S. Treiman and Qiji J. Zhu", title = "Partially smooth variational principles and applications", journal = j-NONLINEAR-ANAL, volume = "35", number = "8", pages = "1031--1059", year = "1999", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(98)00113-8", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49J53 (46T20 47H99)", MRnumber = "1707806", MRreviewer = "B. Mordukhovich", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/182/; http://www.sciencedirect.com/science/article/pii/S0362546X98001138", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Fuzzy sum rules; Mean value inequalities and partially smooth spaces; Smooth variational principle", } @Article{Borwein:1999:SRM, author = "Jonathan M. Borwein and Warren B. Moors and Yongheng Shao", title = "Subgradient representation of multifunctions", journal = j-J-AUSTRAL-MATH-SOC-SER-B, volume = "40", number = "3", pages = "301--313", month = jan, year = "1999", CODEN = "JAMMDU", DOI = "https://doi.org/10.1017/S0334270000010924", ISSN = "0334-2700", MRclass = "49J52 (47H04)", MRnumber = "1674589", MRreviewer = "Constantin Z{\u{a}}linescu", bibdate = "Fri Sep 30 10:53:26 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Volume in honour of B. Craven and B. Mond.", URL = "http://docserver.carma.newcastle.edu.au/184/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=3964380", acknowledgement = ack-nhfb, fjournal = "Australian Mathematical Society. Journal. Series B. Applied Mathematics", } @Article{Borwein:1999:SSC, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "A survey of subdifferential calculus with applications", journal = j-NONLINEAR-ANAL, volume = "38", number = "6", pages = "687--773", year = "1999", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(98)00142-4", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49J52 (46G05 46N10 49-02 49J53 58C05)", MRnumber = "1710152", MRreviewer = "Philip D. Loewen", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See addendum \cite{Borwein:2002:ASS}.", URL = "http://docserver.carma.newcastle.edu.au/199/; http://www.sciencedirect.com/science/article/pii/S0362546X98001424", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Coderivative calculus; Constrained optimization problems; Generalized gradients; Geometric subdifferential; Hamilton--Jacobi equations; Implicit function theorems; Limiting coderivatives; Limiting subdifferentials; Mean value inequalities; Mean value theorems; Metric regularity; Open mapping; Proximal subdifferential; Sensitivity; Smooth spaces; Subdifferential calculus; Viscosity solutions; Viscosity subdifferential", remark = "CECM Research Report 98:105.", } @Article{Borwein:1999:SVM, author = "Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lison{\v{e}}k", title = "Special Values of Multiple Polylogarithms", journal = "ArXiv Mathematics e-prints", month = oct, year = "1999", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1999math.....10045B; http://docserver.carma.newcastle.edu.au/200/", abstract = "Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics. More recently, we have been forced to consider multidimensional extensions encompassing the classical polylogarithm, Euler sums, and the Riemann zeta function. Here, we provide a general framework within which previously isolated results can now be properly understood. Applying the theory developed herein, we prove several previously conjectured evaluations, including an intriguing conjecture of Don Zagier.", acknowledgement = ack-nhfb, eprint = "math/9910045", keywords = "Mathematics - Classical Analysis and ODEs, Mathematics - Combinatorics, 40B05, 33E20", } @Article{Marechal:1999:CSA, author = "P. Marechal and D. Togane and A. Celler and J. M. Borwein", title = "Computation and stability analysis for regularized tomographic reconstructions", journal = j-IEEE-TRANS-NUCL-SCI, volume = "46", pages = "2177--2184", month = dec, year = "1999", CODEN = "IRNSAM", DOI = "https://doi.org/10.1109/23.819301", ISSN = "0018-9499 (print), 1558-1578 (electronic)", ISSN-L = "0018-9499", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/1999ITNS...46.2177M", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Nuclear Science", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23", } @TechReport{Borwein:19xx:ASW, author = "Jonathan Borwein and Lou Shitou", title = "Asymptotics of a Sequence of {Witt} Vectors", type = "Report", institution = "Department of Mathematics, Statistics and Computing Science, Dalhousie University", address = "Halifax, NS B3H 3J5, Canada", pages = "13", year = "19xx", bibdate = "Fri Nov 11 07:09:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "We provide asymptotic and order information about the Witt vectors and integers $ d_n $ appearing in $ \Prod_{n \geq 1} (1 / (1 + d_n t^n / n!)) = (1 - t) e^t $.", acknowledgement = ack-nhfb, remark = "Undated report. The second author also appears in journal databases with family name Lou, and personal name Shi-Tuo.", } @TechReport{Borwein:19xx:CFF, author = "J. M. Borwein and P. B. Borwein", title = "On the Complexity of Familiar Functions and Numbers", type = "Report", institution = "Department of Mathematics, Statistics and Computing Science, Dalhousie University", address = "Halifax, NS B3H 3J5, Canada", pages = "30", year = "19xx", MRclass = "6BC25, 41A30, 1OA30", bibdate = "Fri Nov 11 07:08:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "This paper examines low-complexity approximations to familiar functions and numbers. The intent is to suggest that a taxonomy of such functions and numbers based on their computational complexity is possible. A central theme is that traditional methods of approximation are often very far from optimal, while good or optimal methods are often very far from obvious For most functions provably optimal methods are not known, however the gap between what is known and what is possible is often small. A considerable number of open problems are posed and a number of related examples are presented.", acknowledgement = ack-nhfb, keywords = "$\pi$; algebraic approximation; computation of digits; Elementary functions; low complexity approximation; open problems; rational approximation; reduced complexity approximation", remark = "Undated report", } @Unpublished{Borwein:19xx:EIG, author = "Jonathan M. Borwein", title = "Elliptic Integrals and the {Gauss--Salamin} formula for $ \pi $", pages = "16", year = "19xx", bibdate = "Mon Nov 07 07:04:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Unpublished hand-written lecture slides at Dalhousie University. The slides are undated, and the 10 references on the final slides include a reference to E. Salamin (1976) and to P. Backmann's 1977 book \booktitle{A History of Pi}.", abstract = "$ \pi $ was first used by W. Jones (1703) as \emph{pi} (short for periphery). Euler (1733) first popularized it as a replacement for $p$ or $c$.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:19xx:EMI, author = "Jonathan M. Borwein and Peter B. Borwein and Roland Girgensohn and S. Parnes", title = "Experimental mathematical investigation of decimal and continued fraction expansions of select constants", year = "19xx", bibdate = "Thu Aug 11 09:30:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Unpublished.", acknowledgement = ack-nhfb, remark = "Cited in \cite{Octavio:1996:IT}.", } @TechReport{Borwein:19xx:MI, author = "J. M. Borwein and P. B. Borwein", title = "On the Mean Iteration $ (a, b) \leftarrow ((a + 3 b) / 4, (\sqrt {ab} + b) / 2) $", type = "Report", institution = "Department of Mathematics, Statistics and Computing Science, Dalhousie University", address = "Halifax, NS B3H 3J5, Canada", pages = "39", year = "19xx", bibdate = "Fri Nov 11 07:10:57 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "The iterative process $ a_{n + 1} = (a_n + 3 b_n) / 4 $, $ b_{n + 1} = (\sqrt {a_n b_n} + b_n) / 2 $ is studied in detail. The limit of of this quadratically converging process is explicitly identified, as are the uniformizing parameters. The role of symbolic computation, in discovering these non-trivial identifications, is highlighted.", acknowledgement = ack-nhfb, remark = "Undated report", } @TechReport{Borwein:19xx:PCT, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Pi and its computation: a twenty-two hundred year quest continues: why it is now possible to calculate a billion digits of pi", type = "Report", institution = "Dalhousie University", address = "Halifax, NS, Canada", pages = "21", year = "19xx", bibdate = "Mon Nov 07 07:01:20 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Undated typeset manuscript intended for \booktitle{Scientific American}, but never published. The latest reference is to a 1987 book.", abstract = "Classical mathematics of Gauss, Ramanujan, and others combines the modern theory of algorithms to dramatically improve our understanding of this ancient problem.", acknowledgement = ack-nhfb, remark = "This paper must have been written between 1987 and 1997, and before the discovery of the BBP algorithm \cite{Bailey:1997:RCV}, because the last paragraph says: ``It is also reasonable to speculate that computing the $n$-th digit of $ \pi $ is not very much easier than computing all the first $n$ digits. We think it very probable that computing the $n$-th digit of $ \pi $ cannot be of a lower order than multiplication. As a consequence, we conjecture that no one will ever determine the $ 10^{1000}$-th decimal digit of $ \pi $.", } @TechReport{Borwein:19xx:WMS, author = "J. M. Borwein and B. Richmond", title = "When is a matrix a square?", type = "Research report", number = "5", institution = "Department of Mathematics, Dalhousie University and Department of Combinatorics and Optimization, University of Waterloo", address = "Halifax, NS, Canada and Waterloo, ON, Canada", pages = "22", year = "19xx", bibdate = "Mon Nov 07 17:45:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "Necessary and sufficient conditions for an arbitrary $ n \times n $ matrix to possess a $k$-th root are given in terms of the associated Jordan form. These characterizations are used to give asymptotic estimates for the relative frequency of nilpotent matrices possessing square roots. The estimates are entirely combinatorial in genesis.", acknowledgement = ack-nhfb, keywords = "asymptotic formulae; Jordan forms; partition functions; square roots", remark = "There are only 5 references on the last page, the most recent a book from 1976.", } @Article{Bauschke:2000:BLR, author = "Heinz H. Bauschke and Jonathan M. Borwein and Paul Tseng", title = "Bounded linear regularity, strong {CHIP}, and {CHIP} are distinct properties", journal = j-J-CONVEX-ANAL, volume = "7", number = "2", pages = "395--412", year = "2000", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "90C48 (41A65 49J53 52A15 52A20)", MRnumber = "1811687", MRreviewer = "Wu Li", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.heldermann.de/JCA/JCA07/JCA072/jca07020.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", remark = "CECM Preprint 98:112.", } @Book{Berggren:2000:PSB, author = "Lennart Berggren and Jonathan Borwein and Peter Borwein", title = "Pi: a source book", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xx + 736", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-3240-5", ISBN = "0-387-98946-3 (hardcover)", ISBN-13 = "978-0-387-98946-4 (hardcover)", LCCN = "QA484 .P5 2000", MRclass = "11-00 (01A05 01A75 11-03)", MRnumber = "1746004", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/mathcw.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", acknowledgement = ack-nhfb, tableofcontents = "Preface \\ Acknowledgements \\ Introduction \\ The Rhind Mathematical Papyrus-Problem 50 \\ Engles / Quadrature of the Circle in Ancient Egypt \\ Archimedes / Measurement of a Circle \\ Phillips / Archimedes the Numerical Analyst \\ Lam \& Ang / Circle Measurements in Ancient China \\ The Banu Musa: The Measurement of Plane and Solid Figures \\ Madhava's / The Power Series for Arctan and Pi \\ Hope-Jones / Ludolph van Ceulen \\ Vi{\`e}te / Variorum de Revus Mathematicis Reponsorum Liber VII \\ Wallis / Computation of Pi by Successive Interpolations \\ Wallis / Arithmetica Infinitorum \\ Huygens / De Circuli Magnitudine Inventa \\ Gregory / Correspondence with John Collins \\ Jones / The First Use of Pi for the Circle Ratio \\ Newton / Of The Method of Fluxions and Infinite Series \\ Euler / Chapter 10 of Introduction to Analysis of the Infinite \\ Lambert / M{\'e}moire Sur Quelques Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s Transcendentes Circulaires et Logarithmiques \\ Lambert / Irrationality of Pi \\ Shanks / Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals \\ Hermite / Sur La Fonction Exponentielle", } @InProceedings{Borwein:2000:AGM, author = "J. M. Borwein and P. B. Borwein", booktitle = "Pi: A Source Book", title = "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-3240-5_56", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_56", acknowledgement = ack-nhfb, } @Article{Borwein:2000:AIR, author = "Jonathan M. Borwein and Petr Lison{\v{e}}k", title = "Applications of integer relation algorithms", journal = j-DISCRETE-MATH, volume = "217", number = "1--3", pages = "65--82", year = "2000", CODEN = "DSMHA4", DOI = "https://doi.org/10.1016/S0012-365X(99)00256-3", ISSN = "0012-365x (print), 1872-681x (electronic)", ISSN-L = "0012-365X", MRclass = "65Y15 (68W99)", MRnumber = "1766260", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Formal power series and algebraic combinatorics (Vienna, 1997).", URL = "http://docserver.carma.newcastle.edu.au/198/; http://www.sciencedirect.com/science/article/pii/S0012365X99002563", abstract = "Let a be a vector of real numbers. By an integer relation for a we mean a non-zero integer vector c such that caT=0. We discuss the algorithms for finding such integer relations from the user's point of view, by presenting examples of their applications and by reviewing the available software implementations.", acknowledgement = ack-nhfb, fjournal = "Discrete Mathematics", remark = "CECM Research Report 97:104.", } @Book{Borwein:2000:CAN, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Convex Analysis and Nonlinear Optimization", publisher = pub-SV, address = pub-SV:adr, pages = "x + 273", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-9859-3", ISBN = "0-387-98940-4", ISBN-13 = "978-0-387-98940-2", MRclass = "49-01 (46N10 47N10 49-02 49J53 90-01)", MRnumber = "1757448", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Theory and examples.", series = "CMS Books in Mathematics/Ouvrages de Math{\'e}matiques de la SMC, 3", abstract = "This book is a concise account of convex analysis, its applications and extensions, for a broad audience. Blurring as it does the distinctions between mathematical optimization and modern analysis, the elegant language of convexity and duality is indispensable both in computational optimization and for understanding variational properties of functions and multifunctions. Primarily aimed at first-year graduate students, the text consists of short, self-contained sections, each followed by an extensive set of exercises, many of which are guided. The book is thus appropriate either as a class text or for self-study.", acknowledgement = ack-nhfb, tableofcontents = "1: Background \\ 1.1: Euclidean Spaces \\ 1.2: Symmetric Matrices \\ 2: Inequality Constraints \\ 2.1: Optimality Conditions \\ 2.2: Theorems of the Alternative \\ 2.3: Max-functions \\ 3: Fenchel Duality \\ 3.1: Subgradients and Convex Functions \\ 3.2: The Value Function \\ 3.3: The Fenchel Conjugate \\ 4: Convex Analysis \\ 4.1: Continuity of Convex Functions \\ 4.2: Fenchel Biconjugation \\ 4.3: Lagrangian Duality \\ 5: Special Cases \\ 5.1: Polyhedral Convex Sets and Functions \\ 5.2: Functions of Eigenvalues \\ 5.3: Duality for Linear and Semidefinite Programming \\ 5.4: Convex Process Duality \\ 6: Nonsmooth Optimization \\ 6.1: Generalized Derivatives \\ 6.2: Regularity and Strict Differentiability \\ 6.3: Tangent Cones", } @Article{Borwein:2000:CBS, author = "Jonathan M. Borwein and David J. Broadhurst and Joel Kamnitzer", title = "Central Binomial Sums, Multiple {Clausen} Values and Zeta Values", journal = "ArXiv High Energy Physics --- Theory e-prints", month = apr, year = "2000", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2000hep.th....4153B; http://docserver.carma.newcastle.edu.au/243/", abstract = "We find and prove relationships between Riemann zeta values and central binomial sums. We also investigate alternating binomial sums (also called Ap{\'e}ry sums). The study of non-alternating sums leads to an investigation of different types of sums which we call multiple Clausen values. The study of alternating sums leads to a tower of experimental results involving polylogarithms in the golden ratio. In the non-alternating case, there is a strong connection to polylogarithms of the sixth root of unity, encountered in the 3-loop Feynman diagrams of \url{hep-th/9803091} and subsequently in \url{hep-ph/9910223}, \url{hep-ph/9910224}, \url{cond-mat/9911452} and \url{hep-th/0004010}.", acknowledgement = ack-nhfb, eprint = "hep-th/0004153", keywords = "High Energy Physics - Theory, Mathematics - Classical Analysis and ODEs", } @Article{Borwein:2000:CDA, author = "Jonathan M. Borwein and Pierre Mar{\'e}chal and David Naugler", title = "A convex dual approach to the computation of {NMR} complex spectra", journal = "Math. Methods Oper. Res.", volume = "51", number = "1", pages = "91--102", year = "2000", DOI = "https://doi.org/10.1007/s001860050004", ISSN = "1432-2994 (print), 1432-5217 (electronic)", ISSN-L = "1432-2994", MRclass = "90C30", MRnumber = "1742398", MRreviewer = "Massimo Pappalardo", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/207/", acknowledgement = ack-nhfb, fjournal = "Mathematical Methods of Operations Research", remark = "CECM Research Report 98:114.", } @Article{Borwein:2000:CEL, author = "Jonathan Borwein and Yves Lucet and Boris Mordukhovich", title = "Compactly epi-{Lipschitzian} convex sets and functions in normed spaces", journal = j-J-CONVEX-ANAL, volume = "7", number = "2", pages = "375--393", year = "2000", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49J53 (46B20 46N10 90C48)", MRnumber = "1811686", MRreviewer = "Abderrahim Jourani", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/210/; http://www.heldermann.de/JCA/JCA07/JCA072/jca07019.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", remark = "CECM Preprint 98:113.", } @Article{Borwein:2000:CSF, author = "Jonathan M. Borwein and John Read and Adrian S. Lewis and Qiji Zhu", title = "Convex spectral functions of compact operators", journal = j-J-NONLINEAR-CONVEX-ANAL, volume = "1", number = "1", pages = "17--35", year = "2000", ISSN = "1345-4773 (print), 1880-5221 (electronic)", ISSN-L = "1345-4773", MRclass = "49N15 (47N10 49J52 90C25)", MRnumber = "1751726", MRreviewer = "Mihai Turinici", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ybook.co.jp/online2/jncav1.html", acknowledgement = ack-nhfb, fjournal = "Journal of Nonlinear and Convex Analysis. An International Journal", journal-URL = "http://www.ybook.co.jp/jnca.html", remark = "CECM Preprint 99:130.", xxauthor = "Jon Borwein and Adrian Lewis and John Read and Qiji Zhu", } @Article{Borwein:2000:CSR, author = "Jonathan M. Borwein and David M. Bradley and Richard E. Crandall", title = "Computational strategies for the {Riemann} zeta function", journal = j-J-COMPUT-APPL-MATH, volume = "121", number = "1--2", pages = "247--296", month = sep, year = "2000", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/S0377-0427(00)00336-8", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "11M06 (11Y35 33F05)", MRnumber = "1780051", MRreviewer = "Cem Y. Y{\i}ld{\i}r{\i}m", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Numerical analysis in the 20th century, Vol. I, Approximation theory.", URL = "http://adsabs.harvard.edu/abs/2000JCoAM.121..247B; http://docserver.carma.newcastle.edu.au/211/; http://www.sciencedirect.com/science/article/pii/S0377042700003368", abstract = "We provide a compendium of evaluation methods for the Riemann zeta function, presenting formulae ranging from historical attempts to recently found convergent series to curious oddities old and new. We concentrate primarily on practical computational issues, such issues depending on the domain of the argument, the desired speed of computation, and the incidence of what we call ``value recycling''.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", remark = "CECM Preprint 98:118.", } @Article{Borwein:2000:LFM, author = "Jonathan M. Borwein and Xianfu Wang", title = "{Lipschitz} functions with maximal {Clarke} subdifferentials are generic", journal = j-PROC-AM-MATH-SOC, volume = "128", number = "11", pages = "3221--3229", year = "2000", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-00-05914-1", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "49J52 (26B25 58C20)", MRnumber = "1777577", MRreviewer = "Jean-No{\"e}l Corvellec", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/206/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @InProceedings{Borwein:2000:NCMa, author = "J. M. Borwein and T. Stanway", editor = "Bruce Cload and Tom Jenkyns", booktitle = "{Proceedings of the Conference on Technology in Mathematics Education at the Secondary and Tertiary Levels, June 2--4, 1999 at Brock University}", title = "Numerical and computational mathematics (at the undergraduate level)", publisher = "Brock University Press", address = "St. Catharines, ON, L2S 3A1 Canada", pages = "20--37", year = "2000", bibdate = "Mon Aug 15 14:24:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/246/", acknowledgement = ack-nhfb, remark = "Also appeared in Cubo.", } @InProceedings{Borwein:2000:PEN, author = "J. M. Borwein and P. B. Borwein and K. Dilcher", booktitle = "Pi: A Source Book", title = "Pi, {Euler} Numbers, and Asymptotic Expansions", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-3240-5_65", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1583/; http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_65", acknowledgement = ack-nhfb, } @Article{Borwein:2000:R, author = "Jonathan Borwein and Kwok-Kwong Stephen Choi", title = "On the representations of $ x y + y z + z x $", journal = j-EXP-MATH, volume = "9", number = "1", pages = "153--158", year = "2000", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2000.10504642", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11D85", MRnumber = "1758806", MRreviewer = "Mao Hua Le", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/212/; http://projecteuclid.org/euclid.em/1046889597", abstract = "We show that there are at most 19 integers that are not of the form $ x y + y z + x z $ with $ x, y, z \geq 1 $. Eighteen of them are small and easily found. The remaining possibility must be greater than $ 10^{11} $ and cannot occur if we assume the Generalized Riemann Hypothesis.", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", remark = "CECM Preprint 98:119.", } @InProceedings{Borwein:2000:RME, author = "J. M. Borwein and P. B. Borwein and D. H. Bailey", booktitle = "Pi: A Source Book", title = "{Ramanujan}, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi", publisher = pub-SV, address = pub-SV:adr, pages = "623--641", year = "2000", DOI = "https://doi.org/10.1007/978-1-4757-2736-4_64; https://doi.org/10.1007/978-1-4757-3240-5_64", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1587/; http://link.springer.com/chapter/10.1007/978-1-4757-2736-4_64; http://link.springer.com/chapter/10.1007/978-1-4757-3240-5_64", acknowledgement = ack-nhfb, } @Article{Borwein:2000:SDI, author = "Jonathan M. Borwein and Warren B. Moors", title = "Separable determination of integrability and minimality of the {Clarke} subdifferential mapping", journal = j-PROC-AM-MATH-SOC, volume = "128", number = "1", pages = "215--221", month = jan, year = "2000", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-99-05001-7", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "49J52 (46N10 58C20)", MRnumber = "1622793", MRreviewer = "Lionel Thibault", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/196/; http://www.jstor.org/stable/119403", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", remark = "CECM Research Report 97:102.", } @Article{Borwein:2000:SM, author = "D. Borwein and J. M. Borwein and P. Mar{\'e}chal", title = "Surprise maximization", journal = j-AMER-MATH-MONTHLY, volume = "107", number = "6", pages = "517--527", month = jun # "\slash " # jul, year = "2000", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2589347", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "00A08 (03B48 90C90)", MRnumber = "1767060", MRreviewer = "S. Kutateladze", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/209/", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", remark = "CECM Preprint 98:116.", } @Article{Theodorescu:2000:PSS, author = "Radu Theodorescu and Jonathan M. Borwein", title = "Problems and Solutions: Solutions: Moments of the {Poisson} Distribution: 10738", journal = j-AMER-MATH-MONTHLY, volume = "107", number = "7", pages = "659--659", month = aug # "\slash " # sep, year = "2000", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2589135", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1543703", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2589135", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Bailey:2001:EMR, author = "David H. Bailey and Jonathan M. Borwein", booktitle = "Mathematics unlimited---2001 and beyond", title = "Experimental mathematics: recent developments and future outlook", publisher = pub-SV, address = pub-SV:adr, pages = "51--66", year = "2001", MRclass = "00A99", MRnumber = "1852153", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/250/", acknowledgement = ack-nhfb, remark = "CECM Preprint 99:143.", } @Article{Bauschke:2001:ESE, author = "Heinz H. Bauschke and Jonathan M. Borwein and Patrick L. Combettes", title = "Essential smoothness, essential strict convexity, and {Legendre} functions in {Banach} spaces", journal = j-COMMUN-CONTEMP-MATH, volume = "3", number = "4", pages = "615--647", year = "2001", DOI = "https://doi.org/10.1142/S0219199701000524", ISSN = "0219-1997 (print), 1793-6683 (electronic)", MRclass = "49J53 (46G05 46N10)", MRnumber = "1869107", MRreviewer = "S. Simons", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/232/", acknowledgement = ack-nhfb, fjournal = "Communications in Contemporary Mathematics", journal-URL = "http://www.worldscientific.com/worldscinet/ccm", remark = "CECM Preprint 00:156.", } @InProceedings{Bauschke:2001:JSC, author = "Heinz H. Bauschke and Jonathan M. Borwein", editor = "Dan Butnariu and Yair Censor and Simeon Reich", booktitle = "Inherently Parallel Algorithms in Feasibility and Optimization and their Applications ({Haifa}, 2000)", title = "Joint and separate convexity of the {Bregman} distance", volume = "8", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "23--36", year = "2001", DOI = "https://doi.org/10.1016/S1570-579X(01)80004-5", ISSN = "1570-579X (print), 2212-1145 (electronic)", ISSN-L = "1570-579X", MRclass = "90C48 (49J53 65J05 90C30)", MRnumber = "1853214", MRreviewer = "Simeon Reich", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Studies in Computational Mathematics", URL = "http://docserver.carma.newcastle.edu.au/227/; http://www.sciencedirect.com/science/article/pii/S1570579X01800045", abstract = "Algorithms involving Bregman projections for solving optimization problems have been receiving much attention lately. Several of these methods rely crucially on the joint convexity of the Bregman distance. In this note, we study joint and separate convexity of Bregman distances. To bring out the main ideas more clearly, we consider first functions defined on an open interval. Our main result states that the Bregman distance of a given function is jointly convex if and only if the reciprocal of its second derivative is concave. We observe that Bregman distances induced by the two most popular choices --- the energy and the Boltzmann--Shannon entropy --- are limiting cases in a profound sense. This result is generalized by weakening assumptions on differentiability and strict convexity. We then consider general, not necessarily separable, convex functions. The characterization of joint convexity has a natural and beautiful analog. Finally, we discuss spectral functions, where the situation is less clear. Throughout, we provide numerous examples to illustrate our results.", acknowledgement = ack-nhfb, keywords = ":Bregman distance; convex function; joint convexity; separate convexity", } @Article{Borwein:2001:CBS, author = "Jonathan Michael Borwein and David J. Broadhurst and Joel Kamnitzer", title = "Central binomial sums, multiple {Clausen} values, and zeta values", journal = j-EXP-MATH, volume = "10", number = "1", pages = "25--34", year = "2001", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2001.10504426", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11G55 (05A10 11M06 33B99)", MRnumber = "1821569", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://arxiv.org/abs/hep-th/0004153; http://docserver.carma.newcastle.edu.au/243/; http://projecteuclid.org/euclid.em/999188418", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Borwein:2001:CFL, author = "Jonathan M. Borwein and Jon D. Vanderwerff", title = "Convex functions of {Legendre} type in general {Banach} spaces", journal = j-J-CONVEX-ANAL, volume = "8", number = "2", pages = "569--581", year = "2001", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "46G99 (46N10 49J50)", MRnumber = "1915959", MRreviewer = "A. B. N{\'e}meth", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/228/; http://www.heldermann.de/JCA/JCA08/JCA082/jca08030.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", remark = "CECM Preprint 00:151.", } @Article{Borwein:2001:CMCa, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Challenges in Mathematical Computing", journal = j-COMPUT-SCI-ENG, volume = "3", number = "3", pages = "48--53", month = may # "\slash " # jun, year = "2001", CODEN = "CSENFA", DOI = "https://doi.org/10.1109/5992.919266", ISSN = "1521-9615 (print), 1558-366X (electronic)", ISSN-L = "1521-9615", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.computer.org/cse/cs1999; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/computscieng.bib", URL = "http://dlib.computer.org/cs/books/cs2001/pdf/c3048.pdf; http://docserver.carma.newcastle.edu.au/135/; http://www.computer.org/cse/cs1999c3048abs.htm", acknowledgement = ack-nhfb, fjournal = "Computing in Science and Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", keywords = "Algebra; computational complexity; Computer architecture; Computer networks; computer-assisted insight generation; Databases; Encyclopedias; grand-challenge problems; HTML; Java; mathematical algorithmic questions; mathematical computing; mathematical platforms; Mathematics; mathematics computing; NP-hard questions; Packaging; Statistics; symbol manipulation", } @InCollection{Borwein:2001:CSF, author = "Jonathan M. Borwein and Adrian S. Lewis and Qiji J. Zhu", booktitle = "Optimization and related topics ({Ballarat}/{Melbourne}, 1999)", title = "Convex spectral functions of compact operators. {II}. {Lower} semicontinuity and rearrangement invariance", volume = "47", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "179--196", year = "2001", DOI = "https://doi.org/10.1007/978-1-4757-6099-6_12", MRclass = "49N15 (47A10 47B10 90C25)", MRnumber = "1893622", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Appl. Optim.", URL = "http://docserver.carma.newcastle.edu.au/251/", acknowledgement = ack-nhfb, } @Article{Borwein:2001:DIS, author = "J. M. Borwein and S. P. Fitzpatrick", title = "Duality inequalities and sandwiched functions", journal = j-NONLINEAR-ANAL, volume = "46", number = "3", pages = "365--380", year = "2001", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(00)00129-2", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49J53 (49N15 90C46)", MRnumber = "1851858", MRreviewer = "Roberto Lucchetti", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/204/; http://www.sciencedirect.com/science/article/pii/S0362546X00001292", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Ekeland variational principle; Fenchel duality; Mean-value inequalities; Nonconvex separation; Sandwich theorem; Schauder fixed-point theorem", remark = "CECM Research Report 98:111.", } @Article{Borwein:2001:EM, author = "Jonathan M. Borwein", title = "Experimental Mathematics", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "28", number = "??", pages = "77--80", month = "????", year = "2001", DOI = "", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", bibdate = "Fri Aug 12 11:12:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1527/", acknowledgement = ack-nhfb, ajournal = "Aust. Math. Soc. Gaz.", fjournal = "Australian Mathematical Society Gazette", journal-URL = "http://www.austms.org.au/gazette", } @Article{Borwein:2001:GSB, author = "Jonathan M. Borwein and Warren B. Moors and Xianfu Wang", title = "Generalized subdifferentials: a {Baire} categorical approach", journal = j-TRANS-AM-MATH-SOC, volume = "353", number = "10", pages = "3875--3893", year = "2001", CODEN = "TAMTAM", DOI = "https://doi.org/10.1090/S0002-9947-01-02820-3", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "49J52 (46G05 58C20)", MRnumber = "1837212", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/234/", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", remark = "CECM Preprint 99:127.", } @Article{Borwein:2001:RCS, author = "D. Borwein and J. Borwein and G. Fee and R. Girgensohn", title = "Refined convexity and special cases of the {Blaschke--Santalo} inequality", journal = j-MATH-INEQUAL-APPL, volume = "4", number = "4", pages = "631--638", year = "2001", DOI = "https://doi.org/10.7153/mia-04-56", ISSN = "1331-4343 (print), 1848-9966 (electronic)", ISSN-L = "1331-4343", MRclass = "52A38 (26B25 52A40)", MRnumber = "1859668", MRreviewer = "Beifang Chen", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/222/", acknowledgement = ack-nhfb, ajournal = "Math. Inequal. Appl.", fjournal = "Mathematical Inequalities \& Applications", journal-URL = "http://mia.ele-math.com/", remark = "CECM Preprint 00:146.", } @Article{Borwein:2001:RGC, author = "J. M. Borwein and M. Fabian and I. Kortezov and P. D. Loewen", title = "The range of the gradient of a continuously differentiable bump", journal = j-J-NONLINEAR-CONVEX-ANAL, volume = "2", number = "1", pages = "1--19", year = "2001", ISSN = "1345-4773 (print), 1880-5221 (electronic)", ISSN-L = "1345-4773", MRclass = "58C20 (46G05 49J53)", MRnumber = "1828155", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue for Professor Ky Fan.", URL = "http://docserver.carma.newcastle.edu.au/231/; http://www.ybook.co.jp/online2/opjnca/vol2/p1.html", acknowledgement = ack-nhfb, fjournal = "Journal of Nonlinear and Convex Analysis. An International Journal", journal-URL = "http://www.ybook.co.jp/jnca.html", } @InCollection{Borwein:2001:RP, author = "Jonathan M. Borwein and Peter B. Borwein", title = "{Ramanujan} and pi", crossref = "Berndt:2001:RES", pages = "187--199", year = "2001", MRclass = "11-03 (01A70)", MRnumber = "1862751", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Reprint of \cite{Borwein:1988:RP}.", series = "Hist. Math.", URL = "http://docserver.carma.newcastle.edu.au/1379/", acknowledgement = ack-nhfb, } @Article{Borwein:2001:SGR, author = "Jonathan M. Borwein and Ivaylo Kortezov", title = "Some generic results on nonattaining functionals", journal = j-SET-VALUED-ANAL, volume = "9", number = "1--2", pages = "35--47", year = "2001", CODEN = "SVANEG", DOI = "https://doi.org/10.1023/A:1011246414064", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "46N10 (49J53 54E52)", MRnumber = "1845933", MRreviewer = "Gargi Chakraborty", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Wellposedness in optimization and related topics (Gargnano, 1999).", URL = "http://docserver.carma.newcastle.edu.au/221/", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Borwein:2001:SRP, author = "David Borwein and Jonathan M. Borwein", title = "Some remarkable properties of sinc and related integrals", journal = j-RAMANUJAN-J, volume = "5", number = "1", pages = "73--89", year = "2001", CODEN = "RAJOF9", DOI = "https://doi.org/10.1023/A:1011497229317", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "42A38 (26D15 40A05 41A55)", MRnumber = "1829810", MRreviewer = "Philip Heywood", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/249/", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @Article{Borwein:2001:STC, author = "J. M. Borwein and X. Wang", title = "Subdifferentiability of typical continuous functions", journal = "Nonlinear Analysis Forum", volume = "6", number = "1", pages = "49--58", year = "2001", ISSN = "1226-7228", MRclass = "49J52 (26A24 46G05 46T20)", MRnumber = "1844467", MRreviewer = "Yan Gao", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear analysis and its applications (St. John's, NF, 1999).", URL = "http://docserver.carma.newcastle.edu.au/241/; http://prof.ks.ac.kr/bslee/naf/table/vol-0601/v0601-05a.PDF", acknowledgement = ack-nhfb, ajournal = "Nonlinear Anal. Forum", fjournal = "Nonlinear Analysis Forum. An International Journal", journal-URL = "http://prof.ks.ac.kr/bslee/naf/", } @Article{Borwein:2001:SVM, author = "Jonathan M. Borwein and David M. Bradley and David J. Broadhurst and Petr Lison{\v{e}}k", title = "Special values of multiple polylogarithms", journal = j-TRANS-AM-MATH-SOC, volume = "353", number = "3", pages = "907--941", month = mar, year = "2001", CODEN = "TAMTAM", DOI = "https://doi.org/10.1090/S0002-9947-00-02616-7", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", MRclass = "33B30 (11G55 11Y60 33E20)", MRnumber = "1709772", MRreviewer = "P. D. F. Ion", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/221840", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Article{Lindqvist:2001:PSS, author = "Peter Lindqvist and Jaak Peetre and Jonathan M. Borwein", title = "Problems and Solutions: Solutions: Generalized Trigonometric Functions: 10744", journal = j-AMER-MATH-MONTHLY, volume = "108", number = "5", pages = "473--474", year = "2001", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2695813", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRnumber = "1544137", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Book{Borowski:2002:MCD, author = "Ephraim J. Borowski and Jonathan M. Borwein", title = "Mathematics: {Collins} dictionary", publisher = "Collins", address = "London, UK", edition = "Second", pages = "633", year = "2002", ISBN = "0-00-710295-X", ISBN-13 = "978-0-00-710295-2", LCCN = "????", bibdate = "Tue Aug 16 09:04:49 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, subject = "Mathematics; Dictionaries; Mathematik; W{\"o}rterbuch.; Mathematics.", } @Article{Borwein:2002:ANB, author = "J. M. Borwein and M. Jim{\'e}nez-Sevilla and J. P. Moreno", title = "Antiproximinal norms in {Banach} spaces", journal = j-J-APPROX-THEORY, volume = "114", number = "1", pages = "57--69", year = "2002", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1006/jath.2001.3636", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "46B20 (41A65)", MRnumber = "1880294", MRreviewer = "Ioan {\c{S}}erb", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/233/; http://www.sciencedirect.com/science/article/pii/S0021904501936366", abstract = "We prove that every Banach space containing a complemented copy of c0 has an antiproximinal body for a suitable norm. If, in addition, the space is separable, there is a pair of antiproximinal norms. In particular, in a separable polyhedral space X, the set of all (equivalent) norms on X having an isomorphic antiproximinal norm is dense. In contrast, it is shown that there are no antiproximinal norms in Banach spaces with the convex point of continuity property (CPCP). Other questions related to the existence of antiproximinal bodies are also discussed.", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", received = "CECM Preprint 00:157.", } @Article{Borwein:2002:ASS, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Addendum: ``{A survey of subdifferential calculus with applications'' [Nonlinear Anal.\ {\bf 38} (1999), no.\ 6, Ser.\ A: Theory Methods, 687--773; (2000j:49024)]}", journal = j-NONLINEAR-ANAL, volume = "49", number = "2, Ser. A: Theory Methods", pages = "295--296", year = "2002", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(01)00099-2", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49J52 (46G05 46N10 49-02 49J53 58C05)", MRnumber = "1885123", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See \cite{Borwein:1999:SSC}.", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", } @Article{Borwein:2002:CBC, author = "J. M. Borwein and J. D. Vanderwerff", title = "On the continuity of biconjugate convex functions", journal = j-PROC-AM-MATH-SOC, volume = "130", number = "6", pages = "1797--1803", month = jun, year = "2002", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-01-06249-9", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B20 (46N10 52A41)", MRnumber = "1887028", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/230/; http://www.jstor.org/stable/2699775", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", remark = "CECM Preprint 00:154.", } @Article{Borwein:2002:EMI, author = "J. M. Borwein", title = "Experimental Mathematics and Integer Relations", journal = "European Research Consortium for Informatics and Mathematics, ERCIM News", volume = "50", number = "??", pages = "30--31", month = jul, year = "2002", bibdate = "Sat Aug 13 17:35:58 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Section Special Theme ERCIMathematics.", acknowledgement = ack-nhfb, journal-URL = "http://ercim-news.ercim.eu/", remark = "The journal web sites has no online content before volume 86, July 2011.", } @Article{Borwein:2002:FES, author = "J. M. Borwein and I. Kortezov and H. Wiersma", title = "A {$ C^1 $}-function that is even on a sphere and has no critical points in the ball", journal = j-J-NONLINEAR-CONVEX-ANAL, volume = "3", number = "1", pages = "1--16", year = "2002", ISSN = "1345-4773 (print), 1880-5221 (electronic)", ISSN-L = "1345-4773", MRclass = "49J53 (26B35 47J30)", MRnumber = "1895233", MRreviewer = "S. Simons", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ybook.co.jp/online2/jncav3.html", acknowledgement = ack-nhfb, fjournal = "Journal of Nonlinear and Convex Analysis. An International Journal", journal-URL = "http://www.ybook.co.jp/jnca.html", remark = "CECM Preprint 01:164.", } @Article{Borwein:2002:MVS, author = "David Borwein and Jonathan M. Borwein and Bernard A. {Mares, Jr.}", title = "Multi-variable sinc integrals and volumes of polyhedra", journal = j-RAMANUJAN-J, volume = "6", number = "2", pages = "189--208", year = "2002", CODEN = "RAJOF9", DOI = "https://doi.org/10.1023/A:1015727317007", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "52A38 (42B10)", MRnumber = "1908197", MRreviewer = "Carla Peri", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/56/", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", remark = "CECM Preprint 01:159.", } @Article{Borwein:2002:RGL, author = "J. M. Borwein and M. Fabian and P. D. Loewen", title = "The range of the gradient of a {Lipschitz} {$ C^1 $}-smooth bump in infinite dimensions", journal = j-ISRAEL-J-MATH, volume = "132", number = "1", pages = "239--251", month = dec, year = "2002", CODEN = "ISJMAP", DOI = "https://doi.org/10.1007/BF02784514", ISSN = "0021-2172 (print), 1565-8511 (electronic)", ISSN-L = "0021-2172", MRclass = "58C05 (46B20 46G05)", MRnumber = "1952623", MRreviewer = "Li Xin Cheng", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/144/; http://link.springer.com/article/10.1007/BF02784514", acknowledgement = ack-nhfb, fjournal = "Israel Journal of Mathematics", journal-URL = "http://link.springer.com/journal/11856", remark = "CECM Preprint 01:169.", } @Article{Borwein:2002:RNC, author = "Jon Borwein and John Giles and Jon Vanderwerff", title = "Rotund norms, {Clarke} subdifferentials and extensions of {Lipschitz} functions", journal = j-NONLINEAR-ANAL, volume = "48", number = "2", pages = "287--301", year = "2002", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(00)00187-5", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "49J52 (46B20)", MRnumber = "1870757", MRreviewer = "Lionel Thibault", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/219/; http://www.sciencedirect.com/science/article/pii/S0362546X00001875", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Baire category; Clarke subdifferentials; Extensions; Lipschitz functions; Rotund norms", remark = "CECM Preprint 98:126.", } @Article{Borwein:2002:SSC, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "A survey of subdifferential calculus with applications: [Nonlinear Anal. TMA {\bf 38} (1999) 687--773]", journal = j-NONLINEAR-ANAL, volume = "49", number = "2", pages = "295--296", year = "2002", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/S0362-546X(01)00099-2", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/199/; http://www.sciencedirect.com/science/article/pii/S0362546X01000992", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis, Theory, Methods and Applications", } @Article{Bauschke:2003:BMO, author = "Heinz H. Bauschke and Jonathan M. Borwein and Patrick L. Combettes", title = "{Bregman} monotone optimization algorithms", journal = j-SIAM-J-CONTROL-OPTIM, volume = "42", number = "2", pages = "596--636", year = "2003", CODEN = "SJCODC", DOI = "https://doi.org/10.1137/S0363012902407120", ISSN = "0363-0129 (print), 1095-7138 (electronic)", ISSN-L = "0363-0129", MRclass = "90C25 (47H05 47N10 90C48)", MRnumber = "1982285", MRreviewer = "Simeon Reich", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/127/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Control and Optimization", journal-URL = "http://epubs.siam.org/sicon", remark = "CECM Preprint 02:184.", } @Article{Benoist:2003:CQV, author = "Jo{\"e}l Benoist and Jonathan M. Borwein and Nicolae Popovici", title = "A characterization of quasiconvex vector-valued functions", journal = j-PROC-AM-MATH-SOC, volume = "131", number = "4", pages = "1109--1113", month = apr, year = "2003", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-02-06761-8", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "26B25 (49J53 90C26)", MRnumber = "1948101", MRreviewer = "Laura Martein", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/145/; http://www.jstor.org/stable/1194189", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", remark = "CECM Preprint 01:170.", } @TechReport{Berggren:2003:PP, author = "Lennart Berggren and Jonathan Borwein and Peter Borwein", title = "A Pamphlet on Pi", type = "CECM Preprint", number = "2003:210", institution = inst-CECM, address = inst-CECM:adr, month = jun, year = "2003", bibdate = "Tue Aug 16 10:15:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/33/", acknowledgement = ack-nhfb, } @Article{Borwein:2003:BGT, author = "J. M. Borwein and A. L. Dontchev", title = "On the {Bartle--Graves} theorem", journal = j-PROC-AM-MATH-SOC, volume = "131", number = "8", pages = "2553--2560", year = "2003", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-03-07229-0", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "49J53 (47J20)", MRnumber = "1974655", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", remark = "CECM Preprint 02:185.", } @InCollection{Borwein:2003:BTE, author = "Jonathan M. Borwein", editor = "A. Michalos", booktitle = "Royal Society of Canada Volume", title = "The best teacher {I} ever had: personal reports from highly productive scholars", publisher = "Althouse Press", address = "????", pages = "??--??", year = "2003", bibdate = "Sat Aug 13 17:29:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Borwein:2003:CEI, author = "Jonathan Borwein and Roland Girgensohn", title = "A class of exponential inequalities", journal = j-MATH-INEQUAL-APPL, volume = "6", number = "3", pages = "397--411", year = "2003", DOI = "https://doi.org/10.7153/mia-06-37", ISSN = "1331-4343 (print), 1848-9966 (electronic)", ISSN-L = "1331-4343", MRclass = "26D15", MRnumber = "1992480", MRreviewer = "Feng Qi", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/148/", acknowledgement = ack-nhfb, ajournal = "Math. Inequal. Appl.", fjournal = "Mathematical Inequalities \& Applications", journal-URL = "http://mia.ele-math.com/", remark = "CECM Preprint 01:174.", } @Article{Borwein:2003:DSS, author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi", title = "On {Dirichlet} series for sums of squares", journal = j-RAMANUJAN-J, volume = "7", number = "1--3", pages = "95--127", year = "2003", CODEN = "RAJOF9", DOI = "https://doi.org/10.1023/A:1026230709945", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11M41 (11E25)", MRnumber = "2035795", MRreviewer = "Don Redmond", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Rankin memorial issues.", URL = "http://docserver.carma.newcastle.edu.au/142/", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", remark = "CECM Preprint 01:167.", } @Article{Borwein:2003:LFL, author = "J. M. Borwein and Xianfu Wang", title = "{Lipschitz} functions on the line with prescribed {H}{\"o}lder subdifferentials", journal = "Advanced Studies in Contemporary Mathematics (Kyungshang).", volume = "7", number = "2", pages = "93--117", year = "2003", ISSN = "1229-3067", ISSN-L = "1229-3067", MRclass = "49J52 (26A16 26A24 26A27)", MRnumber = "2005859", MRreviewer = "Mari{\'a}n Fabian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1526/", acknowledgement = ack-nhfb, ajournal = "Adv. Stud. Contemp. Math. (Kyungshang)", fjournal = "Advanced Studies in Contemporary Mathematics (Kyungshang). Memoirs of the Jangjeon Mathematical Society", journal-URL = "http://www.jangjeon.or.kr/etc/Search.html?division=ASCM", remark = "Article archive requires login access.", } @Article{Borwein:2003:LLC, author = "J. M. Borwein and J. Vanderwerff and Xianfu Wang", title = "Local {Lipschitz}-constant functions and maximal subdifferentials", journal = j-SET-VALUED-ANAL, volume = "11", number = "1", pages = "37--67", year = "2003", CODEN = "SVANEG", DOI = "https://doi.org/10.1023/A:1021975622768", ISSN = "0927-6947 (print), 1572-932X (electronic)", ISSN-L = "0927-6947", MRclass = "49J52 (54E40 54E52)", MRnumber = "1954034", MRreviewer = "John R. Giles", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/article/10.1023/A%3A1021975622768", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", remark = "CECM Preprint 01:158.", } @InProceedings{Borwein:2003:MDM, author = "J. M. Borwein and T. Stanway", title = "Managing Digital Mathematical Discourse", crossref = "Asperti:2003:MKM", pages = "??--??", year = "2003", bibdate = "Sat Aug 13 17:26:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", } @Article{Borwein:2003:NRI, author = "J. Borwein and R. Goebel", title = "Notions of relative interior in {Banach} spaces", journal = "J. Math. Sci. (NY)", volume = "115", number = "4", pages = "2542--2553", year = "2003", CODEN = "JMTSEW", DOI = "https://doi.org/10.1023/A:1022988116044", ISSN = "1072-3374 (print), 1573-8795 (electronic)", MRclass = "49J53 (46B20 90C48)", MRnumber = "1992991", MRreviewer = "Constantin Z{\u{a}}linescu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue on optimization and related topics, 1.", URL = "http://docserver.carma.newcastle.edu.au/138/; http://link.springer.com/article/10.1023/A%3A1022988116044", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Sciences (New York)", remark = "CECM Preprint 01:162.", } @Article{Borwein:2003:PDA, author = "J. Borwein and R. Choksi and P. Mar{\'e}chal", title = "Probability distributions of assets inferred from option prices via the principle of maximum entropy", journal = j-SIAM-J-OPT, volume = "14", number = "2", pages = "464--478", year = "2003", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623401400324", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C25 (91B28)", MRnumber = "2048161", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/10/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", remark = "CECM Preprint 02:176.", } @Article{Borwein:2003:SWG, author = "Jonathan Borwein and Simon Fitzpatrick and Roland Girgensohn", title = "Subdifferentials whose graphs are not norm {$ \times $} weak$^*$ closed", journal = j-CAN-MATH-BULL, volume = "46", number = "4", pages = "538--545", month = dec, year = "2003", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-2003-051-5", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "49J52 (46N10 47H05 90C48)", MRnumber = "2011392", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cmb/v46/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", URL = "http://cms.math.ca/10.4153/CMB-2003-051-5; http://docserver.carma.newcastle.edu.au/149/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", remark = "CECM Preprint 01:175.", } @Article{Bailey:2004:BEA, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and Carl Pomerance", title = "On the binary expansions of algebraic numbers", journal = "Journal de Th{\'e}orie des Nombres de {Bordeaux}", volume = "16", number = "3", pages = "487--518", year = "2004", ISSN = "1246-7405 (print), 2118-8572 (electronic)", ISSN-L = "1246-7405", MRclass = "11K16 (11J25 11J91)", MRnumber = "2144954", MRreviewer = "John H. Loxton", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/36/; http://jtnb.cedram.org/item?id=JTNB_2004__16_3_487_0", acknowledgement = ack-nhfb, ajournal = "J. Th{\'e}or. Nombres Bordeaux", fjournal = "Journal de Th{\'e}orie des Nombres de Bordeaux", remark = "CECM Preprint 2003:204.", } @Book{Berggren:2004:PSB, author = "Lennart Berggren and Jonathan Borwein and Peter Borwein", title = "Pi: a source book", publisher = pub-SV, address = pub-SV:adr, edition = "Third", pages = "xx + 797", year = "2004", DOI = "https://doi.org/10.1007/978-1-4757-4217-6", ISBN = "0-387-20571-3", ISBN-13 = "978-0-387-20571-7", MRclass = "11-00 (01A05 01A75 11-03)", MRnumber = "2065455", MRreviewer = "F. Beukers", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, remark = "CECM Preprint 2003:210.", tableofcontents = "Preface to the Third Edition / v \\ Preface to the Second Edition / vi \\ Preface / vii \\ Acknowledgments / x \\ Introduction / xvii \\ 1. The Rhind Mathematical Papyrus --- Problem 50 ($\approx$1650 B.C.) / A problem dealing with the area of a round field of given diameter / 1 \\ 2. Engels / Quadrature of the Circle in Ancient Egypt (1977) / A conjectural explanation of how the mathematicians of ancient Egypt approximated the area of a circle / 3 \\ 3. Archimedes / Measurement of a Circle --- (-250 B.C.) / The seminal work in which Archimedes presents the first true algorithm for $ \pi $ / 7 \\ 4. Phillips / Archimedes the Numerical --- Analyst (1981) / A summary of Archimedes' work on the computation of $ \pi $ using modem notation / 15 \\ 5. Lam and Ang / Circle Measurements in Ancient China (1986) / This paper discusses and contains a translation of Liu Hui's (3rd century) method for evaluating $ \pi $ and also examines values for $ \pi $ given by Zu Chongzhi (429--500) / 20 \\ 6. The Ban{\=u} M{\=u}s{\=a}: The Measurement of Plane and Solid Figures (--850) / This extract gives an explicit statement and proof that the ratio of the circumference to the diameter is constant / 36 \\ 7. M{\=a}dhava / The Power Series for Arctan and Pi (-1400) / These theorems by a fifteenth century Indian mathematician give Gregory's series for arctan with remainder terms and Leibniz's series for $ \pi $ / 45 \\ 8. Hope-Jones / Ludolph (or Ludolff or Lucius) van Ceulen (1938) / Correspondence about van Ceulen's tombstone in reference to it containing some digits of $ \pi $ / 51 \\ 9. Vi{\`e}te / \booktitle{Variorum de Rebus Mathematicis Reponsorum Liber VII} (1593) / Two excerpts. One containing the first infinite expression of $ \pi $, obtained by relating the area of a regular $2n$-gon to that of a regular $n$-gon / 53 \\ 10. Wallis. Computation of $ \pi $ by Successive Interpolations (1655) / How Wallis derived the infinite product for $ \pi $ that bears his name / 68 \\ 11. Wallis / \booktitle{Arithmetica Infinitorum} (1655) / An excerpt including Prop. 189, 191 and an alternate form of the result that gives Wm. Brounker's continued fraction expression for $ 4 / \pi$ / ?? \\ 12. Huygens / \booktitle{De Circuli Magnitudine Inventa} (1654) / Huygens's demonstration of how to triple the number of correct decimals over those in Archimedes' estimate of $ \pi $ / 81 13. Gregory / Correspondence with John Collins (1671) / A letter to Collins in which he gives his series for arctangent, carried to the ninth power / 87 \\ 14. Roy / The Discovery of the Series Formula for $ \pi $ by Leibniz, Gregory, and Nilakantha (1990) / A discussion of the discovery of the series $ \pi / 4 = 1 - 1/3 + 1/5 - \cdots{} $ / 92 \\ 15. Jones / The First Use of $ \pi $ for the Circle Ratio (1706) / An excerpt from Jones' book, the \booktitle{Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics}, London, 1706 / 108 \\ 16. Newton / Of the Method of Fluxions and Infinite Series (1737) / An excerpt giving Newton's calculation of $ \pi $ to 16 decimal places / 110 \\ 17. Euler / Chapter 10 of \booktitle{Introduction to Analysis of the Infinite (On the Use of the Discovered Fractions to Sum Infinite Series)} (1748) / This includes many of Euler's infinite series for $ \pi $ and powers of $ \pi $ / 112 \\ 18. Lambert / \booktitle{M{\'e}moire Sur Quelques Propri{\'e}t{\'e}s Remarquables Des Quantit{\'e}s Transcendentes Circulaires et Logarithmiques} (1761) / An excerpt from Lambert's original proof of the irrationality of $ \pi $ / 129 19. Lambert / Irrationality of $ \pi $ (1969) / A translation and Struik's discussion of Lambert's proof of the irrationality of $ \pi $ / 141 \\ 20. Shanks / Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) / Pages from Shanks's report of his monumental hand calculation of $ \pi $ / 147 \\ 21. Hermite / \booktitle{Sur La Fonction Exponentielle} (1873) / The first proof of the transcendence of $ e $ / 162 \\ 22. Lindemann / \booktitle{Ueber die Zahl $ \pi $} (1882) / The first proof of the transcendence of $ \pi $ / 194 23. Weierstrass / \booktitle{Zu Lindemann's Abhandlung ``{\"U}ber die Ludolphsche Zahl''} (1885) / Weierstrass' proof of the transcendence of $ \pi $ / 207 24. Hilbert / \booktitle{Ueber die Transzendenz der Zahlen $ e $ und $ \pi $} (1893) / Hilbert's short and elegant simplification of the transcendence proofs for $ e $ and $ \pi $ / 226 25. Goodwin / Quadrature of the Circle (1894) / The dubious origin of the attempted legislation of the value of $ \pi $ in Indiana / 230 \\ 26. Edington / House Bill No. 246, Indiana State Legislature, 1897 (1935) / A summary of the action taken by the Indiana State Legislature to fix the value of $ \pi $ (including a copy of the actual bill that was proposed) / 231 \\ 27. Singmaster / The Legal Values of Pi (1985) / A history of the attempt by Indiana to legislate the value of $ \pi $ / 236 \\ 28. Ramanujan / Squaring the Circle (1913) / A geometric approximation to $ \pi $ / 240 \\ 29. Ramanujan / Modular Equations and Approximations to $ \pi $ (1914) / Ramanujan's seminal paper on pi that includes a number of striking series and algebraic approximations / 241 \\ 30. Watson / The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) / A Presidential address to the Mathematical Association in which the author gives an account of ``some of the elementary work on arcs and ellipses and other curves which led up to the idea of inverting an elliptic integral, and so laying the foundations of elliptic functions and doubly periodic functions generally.'' / ?? \\ 31. Ballantine / The Best (?) Formula for Computing $ \pi $ to a Thousand Places (1939) / An early attempt to orchestrate the calculation of $ \pi $ more cleverly / 271 \\ 32. Birch / An Algorithm for Construction of Arctangent Relations (1946) / The object of this note is to express $ \pi / 4$ as a sum of arctan relations in powers of 10 / 274 \\ 33. Niven / A Simple Proof that $ \pi $ is Irrational (1947) / A very concise proof of the irrationality of $ \pi $ / 276 \\ 34. Reitwiesner / An ENIAC Determination of $ \pi $ and $ e $ to 2000 Decimal Places (1950) / One of the first computer-based computations / 277 \\ 35. Schepler / The Chronology of Pi (1950) / A fairly reliable outline of the history of $ \pi $ from 3000 B.C. to 1949 / 282 \\ 36. Mahler / On the Approximation of $ \pi $ (1953) / ``The aim of this paper is to determine an explicit lower bound free of unknown constants for the distance of $ \pi $ from a given rational or algebraic number.'' / 306 \\ 37. Wrench, Jr. / The Evolution of Extended Decimal Approximations to $ \pi $ (1960) / A history of the calculation of the digits of $ \pi $ to 1960 / 319 \\ 38. Shanks and Wrench, Jr. / Calculation of $ \pi $ to 100,000 Decimals (1962) / A landmark computation of $ \pi $ to more than 100,000 places / 326 39. Sweeny / On the Computation of Euler's Constant (1963) / The computation of Euler's constant to 3566 decimal places / 350 40. Baker / Approximations to the Logarithms of Certain Rational Numbers (1964) / The main purpose of this deep and fundamental paper is to ``deduce results concerning the accuracy with which the natural logarithms of certain rational numbers may be approximated by rational numbers, or, more generally, by algebraic numbers of bounded degree.'' / 359 \\ 41. Adams / Asymptotic Diophantine Approximations to e (1966) / An asymptotic estimate for the rational approximation to $ e $ which disproves the conjecture that $ e $ behaves like almost all numbers in this respect / 368 \\ 42. Mahler / Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) / An important extension of Hilbert's approach to the study of transcendence / 372 43. Eves / In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) / A collection of mathematical stories and anecdotes about $ \pi $ / 456 \\ 44. Eves / Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) / A further collection of mathematical stories and anecdotes about $ \pi $ / 402 45. Todd / The Lemniscate Constants (1975) / A unifying account of some of the methods used for computing the lemniscate constants / 412 \\ 46. Salamin / Computation of $ \pi $ Using Arithmetic--Geometric Mean (1976) / The first quadratically converging algorithm for $ \pi $ based on Gauss's AGM and on Legendre's relation for elliptic integrals / 418 \\ 47. Brent / Fast Multiple-Precision Evaluation of Elementary Functions (1976) / ``This paper contains the `Gauss--Legendre' method and some different algorithms for $\log$ and $\exp$ (using Landen transformations).'' / 424 \\ 48. Beukers / A Note on the Irrationality of $ \zeta(2) $ and $ \zeta(3) $ (1979) / A short and elegant recasting of Apery's proof of the irrationality of $\zeta(3)$ (and $\zeta(2)$) / 434 \\ 49. van der Poorten / A Proof that Euler Missed \ldots{} Apery's Proof of the Irrationality of $\zeta (3)$ (1979) / An illuminating account of Apery's astonishing proof of the irrationality of $\zeta (3)$ / 439 \\ 50. Brent and McMillan / Some New Algorithms for High-Precision Computation of Euler's Constant (1980) / Several new algorithms for high-precision calculation of Euler's constant, including one which was used to compute 30,100 decimal places / 448 \\ 51. Apostol / A Proof that Euler Missed: Evaluating $\zeta(2)$ the Easy Way (1983) / This note shows that one of the double integrals considered by Beukers ([48] in the table of contents) can be used to establish directly that $\zeta(2) = \pi^2 / 6$ / 456 \\ 52. O'Shaughnessy / Putting God Back in Math (1983) / An article about the Institute of Pi Research, an organization that ``pokes fun at creationists by pointing out that even the Bible makes mistakes.'' / 458 \\ 53. Stern / A Remarkable Approximation to $ \pi $ (1985) / Justification of the value of $ \pi $ in the Bible through numerological interpretations / 460 \\ 54. Newman and Shanks / On a Sequence Arising in Series for $ \pi $ (1984) / More connections between $ \pi $ and modular equations / 462 \\ 55. Cox / The Arithmetic--Geometric Mean of Gauss (1984) / An extensive study of the complex analytic properties of the AGM / 481 \\ 56. Borwein and Borwein / The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions (1984) / The relationship between the AGM iteration and fast computation of elementary functions (one of the by-products is an algorithm for $ \pi $) / 537 57. Newman / A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) / Elementary algorithms for evaluating $ e^x $ and $ \pi $ using the Gauss AGM without explicit elliptic function theory / 553 \\ 58. Wagon / Is Pi Normal? (1985) / A discussion of the conjecture that $ \pi $ has randomly distributed digits / 557 \\ 59. Keith / Circle Digits: A Self-Referential Story (1986) / A mnemonic for the first 402 decimal places of $ \pi $ / 560 \\ 60. Bailey / The Computation of $ \pi $ to 29,360,000 Decimal Digits Using Borwein's Quartically Convergent Algorithm (1988) / The algorithms used, both for $ \pi $ and for performing the required multiple-precision arithmetic / 562 \\ 61. Kanada / Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of $ \pi $ Calculation (1988) / Details of the computation and statistical tests of the first 200 million digits of $ \pi $ / 576 \\ 62. Borwein and Borwein / Ramanujan and Pi (1988) / This article documents Ramanujan's life, his ingenious approach to calculating $ \pi $, and how his approach is now incorporated into modern computer algorithms / 588 \\ 63. Chudnovsky and Chudnovsky / Approximations and Complex Multiplication According to Ramanujan (1988) / This excerpt describes ``Ramanujan's original quadratic period--quasiperiod relations for elliptic curves with complex multiplication and their applications to representations of fractions of $ \pi $ and other logarithms in terms of rapidly convergent nearly integral (hypergeometric) series.'' / 596 \\ 64. Borwein, Borwein and Bailey / Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) / An exposition of the computation of $ \pi $ using mathematics rooted in Ramanujan's work / 623 \\ 65. Borwein, Borwein and Dilcher / Pi, Euler Numbers, and Asymptotic Expansions (1989) / An explanation as to why the slowly convergent Gregory series for $ \pi $, truncated at 500,000 terms, gives $ \pi $ to 40 places with only the 6th, 17th, 18th, and 29th places being incorrect / 642 \\ 66. Beukers, Bezivin, and Robba / An Alternative Proof of the Lindemann--Weierstrass Theorem (1990) / The Lindemann--Weierstrass theorem as a by-product of a criterion for rationality of solutions of differential equations / 649 \\ 67. Webster / The Tale of Pi (1991) / Various anecdotes about $ \pi $ from the 14th annual IMO Lecture to the Royal Society / 654 \\ 68. Eco / An excerpt from Foucault's Pendulum (1993) / ``The unnumbered perfection of the circle itself.'' / 658 \\ 69. Keith / Pi Mnemonics and the Art of Constrained Writing (1996) / A mnemonic for $ \pi $ based on Edgar Allen Poe's poem ``The Raven.'' / 659 \\ 70. Bailey, Borwein, and Plouffe / On the Rapid Computation of Various Polylogarithmic Constants (1997) / A fast method for computing individual digits of $ \pi $ in base 2 / 663 \\ Appendix I --- On the Early History of Pi / 677 \\ Appendix II --- A Computational Chronology of Pi / 683 \\ Appendix III --- Selected Formulae for Pi / 686 \\ Appendix IV --- Translations of Viele and Huygens / 690 \\ Bibliography / 710 \\ Credits / 717 \\ A Pamphlet on Pi / 721 \\ Contents / 723 \\ 1. Pi and Its Friends / 725 \\ 2. Normality of Numbers / 741 \\ 3. Historia Cyclometrica / 753 \\ 4. Demotica Cyclometrica / 771 \\ References / 779 \\ Index / 783", } @InProceedings{Borwein:2004:AGMa, author = "J. M. Borwein and P. B. Borwein", booktitle = "Pi: A Source Book", title = "The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "2004", DOI = "https://doi.org/10.1007/978-1-4757-4217-6_56", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_56", acknowledgement = ack-nhfb, } @Article{Borwein:2004:CCS, author = "Jonathan M. Borwein and Jon D. Vanderwerff", title = "Constructible convex sets", journal = j-SET-VALUED-ANAL, volume = "12", number = "1--2", pages = "61--77", month = mar # "\slash " # jun, year = "2004", CODEN = "SVANEG", DOI = "https://doi.org/10.1023/B:SVAN.0000023393.75251.05", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "49J53 (46B20 46N10 90C25 90C48)", MRnumber = "2069352", MRreviewer = "Diethard Pallaschke", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/38/", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", remark = "CECM Preprint 2003:202.", } @Article{Borwein:2004:CMU, author = "J. Borwein and I. Kortezov", title = "Constructive minimal uscos", journal = j-C-R-ACAD-BULGARE-SCI, volume = "57", number = "12", pages = "9--12", year = "2004", CODEN = "DBANAD", ISSN = "1310-1331 (print), 2367-5535 (electronic)", ISSN-L = "1310-1331", MRclass = "49J53 (54C60)", MRnumber = "2117234", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/273/", acknowledgement = ack-nhfb, fjournal = "Dokladi na B\cdprime lgarskata Akademiya na Naukite. Comptes Rendus de l'Acad{\'e}mie Bulgare des Sciences", journal-URL = "http://www.proceedings.bas.bg/", remark = "CoLab Preprint 273", remark = "The journal web site only has an abstract for this paper.", xxtitle = "Constructive minimal cuscos", } @Article{Borwein:2004:DCM, author = "Jonathan M. Borwein and James V. Burke and Adrian S. Lewis", title = "Differentiability of cone-monotone functions on separable {Banach} space", journal = j-PROC-AM-MATH-SOC, volume = "132", number = "4", pages = "1067--1076", month = apr, year = "2004", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-03-07149-1", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "49J50 (46G05 46N10)", MRnumber = "2045422", MRreviewer = "Jes{\'u}s A. Jaramillo", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1242/; http://www.jstor.org/stable/4097135", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", remark = "CECM Preprint 02:183.", } @InProceedings{Borwein:2004:DSS, author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi", title = "{Dirichlet} series for squares of sums of squares: a summary", crossref = "Kisilevsky:2004:NTP", volume = "36", publisher = pub-AMS, address = pub-AMS:adr, pages = "27--34", year = "2004", MRclass = "11M41 (11E25)", MRnumber = "2076564", MRreviewer = "Don Redmond", bibdate = "Sat Aug 13 17:30:35 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CRM Proc. Lecture Notes", ZMnumber = "1078.11055", acknowledgement = ack-nhfb, } @Book{Borwein:2004:EMCa, author = "Jonathan M. Borwein and David H. Bailey and Roland Girgensohn", title = "Experimentation in mathematics: computational paths to discovery", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "x + 357", year = "2004", ISBN = "1-56881-136-5", ISBN-13 = "978-1-56881-136-9", LCCN = "QA12 .B67 2004", MRclass = "11-01 (11Yxx 40-01 42A16 42A38 68W30)", MRnumber = "2051473", MRreviewer = "F. Beukers", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", acknowledgement = ack-nhfb, shorttableofcontents = "Sequences, series, products and integrals / 1 \\ Fourier series and integrals / 69 \\ Zeta functions and multizeta functions / 131 \\ Partitions and powers / 183 \\ Primes and polynomials / 225 \\ The power of constructive proofs II / 263 \\ Numerical techniques II / 299", tableofcontents = "", xxyear = "2003", } @Article{Borwein:2004:FEA, author = "Jonathan M. Borwein and David Borwein and William F. Galway", title = "Finding and excluding {$b$}-ary {Machin}-type individual digit formulae", journal = j-CAN-J-MATH, volume = "56", number = "5", pages = "897--925", month = "????", year = "2004", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-2004-041-2", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "11Y60 (11A67 11G55 33B30)", MRnumber = "2085627", MRreviewer = "Greg Martin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canjmath.bib", note = "This paper established the result that there are no degree-1 BBP-type formulas for $ \pi $, except when the base is 2 (or an integer power thereof).", URL = "http://docserver.carma.newcastle.edu.au/47/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", remark = "CECM Preprint 2003:195.", } @Book{Borwein:2004:MEP, author = "Jonathan M. Borwein and David H. Bailey", title = "Mathematics by Experiment: Plausible Reasoning in the {21st Century}", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "x + 288", year = "2004", ISBN = "1-56881-211-6", ISBN-13 = "978-1-56881-211-3", LCCN = "QA76.95 .B67 2003", MRclass = "00A35", MRnumber = "2033012", MRreviewer = "John H. Mason", bibdate = "Fri Oct 17 10:38:25 2003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", price = "US\$45.00", URL = "http://docserver.carma.newcastle.edu.au/272/", abstract = "Using examples that truly represent the experimental methodology, this book provides the historical context of, and rationale behind, experimental mathematics. It shows how today, the use of advanced computing technology provides, mathematicians with an amazing, previously unimaginable ``laboratory,'' in which examples can be analyzed, new ideas tested, and patterns discovered. This is a perfect introduction to the history and current state of research and technology in the growing field of experimental mathematics.", acknowledgement = ack-nhfb, remark = "Due to an unfortunate error, some of the citations in the book point to the wrong item in the Bibliography. Here is how to find the correct citation number: [1]--[85]: Citation number is correct; [86, page 100]: [86]; [86, page 2]: [87]; [87]--[156]: Add one to citation number; [157]: [159]; [158, page 139]: [158]; [158, page 97]: [160]; [159]--[196]: Add two to citation number", tableofcontents = "What is Experimental Mathematics? \\ Experimental Mathematics in Action \\ Pi and Its Friends \\ Normality of Numbers \\ The Power of Constructive Proofs I \\ Numerical Techniques I \\ Making Sense of Experimental Math", } @Article{Borwein:2004:OPV, author = "Jonathan Borwein and Lixin Cheng and Mari{\'a}n Fabian and Julian P. Revalski", title = "A one perturbation variational principle and applications", journal = j-SET-VALUED-ANAL, volume = "12", number = "1--2", pages = "49--60", year = "2004", CODEN = "SVANEG", DOI = "https://doi.org/10.1023/B:SVAN.0000023400.92518.cb", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "49J53 (46B20 46G05 49J40 49J50)", MRnumber = "2069351", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/14/", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", remark = "CECM Preprint 2003:205.", } @InProceedings{Borwein:2004:PEN, author = "J. M. Borwein and P. B. Borwein and K. Dilcher", booktitle = "Pi: A Source Book", title = "Pi, {Euler} Numbers, and Asymptotic Expansions", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "2004", DOI = "https://doi.org/10.1007/978-1-4757-4217-6_65", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1583/; http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_65", acknowledgement = ack-nhfb, } @Article{Borwein:2004:RAFa, author = "J. Borwein and R. Crandall and G. Fee", title = "On the {Ramanujan} {AGM} Fraction, {I}: The Real-Parameter Case", journal = j-EXP-MATH, volume = "13", number = "3", pages = "275--285", year = "2004", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2004.10504540", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11J70 (11A55 33C05 40A15)", MRnumber = "2103326", MRreviewer = "James G. Mc Laughlin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/27/; http://projecteuclid.org/euclid.em/1103749836", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Borwein:2004:RAFb, author = "J. Borwein and R. Crandall", title = "On the {Ramanujan} {AGM} Fraction, {II}: The Complex-Parameter Case", journal = j-EXP-MATH, volume = "13", number = "3", pages = "287--295", year = "2004", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2004.10504541", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11J70 (11A55 33C05)", MRnumber = "2103327", MRreviewer = "James G. Mc Laughlin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/29/; http://projecteuclid.org/euclid.em/1103749837", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @InProceedings{Borwein:2004:RME, author = "J. M. Borwein and P. B. Borwein and D. H. Bailey", booktitle = "Pi: A Source Book", title = "{Ramanujan}, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "2004", DOI = "https://doi.org/10.1007/978-1-4757-4217-6_64", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1587/; http://link.springer.com/chapter/10.1007/978-1-4757-4217-6_64", acknowledgement = ack-nhfb, } @Article{Bailey:2005:EDA, author = "David H. Bailey and Jonathan M. Borwein and David M. Bradley", title = "Experimental determination of {Ap{\'e}ry}-like identities for $ \zeta (2 n + 2) $", journal = "ArXiv Mathematics e-prints", month = may, year = "2005", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2005math......5270B; http://docserver.carma.newcastle.edu.au/295/", abstract = "We document the discovery of two generating functions for the Riemann zeta values zeta(2n+2), analogous to earlier work for zeta(2n+1) and zeta(4n+3). This continues work initiated by Koecher and pursued further by Borwein, Bradley and others.", acknowledgement = ack-nhfb, eprint = "math/0505270", keywords = "Mathematics - Number Theory, Mathematics - Classical Analysis and ODEs, 11M06 (Primary), 33C20 (Secondary)", } @Article{Bailey:2005:EME, author = "David H. Bailey and Jonathan M. Borwein", title = "Experimental mathematics: examples, methods and implications", journal = j-NAMS, volume = "52", number = "5", pages = "502--514", year = "2005", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "00A35", MRnumber = "2140093", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1241/; http://www.ams.org/notices/200505/fea-borwein.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", remark = "CoLab Preprint 269.", } @Article{Bailey:2005:FPC, author = "D. H. Bailey and J. M. Borwein", title = "Future Prospects for Computer-assisted Mathematics", journal = j-CMS-NOTES, volume = "37", number = "8", pages = "2--6", month = dec, year = "2005", DOI = "", ISSN = "1193-9273 (print), 1496-4295 (electronic)", ISSN-L = "1193-9273", bibdate = "Sat Aug 13 17:21:21 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/304/; https://cms.math.ca/notes/v37/n8/Notesv37n8.pdf", acknowledgement = ack-nhfb, ajournal = "CMS Notes", fjournal = "Canadian Mathematical Society Notes", journal-URL = "https://cms.math.ca/notes", journal-URL = "https://cms.math.ca/notes/", } @InCollection{Borwein:2005:ADC, author = "J. M. Borwein and K. Karamanos", editor = "Andrew Eberhard and Nicolas Hadjisavvas and Dinh The Luc", booktitle = "Generalized Convexity, Generalized Monotonicity and Applications", title = "Algebraic Dynamics of Certain Gamma Function Values", volume = "77", publisher = pub-SV, address = pub-SV:adr, bookpages = "xi + 350", pages = "3--21", year = "2005", DOI = "https://doi.org/10.1007/0-387-23639-2_1", ISBN = "0-387-23638-4", ISBN-13 = "978-0-387-23638-4", MRclass = "11Y60 (33B15 37B99 37N99 94A17)", MRnumber = "2103023", MRreviewer = "Brian L. Burrows", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Nonconvex Optim. Appl.", URL = "http://docserver.carma.newcastle.edu.au/256/; http://link.springer.com/chapter/10.1007/0-387-23639-2_1", acknowledgement = ack-nhfb, } @Article{Borwein:2005:CFT, author = "Jonathan Michael Borwein and Kwok-Kwong Stephen Choi and Wilfried Pigulla", title = "Continued fractions of tails of hypergeometric series", journal = j-AMER-MATH-MONTHLY, volume = "112", number = "6", pages = "493--501", month = jun # "\slash " # jul, year = "2005", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/30037519", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "33C05 (40A15)", MRnumber = "2142600", MRreviewer = "Takao Komatsu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/39/; http://www.jstor.org/stable/30037519", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", remark = "CECM Preprint 2003:201.", } @Article{Borwein:2005:CMF, author = "Jonathan M. Borwein and Xianfu Wang", title = "Cone-monotone functions: differentiability and continuity", journal = j-CAN-J-MATH, volume = "57", number = "5", pages = "961--982", year = "2005", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-2005-037-5", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "49J50 (26B05 46G05 58C20)", MRnumber = "2164591", MRreviewer = "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @Article{Borwein:2005:DCF, author = "Jonathan M. Borwein and D. Russell Luke", title = "Dynamics of a continued fraction of {Ramanujan} with random coefficients", journal = j-ABSTR-APPL-ANAL, volume = "2005", number = "5", pages = "449--467", month = "????", year = "2005", DOI = "https://doi.org/10.1155/AAA.2005.449", ISSN = "1085-3375 (print), 1687-0409 (electronic)", ISSN-L = "1085-3375", MRclass = "11J70 (60F15)", MRnumber = "2201037", MRreviewer = "Mary E. Flahive", bibdate = "Fri Aug 12 10:09:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2005AbApA2005..449B; http://www.hindawi.com/journals/aaa/2005/162798/abs/", acknowledgement = ack-nhfb, fjournal = "Abstract and Applied Analysis", received = "16 November 2004", remark = "CoLab Preprint 275", } @Article{Borwein:2005:EBS, author = "Jonathan M. Borwein and Roland Girgensohn", title = "Evaluations of binomial series", journal = j-AEQUATIONES-MATHEMATICAE, volume = "70", number = "1--2", pages = "25--36", year = "2005", CODEN = "AEMABN", DOI = "https://doi.org/10.1007/s00010-005-2774-x", ISSN = "0001-9054 (print), 1420-8903 (electronic)", ISSN-L = "0001-9054", MRclass = "05A10 (11B65 33B30)", MRnumber = "2167981", MRreviewer = "Valery V. Karachik", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/131/", acknowledgement = ack-nhfb, fjournal = "Aequationes Mathematicae", journal-URL = "http://link.springer.com/journal/10", remark = "CECM Preprint 02:188.", } @Article{Borwein:2005:EDA, author = "Jonathan M. Borwein and David M. Bradley", title = "Empirically determined {Ap{\'e}ry}-like formulae for $ \zeta (4 n + 3) $", journal = "ArXiv Mathematics e-prints", month = may, year = "2005", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2005math......5124B; http://docserver.carma.newcastle.edu.au/163/", abstract = "Some rapidly convergent formulae for special values of the Riemann zeta function are given. We obtain a generating function formula for zeta(4n+3) which generalizes Ap{\'e}ry's series for zeta(3), and appears to give the best possible series relations of this type, at least for n$ \lt $12. The formula reduces to a finite but apparently non-trivial combinatorial identity. The identity is equivalent to an interesting new integral evaluation for the central binomial coefficient. We outline a new technique for transforming and summing certain infinite series. We also derive a beautiful formula which provides strange evaluations of a large new class of non-terminating hypergeometric series. Our main results are shown to be equivalent. At the time this article was submitted for publication back in 1996, these results were only conjectures, but they have subsequently been proved as a result of work due to Gert Almkvist and Andrew Granville.", acknowledgement = ack-nhfb, eprint = "math/0505124", keywords = "Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory, 11M06", } @Article{Borwein:2005:EMPa, author = "J. M. Borwein", title = "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof", journal = "International Journal of Computers for Mathematical Learning", volume = "10", number = "2", pages = "75--108", month = may, year = "2005", DOI = "https://doi.org/10.1007/s10758-005-5216-x", ISSN = "1382-3892 (print), 1573-1766 (electronic)", ISSN-L = "1382-3892", bibdate = "Fri Aug 12 10:49:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Counterpart presentation published in CMESG25 Proceedings, 2002, with lecture slides at \url{http://www.cecm.sfu.ca/personal/jborwein/proof.pdf}.", URL = "http://docserver.carma.newcastle.edu.au/264/; http://link.springer.com/article/10.1007/s10758-005-5216-x; https://web.archive.org/web/20040330173752/http://www.cecm.sfu.ca/personal/jborwein/proof.pdf", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10758", remark-1 = "CECM Preprint 02:178; 264.", remark-2 = "Journal renamed in 2011 to \booktitle{Technology, knowledge and learning}.", } @Article{Borwein:2005:KCM, author = "Jonathan Borwein and Terry Stanway", title = "Knowledge and Community in Mathematics", journal = j-MATH-INTEL, volume = "27", number = "2", pages = "7--16", year = "2005", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF02985788", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "01A80 (00A05)", MRnumber = "2156530", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/274/", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", remark = "CoLab Preprint 274.", } @Article{Borwein:2005:LFM, author = "Jonathan M. Borwein and Xianfu Wang", title = "{Lipschitz} functions with maximal {Clarke} subdifferentials are staunch", journal = j-BULL-AUSTRAL-MATH-SOC, volume = "72", number = "3", pages = "491--496", year = "2005", CODEN = "ALNBAB", DOI = "https://doi.org/10.1017/S0004972700035322", ISSN = "0004-9727 (print), 1755-1633 (electronic)", ISSN-L = "0004-9727", MRclass = "49J52 (26B05 26E25 54C30)", MRnumber = "2199651", MRreviewer = "Dariusz Zagrodny", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/302/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=4829356", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Australian Mathematical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ", } @InProceedings{Borwein:2005:PFW, author = "Jonathan M. Borwein and Mason Macklem and Jaehyun Paek", editor = "????", booktitle = "SIAM Conference on Computational Science and Engineering, Orlando, February 2005", title = "A Prototype for the Federated World Directory of Mathematicians", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "??--??", year = "2005", bibdate = "Sat Aug 13 17:23:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", } @Article{Borwein:2005:SDC, author = "Jonathan M. Borwein", title = "The {SIAM} 100-Digit challenge: a study in high-accuracy numerical computing", journal = j-MATH-INTEL, volume = "27", number = "4", pages = "40--48", year = "2005", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/BF02985860", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", bibdate = "Fri Aug 12 10:34:00 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", remark = "D-drive preprint 285.", } @Article{Borwein:2005:SSA, author = "J. M. Borwein and David M. Bradley", title = "Searching symbolically for {Ap{\'e}ry}-like formulae for values of the {Riemann} zeta function", journal = "ArXiv Mathematics e-prints", month = may, year = "2005", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2005math......5093B; http://docserver.carma.newcastle.edu.au/170/", abstract = "We discuss some aspects of the search for identities using computer algebra and symbolic methods. The focus is on so-called Ap{\'e}ry-like formulae for special values of the Riemann Zeta function. Much work lays ahead in formally proving and properly classifying many of the identities we have uncovered.", acknowledgement = ack-nhfb, eprint = "math/0505093", keywords = "Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory, 11M06", } @Article{Borwein:2005:TFI, author = "Jonathan M. Borwein and David M. Bradley", title = "On Two Fundamental Identities for {Euler} Sums", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", month = feb, year = "2005", bibdate = "Tue Aug 16 10:16:43 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/math.NT/0502034/; http://docserver.carma.newcastle.edu.au/279/", acknowledgement = ack-nhfb, remark = "The archive.org URL is wrong: it points to the \title{Thirty-two Goldbach Variations} paper.", } @Article{Borwein:2005:TTG, author = "J. M. Borwein and David M. Bradley", title = "Thirty-two {Goldbach} Variations", journal = "ArXiv Mathematics e-prints", day = "1", month = feb, year = "2005", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2005math......2034B; http://arxiv.org/abs/math/0502034; http://docserver.carma.newcastle.edu.au/301/", abstract = "We give thirty-two diverse proofs of a small mathematical gem --- the fundamental Euler sum identity $$ \zeta (2, 1) = \zeta (3) = 8 \zeta (\bar 2, 1) $$. We also discuss various generalizations for multiple harmonic (Euler) sums and some of their many connections, thereby illustrating both the wide variety of techniques fruitfully used to study such sums and the attraction of their study.", acknowledgement = ack-nhfb, eprint = "math/0502034", keywords = "Mathematics - Number Theory, 11M41", remark = "v1 (1 February 2005): 34 pages AMSLaTeX. v2 (3 November 2005): 41 pages AMSLaTeX. New introductory material added and material on inequalities, Hilbert matrix and Witten zeta functions. Errors in the second section on Complex Line Integrals are corrected. Published in \cite{Borwein:2006:TTG}.", } @Book{Borwein:2005:TVA, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Techniques of Variational Analysis", publisher = pub-SV, address = pub-SV:adr, pages = "vi + 362", year = "2005", DOI = "https://doi.org/10.1007/0-387-28271-8", ISBN = "0-387-24298-8", ISBN-13 = "978-0-387-24298-9", MRclass = "49-02 (49J52 49J53 90-02)", MRnumber = "2144010", MRreviewer = "Richard B. Vinter", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CMS Books in Mathematics/Ouvrages de Math{\'e}matiques de la SMC, 20", URL = "http://docserver.carma.newcastle.edu.au/1735/", acknowledgement = ack-nhfb, tableofcontents = "Front Matter / i--vi \\ Introduction and Notation / 1--4 \\ Variational Principles / 5--36 \\ Variational Techniques in Subdifferential Theory / 37--109 \\ Variational Techniques in Convex Analysis / 111--163 \\ Variational Techniques and Multifunctions / 165--241 \\ Variational Principles in Nonlinear Functional Analysis / 243--289 \\ Variational Techniques In the Presence of Symmetry / 291--338 \\ Back Matter / 339--362", } @Article{Kellar:2005:DCM, author = "M. Kellar and B. MacKay and R. Zhang and C. Watters and D. Kaufman and J. Borwein", title = "Dynamic Composition of Math Lessons", journal = "Journal of Educational Technology \& Society", volume = "6", number = "4", pages = "100--111", month = "????", year = "2005", ISSN = "1176-3647 (print), 1436-4522 (electronic)", ISSN-L = "1176-3647", bibdate = "Fri Aug 12 10:11:01 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1525/; http://ifets.ieee.org/periodical/6_4/10.pdf", acknowledgement = ack-nhfb, journal-URL = "http://www.jstor.org/journal/jeductechsoci", } @InProceedings{Bailey:2006:EBE, author = "D. H. Bailey and J. M. Borwein", booktitle = "20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment (HPCS'06)", title = "Effective Bounds in {Euler--Maclaurin}-Based Quadrature (Summary for {HPCS06})", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "34--34", month = may, year = "2006", DOI = "https://doi.org/10.1109/HPCS.2006.22", ISSN = "1550-5243 (print), 2378-2099 (electronic)", ISSN-L = "1550-5243", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/hpcs06.pdf", acknowledgement = ack-nhfb, keywords = "Approximation error; Computer errors; Computer science; Concurrent computing; Error analysis; International collaboration; Mathematics; System testing", } @Article{Bailey:2006:EDA, author = "David H. Bailey and Jonathan M. Borwein and David M. Bradley", title = "Experimental Determination of {Ap{\'e}ry}-like Identities for $ \zeta (2 n + 2) $", journal = j-EXP-MATH, volume = "15", number = "3", pages = "281--289", year = "2006", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2006.10128968", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60 (11M06)", MRnumber = "2264467", MRreviewer = "Tanguy Rivoal", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/15/3", URL = "http://docserver.carma.newcastle.edu.au/295/; http://projecteuclid.org/euclid.em/1175789759", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "30 Jan 2011", } @TechReport{Bailey:2006:FGE, author = "David H. Bailey and Jonathan M. Borwein", title = "Finding General Explicit Formulas for {Ising} Integral Recursions", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada", day = "2", month = oct, year = "2006", bibdate = "Fri Sep 30 08:18:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/ising-int.pdf", acknowledgement = ack-nhfb, keywords = "$K_0$ modified Bessel function; ARPREC multiprecision software system", } @Article{Bailey:2006:IIC, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Integrals of the {Ising} class", journal = j-J-PHYS-A, volume = "39", number = "40", pages = "12271--12302", month = oct, year = "2006", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/39/40/001", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "33F05 (33F10 65D30 82B20 82B80)", MRnumber = "2261886", MRreviewer = "Syamal K. Sen", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://adsabs.harvard.edu/abs/2006JPhA...39..001B; http://docserver.carma.newcastle.edu.au/324/; http://iopscience.iop.org/article/10.1088/0305-4470/39/40/001; http://stacks.iop.org/0305-4470/39/i=40/a=001", abstract = "From an experimental-mathematical perspective we analyse 'Ising-class' integrals. These are structurally related $n$-dimensional integrals we call $ C_n$, $ D_n$, $ E_n$, where $ D_n$ is a magnetic susceptibility integral central to the Ising theory of solid-state physics. We first analyse $ C_n \coloneq \frac {4}{n!} \int_0^\infty \cdots \int_0^\infty \frac { 1 } { \big (\sum_{ j = 1 }^n (u_j + 1 / u_j) \big)^2 } \frac { d u_1 } { u_1 } \cdots \frac { d u_n } { u_n }$.\par We had conjectured --- on the basis of extreme-precision numerical quadrature --- that $ C_n $ has a finite large-$n$ limit, namely $ C_\infty = 2 e^{-2} $, with $ \gamma $ being the Euler constant. On such a numerological clue we are able to prove the conjecture. We then show that integrals $ D_n $ and $ E_n $ both decay exponentially with $n$, in a certain rigorous sense. While $ C_n $, $ D_n $ remain unresolved for $ n \geq 5 $, we were able to conjecture a closed form for $ E_5 $. Our experimental results involved extreme-precision, multidimensional quadrature on intricate integrands; thus, a highly parallel computation was required.", acknowledgement = ack-nhfb, fjournal = "Journal of Physics A (Mathematical and General)", journal-URL = "http://iopscience.iop.org/1751-8121", onlinedate = "19 September 2006", } @Article{Bailey:2006:TPE, author = "David H. Bailey and Jonathan M. Borwein and Vishaal Kapoor and Eric W. Weisstein", title = "Ten problems in experimental mathematics", journal = j-AMER-MATH-MONTHLY, volume = "113", number = "6", pages = "481--509", month = jun # "\slash " # jul, year = "2006", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/27641975", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "65-02 (11Y60 37E05 37G10 65-05 68-02)", MRnumber = "2231135", MRreviewer = "Vasily A. Chernecky", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1237/; http://www.jstor.org/stable/27641975", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", remark = "CoLab Preprint 270.", } @InCollection{Borwein:2006:AWM, author = "Jonathan M. Borwein", editor = "N. Sinclair and W. Higginson", booktitle = "Mathematics and the aesthetic", title = "Aesthetics for the working mathematician", volume = "25", publisher = pub-SV, address = pub-SV:adr, pages = "21--40", year = "2006", MRclass = "00A05 (00A99 11A99 11Y99)", MRnumber = "2274212", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CMS Books Math./Ouvrages Math. SMC", URL = "http://docserver.carma.newcastle.edu.au/150/", acknowledgement = ack-nhfb, remark = "CECM Preprint 01:165.", } @Article{Borwein:2006:BDE, author = "Jonathan Borwein and Vicente Montesinos and Jon Vanderwerff", title = "Boundedness, differentiability and extensions of convex functions", journal = j-J-CONVEX-ANAL, volume = "13", number = "3--4", pages = "587--602", year = "2006", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "46G05 (46N10 49J50 52A41)", MRnumber = "2291553", MRreviewer = "Lud{\v{e}}k Zaj{\'{\i}}{\v{c}}ek", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/288/; http://www.heldermann.de/JCA/JCA13/JCA133/jca13046.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Book{Borwein:2006:CAN, author = "Jonathan M. Borwein and Adrian S. Lewis", title = "Convex analysis and nonlinear optimization", volume = "3", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xii + 310", year = "2006", DOI = "https://doi.org/10.1007/978-0-387-31256-9", ISBN = "0-387-29570-4", ISBN-13 = "978-0-387-29570-1", MRclass = "49-01 (46N10 47N10 49-02 49J53 90-01)", MRnumber = "2184742", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Theory and examples.", series = "CMS Books in Mathematics\slash Ouvrages de Math{\'e}matiques de la SMC", acknowledgement = ack-nhfb, tableofcontents = "Front Matter / i--xii \\ Background / 1--14 \\ Inequality Constraints / 15--32 \\ Fenchel Duality / 33--63 \\ Convex Analysis / 65--96 \\ Special Cases / 97--122 \\ Nonsmooth Optimization / 123--152 \\ Karush--Kuhn--Tucker Theory / 153--177 \\ Fixed Points / 179--211 \\ More Nonsmooth Structure / 213--238 \\ Postscript: Infinite Versus Finite Dimensions / 239--251 \\ List of Results and Notation / 253--273 \\ Back Matter / 275--310", } @Article{Borwein:2006:DLP, author = "Jonathan M. Borwein and Mason S. Macklem", title = "The (digital) life of {Pi}", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "33", number = "4", pages = "243--248", month = sep, year = "2006", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", MRclass = "11Y60 (65B99)", MRnumber = "2259732", MRreviewer = "Khodabakhsh Hessami Pilehrood", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/267/; http://www.austms.org.au/Publ/Gazette/2006/Sep06/pi.pdf", acknowledgement = ack-nhfb, fjournal = "The Australian Mathematical Society. Gazette", journal-URL = "http://www.austms.org.au/gazette", } @Book{Borwein:2006:EM, author = "Jonathan M. Borwein and David H. Bailey and Roland Girgensohn", title = "Experiments in Mathematics", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "????", year = "2006", ISBN = "1-56881-283-3, 1-56881-211-6, 1-56881-136-5", ISBN-13 = "978-1-56881-283-0", LCCN = "????", bibdate = "Tue Aug 16 08:45:42 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Combined interactive CD version.", abstract = "Contains the full text of: Mathematics by experiment: plausible reasoning in the 21st century; and, Experimentation in mathematics: computational paths to discovery, in electronic, searchable form. Includes hyperlinks for all cross references, Internet URLs, and bibliographical references. Enhanced search function helps with particular formulas or expressions.", acknowledgement = ack-nhfb, } @Article{Borwein:2006:FRO, author = "Jonathan M. Borwein", title = "Featured Review: {{\booktitle{Oxford Users' Guide to Mathematics}}. Edited by Eberhard Zeidler. Oxford University Press, Oxford, 2004. \$59.50. xxii + 1285 pp., softcover. ISBN 0-19-850763-1}", journal = j-SIAM-REVIEW, volume = "48", number = "3", pages = "585--594", month = sep, year = "2006", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/SIREAD000048000003000585000001", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Aug 31 09:49:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://epubs.siam.org/doi/abs/10.1137/SIREAD000048000003000585000001; http://www.jstor.org/stable/20453842", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Borwein:2006:MMC, author = "Jonathan M. Borwein", title = "Maximal monotonicity via convex analysis", journal = j-J-CONVEX-ANAL, volume = "13", number = "3--4", pages = "561--586", year = "2006", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "47H05 (47N10 49J53)", MRnumber = "2291552", MRreviewer = "Andrew C. Eberhard", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1235/; http://www.heldermann.de/JCA/JCA13/JCA133/jca13045.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Unpublished{Borwein:2006:MS, author = "Jonathan Borwein and Helaman Ferguson", title = "The mathematics of salt", month = dec, year = "2006", bibdate = "Tue Aug 16 10:05:43 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Borwein:2006:MST, author = "Jonathan M. Borwein", title = "Maximality of sums of two maximal monotone operators", journal = j-PROC-AM-MATH-SOC, volume = "134", number = "10", pages = "2951--2955", year = "2006", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-06-08323-7", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "47H05 (46A22 46N10 47N10 49J53)", MRnumber = "2231619", MRreviewer = "Teemu Pennanen", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1234/; http://www.jstor.org/stable/4098152", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Borwein:2006:PES, author = "David Borwein and Jonathan M. Borwein and David M. Bradley", title = "Parametric {Euler} sum identities", journal = j-J-MATH-ANAL-APPL, volume = "316", number = "1", pages = "328--338", month = apr, year = "2006", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2005.04.040", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "11M41", MRnumber = "2201764", MRreviewer = "Junesang Choi", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2006JMAA..316..328B; http://docserver.carma.newcastle.edu.au/1236/; http://www.sciencedirect.com/science/article/pii/S0022247X05003811", abstract = "We consider some parametrized classes of multiple sums first studied by Euler. Identities between meromorphic functions of one or more variables in many cases account for reduction formulae for these sums.", acknowledgement = ack-nhfb, eprint = "math/0505058", fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "Euler sums; Generating functions; Multiple zeta values; Zeta functions", } @Unpublished{Borwein:2006:QCT, author = "Jonathan Borwein and Peter (Liquin) Ye", title = "Quadratic Convergence of the Tanh--Sinh Quadrature Rule", month = feb, year = "2006", bibdate = "Tue Aug 16 10:18:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", URL = "http://docserver.carma.newcastle.edu.au/342/", acknowledgement = ack-nhfb, } @InProceedings{Borwein:2006:SCM, author = "Jonathan M. Borwein and Chris H. Hamilton", booktitle = "Proceedings of the 2006 International Symposium on Symbolic and Algebraic Computation: {ISSAC 2006}", title = "Symbolic Computation of Multidimensional {Fenchel} Conjugates", publisher = pub-ACM, address = pub-ACM:adr, pages = "23--30", year = "2006", DOI = "https://doi.org/10.1145/1145768.1145780", ISBN = "1-59593-276-3", ISBN-13 = "978-1-59593-276-1", MRclass = "68W30 (65K10)", MRnumber = "2289097", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "ISSAC '06", URL = "http://doi.acm.org/10.1145/1145768.1145780", acknowledgement = ack-nhfb, acmid = "1145780", keywords = "Fenchel conjugate, Legendre--Fenchel transform, computer proofs, inequalities, subdifferential, subgradient", location = "Genoa, Italy", numpages = "8", } @Article{Borwein:2006:SFM, author = "Jonathan Borwein", title = "{Simon Fitzpatrick} memorial volume", journal = j-J-CONVEX-ANAL, volume = "13", number = "3--4", pages = "463--476", year = "2006", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "01A70", MRnumber = "2291547", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Introduction to Fitzpatrick memorial volume.", URL = "http://www.heldermann.de/JCA/JCA13/JCA133/jca13040.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:2006:TTG, author = "Jonathan M. Borwein and David M. Bradley", title = "Thirty-two {Goldbach} variations", journal = j-INT-J-NUMBER-THEORY, volume = "2", number = "1", pages = "65--103", year = "2006", DOI = "https://doi.org/10.1142/S1793042106000383", ISSN = "1793-0421 (print), 1933-8368 (electronic)", MRclass = "11M41 (11M06)", MRnumber = "2217795", MRreviewer = "F. Beukers", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/301/", acknowledgement = ack-nhfb, fjournal = "International Journal of Number Theory", journal-URL = "http://www.worldscientific.com/worldscinet/ijnt", } @Article{Borwein:2006:VMC, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Variational methods in convex analysis", journal = j-J-GLOBAL-OPT, volume = "35", number = "2", pages = "197--213", year = "2006", CODEN = "JGOPEO", DOI = "https://doi.org/10.1007/s10898-005-3835-3", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "49J53 (90C25)", MRnumber = "2242012", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue in honour of Alex Rubinov's 65th birthday.", URL = "http://docserver.carma.newcastle.edu.au/259/", acknowledgement = ack-nhfb, fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", remark = "CoLab Preprint 259.", } @Article{Bailey:2007:BI, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Box integrals", journal = j-J-COMPUT-APPL-MATH, volume = "206", number = "1", pages = "196--208", month = sep, year = "2007", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2006.06.010", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65D30 (11Y60 33E20 60E05)", MRnumber = "2337437", MRreviewer = "Michael J. Evans", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2007JCoAM.206..196B; http://docserver.carma.newcastle.edu.au/320/; http://www.sciencedirect.com/science/article/pii/S0377042706004250", abstract = "By a ``box integral'' we mean here an expectation $ \bra | r \to - q \to | s \ket $ where $ r \to $ runs over the unit $n$-cube, with $ q \to $ and $s$ fixed, explicitly: $ \int_0^1 \cdots \int_0^1 ((r 1 - q 1) 2 + \cdots + (r n - q n) 2) s / 2 d r 1 \ldots d r n$. The study of box integrals leads one naturally into several disparate fields of analysis. While previous studies have focused upon symbolic evaluation and asymptotic analysis of special cases (notably $ s = 1$), we work herein more generally --- in interdisciplinary fashion --- developing results such as: (1) analytic continuation (in complex $s$), (2) relevant combinatorial identities, (3) rapidly converging series, (4) statistical inferences, (5) connections to mathematical physics, and (6) extreme-precision quadrature techniques appropriate for these integrals. These intuitions and results open up avenues of experimental mathematics, with a view to new conjectures and theorems on integrals of this type.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "Box integrals; High-precision quadrature; Multi-dimensional integrals", } @Book{Bailey:2007:EMA, author = "David H. Bailey and Jonathan M. Borwein and Neil J. Calkin and Roland Girgensohn and D. Russell Luke and Victor Moll", title = "Experimental Mathematics in Action", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xii + 322", year = "2007", ISBN = "1-56881-271-X", ISBN-13 = "978-1-56881-271-7", LCCN = "QA8.7 .E97 2007", bibdate = "Thu Oct 25 18:45:59 MDT 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; z3950.loc.gov:7090/Voyager", URL = "http://docserver.carma.newcastle.edu.au/1733/", acknowledgement = ack-nhfb, subject = "Experimental mathematics", tableofcontents = "Preface / xi \\ 1 A Philosophical Introduction / 1 \\ 1.1 Introduction / 1 \\ 1.2 Mathematical Knowledge as We View It / 1 \\ 1.3 Mathematical Reasoning / 2 \\ 1.4 Philosophy of Experimental Mathematics / 3 \\ 1.5 Our Experimental Mathodology / 11 \\ 1.6 Finding Things versus Proving Things / 15 \\ 1.7 Conclusions / 24 \\ 2 Algorithms for Experimental Mathematics I / 29 \\ 2.1 The Poetry of Computation / 29 \\ 2.2 High-Precision Arithmetic / 30 \\ 2.3 Integer Relation Detection / 31 \\ 2.4 Illustrations and Examples / 33 \\ 2.5 Definite Integrals and Infinite Series Summations / 43 \\ 2.6 Computation of Multivariate Zeta Values / 44 \\ 2.7 Ramanujan-Type Elliptic Series / 45 \\ 3 Algorithms for Experimental Mathematics II / 53 \\ 3.1 True Scientific Value / 53 \\ 3.2 Prime Number Computations / 55 \\ 3.3 Roots of Polynomials / 58 \\ 3.4 Numerical Quadrature / 61 \\ 3.5 Infinite Series Summation / 67 \\ 3.6 Ap{\'e}ry-Like Summations / 70 \\ 4 Exploration and Discovery in Inverse Scattering / 79 \\ 4.1 Metaphysics and Mechanics / 79 \\ 4.2 The Physical Experiment / 80 \\ 4.3 The Model / 83 \\ 4.4 The Mathematical Experiment: Qualitative Inverse Scattering / 90 \\ 4.5 Current Research / 107 \\ 5 Exploring Strange Functions on the Computer / 113 \\ 5.1 What Is ``Strange''? / 113 \\ 5.2 Nowhere Differentiable Functions / 114 \\ 5.3 Bernoulli Convolutions / 126 \\ 6 Random Vectors and Factoring Integers: A Case Study / 139 \\ 6.1 Learning from Experience / 139 \\ 6.2 Integer Factorization / 140 \\ 6.3 Random Models / 143 \\ 6.4 The Main Questions / 144 \\ 6.5 Bounds / 145 \\ 6.6 Which Model Is Best? / 149 \\ 6.7 Experimental Evidence / 155 \\ 6.8 Conclusions / 158 \\ 7 A Selection of Integrals from a Popular Table / 161 \\ 7.1 The Allure of the Integral / 161 \\ 7.2 The Project and Its Experimental Nature / 163 \\ 7.3 Families and Individuals / 164 \\ 7.4 An Experimental Derivation of Wallis' Formula / 167 \\ 7.5 A Hyperbolic Example / 170 \\ 7.6 A Formula Hidden in the List / 174 \\ 7.7 Some Experiments on Valuations / 177 \\ 7.8 An Error in the Latest Edition / 184 \\ 7.9 Some Examples Involving the Hurwitz Zeta Function / 185 \\ 8 Experimental Mathematics: A Computational Conclusion / 189 \\ 8.1 Mathematicians Are a Kind of Frenchmen / 189 \\ 8.2 Putting Lessons in Action / 190 \\ 8.3 Visual Computing / 191 \\ 8.4 A Preliminary Example: Visualizing DNA Strands / 194 \\ 8.5 What Is a Chaos Game? / 195 \\ 8.6 Hilbert's Inequality and Witten's Zeta Function / 202 \\ 8.7 Computational Challenge Problems / 214 \\ 8.8 Last Words / 222 \\ 9 Exercises / 225 \\ Exercises for Chapter 1 / 225 \\ Exercises for Chapter 2 / 231 \\ Exercises for Chapter 3 / 249 \\ Exercises for Chapter 4 / 256 \\ Exercises for Chapter 5 / 260 \\ Exercises for Chapter 6 / 262 \\ Exercises for Chapter 7 / 265 \\ Exercises for Chapter 8 / 273 \\ Additional Exercises / 280 \\ Bibliography / 301 \\ Index / 317", } @Article{Bailey:2007:HFI, author = "D. H. Bailey and D. Borwein and J. M. Borwein and R. E. Crandall", title = "Hypergeometric Forms for {Ising}-Class Integrals", journal = j-EXP-MATH, volume = "16", number = "3", pages = "257--276", year = "2007", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2007.10129003", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "33E20 (33C05 33F05 33F10 65D30 82B20)", MRnumber = "2367317", MRreviewer = "Wadim Zudilin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/16/3", URL = "http://docserver.carma.newcastle.edu.au/326/; http://projecteuclid.org/euclid.em/1204928528", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Unpublished{Bailey:2007:HSI, author = "D. Bailey and J. Borwein and R. Crandall and D. Manna", title = "{Heisenberg} spin integrals", month = aug, year = "2007", bibdate = "Tue Aug 16 10:04:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @TechReport{Bailey:2007:SPa, author = "David H. Bailey and Jonathan M. Borwein", title = "Solution to Problem 11275", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada", pages = "2", day = "24", month = feb, year = "2007", bibdate = "Fri Sep 30 08:29:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/amm-11275.pdf", acknowledgement = ack-nhfb, } @TechReport{Bailey:2007:SPb, author = "David H. Bailey and Jonathan M. Borwein", title = "Solution to Monthly Problem 11277", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada", pages = "3", day = "23", month = mar, year = "2007", bibdate = "Fri Sep 30 08:30:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/amm-11277.pdf", acknowledgement = ack-nhfb, } @Article{Bartz:2007:FFC, author = "Sedi Bartz and Heinz H. Bauschke and Jonathan M. Borwein and Simeon Reich and Xianfu Wang", title = "{Fitzpatrick} functions, cyclic monotonicity and {Rockafellar}'s antiderivative", journal = j-NONLINEAR-ANAL, volume = "66", number = "5", pages = "1198--1223", year = "2007", CODEN = "NOANDD", DOI = "https://doi.org/10.1016/j.na.2006.01.013", ISSN = "0362-546x (print), 1873-5215 (electronic)", ISSN-L = "0362-546X", MRclass = "47H05 (47N10 49J53 90C25)", MRnumber = "2286629", MRreviewer = "Patrick L. Combettes", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1232/; http://www.sciencedirect.com/science/article/pii/S0362546X06000435", abstract = "Several deeper results on maximal monotone operators have recently found simpler proofs using Fitzpatrick functions. In this paper, we study a sequence of Fitzpatrick functions associated with a monotone operator. The first term of this sequence coincides with the original Fitzpatrick function, and the other terms turn out to be useful for the identification and characterization of cyclic monotonicity properties. It is shown that for any maximal cyclically monotone operator, the pointwise supremum of the sequence of Fitzpatrick functions is closely related to Rockafellar's antiderivative. Several examples are explicitly computed for the purpose of illustration. In contrast to Rockafellar's result, a maximal 3-cyclically monotone operator need not be maximal monotone. A simplified proof of Asplund's observation that the rotation in the Euclidean plane by \pi / n is n -cyclically monotone but not ( n + 1 ) -cyclically monotone is provided. The Fitzpatrick family of the subdifferential operator of a sublinear and of an indicator function is studied in detail. We conclude with a new proof of Moreau's result concerning the convexity of the set of proximal mappings.", acknowledgement = ack-nhfb, fjournal = "Nonlinear Analysis. Theory, Methods \& Applications. An International Multidisciplinary Journal. Series A: Theory and Methods", keywords = "Convex function; Cyclically monotone operator; Fenchel conjugate; Fitzpatrick function; Maximal monotone operator; Subdifferential operator; Sublinear function", } @Article{Bauschke:2007:FFC, author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang", title = "{Fitzpatrick} functions and continuous linear monotone operators", journal = j-SIAM-J-OPT, volume = "18", number = "3", pages = "789--809", year = "2007", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/060655468", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "47H05 (47B65 90C25)", MRnumber = "2345969", MRreviewer = "P. P. Zabre{\u\i}ko", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/319/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:2007:ADMa, author = "Jonathan Borwein and Herre Wiersma", title = "{Asplund} decomposition of monotone operators", journal = j-SIAM-J-OPT, volume = "18", number = "3", pages = "946--960", year = "2007", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/060658357", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "47H05 (47N10 49J53 52A41)", MRnumber = "2345978", MRreviewer = "Hong Kun Xu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/321/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @InCollection{Borwein:2007:ADMb, author = "Jonathan M. Borwein", editor = "Alain Pietrus and Michel H. Geoffroy", booktitle = "{CSVAA} 2004---control set-valued analysis and applications, ESAIM: Proceedings", title = "{Asplund} decompositions of monotone operators", volume = "17", publisher = "EDP Sci.", address = "Les Ulis, France", pages = "19--25", year = "2007", DOI = "https://doi.org/10.1051/proc:071703", MRclass = "47H05 (41A50 46B03 46B20 46G05 47N10 49J53)", MRnumber = "2362689", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "ESAIM Proc.", URL = "http://docserver.carma.newcastle.edu.au/299/", acknowledgement = ack-nhfb, } @InProceedings{Borwein:2007:CCS, author = "Jonathan M. Borwein and David Langstroth and Mason Macklem and Scott Wilson and V. Jungi{\'c}", booktitle = "{21st International Symposium on High Performance Computing Systems and Applications. HPCS 2007, Saskatoon, SK, Canada, 13--16 May 2007}", title = "The Coast-to-Coast Seminar and Remote Mathematical Collaboration", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "23--29", month = may, year = "2007", DOI = "https://doi.org/10.1109/HPCS.2007.30", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, book-isbn = "0-7695-2813-9", keywords = "AccessGrid; Australia; Canadian universities; coast-to-coast seminar; Collaboration; Collaborative work; computer aided instruction; Computer displays; Computer networks; Dalhousie University; Distributed computing; grid computing; groupware; Mathematics; mathematics computing; Production; remote mathematical collaboration; seminar series; Seminars; Simon Fraser University; Virtual environment", } @Article{Borwein:2007:CDS, author = "Jonathan M. Borwein", title = "A class of {Dirichlet} series integrals", journal = j-AMER-MATH-MONTHLY, volume = "114", number = "1", pages = "70--76", month = jan, year = "2007", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "40A10 (26A42)", MRnumber = "2283644", MRreviewer = "Ilaria Mantellini", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/262/; http://www.jstor.org/stable/27642121", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", remark = "CoLab Preprint 262.", } @InCollection{Borwein:2007:CNS, author = "Jonathan M. Borwein and Warren B. Moors", editor = "Elliott Pearl", booktitle = "Open Problems in Topology {II}", title = "Chapter 50: {Non-smooth} analysis, optimisation theory and {Banach} space theory", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "549--559", year = "2007", DOI = "https://doi.org/10.1016/B978-044452208-5/50050-8", ISBN = "0-444-52208-5", ISBN-13 = "978-0-444-52208-5", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/B9780444522085500508", abstract = "This chapter discusses about nonsmooth analysis, optimization theory, and Banach space theory. A Banach space X is called a weak Asplund space [G{\^a}teaux differentiability space] if each continuous convex function defined on it is G{\^a}teaux differentiable at the points of a residual subset (that is, a subset that contains the intersection of countably many dense open subsets of X) [dense subset] of its domain. For a Banach space (X, || \cdot || ), with closed unit ball BX, the Bishop--Phelps set is the set of all linear functionals in the dual X* that attain their maximum value over BX; that is, the set {x* \subset X*: x*(x) = || x*|| for some x \subset BX}. The Bishop--Phelps Theorem says that the Bishop--Phelps set is always dense in X*. A Banach space X has the attainable approximation property (AAP) if the set of support functionals for any closed bounded convex subset W \subseteq X is norm dense in X*. The concepts related to the Bishop--Phelps problem and the complex Bishop--Phelps property are also discussed. Concepts of biorthogonal sequences and support points are also elaborated.", acknowledgement = ack-nhfb, } @Article{Borwein:2007:DCR, author = "D. Borwein and J. Borwein and R. Crandall and R. Mayer", title = "On the dynamics of certain recurrence relations", journal = j-RAMANUJAN-J, volume = "13", number = "1--3", pages = "63--101", year = "2007", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-006-0243-3", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11B37 (11A55 11Y16 37C99 37E99 39A10 65Q05)", MRnumber = "2281157", MRreviewer = "James G. Mc Laughlin", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/253/; http://link.springer.com/article/10.1007/s11139-006-0243-3", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", remark = "CoLab Preprint 253.", } @TechReport{Borwein:2007:ELAa, author = "David Borwein and Jonathan Borwein and Richard Crandall", title = "Effective {Laguerre} asymptotics", type = "Report", institution = "Department of Computer Science, Dalhousie University", address = "Halifax, NS, Canada B3H 4R2", year = "2007", bibdate = "Thu Aug 11 08:24:07 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://docserver.carma.newcastle.edu.au/334/; http://locutus.cs.dal.ca:8088/archive/00000334/; http://web.archive.org/web/20070208032521/http://locutus.cs.dal.ca:8088/archive/00000334/", abstract = "It is known that the generalized Laguerre polynomials can enjoy sub-exponential growth for large primary index. Specifically, for certain fixed parameter pairs $ (a, z) $ one has the large-$n$ asymptotic $$ L_n^{( - a)}( - z) \sim C(a, z) n^{-a / 2 - 1 / 4} e^{2 \sqrt {nz}}. $$ We introduce a computationally motivated contour integral that allows highly efficient numerical evaluation of $ L_n$, yet also leads to general asymptotic series over the full domain for sub-exponential behavior. We eventually lay out a fast algorithm for generation of the rather formidable expansion coefficients. Along the way we address the difficult problem of establishing effective (i.e., rigorous and explicit) error bounds on the general expansion. To this end, we avoid classical stationary-phase and steepest-descent techniques in favor of an ``exp-arc'' method that amounts to a natural bridge between converging series and effective asymptotics. Finally, we exhibit an absolutely convergent exp-arc series for Bessel-function evaluation as an alternative to conventional ascending-asymptotic switching.", acknowledgement = ack-nhfb, } @Article{Borwein:2007:IPA, author = "Jonathan M. Borwein and Marc Chamberland", title = "Integer powers of arcsin", journal = j-INT-J-MATH-MATH-SCI, pages = "Art. ID 19381, 10", month = jun, year = "2007", DOI = "https://doi.org/10.1155/2007/19381", ISSN = "0161-1712 (print), 1687-0425 (electronic)", ISSN-L = "0161-1712", MRclass = "33B10 (11B65 33B30)", MRnumber = "2320777", MRreviewer = "Stefan Gerhold", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/287/", acknowledgement = ack-nhfb, fjournal = "International Journal of Mathematics and Mathematical Sciences", journal-URL = "https://www.hindawi.com/journals/ijmms/", } @Article{Borwein:2007:MST, author = "Jonathan M. Borwein", title = "Maximality of sums of two maximal monotone operators in general {Banach} space", journal = j-PROC-AM-MATH-SOC, volume = "135", number = "12", pages = "3917--3924", month = dec, year = "2007", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-07-08960-5", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "47H05 (46N10 52A41)", MRnumber = "2341941", MRreviewer = "S{\'a}ndor Z. N{\'e}meth", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/322/; http://www.jstor.org/stable/20535029", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @InCollection{Borwein:2007:NAA, author = "Jonathan M. Borwein and Warren B. Moors", title = "Nonsmooth Analysis, Approximation Theory and {Banach} Space Theory", crossref = "Pearl:2007:OPT", pages = "557--566", year = "2007", bibdate = "Sat Aug 13 17:04:44 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Borwein:2007:PCS, author = "Jonathan M. Borwein", title = "Proximality and {Chebyshev} sets", journal = j-OPTIM-LETT, volume = "1", number = "1", pages = "21--32", year = "2007", DOI = "https://doi.org/10.1007/s11590-006-0014-5", ISSN = "1862-4472 (print), 1862-4480 (electronic)", ISSN-L = "1862-4472", MRclass = "41A50 (46A55 46N10 47J20 49J53)", MRnumber = "2357605", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/323/", acknowledgement = ack-nhfb, ajournal = "Optim. Lett.", fjournal = "Optimization Letters", journal-URL = "http://link.springer.com/journal/11590", } @Article{Borwein:2007:PRB, author = "J. M. Borwein and B. Salvy", title = "A Proof of a Recursion for {Bessel} Moments", journal = "ArXiv e-prints", month = jun, year = "2007", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2007arXiv0706.1409B; http://docserver.carma.newcastle.edu.au/346/", abstract = "We provide a proof of a conjecture in (Bailey, Borwein, Borwein, Crandall 2007) on the existence and form of linear recursions for moments of powers of the Bessel function $ K_0 $.", acknowledgement = ack-nhfb, eprint = "0706.1409", keywords = "Computer Science - Symbolic Computation, Mathematics - Classical Analysis and ODEs", primaryclass = "cs.SC", } @Unpublished{Borwein:2007:REM, author = "J. M. Borwein and Mason Macklem", title = "Retro-enhancement of Mathematical Literature", month = mar, year = "2007", bibdate = "Tue Aug 16 10:05:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", URL = "http://docserver.carma.newcastle.edu.au/339/", acknowledgement = ack-nhfb, } @Article{Borwein:2007:VPE, author = "David Borwein and Jonathan Borwein", title = "{van der Pol} Expansions of {$L$}-Series", journal = j-CAN-MATH-BULL, volume = "50", number = "1", pages = "11--23", month = mar, year = "2007", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-2007-002-0", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "11M35 (11M41)", MRnumber = "2296621", MRreviewer = "Saulius Zamarys", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cmb/v50/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", URL = "http://docserver.carma.newcastle.edu.au/283/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @InCollection{Bailey:2008:CAD, author = "David H. Bailey and Jonathan M. Borwein", booktitle = "Tapas in experimental mathematics", title = "Computer-assisted discovery and proof", volume = "457", publisher = pub-AMS, address = pub-AMS:adr, pages = "21--52", year = "2008", DOI = "https://doi.org/10.1090/conm/457/08901", MRclass = "11Y99 (68T15 68U35 68W30)", MRnumber = "2427663", MRreviewer = "Jeffrey O. Shallit", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemp. Math.", URL = "http://docserver.carma.newcastle.edu.au/338/", acknowledgement = ack-nhfb, } @InProceedings{Bailey:2008:EEB, author = "David H. Bailey and Jonathan M. Borwein", title = "Effective Error Bounds for {Euler--Maclaurin}-Based Quadrature Schemes", crossref = "IEEE:2008:HIS", pages = "??--??", year = "2008", bibdate = "Sat Aug 13 17:20:17 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", pagecount = "7", } @Article{Bailey:2008:EIE, author = "David H. Bailey and Jonathan M. Borwein and David Broadhurst and M. L. Glasser", title = "Elliptic integral evaluations of {Bessel} moments and applications", journal = j-J-PHYS-A-MATH-THEOR, volume = "41", number = "20", pages = "205203", month = may, year = "2008", CODEN = "JPAMB5", DOI = "https://doi.org/10.1088/1751-8113/41/20/205203", ISSN = "1751-8113 (print), 1751-8121 (electronic)", ISSN-L = "1751-8113", MRclass = "33C10 (33E05 33F05)", MRnumber = "2450513", MRreviewer = "Subuhi Khan", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2008JPhA...41t5203B; http://arxiv.org/abs/0801.0891; http://iopscience.iop.org/article/10.1088/1751-8113/41/20/205203; http://stacks.iop.org/1751-8121/41/i=20/a=205203", abstract = "We record and substantially extend what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical physics. In particular, we develop formulae for integrals of products of six or fewer Bessel functions. In consequence, we are able to discover and prove closed forms for $ c_{n, k} \coloneq {\int }^\infty_0 t^k K^n_0 (t) d t $ with integers $ n = 1, 2, 3, 4 $ and $ k \geq 0 $, obtaining new results for the even moments $ c_{3, 2k} $ and $ c_{4, 2k} $. We also derive new closed forms for the odd moments $ s_{n, 2k + 1} \coloneq \int^\infty_0 t^{2k + 1} I_0 (t) K^{n - 1}_0 (t) \, d t $ with $ n = 3, 4 $ and for $ t_{n, 2k + 1} \coloneq \int^\infty_0 t^{2k + 1} I^2_0 (t) K^{n - 2}_0 (t) \, d t $ with $ n = 5 $, relating the latter to Green functions on hexagonal, diamond and cubic lattices. We conjecture the values of $ s_{5, 2k + 1} $, make substantial progress on the evaluation of $ c_{5, 2k + 1} $, $ s_{6, 2k + 1} $ and $ t_{6, 2k + 1} $ and report more limited progress regarding $ c_{5, 2k} $, $ c_{6, 2k + 1} $ and $ c_{6, 2k} $. In the process, we obtain eight conjectural evaluations, each of which has been checked to 1200 decimal places. One of these lies deep in four-dimensional quantum field theory and two are probably provable by delicate combinatorics. There remains a hard core of five conjectures whose proofs would be most instructive, to mathematicians and physicists alike.", acknowledgement = ack-nhfb, eid = "205203", eprint = "0801.0891", fjournal = "Journal of Physics. A. Mathematical and Theoretical", journal-URL = "http://iopscience.iop.org/1751-8121", pagecount = "46", primaryclass = "hep-th", } @InProceedings{Bailey:2008:HPC, author = "D. H. Bailey and J. M. Borwein", booktitle = "Proceedings of {XII} Advanced Computing and Analysis Techniques in Physics Research", title = "High-Precision Computation and Mathematical Physics", publisher = "????", address = "????", pages = "14", year = "2008", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2008acat.confE..14B; http://docserver.carma.newcastle.edu.au/386/", acknowledgement = ack-nhfb, } @TechReport{Bailey:2008:HPH, author = "David H. Bailey and Jonathan M. Borwein", title = "Highly Parallel, High-Precision Numerical Integration", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada", pages = "18", day = "1", month = apr, year = "2008", bibdate = "Fri Sep 30 08:30:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/quadparallel.pdf", abstract = "This paper describes schemes for rapidly computing numerical values of definite integrals to very high accuracy (hundreds to thousands of digits) on highly parallel computer systems. Such schemes are of interest not only in computational physics and computational chemistry, but also in experimental mathematics, where high-precision numerical values of definite integrals can be used to numerically discover new identities. This paper presents performance results for 1-D and 2-D integral test suites on highly parallel computer systems. Results are also given for certain problems that derive from mathematical physics. One of these results confirms a conjecture to 20,000 digit accuracy. The performance rate for this calculation is 690 Gflop/s on 1024 CPUs of a state-of-the-art parallel system. Other results, which range in precision from 120 to 500 digits, and for 1-D, 2-D, 3-D and 4-D integrals, derive from Ising theory. The largest of these calculations required 28 hours on 256 CPUs. We believe that these are the first instances of evaluations of nontrivial 3-D and 4-D integrals to multi-hundred-digit accuracy.", acknowledgement = ack-nhfb, } @InCollection{Bailey:2008:HPN, author = "D. H. Bailey and J. M. Borwein", booktitle = "MICA conference May 2008", title = "High-Precision Numerical Integration: Progress and Challenges", publisher = "????", address = "????", pages = "??--??", year = "2008", bibdate = "Sat Aug 13 16:39:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1444/", acknowledgement = ack-nhfb, } @TechReport{Bailey:2008:PSP, author = "David H. Bailey and Jonathan M. Borwein", title = "Proposed {SIAM} Problem", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada", pages = "2", day = "12", month = aug, year = "2008", bibdate = "Fri Sep 30 08:36:07 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/siam-bessel.pdf", abstract = "[From the introduction:] A recent paper by the present authors, together with mathematical physicists David Broadhurst and M. Larry Glasser, explored Bessel moment integrals, namely definite integrals of the general form $ \int_0^\infty t^m f^n(t) \, d t $, where the function $ f(t) $ is one of the classical Bessel functions [2]. In that paper, numerous previously unknown analytic evaluations were obtained, using a combination of analytic methods together with some fairly high-powered numerical computations, often performed on highly parallel computers.", acknowledgement = ack-nhfb, keywords = "Bessel moment integrals", } @Article{Baillie:2008:SSS, author = "Robert Baillie and David Borwein and Jonathan M. Borwein", title = "Surprising sinc sums and integrals", journal = j-AMER-MATH-MONTHLY, volume = "115", number = "10", pages = "888--901", month = dec, year = "2008", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "33B10 (26D05 40A25 42A05)", MRnumber = "2468551", MRreviewer = "Valery V. Karachik", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/332/; http://www.jstor.org/stable/27642636", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Unpublished{Borwein:2008:BST, author = "J. M. Borwein and A. C. Eberhard", title = "{Banach} spaces of type ({NI}) and monotone operators on non-reflexive spaces", month = jun, year = "2008", bibdate = "Tue Aug 16 10:02:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @InCollection{Borwein:2008:CCC, author = "J. Borwein and V. Jungi{\'c} and D. Langstroth and M. Macklem and S. Wilson", title = "Coast-to-Coast (C2C) Seminar: Background, History, and Practice", crossref = "Borwein:2008:CMD", chapter = "9", pages = "127--140", year = "2008", DOI = "https://doi.org/10.1201/b10587-12", bibdate = "Sat Aug 13 16:51:32 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.crcnetbase.com/doi/pdfplus/10.1201/b10587-12", acknowledgement = ack-nhfb, } @Article{Borwein:2008:DRT, author = "Jonathan M. Borwein and D. Russell Luke", title = "Dynamics of a {Ramanujan}-type continued fraction with cyclic coefficients", journal = j-RAMANUJAN-J, volume = "16", number = "3", pages = "285--304", year = "2008", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-007-9096-7", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "40A15 (11J70)", MRnumber = "2429902", MRreviewer = "Haakon S. Waadeland", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1480/", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", remark = "CoLab Preprint 261.", } @Article{Borwein:2008:EBF, author = "David Borwein and Jonathan M. Borwein and O-Yeat Chan", title = "The evaluation of {Bessel} functions via exp-arc integrals", journal = j-J-MATH-ANAL-APPL, volume = "341", number = "1", pages = "478--500", month = may, year = "2008", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2007.10.003", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "33C10 (33F05 65D20)", MRnumber = "2394100", MRreviewer = "Richard B. Paris", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2008JMAA..341..478B; http://docserver.carma.newcastle.edu.au/1231/; http://www.sciencedirect.com/science/article/pii/S0022247X07012346", abstract = "A standard method for computing values of Bessel functions has been to use the well-known ascending series for small argument, and to use an asymptotic series for large argument; with the choice of the series changing at some appropriate argument magnitude, depending on the number of digits required. In a recent paper, D. Borwein, J. Borwein, and R. Crandall [D. Borwein, J. M. Borwein, R. Crandall, Effective Laguerre asymptotics, preprint at http://locutus.cs.dal.ca:8088/archive/00000334/] derived a series for an ``exp-arc'' integral which gave rise to an absolutely convergent series for the J and I Bessel functions with integral order. Such series can be rapidly evaluated via recursion and elementary operations, and provide a viable alternative to the conventional ascending-asymptotic switching. In the present work, we extend the method to deal with Bessel functions of general (non-integral) order, as well as to deal with the Y and K Bessel functions.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "Bessel function; Exponential-hyperbolic expansions; Uniform series expansion", } @Article{Borwein:2008:ECE, author = "J. M. Borwein and I. J. Zucker and J. Boersma", title = "The evaluation of character {Euler} double sums", journal = j-RAMANUJAN-J, volume = "15", number = "3", pages = "377--405", year = "2008", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-007-9083-z", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11M41 (11M06)", MRnumber = "2390277", MRreviewer = "Stamatis Koumandos", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/255/; http://link.springer.com/article/10.1007/s11139-007-9083-z", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", remark = "CoLab Preprint 260.", } @Article{Borwein:2008:ELA, author = "David Borwein and Jonathan M. Borwein and Richard E. Crandall", title = "Effective {Laguerre} asymptotics", journal = j-SIAM-J-NUMER-ANAL, volume = "46", number = "6", pages = "3285--3312", year = "2008", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/07068031X", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "33C65 (30E20 34E05)", MRnumber = "2448665", MRreviewer = "Yu-Qiu Zhao", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/334/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Borwein:2008:HIW, author = "Jonathan M. Borwein", title = "{Hilbert}'s Inequality and {Witten}'s Zeta-Function", journal = j-AMER-MATH-MONTHLY, volume = "115", number = "2", pages = "125--137", month = feb, year = "2008", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jan 30 12:00:30 MST 2012", bibsource = "http://www.jstor.org/journals/00029890.html; http://www.jstor.org/stable/i27642413; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly2000.bib", URL = "http://www.jstor.org/stable/27642418", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @InCollection{Borwein:2008:IEM, author = "Jonathan Borwein", title = "Implications of experimental mathematics for the philosophy of mathematics", crossref = "Gold:2008:POD", chapter = "2", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "33--61", year = "2008", MRclass = "00A30 (03A05)", MRnumber = "2452073", bibdate = "Sat Aug 13 16:37:59 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "MAA Spectrum", URL = "http://docserver.carma.newcastle.edu.au/280/", acknowledgement = ack-nhfb, xxpages = "33--59", } @Book{Borwein:2008:ME, author = "Jonathan Borwein and David Bailey", title = "Mathematics by Experiment", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, edition = "Second", pages = "xii + 377", year = "2008", DOI = "https://doi.org/10.1201/b10704", ISBN = "1-56881-442-9, 1-4398-6536-1 (PDF e-book)", ISBN-13 = "978-1-56881-442-1, 978-1-4398-6536-1 (PDF e-book)", LCCN = "QA76.95 .B67 2008", MRclass = "00A35 (37-04)", MRnumber = "2473161", MRreviewer = "Michael Otte", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plausible reasoning in the 21st Century.", URL = "http://docserver.carma.newcastle.edu.au/272/", acknowledgement = ack-nhfb, tableofcontents = "Front matter / i \\ 1. What is experimental mathematics? / 1 \\ 2. Experimental mathematics in action / 47 \\ 3. Pi and its friends / 103 \\ 4. Normality of numbers / 143 \\ 5. The power of constructive proofs / 175 \\ 6. Numerical techniques / 215 \\ 7. Recent experiences / 243 \\ Bibliography / 349", } @Article{Borwein:2008:PRB, author = "Jonathan M. Borwein and Bruno Salvy", title = "A Proof of a Recurrence for {Bessel} Moments", journal = j-EXP-MATH, volume = "17", number = "2", pages = "223--230", year = "2008", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2008.10129032", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "68W30 (33C10 33E30 33F10)", MRnumber = "2433887", MRreviewer = "Carsten Schneider", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/17/2", URL = "http://docserver.carma.newcastle.edu.au/346/; http://projecteuclid.org/euclid.em/1227118973", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @InProceedings{Borwein:2008:VPG, author = "J. M. Borwein", editor = "????", booktitle = "Mathematics and Culture, La matematica: Problemi e teoremi", title = "La vita di pi greco. ({Italian}) [{The} life of {Greek} pi]", publisher = "Guilio Einaudi Editori", address = "Turino, Italy", pages = "??--??", year = "2008", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://www.carma.newcastle.edu.au/~jb616/pi-2010.pdf", acknowledgement = ack-nhfb, language = "Italian", remark = "CoLab Preprint 265", } @InCollection{Borwein:2008:WEM, author = "J. M. Borwein and D. H. Bailey", editor = "Giovanni Treccani", booktitle = "Enciclopedia della Scienza e della Tecnica", title = "What is Experimental Mathematics", publisher = "????", address = "Roma, Italia", pages = "??--??", year = "2008", bibdate = "Sat Aug 13 16:32:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Reprint of \cite[Chapter 1]{Borwein:2004:MEP}.", acknowledgement = ack-nhfb, xxnote = "Check: is Treccani the editor or publisher?? I cannot find this book in library catalogs or large booksellers.", } @Article{Eberhard:2008:SOC, author = "A. C. Eberhard and J. M. Borwein", title = "Second Order Cones for Maximal Monotone Operators via Representative Functions", journal = j-SET-VALUED-ANAL, volume = "16", number = "2--3", pages = "157--184", year = "2008", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/s11228-008-0075-y", ISSN = "0927-6947 (print), 1572-932X (electronic)", ISSN-L = "0927-6947", MRclass = "49J53 (46N10 47H04 47H05 47N10)", MRnumber = "2399200", MRreviewer = "Nicolas Hadjisavvas", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/348/; http://link.springer.com/article/10.1007/s11228-008-0075-y", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Bailey:2009:EMCa, author = "David H. Bailey and Jonathan M. Borwein", title = "Experimental mathematics and computational statistics", journal = "Wiley Interdisciplinary Reviews: Computational Statistics", volume = "1", number = "1", pages = "12--24", year = "2009", DOI = "https://doi.org/10.1002/wics.1", ISSN = "1939-0068 (print), 1939-5108 (electronic)", ISSN-L = "1939-0068", bibdate = "Thu Aug 11 11:01:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1227/", abstract = "The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article, we explore connections between statistics and the emerging field of experimental mathematics. These include both applications of experimental mathematics in statistics as well as statistical methods applied to computational mathematics.", acknowledgement = ack-nhfb, keywords = "experimental mathematics, numerical integration, numerical analysis, computational statistics", } @InCollection{Bailey:2009:EMCb, author = "D. H. Bailey and J. M. Borwein", booktitle = "Online Encyclopedia of Computational Statistics. {A} {Wiley} Interdisciplinary Review", title = "Experimental Mathematics and Computational Statistics", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "??--??", month = jul, year = "2009", DOI = "", LCCN = "", bibdate = "Fri Aug 12 09:29:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://ca.wiley.com/WileyCDA/Section/id-390445.html; http://docserver.carma.newcastle.edu.au/1227/; http://www.wiley.com/WileyCDA/WileyTitle/productCd-0470973889.html", acknowledgement = ack-nhfb, remark = "Probably identical to \cite{Bailey:2009:EMCa}. Appears to be first edition, but not available at publisher site.", xxISBN = "0-470-97388-9 (second edition)", xxisbn-13 = "978-0-470-97388-2 (second edition)", } @Article{Bailey:2009:HPH, author = "David Bailey and Jonathan Borwein", title = "Highly parallel, high precision integration", journal = "International Journal of Computational Science and Engineering", volume = "4", number = "??", pages = "??--??", month = "????", year = "2009", ISSN = "1742-7185 (print), 1742-7193 (electronic)", ISSN-L = "1742-7185", bibdate = "Fri Aug 12 09:16:29 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/294/", acknowledgement = ack-nhfb, journal-URL = "http://www.inderscience.com/jhome.php?jcode=ijcse", remark = "I cannot find this article at the publisher site, which lacks metadata by volume, and fails to find author or title values.", } @Article{Bailey:2009:PAD, author = "David H. Bailey and Jonathan M. Borwein", title = "{PSLQ}: an Algorithm to Discover to Integer Relations", journal = "Computeralgebra Rundbrief", volume = "45", number = "??", pages = "8--11", month = oct, year = "2009", ISSN = "0933-5994", ISSN-L = "0933-5994", bibdate = "Sat Aug 13 16:11:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.fachgruppe-computeralgebra.de/cms/tiki-index.php?page=Rundbrief", acknowledgement = ack-nhfb, journal-URL = "http://www.fachgruppe-computeralgebra.de/rundbrief/", } @Article{Bailey:2009:RQR, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Resolution of the {Quinn--Rand--Strogatz} Constant of Nonlinear Physics", journal = j-EXP-MATH, volume = "18", number = "1", pages = "107--116", year = "2009", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2009.10128885", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60 (11M35 11Z05)", MRnumber = "2548991", MRreviewer = "Herman J. J. te Riele", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/18/1", URL = "http://docserver.carma.newcastle.edu.au/345/; http://projecteuclid.org/euclid.em/1243430534", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @TechReport{Bailey:2009:SMPa, author = "David H. Bailey and Jonathan M. Borwein", title = "Solution to {{\booktitle{Monthly}}} Problem \#11418", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University and School of Mathematical and Physical Sciences, University of Newcastle", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada and Callaghan, NSW 2308, Australia", day = "6", month = jul, year = "2009", bibdate = "Fri Sep 30 08:40:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/amm-11418.pdf", acknowledgement = ack-nhfb, remark = "The report evaluates the integral $ J = \int_\infty^\infty \frac {t^2 \sech^2(t)}{a - \tanh (t)} \, d t $ for complex $ |a| > 1 $.", } @TechReport{Bailey:2009:SMPb, author = "David H. Bailey and Jonathan M. Borwein", title = "Solutions to {{\booktitle{Monthly}}} Problems 11456 and 11457", type = "Report", institution = "Lawrence Berkeley National Laboratory and Faculty of Computer Science, Dalhousie University", address = "Berkeley, CA 94720, USA and Halifax, NS, B3H 2W5, Canada", pages = "2", day = "10", month = oct, year = "2009", bibdate = "Fri Sep 30 08:34:31 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/amm-11456.pdf", acknowledgement = ack-nhfb, } @Book{Borwein:2009:CCI, author = "Jonathan M. Borwein and Keith J. Devlin", title = "The computer as crucible: an introduction to experimental mathematics", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xi + 158", year = "2009", ISBN = "1-56881-343-0", ISBN-13 = "978-1-56881-343-1", LCCN = "QA8.7 .B67 2009", MRclass = "00A35 (11-04 11Y16 11Y60)", MRnumber = "2464847", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Tue Nov 10 17:48:24 MST 2009", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; z3950.loc.gov:7090/Voyager", URL = "http://docserver.carma.newcastle.edu.au/1730/; http://www.loc.gov/catdir/toc/fy0904/2008022180.html", acknowledgement = ack-nhfb, libnote = "Not in my library.", subject = "Experimental mathematics", tableofcontents = "What is experimental mathematics? \\ What is the quadrillionth decimal place of $pi$? \\ What is that number? \\ The most important function in mathematics \\ Evaluate the following integral \\ Serendipity \\ Calculating [pi] \\ The computer knows more math than you do \\ Take it to the limit \\ Danger! Always exercise caution when using the computer \\ Stuff we left out (until now)", } @InProceedings{Borwein:2009:DAD, author = "J. M. Borwein", title = "Digitally-assisted discovery and proof", crossref = "Lin:2009:PPM", pages = "I.3--I.11", year = "2009", bibdate = "Sat Aug 13 16:21:36 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary address.", URL = "http://docserver.carma.newcastle.edu.au/390/", acknowledgement = ack-nhfb, } @Article{Borwein:2009:DCF, author = "Jonathan Borwein and Jon Vanderwerff", title = "Differentiability of conjugate functions and perturbed minimization principles", journal = j-J-CONVEX-ANAL, volume = "16", number = "3--4", pages = "707--711", year = "2009", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49K40 (46G05 46N10 49J50 52A41 58E30 90C46)", MRnumber = "2583890", MRreviewer = "Philip D. Loewen", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/383/; http://www.heldermann.de/JCA/JCA16/JCA163/jca16042.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", xxpages = "699--706", } @Article{Borwein:2009:EBS, author = "Jonathan M. Borwein and Neil J. Calkin and Dante Manna", title = "{Euler--Boole} summation revisited", journal = j-AMER-MATH-MONTHLY, volume = "116", number = "5", pages = "387--412", year = "2009", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/193009709X470290", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11B68 (11B73 26A06)", MRnumber = "2510837", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:2009:MME, author = "Jonathan M. Borwein", title = "Maths Matters: Exploratory experimentation: digitally-assisted discovery and proof", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "36", number = "3", pages = "166--175", month = jul, year = "2009", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", MRclass = "00A35", MRnumber = "2543725", MRnumber = "00A35 68W30 97U50 00A30", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", ZMnumber = "1175.00028", acknowledgement = ack-nhfb, fjournal = "The Australian Mathematical Society. Gazette", journal-URL = "http://www.austms.org.au/gazette", remark-1 = "This material is largely excerpted from a longer paper written for ICMI Study 19 `On Proof and Proving in Mathematics Education', and a plenary talk given in May 2009 at the corresponding Workshop at National Taiwan Normal University. [NHFB remarks: It appears that the longer paper did not appear in ICMI [International Commission on Mathematical Instruction] Study 19, which is published in \booktitle{ZDM Mathematics Education} {\bf 40}(2) May 2008, \url{http://link.springer.com/journal/11858/40/2/page/1}, and in the Chinese\slash English proceedings with ISBN 986-01-8210-8.]", remark-2 = "From page 166: ``The computer offers to provide scaffolding both to enhance mathematical reasoning and to restrain mathematical error.''", remark-3 = "From page 174: ``We live in an information-rich, judgement-poor world and the explosion of information and tools is not going to diminish.''", } @InCollection{Borwein:2009:NCM, author = "Jonathan Borwein and Rafal Goebel", booktitle = "Optimization", title = "On the nondifferentiability of cone-monotone functions in {Banach} spaces", volume = "32", publisher = pub-SV, address = pub-SV:adr, pages = "3--14", year = "2009", DOI = "https://doi.org/10.1007/978-0-387-98096-6_1", MRclass = "49J50 (47G10 47N10)", MRnumber = "2599222", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Springer Optim. Appl.", acknowledgement = ack-nhfb, remark = "CECM Preprint 02:179.", } @Article{Borwein:2009:PCM, author = "Jonathan M. Borwein", title = "{{\booktitle{The Princeton companion to mathematics}}. Timothy Gowers, with June Barrow Green and Imre Leader. Princeton University Press, Princeton, NJ, 2008. \$99.00. xxii + 1034 pp., hardcover. ISBN 978-0-691-1 1880-2. [book review of \refcno 2467561]}", journal = j-SIAM-REVIEW, volume = "51", number = "4", pages = "790--794", month = dec, year = "2009", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/SIREAD000051000004000785000001", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "00A17", MRnumber = "2573944", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://docserver.carma.newcastle.edu.au/1228/; http://www.jstor.org/stable/25662346", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Borwein:2009:SCC, author = "Jonathan M. Borwein and Warren B. Moors", title = "Stability of closedness of convex cones under linear mappings", journal = j-J-CONVEX-ANAL, volume = "16", number = "3--4", pages = "699--705", year = "2009", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "47N10 (90C25 90C31)", MRnumber = "2583889", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1229/; http://www.heldermann.de/JCA/JCA16/JCA163/jca16041.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", xxpages = "707--713", } @Article{Borwein:2009:SFC, author = "Jonathan M. Borwein and Chris H. Hamilton", title = "Symbolic {Fenchel} conjugation", journal = j-MATH-PROG, volume = "116", number = "1--2", pages = "17--35", year = "2009", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-007-0134-4", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "90-04 (44A15 49J52 65K10 90C25 90C46)", MRnumber = "2421271", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue in honor of Alfred Auslender.", URL = "http://docserver.carma.newcastle.edu.au/1479/", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Programming Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Borwein:2009:UBC, author = "Jonathan M. Borwein and O-Yeat Chan", title = "Uniform bounds for the complementary incomplete gamma function", journal = j-MATH-INEQUAL-APPL, volume = "12", number = "1", pages = "115--121", year = "2009", DOI = "https://doi.org/10.7153/mia-12-10", ISSN = "1331-4343 (print), 1848-9966 (electronic)", ISSN-L = "1331-4343", MRclass = "33B20", MRnumber = "2489355", MRreviewer = "Necdet Batir", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/335/", acknowledgement = ack-nhfb, ajournal = "Math. Inequal. Appl.", fjournal = "Mathematical Inequalities \& Applications", journal-URL = "http://mia.ele-math.com/", } @Article{Borwein:2009:UCF, author = "J. Borwein and A. J. Guirao and P. H{\'a}jek and J. Vanderwerff", title = "Uniformly convex functions on {Banach} spaces", journal = j-PROC-AM-MATH-SOC, volume = "137", number = "3", pages = "1081--1091", year = "2009", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-08-09630-5", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "46B20 (46G05 46N10 49J50 52A41 90C48)", MRnumber = "2457450", MRreviewer = "Doug Ward", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/340/", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Jackson:2009:JER, author = "Allyn Jackson", title = "{John Ewing} retires from the {AMS}", journal = j-NAMS, volume = "56", number = "1", pages = "48--51", month = jan, year = "2009", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Tue Aug 16 09:18:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "With contributions by Jonathan Borwein and Jane Kister.", URL = "", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Unpublished{Bacak:2010:DCF, author = "M. Bac{\'a}k and J. Borwein and B. Sims", title = "Differentiability of convex functions in {CAT(0)} spaces.", month = aug, year = "2010", bibdate = "Tue Aug 16 10:01:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Bacak:2010:ICL, author = "Miroslav Ba{\v{c}}{\'a}k and Jonathan M. Borwein and Andrew Eberhard and Boris S. Mordukhovich", title = "Infimal convolutions and {Lipschitzian} properties of subdifferentials for prox-regular functions in {Hilbert} spaces", journal = j-J-CONVEX-ANAL, volume = "17", number = "3--4", pages = "737--763", year = "2010", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49J52 (46G05)", MRnumber = "2731276", MRreviewer = "Shawn Xianfu Wang", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special volume in honour of Hedi Attouch.", URL = "http://docserver.carma.newcastle.edu.au/1224/; http://www.heldermann.de/JCA/JCA17/JCA173/jca17049.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Bailey:2010:ATB, author = "D. H. Bailey and J. M. Borwein and R. E. Crandall", title = "Advances in the theory of box integrals", journal = j-MATH-COMPUT, volume = "79", number = "271", pages = "1839--1866", month = jul, year = "2010", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-10-02338-0", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (65D30)", MRnumber = "2630017", MRreviewer = "Michael J. Evans", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/389/; http://www.jstor.org/stable/20779125", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", remark = "D-drive preprint 389 (March 2009).", } @InCollection{Bailey:2010:ECO, author = "David H. Bailey and Jonathan M. Borwein", booktitle = "Gems in experimental mathematics", title = "Experimental computation with oscillatory integrals", volume = "517", publisher = pub-AMS, address = pub-AMS:adr, pages = "25--40", year = "2010", DOI = "https://doi.org/10.1090/conm/517/10131", MRclass = "11Y35 (42B20)", MRnumber = "2731059", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemp. Math.", URL = "http://docserver.carma.newcastle.edu.au/391/", acknowledgement = ack-nhfb, } @Article{Bailey:2010:EMMa, author = "David H. Bailey and Jonathan M. Borwein and David J. Broadhurst and Wadim Zudilin", title = "Experimental Mathematics and Mathematical Physics", journal = "ArXiv e-prints", month = may, year = "2010", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2010arXiv1005.0414B; http://docserver.carma.newcastle.edu.au/1215/", abstract = "One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the identification of some key multi-dimensional integrals that arise in Ising theory, quantum field theory and in magnetic spin theory.", acknowledgement = ack-nhfb, eprint = "1005.0414", keywords = "Mathematical Physics, High Energy Physics - Phenomenology, Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory", primaryclass = "math-ph", } @InCollection{Bailey:2010:EMMb, author = "David H. Bailey and Jonathan M. Borwein and David Broadhurst and Wadim Zudilin", booktitle = "Gems in experimental mathematics", title = "Experimental mathematics and mathematical physics", volume = "517", publisher = pub-AMS, address = pub-AMS:adr, pages = "41--58", year = "2010", DOI = "https://doi.org/10.1090/conm/517/10132", MRclass = "33F05 (11Y60 33F10 65D30)", MRnumber = "2731060", MRreviewer = "Zhonghua Li", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemp. Math.", URL = "http://docserver.carma.newcastle.edu.au/1215/", acknowledgement = ack-nhfb, } @TechReport{Bailey:2010:SMP, author = "David H. Bailey and Jonathan M. Borwein", title = "Solution to {{\booktitle{Monthly}}} Problem 11515", type = "Report", institution = "Lawrence Berkeley National Laboratory and School of Mathematical and Physical Sciences, University of Newcastle", address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308, Australia", pages = "2", day = "15", month = jun, year = "2010", bibdate = "Fri Sep 30 08:23:00 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/amm-11515.pdf", acknowledgement = ack-nhfb, remark = "The problem of evaluating $ S(t) = \sum_{n = 1}^\infty 4^n \sin^4 (t / 2^n) $ is shown to be equal to the simple closed form $ T(t) = t^2 - \sin^2 (t) $.", } @Book{Borwein:2010:CFC, author = "Jonathan M. Borwein and Jon D. Vanderwerff", title = "Convex functions: constructions, characterizations and counterexamples", volume = "109", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 521", year = "2010", DOI = "https://doi.org/10.1017/CBO9781139087322", ISBN = "0-521-85005-3", ISBN-13 = "978-0-521-85005-6", MRclass = "49-02 (46B20 46N10 49J53 52A41 90C25)", MRnumber = "2596822", MRreviewer = "Heinz H. Bauschke", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Encyclopedia of Mathematics and its Applications", URL = "http://ebooks.cambridge.org/ebook.jsf?bid=CBO9781139087322", acknowledgement = ack-nhfb, tableofcontents = "Frontmatter / i--vi \\ Contents / vii--viii \\ Preface / ix--x \\ 1: Why convex? / 1--17 \\ 2: Convex functions on Euclidean spaces / 18--93 \\ 3: Finer structure of Euclidean spaces / 94--125 \\ 4: Convex functions on Banach spaces / 126--208 \\ 5: Duality between smoothness and strict convexity / 209--275 \\ 6: Further analytic topics / 276--337 \\ 7: Barriers and Legendre functions / 338--376 \\ 8: Convex functions and classifications of Banach spaces / 377--402 \\ 9: Monotone operators and the Fitzpatrick function / 403--459 \\ 10: Further remarks and notes / 460--482 \\ List of symbols / 483--484 \\ References / 485--507", } @Article{Borwein:2010:DTM, author = "Jonathan M. Borwein and O-Yeat Chan", title = "Duality in tails of multiple-zeta values", journal = j-INT-J-NUMBER-THEORY, volume = "6", number = "3", pages = "501--514", year = "2010", DOI = "https://doi.org/10.1142/S1793042110003058", ISSN = "1793-0421 (print), 1933-8368 (electronic)", MRclass = "11M32 (33C20 33F05)", MRnumber = "2652893", MRreviewer = "Zhonghua Li", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1218/", acknowledgement = ack-nhfb, fjournal = "International Journal of Number Theory", journal-URL = "http://www.worldscientific.com/worldscinet/ijnt", } @Book{Borwein:2010:ECM, author = "Jonathan Borwein and Peter B. Borwein", title = "Experimental and computational mathematics: selected writings", publisher = "Perfectly Scientific Press", address = "Portland, OR, USA", pages = "viii + 297", year = "2010", ISBN = "1-935638-05-X", ISBN-13 = "978-1-935638-05-6", MRclass = "11-06 (11-04 33-06)", MRnumber = "2841256", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @InCollection{Borwein:2010:ENE, author = "Jonathan M. Borwein and Scott Sciffer", booktitle = "Nonlinear analysis and optimization {II}. {Optimization}", title = "An explicit non-expansive function whose subdifferential is the entire dual ball", volume = "514", publisher = pub-AMS, address = pub-AMS:adr, pages = "99--103", year = "2010", DOI = "https://doi.org/10.1090/conm/514/10101", MRclass = "49J52", MRnumber = "2668255", MRreviewer = "Shawn Xianfu Wang", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemp. Math.", URL = "http://docserver.carma.newcastle.edu.au/385/", acknowledgement = ack-nhfb, } @InCollection{Borwein:2010:FCV, author = "Jonathan M. Borwein", booktitle = "Variational analysis and generalized differentiation in optimization and control", title = "Future challenges for variational analysis", volume = "47", publisher = pub-SV, address = pub-SV:adr, pages = "95--107", year = "2010", DOI = "https://doi.org/10.1007/978-1-4419-0437-9_4", MRclass = "49J53", MRnumber = "2766756", MRreviewer = "B. Mordukhovich", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Springer Optim. Appl.", URL = "http://docserver.carma.newcastle.edu.au/396/", acknowledgement = ack-nhfb, } @Article{Borwein:2010:FLF, author = "Jonathan M. Borwein and Jon Vanderwerff", title = "{Fr{\'e}chet--Legendre} functions and reflexive {Banach} spaces", journal = j-J-CONVEX-ANAL, volume = "17", number = "3--4", pages = "915--924", year = "2010", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "52A41 (46G05 46N10 49J53 90C25)", MRnumber = "2731284", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special volume in honour of Hedi Attouch.", URL = "http://www.heldermann.de/JCA/JCA17/JCA173/jca17057.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:2010:FYM, author = "Jonathan M. Borwein", title = "Fifty years of maximal monotonicity", journal = j-OPTIM-LETT, volume = "4", number = "4", pages = "473--490", year = "2010", DOI = "https://doi.org/10.1007/s11590-010-0178-x", ISSN = "1862-4472 (print), 1862-4480 (electronic)", ISSN-L = "1862-4472", MRclass = "47H05 (47H09 49-02 49J53 90C25 90C33)", MRnumber = "2719898", MRreviewer = "Simeon Reich", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1221/", acknowledgement = ack-nhfb, ajournal = "Optim. Lett.", fjournal = "Optimization Letters", journal-URL = "http://link.springer.com/journal/11590", } @Article{Borwein:2010:HDB, author = "Jonathan M. Borwein and O-Yeat Chan and R. E. Crandall", title = "Higher-Dimensional Box Integrals", journal = j-EXP-MATH, volume = "19", number = "4", pages = "431--446", year = "2010", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2010.10390634", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "33B30", MRnumber = "2778656", MRreviewer = "Cristinel Mortici", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/19/4", URL = "http://docserver.carma.newcastle.edu.au/1223/; http://projecteuclid.org/euclid.em/1317758103", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @InProceedings{Borwein:2010:MEPa, author = "J. M. Borwein", booktitle = "ICME10 Proceedings, July 2010", title = "Mathematics by Experiment: Plausible Reasoning in the 21st Century", publisher = "????", address = "????", pages = "??--??", year = "2010", bibdate = "Sat Aug 13 16:42:06 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/272/", acknowledgement = ack-nhfb, remark = "CoLab Preprint 272.", } @Article{Borwein:2010:NSF, author = "David Borwein and Jonathan M. Borwein and Isaac E. Leonard", title = "{$ L_p $} norms and the sinc function", journal = j-AMER-MATH-MONTHLY, volume = "117", number = "6", pages = "528--539", year = "2010", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/000298910X492817", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "26A09", MRnumber = "2662705", MRreviewer = "Timo A. J. Tossavainen", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Borwein:2010:RWP, author = "Jonathan M. Borwein and Dirk Nuyens and Armin Straub and James Wan", booktitle = "{22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)}", title = "Random walks in the plane", publisher = "Assoc. Discrete Math. Theor. Comput. Sci.", address = "Nancy, France", pages = "191--202", year = "2010", MRclass = "05C81 (05A15)", MRnumber = "2673835", MRreviewer = "Manuel Batista Branco", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Discrete Math. Theor. Comput. Sci. Proc., AN", acknowledgement = ack-nhfb, book-URL = "http://math.sfsu.edu/fpsac/", } @Article{Borwein:2010:SCC, author = "Jonathan M. Borwein and Warren B. Moors", title = "Stability of closedness of convex cones under linear mappings {II}", journal = "Journal of Nonlinear Analysis and Optimization: Theory \& Applications", volume = "1", number = "1", pages = "1--7", year = "2010", ISSN = "1906-9685", ISSN-L = "1906-9685", MRclass = "49J53 (47N10 90C05 90C31)", MRnumber = "2911681", MRreviewer = "John R. Giles", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1226/; http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/5", acknowledgement = ack-nhfb, ajournal = "J. Nonlinear Anal. Optim.", fjournal = "Journal of Nonlinear Analysis and Optimization. Theory and Applications", journal-URL = "http://www.sci.nu.ac.th/jnao", } @Unpublished{Borwein:2010:TTT, author = "Jonathan M. Borwein", title = "Talking to {Telstra}: Two weeks spent with {Australia}'s largest {Telco}", day = "27", month = sep, year = "2010", bibdate = "Tue Aug 16 10:00:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Response to Australian Communications and Media Authority (ACMA) enquiry, Reconnecting the Customer, Sept 27, 2010.", acknowledgement = ack-nhfb, remark = "The background for this document is provided by Jon's daughter, Naomi, in a talk at his funeral, and recorded at \url{http://jonborwein.org/2016/08/my-father-by-naomi-borwein/}: ``In 2010 Jon changed his Internet and telephone provider to Telstra, the leading national telecommunications provider in Australia. Telstra started by providing service to J Brow-ein, and things went down hill from there. So Jon chronicled his month-long quest to fix his Internet and telephone connection in a highly amusing, but frustratingly bureaucratic, sixty page document. It ended up being obligatory reading for all the vice presidents at Telstra, and was sent as part of a package to the Australian Government's royal commission on the dysfunction of Big Telcos in the country. This was under the umbrella of the Australian Communications and Media Authority, which is an Australian Government statutory authority. Jon was personally thanked in the final report that was lodged in parliament.''", } @Article{Bacak:2011:DCL, author = "Miroslav Ba{\v{c}}{\'a}k and Jonathan M. Borwein", title = "On difference convexity of locally {Lipschitz} functions", journal = j-OPTIMIZATION, volume = "60", number = "8--9", pages = "961--978", year = "2011", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331931003770411", ISSN = "0233-1934, 0323-3898", ISSN-L = "0233-1934", MRclass = "49J53 (49-02)", MRnumber = "2860286", MRreviewer = "Shawn Xianfu Wang", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1446/", acknowledgement = ack-nhfb, fjournal = "Optimization. A Journal of Mathematical Programming and Operations Research", } @TechReport{Bailey:2011:CPI, author = "David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick", title = "The Computation of Previously Inaccessible Digits of $ \pi^2 $ and {Catalan}'s Constant", type = "Report", institution = "Lawrence Berkeley National Laboratory; Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle; IBM Australia", address = "Berkeley, CA, USA; Callaghan, NSW 2308, Australia; St. Leonards, NSW 2065, Australia; Pyrmont, NSW 2009, Australia", pages = "18", day = "11", month = apr, year = "2011", bibdate = "Sat Apr 23 08:58:45 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://crd.lbl.gov/~dhbailey/dhbpapers/bbp-bluegene.pdf", acknowledgement = ack-nhfb, remark = "Submitted to Notices of the AMS.", } @TechReport{Bailey:2011:EAN, author = "David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee", title = "An Empirical Approach to the Normality of $ \pi $", type = "Report", number = "CDMTCS-413", institution = "Centre for Discrete Mathematics and Theoretical Computer Science, University of Auckland", address = "Auckland, New Zealand", pages = "i + 31", month = nov, year = "2011", bibdate = "Tue Aug 23 06:50:08 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1382/; http://www.cs.auckland.ac.nz/research/groups/CDMTCS/researchreports/?download&paper_file=413", acknowledgement = ack-nhfb, } @Article{Bailey:2011:EEC, author = "David H. Bailey and Jonathan M. Borwein", title = "Exploratory experimentation and computation", journal = j-NAMS, volume = "58", number = "10", pages = "1410--1419", month = oct, year = "2011", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "00A35", MRnumber = "2884022", MRreviewer = "Eduard Glas", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Chinese translation in Mathematical Advances in Translation (Chinese Academy of Science), June 2012.", URL = "http://docserver.carma.newcastle.edu.au/1396/", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @TechReport{Bailey:2011:GMD, author = "David H. Bailey and Jonathan M. Borwein", title = "The Greatest Mathematical Discovery?", type = "Report", institution = "Lawrence Berkeley National Laboratory and Centre for Computer Assisted RMA, University of Newcastle", address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308, Australia", pages = "10", day = "8", month = may, year = "2011", bibdate = "Fri Aug 12 18:29:28 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.davidhbailey.com/dhbpapers/decimal.pdf", acknowledgement = ack-nhfb, keywords = "decimal arithmetic history", } @Article{Bailey:2011:HPN, author = "D. H. Bailey and J. M. Borwein", title = "High-precision numerical integration: Progress and challenges", journal = j-J-SYMBOLIC-COMP, volume = "46", number = "7", pages = "741--754", month = jul, year = "2011", CODEN = "JSYCEH", DOI = "https://doi.org/10.1016/j.jsc.2010.08.010", ISSN = "0747-7171 (print), 1095-855x (electronic)", ISSN-L = "0747-7171", MRclass = "65D30 (65Y05 68W30)", MRnumber = "2795208", MRreviewer = "G. A. Evans", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib", note = "Special Issue in Honour of Keith Geddes on his 60th Birthday.", URL = "http://docserver.carma.newcastle.edu.au/1444/; http://www.sciencedirect.com/science/article/pii/S0747717110001409", abstract = "One of the most fruitful advances in the field of experimental mathematics has been the development of practical methods for very high-precision numerical integration, a quest initiated by Keith Geddes and other researchers in the 1980s and 1990s. These techniques, when coupled with equally powerful integer relation detection methods, have resulted in the analytic evaluation of many integrals that previously were beyond the realm of symbolic techniques. This paper presents a survey of the current state-of-the-art in this area (including results by the present authors and others), mentions some new results, and then sketches what challenges lie ahead.", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171/", keywords = "High-precision arithmetic; Ising theory; Numerical integration; Quadrature; Quantum field theory", } @Article{Bauschke:2011:BBT, author = "H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao", title = "The {Br{\'e}zis--Browder} Theorem in a general {Banach} space", journal = "ArXiv e-prints", month = oct, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1110.5706B", abstract = "During the 1970s Br{\'e}zis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces. In this paper, we extend and refine their result to a general Banach space.", acknowledgement = ack-nhfb, eprint = "1110.5706", keywords = "Mathematics - Functional Analysis, 47A06 (Primary), 47H05, 47B65 (Secondary), 47N10, 90C25", primaryclass = "math.FA", } @Article{Bauschke:2011:CPM, author = "H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao", title = "Construction of pathological maximally monotone operators on non-reflexive {Banach} spaces", journal = "ArXiv e-prints", month = aug, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1108.1463B; http://docserver.carma.newcastle.edu.au/1090/", abstract = "In this paper, we construct maximally monotone operators that are not of Gossez's dense-type (D) in many nonreflexive spaces. Many of these operators also fail to possess the Br{\o}nsted--Rockafellar (BR) property. Using these operators, we show that the partial inf-convolution of two BC--functions will not always be a BC--function. This provides a negative answer to a challenging question posed by Stephen Simons. Among other consequences, we deduce that every Banach space which contains an isomorphic copy of the James space $ \mathbf {J} $ or its dual $ \mathbf {J}^* $, or $ c_0 $ or its dual $ \ell^1 $, admits a non type (D) operator.", acknowledgement = ack-nhfb, eprint = "1108.1463", keywords = "Mathematics - Functional Analysis, Primary 47A06, 47H05, Secondary 47B65, 47N1, 90C25", primaryclass = "math.FA", } @Article{Bauschke:2011:EMM, author = "H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao", title = "Every maximally monotone operator of {Fitzpatrick--Phelps} type is actually of dense type", journal = "ArXiv e-prints", month = apr, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1104.0750B; http://docserver.carma.newcastle.edu.au/1442/", abstract = "We show that every maximally monotone operator of Fitzpatrick--Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions of monotonicity coincide.", acknowledgement = ack-nhfb, eprint = "1104.0750", keywords = "Mathematics - Functional Analysis, Primary 47H05, Secondary 46B10, 47N10, 90C25", primaryclass = "math.FA", } @Article{Bauschke:2011:MML, author = "Heinz H. Bauschke and Jonathan M. and Xianfu Wang and Liangjin Yao", title = "For maximally monotone linear relations, dense type, negative-infimum type, and {Fitzpatrick--Phelps} type all coincide with monotonicity of the adjoint", journal = "ArXiv e-prints", pages = "15", day = "21", month = mar, year = "2011", bibdate = "Tue Aug 16 09:57:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.6239B; http://arxiv.org/abs/1103.6239", abstract = "It is shown that, for maximally monotone linear relations defined on a general Banach space, the monotonicities of dense type, of negative-infimum type, and of Fitzpatrick--Phelps type are the same and equivalent to monotonicity of the adjoint. This result also provides affirmative answers to two problems: one posed by Phelps and Simons, and the other by Simons.", acknowledgement = ack-nhfb, eprint = "1103.6239", keywords = "Mathematics - Functional Analysis, Primary 47A06, 47H05, Secondary 47B65, 47N10, 90C25", primaryclass = "math.FA", } @Article{Bauschke:2011:MOB, author = "H. H. Bauschke and J. M. Borwein and X. Wang and L. Yao", title = "Monotone operators and ``bigger conjugate'' functions", journal = "ArXiv e-prints", month = aug, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1108.2578B; http://docserver.carma.newcastle.edu.au/1477/", abstract = "We study a question posed by Stephen Simons in his 2008 monograph involving ``bigger conjugate'' (BC) functions and the partial infimal convolution. As Simons demonstrated in his monograph, these function have been crucial to the understanding and advancement of the state-of-the-art of harder problems in monotone operator theory, especially the sum problem. In this paper, we provide some tools for further analysis of BC--functions which allow us to answer Simons' problem in the negative. We are also able to refute a similar but much harder conjecture which would have generalized a classical result of Br{\'e}zis, Crandall and Pazy. Our work also reinforces the importance of understanding unbounded skew linear relations to construct monotone operators with unexpected properties.", acknowledgement = ack-nhfb, eprint = "1108.2578", keywords = "Mathematics - Functional Analysis, Primary 47A06, 47H05, Secondary 47B65, 47N10, 90C25", primaryclass = "math.FA", } @Article{Borwein:2011:CBF, author = "Jonathan M. Borwein and Simeon Reich and Shoham Sabach", title = "A characterization of {Bregman} firmly nonexpansive operators using a new monotonicity concept", journal = j-J-NONLINEAR-CONVEX-ANAL, volume = "12", number = "1", pages = "161--184", year = "2011", ISSN = "1345-4773 (print), 1880-5221 (electronic)", ISSN-L = "1345-4773", MRclass = "47H05 (26B25 47H09 94A17)", MRnumber = "2816416", MRreviewer = "Patrick L. Combettes", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1445/", acknowledgement = ack-nhfb, fjournal = "Journal of Nonlinear and Convex Analysis. An International Journal", journal-URL = "http://www.ybook.co.jp/jnca.html", } @InCollection{Borwein:2011:DRA, author = "Jonathan M. Borwein and Brailey Sims", title = "The {Douglas--Rachford} Algorithm in the Absence of Convexity", crossref = "Bauschke:2011:FPA", pages = "93--109", year = "2011", DOI = "https://doi.org/10.1007/978-1-4419-9569-8_6", MRclass = "47N10 (47H10 47J25 65J15 90C26)", MRnumber = "2858834", MRreviewer = "A. G. Kartsatos", bibdate = "Sat Aug 13 16:00:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Springer Optim. Appl.", URL = "http://link.springer.com/chapter/10.1007/978-1-4419-9569-8_6", acknowledgement = ack-nhfb, } @Article{Borwein:2011:DSU, author = "Jonathan M. Borwein and A. Straub and J. Wan and Wadim Zudilin", title = "Densities of short uniform random walks", journal = "ArXiv e-prints", month = mar, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.2995B; http://docserver.carma.newcastle.edu.au/1388/", abstract = "We study the densities of uniform random walks in the plane. A special focus is on the case of short walks with three or four steps and less completely those with five steps. As one of the main results, we obtain a hypergeometric representation of the density for four steps, which complements the classical elliptic representation in the case of three steps. It appears unrealistic to expect similar results for more than five steps. New results are also presented concerning the moments of uniform random walks and, in particular, their derivatives. Relations with Mahler measures are discussed.", acknowledgement = ack-nhfb, eprint = "1103.2995", keywords = "Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory, 60G50 (Primary) 33C20, 34M25, 44A10 (Secondary)", primaryclass = "math.CA", } @Book{Borwein:2011:EMB, author = "Jonathan Borwein and Keith Devlin", title = "{Experimentelle Mathematik: Eine beispielorientierte Einf{\"u}hrung}. ({German}) [{Experimental} mathematics: an example-oriented introduction]", publisher = "Spektrum Akademischer Verlag", address = "Heidelberg, Germany", pages = "xii + 158", year = "2011", DOI = "https://doi.org/10.1007/978-3-8274-2662-8", ISBN = "3-8274-2661-8, 3-8274-2662-6 (e-book)", ISBN-13 = "978-3-8274-2661-1, 978-3-8274-2662-8 (e-book)", LCCN = "QA8.7 .B67 2011", MRclass = "00A35 (01A75 11-04 11Y16 11Y60)", MRnumber = "3052999", bibdate = "Thu Aug 11 17:05:04 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "German translation by Roland Girgensohn of \cite{Borwein:2009:CCI}, with updates.", URL = "http://link.springer.com/book/10.1007/978-3-8274-2662-8", acknowledgement = ack-nhfb, language = "German", remark = "Life Science and Basic Disciplines (German Language) (Springer-11777).", subject = "Mathematics, general; Computermathematik", tableofcontents = "Front Matter / i--xii \\ Was ist Experimentelle Mathematik? / 1-16 \\ Was ist die billiardste Dezimalstelle von $\pi$? / 17---28 \\ Was ist diese Zahl? / 29--38 \\ Die wichtigste Funktion in der Mathematik / 39--48 \\ Werten Sie das folgende Integral aus! / 49--60 \\ Gl{\"u}ckstreffer / 61--69 \\ Berechnungen von $\pi$ / 71--79 \\ Der Computer kennt mehr Mathematik als Sie / 81--91 \\ Treib es bis zum Limit! / 93--104 \\ Vorsicht! Gefahr beim Gebrauch des Computers! / 105--113 \\ Was wir Ihnen bisher nicht verraten haben / 115--130 \\ Back Matter / 131--158", } @InCollection{Borwein:2011:ERF, author = "Jonathan M. Borwein and D. Russell Luke", title = "Entropic Regularization of the $ \ell_0 $ Function", crossref = "Bauschke:2011:FPA", pages = "65--92", year = "2011", DOI = "https://doi.org/10.1007/978-1-4419-9569-8_5", MRclass = "49M20 (49N15 65K10 90C30)", MRnumber = "2858833", MRreviewer = "Aris Daniilidis", bibdate = "Sat Aug 13 16:00:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Springer Optim. Appl.", URL = "http://docserver.carma.newcastle.edu.au/1451/; http://link.springer.com/chapter/10.1007/978-1-4419-9569-8_5", acknowledgement = ack-nhfb, } @Article{Borwein:2011:IFS, author = "Jonathan Michael Borwein", title = "{{\it Implicit functions and solution mappings}} [book review of \refcno 2515104]", journal = j-IEEE-CONTROL-SYST-MAG, volume = "31", number = "1", pages = "74--77", year = "2011", CODEN = "ISMAD7", DOI = "https://doi.org/10.1109/MCS.2010.939261", ISSN = "1066-033X (print), 1941-000X (electronic)", ISSN-L = "1066-033X", MRclass = "00A17", MRnumber = "2789813", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Control Systems Magazine", } @Book{Borwein:2011:IMM, author = "Jonathan M. Borwein and Matthew P. Skerritt", title = "An introduction to modern mathematical computing: with {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "xvi + 216", year = "2011", DOI = "https://doi.org/10.1007/978-1-4614-0122-3", ISBN = "1-4614-0121-6", ISBN-13 = "978-1-4614-0121-6", LCCN = "QA76.6 .B665 2011", MRclass = "65-01 (15-01 26-01 68-01)", MRnumber = "2808248", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", series = "Springer Undergraduate Texts in Mathematics and Technology", URL = "http://docserver.carma.newcastle.edu.au/1727/", acknowledgement = ack-nhfb, tableofcontents = "Front Matter / i--xvi \\ Number Theory / 1--65 \\ Calculus / 67--128 \\ Linear Algebra / 129--185 \\ Visualization and Geometry: A Postscript / 187--201 \\ Back Matter / 211--216", } @Article{Borwein:2011:LEW, author = "J. M. Borwein", title = "Letter to the {Editor}: Why are mathematics papers so dull?", journal = j-SIAM-NEWS, volume = "44", number = "6", pages = "7--7", month = jul # "\slash " # aug, year = "2011", ISSN = "0036-1437", ISSN-L = "0036-1437", bibdate = "Sat Aug 13 15:55:33 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.siam.org/news/news.php?id=1903", acknowledgement = ack-nhfb, fjournal = "SIAM News", journal-URL = "http://www.siam.org/news/", } @Article{Borwein:2011:LHM, author = "Jonathan M. Borwein and Judy-Anne Osborn", title = "{{\booktitle{Loving and hating mathematics}}, by Reuben Hersh and Vera John-Steiner. Princeton and Oxford: Princeton University Press, 2010, 428 pp., US\$29.95. ISBN-10: 0-691-14247-5, ISBN-13: 978-0-691-14247-0 [book review of \refcno 2731560]}", journal = j-MATH-INTEL, volume = "33", number = "4", pages = "63--69", month = dec, year = "2011", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/s00283-011-9260-1", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "00A17", MRnumber = "2906477", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/article/10.1007/s00283-011-9260-1", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", } @Article{Borwein:2011:LSEa, author = "J. M. Borwein and A. Straub", title = "Log-sine evaluations of {Mahler} measures", journal = "ArXiv e-prints", month = mar, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.3893B", abstract = "We provide evaluations of several recently studied higher and multiple Mahler measures using log-sine integrals. This is complemented with an analysis of generating functions and identities for log-sine integrals which allows the evaluations to be expressed in terms of zeta values or more general polylogarithmic terms. The machinery developed is then applied to evaluation of further families of multiple Mahler measures.", acknowledgement = ack-nhfb, eprint = "1103.3893", keywords = "Mathematics - Classical Analysis and ODEs, Mathematical Physics", primaryclass = "math.CA", } @Article{Borwein:2011:LSEb, author = "D. Borwein and J. M. Borwein and A. Straub and J. Wan", title = "Log-sine evaluations of {Mahler} measures, {II}", journal = "ArXiv e-prints", month = mar, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.3035B; http://docserver.carma.newcastle.edu.au/1435/", abstract = "We continue the analysis of higher and multiple Mahler measures using log-sine integrals as started in ``Log-sine evaluations of Mahler measures'' and ``Special values of generalized log-sine integrals'' by two of the authors. This motivates a detailed study of various multiple polylogarithms and worked examples are given. Our techniques enable the reduction of several multiple Mahler measures, and supply an easy proof of two conjectures by Boyd.", acknowledgement = ack-nhfb, eprint = "1103.3035", keywords = "Mathematics - Classical Analysis and ODEs, Mathematical Physics", primaryclass = "math.CA", } @TechReport{Borwein:2011:MHM, author = "Jonathan M. Borwein and Wadim Zudilin", title = "Math Honours: Multiple Zeta Values", type = "Classroom notes", institution = "Centre for Computer Assisted RMA, University of Newcastle", address = "Callaghan, NSW 2308, Australia", pages = "65", day = "19", month = oct, year = "2011", bibdate = "Fri Nov 04 16:04:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://carma.newcastle.edu.au/MZVs/mzv.pdf", acknowledgement = ack-nhfb, tableofcontents = "1. Introduction to multiple zeta values (MZVs) \\ 2. Method of partial fractions \\ 3. Algebra of MZVs \\ 4. Generalized polylogarithms and generating functions of MZVs \\ 5. Duality theorem. Sum theorem and Ohno's relations \\ 6. Quasi-shuffle products. Derivations \\ 7. $q$-Analogues of MZVs \\ 8. Other extensions and open questions", } @InProceedings{Borwein:2011:MMS, author = "Jonathan Borwein", booktitle = "Proceedings of the 2011 International Workshop on Symbolic--Numeric Computation", title = "{Mahler} Measures, Short Walks and Log-sine Integrals: A Case Study in Hybrid Computation", publisher = pub-ACM, address = pub-ACM:adr, pages = "1--1", year = "2011", DOI = "https://doi.org/10.1145/2331684.2331685", ISBN = "1-4503-0515-6", ISBN-13 = "978-1-4503-0515-0", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "SNC '11", URL = "http://doi.acm.org/10.1145/2331684.2331685", acknowledgement = ack-nhfb, acmid = "2331685", keywords = "Mahler measures, log-sine integral, short walks", location = "San Jose, California", numpages = "1", } @Article{Borwein:2011:MOE, author = "J. M. Borwein and R. Burachik and L. Yao", title = "Monotone Operators without Enlargements", journal = "ArXiv e-prints", day = "11", month = oct, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1110.3102B; http://arxiv.org/abs/1110.3102; http://docserver.carma.newcastle.edu.au/1447/", abstract = "Enlargements have proven to be useful tools for studying maximally monotone mappings. It is therefore natural to ask in which cases the enlargement does not change the original mapping. Svaiter has recently characterized non-enlargeable operators in reflexive Banach spaces and has also given some partial results in the nonreflexive case. In the present paper, we provide another characterization of non-enlargeable operators in nonreflexive Banach spaces under a closedness assumption on the graph. Furthermore, and still for general Banach spaces, we present a new proof of the maximality of the sum of two maximally monotone linear relations. We also present a new proof of the maximality of the sum of a maximally monotone linear relation and a normal cone operator when the domain of the linear relation intersects the interior of the domain of the normal cone.", acknowledgement = ack-nhfb, eprint = "1110.3102", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 47A06, 47H05, Secondary 47B65, 47N10, 90C25", pagecount = "26", primaryclass = "math.FA", } @Unpublished{Borwein:2011:MOT, author = "Jonathan M. Borwein and Andrew Eberhard and Liangjin Yao", title = "Monotone operators of type {FPV}", month = aug, year = "2011", bibdate = "Tue Aug 16 09:59:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Borwein:2011:MRGa, author = "David Borwein and Jonathan M. Borwein and M. Larry Glasser and James G. Wan", title = "Moments of {Ramanujan}'s generalized elliptic integrals and extensions of {Catalan}'s constant", journal = j-J-MATH-ANAL-APPL, volume = "384", number = "2", pages = "478--496", year = "2011", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2011.06.001", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "33E05 (33C05)", MRnumber = "2825201", MRreviewer = "Diego E. Dominici", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1443/; http://www.sciencedirect.com/science/article/pii/S0022247X1100549X", abstract = "We undertake a thorough investigation of the moments of Ramanujan's alternative elliptic integrals and of related hypergeometric functions. Along the way we are able to give some surprising closed forms for Catalan-related constants and various new hypergeometric identities.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "Catalan's constant; Elliptic integrals; Hypergeometric functions; Moments", } @TechReport{Borwein:2011:PSE, author = "D. Borwein and Jonathan M. Borwein", title = "Proof of some experimentally conjectured formulas for $ \pi $", type = "Preprint", institution = "Department of Mathematics, University of Western Ontario and Centre for Computer-assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, University of Newcastle", address = "London, ON, Canada and Callaghan, NSW 2308, Australia", day = "4", month = dec, year = "2011", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", abstract = "A recent paper by M. Jauregui and C. Tsallis \cite{Jauregui:2010:NRD}, which explores applications of the $q$-exponential function and formal representations of the Dirac function, contains a set of experimentally discovered formulae for $ \pi $ as finite series of gamma function ratios. Herein, we prove rigorously these identities as special cases of Pfaff--Saalsch{\"u}tz evaluation for $_3 F_2 ({a, b, c} \atop {d, e} | 1)$ functions. We likewise prove and extend a corresponding integral identity given in \cite{Jauregui:2010:NRD}.", acknowledgement = ack-nhfb, } @Article{Borwein:2011:SAP, author = "Jonathan M. Borwein and Dirk Nuyens and Armin Straub and James Wan", title = "Some arithmetic properties of short random walk integrals", journal = j-RAMANUJAN-J, volume = "26", number = "1", pages = "109--132", year = "2011", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-011-9325-y", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "60G50 (33C20)", MRnumber = "2837721", MRreviewer = "Florian Sobieczky", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1440/", ZMnumber = "1233.60024", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @Article{Borwein:2011:SVGa, author = "Jonathan M. Borwein and Armin Straub", title = "Special Values of Generalized Log-sine Integrals", journal = "ArXiv e-prints", month = mar, year = "2011", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2011arXiv1103.4298B; http://docserver.carma.newcastle.edu.au/1398/", abstract = "We study generalized log-sine integrals at special values. At $ \pi $ and multiples thereof explicit evaluations are obtained in terms of Nielsen polylogarithms at $ \pm 1 $. For general arguments we present algorithmic evaluations involving Nielsen polylogarithms at related arguments. In particular, we consider log-sine integrals at $ \pi / 3 $ which evaluate in terms of polylogarithms at the sixth root of unity. An implementation of our results for the computer algebra systems Mathematica and SAGE is provided.", acknowledgement = ack-nhfb, eprint = "1103.4298", keywords = "Mathematics - Classical Analysis and ODEs, Computer Science - Symbolic Computation, Mathematical Physics", primaryclass = "math.CA", } @InProceedings{Borwein:2011:SVGb, author = "Jonathan M. Borwein and Armin Straub", booktitle = "Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation", title = "Special Values of Generalized Log-sine Integrals", publisher = pub-ACM, address = pub-ACM:adr, pages = "43--50", year = "2011", DOI = "https://doi.org/10.1145/1993886.1993899", ISBN = "1-4503-0675-6", ISBN-13 = "978-1-4503-0675-1", MRclass = "11R06 (33B99 68W30)", MRnumber = "2895193", bibdate = "Wed Aug 10 12:08:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", note = "Awarded ISSAC 2011 Best SIGSAM-ACM Student Paper Prize.", series = "ISSAC '11", URL = "http://docserver.carma.newcastle.edu.au/1398/; http://doi.acm.org/10.1145/1993886.1993899", acknowledgement = ack-nhfb, acmid = "1993899", keywords = "Clausen functions, log-sine integrals, multiple polylogarithms, multiple zeta values", location = "San Jose, California, USA", numpages = "8", } @Article{Alladi:2012:PRA, author = "Krishnaswami Alladi and George E. Andrews and Jonathan M. Borwein", title = "Preface to {Ramanujan}'s 125th anniversary special issue", journal = j-RAMANUJAN-J, volume = "29", number = "1--3", pages = "1--2", month = dec, year = "2012", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-012-9448-9", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11-06 (01A70)", MRnumber = "2994085", bibdate = "Fri Aug 12 08:52:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/article/10.1007/s11139-012-9448-9", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @Article{Amdeberhan:2012:FEC, author = "Tewodros Amdeberhan and David Borwein and Jonathan M. Borwein and Armin Straub", title = "On formulas for $ \pi $ experimentally conjectured by {Jauregui--Tsallis}", journal = j-J-MATH-PHYS, volume = "53", number = "7", pages = "073708", month = jul, year = "2012", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.4735283", ISSN = "0022-2488", ISSN-L = "0022-2488", MRclass = "33C20 (11Y60 30D15 33C45)", MRnumber = "2985267", MRreviewer = "Tatiana Hessami Pilehrood", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012JMP....53g3708A; http://docserver.carma.newcastle.edu.au/1378/", abstract = "In a recent study of representing Dirac's delta distribution using q-exponentials, Jauregui and Tsallis experimentally discovered formulae for $ \pi $ as hypergeometric series as well as certain integrals. Herein, we offer rigorous proofs of these identities using various methods and our primary intent is to lay down an illustration of the many technical underpinnings of such evaluations. This includes an explicit discussion of creative telescoping and Carlson's Theorem. We also generalize the Jauregui--Tsallis identities to integrals involving Chebyshev polynomials. In our pursuit, we provide an interesting tour through various topics from classical analysis to the theory of special functions.", acknowledgement = ack-nhfb, eid = "073708", fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "Sep 2012", pagecount = "15", } @Article{AragonArtacho:2012:GCN, author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein", title = "Global convergence of a non-convex {Douglas--Rachford} iteration", journal = "ArXiv e-prints", month = mar, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1203.2392A; http://docserver.carma.newcastle.edu.au/1061/", abstract = "We establish a region of convergence for the proto-typical non-convex Douglas--Rachford iteration which finds a point on the intersection of a line and a circle. Previous work on the non-convex iteration [2] was only able to establish local convergence, and was ineffective in that no explicit region of convergence could be given.", acknowledgement = ack-nhfb, eprint = "1203.2392", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Article{Bailey:2012:AIS, author = "David H. Bailey and Jonathan M. Borwein", title = "Ancient {Indian} Square Roots: An Exercise in Forensic Paleo-Mathematics", journal = j-AMER-MATH-MONTHLY, volume = "119", number = "8", pages = "646--657", month = oct, year = "2012", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.119.08.646", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "01A32", MRnumber = "2988227", MRreviewer = "S. G. Dani", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.html; http://www.jstor.org/stable/10.4169/amermathmont.119.issue-8; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://docserver.carma.newcastle.edu.au/1385/; http://www.jstor.org/stable/10.4169", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Bailey:2012:EAN, author = "David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee", title = "An Empirical Approach to the Normality of $ \pi $", journal = j-EXP-MATH, volume = "21", number = "4", pages = "375--384", year = "2012", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2012.665333", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11K16 (03D32 11A63)", MRnumber = "3004253", MRreviewer = "John H. Loxton", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://docserver.carma.newcastle.edu.au/1382/", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Bailey:2012:EEC, author = "David H. Bailey and Jonathan M. Borwein", title = "Exploration, Experimentation and Computation", journal = "International Advances in Mathematics", volume = "31", number = "1", pages = "1--14", month = jan, year = "2012", ISSN = "1003-3092", ISSN-L = "1003-3092", bibdate = "Fri Sep 30 08:44:21 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Chinese translation of \cite{Bailey:2011:EEC}.", URL = "http://www.davidhbailey.com/dhbpapers/expexp-chinese.pdf", acknowledgement = ack-nhfb, language = "Chinese", } @Book{Bailey:2012:EEM, author = "David H. Bailey and Jonathan M. Borwein", title = "Exploratory experimentation in mathematics: selected works", publisher = "Perfectly Scientific Press", address = "Portland, OR, USA", pages = "364", year = "2012", ISBN = "1-935638-24-6", ISBN-13 = "978-1-935638-24-7", LCCN = "QA76.95 .B34 2012", bibdate = "Tue Aug 16 08:41:02 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, subject = "Mathematics; Experiments; Experiments.", } @Article{Bailey:2012:HHC, author = "David H. Bailey and Jonathan M. Borwein", title = "Hand-to-hand combat with thousand-digit integrals", journal = "Journal of Computational Science", volume = "3", number = "3", pages = "77--86", year = "2012", DOI = "https://doi.org/10.1016/j.jocs.2010.12.004", ISSN = "1877-7503 (print), 1877-7511 (electronic)", ISSN-L = "1877-7503", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Scientific Computation Methods and Applications.", URL = "http://docserver.carma.newcastle.edu.au/1393/; http://www.sciencedirect.com/science/article/pii/S1877750310000773", abstract = "In this paper we describe numerical investigations of definite integrals that arise by considering the moments of multi-step uniform random walks in the plane, together with a closely related class of integrals involving the elliptic functions K, K', E and E'. We find that in many cases such integrals can be ``experimentally'' evaluated in closed form or that intriguing linear relations exist within a class of similar integrals. Discovering these identities and relations often requires the evaluation of integrals to extreme precision, combined with large-scale runs of the ``PSLQ'' integer relation algorithm. This paper presents details of the techniques used in these calculations and mentions some of the many difficulties that can arise.", acknowledgement = ack-nhfb, keywords = "Elliptic integrals; Experimental mathematics; High-precision computing; Numerical integration; Random walks", } @Article{Bailey:2012:HPC, author = "David H. Bailey and Roberto Barrio and Jonathan M. Borwein", title = "High-precision computation: Mathematical physics and dynamics", journal = j-APPL-MATH-COMP, volume = "218", number = "20", pages = "10106--10121", day = "15", month = jun, year = "2012", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2012.03.087", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65Y04 (68M07)", MRnumber = "2921767", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://docserver.carma.newcastle.edu.au/775/; http://www.sciencedirect.com/science/article/pii/S0096300312003505", abstract = "At the present time, IEEE 64-bit floating-point arithmetic is sufficiently accurate for most scientific applications. However, for a rapidly growing body of important scientific computing applications, a higher level of numeric precision is required. Such calculations are facilitated by high-precision software packages that include high-level language translation modules to minimize the conversion effort. This paper presents an overview of recent applications of these techniques and provides some analysis of their numerical requirements. We conclude that high-precision arithmetic facilities are now an indispensable component of a modern large-scale scientific computing environment.", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", keywords = "Dynamical systems; Experimental mathematics; High-precision computation; Mathematical physics", } @Misc{Bailey:2012:MPI, author = "David H. Bailey and Jonathan Borwein", title = "Mathematician\slash physicist\slash inventor {Richard Crandall} dies at 64", howpublished = "Web blog.", day = "21", month = dec, year = "2012", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://experimentalmath.info/blog/2012/12/mathematicianphysicistinventor-richard-crandall-dies-at-64/", acknowledgement = ack-nhfb, } @InCollection{Bailey:2012:ND, author = "David H. Bailey and Jonathan M. Borwein and Cristian S. Calude and Michael J. Dinneen and Monica Dumitrescu and Alex Yee", editor = "David H. Bailey and Jonathan M. Borwein", booktitle = "Exploratory Experimentation in Mathematics: Selected Works", title = "Normality and the Digits of $ \pi $", publisher = "Perfectly Scientific Press", address = "Portland, OR, USA", day = "3", month = feb, year = "2012", bibdate = "Fri Sep 30 08:47:20 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/normality-digits-pi.pdf", abstract = "The question of whether (and why) the digits of well-known constants of mathematics are statistically random in some sense has long fascinated mathematicians. Indeed, one prime motivation in computing and analyzing digits of $ \pi $ is to explore the age-old question of whether and why these digits appear ``random.'' The first computation on ENIAC in 1949 of $ \pi $ to 2037 decimal places was proposed by John von Neumann to shed some light on the distribution of $ \pi $ (and of $e$) [8, pp. 277--281].", acknowledgement = ack-nhfb, } @Unpublished{Bailey:2012:NP, author = "D. H. Bailey and J. M. Borwein and C. S. Calude and M. J. Dinneen and M. Dumitrescu and A. Yee", title = "Normality and pi", month = feb, year = "2012", bibdate = "Tue Aug 16 09:57:02 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", URL = "http://www.carma.newcastle.edu.au/jon/normality-long.pdf", acknowledgement = ack-nhfb, } @Article{Bailey:2012:NSC, author = "David H. Bailey and Jonathan M. Borwein", title = "Nonnormality of {Stoneham} constants", journal = j-RAMANUJAN-J, volume = "29", number = "1--3", pages = "409--422", year = "2012", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-012-9417-3", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11K16 (11K31)", MRnumber = "2994109", MRreviewer = "Robert F. Tichy", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1386/", ZMnumber = "1336.11055", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @TechReport{Bailey:2012:SMP, author = "David H. Bailey and Jonathan M. Borwein", title = "Solution to Monthly Problem 11650", type = "Report", institution = "Lawrence Berkeley National Laboratory and Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle and King Abdulaziz University", address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308, Australia and Jeddah 80200, Saudi Arabia.", pages = "2", day = "14", month = jun, year = "2012", bibdate = "Fri Sep 30 08:56:31 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/amm-11650.pdf", acknowledgement = ack-nhfb, } @Misc{Bailey:2012:YMA, author = "David Bailey and Jonathan Borwein", title = "Is your mate actually a computer? {Would} you pass the {``Turing test''}?", howpublished = "Web blog.", day = "27", month = apr, year = "2012", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib", URL = "http://experimentalmath.info/blog/2012/04/will-computers-soon-pass-the-turing-test/", acknowledgement = ack-nhfb, } @Article{Bauschke:2012:BBT, author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao", title = "The {Br{\'e}zis--Browder} theorem in a general {Banach} space", journal = j-J-FUNCT-ANAL, volume = "262", number = "12", pages = "4948--4971", year = "2012", CODEN = "JFUAAW", DOI = "https://doi.org/10.1016/j.jfa.2012.03.023", ISSN = "0022-1236 (print), 1096-0783 (electronic)", ISSN-L = "0022-1236", MRclass = "47H05 (47H04 49N15)", MRnumber = "2916057", MRreviewer = "Simeon Reich", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0022123612001462", abstract = "During the 1970s Br{\'e}zis and Browder presented a now classical characterization of maximal monotonicity of monotone linear relations in reflexive spaces. In this paper, we extend (and refine) their result to a general Banach space. We also provide an affirmative answer to a problem posed by Phelps and Simons.", acknowledgement = ack-nhfb, fjournal = "Journal of Functional Analysis", journal-URL = "http://www.sciencedirect.com/science/journal/00221236", keywords = "Adjoint; Br{\'e}zis--Browder Theorem; Linear relation; Monotone operator; Operator of type (D); Operator of type (FP); Operator of type (NI); Set-valued operator; Skew operator; Symmetric operator", } @Article{Bauschke:2012:CPM, author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao", title = "Construction of pathological maximally monotone operators on non-reflexive {Banach} spaces", journal = j-SET-VALUED-VAR-ANAL, volume = "20", number = "3", pages = "387--415", year = "2012", DOI = "https://doi.org/10.1007/s11228-012-0209-0", ISSN = "1877-0533 (print), 1877-0541 (electronic)", ISSN-L = "1877-0533", MRclass = "47H05 (47A06 47B65)", MRnumber = "2949634", MRreviewer = "Simeon Reich", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1108.1463; http://docserver.carma.newcastle.edu.au/1090/", acknowledgement = ack-nhfb, fjournal = "Set-Valued and Variational Analysis", journal-URL = "http://link.springer.com/journal/11228", } @Article{Bauschke:2012:EMM, author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao", title = "Every maximally monotone operator of {Fitzpatrick--Phelps} type is actually of dense type", journal = j-OPTIM-LETT, volume = "6", number = "8", pages = "1875--1881", year = "2012", DOI = "https://doi.org/10.1007/s11590-011-0383-2", ISSN = "1862-4472 (print), 1862-4480 (electronic)", ISSN-L = "1862-4472", MRclass = "47H05 (47H04 49J53)", MRnumber = "2996490", MRreviewer = "Patrick L. Combettes", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1104.0750; http://docserver.carma.newcastle.edu.au/1442/", acknowledgement = ack-nhfb, ajournal = "Optim. Lett.", fjournal = "Optimization Letters", journal-URL = "http://link.springer.com/journal/11590", } @Article{Borwein:2012:CUC, author = "Jonathan M. Borwein and Jon Vanderwerff", title = "Constructions of Uniformly Convex Functions", journal = j-CAN-MATH-BULL, volume = "55", number = "4", pages = "697--707", month = dec, year = "2012", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-2011-049-2", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "49J53 (46G05 52A41 90C25)", MRnumber = "2994675", MRreviewer = "Constantin Z{\u{a}}linescu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://cms.math.ca/cmb/v55/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/canmathbull.bib", URL = "http://docserver.carma.newcastle.edu.au/778/", abstract = "We give precise conditions under which the composition of a norm with a convex function yields a uniformly convex function on a Banach space. Various applications are given to functions of power type. The results are dualized to study uniform smoothness and several examples are provided.", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Borwein:2012:CZD, author = "J. M. Borwein and R. S. Burachik and L. Yao", title = "Conditions for zero duality gap in convex programming", journal = "ArXiv e-prints", month = nov, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1211.4953B; http://docserver.carma.newcastle.edu.au/1465/", abstract = "We introduce and study a new dual condition which characterizes zero duality gap in nonsmooth convex optimization. We prove that our condition is weaker than all existing constraint qualifications, including the closed epigraph condition. Our dual condition was inspired by, and is weaker than, the so-called Bertsekas' condition for monotropic programming problems. We give several corollaries of our result and special cases as applications. We pay special attention to the polyhedral and sublinear cases, and their implications in convex optimization.", acknowledgement = ack-nhfb, eprint = "1211.4953", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, 49J52, 48N15 (Primary) 90C25, 90C30, 90C46 (Secondary)", primaryclass = "math.FA", } @Article{Borwein:2012:DSU, author = "Jonathan M. Borwein and Armin Straub and James Wan and Wadim Zudilin", title = "Densities of short uniform random walks", journal = j-CAN-J-MATH, volume = "64", number = "5", pages = "961--990", year = "2012", CODEN = "CJMAAB", DOI = "https://doi.org/10.4153/CJM-2011-079-2", ISSN = "0008-414X (print), 1496-4279 (electronic)", ISSN-L = "0008-414X", MRclass = "60G50 (11R06 33C20 82B41)", MRnumber = "2979573", MRreviewer = "Aklilu Zeleke", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "With an appendix by Don Zagier.", URL = "http://arxiv.org/abs/1103.2995; http://docserver.carma.newcastle.edu.au/1388/", acknowledgement = ack-nhfb, fjournal = "Canadian Journal of Mathematics. Journal Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cjm/", } @InCollection{Borwein:2012:EED, author = "Jonathan Michael Borwein", title = "Exploratory Experimentation: Digitally-assisted Discovery and Proof", crossref = "Hanna:2012:PPM", pages = "69--96", year = "2012", DOI = "https://doi.org/10.1007/978-94-007-2129-6_4", bibdate = "Sat Aug 13 15:47:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/393/; http://link.springer.com/chapter/10.1007/978-94-007-2129-6_4", acknowledgement = ack-nhfb, } @Book{Borwein:2012:IMM, author = "Jonathan M. Borwein and Matthew P. Skerritt", title = "An introduction to modern mathematical computing: with {Mathematica}\reg{}", publisher = pub-SV, address = pub-SV:adr, year = "2012", DOI = "https://doi.org/10.1007/978-1-4614-4253-0", ISBN = "1-4614-4252-4 (print), 1-4614-4253-2 (e-book)", ISBN-13 = "978-1-4614-4252-3 (print), 978-1-4614-4253-0 (e-book)", ISSN = "1867-5506 (print), 1867-5514 (electronic)", ISSN-L = "1867-5506", LCCN = "QA76.95 .B67 2012", bibdate = "Tue Aug 16 08:35:55 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCato; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", series = "Springer undergraduate texts in mathematics and technology", URL = "http://public.eblib.com/choice/publicfullrecord.aspx?p=1030664", abstract = "Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple, Mathematica, and Matlab. An Introduction to Modern Mathematical Computing: With Mathematica looks beyond teaching the syntax and semantics of Mathematica and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an ``experimental mathematician,'' and will supply useful information about how to create better proofs. The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Mathematica program. Also by J. M. Borwein and M. B. Skerritt: An Introduction to Modern Mathematical Computing: With Maple c2011, ISBN: 978-1-4614-0121-6, 216 p. and 81 color illustrations.", acknowledgement = ack-nhfb, subject = "Mathematics; Data processing; Computer science; Mathematics.; Data processing.", tableofcontents = "Number theory \\ Calculus \\ Linear algebra \\ Visualization and geometry: a postscript", } @TechReport{Borwein:2012:LPA, author = "Jonathan M. Borwein", title = "The Life of Pi: From {Archimedes} to {ENIAC} and Beyond", type = "Report", institution = "Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle", address = "Callaghan, NSW 2308, Australia", pages = "30", day = "19", month = jun, year = "2012", bibdate = "Sat Sep 03 16:38:50 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Prepared for Berggren Festschrift. Updated and revised version of \cite{Borwein:2008:VPG}.", URL = "http://carma.newcastle.edu.au/jon/pi-2012.pdf", acknowledgement = ack-nhfb, } @Article{Borwein:2012:LSEa, author = "Jonathan M. Borwein and Armin Straub", title = "Log-sine evaluations of {Mahler} measures", journal = j-J-AUSTRAL-MATH-SOC, volume = "92", number = "1", pages = "15--36", year = "2012", CODEN = "JAUMAX", DOI = "https://doi.org/10.1017/S1446788712000067", ISSN = "1446-7887 (print), 1446-8107 (electronic)", ISSN-L = "1446-7887", MRclass = "33E20 (11R06 33F10)", MRnumber = "2945674", MRreviewer = "Qiang Wu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1384/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8610681", acknowledgement = ack-nhfb, fjournal = "Journal of the Australian Mathematical Society", } @Article{Borwein:2012:LSEb, author = "David Borwein and Jonathan M. Borwein and Armin Straub and James Wan", title = "Log-sine evaluations of {Mahler} measures, {II}", journal = j-INTEGERS, volume = "12", number = "6", pages = "1179--1212", year = "2012", CODEN = "INTEHN", DOI = "https://doi.org/10.1515/integers-2012-0035", ISSN = "1867-0652 (print), 1867-0660 (electronic)", MRclass = "11R06", MRnumber = "3011556", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1103.3035; http://docserver.carma.newcastle.edu.au/1435/", acknowledgement = ack-nhfb, fjournal = "Integers", journal-URL = "http://www.degruyter.com/view/j/integ", } @Article{Borwein:2012:LTI, author = "J. M. Borwein and L. Yao", title = "{Legendre}-type integrands and convex integral functions", journal = "ArXiv e-prints", month = aug, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1208.5217B; http://docserver.carma.newcastle.edu.au/1455/", abstract = "In this paper, we study the properties of integral functionals induced on $ L^1_{E(S, \mu)} $ by closed convex functions on a Euclidean space $E$. We give sufficient conditions for such integral functions to be strongly rotund (well-posed). We show that in this generality functions such as the Boltzmann--Shannon entropy and the Fermi--Dirac entropy are strongly rotund. We also study convergence in measure and give various limiting counterexample.", acknowledgement = ack-nhfb, eprint = "1208.5217", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 46B20, 34H05, Secondary 47H05, 47N10, 90C25", primaryclass = "math.FA", } @Article{Borwein:2012:MEF, author = "Jonathan M. Borwein", title = "Maximum entropy and feasibility methods for convex and nonconvex inverse problems", journal = j-OPTIMIZATION, volume = "61", number = "1", pages = "1--33", year = "2012", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331934.2011.632502", ISSN = "0233-1934, 0323-3898", ISSN-L = "0233-1934", MRclass = "49-02 (45Q05 49J53 90C25 94A17)", MRnumber = "2875572", MRreviewer = "Patrick L. Combettes", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1439/", acknowledgement = ack-nhfb, fjournal = "Optimization. A Journal of Mathematical Programming and Operations Research", } @Unpublished{Borwein:2012:MMO, author = "Jonathan M. Borwein and Liangjin Yao", title = "Maximally monotone operators of negative infimum type are of dense type: the proof revisited", month = jun, year = "2012", bibdate = "Tue Aug 16 09:56:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Borwein:2012:MSM, author = "J. M. Borwein and L. Yao", title = "Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator", journal = "ArXiv e-prints", month = dec, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1212.4266B; http://docserver.carma.newcastle.edu.au/1483/", abstract = "The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $ A + B $ provided that $ A, B $ are maximally monotone and $A$ is a linear relation, as soon as Rockafellar's constraint qualification holds: $ \dom A \cap \inte \dom B \neq \varnothing $. Moreover, $ A + B$ is of type (FPV).", acknowledgement = ack-nhfb, eprint = "1212.4266", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 47A06, 47H05, Secondary 47B65, 47N10, 90C25", primaryclass = "math.FA", } @Article{Borwein:2012:OMT, author = "Jonathan Borwein and Veselin Jungi{\'c}", title = "Organic Mathematics: then and now", journal = j-NAMS, volume = "59", number = "3", pages = "416--419", month = mar, year = "2012", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sat Aug 13 15:39:26 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1397/; http://www.ams.org/notices/201203/rtx120300416p.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Borwein:2012:RCS, author = "Jonathan Borwein and Peter B. Borwein and Veselin Jungi{\'c}", title = "Remote Collaboration: Six Years of the Coast-To-Coast Seminar Series", journal = "Science Communication", volume = "34", number = "3", pages = "419--428", month = jun, year = "2012", DOI = "https://doi.org/10.1177/1075547012443020", ISSN = "1075-5470 (print), 1552-8545 (electronic)", ISSN-L = "1075-5470", bibdate = "Fri Aug 12 08:54:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1387/; http://scx.sagepub.com/content/34/3/419.abstract", acknowledgement = ack-nhfb, journal-URL = "http://scx.sagepub.com/content/by/year", } @InCollection{Borwein:2012:REA, author = "Jonathan M. Borwein and Judy-anne Osborn", title = "Response to ``Experimental Approaches to Theoretical Thinking \ldots{}''", crossref = "Hanna:2012:PPM", pages = "??--??", year = "2012", bibdate = "Sat Aug 13 15:47:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, remark = "I cannot find this a the publisher Web site??", } @Article{Borwein:2012:RPMa, author = "J. M. Borwein and L. Yao", title = "Recent progress on Monotone Operator Theory", journal = "ArXiv e-prints", month = oct, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1210.3401B; http://docserver.carma.newcastle.edu.au/1457/", abstract = "In this paper, we survey recent progress on the theory of maximally monotone operators in general Banach space. We also extend various of the results and leave some open questions.", acknowledgement = ack-nhfb, eprint = "1210.3401", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, 47H05 (Primary) 46B10, 47A06, 47B65, 47N10, 90C25 (Secondary)", primaryclass = "math.FA", } @Article{Borwein:2012:RPS, author = "Jonathan M. Borwein", title = "{Ramanujan} and {Pi}: {Srinivasa Ramanujan}: Going strong at 125", journal = j-NAMS, volume = "59", number = "11", pages = "534--537", month = nov, year = "2012", CODEN = "AMNOAN", DOI = "", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Fri Aug 12 08:47:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1379/", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Borwein:2012:SRC, author = "J. M. Borwein and L. Yao", title = "Some results on the convexity of the closure of the domain of a maximally monotone operator", journal = "ArXiv e-prints", month = may, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1205.4482B; http://docserver.carma.newcastle.edu.au/1373/", abstract = "We provide a concise analysis about what is known regarding when the closure of the domain of a maximally monotone operator on an arbitrary real Banach space is convex. In doing so, we also provide an affirmative answer to a problem posed by Simons.", acknowledgement = ack-nhfb, eprint = "1205.4482", keywords = "Mathematics - Functional Analysis, 47H05 (Primary) 26B25, 47A05, 47B65 (Secondary)", primaryclass = "math.FA", } @Article{Borwein:2012:SS, author = "David Borwein and Jonathan M. Borwein and Armin Straub", title = "A sinc that sank", journal = j-AMER-MATH-MONTHLY, volume = "119", number = "7", pages = "535--549", year = "2012", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.119.07.535", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "33B10 (26A09)", MRnumber = "2956424", MRreviewer = "M{\'a}rcia Kashimoto", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1391/", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:2012:STMa, author = "J. M. Borwein and L. Yao", title = "Structure theory for maximally monotone operators with points of continuity", journal = "ArXiv e-prints", month = mar, year = "2012", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2012arXiv1203.1101B; http://docserver.carma.newcastle.edu.au/1375/", abstract = "In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of the norm-to-weak$^*$ closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.", acknowledgement = ack-nhfb, eprint = "1203.1101", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 47H05, Secondary 47B65, 47N10, 90C25", primaryclass = "math.FA", } @Article{Piantadosi:2012:CME, author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein", title = "Copulas with maximum entropy", journal = j-OPTIM-LETT, volume = "6", number = "1", pages = "99--125", year = "2012", DOI = "https://doi.org/10.1007/s11590-010-0254-2", ISSN = "1862-4472 (print), 1862-4480 (electronic)", ISSN-L = "1862-4472", MRclass = "60E05 (62H05 90C25)", MRnumber = "2886586", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1394/", acknowledgement = ack-nhfb, ajournal = "Optim. Lett.", fjournal = "Optimization Letters", journal-URL = "http://link.springer.com/journal/11590", } @Article{Piantadosi:2012:MEM, author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein and John Henstridge", title = "Maximum entropy methods for generating simulated rainfall", journal = j-NUMER-ALGEBRA-CONTROL-OPTIM, volume = "2", number = "2", pages = "233--256", year = "2012", DOI = "https://doi.org/10.3934/naco.2012.2.233", ISSN = "2155-3289 (print), 2155-3297 (electronic)", ISSN-L = "2155-3297", MRclass = "62H05 (52A41 65C05)", MRnumber = "2929449", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, ajournal = "Numer. Algebra Control Optim.", fjournal = "Numerical Algebra, Control and Optimization", journal-URL = "http://aimsciences.org/journals/home.jsp?journalID=22", } @Article{AragonArtacho:2013:ACA, author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and V. Mart{\'\i}n-M{\'a}rquez and L. Yao", title = "Applications of Convex Analysis within Mathematics", journal = "ArXiv e-prints", month = feb, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1302.1978A; http://docserver.carma.newcastle.edu.au/1513/", abstract = "In this paper, we study convex analysis and its theoretical applications. We first apply important tools of convex analysis to Optimization and to Analysis. We then show various deep applications of convex analysis and especially infimal convolution in Monotone Operator Theory. Among other things, we recapture the Minty surjectivity theorem in Hilbert space, and present a new proof of the sum theorem in reflexive spaces. More technically, we also discuss autoconjugate representers for maximally monotone operators. Finally, we consider various other applications in mathematical analysis.", acknowledgement = ack-nhfb, eprint = "1302.1978", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 47N10, 90C25, Secondary 47H05, 47A06, 47B65", primaryclass = "math.FA", } @Article{AragonArtacho:2013:DRF, author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and M. K. Tam", title = "{Douglas--Rachford} Feasibility Methods for Matrix Completion Problems", journal = "ArXiv e-prints", month = aug, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1308.4243A", abstract = "In this paper we give general recommendations for successful application of the Douglas--Rachford reflection method to convex and non-convex real matrix-completion problems. These guidelines are demonstrated by various illustrative examples.", acknowledgement = ack-nhfb, eprint = "1308.4243", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Article{AragonArtacho:2013:GCN, author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M. Borwein", title = "Global convergence of a non-convex {Douglas--Rachford} iteration", journal = j-J-GLOBAL-OPT, volume = "57", number = "3", pages = "753--769", year = "2013", CODEN = "JGOPEO", DOI = "https://doi.org/10.1007/s10898-012-9958-4", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "47J25 (47H10 90C26)", MRnumber = "3119379", MRreviewer = "Patrick L. Combettes", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1203.2392; http://docserver.carma.newcastle.edu.au/1061/", acknowledgement = ack-nhfb, fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", } @Article{AragonArtacho:2013:RRDa, author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and M. K. Tam", title = "Recent Results on {Douglas--Rachford} Methods for Combinatorial Optimization Problems", journal = "ArXiv e-prints", month = may, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1305.2657A; http://docserver.carma.newcastle.edu.au/1510/", abstract = "We discuss recent positive experiences applying convex feasibility algorithms of Douglas--Rachford type to highly combinatorial and far from convex problems.", acknowledgement = ack-nhfb, eprint = "1305.2657", keywords = "Mathematics - Optimization and Control, Mathematics - Combinatorics, 90C27, 90C59, 47N10", primaryclass = "math.OC", } @Article{AragonArtacho:2013:RRDb, author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M. Borwein and Matthew K. Tam", title = "Recent results on {Douglas--Rachford} methods", journal = j-SERDICA-MATH-J, volume = "39", number = "3--4", pages = "313--330", year = "2013", ISSN = "1310-6600", MRclass = "90C27 (90C59)", MRnumber = "3203190", MRreviewer = "Patrick L. Combettes", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.math.bas.bg/serdica/", acknowledgement = ack-nhfb, fjournal = "Serdica. Mathematical Journal. Serdika. Matematichesko Spisanie", } @Article{AragonArtacho:2013:WRN, author = "Francisco J. {Arag{\'o}n Artacho} and David H. Bailey and Jonathan M. Borwein and Peter B. Borwein", title = "Walking on Real Numbers", journal = j-MATH-INTEL, volume = "35", number = "1", pages = "42--60", month = mar, year = "2013", CODEN = "MAINDC", DOI = "https://doi.org/10.1007/s00283-012-9340-x", ISSN = "0343-6993 (print), 1866-7414 (electronic)", ISSN-L = "0343-6993", MRclass = "11Y60 (60A99 60F05)", MRnumber = "3041991", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://docserver.carma.newcastle.edu.au/1475/; http://gigapan.com/gigapans/106803; http://link.springer.com/article/10.1007%2Fs00283-012-9340-x; http://www.davidhbailey.com/dhbpapers/tools-walk.pdf", acknowledgement = ack-nhfb, fjournal = "The Mathematical Intelligencer", journal-URL = "http://link.springer.com/journal/283", keywords = "Catalan's constant; Champernowne numbers; continued fractions; Copeland--Erd{\H{o}}s numbers; DNA genome numbers; dragon curves; Erd{\H{o}}s--Borwein numbers; Euler--Mascherino constant ($\gamma$); expected random-walk distance; exponential constant ($e$); Fibonacci constant ($F$); Gauss--Kuzmin distribution; irrational numbers; Koch snowflakes; Liouville number ($\lambda_2$); logarithmic constant ($\log 2$); Minkowski--Bouligand dimension; normal numbers; normalized random-walk distance; paper-folding constant; paper-folding numbers; pi (number); random walks; Riemann zeta numbers ($\zeta(n)$); self-similarity; Stoneham numbers; strong normality; Thue--Morse numbers; transcendental numbers; turtle plots", } @Article{Bailey:2013:CLS, author = "David H. Bailey and Jonathan M. Borwein", title = "Compressed lattice sums arising from the {Poisson} equation", journal = j-BOUND-VALUE-PROBL, volume = "75", number = "1", pages = "1--18", year = "2013", DOI = "https://doi.org/10.1186/1687-2770-2013-75", ISSN = "1687-2770", MRclass = "35J15 (35C10)", MRnumber = "3055839", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special volume in honour of Hari Srivastava.", URL = "http://boundaryvalueproblems.springeropen.com/articles/10.1186/1687-2770-2013-75; http://docserver.carma.newcastle.edu.au/1476/; http://www.boundaryvalueproblems.com/content/2013/1/75", acknowledgement = ack-nhfb, ajournal = "Bound. Value Probl.", fjournal = "Boundary Value Problems", journal-URL = "http://boundaryvalueproblems.springeropen.com/", onlinedate = "13 May 2013", } @Unpublished{Bailey:2013:CPF, author = "D. H. Bailey and J. M. Borwein and M. {L{\'o}pez de Prado} and Qiji Zhu", title = "Computing the Probability of Over-Fitting in the Back-Testing and Optimization of Investment Strategies", month = sep, year = "2013", bibdate = "Tue Aug 16 09:54:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", URL = "http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2308659", acknowledgement = ack-nhfb, } @Article{Bailey:2013:CPI, author = "David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick", title = "The computation of previously inaccessible digits of {$ \pi^2 $} and {Catalan}'s constant", journal = j-NAMS, volume = "60", number = "7", pages = "844--854", year = "2013", CODEN = "AMNOAN", DOI = "https://doi.org/10.1090/noti1015", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "11Y60 (65-04)", MRnumber = "3086394", MRreviewer = "Michael M. Dediu", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1436/; http://www.ams.org/notices/201307/rnoti-p844.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Bailey:2013:DPR, author = "David H. Bailey and Jonathan M. Borwein", title = "Are the Digits of Pi Random?", journal = "Huffington Post", day = "16", month = apr, year = "2013", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/are-the-digits-of-pi-random_b_3085725.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:EFS, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and Michael G. Rose", title = "Expectations on fractal sets", journal = j-APPL-MATH-COMP, volume = "220", number = "??", pages = "695--721", day = "1", month = sep, year = "2013", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2013.06.078", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "28A80 (60G18 60G50)", MRnumber = "3091892", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1454/; http://www.sciencedirect.com/science/article/pii/S0096300313007273", abstract = "Using fractal self-similarity and functional-expectation relations, the classical theory of box integrals -- being expectations on unit hypercubes -- is extended to a class of fractal ``string-generated Cantor sets'' (SCSs) embedded in unit hypercubes of arbitrary dimension. Motivated by laboratory studies on the distribution of brain synapses, these SCSs were designed for dimensional freedom -- a suitable choice of generating string allows for fine-tuning the fractal dimension of the corresponding set. We also establish closed forms for certain statistical moments on SCSs, develop a precision algorithm for high embedding dimensions, and report various numerical results. The underlying numerical quadrature issues are in themselves quite challenging.", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", keywords = "Expectations; Fractals; Monte Carlo methods; Numerical quadrature; Self-similarity", } @Unpublished{Bailey:2013:HPA, author = "David H. Bailey and Jonathan M. Borwein", title = "High-Precision Arithmetic: Opportunities and Challenges", month = aug, year = "2013", bibdate = "Tue Aug 16 09:53:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Bailey:2013:LSA, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and I. John Zucker", title = "Lattice sums arising from the {Poisson} equation", journal = j-J-PHYS-A-MATH-THEOR, volume = "46", number = "11", pages = "115201", month = mar, year = "2013", CODEN = "JPAMB5", DOI = "https://doi.org/10.1088/1751-8113/46/11/115201", ISSN = "1751-8113 (print), 1751-8121 (electronic)", ISSN-L = "1751-8113", MRclass = "35J05 (11Y40 35C05)", MRnumber = "3030150", bibdate = "Fri Sep 30 09:24:58 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://adsabs.harvard.edu/abs/2013JPhA...46k5201B; http://docserver.carma.newcastle.edu.au/1458/; http://iopscience.iop.org/article/10.1088/1751-8113/46/11/115201; http://stacks.iop.org/1751-8121/46/i=11/a=115201; http://www.davidhbailey.com/dhbpapers/PoissonLattice.pdf", abstract = "In recent times, attention has been directed to the problem of solving the Poisson equation, either in engineering scenarios (computational) or in regard to crystal structure (theoretical). Herein we study a class of lattice sums that amount to Poisson solutions, namely the $n$-dimensional forms $ \phi_n(r_1, \dots, r_n) = \frac {1}{\pi^2} \sum_{ m_1, \dots, m_n {\rm odd}} \frac { e^{ i \pi (m_1 r_1 + \cdots + m_n r_n)}}{m_1^2 + \cdots + m_n^2} $. \par By virtue of striking connections with Jacobi $ \thetav $-function values, we are able to develop new closed forms for certain values of the coordinates r$_k$, and extend such analysis to similar lattice sums. A primary result is that for rational $x$, $y$, the natural potential $ \phiv_2 (x, y)$ is $ \frac {1}{\pi } \log A$ where $A$ is an algebraic number. Various extensions and explicit evaluations are given. Such work is made possible by number-theoretical analysis, symbolic computation and experimental mathematics, including extensive numerical computations using up to 20,000-digit arithmetic.", acknowledgement = ack-nhfb, eid = "115201", fjournal = "Journal of Physics A: Mathematical and Theoretical", journal-URL = "http://iopscience.iop.org/1751-8121", onlinedate = "25 February 2013", pagecount = "31", } @InCollection{Bailey:2013:NNP, author = "David H. Bailey and Jonathan M. Borwein", title = "Normal numbers and pseudorandom generators", crossref = "Bailey:2013:CAM", volume = "50", pages = "1--18", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4_1", MRclass = "11K16 (11A63 11K45)", MRnumber = "3108419", MRreviewer = "John H. Loxton", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", series = "Springer Proc. Math. Stat.", URL = "http://docserver.carma.newcastle.edu.au/1448/", acknowledgement = ack-nhfb, } @Article{Bailey:2013:OSD, author = "D. H. Bailey and J. M. Borwein and Victoria Stodden", title = "Opinion: Set the default to ``open''", journal = j-NAMS, volume = "60", number = "6", pages = "679--680", month = jun # "\slash " # jul, year = "2013", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sat Aug 13 15:29:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ams.org/notices/201306/rnoti-p679.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", remark = "Commentary on reproducibility in Computational and Experimental Mathematics.", } @TechReport{Bailey:2013:PDU, author = "David H. Bailey and Jonathan M. Borwein", title = "Pi Day is upon us again and we still do not know if Pi is normal", type = "Report", institution = "Lawrence Berkeley National Laboratory and Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle", address = "Berkeley, CA 94720, USA and Callaghan, NSW 2308, Australia", pages = "20", day = "29", month = may, year = "2013", bibdate = "Fri Aug 12 18:29:28 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://www.carma.newcastle.edu.au/jon/pi-monthly.pdf", acknowledgement = ack-nhfb, } @Unpublished{Bailey:2013:SDRa, author = "D. H. Bailey and J. Borwein and R. J. LeVeque and W. Rider and W. Stein and V. Stodden", title = "Setting the Default to Reproducible. {Report} on the {ICERM} Workshop: Reproducibility in Computational and Experimental Mathematics, {December 10--14, 2012}", month = jan, year = "2013", bibdate = "Tue Aug 16 09:54:58 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint in collaboration with the workshop participants.", URL = "http://www.carma.newcastle.edu.au/jon/icerm12.pdf", acknowledgement = ack-nhfb, } @Article{Bauschke:2013:MOB, author = "Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao", title = "Monotone operators and ``bigger conjugate'' functions", journal = j-J-CONVEX-ANAL, volume = "20", number = "1", pages = "143--155", year = "2013", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "47H05 (47N10 49J53)", MRnumber = "3086445", MRreviewer = "Aris Daniilidis", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1477/; http://www.heldermann.de/JCA/JCA20/JCA201/jca20009.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:2013:ACR, author = "J. M. Borwein and G. Li and L. Yao", title = "Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets", journal = "ArXiv e-prints", month = apr, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1304.7965B; http://docserver.carma.newcastle.edu.au/1508/", abstract = "In this paper, we study the rate of convergence of the cyclic projection algorithm applied to finitely many basic semi-algebraic convex sets. We establish an explicit convergence rate estimate which relies on the maximum degree of the polynomials that generate the basic semi-algebraic convex sets and the dimension of the underlying space. We achieve our results by exploiting the algebraic structure of the basic semi-algebraic convex sets.", acknowledgement = ack-nhfb, eprint = "1304.7965", keywords = "Mathematics - Functional Analysis, Mathematics - Optimization and Control, Primary 41A25, 90C25, Secondary 41A50, 90C31", primaryclass = "math.FA", } @Unpublished{Borwein:2013:C, author = "J. M. Borwein", title = "CARMA", pages = "70--72", month = jul, year = "2013", bibdate = "Sat Aug 13 15:27:06 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "One of a small selected number of researchers featured in an issue with a focus on ``Mathematics, Statistics, Numerical and Computational Mathematics,'' International Innovation.", URL = "http://www.international-innovation-northamerica.com", acknowledgement = ack-nhfb, remark = "The URL domain no longer exists, and the reference from CV.pdf is uncertain.", } @Article{Borwein:2013:CDRa, author = "J. M. Borwein and M. K. Tam", title = "A Cyclic {Douglas--Rachford} Iteration Scheme", journal = "ArXiv e-prints", month = mar, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1303.1859B; http://docserver.carma.newcastle.edu.au/1469/", abstract = "In this paper we present two Douglas--Rachford inspired iteration schemes which can be applied directly to N-set convex feasibility problems in Hilbert space. Our main results are weak convergence of the methods to a point whose nearest point projections onto each of the N sets coincide. For affine subspaces, convergence is in norm. Initial results from numerical experiments, comparing our methods to the classical (product-space) Douglas--Rachford scheme, are promising.", acknowledgement = ack-nhfb, eprint = "1303.1859", keywords = "Mathematics - Optimization and Control, Mathematics - Functional Analysis", primaryclass = "math.OC", } @Article{Borwein:2013:CDRb, author = "J. M. Borwein and M. K. Tam", title = "The Cyclic {Douglas--Rachford} Method for Inconsistent Feasibility Problems", journal = "ArXiv e-prints", month = oct, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1310.2195B", abstract = "We analyse the behaviour of the newly introduced cyclic Douglas--Rachford algorithm for finding a point in the intersection of a finite number of closed convex sets. This work considers the case in which the target intersection set is possibly empty.", acknowledgement = ack-nhfb, eprint = "1310.2195", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Article{Borwein:2013:CFW, author = "Jonathan M. Borwein and Richard E. Crandall", title = "Closed forms: what they are and why we care", journal = j-NAMS, volume = "60", number = "1", pages = "50--65", month = jan, year = "2013", CODEN = "AMNOAN", DOI = "https://doi.org/10.1090/noti936", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "33F05", MRnumber = "3052463", MRreviewer = "Allan J. Mac Leod", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/767/; http://www.ams.org/notices/201301/rnoti-p50.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Borwein:2013:CIL, author = "Jonathan Borwein and Christopher Maitland and Matthew Skerritt", title = "Computation of an improved lower bound to {Giuga}'s primality conjecture", journal = j-INTEGERS, volume = "13", pages = "Paper No. A67, 14", year = "2013", CODEN = "INTEHN", ISSN = "1553-1732", MRclass = "11A25", MRnumber = "3118385", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1511/", acknowledgement = ack-nhfb, fjournal = "Integers. Electronic Journal of Combinatorial Number Theory", journal-URL = "http://www.degruyter.com/view/j/integ", } @Article{Borwein:2013:CLB, author = "Jonathan M. Borwein and Matthew Skerritt and Christopher Maitland", title = "Computation of a lower bound to {Giuga}'s primality conjecture", journal = j-INTEGERS, volume = "13", number = "??", pages = "??--??", month = "????", year = "2013", CODEN = "INTEHN", DOI = "", ISSN = "1867-0652 (print), 1867-0660 (electronic)", bibdate = "Fri Aug 12 08:29:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1511/", acknowledgement = ack-nhfb, fjournal = "Integers", journal-URL = "http://www.degruyter.com/view/j/integ", } @InCollection{Borwein:2013:EWC, author = "Jonathan Borwein and Michael Rose", title = "Explainer: what is Chaos Theory", crossref = "Tressider:2013:EDV", pages = "??--??", year = "2013", bibdate = "Sat Aug 13 15:19:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/explainer-what-is-chaos-theory-10620", acknowledgement = ack-nhfb, } @Book{Borwein:2013:LST, author = "J. M. Borwein and M. L. Glasser and R. C. McPhedran and J. G. Wan and I. J. Zucker", title = "Lattice Sums: Then and Now", volume = "150", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xx + 368", year = "2013", DOI = "https://doi.org/10.1017/CBO9781139626804", ISBN = "1-107-03990-8", ISBN-13 = "978-1-107-03990-2", MRclass = "11Mxx (11H06 11K99 11Lxx 11P21 82D25)", MRnumber = "3135109", MRreviewer = "S. L. Kalla", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "With a foreword by Helaman Ferguson and Claire Ferguson.", series = "Encyclopedia of Mathematics and its Applications", URL = "http://ebooks.cambridge.org/ebook.jsf?bid=CBO9781139626804", acknowledgement = ack-nhfb, tableofcontents = "Frontmatter / i--iv \\ Dedication / v--vi \\ Contents / vii--x \\ Foreword by Helaman and Claire Ferguson / xi--xvi \\ Preface / xvii--xx \\ 1: Lattice sums / 1--86 \\ 2: Convergence of lattice sums and Madelung's constant / 87--124 \\ 3: Angular lattice sums / 125--156 \\ 4: Use of Dirichlet series with complex characters / 157--185 \\ 5: Lattice sums and Ramanujan's modular equations / 186--201 \\ 6: Closed-form evaluations of three- and four-dimensional sums / 202--225 \\ 7: Electron sums / 226--246 \\ 8: Madelung sums in higher dimensions / 247--293 \\ 9: Seventy years of the Watson integrals / 294--323 \\ Appendix / 324--349 \\ References / 350--363 \\ Index / 364--368", } @Article{Borwein:2013:LSW, author = "D. Borwein and J. M. Borwein and A. Straub", title = "On lattice sums and {Wigner} limits", journal = "ArXiv e-prints", month = oct, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1310.1423B; http://docserver.carma.newcastle.edu.au/1509/", abstract = "Wigner limits are given formally as the difference between a lattice sum, associated to a positive definite quadratic form, and a corresponding multiple integral. To define these limits, which arose in work of Wigner on the energy of static electron lattices, in a mathematically rigorous way one commonly truncates the lattice sum and the corresponding integral and takes the limit along expanding hypercubes or other regular geometric shapes. We generalize the known mathematically rigorous two and three dimensional results regarding Wigner limits, as laid down in [Analysis of certain lattice sums, D. Borwein, J. M. Borwein, and R. Shail, 1989], to integer lattices of arbitrary dimension. In doing so, we also resolve a problem posed in Chapter 7 of [Lattice Sums: Then and Now, J. M. Borwein, L. Glasser, R. McPhedran, J. G. Wan, and I. J. Zucker, 2013]. For the sake of clarity, we begin by considering the simpler case of cubic lattice sums first, before treating the case of arbitrary quadratic forms. We also consider limits taken along expanding hyperballs with respect to general norms, and connect with classical topics such as Gauss's circle problem. An appendix is included to recall certain properties of Epstein zeta functions that are either used in the paper or serve to provide perspective.", acknowledgement = ack-nhfb, eprint = "1310.1423", keywords = "Mathematical Physics, Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory", primaryclass = "math-ph", } @Article{Borwein:2013:MMS, author = "Jonathan M. Borwein and Armin Straub", title = "{Mahler} measures, short walks and log-sine integrals", journal = j-THEOR-COMP-SCI, volume = "479", pages = "4--21", year = "2013", CODEN = "TCSCDI", DOI = "https://doi.org/10.1016/j.tcs.2012.10.025", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", MRclass = "11R06 (11M32 33E20 60G50 68W30)", MRnumber = "3034554", MRreviewer = "Kevin G. Hare", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Symbolic-Numerical Algorithms.", URL = "http://docserver.carma.newcastle.edu.au/1383/; http://www.sciencedirect.com/science/article/pii/S0304397512009462", abstract = "The Mahler measure of a polynomial in several variables has been a subject of much study over the past thirty years --- very few closed forms are proven but more are conjectured. In the case of multiple Mahler measures more tractable but interesting families exist. Using values of log-sine integrals we provide systematic evaluations of various higher and multiple Mahler measures. The evaluations in terms of log-sine integrals become particularly useful in light of the fact that log-sine integrals may be automatically reexpressed as polylogarithmic values. We present this correspondence along with related generating functions for log-sine integrals. Our initial interest in considering Mahler measures stems from a study of uniform random walks in the plane as first introduced by Pearson. The main results on the moments of the distance traveled by an n -step walk, as well as the corresponding probability density functions, are reviewed. It is the derivative values of the moments that are Mahler measures. This work would be impossible without very extensive symbolic and numeric computations. It also makes frequent use of the new NIST Handbook of Mathematical Functions and similar tools. Our intention is to show off the interplay between numeric and symbolic computing while exploring the three mathematical topics in the title.", acknowledgement = ack-nhfb, fjournal = "Theoretical Computer Science", journal-URL = "http://www.sciencedirect.com/science/journal/03043975", } @InCollection{Borwein:2013:MOE, author = "Jonathan M. Borwein and Regina S. Burachik and Liangjin Yao", title = "Monotone operators without enlargements", crossref = "Bailey:2013:CAM", volume = "50", pages = "79--103", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4_5", MRclass = "47H05", MRnumber = "3108423", MRreviewer = "Heinz H. Bauschke", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Springer Proc. Math. Stat.", URL = "http://docserver.carma.newcastle.edu.au/1447/", acknowledgement = ack-nhfb, } @Article{Borwein:2013:MSM, author = "Jonathan M. Borwein and Liangjin Yao", title = "Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator", journal = j-SET-VALUED-VAR-ANAL, volume = "21", number = "4", pages = "603--616", year = "2013", DOI = "https://doi.org/10.1007/s11228-013-0259-y", ISSN = "1877-0533 (print), 1877-0541 (electronic)", ISSN-L = "1877-0533", MRclass = "47H05 (47A05 47B65 90C25)", MRnumber = "3134450", MRreviewer = "Radu Ioan Bo{\c{t}}", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1212.4266; http://docserver.carma.newcastle.edu.au/1483/", acknowledgement = ack-nhfb, ajournal = "Set-Valued Var. Anal.", fjournal = "Set-Valued and Variational Analysis", journal-URL = "http://link.springer.com/journal/11228", } @Article{Borwein:2013:NCR, author = "J. M. Borwein and B. Sims and M. K. Tam", title = "Norm Convergence of Realistic Projection and Reflection Methods", journal = "ArXiv e-prints", month = dec, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1312.7323B; http://docserver.carma.newcastle.edu.au/1493/", abstract = "We provide sufficient conditions for norm convergence of various projection and reflection methods, as well as giving limiting examples regarding convergence rates.", acknowledgement = ack-nhfb, eprint = "1312.7323", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Article{Borwein:2013:STMa, author = "J. M. Borwein and L. Yao", title = "Sum theorems for maximally monotone operators of type ({FPV})", journal = "ArXiv e-prints", month = may, year = "2013", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2013arXiv1305.6691B; http://docserver.carma.newcastle.edu.au/1503/", abstract = "The most important open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that the classical Rockafellar's constraint qualification holds. In this paper, we establish the maximal monotonicity of $ A + B $ provided that $A$ and $B$ are maximally monotone operators such that $ \sta (\dom A) \cap \inte \dom B \neq \varnothing $, and $A$ is of type (FPV). We show that when also $ \dom A$ is convex, the sum operator: $ A + B$ is also of type (FPV). Our result generalizes and unifies several recent sum theorems.", acknowledgement = ack-nhfb, eprint = "1305.6691", keywords = "Mathematics - Functional Analysis, Primary 47H05, Secondary 49N15, 52A41, 90C25", primaryclass = "math.FA", } @Article{Borwein:2013:STMb, author = "Jonathan M. Borwein and Liangjin Yao", title = "Structure theory for maximally monotone operators with points of continuity", journal = j-J-OPT-THEORY-APPL, volume = "157", number = "1", pages = "1--24", year = "2013", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-012-0162-y", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "47H05 (46N10)", MRnumber = "3034040", MRreviewer = "Radu Ioan Bo{\c{t}}", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1203.1101; http://docserver.carma.newcastle.edu.au/1375/", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:2013:TSF, author = "Jonathan M. Borwein and Armin Straub and James Wan", title = "Three-Step and Four-Step Random Walk Integrals", journal = j-EXP-MATH, volume = "22", number = "1", pages = "1--14", year = "2013", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2013.748379", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "60G50 (33C20 33E05)", MRnumber = "3038778", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/763/", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Borwein:2013:VMP, author = "Jonathan M. Borwein and Qiji J. Zhu", title = "Variational methods in the presence of symmetry", journal = j-ADV-NONLINEAR-ANAL, volume = "2", number = "3", pages = "271--307", year = "2013", DOI = "https://doi.org/10.1515/anona-2013-1001", ISSN = "2191-9496 (print), 2191-950X (electronic)", ISSN-L = "2191-9496", MRclass = "49J53 (58E30)", MRnumber = "3089743", MRreviewer = "Nicolas Hadjisavvas", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1514/", acknowledgement = ack-nhfb, ajournal = "Adv. Nonlinear Anal.", fjournal = "Advances in Nonlinear Analysis", journal-URL = "http://www.degruyter.com/view/j/anona", } @InProceedings{Piantadosi:2013:GSR, author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein and John Henstridge", title = "Generation of simulated rainfall data at different time-scales", crossref = "Bean:2013:MDM", pages = "??--??", year = "2013", bibdate = "Sat Aug 13 15:52:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1381/", acknowledgement = ack-nhfb, } @TechReport{Piantadosi:2013:MSS, author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein", title = "Modelling and simulation of seasonal rainfall", type = "Report", institution = "MODSIM/ASOR", address = "Adelaide, SA, Australia", pages = "??", month = dec, year = "2013", bibdate = "Sat Aug 13 15:15:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1453/", acknowledgement = ack-nhfb, keywords = "Australian Society for Operations Research (ASOR)", } @Article{Stodden:2013:SDR, author = "Victoria Stodden and Jonathan Borwein and David H. Bailey", title = "``{Setting} the Default to Reproducible'' in Computational Science Research", journal = j-SIAM-NEWS, volume = "46", number = "5", pages = "4--6", month = jun, year = "2013", ISSN = "0036-1437", ISSN-L = "0036-1437", bibdate = "Fri Sep 02 07:29:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://sinews2.siam.org/DetailsPage/tabid/607/ArticleID/351/%E2%80%9CSetting-the-Default-to-Reproducible%E2%80%9D-in-Computational-Science-Research.aspx", acknowledgement = ack-nhfb, fjournal = "SIAM News", journal-URL = "http://www.siam.org/news/", } @Article{AragonArtacho:2014:DRF, author = "Francisco J. {Arag{\'o}n Artacho} and Jonathan M. Borwein and Matthew K. Tam", title = "{Douglas--Rachford} Feasibility Methods for Matrix Completion Problems", journal = j-ANZIAM-J, volume = "55", number = "4", pages = "299--326", month = apr, year = "2014", CODEN = "AJNOA2", DOI = "https://doi.org/10.1017/S1446181114000145", ISSN = "1446-1811 (print), 1446-8735 (electronic)", ISSN-L = "1446-1811", MRclass = "47J25 (15A83 65K05 90C59)", MRnumber = "3257300", MRreviewer = "Heinz H. Bauschke", bibdate = "Fri Sep 30 10:50:24 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1308.4243; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9347336", acknowledgement = ack-nhfb, fjournal = "The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ", } @Article{AragonArtacho:2014:RRD, author = "Fran {Arag{\'o}n Artacho} and Jonathan M. Borwein and Matthew Tam", title = "Recent Results on {Douglas--Rachford} Methods for Combinatorial Optimization Problems", journal = j-J-OPT-THEORY-APPL, volume = "163", number = "1", pages = "1--30", month = "????", year = "2014", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-013-0488-0", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "47J25 (90C27)", MRnumber = "3260973", MRreviewer = "Heinz H. Bauschke", bibdate = "Fri Aug 12 08:22:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1305.2657; http://docserver.carma.newcastle.edu.au/1510/", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Artacho:2014:ACA, author = "Francisco J. Arag{\'o}n Artacho and Jonathan M. Borwein and Victoria Mart{\'{\i}}n-M{\'a}rquez and Liangjin Yao", title = "Applications of convex analysis within mathematics", journal = j-MATH-PROG, volume = "148", number = "1--2", pages = "49--88", year = "2014", CODEN = "MHPGA4", DOI = "https://doi.org/10.1007/s10107-013-0707-3", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", MRclass = "47N10 (47A06 47B65 47H05 90C25)", MRnumber = "3274845", MRreviewer = "Aris Daniilidis", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special volume of Serdica Mathematical Journal in honour of Asen Dontchev.", URL = "http://arxiv.org/abs/1302.1978; http://docserver.carma.newcastle.edu.au/1513/", acknowledgement = ack-nhfb, fjournal = "Mathematical Programming. A Publication of the Mathematical Optimization Society", journal-URL = "http://link.springer.com/journal/10107", } @Article{Artacho:2014:RRD, author = "Francisco J. Arag{\'o}n Artacho and Jonathan M. Borwein and Matthew K. Tam", title = "Recent results on {Douglas--Rachford} methods for combinatorial optimization problems", journal = j-J-OPT-THEORY-APPL, volume = "163", number = "1", pages = "1--30", year = "2014", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-013-0488-0", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "47J25 (90C27)", MRnumber = "3260973", MRreviewer = "Heinz H. Bauschke", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1510/", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Bailey:2014:ASL, author = "David H. Bailey and Jonathan M. Borwein and Alexander D. Kaiser", title = "Automated simplification of large symbolic expressions", journal = j-J-SYMBOLIC-COMP, volume = "60", number = "??", pages = "120--136", year = "2014", CODEN = "JSYCEH", DOI = "https://doi.org/10.1016/j.jsc.2013.09.001", ISSN = "0747-7171 (print), 1095-855x (electronic)", ISSN-L = "0747-7171", MRclass = "68W30", MRnumber = "3131383", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "http://docserver.carma.newcastle.edu.au/1456/; http://www.sciencedirect.com/science/article/pii/S074771711300117X", abstract = "We present a set of algorithms for automated simplification of symbolic constants of the form $ \sum_i \alpha_i x_i $ with $ \alpha_i $ rational and $ x_i $ complex. The included algorithms, called SimplifySum (available from \url{https://github.com/alexkaiser/SimplifySum}), and implemented in Mathematica, remove redundant terms, attempt to make terms and the full expression real, and remove terms using repeated application of the multipair PSLQ integer relation detection algorithm. Also included are facilities for making substitutions according to user-specified identities. We illustrate this toolset by giving some real-world examples of its usage, including one, for instance, where the tool reduced a symbolic expression of approximately 100\,000 characters in size enough to enable manual manipulation to one with just four simple terms.", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "Computer algebra systems; Error correction; Experimental mathematics; Simplification", } @Article{Bailey:2014:CTE, author = "David H. Bailey and Jonathan M. Borwein and Richard E. Crandall", title = "Computation and theory of extended {Mordell--Tornheim--Witten} sums", journal = j-MATH-COMPUT, volume = "83", number = "288", pages = "1795--1821", year = "2014", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-2014-02768-3", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "33B15 (11M32 33F05 65D20 65D30)", MRnumber = "3194130", MRreviewer = "Mehdi Hassani", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.ams.org/mcom/2014-83-288; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://docserver.carma.newcastle.edu.au/1459/; http://www.ams.org/journals/mcom/2014-83-288/S0025-5718-2014-02768-3; http://www.ams.org/journals/mcom/2014-83-288/S0025-5718-2014-02768-3/S0025-5718-2014-02768-3.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @TechReport{Bailey:2014:OCC, author = "David H. Bailey and Jonathan M. Borwein and Olga Caprotti and Ursula Martin and Bruno Salvy and Michela Taufer", title = "Opportunities and Challenges in 21st Century Mathematical Computation: {ICERM} Workshop Report, {July 10--14, 2014}", institution = "????", address = "????", pages = "18", day = "28", month = aug, year = "2014", bibdate = "Tue Aug 16 09:53:29 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint in collaboration with the workshop participants.", URL = "http://www.davidhbailey.com/dhbpapers/ICERM-2014.pdf", abstract = "``Experimental mathematics'' has emerged in the past 25 years or so to become a competitive paradigm for research in the mathematical sciences. A workshop held at the Institute for Computational and Experimental Research in Mathematics (ICERM), July 21--25, 2014, explored emerging challenges of experimental mathematics in the rapidly changing era of modern computer technology. This report summarizes the workshop findings", acknowledgement = ack-nhfb, } @Article{Bailey:2014:OCE, author = "D. H. Bailey and J. M. Borwein", title = "Opportunities and Challenges in Experimental Mathematics", journal = j-SIAM-NEWS, volume = "47", number = "9", pages = "4, 8", month = "????", year = "2014", DOI = "", ISSN = "0036-1437", ISSN-L = "0036-1437", bibdate = "Sat Aug 13 13:56:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/icerm-summ.pdf", acknowledgement = ack-nhfb, fjournal = "SIAM News", journal-URL = "http://www.siam.org/news/", } @Article{Bailey:2014:PDUa, author = "David H. Bailey and Jonathan Borwein", title = "{Pi Day} is upon us again and we still do not know if pi is normal", journal = j-AMER-MATH-MONTHLY, volume = "121", number = "3", pages = "191--206", month = mar, year = "2014", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.121.03.191", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11K16 (11A63)", MRnumber = "3168990", MRreviewer = "Manfred G. Madritsch", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/journals/00029890.html; http://www.jstor.org/stable/10.4169/amermathmont.121.issue-03; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", note = "Chinese translation in Mathematical Advances in Translation (Chinese Academy of Science) [metadata unknown].", URL = "http://www.jstor.org/stable/pdfplus/10.4169/amer.math.monthly.121.03.191.pdf", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Bailey:2014:PDUb, author = "David H. Bailey and Jonathan M. Borwein", title = "{Pi Day} is upon us again, and we still do not know if pi is normal", journal = "Mathematical Advances of Translation", volume = "33", number = "??", pages = "222--235", month = "????", year = "2014", bibdate = "Fri Sep 30 08:59:40 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Chinese translation of \cite{Bailey:2014:PDUa}.", acknowledgement = ack-nhfb, language = "Chinese", remark = "TO DO: Find ISSN of this journal; it is not found in major library catalogs.", } @Article{Bailey:2014:PMF, author = "David H. Bailey and Jonathan M. Borwein and Marcos {L{\'o}pez de Prado} and Qiji Jim Zhu", title = "Pseudo-mathematics and financial charlatanism: the effects of backtest overfitting on out-of-sample performance", journal = j-NAMS, volume = "61", number = "5", pages = "458--471", month = may, year = "2014", CODEN = "AMNOAN", DOI = "https://doi.org/10.1090/noti1105", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "91G70 (62P05 91G80)", MRnumber = "3203237", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1506/; http://www.ams.org/notices/201405/rnoti-p458.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Bailey:2014:RTP, author = "D. H. Bailey and J. M. Borwein", title = "The recent trademarking of Pi: a troubling precedent", journal = j-NAMS, volume = "61", number = "10", pages = "121--124", month = nov, year = "2014", CODEN = "AMNOAN", DOI = "", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Fri Aug 12 07:48:44 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/id/eprint/1501; http://www.ams.org/notices/201410/rnoti-p1224.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Borwein:2014:ACR, author = "Jonathan M. Borwein and Guoyin Li and Liangjin Yao", title = "Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets", journal = j-SIAM-J-OPT, volume = "24", number = "1", pages = "498--527", year = "2014", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/130919052", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "47J25 (90C25 90C31)", MRnumber = "3180867", MRreviewer = "Francisco J. Arag{\'o}n Artacho", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1304.7965; http://docserver.carma.newcastle.edu.au/1508/", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Borwein:2014:CDR, author = "Jonathan M. Borwein and Matthew K. Tam", title = "A cyclic {Douglas--Rachford} iteration scheme", journal = j-J-OPT-THEORY-APPL, volume = "160", number = "1", pages = "1--29", year = "2014", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-013-0381-x", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "47J25 (90C25 90C48)", MRnumber = "3149115", MRreviewer = "Francisco J. Arag{\'o}n Artacho", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1303.1859; http://docserver.carma.newcastle.edu.au/1469/", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:2014:CZD, author = "Jonathan M. Borwein and Regina S. Burachik and Liangjin Yao", title = "Conditions for zero duality gap in convex programming", journal = j-J-NONLINEAR-CONVEX-ANAL, volume = "15", number = "1", pages = "167--190", year = "2014", ISSN = "1345-4773 (print), 1880-5221 (electronic)", ISSN-L = "1345-4773", MRclass = "49J52 (49N15 90C25 90C46)", MRnumber = "3184756", MRreviewer = "Rafa{\l} K. Goebel", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1211.49533; http://docserver.carma.newcastle.edu.au/1465/", acknowledgement = ack-nhfb, fjournal = "Journal of Nonlinear and Convex Analysis. An International Journal", journal-URL = "http://www.ybook.co.jp/jnca.html", } @Article{Borwein:2014:DNS, author = "David Borwein and Jonathan Borwein", title = "Deriving New Sinc Results from Old", journal = j-AMER-MATH-MONTHLY, volume = "121", number = "8", pages = "700--705", month = oct, year = "2014", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.121.08.700", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "52A38 (33B10 42A99 51M25)", MRnumber = "3318479", MRreviewer = "Victor V. Pambuccian", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.jstor.org/stable/10.4169/amermathmont.121.issue-08; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib", URL = "http://docserver.carma.newcastle.edu.au/1502/; http://www.jstor.org/stable/10.4169/amer.math.monthly.121.08.700", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @InCollection{Borwein:2014:ECVa, author = "Jonathan M. Borwein", title = "Experimental Computation and Visual Theorems", crossref = "Hong:2014:MSI", pages = "1--8", year = "2014", DOI = "https://doi.org/10.1007/978-3-662-44199-2_1", MRclass = "46-02 (65-02 68U01)", MRnumber = "3334735", MRreviewer = "Matti Vuorinen", bibdate = "Sat Aug 13 13:54:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @InCollection{Borwein:2014:LAE, author = "Jonathan M. Borwein", title = "The Life of $ \pi $: From {Archimedes} to {ENIAC} and Beyond", crossref = "Sidoli:2014:ATB", pages = "531--561", year = "2014", DOI = "https://doi.org/10.1007/978-3-642-36736-6_24", MRclass = "01A20 (11Y60)", MRnumber = "3203895", MRreviewer = "Leo Corry", bibdate = "Sat Aug 13 15:11:22 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Extended and updated version of \cite{Borwein:2008:VPG}.", URL = "http://www.carma.newcastle.edu.au/~jb616/pi-2010.pdf", acknowledgement = ack-nhfb, } @Article{Borwein:2014:LKMa, author = "Jonathan M. Borwein and Yann Bugeaud and Michael Coons", title = "The legacy of {Kurt Mahler}", journal = j-EUR-MATH-SOC-NEWSL, volume = "91", pages = "19--23", month = mar, year = "2014", ISSN = "1027-488X", ISSN-L = "1027-488X", MRclass = "01A70", MRnumber = "3202400", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ems-ph.org/journals/journal.php?jrn=news", acknowledgement = ack-nhfb, fjournal = "European Mathematical Society. Newsletter", xxpages = "12--16", } @Article{Borwein:2014:LKMb, author = "Jonathan M. Borwein and Yann Bugeaud and Michael Coons", title = "The legacy of {Kurt Mahler}", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "41", number = "1", pages = "11--21", month = mar, year = "2014", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", MRclass = "01A70", MRnumber = "3221622", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.austms.org.au/Publ/Gazette/2014/Mar14/Mahler.pdf", ZMnumber = "1308.01014", acknowledgement = ack-nhfb, fjournal = "The Australian Mathematical Society. Gazette", journal-URL = "http://www.austms.org.au/gazette", } @InCollection{Borwein:2014:LPA, author = "Jonathan M. Borwein", title = "The Life of Pi: From {Archimedes} to {ENIAC} and Beyond", crossref = "Sidoli:2014:ATB", pages = "531--561", year = "2014", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", URL = "http://docserver.carma.newcastle.edu.au/265/", acknowledgement = ack-nhfb, } @Article{Borwein:2014:LSW, author = "David Borwein and Jonathan M. Borwein and Armin Straub", title = "On lattice sums and {Wigner} limits", journal = j-J-MATH-ANAL-APPL, volume = "414", number = "2", pages = "489--513", year = "2014", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2014.01.008", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "11D09 (11H06 11L03)", MRnumber = "3167976", MRreviewer = "Ross C. McPhedran", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1310.1423; http://docserver.carma.newcastle.edu.au/1509/; http://www.sciencedirect.com/science/article/pii/S0022247X14000134", abstract = "Wigner limits are given formally as the difference between a lattice sum, associated to a positive definite quadratic form, and a corresponding multiple integral. To define these limits, which arose in work of Wigner on the energy of static electron lattices, in a mathematically rigorous way one commonly truncates the lattice sum and the corresponding integral and takes the limit along expanding hypercubes or other regular geometric shapes. We generalize the known mathematically rigorous two- and three-dimensional results regarding Wigner limits, as laid down in [3], to integer lattices of arbitrary dimension. In doing so, we also resolve a problem posed in [6, Chapter 7]. For the sake of clarity, we begin by considering the simpler case of cubic lattice sums first, before treating the case of arbitrary quadratic forms. We also consider limits taken along expanding hyperballs with respect to general norms, and connect with classical topics such as Gauss's circle problem. Appendix A is included to recall certain properties of Epstein zeta functions that are either used in the paper or serve to provide perspective.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "Analytic continuation; Lattice sums; Wigner electron sums", } @Article{Borwein:2014:LTI, author = "Jonathan M. Borwein and Liangjin Yao", title = "{Legendre}-type integrands and convex integral functions", journal = j-J-CONVEX-ANAL, volume = "21", number = "1", pages = "261--288", year = "2014", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "46B20 (47H05 49K10)", MRnumber = "3235316", MRreviewer = "Jes{\'u}s Ferrer", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1208.5217; http://docserver.carma.newcastle.edu.au/1455/; http://www.heldermann.de/JCA/JCA21/JCA211/jca21015.htm", acknowledgement = ack-nhfb, fjournal = "Journal of Convex Analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:2014:MSS, author = "Jonathan Borwein and Phil Howlett and Julia Piantadosi", title = "Modelling and Simulation of Seasonal Rainfall Using the Principle of Maximum Entropy", journal = j-ENTROPY, volume = "16", number = "2", pages = "747--769", month = feb, year = "2014", CODEN = "ENTRFG", DOI = "https://doi.org/10.3390/e16020747", ISSN = "1099-4300", ISSN-L = "1099-4300", MRclass = "62P12 (62H05)", MRnumber = "3177597", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2014Entrp..16..747B; http://docserver.carma.newcastle.edu.au/1507/; http://www.mdpi.com/1099-4300/16/", acknowledgement = ack-nhfb, fjournal = "Entropy. An International and Interdisciplinary Journal of Entropy and Information Studies", } @Book{Borwein:2014:NFI, author = "Jonathan M. Borwein and Alfred Jacobus van der Poorten and Jeffrey Outlaw Shallit and Wadim Zudilin", title = "Neverending Fractions: an Introduction to Continued Fractions", volume = "23", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "x + 212", year = "2014", DOI = "https://doi.org/10.1017/CBO9780511902659", ISBN = "0-521-18649-8", ISBN-13 = "978-0-521-18649-0", LCCN = "QA295 .B667 2014", MRclass = "11A55 (11J70 40-01 40A15)", MRnumber = "3468515", bibdate = "Thu Jun 12 08:53:05 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; z3950.loc.gov:7090/Voyager", series = "Australian Mathematical Society lecture series", URL = "http://docserver.carma.newcastle.edu.au/1722/; http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511902659", acknowledgement = ack-nhfb, subject = "Continued fractions; Processes, Infinite; Fractions", tableofcontents = "Preface \\ 1. Some preliminaries from number theory \\ 2. Continued fractions, as they are \\ 3. Metric theory of continued fractions \\ 4. Quadratic irrationals through a magnifier \\ 5. Hyperelliptic curves and Somos sequences \\ 6. From folding to Fibonacci \\ 7. The integer part of $q \alpha + \beta$ \\ 8. The Erd{\H{o}}s--Moser equation \\ 9. Irregular continued fractions \\ Appendix. Selected continued fractions \\ Bibliography \\ Index", } @InProceedings{Borwein:2014:RMIa, author = "J. M. Borwein and M. K. Tam", booktitle = "{CIMPA school Generalized Nash Equilibrium Problems, Bilevel programming and MPEC New Delhi, India, December 2012}", title = "Reflection methods for inverse problems with applications to protein conformation determination", publisher = "????", address = "????", pages = "??--??", year = "2014", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Fri Aug 12 18:37:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1678/", acknowledgement = ack-nhfb, } @Article{Borwein:2014:RMIb, author = "J. M. Borwein and M. K. Tam", title = "Reflection methods for inverse problems with application to protein conformation determination", journal = "ArXiv e-prints", month = aug, year = "2014", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2014arXiv1408.4213B; http://docserver.carma.newcastle.edu.au/1678/", abstract = "The Douglas--Rachford reflection method is a general purpose algorithm useful for solving the feasibility problem of finding a point in the intersection of finitely many sets. In this chapter we demonstrate that applied to a specific problem, the method can benefit from heuristics specific to said problem which exploit its special structure. In particular, we focus on the problem of protein conformation determination formulated within the framework of matrix completion, as was considered in a recent paper of the present authors.", acknowledgement = ack-nhfb, eprint = "1408.4213", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Article{Borwein:2014:ROM, author = "J. M. Borwein and Brailey Sims", title = "Review of {{\booktitle{Origins of Mathematical Words: A Comprehensive Dictionary of Latin, Greek and Arabic Roots}} by Anthony lo Bello. The John Hopkins University Press, 2013}", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "41", number = "2", pages = "116--118", month = may, year = "2014", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", bibdate = "Tue Aug 16 09:16:30 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.austms.org.au/Publ/Gazette/2014/May14/BkRev.pdf", acknowledgement = ack-nhfb, ajournal = "Aust. Math. Soc. Gaz.", fjournal = "Australian Mathematical Society Gazette", journal-URL = "http://www.austms.org.au/gazette", } @Article{Borwein:2014:SLM, author = "David Borwein and Jonathan M. Borwein and Brailey Sims", title = "On the solution of linear mean recurrences", journal = j-AMER-MATH-MONTHLY, volume = "121", number = "6", pages = "486--498", month = jun # "\slash " # jul, year = "2014", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.121.06.486", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "39B12 (15B51 65Q30)", MRnumber = "3225456", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1505/; http://www.jstor.org/stable/10.4169", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:2014:SRC, author = "Jonathan M. Borwein and Liangjin Yao", title = "Some results on the convexity of the closure of the domain of a maximally monotone operator", journal = j-OPTIM-LETT, volume = "8", number = "1", pages = "237--246", year = "2014", DOI = "https://doi.org/10.1007/s11590-012-0564-7", ISSN = "1862-4472 (print), 1862-4480 (electronic)", ISSN-L = "1862-4472", MRclass = "47H05 (26B25 47B65)", MRnumber = "3152913", MRreviewer = "Aris Daniilidis", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1205.4482; http://docserver.carma.newcastle.edu.au/1373/", acknowledgement = ack-nhfb, ajournal = "Optim. Lett.", fjournal = "Optimization Letters", journal-URL = "http://link.springer.com/journal/11590", } @Article{Borwein:2014:STMa, author = "Jonathan M. Borwein and Liangjin Yao", title = "Sum theorems for maximally monotone operators of type ({FPV})", journal = j-J-AUSTRAL-MATH-SOC, volume = "97", number = "1", pages = "1--26", year = "2014", CODEN = "JAUMAX", DOI = "https://doi.org/10.1017/S1446788714000056", ISSN = "1446-7887 (print), 1446-8107 (electronic)", ISSN-L = "1446-7887", MRclass = "47H05 (49J53 90C25 90C48)", MRnumber = "3233391", MRreviewer = "Radu Ioan Bo{\c{t}}", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1305.6691; http://docserver.carma.newcastle.edu.au/1503/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9306990", acknowledgement = ack-nhfb, fjournal = "Journal of the Australian Mathematical Society", } @Article{James:2014:STR, author = "D. James and N. Wilkins-Diehr and V. Stodden and D. Colbry and C. Rosales and M. Fahey and J. Shi and R. F. Silva and K. Lee and R. Roskies and L. Loewe and S. Lindsey and R. Kooper and L. Barba and D. Bailey and J. Borwein and O. Corcho and E. Deelman and M. Dietze and B. Gilbert and J. Harkes and S. Keele and P. Kumar and J. Lee and E. Linke and R. Marciano and L. Marini and C. Mattman and D. Mattson and K. McHenry and R. McLay and S. Miguez and B. Minsker and M. Perez-Hernandez and D. Ryan and M. Rynge and I. Santana-Perez and M. Satyanarayanan and G. {St.Clair} and K. Webster and E. Hovig and D. S. Katz and S. Kay and G. Sandve and D. Skinner and G. Allen and J. Cazes and K. W. Cho and J. Fonseca and L. Hwang and L. Koesterke and P. Patel and L. Pouchard and E. Seidel and I. Suriarachchi", title = "Standing Together for Reproducibility in Large-Scale Computing: Report on {reproducibility@XSEDE}", journal = "ArXiv e-prints", month = dec, year = "2014", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2014arXiv1412.5557J", abstract = "This is the final report on reproducibility@XSEDE, a one-day workshop held in conjunction with XSEDE14, the annual conference of the Extreme Science and Engineering Discovery Environment (XSEDE). The workshop's discussion-oriented agenda focused on reproducibility in large-scale computational research. Two important themes capture the spirit of the workshop submissions and discussions: (1) organizational stakeholders, especially supercomputer centers, are in a unique position to promote, enable, and support reproducible research; and (2) individual researchers should conduct each experiment as though someone will replicate that experiment. Participants documented numerous issues, questions, technologies, practices, and potentially promising initiatives emerging from the discussion, but also highlighted four areas of particular interest to XSEDE: (1) documentation and training that promotes reproducible research; (2) system-level tools that provide build- and run-time information at the level of the individual job; (3) the need to model best practices in research collaborations involving XSEDE staff; and (4) continued work on gateways and related technologies. In addition, an intriguing question emerged from the day's interactions: would there be value in establishing an annual award for excellence in reproducible research?", acknowledgement = ack-nhfb, eprint = "1412.5557", keywords = "Computer Science - Distributed, Parallel, and Cluster Computing, 68N01, D.2.9", primaryclass = "cs.DC", } @Unpublished{Piantadosi:2014:MSS, author = "Julia Piantadosi and Phil Howlett and Jonathan Borwein", title = "Modelling and simulation of seasonal rainfall using checkerboard copulas of maximum entropy", year = "2014", bibdate = "Tue Aug 16 09:36:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted eMathematics and Computers in Simulation MATCOM, May 2014.", URL = "http://docserver.carma.newcastle.edu.au/1694/", acknowledgement = ack-nhfb, } @Article{AragonArtacho:2015:GBD, author = "F. J. {Arag{\'o}n Artacho} and J. M. Borwein and M. K. Tam", title = "Global Behavior of the {Douglas--Rachford} Method for a Nonconvex Feasibility Problem", journal = "ArXiv e-prints", month = jun, year = "2015", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2015arXiv150609026A; http://docserver.carma.newcastle.edu.au/1701/", abstract = "In recent times the Douglas--Rachford algorithm has been observed empirically to solve a variety of nonconvex feasibility problems including those of a combinatorial nature. For many of these problems current theory is not sufficient to explain this observed success and is mainly concerned with questions of local convergence. In this paper we analyze global behavior of the method for finding a point in the intersection of a half-space and a potentially non-convex set which is assumed to satisfy a well-quasi-ordering property or a property weaker than compactness. In particular, the special case in which the second set is finite is covered by our framework and provides a prototypical setting for combinatorial optimization problems.", acknowledgement = ack-nhfb, eprint = "1506.09026", keywords = "Mathematics - Optimization and Control, 90C26, 65K05", primaryclass = "math.OC", } @Article{Bailey:2015:CCI, author = "D. H. Bailey and J. M. Borwein", title = "{Crandall}'s computation of the incomplete {Gamma} function and the {Hurwitz} zeta function, with applications to {Dirichlet} {$L$}-series", journal = j-APPL-MATH-COMP, volume = "268", number = "??", pages = "462--477", day = "1", month = oct, year = "2015", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2015.06.048", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "33B30 (11M41 40A25)", MRnumber = "3399433", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput2015.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300315008292", abstract = "This paper extends tools developed by Crandall (2012) [16] to provide robust, high-precision methods for computation of the incomplete Gamma function and the Lerch transcendent. We then apply these to the corresponding computation of the Hurwitz zeta function and so of Dirichlet L-series and character polylogarithms.", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003/", keywords = "Character polylogarithms; Dirichlet L-series; Hurwitz zeta function; Incomplete gamma function; Lerch transcendent function; Polylogarithms", } @InCollection{Bailey:2015:COG, author = "D. H. Bailey and J. M. Borwein", title = "Computation as an ontological game changer: The impact of modern mathematical computation tools on the ontology of mathematics", crossref = "Davis:2015:MSS", pages = "25--67", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-21473-3_3", bibdate = "Fri Aug 12 18:52:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-319-21473-3_3", acknowledgement = ack-nhfb, } @Article{Bailey:2015:CTM, author = "D. H. Bailey and J. M. Borwein", title = "Computation and theory of {Mordell--Tornheim--Witten} sums {II}", journal = j-J-APPROX-THEORY, volume = "197", number = "??", pages = "115--140", year = "2015", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/j.jat.2014.10.004", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "11M41 (33B30 33F05 65D20)", MRnumber = "3351543", MRreviewer = "Mehdi Hassani", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Issue Dedicated to Dick Askey on the occasion of his 80th birthday.", URL = "http://docserver.carma.newcastle.edu.au/1494/; http://www.carma.newcastle.edu.au/jon/MTW2.pdf; http://www.sciencedirect.com/science/article/pii/S0021904514001841", abstract = "In Bailey et al. [8] the current authors, along with the late and much-missed Richard Crandall (1947--2012), considered generalized Mordell--Tornheim--Witten (MTW) zeta-function values along with their derivatives, and explored connections with multiple-zeta values (MZVs). This entailed use of symbolic integration, high precision numerical integration, and some interesting combinatorics and special-function theory. The original motivation was to represent objects such as Eulerian log-gamma integrals; and all such integrals were expressed in terms of a MTW basis. Herein, we extend the research envisaged in Bailey et al. [8] by analyzing the relations between a significantly more general class of MTW sums. This has required significantly more subtle scientific computation and concomitant special function theory.", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", } @InCollection{Bailey:2015:EAM, author = "David H. Bailey and Jonathan M. Borwein", title = "Experimental Applied Mathematics", crossref = "Higham:2015:PCA", pages = "925--933", year = "2015", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib", note = "Entry VIII.6.", URL = "http://docserver.carma.newcastle.edu.au/1460/", acknowledgement = ack-nhfb # " and " # ack-njh, } @InCollection{Bailey:2015:ECO, author = "David H. Bailey and Jonathan M. Borwein", booktitle = "Mathematics, substance and surmise", title = "Experimental computation as an ontological game changer: the impact of modern mathematical computation tools on the ontology of mathematics", publisher = pub-SV, address = pub-SV:adr, pages = "25--67", year = "2015", MRclass = "00A35 (03B35 68W30)", MRnumber = "3467267", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/ontology.pdf", acknowledgement = ack-nhfb, } @Article{Bailey:2015:ELG, author = "David H. Bailey and David Borwein and Jonathan M. Borwein", title = "On {Eulerian} log-gamma integrals and {Tornheim--Witten} zeta functions", journal = j-RAMANUJAN-J, volume = "36", number = "1--2", pages = "43--68", year = "2015", DOI = "https://doi.org/10.1007/s11139-012-9427-1", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11M35 (11M32 33B15 33F05)", MRnumber = "3296709", MRreviewer = "Renata Macaitien{\.e}", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1377/", ZMnumber = "06398825", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @Article{Bailey:2015:HPA, author = "David H. Bailey and Jonathan M. Borwein", title = "High-precision arithmetic in mathematical physics", journal = "Mathematics", volume = "3", number = "2", pages = "337--367", year = "2015", DOI = "https://doi.org/10.3390/math3020337", ISSN = "2227-7390", ISSN-L = "2227-7390", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.mdpi.com/2227-7390/3/2/337", acknowledgement = ack-nhfb, journal-URL = "http://www.mdpi.com/journal/mathematics", xxpublisher = "Multidisciplinary Digital Publishing Institute", } @TechReport{Bailey:2015:OTD, author = "David H. Bailey and Jonathan M. Borwein and Amir Salehipour and Marcos {L{\'o}pez de Prado} and Qiji Zhu", title = "Online tools for demonstration of backtest overfitting", institution = "Lawrence Berkeley National Laboratory and four others", address = "Berkeley, CA 94720, USA and others", pages = "13", day = "29", month = nov, year = "2015", MRclass = "60E, 62C, 91G10, 91G60, 91G70", bibdate = "Fri Sep 30 09:04:44 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://ssrn.com/abstract=2597421", abstract = "In mathematical finance, backtest overfitting relates to the usage of historical market data (a backtest) to develop an investment strategy, where the strategy profits from random patterns rather than variables signals. Backtest overfitting is now thought to be a primary reason why quantitative investment models and strategies that look good on paper often disappoint in practice.\par In this study we introduce two online tools, the Backtest Overfitting Demonstration Tool, or BODT for short, and the Tenure Maker Simulation Tool, or TMST, which illustrate the impact of backtest overfitting on investment models and strategies. We describe BODT and TSMT, the experiments they perform, together with technical details such as the evaluation metrics and parameters used.", acknowledgement = ack-nhfb, keywords = "Backtest overfitting, multiple testing, Sharpe Ratio, Deflated Sharpe Ratio, investment strategy", } @Article{Borwein:2015:CAGa, author = "J. M. Borwein and O. Giladi", title = "Convex analysis in groups and semigroups: a sampler", journal = "ArXiv e-prints", month = oct, year = "2015", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2015arXiv151004480B; http://docserver.carma.newcastle.edu.au/1693/", abstract = "We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups and semigroups, rather than only on vector spaces. Some examples and counter-examples are also discussed.", acknowledgement = ack-nhfb, eprint = "1510.04480", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Article{Borwein:2015:CDR, author = "Jonathan M. Borwein and Matthew K. Tam", title = "The cyclic {Douglas--Rachford} method for inconsistent feasibility problems", journal = j-J-NONLINEAR-CONVEX-ANAL, volume = "16", number = "4", pages = "573--584", month = "????", year = "2015", DOI = "", ISSN = "1345-4773 (print), 1880-5221 (electronic)", ISSN-L = "1345-4773", MRclass = "47J25 (47H09 47H10)", MRnumber = "3343161", MRreviewer = "Jean Mawhin", bibdate = "Fri Sep 30 09:55:02 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1496/; http://www.ybook.co.jp/online2/jncav16-4.html", abstract = "{We analyse the behaviour of the newly introduced cyclic Douglas Rachford algorithm for finding a point in the intersection of a finite number of closed convex sets. This work considers the case in which the target intersection set is possibly empty.}", acknowledgement = ack-nhfb, affiliation = "{Borwein, JM (Reprint Author), Univ Newcastle, CARMA Ctr, Callaghan, NSW 2308, Australia. Borwein, Jonathan M.; Tam, Matthew K., Univ Newcastle, CARMA Ctr, Callaghan, NSW 2308, Australia.}", fjournal = "Journal of Nonlinear and Convex Analysis. An International Journal", journal-URL = "http://www.ybook.co.jp/jnca.html", xxpages = "537--584", xxtitle = "The cyclic {Douglas--Rachford} feasibility method: behaviour on infeasible problems", } @Article{Borwein:2015:CRA, author = "J. M. Borwein and G. Li and M. K. Tam", title = "Convergence rate analysis for averaged fixed point iterations in the presence of H{\"o}lder regularity", journal = "ArXiv e-prints", month = oct, year = "2015", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2015arXiv151006823B; http://docserver.carma.newcastle.edu.au/1690/", abstract = "In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are achieved under a bounded H{\"o}lder regularity assumption which generalizes the well-known notion of bounded linear regularity. As an application of our results, we provide a convergence rate analysis for Krasnoselskii--Mann iterations, the cyclic projection algorithm, and the Douglas--Rachford feasibility algorithm along with some variants. In the important case in which the underlying sets are convex sets described by convex polynomials in a finite dimensional space, we show that the H{\"o}lder regularity properties are automatically satisfied, from which sublinear convergence follows.", acknowledgement = ack-nhfb, eprint = "1510.06823", keywords = "Mathematics - Optimization and Control", primaryclass = "math.OC", } @Unpublished{Borwein:2015:CU, author = "Jonathan M. Borwein and Brailey Sims", title = "Convexity in ultraproducts", month = aug, year = "2015", bibdate = "Tue Aug 16 09:40:17 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @InCollection{Borwein:2015:DCP, author = "Jonathan M. Borwein and D. Russell Luke", title = "Duality and Convex Programming", crossref = "Scherzer:2015:HMM", volume = "1", pages = "257--304", year = "2015", DOI = "https://doi.org/10.1007/978-1-4939-0790-8_7", bibdate = "Sat Aug 13 16:07:59 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1217/", acknowledgement = ack-nhfb, } @Article{Borwein:2015:DSU, author = "J. M. Borwein and A. Straub and C. Vignat", title = "Densities of short uniform random walks in higher dimensions", journal = "ArXiv e-prints", month = aug, year = "2015", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2015arXiv150804729B; http://docserver.carma.newcastle.edu.au/1699/", abstract = "We study arithmetic properties of short uniform random walks in arbitrary dimensions, with a focus on explicit (hypergeometric) evaluations of the moment functions and probability densities in the case of up to five steps. Somewhat to our surprise, we are able to provide complete extensions to arbitrary dimensions for most of the central results known in the two-dimensional case.", acknowledgement = ack-nhfb, eprint = "1508.04729", keywords = "Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory", primaryclass = "math.CA", } @InCollection{Borwein:2015:FM, author = "Jonathan M. Borwein", title = "The Future of Mathematics: 1965 to 2065", crossref = "Kennedy:2015:CAM", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "313--329", year = "2015", MRclass = "00A35", MRnumber = "3408151", bibdate = "Fri Aug 12 19:11:45 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1720/", acknowledgement = ack-nhfb, xxpages = "313--330", } @Article{Borwein:2015:LKM, author = "Jonathan M. Borwein and Yann Bugeaud and Michael Coons", title = "The legacy of {Kurt Mahler}", journal = j-NAMS, volume = "62", number = "5", pages = "526--531", month = may, year = "2015", CODEN = "AMNOAN", DOI = "https://doi.org/10.1090/noti1241", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "01A70, 01A75 (Collected or selected works), 11-03", MRnumber = "3328921", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", ZMnumber = "1338.01030", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Unpublished{Borwein:2015:MCR, author = "D. Borwein and J. M. Borwein and B. Sims", title = "Monotonicity of certain {Riemann} sums", year = "2015", bibdate = "Tue Aug 16 09:36:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted, Mathematics Magazine, January 2015.", URL = "http://docserver.carma.newcastle.edu.au/1692/", acknowledgement = ack-nhfb, } @Article{Borwein:2015:MMI, author = "Jonathan M. Borwein and Joydeep Dutta", title = "Maximal Monotone Inclusions and {Fitzpatrick} Functions", journal = j-J-OPT-THEORY-APPL, volume = "??", number = "??", pages = "1--28", year = "2015", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-015-0813-x", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue of JOTA on Nondifferentiable Optimization and Nonsmooth Analysis, dedicated to Vladimir Demyanov.", URL = "http://docserver.carma.newcastle.edu.au/1715/; http://link.springer.com/article/10.1007/s10957-015-0813-x", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:2015:NCR, author = "Jonathan M. Borwein and Brailey Sims and Matthew K. Tam", title = "Norm convergence of realistic projection and reflection methods", journal = j-OPTIMIZATION, volume = "64", number = "1", pages = "161--178", year = "2015", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331934.2014.947499", ISSN = "0233-1934, 0323-3898", ISSN-L = "0233-1934", MRclass = "47J25 (47H09 47H10 90C25 90C48)", MRnumber = "3293546", MRreviewer = "Patrick L. Combettes", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1493/", acknowledgement = ack-nhfb, fjournal = "Optimization. A Journal of Mathematical Programming and Operations Research", } @Article{Borwein:2015:NPD, author = "J. M. Borwein and O. Giladi", title = "Nearest points and delta convex functions in {Banach} spaces", journal = "ArXiv e-prints", month = oct, year = "2015", bibdate = "Fri Sep 30 09:28:29 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint of \cite{Borwein:2016:NPD}.", URL = "http://adsabs.harvard.edu/abs/2015arXiv151004471B", abstract = "Given a closed set $C$ in a Banach space $ (X, || \cdot ||)$, a point $ x \in X$ is said to have a nearest point in $C$ if there exists $ z \in C$ such that $ d_C(x) = || x - z || $, where $ d_C$ is the distance of $x$ from $C$. We shortly survey the problem of studying how large is the set of points in $X$ which have nearest points in $C$. We then discuss the topic of delta-convex functions and how it is related to finding nearest points.", acknowledgement = ack-nhfb, eprint = "1510.04471", keywords = "Mathematics - Functional Analysis", primaryclass = "math.FA", } @Article{Borwein:2015:PPA, author = "Jonathan M. Borwein and Scott T. Chapman", title = "{I} prefer Pi: Addenda", journal = j-AMER-MATH-MONTHLY, volume = "122", number = "8", pages = "800--800", month = oct, year = "2015", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.122.8.800", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11A05 (11Z05)", MRnumber = "3399115", bibdate = "Fri Aug 12 07:42:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See \cite{Borwein:2015:PPB}. The addenda correct formulas (4) and (12), references [34] and [74], and add a new reference.", URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.122.8.800", ZMnumber = "1328.01077", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:2015:PPB, author = "Jonathan M. Borwein and Scott T. Chapman", title = "{I} prefer Pi: a brief history and anthology of articles in the {{\booktitle{American Mathematical Monthly}}}", journal = j-AMER-MATH-MONTHLY, volume = "122", number = "3", pages = "195--216", month = mar, year = "2015", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.122.03.195", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "01A05 (11Z05)", MRnumber = "3327710", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See addenda \cite{Borwein:2015:PPA}.", URL = "http://docserver.carma.newcastle.edu.au/1615/; http://www.jstor.org/stable/10.4169", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Borwein:2015:RNP, author = "Jonathan M. Borwein and Armin Straub", title = "Relations for {Nielsen} polylogarithms", journal = j-J-APPROX-THEORY, volume = "193", number = "??", pages = "74--88", year = "2015", CODEN = "JAXTAZ", DOI = "https://doi.org/10.1016/j.jat.2013.07.003", ISSN = "0021-9045 (print), 1096-0430 (electronic)", ISSN-L = "0021-9045", MRclass = "33B30", MRnumber = "3324564", MRreviewer = "Junesang Choi", bibdate = "Thu Aug 11 10:27:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Issue Dedicated to Dick Askey on the occasion of his 80th birthday.", URL = "http://docserver.carma.newcastle.edu.au/1500/; http://www.sciencedirect.com/science/article/pii/S0021904513001202", abstract = "Polylogarithms appear in many diverse fields of mathematics. Herein, we investigate relations amongst the restricted class of Nielsen-type (essentially, height one) polylogarithms, both generic and at special arguments including the sixth roots of unity. Numerical computations suggest that the collected relations, partially motivated by a previous study of the authors on log-sine integrals, are complete except in the case when the argument is the fundamental sixth root of unity. For use in other applications, all our results are implemented and accessible for use in symbolic computation or to facilitate numeric computation. In particular, the relations are explicitly exhibited in the case of low weights.", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", journal-URL = "http://www.sciencedirect.com/science/journal/00219045", keywords = "Clausen functions; Log-sine integrals; Multiple polylogarithms; Multiple zeta values", } @InProceedings{Borwein:2015:RPM, author = "Jonathan M. Borwein and Liangjin Yao", title = "Recent progress on monotone operator theory", crossref = "Reich:2015:IPO", pages = "51--81", year = "2015", DOI = "https://doi.org/10.1090/conm/636/12728", MRclass = "47H05 (46B10 47-02)", MRnumber = "3155360", MRreviewer = "Behzad Djafari-Rouhani", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1457/", acknowledgement = ack-nhfb, } @Article{Borwein:2015:SRC, author = "Jonathan M. Borwein and Ohad Giladi", title = "Some remarks on convex analysis in topological groups", journal = "ArXiv e-prints", month = oct, year = "2015", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2015arXiv151004487B; http://docserver.carma.newcastle.edu.au/1697/", abstract = "We discuss some key results from convex analysis in the setting of topological groups and monoids. These include separation theorems, Krein--Milman type theorems, and minimax theorems.", acknowledgement = ack-nhfb, eprint = "1510.04487", keywords = "Mathematics - Optimization and Control, Mathematics - Functional Analysis", primaryclass = "math.OC", } @InCollection{Borwein:2015:WWH, author = "Jonathan M. Borwein", title = "Who We Are and How We Got That Way?", crossref = "Casazza:2015:M", pages = "140--156", year = "2015", bibdate = "Sat Aug 13 13:47:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/777/", acknowledgement = ack-nhfb, } @Article{Artacho:2016:GBD, author = "Francisco J. Arag{\'o}n Artacho and Jonathan M. Borwein and Matthew K. Tam", title = "Global behavior of the {Douglas--Rachford} method for a nonconvex feasibility problem", journal = j-J-GLOBAL-OPT, volume = "65", number = "2", pages = "309--327", year = "2016", CODEN = "JGOPEO", DOI = "https://doi.org/10.1007/s10898-015-0380-6", ISSN = "0925-5001 (print), 1573-2916 (electronic)", ISSN-L = "0925-5001", MRclass = "90C26 (65K05)", MRnumber = "3498569", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1701/", acknowledgement = ack-nhfb, fjournal = "Journal of Global Optimization. An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering", journal-URL = "http://link.springer.com/journal/10898", } @InCollection{Bailey:2016:AIS, author = "David H. Bailey and Jonathan M. Borwein", title = "Ancient {Indian} Square Roots: An Exercise in Forensic Paleo-Mathematics", crossref = "Selin:2016:EHS", pages = "305--310", year = "2016", DOI = "https://doi.org/10.1007/978-94-007-7747-7_10265", bibdate = "Fri Aug 12 18:58:22 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Redacted from \cite{Bailey:2012:AIS}.", URL = "http://docserver.carma.newcastle.edu.au/1385/", acknowledgement = ack-nhfb, } @Article{Bailey:2016:BOF, author = "David H. Bailey and Jonathan M. Borwein and Amir Salehipour and Marcos {L{\'o}pez de Prado} and Qiji Zhu", title = "Backtest Overfitting in Financial Markets", journal = "Automated Trader Magazine", volume = "39", number = "Q1", pages = "52--57", month = "????", year = "2016", bibdate = "Fri Aug 12 07:28:28 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1713/; http://www.automatedtrader.net/articles/strategies/155469/backtest-overfitting-in-financial-markets", acknowledgement = ack-nhfb, journal-URL = "http://www.automatedtrader.net/home.xhtm", } @Article{Bailey:2016:CDA, author = "David H. Bailey and Jonathan M. Borwein and Jason Kimberley and Watson Ladd", title = "Computer Discovery and Analysis of Large {Poisson} Polynomials", journal = j-EXP-MATH, volume = "??", number = "??", pages = "??--??", month = "", year = "2016", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2016.1180565", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", bibdate = "Fri Aug 12 07:21:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1689/; http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1180565", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "24 August 2016", xxtitle = "Discovery and Analysis of Large {Poisson} Polynomials Using the {MPFUN--MPFR} Arbitrary Precision Software", } @TechReport{Bailey:2016:CEEa, author = "D. H. Bailey and J. M. Borwein", title = "Computation and experimental evaluation of {Mordell--Tornheim--Witten} sum derivatives", institution = "University of California at Davis and Centre for Computer Assisted Research Mathematics and its Applications (CARMA), University of Newcastle", address = "Davis, CA, USA and Callaghan, NSW 2308, Australia", pages = "9", day = "16", month = aug, year = "2016", bibdate = "Tue Aug 16 09:37:31 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/omega-numerics.pdf", abstract = "In previous studies the present authors and others have studied in have studied Mordell-Tornheim-Witten sums and their connections with multiple-zeta values. In this note we describe the numerical computation of derivatives at zero of a specialization originating in [14] and studied further in [10, 15, 11], and the experimental evaluation of these numerical values in terms of well-known constants.", acknowledgement = ack-nhfb, } @Article{Bailey:2016:CEEb, author = "D. H. Bailey and J. M. Borwein", title = "Computation and experimental evaluation of {Mordell--Tornheim--Witten} sum derivatives", journal = j-EXP-MATH, volume = "??", number = "??", pages = "??--??", month = "????", year = "2016", CODEN = "????", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", bibdate = "Tue Aug 16 09:37:31 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/omega-numerics.pdf", abstract = "In previous studies the present authors and others have studied in have studied Mordell-Tornheim-Witten sums and their connections with multiple-zeta values. In this note we describe the numerical computation of derivatives at zero of a specialization originating in [14] and studied further in [10, 15, 11], and the experimental evaluation of these numerical values in terms of well-known constants.", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @InCollection{Bailey:2016:CPI, author = "David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick", title = "The computation of previously inaccessible digits of $ \pi $", crossref = "Bailey:2016:PNG", pages = "327--339", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-32377-0_20", bibdate = "Tue Mar 14 11:34:57 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/agm.bib", acknowledgement = ack-nhfb, } @Article{Bailey:2016:CSC, author = "D. H. Bailey and J. M. Borwein", title = "Computation and structure of character polylogarithms with applications to character {Mordell--Tornheim--Witten} sums", journal = j-MATH-COMPUT, volume = "85", number = "297", pages = "295--324", year = "2016", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/mcom/2974", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11L40 (33F05)", MRnumber = "3404451", MRreviewer = "Karin Halupczok", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.ams.org/mcom/2016-85-297; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://docserver.carma.newcastle.edu.au/1492/; http://www.ams.org/journals/mcom/2016-85-297/S0025-5718-2015-02974-3; http://www.ams.org/journals/mcom/2016-85-297/S0025-5718-2015-02974-3/S0025-5718-2015-02974-3.pdf; http://www.ams.org/mathscinet/search/author.html?authorName=Borwein%2C%20J.%20M.; http://www.ams.org/mathscinet/search/author.html?mrauthid=29355; http://www.carma.newcastle.edu.au/jon/MTWIII.pdf", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @InCollection{Bailey:2016:EMS, author = "D. H. Bailey and J. M. Borwein", booktitle = "7th European Mathematics Congress (EMC) on Mathematics in the Society of the Future", title = "Experimental Mathematics in the Society of the Future", publisher = "European Mathematical Society", address = "Z{\"u}rich, Switzerland", pages = "??--??", year = "2016", DOI = "https://doi.org/10.4171/164-1/2", ISBN = "", ISBN-13 = "", LCCN = "", MRclass = "00A35", MRnumber = "3497586", bibdate = "Fri Aug 12 18:35:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1675/", acknowledgement = ack-nhfb, } @InCollection{Bailey:2016:FRS, author = "David H. Bailey and Jonathan M. Borwein and Victoria Stodden", editor = "Harald Atmanspacher and Sabine Maasen", booktitle = "Reproducibility: Principles, Problems, Practices, and Prospects", title = "Facilitating Reproducibility in Scientific Computing: Principles and Practice", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "205--231", year = "2016", DOI = "https://doi.org/10.1002/9781118865064.ch9", ISBN = "1-118-86506-5", ISBN-13 = "978-1-118-86506-4", bibdate = "Thu Aug 11 11:01:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "This book was awarded the 2017 Prose Award (``Honorable Mention'') in the category ``Textbook / Best in Physical Sciences and Mathematics''; see \url{https://proseawards.com/winners/2017-award-winners/} and \url{http://experimentalmath.org/2017/02/reproducibility-principles-problems-practices-and-prospects/}.", abstract = "This chapter discusses the roots of the reproducibility problem in scientific computing, and summarizes some possible solutions that have been suggested in the community. Statistical overfitting can be thought of as an instance of ``selection bias'', wherein one presents the results of only those tests that support well one's hypothesis. The problem of statistical overfitting in computational science is perhaps best illustrated in the field of mathematical finance. Present-day researchers are not as fully aware of the potential pitfalls of performance reporting. In any event, various high-performance computing researchers have noted a resurrection of some of these questionable practices. Using high-precision arithmetic (higher than the standard IEEE 64-bit arithmetic) is often quite useful in ameliorating numerical difficulties and enhancing reproducibility. Very high-precision floating-point arithmetic is essential to obtain reproducible results in experimental mathematics and in related mathematical physics applications. The chapter also discusses reproducibility in symbolic computing.", acknowledgement = ack-nhfb, keywords = "high-performance computing; high-precision arithmetic; mathematical physics; numerical reproducibility; performance reporting; scientific computing; statistical overfitting; symbolic computing", } @Unpublished{Bailey:2016:HHI, author = "D. Bailey and J. Borwein and M. {L{\'o}pez de Prado} and A. Salehipour and Qiji Zhu", title = "How hard is it to avoid backtest overfitting?", year = "2016", bibdate = "Tue Aug 16 09:31:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted to Applied Mathematical Finance, July 2016.", acknowledgement = ack-nhfb, } @Article{Bailey:2016:RCS, author = "David H. Bailey and Jonathan M. Borwein and Richard P. Brent and Mohsen Reisi", title = "Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi", journal = j-EXP-MATH, volume = "22", number = "??", pages = "1--8", month = "", year = "2016", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2016.1163755", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", bibdate = "Fri Aug 12 07:22:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", note = "See \cite{Ganz:2014:DES}.", URL = "http://docserver.carma.newcastle.edu.au/1695/; http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1163755", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "24 August 2016", remark = "This paper reproduces work in \cite{Ganz:2014:DES}, and then shows that the report in that paper of nonrandomness of digits of $ \pi $ is an artifact of an unlucky choice of sample block sizes. Statistics from several different block sizes support the widely-held, but still unproven, belief that $ \pi $ is a normal number (where all digits occur with equal probability).", xxauthor = "David H. Bailey and Jonathan M. Borwein and Richard P. Brent and Mohsen Reisi Ardali", } @Article{Bailey:2016:SPD, author = "D. Bailey and J. Borwein and M. {L{\'o}pez de Prado}", title = "Stock portfolio design and backtest overfitting", journal = j-J-INVESTMENT-MANAGE, volume = "??", number = "??", pages = "??--??", month = "????", year = "2016", DOI = "", ISSN = "1545-9144 (print), 1545-9152 (electronic)", ISSN-L = "1545-9144", bibdate = "Fri Aug 12 07:17:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1684/; http://www.davidhbailey.com/dhbpapers/stockfund.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Investment Management", journal-URL = "https://www.joim.com/library-archives/", pagecount = "16", } @Misc{Bailey:2016:SPP, author = "David H. Bailey and Jonathan M. Borwein", title = "Sphere packing problem solved in $8$ and $ 24$ dimensions", howpublished = "Blog posting", day = "1", month = apr, year = "2016", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/kepler.bib", note = "See research papers \cite{Viazovska:2016:SPP,Cohn:2016:SPP}.", URL = "http://experimentalmath.info/blog/2016/04/sphere-packing-problem-solved-in-8-and-24-dimensions/", acknowledgement = ack-nhfb, } @InCollection{Borwein:2016:AGM, author = "J. M. Borwein and P. B. Borwein", title = "The arithmetic--geometric mean and fast computation of elementary functions (1984)", crossref = "Bailey:2016:PNG", publisher = pub-SV, address = pub-SV:adr, pages = "79--96", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-32377-0_4", bibdate = "Thu Aug 11 09:36:22 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://link.springer.com/chapter/10.1007/978-3-319-32377-0_4", acknowledgement = ack-nhfb, } @Article{Borwein:2016:AO, author = "J. M. Borwein", title = "Adventures with the {OEIS}", journal = j-RAMANUJAN-J, volume = "??", number = "??", pages = "??--??", month = "????", year = "2016", DOI = "", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", bibdate = "Fri Aug 12 07:16:30 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1686/", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", keywords = "Neil J. A. Sloane; OEIS (Online Encyclopedia of Integer Sequences)", } @Unpublished{Borwein:2016:BOM, author = "J. M. Borwein and K. Dilcher and H. Tomkins", title = "The behaviour at the origin of multiple {Witten} zeta functions", month = jul, year = "2016", bibdate = "Tue Aug 16 09:38:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "In preparation.", acknowledgement = ack-nhfb, } @Article{Borwein:2016:CAGa, author = "J. M. Borwein and O. Giladi", title = "Convex Analysis in Groups and Semigroups: a Sampler", journal = "Mathematical Programming Series B", volume = "??", number = "??", pages = "1--44", month = "", year = "2016", DOI = "https://doi.org/10.1007/s10107-016-1010-x", ISSN = "0025-5610 (print), 1436-4646 (electronic)", ISSN-L = "0025-5610", bibdate = "Fri Aug 12 07:24:09 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1693/; http://link.springer.com/article/10.1007/s10107-016-1010-x", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10107", onlinedate = "30 April 2016", } @Article{Borwein:2016:CFD, author = "Jonathan M. Borwein and Corwin W. Sinnamon", title = "A closed form for the density functions of random walks in odd dimensions", journal = j-BULL-AUSTRAL-MATH-SOC, volume = "93", number = "2", pages = "330--339", month = apr, year = "2016", CODEN = "ALNBAB", DOI = "https://doi.org/10.1017/S0004972715001112", ISSN = "0004-9727 (print), 1755-1633 (electronic)", ISSN-L = "0004-9727", MRclass = "60G50 (33C20)", MRnumber = "3480942", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1702/; http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10230818", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Australian Mathematical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ", } @Article{Borwein:2016:CLA, author = "Jonathan M. Borwein and Neil J. Calkin and Scott B. Lindstrom and Andrew Mattingly", title = "Continued Logarithms and Associated Continued Fractions", journal = j-EXP-MATH, volume = "26", number = "4", pages = "412--429", month = sep, year = "2016", DOI = "https://doi.org/10.1080/10586458.2016.1195307", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11J70 (11Y65, 11A55)", bibdate = "Sat Oct 21 17:29:42 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://docserver.carma.newcastle.edu.au/1687/", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", keywords = "continued fractions; continued logarithms; Gauss-Kuzmin distribution; Khintchine's constant; logarithmic Khintchine numbers", onlinedate = "16 September 2016", remark = "Presented as a colloquium at the University of Western Ontario, London, ON, Canada prior to publication.", } @Unpublished{Borwein:2016:CRA, author = "Jonathan M. Borwein and Gouyin Li and Matthew Tam", title = "Convergence rate analysis for averaged fixed point iterations in the presence of {H{\"o}lder} regularity", year = "2016", bibdate = "Tue Aug 16 09:34:36 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Revised SIAM Optimization, April 2016.", URL = "http://arxiv.org/abs/1510.06823; http://docserver.carma.newcastle.edu.au/1690/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:DFE, author = "J. M. Borwein and Karl Dilcher", title = "Derivatives and Fast Evaluation of the {Witten} Zeta Function", year = "2016", bibdate = "Tue Aug 16 09:34:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted to the Ramanujan Journal, April 2016.", acknowledgement = ack-nhfb, } @Article{Borwein:2016:DSU, author = "Jonathan M. Borwein and Armin Straub and Christophe Vignat", title = "Densities of short uniform random walks in higher dimensions", journal = j-J-MATH-ANAL-APPL, volume = "437", number = "1", pages = "668--707", month = "????", year = "2016", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2016.01.017", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "60G50 (33C20)", MRnumber = "3451989", bibdate = "Fri Aug 12 07:29:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1699/; http://www.sciencedirect.com/science/article/pii/S0022247X16000421", abstract = "We study arithmetic properties of short uniform random walks in arbitrary dimensions, with a focus on explicit (hypergeometric) evaluations of the moment functions and probability densities in the case of up to five steps. Somewhat to our surprise, we are able to provide complete extensions to arbitrary dimensions for most of the central results known in the two-dimensional case.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "Bessel integrals; Generalised hypergeometric functions; Narayana numbers; Short random walks", } @Unpublished{Borwein:2016:EAI, author = "Jonathan M. Borwein and Michael Rose", booktitle = "", title = "Expectations over attractors of iterated function systems", month = "????", year = "2016", bibdate = "Tue Aug 16 09:35:26 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted JMAA, June 2016.", URL = "http://docserver.carma.newcastle.edu.au/1680/", acknowledgement = ack-nhfb, } @InCollection{Borwein:2016:EAM, author = "J. M. Borwein and A. Straub", booktitle = "Mathematical Beauties 2016 Calendar", title = "Entry for {August} on {``Moments of random walks''}", publisher = pub-SV, address = pub-SV:adr, pages = "??--??", year = "2016", bibdate = "Fri Aug 12 18:36:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:EBD, author = "J. M. Borwein and Ohad Giladi", title = "Ergodic behaviour of a {Douglas--Rachford} operator away from the origin", year = "2016", bibdate = "Tue Aug 16 09:33:31 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted to the Journal of Global Optimization, May 2016.", acknowledgement = ack-nhfb, } @InCollection{Borwein:2016:EM, author = "Jonathan Borwein", title = "Experimental Mathematics", crossref = "Calude:2016:HFC", pages = "141--156", year = "2016", DOI = "https://doi.org/10.1142/9781783266449_0010", bibdate = "Fri Aug 12 18:39:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1527/", acknowledgement = ack-nhfb, } @Article{Borwein:2016:EMP, author = "Jonathan Borwein", title = "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof", journal = j-CMS-NOTES, volume = "48", number = "6", pages = "10--13", month = dec, year = "2016", ISSN = "0045-5164", ISSN-L = "0045-5164", bibdate = "Sat Jan 07 11:42:46 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Excerpts from a 2002 CMESG Plenary Lecture given by the author.", URL = "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Society Notes", journal-URL = "https://cms.math.ca/notes", remark = "Published posthumously.", } @Article{Borwein:2016:GCLa, author = "J. M. Borwein and K. G. Hare and J. G. Lynch", title = "Generalized Continued Logarithms and Related Continued Fractions", journal = "ArXiv e-prints", month = jun, year = "2016", bibdate = "Thu Aug 11 07:19:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://adsabs.harvard.edu/abs/2016arXiv160606984B", abstract = "We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary continued logarithms introduced by Borwein et. al., we focus on a new generalization to an arbitrary integer base $b$. We show that all of our so-called type III continued logarithms converge and all rational numbers have finite type III continued logarithms. As with simple continued fractions, we show that the continued logarithm terms, for almost every real number, follow a specific distribution. We also generalize Khinchine's constant from simple continued fractions to continued logarithms, and show that these logarithmic Khinchine constants have an elementary closed form. Finally, we show that simple continued fractions are the limiting case of our continued logarithms, and briefly consider how we could generalize past continued logarithms.", acknowledgement = ack-nhfb, eprint = "1606.06984", keywords = "Mathematics - Number Theory", primaryclass = "math.NT", } @Unpublished{Borwein:2016:GCLb, author = "J. M. Borwein and K. Hare and J. Lynch", title = "Generalized Continued Logarithms and Related Continued Fractions", year = "2016", bibdate = "Tue Aug 16 09:32:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Submitted to Math of Computation, June 2016.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:GDR, author = "J. Borwein and S. Lindstrom and A. Schneider and B. Sims and M. Skerritt", title = "Generalisation of the {Douglas--Rachford} method from simple spheres to ellipses and $p$-spheres", month = jun, year = "2016", bibdate = "Tue Aug 16 09:39:37 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Preprint.", acknowledgement = ack-nhfb, } @Article{Borwein:2016:LFOb, author = "J. M. Borwein and Scott Lindstrom", title = "The {Lambert} {$W$} Function and other Special Functions in Analysis and Optimization", journal = "Pure and Applied Functional Analysis", volume = "1", number = "3", pages = "??--??", month = "????", year = "2016", DOI = "", bibdate = "Fri Aug 12 07:19:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, remark = "TO DO: Find CODEN, ISSN, etc.??", } @InCollection{Borwein:2016:LPA, author = "Jonathan M. Borwein", title = "The Life of Pi: From {Archimedes} to {ENIAC} and Beyond", crossref = "Bailey:2016:PNG", pages = "443--474", year = "2016", bibdate = "Thu Aug 11 15:18:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/265/", acknowledgement = ack-nhfb, } @Article{Borwein:2016:MLO, author = "Jonathan M. Borwein and Scott B. Lindstrom", title = "Meetings with {Lambert} {$ {\cal W} $} and other special functions in optimization and analysis", journal = "Pure and Applied Functional Analysis", volume = "1", number = "3", pages = "361--396", year = "2016", ISSN = "2189-3756 (print), 2189-3764 (electronic)", MRnumber = "33E99 33F10", bibdate = "Fri Sep 30 09:40:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", ZMnumber = "06629180", acknowledgement = ack-nhfb, ajournal = "Pure Appl. Funct. Anal.", fjournal = "Pure and Applied Functional Analysis", language = "English", } @Article{Borwein:2016:MMI, author = "J. M. Borwein and J. Dutta", title = "Maximal monotone inclusions and {Fitzpatrick} functions", journal = j-J-OPT-THEORY-APPL, volume = "171", number = "3", pages = "757--784", year = "2016", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-015-0813-x", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "49J52 (90C30)", MRnumber = "3575644", bibdate = "Thu Feb 16 20:11:36 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Borwein:2016:NPD, author = "Jonathan M. Borwein and Ohad Giladi", title = "Nearest points and delta convex functions in {Banach} spaces", journal = j-BULL-AUSTRAL-MATH-SOC, volume = "93", number = "2", pages = "283--294", month = apr, year = "2016", CODEN = "ALNBAB", DOI = "https://doi.org/10.1017/S000497271500101X", ISSN = "0004-9727 (print), 1755-1633 (electronic)", ISSN-L = "0004-9727", MRclass = "46B20 (41A29)", MRnumber = "3480938", bibdate = "Wed Aug 10 11:09:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10230840", acknowledgement = ack-nhfb, fjournal = "Bulletin of the Australian Mathematical Society", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BAZ", } @InCollection{Borwein:2016:PEN, author = "J. M. Borwein and P. B. Borwein and K. Dilcher", title = "Pi, {Euler} numbers, and asymptotic expansions", crossref = "Bailey:2016:PNG", pages = "197--205", year = "2016", bibdate = "Thu Aug 11 15:18:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1583/", acknowledgement = ack-nhfb, } @InCollection{Borwein:2016:PPB, author = "Jonathan M. Borwein and Scott T. Chapman", title = "{I} prefer Pi: a brief history and anthology of articles in the {{\booktitle{American Mathematical Monthly}}}", crossref = "Bailey:2016:PNG", pages = "475--499", year = "2016", bibdate = "Thu Aug 11 15:18:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1615/", acknowledgement = ack-nhfb, } @InCollection{Borwein:2016:RME, author = "J. M. Borwein and P. B. Borwein and D. H. Bailey", title = "{Ramanujan}, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi", crossref = "Bailey:2016:PNG", pages = "175--195", year = "2016", bibdate = "Thu Aug 11 15:18:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1587/", acknowledgement = ack-nhfb, } @InCollection{Borwein:2016:RP, author = "Jonathan M. Borwein and Peter B. Borwein", title = "{Ramanujan} and {Pi}", crossref = "Bailey:2016:PNG", pages = "165--174", year = "2016", bibdate = "Thu Aug 11 15:18:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Reprint of \cite{Borwein:1988:RP}.", URL = "http://docserver.carma.newcastle.edu.au/1379/", acknowledgement = ack-nhfb, } @Article{Borwein:2016:SRC, author = "Jonathan M. Borwein and Ohad Giladi", title = "Some Remarks on Convex Analysis in Topological Groups", journal = j-J-CONVEX-ANAL, volume = "23", number = "2", pages = "313--332", month = "????", year = "2016", ISSN = "0944-6532 (print), 2363-6394 (electronic)", MRclass = "49J52 Nonsmooth analysis (other weak concepts of optimality), 22A10, 49J35, 49J27", MRnumber = "3509663", bibdate = "Sat Aug 13 09:28:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1697/; http://www.heldermann.de/JCA/JCA23/JCA232/jca23012.htm", ZMnumber = "06610407", acknowledgement = ack-nhfb, fjournal = "Journal of convex analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", } @Article{Borwein:2016:SRL, author = "Jonathan M. Borwein and Ohad Giladi", title = "Some Remarks on Locally Convex Groups", journal = j-J-CONVEX-ANAL, volume = "??", number = "??", pages = "??--??", month = "", year = "2016", DOI = "", ISSN = "0944-6532 (print), 2363-6394 (electronic)", bibdate = "Fri Aug 12 07:26:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Journal of convex analysis", journal-URL = "http://www.heldermann.de/JCA/jcacon.htm", remark = "Is this the same as \cite{Borwein:2016:SRC}??", } @Article{Borwein:2016:SWC, author = "J. M. Borwein", title = "A short walk can be beautiful", journal = j-J-HUMANIST-MATH, volume = "6", number = "1", pages = "5--28", month = "????", year = "2016", DOI = "", ISSN = "2159-8118", bibdate = "Fri Aug 12 07:32:51 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1712/", acknowledgement = ack-nhfb, fjournal = "Journal of Humanistic Mathematics", journal-URL = "http://scholarship.claremont.edu/jhm/", } @Article{Borwein:2016:VAL, author = "J. M. Borwein and Qiji (Jim) Zhu", title = "A variational approach to {Lagrange} multipliers", journal = j-J-OPT-THEORY-APPL, volume = "??", number = "??", pages = "1--30", month = "", year = "2016", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-015-0756-2", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C25; 90C46; 49N15", MRnumber = "3575643", bibdate = "Fri Aug 12 07:40:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue of JOTA on Nondifferentiable Optimization and Nonsmooth Analysis, dedicated to Vladimir Demyanov.", URL = "http://link.springer.com/article/10.1007/s10957-015-0756-2", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", onlinedate = "27 May 2015", } @Article{Borwein:2016:VCP, author = "Jonathan M. Borwein", title = "A very complicated proof of the minimax theorem", journal = "Minimax Theory and its Applications", volume = "1", number = "1", pages = "21--27", month = "????", year = "2016", ISSN = "2199-1413 (print), 2199-1421 (electronic)", MRclass = "91B50 (49N15 49N45 90C25)", MRnumber = "3477894", bibdate = "Fri Aug 12 07:35:14 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1499/; http://www.heldermann.de/MTA/MTA01/MTA011/mta01002.htm", abstract = "The justly celebrated von Neumann minimax theorem has many proofs. Here I reproduce the most complex one I am aware of. This provides a fine didactic example for many courses in convex analysis or functional analysis.", acknowledgement = ack-nhfb, fjournal = "Minimax Theory and Applications", journal-URL = "http://www.heldermann.de/MTA/mtacover.htm", } @Book{Monaghan:2016:TMI, author = "John Monaghan and Luc Trouche and Jonathan M. Borwein", title = "Tools and Mathematics: Instruments for Learning", volume = "110", publisher = pub-SV, address = pub-SV:adr, pages = "xxi + 483", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-02396-0", ISBN = "3-319-02395-0, 3-319-02396-9 (e-book)", ISBN-13 = "978-3-319-02395-3, 978-3-319-02396-0 (e-book)", ISSN = "0924-4921 (print), 2214-983X (electronic)", ISSN-L = "0924-4921", LCCN = "QA11.2 .M65 2016", bibdate = "Fri Sep 30 09:15:30 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Mathematics Education Library", URL = "http://docserver.carma.newcastle.edu.au/1717/; http://sfx.ethz.ch/sfx_locater?sid=ALEPH:EBI01\%26genre=book\%26isbn=9783319023960; http://swbplus.bsz-bw.de/bsz470387262cov.htm", abstract = "This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has four parts. The first part sets the scene with a reflection on doing a mathematical task with different tools, a mathematician's account of tool use in his work and historical considerations of tool use. The second part opens with a broad review of technology and intellectual trends, circa 1970, and continues with three case studies of approaches in mathematics education and the place of tools in these approaches. The third part considers issues related to mathematics instructions: curriculum, assessment and policy; the calculator debate; mathematics in the real world; and teachers' use of technology. The final part looks to the future and digital tools: task design; the importance of artefacts in gameplay; and new forms of activity via connectivity.", acknowledgement = ack-nhfb, subject = "Mathematics; Study and teaching; Education; Education.; Study and teaching.", tableofcontents = "Foreword \\ Preface \\ Contents \\ About the Authors \\ Part I: Setting the Scene \\ Chapter 1: Introduction to the Book \\ 1.1 Introduction \\ 1.2 The Purpose and Scope of This Book \\ 1.3 What Is a Tool? \\ 1.3.1 John's Attempt to Address This Question \\ 1.3.2 Luc's Attempt to Address This Question \\ 1.4 The Structure of the Book \\ References \\ Chapter 2: Doing Mathematics with Tools: One Task, Four Tools \\ 2.1 Introduction \\ 2.2 Bisecting an Angle with a Straight Edge and a Compass \\ 2.3 Bisecting an Angle with a Protractor \\ 2.4 Bisecting an Angle with a Dynamic Geometry System \\ 2.5 Bisecting an Angle with a Book \\ Chapter 3: The Life of Modern Homo Habilis Mathematicus: Experimental Computation and Visual Theorems \\ 3.1 Introduction \\ 3.1.1 Who I Am and How I Got That Way \\ 3.1.2 What Follows \\ 3.1.3 Some Early Conclusions \\ 3.2 Visual Theorems and Experimental Mathematics \\ 3.2.1 Visual Theorems \\ 3.2.2 On Picture-Writing \\ 3.2.2.1 Proofs Without Words \\ 3.3 Experimental Mathematics \\ 3.3.1 Experimental Mathodology \\ 3.3.2 When Science Becomes Technology \\ 3.3.2.1 Minimal Configurations \\ 3.3.3 Mathematical Discovery (or Invention) \\ 3.3.4 Digital Assistance \\ 3.3.5 The Twentieth Century's Top Ten Algorithms \\ 3.3.6 Secure Knowledge Without Proof \\ 3.3.7 Is `Free' Software Better? \\ 3.4 A Dozen or So Accessible Examples \\ 3.5 Simulation in Pure Mathematics \\ 3.5.1 Monte Carlo Simulation of pi \\ 3.5.2 Finding a Region of Convergence \\ 3.6 Case Studies I: Dynamic Geometry \\ 3.6.1 Case Study Ia: Iterative Reflections \\ 3.6.2 Case Study Ib: Protein Conformation \\ 3.7 Case Studies II: Numerical Analysis \\ 3.7.1 Case Study IIa: Trefethen's 100 Digit Challenge \\ 3.7.2 Case Study IIb: Algorithms for Polylogarithms \\ 3.8 Case Studies III: Randomish Walks \\ 3.8.1 Case Study IIIa: Short Walks \\ 3.8.1.1 The Three-Step Walk3.8.1.2 The Four-Step Walk \\ 3.8.2 Case Study IIIb: Number Walks \\ 3.8.3 Case Study IIIc: Normality of Stoneham Numbers \\ 3.9 Conclusion \\ References \\ Chapter 4: Tools, Human Development and Mathematics \\ 4.1 Introduction \\ 4.2 Tool Use and Phylogenesis \\ 4.3 Ancient Greece \\ 4.3.1 Discussion of This Proof \\ 4.3.2 Tools \\ 4.3.3 Oral and Written Mathematics \\ Communities of Practice \\ 4.4 Ancient Indian Square Roots \\ 4.5 Abaci \\ 4.6 Tools for Calculation in Europe Circa 1600 \\ 4.7 Discussion: Insights on Tool Use Over Time \\ References \\ Chapter 5: The Development of Mathematics Practices in the Mesopotamian Scribal Schools \\ 5.1 Introduction \\ 5.2 A Critical Moment \\ 5.3 The Computation Practices and Their Support in Scribal Schools \\ 5.4 Evidencing Computing Artefacts Complementing the Usage of Tablets and Memory \\ 5.5 Analysing the Algorithm for Calculating a Reciprocal, a Way for Entering the Spirit of Mesopotomian Computation \\ \\ 5.6 Conclusion and Discussion \\ References \\ Chapter 6: Discussions of Part I Chapters \\ 6.1 Introduction \\ 6.2 Interactions with John and Jon Follow-Up \\ 6.2.1 Writing and Mathematics, a Dual Invention?", } @Misc{Bailey:2017:CAA, author = "David H. Bailey and Jonathan M. Borwein and Andrew Mattingly and Glenn Wightwick", title = "Computation and analysis of arbitrary digits of {Pi} and other mathematical constants", howpublished = "Slides for Levi Conant Prize lecture at Worcester Polytechnic Institute, Worcester, MA 01609-2280 USA.", pages = "38", day = "15", month = sep, year = "2017", bibdate = "Wed Sep 13 14:57:54 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbtalks/dhb-conant.pdf", acknowledgement = ack-nhfb, } @Article{Bailey:2017:CDA, author = "David H. Bailey and Jonathan M. Borwein and Jason S. Kimberley and Watson Ladd", title = "Computer Discovery and Analysis of Large {Poisson} Polynomials", journal = j-EXP-MATH, volume = "26", number = "3", pages = "349--363", year = "2017", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2016.1180565", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y16 (11C08)", MRnumber = "3642112", bibdate = "Tue Jun 6 09:17:18 MDT 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/3", URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1180565", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "24 Aug 2016", } @InCollection{Bailey:2017:CMV, author = "David H. Bailey and Jonathan M. Borwein", booktitle = "Space, Time, and Frontiers of Human Understanding", title = "A computational mathematics view of space, time and complexity", crossref = "Wuppuluri:2017:STL", pages = "403--416", year = "2017", bibdate = "Sat Jan 21 18:28:46 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1696/", acknowledgement = ack-nhfb, } @TechReport{Bailey:2017:ERM, author = "David H. Bailey and Jonathan M. Borwein and Amir Salehipour and Marcos {Lopez de Prado}", title = "Evaluation and ranking of market forecasters", type = "Preprint", institution = "Department of Computer Science, University of California, Davis", address = "Davis, CA 95616, USA", pages = "22", day = "1", month = mar, year = "2017", bibdate = "Wed Mar 01 10:45:15 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/forecaster.pdf; https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2944853", acknowledgement = ack-nhfb, } @Article{Bailey:2017:PBO, author = "David H. Bailey and Jonathan M. Borwein and Marcos {Lopez de Prado} and Qiji Jim Zhu", title = "The Probability of Backtest Overfitting", journal = j-J-COMPUT-FINANCE, volume = "20", number = "4", pages = "39--69", month = apr, year = "2017", DOI = "https://doi.org/10.21314/JCF.2016.322", ISSN = "1460-1559 (print), 1755-2850 (electronic)", ISSN-L = "1460-1559", bibdate = "Mon Oct 09 17:33:29 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1710/; http://ssrn.com/abstract=2326253; https://www.risk.net/journal-of-computational-finance/2471206/the-probability-of-backtest-overfitting", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Finance", journal-URL = "https://www.risk.net/journal-of-computational-finance", } @Article{Bailey:2017:RCS, author = "David H. Bailey and Jonathan M. Borwein and Richard P. Brent and Mohsen Reisi", title = "Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi", journal = j-EXP-MATH, volume = "26", number = "3", pages = "298--305", year = "2017", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2016.1163755", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11K16 (03D32 11K45 62F03 62F35 62P99)", MRnumber = "3642107", bibdate = "Tue Jun 6 09:17:18 MDT 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/3", note = "See reply \cite{Ganz:2017:RRC}.", URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1163755", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "24 Aug 2016", } @Article{Borwein:2017:CLA, author = "Jonathan M. Borwein and Neil J. Calkin and Scott B. Lindstrom and Andrew Mattingly", title = "Continued Logarithms and Associated Continued Fractions", journal = j-EXP-MATH, volume = "26", number = "4", pages = "412--429", year = "2017", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2016.1195307", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", bibdate = "Fri Aug 18 08:39:18 MDT 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/4", URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1195307", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "16 Sep 2016", } @Article{Borwein:2017:CRA, author = "Jonathan M. Borwein and Guoyin Li and Matthew K. Tam", title = "Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems", journal = j-SIAM-J-OPT, volume = "27", number = "1", pages = "1--33", month = jan, year = "2017", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/15m1045223", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "41A25 (41A50 90C25 90C31)", MRnumber = "3592082", bibdate = "Mon Jan 16 11:46:35 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/siamjopt.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", onlinedate = "5 January 2017", } @Article{Borwein:2017:GCL, author = "Jonathan M. Borwein and Kevin G. Hare and Jason G. Lynch", title = "Generalized continued logarithms and related continued fractions", journal = j-J-INTEGER-SEQ, volume = "20", number = "5", pages = "Art. 17.5.7, 51", year = "2017", ISSN = "1530-7638", MRclass = "11J70 (11K50)", MRnumber = "3669604", bibdate = "Fri Oct 13 15:06:06 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, ajournal = "J. Integer Seq.", fjournal = "Journal of Integer Sequences", journal-URL = "https://cs.uwaterloo.ca/journals/JIS/", } @Article{Borwein:2017:GEC, author = "Jonathan M. Borwein", title = "Generalisations, Examples, and Counter-examples in Analysis and Optimisation: In honour of {Michel Th{\'e}ra} at 70", journal = j-SET-VALUED-VAR-ANAL, volume = "25", number = "3", pages = "467--479", month = sep, year = "2017", DOI = "https://doi.org/10.1007/s11228-016-0379-2", ISSN = "1877-0533 (print), 1877-0541 (electronic)", ISSN-L = "1877-0533", MRclass = "47H09 (49J52 90C25)", MRnumber = "3694873", bibdate = "Sat Aug 13 09:46:09 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special issue for Michel Th{\'e}ra at 70.", URL = "http://docserver.carma.newcastle.edu.au/1688/; http://link.springer.com/article/10.1007/s11228-016-0379-2", acknowledgement = ack-nhfb, fjournal = "Set-Valued and Variational Analysis", journal-URL = "http://link.springer.com/journal/11228", onlinedate = "5 August 2016", } %%% ==================================================================== %%% Part 2 (of 4): Blog publications by Jonathan M. Borwein %%% %%% NB: The CV.pdf file supplies links to author pages, but not to %%% individual articles; URL values have been adjusted to point to %%% articles where possible. Also, article dates are often off by one, %%% and some have been changed to match the article Web sites; however, %%% that could instead be due to Australian time versus US time, with %%% the Web site displaying times in EST. %%% %%% The blogs in The Conversation have all been supplied with URLs, %%% except for entry Bailey:2014:WSP, whose title cannot be found at %%% the publisher site. %%% %%% The blogs in The Huffington Post have all been supplied with URLs, %%% except for entry Bailey:2012:CPG, whose title cannot be found at %%% the publisher site. %%% %%% The Web sites %%% %%% http://www.huffingtonpost.com/jonathan-m-borwein/ %%% http://www.huffingtonpost.com/author/david-h-bailey %%% https://theconversation.edu.au/profiles/jon-borwein-101 %%% %%% may provide a collection of links to author publications. %%% %%% Bibliography entries, sorted by ascending year, month, day %%% with ``bibsort --byday'' (the opposite of their order in %%% CV.pdf): @Article{Borwein:2011:IAP, author = "Jonathan M. Borwein", title = "The infinite appeal of Pi", journal = "ABC Science", volume = "??", number = "??", pages = "??", day = "10", month = mar, year = "2011", bibdate = "Tue Aug 16 07:13:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.abc.net.au/science/articles/2011/03/10/3158045.htm", acknowledgement = ack-nhfb, } @Article{Borwein:2011:PDNa, author = "Jonathan Borwein", title = "Are Pi's Days Numbered?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "4", month = may, year = "2011", bibdate = "Tue Aug 16 07:57:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/are-pis-days-numbered-39", acknowledgement = ack-nhfb, keywords = "$\pi$, $\tau$", } @Article{Borwein:2011:IBC, author = "Jonathan Borwein", title = "If {I} had a blank cheque {I}'d \ldots{} turn {IBM Watson} into a maths genius", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "8", month = jul, year = "2011", bibdate = "Tue Aug 16 07:11:24 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/if-i-had-a-blank-cheque-id-turn-ibms-watson-into-a-maths-genius-1213", acknowledgement = ack-nhfb, } @Article{Borwein:2011:WMP, author = "J. M. Borwein", title = "Why are mathematics papers so dull?", journal = j-SIAM-NEWS, volume = "44", number = "6", pages = "7--7", day = "15", month = jul, year = "2011", ISSN = "0036-1437", ISSN-L = "0036-1437", bibdate = "Tue Aug 16 07:11:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1450/; http://www.siam.org/news/news.php?id=1903", acknowledgement = ack-nhfb, fjournal = "SIAM News", journal-URL = "http://www.siam.org/news/", remark = "The letter calls the improvement of math papers through color, graphics, and more careful typesetting.", } @Article{Bailey:2011:MNC, author = "David Bailey and Jonathan Borwein", title = "Magic numbers: counting the blessings of decimal notation", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "23", month = aug, year = "2011", bibdate = "Tue Aug 16 07:10:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/magic-numbers-the-beauty-of-decimal-notation-2538", acknowledgement = ack-nhfb, } @Article{Bailey:2011:WED, author = "David Bailey and Jonathan Borwein", title = "Where is everybody? {Doing} the maths on extraterrestrial life", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "15", month = sep, year = "2011", bibdate = "Tue Aug 16 07:09:50 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/where-is-everybody-doing-the-maths-on-extraterrestrial-life-3390", acknowledgement = ack-nhfb, keywords = "Fermi's Paradox", } @Article{Bailey:2011:HFE, author = "David Bailey and Jonathan Borwein", title = "How far away is everybody? {Climbing} the cosmic ladder", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "24", month = oct, year = "2011", bibdate = "Tue Aug 16 07:09:23 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/how-far-away-is-everybody-climbing-the-cosmic-distance-ladder-3548", acknowledgement = ack-nhfb, } @Article{Bailey:2011:WTD, author = "David Bailey and Jonathan Borwein", title = "When things don't add up: statistics, maths and scientific fraud", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "13", month = nov, year = "2011", bibdate = "Tue Aug 16 07:08:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Part of series on The State Of Science.", URL = "https://theconversation.com/when-things-dont-add-up-statistics-maths-and-scientific-fraud-4185", acknowledgement = ack-nhfb, } @Article{Bailey:2011:DDW, author = "David Bailey and Jonathan Borwein", title = "Danger of death: are we programmed to miscalculate risk?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "8", month = dec, year = "2011", bibdate = "Tue Aug 16 07:05:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/danger-of-death-are-we-programmed-to-miscalculate-risk-4598", acknowledgement = ack-nhfb, } @Article{Borwein:2011:CCN, author = "J. M. Borwein", title = "Chiropractic: crackers now, and crackers way back when", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "23", month = dec, year = "2011", bibdate = "Tue Aug 16 07:05:06 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/chiropractic-crackers-now-and-crackers-way-back-when-4836", acknowledgement = ack-nhfb, remark = "Debunks chiropractic treatment.", } @Article{Bailey:2012:MLF, author = "David Bailey and Jonathan Borwein", title = "{Moore's Law} and the future of science and mathematics", journal = "Math Drudge: Two mathematicians contemplate the cosmos", volume = "??", number = "??", pages = "??", day = "2", month = jan, year = "2012", bibdate = "Tue Aug 16 08:15:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Condensed and revised version appears in \cite{Bailey:2012:MMD}.", URL = "http://experimentalmath.info/blog/2012/01/moores-law-and-the-future-of-science-and-mathematics/", acknowledgement = ack-nhfb, } @Article{Bailey:2012:MMD, author = "David Bailey and Jonathan Borwein", title = "Make mine a double: {Moore's Law} and the future of mathematics", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "28", month = jan, year = "2012", bibdate = "Tue Aug 16 07:04:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Condensed and revised version of \cite{Bailey:2012:MLF}.", URL = "https://theconversation.com/make-mine-a-double-moores-law-and-the-future-of-mathematics-4957", acknowledgement = ack-nhfb, } @Article{Bailey:2012:HBU, author = "David Bailey and Jonathan Borwein", title = "Hot and bothered: the uncertain mathematics of global warming", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "17", month = feb, year = "2012", bibdate = "Tue Aug 16 07:03:58 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/hot-and-bothered-the-uncertain-mathematics-of-global-warming-5369", acknowledgement = ack-nhfb, } @Article{Bailey:2012:DDW, author = "David Bailey and Jonathan Borwein", title = "Doctor, doctor: why so few scientists in politics?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "29", month = feb, year = "2012", bibdate = "Tue Aug 16 07:03:18 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/doctor-doctor-why-so-few-scientists-in-top-government-jobs-5561", acknowledgement = ack-nhfb, } @Article{Borwein:2012:PDAa, author = "Jonathan M. Borwein", title = "Pi Day in {America}", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "15", month = mar, year = "2012", bibdate = "Tue Aug 16 07:02:45 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/jonathan-m-borwein/", acknowledgement = ack-nhfb, } @Article{Bailey:2012:HOE, author = "David Bailey and Jonathan Borwein", title = "How old is {Earth}? {A} word to sceptics on the dating game", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "22", month = mar, year = "2012", bibdate = "Tue Aug 16 07:02:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/how-old-is-earth-a-word-to-sceptics-on-the-dating-game-5971", acknowledgement = ack-nhfb, } @Article{Bailey:2012:CPG, author = "David A. Bailey and Jonathan M. Borwein", title = "Are computers playing games with us?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "2", month = apr, year = "2012", bibdate = "Tue Aug 16 07:01:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Borwein:2012:YTN, author = "Jonathan M. Borwein and David H. Bailey", title = "Yes, there's a numeracy crisis --- so what's the solution?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "12", month = apr, year = "2012", bibdate = "Tue Aug 16 08:09:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/yes-theres-a-numeracy-crisis-so-whats-the-solution-6386", acknowledgement = ack-nhfb, } @Article{Bailey:2012:PCC, author = "David Bailey and Jonathan Borwein", title = "Person or computer: could you pass the {Turing Test}?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "3", month = may, year = "2012", bibdate = "Tue Aug 16 07:00:58 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib", URL = "https://theconversation.com/person-or-computer-could-you-pass-the-turing-test-6769", acknowledgement = ack-nhfb, } @Article{Bailey:2012:SOA, author = "David A. Bailey and Jonathan M. Borwein", title = "{{\booktitle{2001: A Space Odyssey}}}: Art versus 2012 reality", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "9", month = may, year = "2012", bibdate = "Tue Aug 16 07:00:35 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/2001-a-space-odyssey-art-_b_1501750.html", acknowledgement = ack-nhfb, } @Article{Bailey:2012:MSF, author = "David H. Bailey and Jonathan M. Borwein", title = "Is modern science `forever tentative' and `socially constructed?' {No} Way!", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "7", month = jun, year = "2012", bibdate = "Tue Aug 16 07:00:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/jonathan-m-borwein/", acknowledgement = ack-nhfb, } @Article{Bailey:2012:HSG, author = "David Bailey and Jonathan Borwein", title = "How to sell green energy in an era of abundant gas and oil", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "15", month = jun, year = "2012", bibdate = "Tue Aug 16 06:59:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/how-to-sell-green-energy-in-an-era-of-abundant-gas-and-oil-7668", acknowledgement = ack-nhfb, } @Article{Bailey:2012:BNM, author = "David Bailey and Jonathan Borwein", title = "Bad numbers make for killer headlines -- and dodgy news", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "26", month = jun, year = "2012", bibdate = "Tue Aug 16 06:59:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/bad-numbers-make-for-killer-headlines-and-dodgy-news-7894", acknowledgement = ack-nhfb, remark = "Comments on overly-precise numbers.", } @Article{Bailey:2012:SMF, author = "David Bailey and Jonathan Borwein", title = "School maths is failing children --- a {US} and {Australian} perspective", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "25", month = jul, year = "2012", bibdate = "Tue Aug 16 06:58:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/school-maths-is-failing-children-a-us-and-australian-perspective-8397", acknowledgement = ack-nhfb, } @Article{Bailey:2012:AEC, author = "David H. Bailey and Jonathan M. Borwein", title = "Algebra is essential in a 21st century economy", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "1", month = aug, year = "2012", bibdate = "Tue Aug 16 06:56:45 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/jonathan-m-borwein/", acknowledgement = ack-nhfb, } @Article{Bailey:2012:NNU, author = "David H. Bailey and Jonathan M. Borwein", title = "Numerical nonsense in the {U.S.} presidential campaign", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "18", month = aug, year = "2012", bibdate = "Tue Aug 16 06:56:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/jonathan-m-borwein/", acknowledgement = ack-nhfb, } @Article{Bailey:2012:HSM, author = "David Bailey and Jonathan Borwein", title = "How to stop the media reporting science fiction as fact", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "23", month = oct, year = "2012", bibdate = "Tue Aug 16 06:54:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/how-to-stop-the-media-reporting-science-fiction-as-fact-10252", acknowledgement = ack-nhfb, } @Article{Bailey:2012:SMA, author = "David Bailey and Jonathan Borwein", title = "Smart meters are about as dangerous as \ldots{}", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "23", month = oct, year = "2012", bibdate = "Tue Aug 16 06:55:22 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/smart-meters-are-about-as-dangerous-as-9413", acknowledgement = ack-nhfb, } @Article{Bailey:2012:NCM, author = "David Bailey and Jonathan Borwein", title = "Newly calculated: maths anxiety triggers pain in the brain", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "2", month = nov, year = "2012", bibdate = "Tue Aug 16 06:54:20 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/newly-calculated-maths-anxiety-triggers-pain-in-the-brain-10453", acknowledgement = ack-nhfb, } @Article{Borwein:2012:EWC, author = "Jonathan Borwein and Michael Rose", title = "Explainer: what is Chaos Theory?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "19", month = nov, year = "2012", bibdate = "Tue Aug 16 06:53:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/explainer-what-is-chaos-theory-10620", acknowledgement = ack-nhfb, } @Article{Bailey:2012:JCD, author = "David Bailey and Jonathan Borwein", title = "Just out of {Curiosity}, did life on {Earth} come from {Mars}?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "3", month = dec, year = "2012", bibdate = "Tue Aug 16 06:52:24 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/just-out-of-curiosity-did-life-on-earth-come-from-mars-11109", acknowledgement = ack-nhfb, } @Article{Bailey:2012:WEW, author = "David H. Bailey and Jonathan M. Borwein", title = "What on earth were they thinking? {U.S.} politicians on the age of the planet", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "4", month = dec, year = "2012", bibdate = "Tue Aug 16 06:53:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/jonathan-m-borwein/", acknowledgement = ack-nhfb, } @Article{Bailey:2012:BCC, author = "David H. Bailey and Jonathan M. Borwein", title = "Is Believing in Climate Change ``An Insult to {God}''?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "7", month = dec, year = "2012", bibdate = "Tue Aug 16 06:51:48 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/climate-change-religion_b_2254016.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:SDO, author = "David H. Bailey and Jonathan M. Borwein", title = "Set the default to ``open'': Reproducible science in the computer age", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "7", month = feb, year = "2013", bibdate = "Tue Aug 16 06:51:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/set-the-default-to-open-r_b_2635850.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:DYS, author = "David H. Bailey and Jonathan M. Borwein", title = "Danger, you're at serious risk of \ldots{} no, sorry, it's all relative", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "15", month = feb, year = "2013", bibdate = "Tue Aug 16 06:50:27 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/danger-youre-at-serious-risk-of-no-sorry-its-all-relative-12218", acknowledgement = ack-nhfb, } @Article{Bailey:2013:SMD, author = "David H. Bailey and Jonathan M. Borwein", title = "Smart Meters, Dumb Science", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "28", month = feb, year = "2013", bibdate = "Tue Aug 16 06:49:42 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/smart-meters-dumb-science_b_2768405.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:HHL, author = "David H. Bailey and Jonathan M. Borwein", title = "A {Higgs}, the {Higgs} \ldots{} is maths at the root of reality?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "21", month = mar, year = "2013", bibdate = "Mon Aug 15 18:35:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/a-higgs-the-higgs-is-maths-at-the-root-of-reality-12943", acknowledgement = ack-nhfb, } @Article{Bailey:2013:DPN, author = "David H. Bailey and Jonathan M. Borwein", title = "Are the digits of Pi random?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "16", month = apr, year = "2013", bibdate = "Mon Aug 15 18:34:33 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/are-the-digits-of-pi-random_b_3085725.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:WWW, author = "David H. Bailey and Jonathan M. Borwein", title = "Why {E. O. Wilson} is wrong", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "17", month = apr, year = "2013", bibdate = "Mon Aug 15 18:33:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/why-eo-wilson-is-wrong_b_3103122.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:RRE, author = "David H. Bailey and Jonathan M. Borwein", title = "The {Reinhart--Rogoff} error or how not to {Excel} at economics", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "23", month = apr, year = "2013", bibdate = "Mon Aug 15 18:33:26 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.edu.au/profiles/jon-borwein-101", acknowledgement = ack-nhfb, } @Article{Bailey:2013:SFS, author = "David H. Bailey and Jonathan M. Borwein", title = "Scientific fraud, sloppy science yes, they happen", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "6", month = may, year = "2013", bibdate = "Mon Aug 15 18:32:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/scientific-fraud-sloppy-science-yes-they-happen-13948", acknowledgement = ack-nhfb, } @Article{Bailey:2013:CLF, author = "David H. Bailey and Jonathan M. Borwein", title = "The Colorful Life of the {Four-Color Theorem}: A Tribute to {Kenneth Appel}", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "8", month = may, year = "2013", bibdate = "Mon Aug 15 18:32:20 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/kenneth-appel-four-color-theorem_b_3233775.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:SSF, author = "David H. Bailey and Jonathan M. Borwein", title = "Stupid science funding decisions? {Australia}'s not the only dunce", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "12", month = may, year = "2013", bibdate = "Mon Aug 15 18:31:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/stupid-science-funding-decisions-australias-not-the-only-dunce-14087", acknowledgement = ack-nhfb, } @Article{Bailey:2013:HNH, author = "David H. Bailey and Jonathan M. Borwein", title = "Hype Now, Hide Later: No Way to Do Scientific Research", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "28", month = may, year = "2013", bibdate = "Mon Aug 15 18:31:20 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/scientific-research_b_3340682.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:YWF, author = "David H. Bailey and Jonathan M. Borwein", title = "You wait forever for number theory results \ldots{} then two come along at once", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "3", month = jun, year = "2013", bibdate = "Mon Aug 15 18:30:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.edu.au/profiles/jon-borwein-101", acknowledgement = ack-nhfb, } @Article{Bailey:2013:GGA, author = "David H. Bailey and Jonathan M. Borwein", title = "Glum and glummer: {Australia} vs {US} on science literacy results", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "19", month = jul, year = "2013", bibdate = "Mon Aug 15 18:30:18 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/glum-and-glummer-australia-vs-us-on-science-literacy-results-16222", acknowledgement = ack-nhfb, } @Article{Bailey:2013:PMT, author = "David H. Bailey and Jonathan M. Borwein", title = "Please mess with {Texas}: {Texas} textbook fiasco threatens {US} science", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "18", month = sep, year = "2013", bibdate = "Mon Aug 15 18:29:37 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/texas-textbooks-science_b_3935203.html", acknowledgement = ack-nhfb, } @Article{Bailey:2013:WSB, author = "David H. Bailey and Jonathan M. Borwein", title = "When Skepticism Becomes Denial: The Unholy Alliance Between Science Denial Movements", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "5", month = nov, year = "2013", bibdate = "Mon Aug 15 18:29:10 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/when-skepticism-becomes-d_b_4215286.html", acknowledgement = ack-nhfb, } @Article{Borwein:2013:ANF, author = "J. M. Borwein", title = "{Australia} needs fundamental research to build a great country", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "11", month = nov, year = "2013", bibdate = "Mon Aug 15 18:28:36 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/australia-needs-fundamental-research-to-build-a-great-country-20031", acknowledgement = ack-nhfb, } @Article{Borwein:2013:DLP, author = "J. M. Borwein", title = "Don't let politics drive research goals", journal = "Newcastle Herald", volume = "", number = "", pages = "11--11", day = "25", month = nov, year = "2013", bibdate = "Tue Aug 23 09:35:55 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.theherald.com.au/story/1931600/opinion; http://www.theherald.com.au/story/1931600/opinion-dont-let-politics-drive-research-goals/; https://theconversation.edu.au/profiles/jon-borwein-101", acknowledgement = ack-nhfb, } @Article{Borwein:2013:TTS, author = "J. M. Borwein and Michael Rose", title = "Tipsy tottering, sunlight and the smell of coffee: its all random", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "19", month = dec, year = "2013", bibdate = "Mon Aug 15 18:27:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/tipsy-tottering-sunlight-and-the-smell-of-coffee-its-all-random-21598", acknowledgement = ack-nhfb, keywords = "random walks", } @Article{Bailey:2014:WMB, author = "David H. Bailey and Jonathan M. Borwein", title = "Why mathematics is beautiful and why that matters", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "18", month = feb, year = "2014", bibdate = "Mon Aug 15 18:26:21 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/why-mathematics-matters_b_4794617.html", acknowledgement = ack-nhfb, } @Article{Bailey:2014:WCG, author = "David H. Bailey and Jonathan M. Borwein", title = "We still can't get enough pi \ldots{} but why?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "13", month = mar, year = "2014", bibdate = "Tue Aug 16 08:12:32 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/we-still-cant-get-enough-pi-but-why-23960", acknowledgement = ack-nhfb, } @Article{Bailey:2014:PD, author = "David H. Bailey and Jonathan M. Borwein", title = "Pi day 3.14 (14)", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "15", month = mar, year = "2014", bibdate = "Mon Aug 15 18:25:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/pi-day-314-14_b_4851011.html", acknowledgement = ack-nhfb, } @Article{Bailey:2014:WSP, author = "David H. Bailey and Jonathan M. Borwein", title = "When science and philosophy collide in a `fine-tuned' universe", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "3", month = apr, year = "2014", bibdate = "Mon Aug 15 18:24:35 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Borwein:2014:BTM, author = "J. M. Borwein", title = "Budget 2014: there's more to science than medical research", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "13", month = may, year = "2014", bibdate = "Mon Aug 15 18:23:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/budget-2014-theres-more-to-science-than-medical-research-26632", acknowledgement = ack-nhfb, } @Article{Borwein:2014:BRB, author = "Jonathan M. {Borwein} and Brailey {Sims}", title = "Book review of: {A. Lo Bello, \booktitle{Origins of mathematical words. A comprehensive dictionary of Latin, Greek and Arabic roots}}", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "41", number = "2", pages = "116--118", month = may, year = "2014", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", MRnumber = "00A17 01-02 01A05 00A20", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.austms.org.au/Publ/Gazette/2014/May14/BkRev.pdf", ZMnumber = "1329.00048", ajournal = "Aust. Math. Soc. Gaz.", fjournal = "Australian Mathematical Society Gazette", journal-URL = "http://www.austms.org.au/gazette", } @Article{Bailey:2014:CPP, author = "David H. Bailey and Jonathan M. Borwein", title = "Can Pi Be Trademarked?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "20", month = jun, year = "2014", bibdate = "Mon Aug 15 18:22:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/can-pi-be-trademarked_b_5513392.html", acknowledgement = ack-nhfb, } @Article{Bailey:2014:HFL, author = "David H. Bailey and Jonathan M. Borwein", title = "How Financially Literate Is the Investing Public?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "29", month = jul, year = "2014", bibdate = "Mon Aug 15 18:21:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/how-financially-literate-investing-public_b_5625649.html", acknowledgement = ack-nhfb, } @Article{Borwein:2014:MWF, author = "J. M. Borwein", title = "Meet the winners of the {Fields Medal}: the `{Nobel Prize} of maths'", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "12", month = aug, year = "2014", bibdate = "Mon Aug 15 18:20:42 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/meet-the-winners-of-the-fields-medal-the-nobel-prize-of-maths-30411", acknowledgement = ack-nhfb, } @Article{Bailey:2014:FFQ, author = "David H. Bailey and Jonathan M. Borwein", title = "To frack or not to frack: That is the question", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "9", month = sep, year = "2014", bibdate = "Mon Aug 15 18:18:50 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/to-frack-or-not-to-frack-that-is-the-question_b_5781634.html", acknowledgement = ack-nhfb, } @Article{Borwein:2014:CCB, author = "Jonathan Borwein and Michael Rose", title = "Clearing up confusion between correlation and causation", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "22", month = sep, year = "2014", bibdate = "Tue Aug 16 07:32:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/clearing-up-confusion-between-correlation-and-causation-30761", acknowledgement = ack-nhfb, } @Article{Borwein:2014:ECC, author = "J. M. Borwein and M. Rose", title = "Explainer: clearing up confusion between correlation and causation", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "23", month = sep, year = "2014", bibdate = "Mon Aug 15 18:17:59 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.edu.au/profiles/jon-borwein-101", acknowledgement = ack-nhfb, } @Article{Bailey:2014:FEH, author = "David H. Bailey and Jonathan M. Borwein", title = "Fusion Energy: Hope or Hype?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "23", month = oct, year = "2014", bibdate = "Mon Aug 15 18:17:08 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/fusion-energy-hope-or-hype_b_6031968.html", acknowledgement = ack-nhfb, } @Article{Borwein:2014:HBW, author = "J. M. Borwein and M. Rose", title = "How betting works and why the {Melbourne Cup} skews the odds", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "30", month = oct, year = "2014", bibdate = "Mon Aug 15 18:16:24 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/how-betting-works-and-why-the-melbourne-cup-skews-the-odds-33357", acknowledgement = ack-nhfb, } @Article{Bailey:2014:DDD, author = "David H. Bailey and Jonathan M. Borwein", title = "Dubious Digits: Is This Data Really That Accurate?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "10", month = nov, year = "2014", bibdate = "Mon Aug 15 18:16:04 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/dubious-digits-is-this-da_b_6129864.html", acknowledgement = ack-nhfb, } @Article{Bailey:2014:SDJ, author = "David H. Bailey and Jonathan M. Borwein", title = "The significance of digits: just how reliable are reported numbers?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "27", month = nov, year = "2014", bibdate = "Mon Aug 15 18:15:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/the-significance-of-digits-just-how-reliable-are-reported-numbers-34295", acknowledgement = ack-nhfb, } @Article{Bailey:2014:LEN, author = "David H. Bailey and Jonathan M. Borwein", title = "Low Energy Nuclear Reactions: Papers and Patents", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "28", month = nov, year = "2014", bibdate = "Mon Aug 15 18:14:37 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/low-energy-nuclear-reacti_b_6189772.html", acknowledgement = ack-nhfb, } @Article{Bailey:2015:PPD, author = "David H. Bailey and Jonathan M. Borwein", title = "Prepared for Pi Day? {This} year it's a once in a century celebration", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "13", month = mar, year = "2015", bibdate = "Mon Aug 15 18:13:33 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/prepared-for-pi-day-this-year-its-a-once-in-a-century-celebration-38576", acknowledgement = ack-nhfb, } @Article{Bailey:2015:WFP, author = "David H. Bailey and Jonathan M. Borwein", title = "Where is {ET}? {Fermi's Paradox} Turns 65", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "10", month = apr, year = "2015", bibdate = "Mon Aug 15 18:11:19 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See also Part II \cite{Bailey:2015:DSF}.", URL = "http://www.huffingtonpost.com/david-h-bailey/where-is-et-fermis-parado_b_7014044.html", acknowledgement = ack-nhfb, } @Article{Borwein:2015:OPB, author = "J. M. Borwein", title = "It's often the puzzles that baffle that go viral", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "16", month = apr, year = "2015", bibdate = "Mon Aug 15 18:10:44 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/its-often-the-puzzles-that-baffle-that-go-viral-40216", acknowledgement = ack-nhfb, } @Article{Bailey:2015:DSF, author = "David H. Bailey and Jonathan M. Borwein", title = "Desperately Seeking {ET}: {Fermi's Paradox} Turns 65 ({Part II})", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "17", month = apr, year = "2015", bibdate = "Mon Aug 15 18:10:10 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See Part I \cite{Bailey:2015:WFP} and response \cite{Solomon:2015:DS}.", URL = "http://www.huffingtonpost.com/david-h-bailey/where-is-et-fermis-parado_b_7014044.html", acknowledgement = ack-nhfb, } @Article{Bailey:2015:LFC, author = "David H. Bailey and Jonathan M. Borwein", title = "Lessons From the ``Flash Crash'' Regulatory Fiasco", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "27", month = apr, year = "2015", bibdate = "Mon Aug 15 18:09:34 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/lessons-from-the-flash-cr_b_7148898.html", acknowledgement = ack-nhfb, } @Article{Borwein:2015:TWC, author = "J. M. Borwein", title = "The `train wreck' continues: another social science retraction", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "29", month = may, year = "2015", bibdate = "Mon Aug 15 18:09:11 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/the-train-wreck-continues-another-social-science-retraction-42404", acknowledgement = ack-nhfb, } @Article{Bailey:2015:HWD, author = "David H. Bailey and Jonathan M. Borwein", title = "How Well Do Individuals Understand Social Security (And Its Overseas Counterparts)?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "25", month = jun, year = "2015", bibdate = "Mon Aug 15 18:07:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/how-well-do-individuals-u_b_7664706.html", acknowledgement = ack-nhfb, } @Article{Bailey:2015:MLY, author = "David H. Bailey and Jonathan M. Borwein", title = "{Moore's Law} is 50 years old but will it continue?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "20", month = jul, year = "2015", bibdate = "Mon Aug 15 18:07:08 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/moores-law-is-50-years-old-but-will-it-continue-44511", acknowledgement = ack-nhfb, } @Article{Bailey:2015:DGC, author = "David H. Bailey and Jonathan M. Borwein", title = "Does Gun Control Encourage Crime? {The} Science of Crime Statistics", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "3", month = aug, year = "2015", bibdate = "Mon Aug 15 18:06:22 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/does-gun-control-encourage-crime_b_7917684.html", acknowledgement = ack-nhfb, } @Article{Bailey:2015:CFH, author = "David H. Bailey and Jonathan M. Borwein", title = "Cold Fusion Heats Up: Fusion Energy and {LENR} Update", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "27", month = aug, year = "2015", bibdate = "Mon Aug 15 18:05:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/post_10010_b_8052326.html", acknowledgement = ack-nhfb, } @Article{Borwein:2015:MWK, author = "J. M. Borwein", title = "The Man Who Knew Infinity: a mathematician's life comes to the movies", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "17", month = nov, year = "2015", bibdate = "Mon Aug 15 18:04:41 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/the-man-who-knew-infinity-a-mathematicians-life-comes-to-the-movies-50777", acknowledgement = ack-nhfb, keywords = "Robert Kanigel; Srinivasa Ramanujan", } @Article{Bailey:2015:HMP, author = "David H. Bailey and Jonathan M. Borwein", title = "How Have 2014 Market Prophets Fared?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "9", month = dec, year = "2015", bibdate = "Mon Aug 15 18:14:03 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/how-have-2014-market-prophets-fared_b_6273434.html", acknowledgement = ack-nhfb, } @Article{Bailey:2015:DVT, author = "David H. Bailey and Jonathan M. Borwein", title = "Data vs Theory: The Mathematical Battle for the Soul of Physics", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "30", month = dec, year = "2015", bibdate = "Mon Aug 15 18:04:08 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/data-vs-theory-the-mathem_b_8886292.html", acknowledgement = ack-nhfb, } @Misc{Bailey:2016:HCB, author = "David H. Bailey and Jonathan M. Borwein", title = "Are humans or computers better at mathematics?", howpublished = "Blog posting", day = "27", month = nov, year = "2016", bibdate = "Mon Nov 28 07:36:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "This article was co-authored with Jonathan M. Borwein before his death on 2 August 2016. A condensed version of this article appeared in \cite{Bailey:2016:WCR}.", acknowledgement = ack-nhfb, } @Article{Bailey:2016:HLI, author = "David H. Bailey and Jonathan M. Borwein", title = "How likely is it that scientists are engaged in a conspiracy?", journal = "Huffington Post", volume = "??", number = "??", pages = "??--??", day = "2", month = feb, year = "2016", bibdate = "Wed Aug 17 07:31:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/how-likely-is-it-that-sci_b_9121342.html", acknowledgement = ack-nhfb, } @Article{Borwein:2016:RMW, author = "J. M. Borwein", title = "{Ramanujan} -- The man who knew infinity", journal = "Rhodes Scholar Blog", volume = "??", number = "??", pages = "??", day = "23", month = feb, year = "2016", bibdate = "Mon Aug 15 18:02:53 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.rhodeshouse.ox.ac.uk/blog/ramanujan-the-man-who-knew-infinity", acknowledgement = ack-nhfb, journal-URL = "http://www.rhodeshouse.ox.ac.uk/", } @Article{Borwein:2016:PPM, author = "J. M. Borwein", title = "Pi and its part in the most beautiful formula in mathematics", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "13", month = mar, year = "2016", bibdate = "Mon Aug 15 18:02:12 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.com/pi-and-its-part-in-the-most-beautiful-formula-in-mathematics-56067", acknowledgement = ack-nhfb, xxtitle = "How pi became part of the most beautiful formula in mathematics", } @Article{Bailey:2016:PD, author = "David H. Bailey and Jonathan M. Borwein", title = "Pi Day 2016", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "14", month = mar, year = "2016", bibdate = "Mon Aug 15 18:01:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/pi-day-2016_b_9432600.html", acknowledgement = ack-nhfb, } @Article{Borwein:2016:PD, author = "J. M. Borwein", title = "Pi Day 2016", journal = "Rhodes Scholar Blog", volume = "??", number = "??", pages = "??", day = "8", month = apr, year = "2016", bibdate = "Mon Aug 15 18:01:00 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.rhodeshouse.ox.ac.uk/blog/pi-day-2016", acknowledgement = ack-nhfb, journal-URL = "http://www.rhodeshouse.ox.ac.uk/blog", } @Article{Bailey:2016:SEF, author = "David H. Bailey and Jonathan M. Borwein", title = "Space Exploration: The Future is Now", journal = "Huffington Post", volume = "??", number = "??", pages = "??--??", day = "15", month = apr, year = "2016", bibdate = "Wed Aug 17 07:31:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/space-exploration-the-fut_b_9697226.html", acknowledgement = ack-nhfb, } @Article{Bailey:2016:WMM, author = "David H. Bailey and Jonathan M. Borwein", title = "Why Are So Many Mathematicians Also Musicians?", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "3", month = may, year = "2016", bibdate = "Mon Aug 15 18:00:00 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/why-are-so-many-mathemati_b_9814796.html", acknowledgement = ack-nhfb, } @Article{Bailey:2016:WCR, author = "David H. Bailey and Jonathan M. Borwein", title = "Will computers replace humans in mathematics?", journal = "The Conversation", volume = "??", number = "??", pages = "??", day = "2", month = jun, year = "2016", bibdate = "Mon Aug 15 18:03:31 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://theconversation.edu.au/profiles/jon-borwein-101", acknowledgement = ack-nhfb, } @Article{Bailey:2016:IAR, author = "David H. Bailey and Jonathan M. Borwein", title = "Interview With {Andrea Rossi}, {LENR} Energy Pioneer", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "7", month = oct, year = "2016", bibdate = "Mon Aug 15 18:05:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.huffingtonpost.com/david-h-bailey/interview-with-andrea-ros_b_8248624.html", acknowledgement = ack-nhfb, } @TechReport{Bailey:2017:JBEa, author = "David H. Bailey", title = "{Jonathan Borwein}: Experimental Mathematician", type = "Report", institution = "Department of Computer Science, University of California, Davis", address = "Davis, CA 95616, USA", day = "10", month = jan, year = "2017", DOI = "https://doi.org/10.1080/10586458.2017.1284625", bibdate = "Mon Feb 27 16:19:39 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.davidhbailey.com/dhbpapers/dhb-jmb-em.pdf; http://www.tandfonline.com/doi/abs/10.1080/10586458.2017.1284625", abstract = "Jonathan M. Borwein unexpectedly died on 2 August 2016, in London, Ontario, Canada, where he had been visiting on leave from home institution, the University of Newcastle, Australia.\par Since his death, the present author and Nelson H. F. Beebe of the University of Utah have been collecting Borwein's many published papers, books, reports and talks, as well as a number of articles written by others (such as book reviews) about Jon and his work. Our current catalog (available at http://www.jonborwein.org/jmbpapers/) lists 1745 items, and the list is certain to grow further. This includes over 500 published books, journal articles and refereed conference papers, a prodigious output for any scholar and especially for a research mathematician. And in an era when many mathematicians focus on a single specialty or subspecialty, Borwein did significant research in a wide range of fields, ranging from analytic number theory and optimization to biomedical imaging, math", acknowledgement = ack-nhfb, } @Article{Bailey:2017:JBEb, author = "David H. Bailey", title = "{Jonathan Borwein}: Experimental Mathematician", journal = j-EXP-MATH, volume = "26", number = "2", pages = "125--129", year = "2017", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2017.1284625", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "01A70; 11Y60; 11Y70", bibdate = "Thu Mar 16 12:09:45 MDT 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/2", URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2017.1284625", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", keywords = "continued fractions; high-precision computation; integer relation detection; Ising theory; Poisson equation", onlinedate = "27 February 2017", } %%% ==================================================================== %%% Part 3 (of 4): Invited talks by Jonathan M. Borwein %%% %%% The list of talks in CV.pdf often records only the university or the %%% city of the talk; those locations have been expanded here to include %%% city, province or state, and country. %%% %%% No talks are recorded in CV.pdf before 1-Aug-1986. Based on their %%% average frequency of 22.8/year, it is likely that there were perhaps %%% 350 between 1972 and 1986 that could have been recorded, but have %%% been lost. %%% %%% Entries are sorted by ascending date, following the list in CV.pdf. @Unpublished{Borwein:1986:CMN, author = "Jonathan M. Borwein", title = "Cones, minimality notions and consequences", publisher = "????", address = "????", pages = "??--??", day = "5", month = aug, year = "1986", bibdate = "Tue Aug 16 10:19:16 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "International conference on Vector Optimization, Darmstadt, West Germany.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1986:SVP, author = "Jonathan M. Borwein", title = "A smooth variational principle", year = "1986", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Computer Science\slash Optimization Seminar, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1986:RME, author = "Jonathan M. Borwein", title = "{Ramanujan}, modular equations and pi", day = "24", month = nov, year = "1986", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, St. Francis Xavier University, Antigonish, NS, Canada.", URL = "http://docserver.carma.newcastle.edu.au/1587/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:SVPb, author = "Jonathan M. Borwein", title = "A smooth variational principle", publisher = "????", address = "????", pages = "??--??", year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Winter meetings, San Antonio, TX, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:RMEa, author = "Jonathan M. Borwein", title = "{Ramanujan}, modular equations and pi", day = "19", month = mar, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Concordia.", URL = "http://docserver.carma.newcastle.edu.au/1587/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:OC, author = "Jonathan M. Borwein", title = "Order complementarity", day = "24", month = mar, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:SVPc, author = "Jonathan M. Borwein", title = "A smooth variational principle", day = "26", month = mar, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis\slash Applied Math seminar, University of Toronto, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:RMEb, author = "Jonathan M. Borwein", title = "{Ramanujan}, modular equations and approximations to pi", day = "1", month = jun, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Ramanujan Centenary Meeting, University of Illinois, Champaign-Urbana, IL, USA.", URL = "http://docserver.carma.newcastle.edu.au/1587/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:SVPd, author = "Jonathan M. Borwein", title = "A smooth variational principle", day = "25", month = jun, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "{Franco--Quebec} Conference on Non-linear Analysis, {Perpignan, France}.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:TIR, author = "Jonathan M. Borwein", title = "A theta identity of {Ramanujan}'s and applications", publisher = "????", address = "????", pages = "??--??", day = "21", month = jul, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Summer Research Institute, Bowdoin College, Brunswick, ME, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:SAC, author = "Jonathan M. Borwein", title = "Spectral analysis via convex programming", day = "15", month = oct, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "{Charnes}' 70th birthday conference, IC2, University of Texas at Austin, Austin, TX, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1987:AGM, author = "Jonathan M. Borwein", title = "The arithmetic--geometric mean of {Gauss} and {Legendre}: An Excursion", day = "15", month = dec, year = "1987", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Canadian Mathematical Society, Coxeter--James Lecture, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:PFC, author = "Jonathan M. Borwein", title = "Partially-finite convex programming", day = "6", month = jan, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Winter Meetings, Atlanta, GA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:ETEa, author = "Jonathan M. Borwein", title = "{Ekeland}'s theorem and its extensions", day = "12", month = may, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Distinguished Lecturer Series, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:AGMa, author = "Jonathan M. Borwein", title = "The arithmetic--geometric mean of {Gauss} and {Legendre}: An Excursion", day = "13", month = may, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Distinguished Lecturer Series, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:AGMb, author = "Jonathan M. Borwein", title = "The arithmetic--geometric mean of {Gauss} and {Legendre}: An Excursion", day = "14", month = jun, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:AGMc, author = "Jonathan M. Borwein", title = "The arithmetic--geometric mean of {Gauss} and {Legendre}: An Excursion", day = "27", month = jun, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of New England, Armidale, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:ETEb, author = "Jonathan M. Borwein", title = "{Ekeland}'s theorem and its extensions", day = "29", month = jun, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of New England, Armidale, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:AGMd, author = "Jonathan M. Borwein", title = "The arithmetic--geometric mean of {Gauss} and {Legendre}: An Excursion", day = "27", month = jul, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Auckland University, Auckland, New Zealand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:ETEc, author = "Jonathan M. Borwein", title = "{Ekeland}'s theorem and its extensions", day = "1", month = aug, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Melbourne University, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:OPE, author = "Jonathan M. Borwein", title = "Open problems on the existence of nearest points", day = "9", month = aug, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Functional Analysis and Optimization, Australian National University, Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:STAa, author = "Jonathan M. Borwein", title = "Subderivatives and their applications", day = "17", month = aug, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conference on Functional Analysis and Optimization, Australian National University, Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:MCK, author = "Jonathan M. Borwein", title = "{Mosco} convergence and the {Kadec} property", day = "24", month = aug, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Functional Analysis and Optimization, Australian National University, Canberra, ACT, Australia.", URL = "http://docserver.carma.newcastle.edu.au/1584/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:STAb, author = "Jonathan M. Borwein", title = "Subderivatives and their applications", day = "9", month = sep, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Joint Colloquium, University of New South Wales and Sydney University, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:AGMe, author = "Jonathan M. Borwein", title = "The arithmetic--geometric mean of {Gauss} and {Legendre}: An Excursion", day = "12", month = sep, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Macquarie University, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1988:BFD, author = "Jonathan M. Borwein", title = "{Borchardt}'s four-dimensional arithmetic--geometric mean", day = "14", month = sep, year = "1988", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Macquarie University, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:CPH, author = "Jonathan M. Borwein", title = "The calculation of pi. {How}, why, what?", day = "8", month = feb, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nova Scotia Institute of Science, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:QMIa, author = "Jonathan M. Borwein", title = "Quadratic Mean Iterations", day = "4", month = mar, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Carleton University\slash Universit{\'e} d'Ottawa joint Colloquium, Carleton University, Ottawa, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:QMIb, author = "Jonathan M. Borwein", title = "Quadratic Mean Iterations", day = "12", month = apr, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Rutger's University, New Brunswick, NJ, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:PAG, author = "Jonathan M. Borwein", title = "Pi and the arithmetic--geometric mean", day = "14", month = apr, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Rutger's University, New Brunswick, NJ, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:AFM, author = "Jonathan M. Borwein", title = "{APICS\slash FRASER} medal presentation talk", day = "12", month = may, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:MCT, author = "Jonathan M. Borwein", title = "Minimal {CUSCOS} and their applications", day = "9", month = jun, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary talk, Conference on Fixed Point Theory, CIRM, Marseille, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:MCP, author = "Jonathan M. Borwein", title = "Minimal {CUSCOS} and Preisses theorem", day = "12", month = jun, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Miniconference on Optimization Theory, University of Pau, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:SFC, author = "Jonathan M. Borwein", title = "Semi-finite convex programming", day = "17", month = oct, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ORSA\slash TIMS National Meeting, New York (presented by A. Lewis).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1989:PER, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "9", month = nov, year = "1989", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", note = "Colloquium, Department of Computer Science, University of Manitoba, Winnipeg, MB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:MCAa, author = "Jonathan M. Borwein", title = "Minimal {CUSCOS} and applications to {Lipschitz} functions", day = "19", month = jan, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Winter Meetings, Louisville, KY, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERa, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "22", month = jan, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Mount St Vincent University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERb, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "26", month = jan, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Mount Allison University, Sackville, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERc, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "15", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, University College of Cape Breton, Sydney, NS B1P 6L2, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPa, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "16", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, University of Prince Edward Island, Charlottetown, PE C1A 4P3, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPb, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "24", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, St. Francis Xavier University, Antigonish, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPc, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "31", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Memorial University, St John's, NL, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPd, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "5", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Universit{\'e} de Moncton, Moncton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERe, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "6", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, University of New Brunswick, Moncton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:ETSa, author = "Jonathan M. Borwein", title = "{Ekeland}'s theorem and the smooth variational principle", day = "20", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conference on Topological Methods, Brock University, St. Catharines, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:DPCa, author = "Jonathan M. Borwein", title = "Differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "21", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Ontario Math Meetings \#88, Brock University, St. Catharines, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:DPLa, author = "Jonathan M. Borwein", title = "Differentiability properties of {Lipschitz} functions", day = "15", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar \#1, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:DPLb, author = "Jonathan M. Borwein", title = "Differentiability properties of lower semicontinuous functions", day = "21", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar \#2, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:SDPb, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "24", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Technion Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:MCAb, author = "Jonathan M. Borwein", title = "Minimal {CUSCOS} and applications to {Lipschitz} functions", day = "25", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar \#3, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:SDPc, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "28", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Ben Gurion University, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERf, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "15", month = jun, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:CPAa, author = "Jonathan M. Borwein", title = "Convex programming approaches to moment, curve, and signal estimation", day = "22", month = aug, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Miniconference on Optimization Theory, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:CPCa, author = "Jonathan M. Borwein", title = "Convex programming and the choice of entropy in spectral estimation", day = "21", month = nov, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:GMSa, author = "Jonathan M. Borwein", title = "{Greek} mathematics and the story of the circle", day = "6", month = dec, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Junior High presentation, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:MCAc, author = "Jonathan M. Borwein", title = "Minimal {CUSCOS} and applications to {Lipschitz} functions", day = "19", month = jan, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Winter Meetings, Louisville, KY, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERg, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "22", month = jan, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Mount St Vincent University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERh, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "26", month = jan, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Mount Allison University, Sackville, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERi, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "15", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, University College of Cape Breton, Sydney, NS B1P 6L2, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPe, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "16", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, University of Prince Edward Island, Charlottetown, PE C1A 4P3, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERj, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "23", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Acadia University, Wolfville, NS B4P 2R6, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPf, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "24", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, St. Francis Xavier University, Antigonish, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPg, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "31", month = mar, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Memorial University, St John's, NL, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:HCPh, author = "Jonathan M. Borwein", title = "The history of the computation of PI", day = "5", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, Universit{\'e} de Moncton, Moncton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERk, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "6", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APICS Lecture, University of New Brunswick, Moncton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:ETSb, author = "Jonathan M. Borwein", title = "{Ekeland}'s theorem and the smooth variational principle", day = "20", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conference on Topological Methods, Brock University, St. Catharines, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:DPCb, author = "Jonathan M. Borwein", title = "Differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "21", month = apr, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Ontario Math Meetings \#88, Brock University, St. Catharines, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:DPLc, author = "Jonathan M. Borwein", title = "Differentiability properties of {Lipschitz} functions", day = "15", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar \#1, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:DPLd, author = "Jonathan M. Borwein", title = "Differentiability properties of lower semicontinuous functions", day = "21", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar \#2, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:SDPd, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "24", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:MCAd, author = "Jonathan M. Borwein", title = "Minimal {CUSCOS} and applications to {Lipschitz} functions", day = "25", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar \#3, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:SDPe, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "28", month = may, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Ben Gurion University, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:PERl, author = "Jonathan M. Borwein", title = "Pi, {Euler}, {Ramanujan}, and {MAPLE}", day = "15", month = jun, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:CPAb, author = "Jonathan M. Borwein", title = "Convex programming approaches to moment, curve, and signal estimation", day = "22", month = aug, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Miniconference on Optimization Theory, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:CPCb, author = "Jonathan M. Borwein", title = "Convex programming and the choice of entropy in spectral estimation", day = "21", month = nov, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Department of Combinatorics and Optimization, Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1990:GMSb, author = "Jonathan M. Borwein", title = "{Greek} mathematics and the story of the circle", day = "6", month = dec, year = "1990", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Junior High presentation, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:DAOa, author = "Jonathan M. Borwein", title = "Discovering analytic objects by computer", day = "25", month = jan, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Miniconference on Symbolic computation, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:DAOb, author = "Jonathan M. Borwein", title = "Discovering analytic objects by computer", day = "25", month = jan, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Miniconference on Symbolic computation, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:EMRa, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic objects by computer", day = "13", month = mar, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium Pure Mathematics Department, Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:EMRb, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic objects by computer", day = "23", month = apr, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Number Theory Seminar, Universit{\'e} de Limoges, Limoges, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:EMRc, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan} and a little Pi: Discovering analytic objects by computer", day = "25", month = apr, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "One of two invited talks at the Festkolloquium for Dr. A. Peyerimhoff 's 65th birthday, Ulm, Germany.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:SDPa, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "29", month = apr, year = "1991", bibdate = "Tue Aug 16 14:05:33 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Universit{\"a}t Stuttgart, Stuttgart, Germany.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:CPCa, author = "Jonathan M. Borwein", title = "Convex programming and the choice of entropy in spectral estimation", day = "15", month = may, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary talk, Journees d'Optimization, Universit{\'e} de Limoges, Limoges, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:SDPb, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "17", month = may, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Optimization Seminar, Universit{\'e} de Limoges, Limoges, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:EMRd, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic objects by computer", day = "21", month = may, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar Project Algorithms Group, INRIA, Paris.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:SDPc, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "23", month = may, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, Universit{\'e} de Paris VI, Paris, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:CPCb, author = "Jonathan M. Borwein", title = "Convex programming and the choice of entropy in spectral estimation", day = "29", month = may, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session on Dynamic Optimization, CMS Summer Meeting, Universit{\'e} de Sherbrooke, Sherbrooke, QC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:GFB, author = "Jonathan M. Borwein", title = "On the generating function of $ [n a + b] $", day = "5", month = jun, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "International Conference on Functional Equations, Acadia University, Wolfville, NS B4P 2R6, Canada.", URL = "http://docserver.carma.newcastle.edu.au/1564/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:RWLa, author = "Jonathan M. Borwein", title = "{Ramanujan}: the wonderful life of the {Indian} mathematical genius {S. Ramanujan} (1887--1920)", day = "27", month = jun, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Faculty of Science, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:EMRe, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic objects by computer", day = "28", month = jun, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:RWLb, author = "Jonathan M. Borwein", title = "{Ramanujan}: the wonderful life of the {Indian} mathematical genius {S. Ramanujan} (1887--1920)", day = "26", month = jul, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:SDPd, author = "Jonathan M. Borwein", title = "A survey of differentiability properties of convex, {Lipschitz} and semicontinuous functions", day = "9", month = oct, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, York University, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:EAU, author = "Jonathan M. Borwein", title = "Estimation and approximation using infinite dimensional convex programs with entropy type objectives", day = "26", month = oct, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session on Constrained Approximation, AMS Regional Meeting, University of North Dakota, Fargo, ND, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1991:DAOc, author = "Jonathan M. Borwein", title = "Discovering analytic objects by computer", day = "12", month = nov, year = "1991", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Guelph University, Guelph, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:EMRa, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic objects by computer", day = "6", month = feb, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, York University, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:EAU, author = "Jonathan M. Borwein", title = "Estimation and approximation using infinite dimensional convex programs with entropy type objectives", day = "19", month = feb, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Industrial and Organizational Engineering, University of Michigan, Ann Arbor, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:EMRb, author = "Jonathan M. Borwein", title = "{Euler}, {Mahler}, {Ramanujan}: Discovering analytic objects by computer", day = "20", month = feb, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Department of Mathematics, University of Michigan, Ann Arbor, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:IMSa, author = "Jonathan M. Borwein", title = "Iterative methods for solving inverse problems and computing fixed points", day = "9", month = apr, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:IMSb, author = "Jonathan M. Borwein", title = "Iterative methods for solving inverse problems and computing fixed points", day = "23", month = apr, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Pure Mathematics, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:GCE, author = "Jonathan M. Borwein", title = "Guided Computer Experimentation in Mathematics: {Euler}, {Mahler}, {Ramanujan} and {Maple}", day = "2", month = may, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Harry H. Gehman Lecture, MAA\slash OMM Meeting, Queen's University, Kingston, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:FSOa, author = "Jonathan M. Borwein", title = "First and second order differentiability of convex functions on various {Banach} spaces", day = "16", month = may, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Variational Analysis and Related Topics, University of California at Davis, Davis, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:IDE, author = "Jonathan M. Borwein", title = "Infinite dimensional entropy minimization: a tutorial", day = "21", month = may, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "14th Symposium on Mathematical Programming with Data Perturbations, George Washington University, Washington, DC, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:FME, author = "Jonathan M. Borwein", title = "On the failure of `maximum entropy' reconstruction for {Fredholm} operators and other infinite dimensional systems", day = "22", month = may, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "14th Symposium on Mathematical Programming with Data Perturbations, George Washington University, Washington, DC, USA, 10. June 15th.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:CEM, author = "Jonathan M. Borwein", title = "A communications example: {Maple} and {Pari}", day = "15", month = jun, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Annual Maple Retreat, Sparrow Lake, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:FSOb, author = "Jonathan M. Borwein", title = "First and second order differentiability of convex functions on various {Banach} spaces", day = "20", month = aug, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Variational Analysis and Related Topics, First World Congress of Nonlinear Analysts, Tampa, FL, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1992:IMSc, author = "Jonathan M. Borwein", title = "Iterative methods for solving inverse problems and computing fixed points", day = "4", month = sep, year = "1992", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Third FrancoLatin American Conference on Applied Mathematics, Santiago, Chile.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:FSOa, author = "Jonathan M. Borwein", title = "First and second order differentiability of convex functions on various {Banach} spaces", day = "2", month = feb, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:HCPa, author = "Jonathan M. Borwein", title = "A history of the computation of Pi", day = "3", month = feb, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Undergraduate Colloquium, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:AAL, author = "Jonathan M. Borwein", title = "An analyst's approach to linear inequality systems", day = "12", month = feb, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Department of Mathematics, University of Colorado, Boulder, CO, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:CAMa, author = "Jonathan M. Borwein", title = "Computer assisted `Mathematics and Plausible Reasoning'", day = "15", month = feb, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Kempner Colloquium, Department of Mathematics, University of Colorado, Boulder, CO, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:HCPb, author = "Jonathan M. Borwein", title = "A history of the computation of Pi", day = "25", month = mar, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Vermont, Burlington, VT, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:CAMb, author = "Jonathan M. Borwein", title = "Computer assisted `Mathematics and Plausible Reasoning'", day = "8", month = apr, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Pennsylvania State University, State College, PA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:FSOb, author = "Jonathan M. Borwein", title = "First and second order differentiability of convex functions on various {Banach} spaces", day = "1", month = may, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Regional Functional Analysis Conference, Miami University, Oxford, OH, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:SIS, author = "Jonathan M. Borwein", title = "Some intriguing series involving (4)", day = "7", month = may, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Tutte Seminar, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:MIE, author = "Jonathan M. Borwein", title = "Means, iterations and experimentally induced identities", day = "15", month = aug, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MAA-CMS Invited Lecture, Joint AMS\slash MAA\slash CMS Summer Meetings, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:CPE, author = "Jonathan M. Borwein", title = "Convex programming and entropy type functions", day = "2", month = sep, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, XVIII Symposium on Operations Research, University of Cologne.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:WEM, author = "Jonathan M. Borwein", title = "What is experimental Mathematics?", day = "27", month = sep, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Colloquium, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:TEE, author = "Jonathan M. Borwein", title = "Three examples of experimental computational analysis?", day = "9", month = oct, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Pacific Northwest Numerical Analysis Seminar, University of Washington, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:RWL, author = "Jonathan M. Borwein", title = "{S. Ramanujan}: a Wonderful Life?", day = "16", month = oct, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "South Asian Colloquium of the Pacific Northwest, Harbour Centre, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1993:SIT, author = "Jonathan M. Borwein", title = "Shrum Inaugural Talk", day = "19", month = oct, year = "1993", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Harbour Centre, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:NASa, author = "Jonathan M. Borwein", title = "Nonsmooth analysis in smooth {Banach} spaces", day = "18", month = jan, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, University of Washington, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:WEMa, author = "Jonathan M. Borwein", title = "What is Experimental Mathematics?", day = "3", month = mar, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of California, Santa Barbara, Santa Barbara, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:NASb, author = "Jonathan M. Borwein", title = "Nonsmooth analysis in smooth {Banach} spaces", day = "4", month = mar, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, University of California, Santa Barbara, Santa Barbara, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:WEMb, author = "Jonathan M. Borwein", title = "What's Experimental Mathematics?", day = "22", month = mar, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Talk to Grade 12 Students Spring Break, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:NASc, author = "Jonathan M. Borwein", title = "Nonsmooth analysis in smooth {Banach} spaces", day = "11", month = apr, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Victoria, Victoria, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:GME, author = "Jonathan M. Borwein", title = "{Greek} Mathematics and Especially the Story of the Circle", day = "14", month = apr, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "High School Science Evening, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:WEMc, author = "Jonathan M. Borwein", title = "What is Experimental Mathematics?", day = "23", month = apr, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Algorithms Seminar, Samedi de Recherche, University of Ottawa, Ottawa, ON, Canada. 8. June 27th.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:ECFb, author = "Jonathan M. Borwein", title = "Examples of convex functions and classification of normed spaces", day = "27", month = jun, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary talk, VII Colloque Franco--Allemand d'Optimisation, Dijon, France.", URL = "http://docserver.carma.newcastle.edu.au/64/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:NASd, author = "Jonathan M. Borwein", title = "Nonsmooth analysis in smooth {Banach} spaces", day = "5", month = jul, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Limoges, Limoges, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:EMPb, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "11", month = aug, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Maple Summer Workshop and Symposium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:VHD, author = "Jonathan M. Borwein", title = "The vision: how do we integrate \ldots{} mature computation techniques", day = "11", month = aug, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Maple Summer Workshop and Symposium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:WTA, author = "Jonathan M. Borwein", title = "Ways of thinking about duality", day = "16", month = aug, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Student Session, XV International Mathematical Programming Symposium, Ann Arbor, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:VDT, author = "Jonathan M. Borwein", title = "Viscosity derivatives: theory and applications", day = "18", month = aug, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "XV International Mathematical Programming Symposium, Ann Arbor, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:MEM, author = "Jonathan M. Borwein", title = "Maximization entropy methods (using derivative information) and infinite dimensional convex programming", day = "18", month = aug, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "XV International Mathematical Programming Symposium, Ann Arbor, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:GCP, author = "Jonathan M. Borwein", title = "{Giuga}'s conjecture on primality", day = "7", month = oct, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Centre de R{\'e}cherche Math{\'e}matiques XXV Anniversary Conference, Montreal, Quebec.", URL = "http://docserver.carma.newcastle.edu.au/88/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:EMPc, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "18", month = nov, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Indiana University, Bloomington, IN, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:EMPd, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "24", month = nov, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:CGS, author = "Jonathan M. Borwein", title = "Characterizations of generalized subgradients amongst one-dimensional multifunctions: and extensions", day = "11", month = dec, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CMS Winter Meeting, Special Session on Nonsmooth Analysis Meridien Hotel, McGill University, Montreal, QC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1994:CPP, author = "Jonathan M. Borwein and J. Zhu", title = "Control problems with perturbations in non-reflexive space", day = "16", month = dec, year = "1994", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "33rd CDCIEEE Meetings Orlando, FL, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:MMTa, author = "Jonathan M. Borwein", title = "Minimal multifunctions and their applications", day = "7", month = jan, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on multivalued nonlinear dynamics, AMS Winter Meeting, Hilton Hotel, San Francisco, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:VSFa, author = "Jonathan M. Borwein", title = "Virtual Science: the future of mathematical research", day = "22", month = feb, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "President's Lecture Series, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:VSFb, author = "Jonathan M. Borwein", title = "Virtual Science: the future of mathematical research", day = "2", month = mar, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Science I, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:ESD, author = "Jonathan M. Borwein", title = "Essentially strictly differentiable {Lipschitz} functions", day = "5", month = mar, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "West Coast Optimization Meeting, University of Washington, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:MMTb, author = "Jonathan M. Borwein", title = "Minimal multifunctions and their applications", day = "1", month = apr, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Nonsmooth Analysis and Applications, University of California at Santa Barbara, Santa Barbara, CA, USA, April 1--2.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPa, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "7", month = apr, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Computing Science, University of Northern British Columbia, Prince George, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EEEb, author = "Jonathan M. Borwein", title = "Experimental evaluation of {Euler} sums", day = "17", month = may, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Halberstam retirement conference, Urbana, IL, USA, May 16--21, 1995.", URL = "http://docserver.carma.newcastle.edu.au/60/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:VDT, author = "Jonathan M. Borwein", title = "Viscosity derivatives: theory and applications", day = "28", month = jun, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, University of Auckland, New Zealand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPb, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "5", month = jul, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Principal Lecture, Australian Mathematical Society Meeting, University of Tasmania, Hobart, TAS, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:MEMb, author = "Jonathan M. Borwein", title = "Maximum entropy methods (using derivative information) and infinite dimensional convex programming", day = "11", month = jul, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Principal Lecture, Optimization Miniconference, University of NSW, Sydney, NSW, Australia. 11. July 17th.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:MEMc, author = "Jonathan M. Borwein", title = "Essentially strictly differentiable {Lipschitz} functions", day = "17", month = jul, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:KCa, author = "Jonathan M. Borwein", title = "On {Khinchine}'s Constant", day = "18", month = jul, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPc, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "19", month = jul, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "University Public Lecture, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPd, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "27", month = jul, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, University of Western Australia, Crawley, WA 6009, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:MEMd, author = "Jonathan M. Borwein", title = "Maximum entropy methods (using derivative information) and infinite dimensional convex programming", day = "1", month = aug, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Pure Mathematics Seminar, University of Western Australia, Crawley, WA 6009, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPe, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "7", month = aug, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, Murdoch University. Perth, WA, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:WEM, author = "Jonathan M. Borwein", title = "What is Experimental mathematics?", day = "5", month = oct, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Principal Lecture, Workshop on Experimental Mathematics, CARMA, Technical University of Denmark, Lyngby, Denmark.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:CHNa, author = "Jonathan M. Borwein", title = "Convex {Haar} null sets in separable {Banach} spaces", day = "24", month = oct, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Lecture at Honoris Causa ceremony for R. T. Rockafellar, Universit{\'e} de Montpelier II, Montpelier, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPf, author = "Jonathan M. Borwein", title = "Experimental mathematics: promises and pitfalls", day = "26", month = oct, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "General Colloquium Lecture, University of Utrecht, Utrecht, The Netherlands.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:CAD, author = "Jonathan M. Borwein", title = "The cubic {AGM} discovered", day = "26", month = oct, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Specialist Colloquium Lecture, University of Utrecht, Utrecht, The Netherlands.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:CHNb, author = "Jonathan M. Borwein", title = "Convex {Haar} null sets in separable {Banach} spaces", day = "8", month = nov, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Functional Analysis Seminar, Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:EMPg, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "9", month = nov, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1995:KCb, author = "Jonathan M. Borwein", title = "On {Khinchine}'s Constant", day = "7", month = dec, year = "1995", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:EMP, author = "Jonathan M. Borwein", title = "Experimental mathematics, promises and pitfalls", day = "6", month = feb, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium \& MAA Visiting Lecture, Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:OMP, author = "Jonathan M. Borwein", title = "The Organic Mathematics Proceedings", day = "29", month = mar, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Manitoba, Winnipeg, MB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:MESa, author = "Jonathan M. Borwein", title = "Multidimensional {Euler} Sums: some Recent Results", day = "13", month = jun, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Combinatorics and Graph Theory Conference (in honour of Herbert Wilf's 65th birthday), June 13--15, University of Pennsylvania, Philadelphia, PA 19104, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:CAA, author = "Jonathan M. Borwein", title = "Convex Analysis and Applications", day = "10", month = aug, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Mathfest, University of Washington, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:MESb, author = "Jonathan M. Borwein", title = "Multidimensional {Euler} Sums: some Recent Results", day = "14", month = aug, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CECM Conference on Analysis and its Computational Applications, Simon Fraser University, Burnaby, BC, Canada, August 14--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:MESc, author = "Jonathan M. Borwein", title = "Multidimensional {Euler} Sums: some Recent Results", day = "21", month = aug, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Fifth Canadian Number Theory Association Meeting, Carleton University, Ottawa, ON, Canada, August 17--22.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:VSC, author = "Jonathan M. Borwein", title = "Virtual science: the changing face of Mathematics", day = "23", month = aug, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "National Council of Teachers of Mathematics, Canadian Regional Meeting, Vancouver, BC, Canada, August 22--23.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:MPW, author = "Jonathan M. Borwein", title = "Mathematical publishing on the web", day = "21", month = sep, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "10th Pacific North West Numerical Analysis Seminar, Vancouver, BC, Canada.", URL = "http://docserver.carma.newcastle.edu.au/190/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:MMM, author = "Jonathan M. Borwein", title = "Multi-modal Mathematics", day = "5", month = nov, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Annual TeleLearning Meeting and Conference (as part of Plenary --- Theme 5: Post Secondary Education), Montreal, QC, Canada, November 5--7.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1996:DMW, author = "Jonathan M. Borwein", title = "Doing Mathematics on the Web", day = "15", month = nov, year = "1996", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:DMWa, author = "Jonathan M. Borwein", title = "Doing Mathematics on the Web", day = "15", month = jan, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:DMWb, author = "Jonathan M. Borwein", title = "Doing Mathematics on the Web", day = "20", month = feb, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Stats and CS, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MEM, author = "Jonathan M. Borwein", title = "Maximum Entropy Methods an Introduction", day = "4", month = mar, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "VHHSC Medical Imaging Group Open House, Vancouver Hospital and Health Science Centre, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:OPT, author = "Jonathan M. Borwein", title = "Online publishing: two views from the electronic trenches", day = "7", month = mar, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Scholarly Communication in the Next Millennium, Simon Fraser University (Harbour Centre), Burnaby, BC, Canada, March 5--8.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:DMWc, author = "Jonathan M. Borwein", title = "Doing Mathematics on the Web", day = "26", month = mar, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Science Faculty, Malaspina University College, Nanaimo, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:EMD, author = "Jonathan M. Borwein", title = "Evaluation of multi-dimensional {Euler\slash Zagier} sums", day = "19", month = apr, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Special Session on Algebraic and Elementary Number Theory, Corvallis, OR, USA, April 19--20.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MMS, author = "Jonathan M. Borwein and Peter B. Borwein", title = "Mathematics on Main Street", day = "24", month = apr, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Board--Faculty Association Dinner, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:PSV, author = "Jonathan M. Borwein", title = "Partially smooth variational analysis", day = "2", month = may, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Special Session on Optimization and Variational Analysis, Wayne State University, Detroit, MI, USA, May 2--4.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:TAPa, author = "Jonathan M. Borwein", title = "Talking about Pi", day = "5", month = may, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics and Statistics Department Colloquium, Western Michigan University, Kalamazoo, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MDP, author = "Jonathan M. Borwein", title = "Multi-dimensional polylogarithmic sums", day = "20", month = may, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CRM Workshop on Experimental Mathematics and Combinatorics, Montreal, QC, Canada, May 19--23.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MPWa, author = "Jonathan M. Borwein", title = "Mathematical publishing on the web", day = "1", month = jun, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CAMS--Fields Mini--Colloquium on Technology and Mathematical Education, Toronto, ON, Canada.", URL = "http://docserver.carma.newcastle.edu.au/190/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MMa, author = "Jonathan M. Borwein", title = "The {MathResource} and the {MathBrowser}", day = "29---30", month = jun, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "13 presentations at NECC, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:TASa, author = "Jonathan M. Borwein", title = "Three adventures: Symbolically discovered identities for $ \zeta (4 n + 3) $ and like matters", day = "14", month = jul, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary talk, Formal Power Series and Algebraic Combinatorics, 9, Vienna, Austria, July 14--18.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:SDI, author = "Jonathan M. Borwein", title = "Symbolically discovered identities for ZETA(4N+3) and multidimensional polylogarithms", day = "31", month = jul, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Penn State Number Theory Conference, July 31--Aug 3.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:TAPb, author = "Jonathan M. Borwein", title = "Talking about Pi", day = "4", month = aug, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Two lectures, Canada--USA Mathcamps, Babson College, Wellesley, MA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:VSC, author = "Jonathan M. Borwein", title = "Virtual science: the changing face of mathematical research", day = "5", month = aug, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Three lectures, Canada--USA Mathcamps, Babson College, Wellesley, MA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:DMWd, author = "Jonathan M. Borwein", title = "Doing mathematics on the web: the organic mathematics collection", day = "6", month = aug, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Two lectures, Canada--USA Mathcamps, Babson College, Wellesley, MA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MPWb, author = "Jonathan M. Borwein", title = "Mathematical publishing on the web", day = "22", month = sep, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, School of Mathematical Sciences, Lakehead University, Thunder Bay, ON P7B 5E1, Canada.", URL = "http://docserver.carma.newcastle.edu.au/190/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:TAPc, author = "Jonathan M. Borwein", title = "Talking about Pi", day = "22", month = sep, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, School of Mathematical Sciences, Lakehead University, Thunder Bay, ON P7B 5E1, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:ISC, author = "Jonathan M. Borwein", title = "Inverse symbolic calculation: empirical mathematics", day = "24", month = sep, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CRM Workshop on Computer Algebra and Statistics, Montreal, QC, Canada, September 21--27.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:DMWe, author = "Jonathan M. Borwein", title = "Doing mathematics on the web", day = "6", month = oct, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "1997 Elizabeth Laird Lecture, University of Winnipeg, Winnipeg, MB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:WP, author = "Jonathan M. Borwein", title = "Why Pi?", day = "7", month = oct, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, MB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:TASb, author = "Jonathan M. Borwein", title = "Three adventures: Symbolically discovered identities for $ \zeta (4 n + 3) $ and like matters", day = "9", month = oct, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Joint CS\slash C\&O Colloquium, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:TAPd, author = "Jonathan M. Borwein", title = "Talking about Pi", day = "3", month = nov, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Undergraduate Colloquium, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1997:MMb, author = "Jonathan M. Borwein", title = "Multimodal Mathematics", day = "5--6", month = nov, year = "1997", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Software Demonstrations, Telelearning NCE, Second Annual Conference, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:PSVa, author = "Jonathan M. Borwein", title = "Partially smooth variational analysis", day = "9", month = mar, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop talk, CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle, Newcastle, NSW, Australia, March 9--21.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:SIT, author = "Jonathan M. Borwein", title = "Sandwich (interpolation) theorems for {Lipschitz} functions", day = "13", month = mar, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop talk, CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle, Newcastle, NSW, Australia, March 9--21.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:VSD, author = "Jonathan M. Borwein", title = "Virtual science: doing math on the web", day = "16", month = mar, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Public lecture in conjunction with CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle, Newcastle, NSW, Australia, March 9--21.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:PAM, author = "Jonathan M. Borwein", title = "Projection algorithms and monotone operators", day = "20", month = mar, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture in conjunction with CMA National Symposium on Functional Analysis, Optimization and Applications, University of Newcastle (CIDACS and Mathematics), Newcastle, NSW, Australia, March 9--21.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:TAS, author = "Jonathan M. Borwein", title = "Three adventures in symbolic computing", day = "31", month = mar, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "The Macquarie Mathematics Colloquium and Number Theory Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:JP, author = "Jonathan M. Borwein", title = "The Joy of Pi", day = "22", month = apr, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Joint presentation and book signing with D. Blatner and L. Berggren, University of Washington Bookstore, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:PSVb, author = "Jonathan M. Borwein", title = "Partially smooth variational analysis", day = "24", month = apr, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Spring 1998 West Coast Optimization Meeting, Harbour Centre, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:SNM, author = "Jonathan M. Borwein", title = "Some new mean value inequalities", day = "10", month = jun, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:ES, author = "Jonathan M. Borwein", title = "{Euler} sums", day = "29", month = jun, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CECM98 Analysis Day, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:MFA, author = "Jonathan M. Borwein", title = "Multifunctional and functional analytic methods in nonsmooth analysis", day = "3--7", month = aug, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Four Lectures, NATO Advanced Study Institute on Analyse non lin{\'e}aire, {\'e}quations diff{\'e}rentielles et contr{\^o}le, Universit{\'e} de Montr{\'e}al, Montr{\'e}al, QC, Canada, July 27--Aug 7.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:HPS, author = "Jonathan M. Borwein", title = "High Performance Symbolic Computing: A Mathematician's Perspective", day = "1", month = oct, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, NESRC-MSRI Workshop on Parallel Symbolic Computation (Oct. 1--3), Berkeley, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:BVF, author = "Jonathan M. Borwein", title = "Brainstorming: views of the future", day = "13", month = nov, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation, First Workshop of the IMU Committee on Electronic Information and Communication, (Nov 13--14), Konrad-Zuse-Zentrum f{\"u}r Informationstechnik, Berlin, Germany.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:CNT, author = "Jonathan M. Borwein", title = "Collaborative Networking Technology in the Mathematical Sciences", day = "18", month = nov, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MITACS\slash Canada--China Opening, Asia--Pacific Centre, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1998:MRI, author = "Jonathan M. Borwein", title = "Math Resources: Interactive Mathematics Workspaces", day = "21", month = nov, year = "1998", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Eleventh International Conference on Technology in Collegiate Mathematics, New Orleans, LA, USA (Nov 20--22).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:EMIa, author = "Jonathan M. Borwein", title = "Experimental Mathematics: Insight from Computation", day = "16", month = jan, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MAA Invited Address, Combined Mathematics Meetings, San Antonio, TX, USA, January 12--16.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:SNMa, author = "Jonathan M. Borwein", title = "Some New Mean--value Inequalities", day = "21", month = jan, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Lecture I, Institute of Advanced Research in Mathematics (IAS), Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:PSVb, author = "Jonathan M. Borwein", title = "Partially smooth variational analysis", day = "24", month = jan, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear analysis seminar, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:EMIb, author = "Jonathan M. Borwein", title = "Experimental Mathematics: Insight from Computation", day = "25", month = jan, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Lecture II, Institute of Advanced Research in Mathematics (IAS), Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:TAP, author = "Jonathan M. Borwein", title = "Talking about Pi", day = "27", month = jan, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Technion Mathclub Lecture, Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:PAT, author = "Jonathan M. Borwein", title = "Projection Algorithms \& Tangency Formulae", day = "28", month = jan, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Lecture III, Institute of Advanced Research in Mathematics (IAS), Technion, Haifa, Israel.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:SNMb, author = "Jonathan M. Borwein", title = "Some New Mean--value Inequalities", day = "6", month = feb, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Winter 1998 West Coast Optimization Meeting, University of Washington, Seattle, WA, USA, Feb 5--6.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:PW, author = "Jonathan M. Borwein", title = "Publishing on the Web", day = "8", month = feb, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Burnaby Rotary Club, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:EMIc, author = "Jonathan M. Borwein", title = "Experimental Mathematics: Insight from Computation", day = "8", month = feb, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "2 hour Invited Address, MAA Pacific Northwest Section Meeting, Willamette University, Salem, OR, USA, March 12--13, 1999.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:WP, author = "Jonathan M. Borwein", title = "Why Pi?", day = "13", month = mar, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dinner Address, MAA Pacific Northwest Section Meeting, Willamette University, Salem, OR, USA, March 12--13, 1999.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:CAN, author = "Jonathan M. Borwein", title = "Convex Analysis and Nonlinear Optimization", day = "28", month = mar, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mini-course (9 hours), 5th International Conference on Approximation and Optimization in the Caribbean, Guadeloupe, March 28 April 2, 1999.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:GBGa, author = "Jonathan M. Borwein", title = "Generic Behaviour of Generalized Gradients", day = "29", month = may, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Nonlinear Analysis, Canadian Mathematical Society Summer Meeting, Memorial University, St John's, NL, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:NCM, author = "Jonathan M. Borwein", title = "Numerical and Computational Mathematics at the Undergraduate Level", day = "4", month = jun, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Technology in Mathematics Education (TMEST), Plenary, Brock University, St. Catharines, ON, Canada, June 3--4.", URL = "http://docserver.carma.newcastle.edu.au/246/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:DMPa, author = "Jonathan M. Borwein", title = "The Doing of Mathematics in the Presence of Technology", day = "4", month = jun, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Canadian Mathematics Education Study Group (CMESG), First Plenary, Brock University, St. Catharines, ON, Canada, June 4--8.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:DNMa, author = "Jonathan M. Borwein", title = "Distributed Network Mathematics Laboratories", day = "13", month = jun, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "TL-NCE Project Leaders Meeting, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:DMPb, author = "Jonathan M. Borwein", title = "The Doing of Mathematics in the Presence of Technology", day = "13", month = jul, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Session on Electronic Information and Communication, Joint Australian--American Math Society Meetings, Melbourne, VIC, Australia, July 12--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:MSa, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "13", month = jul, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Session on Operations Research, Joint Australian-American Math Society Meetings, Melbourne, VIC, Australia, July 12--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:GBGb, author = "Jonathan M. Borwein", title = "Generic Behaviour of Generalized Gradients", day = "13", month = jul, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Session on Nonlinear Dynamics and Optimization, Joint Australian-American Math Society Meetings, Melbourne, VIC, Australia, July 12--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:SNMc, author = "Jonathan M. Borwein", title = "Some New Mean-Value Theorems", day = "16", month = jul, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Sixth Australian Optimization Day, Ballarat, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:EMEa, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "29", month = jul, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, International Symposium on Symbolic and Algebraic Commutation (ISSAC), Vancouver, BC, Canada, July 29--31, 1999.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:DNMb, author = "Jonathan M. Borwein", title = "Distributed Network Mathematics Laboratories", day = "3", month = aug, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MITACS Day, CECM, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:PSVc, author = "Jonathan M. Borwein", title = "Partially Smooth Variational Analysis", day = "14", month = sep, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seventh Conference on Well-posedness and Stability of Optimization Problems, Gargnano, Italy, September 13--18.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:EMEb, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "17", month = sep, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Physics Department, University of Bologna, Bologna, Italy.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:HC, author = "Jonathan M. Borwein", title = "Honoris Causa", day = "22", month = sep, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Acceptance speech, University of Limoges, Limoges, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:MSb, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "23", month = sep, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloque: Analyse et Applications.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:MSc, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "1", month = oct, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Pure Mathematics Department, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:DMPc, author = "Jonathan M. Borwein", title = "Doing Math in the Presence of Technology", day = "14", month = oct, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, Miami University of Ohio (1999 Buckingham Fellow in Residence).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:EMId, author = "Jonathan M. Borwein", title = "Experimental Mathematics: Insight from Computation", day = "15", month = oct, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Twenty-Seventh Annual Fall Conference: Twenty-Seventh Annual Fall Conference: ``Experimental Mathematics'', Miami University, October 15--16.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:PC, author = "Jonathan M. Borwein", title = "Pi and its Computation", day = "16", month = oct, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Twenty-Seventh Annual Fall Conference: Twenty-Seventh Annual Fall Conference: ``Experimental Mathematics'', Miami University, October 15--16.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:IAM, author = "Jonathan M. Borwein and June Lester", title = "Issues for Active Math and Math Labs", day = "9", month = nov, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Issues for next generation telelearning systems, Telelearning 1999, Montreal, QC, Canada, November 6--9.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:1999:IML, author = "Jonathan M. Borwein", title = "Interactive Mathematics Labs", day = "12", month = nov, year = "1999", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CECM-MITACS Day Presentation, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:PSC, author = "Jonathan M. Borwein", title = "Parallel Symbolic Computation: Methods and Issues", day = "13--16", month = mar, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Haifa-Technion Workshop on `Inherently parallel algorithms in optimization and feasibility and their applications', March 14.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEa, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "8", month = apr, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Washington State Meeting on Exact Algorithmics, Pullman, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEb, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "12", month = apr, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mathematics Department, Temple University, Philadelphia, PA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEc, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "13", month = apr, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium as Thirteenth Annual Donald H. Clanton Visiting Mathematician, Furman University, Greenville, SC 29613, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:ITD, author = "Jonathan M. Borwein", title = "The Impact of Technology on the Doing of Mathematics", day = "13", month = apr, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Public Lecture as Donald H. Clanton Visiting Mathematician, Furman University, Greenville, SC 29613, USA.", URL = "http://docserver.carma.newcastle.edu.au/248/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEd, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "19", month = apr, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Western Australia, Crawley, WA 6009, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:MSa, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "24", month = may, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloque, Universit{\'e} des Antilles et de la Guyane, Guadeloupe.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:SNM, author = "Jonathan M. Borwein", title = "Some New Mean-Value Theorems", day = "29", month = may, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloque, Universit{\'e} des Antilles et de la Guyane, Guadeloupe.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:GPG, author = "Jonathan M. Borwein", title = "Generic Properties of Generalized Gradients", day = "31", month = may, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloque, Universit{\'e} des Antilles et de la Guyane, Guadeloupe.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:MNI, author = "Jonathan M. Borwein", title = "Math{\'e}matiques numerique et informatique", day = "2", month = jun, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conf{\'e}rence, 5ieme Colloque de l'IREM (Institut de recherche sur l'enseignement des math{\'e}matiques) Antilles-Guyane, Guadeloupe.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:CII, author = "Jonathan M. Borwein", title = "{CEIC--IMU} Initiatives", day = "10", month = jun, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CMS special session on Mathematics on the Internet, II (MOTI-2), CMS Year 2000 Summer Meeting, Hamilton, ON, Canada, June 10--13.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:NCMb, author = "Jonathan M. Borwein", title = "Numerical and Computational Mathematics at the Undergraduate Level", day = "17", month = jun, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture, Pacific Northwest Sectional MAA Meeting, University of British Columbia, Vancouver, BC, Canada, 16--17 June.", URL = "http://docserver.carma.newcastle.edu.au/246/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMOa, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Other Good Stuff", day = "13--14", month = jul, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Four Hour Lecture Series, Canada--US Mathcamps, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:GBG, author = "Jonathan M. Borwein", title = "The Generic Behaviour of Generalized Gradients", day = "19", month = jul, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Third World Congress of Nonlinear Analysts, Special session on ``Variational Analysis and Optimization'', July 19--25, 2000, Catania, Italy.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:TPS, author = "Jonathan M. Borwein", title = "Tools for (Partially) Smooth Variational Analysis", day = "25", month = jul, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Third World Congress of Nonlinear Analysts, Plenary Lecture, July 19--25, 2000, Catania, Italy.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEe, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "4", month = oct, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium at GSF-Forschungszentrum Inst. f{\"u}r Biomathematik und Biometriei, University of Munich, M{\"u}nchen, Germany.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEf, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "5", month = oct, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "{Ernst Schr{\"o}dinger} Lecture, Schr{\"o}dinger Institute, University of Vienna, Vienna, Austria.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMOb, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Other Good Stuff", day = "17", month = oct, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Science One Presentation, University of British Columbia, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:MSb, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "2", month = nov, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mathematics Department, Michigan State University, East Lansing, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:UWH, author = "Jonathan M. Borwein", title = "The use of wireless and handheld devices in telelearning", day = "5", month = nov, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Panel, Telelearning Annual Meeting, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEg, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "27", month = nov, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Coimbra, Coimbra, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:EMEh, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "28", month = nov, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Lisbon, Lisbon, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2000:MSI, author = "Jonathan M. Borwein", title = "Multivariable sinc integrals and volumes of convex polyhedra", day = "10", month = dec, year = "2000", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Classical and Computational Analysis, Canadian Mathematical Society Winter Meeting, Vancouver, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:MSIa, author = "Jonathan M. Borwein", title = "Multivariable sinc integrals and volumes of convex polyhedra", day = "10", month = jan, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Series and Integrals, Combined Mathematics Meetings, New Orleans, LA, USA, January 9--13.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:AWMa, author = "Jonathan M. Borwein", title = "Aesthetics for the Working Mathematician", day = "18", month = apr, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Public Lecture at Queen's University Symposium on Beauty and the Mathematical Beast, April 18--19, Kingston, ON, Canada.", URL = "http://docserver.carma.newcastle.edu.au/150/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:MET, author = "Jonathan M. Borwein", title = "Maximum Entropy-Type Methods and Convex Programming", day = "17", month = may, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on New Approaches to the Phase Problem, Lawrence Berkeley National Laboratory, Berkeley, CA, USA, May 17--19 (replaced by poster).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:EMI, author = "Jonathan M. Borwein", title = "Exploring Math on the Internet", day = "28", month = jun, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Esso-CMS-PIMS Math Camp, (9.00--12.00), Simon Fraser University, Burnaby, BC, Canada, June 25--29.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:IMU, author = "Jonathan M. Borwein", title = "The {International Math Union}'s Electronic Initiatives --- and {WestGrid}", day = "27", month = jul, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CECM01 Summer Conference, Analysis, Computation and Communication Simon Fraser, July 27--28.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:MSIb, author = "Jonathan M. Borwein", title = "Multivariable sinc integrals and volumes of convex polyhedra", day = "16", month = aug, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:AWMb, author = "Jonathan M. Borwein", title = "Aesthetics for the Working Mathematician", day = "20", month = aug, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Mathematics Seminar, University of New South Wales, Sydney, NSW, Australia.", URL = "http://docserver.carma.newcastle.edu.au/150/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:AWMc, author = "Jonathan M. Borwein", title = "Aesthetics for the Working Mathematician", day = "21", month = aug, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Colloquium, Macquarie University, Sydney, NSW, Australia.", URL = "http://docserver.carma.newcastle.edu.au/150/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:EMEa, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "21", month = aug, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Number Theory Seminar, Macquarie University, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:FIW, author = "Jonathan M. Borwein", title = "The {International Mathematical Union}'s Electronic Initiatives", day = "25", month = sep, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First International Workshop on Mathematical Knowledge Management, Sept 24--26, RISC Linz, Austria.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:MSIc, author = "Jonathan M. Borwein", title = "Multivariable sinc integrals and volumes of convex polyhedra", day = "22", month = oct, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ALGO Seminar, INRIA --- Rocquencourt, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:DSS, author = "Jonathan M. Borwein", title = "{Dirichlet} Series of Squares of Sums of Squares", day = "22", month = oct, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ALGO Seminar, INRIA --- Rocquencourt, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:EMEb, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "23", month = oct, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Distinguished Visitor Colloquium, INRIA --- Rocquencourt, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:EMEc, author = "Jonathan M. Borwein", title = "Experimental Mathematics and Exact Computation", day = "24", month = oct, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Limoges, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:CMCb, author = "Jonathan M. Borwein", title = "Challenges in Mathematical Computing --- Why Math is Still Hard", day = "2", month = nov, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MAA Seaway Sectional Meeting, after dinner lecture, Brock University, St. Catharines, ON, Canada, November 2--3, 2001.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:COM, author = "Jonathan M. Borwein", title = "Collaborative online mathematics: wishing and hoping", day = "15", month = nov, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture, Fields Institute Workshop on Online Mathematics, November 15--17, 2001.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2001:AWMd, author = "Jonathan M. Borwein", title = "Aesthetics for the Working Mathematician", day = "9", month = dec, year = "2001", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on History of Mathematics, CMS Winter Meeting, Toronto, ON, Canada, December 8--10, 2001.", URL = "http://docserver.carma.newcastle.edu.au/150/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:IMU, author = "Jonathan M. Borwein", title = "The {International Mathematical Union}'s Electronic Initiatives", day = "16", month = feb, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Managing digital information in mathematics: From journals to the gray literature. during the Fourth Annual CEIC Meeting, Vancouver Wosk Centre, Vancouver, BC, Canada, February 15--17, 2001.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:WMSa, author = "Jonathan M. Borwein", title = "Why Math is (Still) Hard: Challenges for Mathematical Computing", day = "20", month = mar, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Distinguished Visitors Colloquium, Wayne State, Detroit, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:MMF, author = "Jonathan M. Borwein", title = "Mathematical Marvels: Fields of Dreams", day = "26", month = mar, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Simon Fraser series A Passion For Excellence, on the Nobel and like Prizes.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:WMSb, author = "Jonathan M. Borwein", title = "Why Math is (Still) Hard: Challenges for Mathematical Computing", day = "22", month = apr, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Centre de Recherches Math{\'e}matiques, Montreal, QC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:DMFa, author = "Jonathan M. Borwein", title = "Differentiability of monotone functions on separable {Banach} space", day = "4", month = may, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Spring 2002 West Coast Optimization Meeting, Burnaby Mountain Campus, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:DSSa, author = "Jonathan M. Borwein", title = "{Dirichlet} series for squares of sums of squares", day = "22", month = may, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture at Seventh Canadian Number Theory Association Conference at CRM, May 19--25, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:EMPa, author = "Jonathan M. Borwein", title = "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof", day = "26", month = may, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture at 25th Anniversary Meeting of the Canadian Math Educators Study Group (CMESG), Queen's University, Kingston, ON, May 25--29, 2002.", URL = "http://docserver.carma.newcastle.edu.au/264/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:EMPb, author = "Jonathan M. Borwein", title = "The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof", day = "27", month = may, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Response and Discussion, 25th Anniversary Meeting of the Canadian Math Educators Study Group (CMESG), Queen's University, Kingston, ON, Canda, May 25--29, 2002.", URL = "http://docserver.carma.newcastle.edu.au/264/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:BMO, author = "Jonathan M. Borwein", title = "{Bregman} Monotone Optimization Methods and Related Convex Functions", day = "16", month = jul, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, IV Brazilian Workshop on Continuous Optimization, IMPA, Rio de Janeiro, Brazil, July 15--20, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:EMCa, author = "Jonathan M. Borwein", title = "The Experimental Mathematician: A Computational Guide to the Mathematical Unknown", day = "17--19", month = aug, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture at The First International Congress of Mathematical Software, Beijing, China, August 17--19, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:IWC, author = "Jonathan M. Borwein", title = "Introduction to the work of the {CEIC}", day = "26", month = aug, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Electronic Information Afternoon at the ICM, Beijing, August 20--27, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:NFY, author = "Jonathan M. Borwein", title = "The Next Four Years", day = "29", month = aug, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Invited Lecture at ICM Satellite Meeting on Electronic Information and Communication in Mathematics, Beijing, China, August 29--31, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:DLM, author = "Jonathan M. Borwein", title = "The Digital Library of Mathematics", day = "31", month = aug, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation at ICM Satellite Meeting on Electronic Information and Communication in Mathematics, Beijing, August 29--31, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:WMD, author = "Jonathan M. Borwein", title = "Welcome to the Mathematics of Dynamic {SPECT}", day = "21", month = sep, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Exploring the Frontiers of Dynamic SPECT, Wall Institute, University of British Columbia, Vancouver, BC, Canada, September 20--23, 2002.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:DSSb, author = "Jonathan M. Borwein", title = "{Dirichlet} series for squares of sums of squares", day = "18", month = oct, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Discrete Mathematics Seminar, University of Calgary, Calgary, AB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:CNF, author = "Jonathan M. Borwein", title = "The {CEIC}: The Next Four Years", day = "2", month = nov, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "West Coast Optimization Fall Meeting, University of Washington, Seattle, WA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:DMFb, author = "Jonathan M. Borwein", title = "Differentiability of monotone functions on separable {Banach} space", day = "13", month = nov, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nonlinear Analysis Seminar, University of Pau, 64012 Pau, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:EMCb, author = "Jonathan M. Borwein", title = "The Experimental Mathematician: A Computational Guide to the Mathematical Unknown", day = "14", month = nov, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Numerical Analysis Seminar, University of Pau, 64012 Pau, France.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2002:DEM, author = "Jonathan M. Borwein", title = "Digitizing the entire mathematical literature: what wild surmise!", day = "9", month = dec, year = "2002", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CMS Special Session on History of Mathematics, Ottawa, December 8--10, 2002. (Also presented to CISTI Board, December 6th.).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:DM, author = "Jonathan M. Borwein", title = "Discovery in Mathematics", day = "24", month = jan, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Special Functions in the Digital Age, Simon Fraser University, January 23--24, 2003, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:DSF, author = "Jonathan M. Borwein", title = "The Department", day = "26", month = feb, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LRPa, author = "Jonathan M. Borwein", title = "The long range plan for high-end computing in {Canada}", day = "3", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Vancouver `town hall` meeting, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LRPb, author = "Jonathan M. Borwein", title = "The long range plan for high-end computing in {Canada}", day = "10", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Victoria `town hall' meeting, University of Victoria, Victoria, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:FNA, author = "Jonathan M. Borwein", title = "The {Fields}, {Nevanlinna} and {Abel Prizes}: Chasing the Mathematical Prize", day = "13", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "In lecture series ''Recognizing Excellence. The Nobels and Other Prizes'', Series, SFU Harbour Centre, Burnaby, BC, Canada, 2003.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPa, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "14", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Pi Day Open House, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPb, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "24", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Frontiers of Mathematics, Lecture Series, Texas A\&M University, March 22--27, 2003.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:EMPa, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics: {Part I}", day = "25", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Frontiers of Mathematics, Lecture Series, Texas A\&M University, College Station, TX, USA, March 22--27, 2003.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:EMPb, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics: {Part II}", day = "26", month = mar, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Frontiers of Mathematics, Lecture Series, Texas A\&M University, College Station, TX, USA, March 22--27, 2003.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:EM, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics", day = "28", month = apr, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie University, Faculty of Computing Science Colloquium, 2003, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:CHC, author = "Jonathan M. Borwein", title = "{Canadian Highend Computing Initiatives}", day = "30", month = apr, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "NRC-CISTI Presentation, CISTI Advisory Board, Fredericton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:OWL, author = "Jonathan M. Borwein", title = "Official {WestGrid} Launch", day = "8", month = may, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Vancouver MC, NewMIC, Edmonton, Calgary, Ottawa.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:BMP, author = "Jonathan M. Borwein", title = "Bringing Math to the Public", day = "18", month = may, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Panel Moderator, CMS National School Math Forum, May 16--18, Montreal, QC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:NNM, author = "Jonathan M. Borwein", title = "Nurturing New Mathematicians: Some Advice on Advising", day = "13", month = jun, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation at Panel on Supervision, Project NexTMAC, CMS 2003 Summer Meeting, University of Alberta, Edmonton, Alberta.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:MEPa, author = "Jonathan M. Borwein", title = "Mathematics by Experiment: Plausible Reasoning in the 21st Century", day = "25", month = jun, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Adelaide, SA, Australia.", URL = "http://docserver.carma.newcastle.edu.au/272/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:EMC, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics: Computational Paths to Discovery", day = "27", month = jun, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Adelaide, Adelaide, SA, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPc, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "1", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of South Australia, Adelaide, SA, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPd, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "3", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Royal Melbourne Institute of Technology, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:HEI, author = "Jonathan M. Borwein", title = "Handling Electronic Issues in the International Mathematical Community", day = "7", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ICIAM 2003 Minisymposium, International Congress on Industrial and Applied Mathematics, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:ACGa, author = "Jonathan M. Borwein", title = "Advanced Collaboration and Grid Computation, {I}", day = "9", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ICIAM 2003 Mini-symposium, International Congress on Industrial and Applied Mathematics, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:ACGb, author = "Jonathan M. Borwein", title = "Advanced Collaboration and Grid Computation, {II}", day = "9", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ICIAM 2003 Mini-symposium, International Congress on Industrial and Applied Mathematics, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPe, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "15", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:ACFa, author = "Jonathan M. Borwein", title = "The {AGM} Continued Fraction of {Ramanujan}", day = "31", month = jul, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CECM Day 2003, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:OFV, author = "Jonathan M. Borwein", title = "A One Function Variational Principle", day = "10", month = sep, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Eighth Conference on Well-posedness and Stability of Optimization Problems, Marseilles, France, September 8--12.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:ACFb, author = "Jonathan M. Borwein", title = "The {AGM} Continued Fraction of {Ramanujan}", day = "16", month = sep, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary Lecture, First Congress of the Mathematical Society of South East Europe (MASSE{\'E}), Borovets, Bulgaria.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:WDM, author = "Jonathan M. Borwein", title = "The World Digital Mathematics Library", day = "16", month = sep, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session, First Congress of the Mathematical Society of South East Europe (MASSE{\'E}), Bulgaria.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:TOQ, author = "Jonathan M. Borwein", title = "Three Open Questions", day = "17", month = sep, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session in Honour of Petar Kenderov's 60th Birthday, First Congress of the Mathematical Society of South East Europe (MASSE{\'E}), Bulgaria.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPf, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "10", month = oct, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:ACFc, author = "Jonathan M. Borwein", title = "The {AGM} Continued Fraction of {Ramanujan}", day = "14", month = oct, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Reed College, OR, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:MEPb, author = "Jonathan M. Borwein", title = "Mathematics by Experiment: Plausible Reasoning in the 21st Century", day = "21", month = oct, year = "2003", bibdate = "Tue Jan 03 08:13:52 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "98 lecture slides from the Royal Society Lecture Series. Simon Fraser University, Burnaby, BC, Canada.", URL = "http://www.lacim.uqam.ca/~plouffe/articles/rsc-talk", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:MEPc, author = "Jonathan M. Borwein", title = "Mathematics by Experiment: Plausible Reasoning in the 21st Century", day = "23", month = oct, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Northern British Columbia, Prince George, BC, Canada.", URL = "http://docserver.carma.newcastle.edu.au/272/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:LPg, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "30", month = oct, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Regina, Regina, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:MEPd, author = "Jonathan M. Borwein", title = "Mathematics by Experiment: Plausible Reasoning in the 21st Century", day = "30", month = oct, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Saskatchewan, Saskatoon, SK, Canada.", URL = "http://docserver.carma.newcastle.edu.au/272/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2003:ACGc, author = "Jonathan M. Borwein", title = "Advanced Collaboration and Grid Computation", day = "27", month = nov, year = "2003", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to the SFU Board of Governors, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACGa, author = "Jonathan M. Borwein", title = "Advanced Collaboration and Grid Computation", day = "6", month = jan, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, North American Knowledge Management Meeting, Phoenix, AZ, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:EMa, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics", day = "28", month = jan, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Graduate Seminar, Mathematics Department, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACGb, author = "Jonathan M. Borwein", title = "Advanced Collaboration and Grid Computation", day = "29", month = jan, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:RACa, author = "Jonathan M. Borwein", title = "{Ramanujan}'s {AGM} Continued Fractions and Dynamics: the real case", day = "4", month = mar, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mathematics Department, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:RACb, author = "Jonathan M. Borwein", title = "{Ramanujan}'s {AGM} Continued Fractions and Dynamics: the complex case", day = "10", month = mar, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, Mathematics Department, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:MS, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "11", month = mar, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Informal AARMS Workshop, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACGc, author = "Jonathan M. Borwein", title = "Advanced Collaboration and Grid Computation", day = "12", month = mar, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Informal AARMS Workshop, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:EMb, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics", day = "29", month = mar, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Opening Lecture, Workshop on Experimental Mathematics, Oakland, CA, USA, March 29--30.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:DMO, author = "Jonathan M. Borwein", title = "Decomposition of Monotone Operators", day = "5", month = apr, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Control, Set-Valued Analysis and Applications University of French Antilles and Guyana, April 5--8.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:EMc, author = "Jonathan M. Borwein", title = "Experimentation in Mathematics", day = "8", month = may, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, East Coast Computer Algebra Day, Wilfred Laurier University, Waterloo, ON N2L 3C5, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:SFV, author = "Jonathan M. Borwein", title = "A Single Function Variational Principle and Applications", day = "14", month = may, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Large Scale Nonlinear and Semidefinite Programming Workshop, University of Waterloo, ON, Canada, May 12--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ME, author = "Jonathan M. Borwein", title = "Mathematics by Experiment", day = "2", month = jun, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Opening Lecture, Discovery by Computer GERAD-DIMACS Workshop, Montreal, June 2--5.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACCa, author = "Jonathan M. Borwein", title = "Advanced Computing in {Canada}", day = "13", month = jun, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentations on the Long Range Plan for Advanced Computing in Canada to the CMS Development Group and to the Board, CMS Summer Meeting, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:DBM, author = "Jonathan M. Borwein", title = "{David Borwein} and Me: a Chronology", day = "14", month = jun, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CMS Summer Meeting, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:PRCa, author = "Jonathan M. Borwein", title = "Plausible Reasoning in the 21st Century {I} \& {II}", day = "25", month = jun, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "NSF Undergraduate Research Experience Lectures, Clemson University, Clemson, SC, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACEa, author = "Jonathan M. Borwein", title = "Advanced Collaborative Environments and the Access Grid", day = "28", month = jun, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "4th European Math Congress, Stockholm, Sweden (delivered by Alf van der Poorten).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:PRCb, author = "Jonathan M. Borwein", title = "Plausible Reasoning in the 21st Century", day = "9", month = jul, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Regular Lecture, ICME10, Copenhagen, Denmark, July 5--11.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:WC, author = "Jonathan M. Borwein", title = "The work of the {CEIC}", day = "9", month = jul, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to ICMI General Assembly, ICME10, Copenhagen, Denmark, July 5--11.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:BSCa, author = "Jonathan M. Borwein", title = "Bumps, Slices and Cusps", day = "15", month = jul, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture on Nonsmooth Analysis, First Franco--Canadian Math Meeting, Toulouse, France, July 12--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:RACc, author = "Jonathan M. Borwein", title = "{Ramanujan}'s {AGM} Continued Fractions and Dynamics", day = "27", month = aug, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Analytic and Computational Number Theory, August 23--27, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:BSCb, author = "Jonathan M. Borwein", title = "Bumps, Slices and Cusps", day = "11", month = sep, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Sixth Midwest Optimization Seminar, Plenary Talk, Wayne State University, Detroit, MI, USA, September 11.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:PRCc, author = "Jonathan M. Borwein", title = "Plausible Reasoning in the 21st Century", day = "1", month = oct, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, St Francis Xavier University, Antigonish, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACEb, author = "Jonathan M. Borwein", title = "Advanced Collaborative Environments", day = "1", month = oct, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, St Francis Xavier University, Antigonish, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:PRCd, author = "Jonathan M. Borwein", title = "Plausible Reasoning in the 21st Century", day = "4", month = oct, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Acadia Symposium on Modelling and Computation, Acadia University, Wolfville, NS B4P 2R6, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:PRCe, author = "Jonathan M. Borwein", title = "Plausible Reasoning in the 21st Century", day = "24", month = oct, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Maritime Teachers Association, New Glasgow, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ASC, author = "Jonathan M. Borwein", title = "Advanced Scientific Collaboration Environments and the Access Grid", day = "4", month = nov, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Computer Science Colloquium, University of Saskatchewan, Saskatoon, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACCb, author = "Jonathan M. Borwein", title = "Advanced Computing in {Canada}", day = "4", month = nov, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentations on the Long Range Plan for {HPC} in {Canada}, University of Saskatchewan, Saskatoon, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ACCc, author = "Jonathan M. Borwein", title = "Advanced Computing in {Canada}", day = "5", month = nov, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentations on the Long Range Plan for {HPC} in {Canada}, University of Saskatchewan, Saskatoon, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:SMA, author = "Jonathan M. Borwein", title = "Surprise Maximization: Avoiding a Paradox", day = "5", month = nov, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Colloquium, University of Saskatchewan, Saskatoon, SK, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:ED, author = "Jonathan M. Borwein", title = "Engines of Discovery: The Long Range Plan for {HPC} in {Canada}", day = "8", month = nov, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Dalhousie Faculty of Computer Science, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:AGMb, author = "Jonathan M. Borwein", title = "The {Atlantic} Gateway to Mathematics", day = "4", month = dec, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First AGATE-M Annual Conference, Mount Allison University, Sackville, NB, Canada, December 3--4.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:IEM, author = "Jonathan M. Borwein", title = "Implications of Experimental Mathematics for the Philosophy of Mathematics", day = "12", month = dec, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CMS Winter Meeting, Session on History of Mathematics, McGill University, Montreal, QC, Canada.", URL = "http://docserver.carma.newcastle.edu.au/280/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2004:AGMc, author = "Jonathan M. Borwein", title = "The {Atlantic} Gateway to Mathematics", day = "16", month = dec, year = "2004", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to Nova Scotia Provincial Mathematics Team Meeting.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:DSC, author = "Jonathan M. Borwein", title = "Dynamics of some continued fractions originating with {Ramanujan}", day = "6", month = jan, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Dynamical Systems, Combined Mathematics Meetings, Atlanta, GA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MEM, author = "Jonathan M. Borwein", title = "Maximum Entropy Methods and (Non-) convex Programming", day = "7", month = jan, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Nonsmooth Analysis and Imaging, Combined Mathematics Meetings, Atlanta, GA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:PIEa, author = "Jonathan M. Borwein", title = "Philosophical Implication of Experimental (Computational) Mathematics", day = "7", month = jan, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Philosophy of Mathematics, Invited Presentation, MAA, Atlanta, GA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:PIEb, author = "Jonathan M. Borwein", title = "Philosophical Implication of Experimental (Computational) Mathematics", day = "26", month = jan, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Honours Seminar, Mathematics Department, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:LGC, author = "Jonathan M. Borwein", title = "The {LRP}, Grid Computing and {ACE}'s", day = "2", month = mar, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie Senate Computing and Information Technology Planning Committee (SCITPC) Presentation, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MEa, author = "Jonathan M. Borwein", title = "Mathematics by Experiment", day = "3", month = mar, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie Math Circles --- for High Schools, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MEb, author = "Jonathan M. Borwein", title = "Mathematics by Experiment, {I}", day = "31", month = mar, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Clifford Lecture, Tulane University, New Orleans, LA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MEI, author = "Jonathan M. Borwein", title = "Mathematics by Experiment, {II}", day = "1", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Second Clifford Lecture, Tulane University, New Orleans, LA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:TTC, author = "Jonathan M. Borwein", title = "(2 times) Ten Challenge Problems", day = "1", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Third Clifford Lecture, Tulane University, New Orleans, LA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:ATS, author = "Jonathan M. Borwein", title = "Ap{\'e}ry-type Series: a Case Study", day = "2", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Fourth Clifford Lecture, Tulane University, New Orleans, LA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EMW, author = "Jonathan M. Borwein", title = "{East} meets {West}: Collaboration goes National", day = "8", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Delivered over the Access Grid to the opening of IRMACS at Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:ADL, author = "Jonathan M. Borwein and John Ball", title = "Access to the Digitized Literature", day = "15", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MSRI Workshop on Digitizing Mathematics, April 15--17, Berkeley, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:DC, author = "Jonathan M. Borwein", title = "The Digital Congress", day = "20", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Site visit presentation, Canadian bid to hold ICM 2010 in Montreal, QC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WDD, author = "Jonathan M. Borwein", title = "What is {D-DRIVE}?", day = "27", month = apr, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Exhibit and presentation, Dymaxion Exchange, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:FH, author = "Jonathan M. Borwein", title = "The Future is Here?", day = "6", month = may, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to National Educational Forum, Fields Institute, Toronto, ON M5T 3J1, Canada, May 6--8.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:HPMa, author = "Jonathan M. Borwein", title = "High Performance Mathematics", day = "16", month = may, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary, HPCS05, Guelph, ON, Canada, May 15--18, 2005.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EDLa, author = "Jonathan M. Borwein", title = "Engines of Discovery: the Long Range Plan for {HPC} in {Canada}", day = "17", month = may, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to HPCS05, May 15--18, 2005.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EDLb, author = "Jonathan M. Borwein", title = "Engines of Discovery: the Long Range Plan for {HPC} in {Canada}", day = "27", month = may, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to ACOA, Halifax, NS.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EDLc, author = "Jonathan M. Borwein", title = "Engines of Discovery: the Long Range Plan for {HPC} in {Canada}", day = "31", month = may, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to NSERC Executive VP, Ottawa, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EDLd, author = "Jonathan M. Borwein", title = "Engines of Discovery: the Long Range Plan for {HPC} in {Canada}", day = "27", month = may, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to NRC President, Ottawa.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:HPMb, author = "Jonathan M. Borwein", title = "High Performance Mathematics", day = "10", month = jun, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to HPC@Dal, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:HPMc, author = "Jonathan M. Borwein", title = "High Performance Mathematics", day = "10", month = jun, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to Media Light Paths project `kick off', June 10, 2005.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:HPMd, author = "Jonathan M. Borwein", title = "High Performance Mathematics", day = "14", month = jun, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, Ontario R\&E Summit, Toronto, ON, Canada, June 13--14, 2005.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:RB, author = "Jonathan M. Borwein", title = "Reality Bytes", day = "16", month = jun, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Joint German-Austrian-AMS Meeting, Mainz, Germany, June 16--19, 2005. (Given by Martin Groetschel).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:SEC, author = "Jonathan M. Borwein", title = "Symbolic and Experimental Computation", day = "12", month = jul, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Shad Valley Afternoon in D-DRIVE.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WHPa, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics", day = "19", month = jul, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Shad Valley Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EDLe, author = "Jonathan M. Borwein", title = "Engines of Discovery: the Long Range Plan for {HPC} in {Canada}", day = "15", month = aug, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to Industry Canada, Ottawa, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:HIW, author = "Jonathan M. Borwein", title = "{Hilbert}'s Inequality and {Witten}'s Zeta", day = "25", month = aug, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Trans Canada Computational Science Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MOCa, author = "Jonathan M. Borwein", title = "Monotone operators as convex objects", day = "8", month = sep, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "6th Stability Workshop, Borevetz, Bulgaria, September 5--9.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:VOMa, author = "Jonathan M. Borwein", title = "Visualisation and Other Mathematical Learning Tools", day = "13", month = sep, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "TransCanada Computational Science Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MOCb, author = "Jonathan M. Borwein", title = "Monotone operators as convex objects", day = "25", month = sep, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote talk, Fitzpatrick Memorial Meeting, Perth, WA, Australia, September 25th.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WHPb, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics", day = "26", month = sep, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary Lecture, Australian Math Society Meetings, Perth, WA, Australia, September 26--30th.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:VOMb, author = "Jonathan M. Borwein", title = "Visualisation and Other Mathematical Learning Tools", day = "28", month = sep, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Lecture to Teachers, Australian Math Society Meetings, Perth, WA, Australia, September 26--30th.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:LPa, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "3", month = oct, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium: University of Melbourne, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:LPb, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "4", month = oct, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium: La Trobe University, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EMPb, author = "Jonathan M. Borwein", title = "Experimental Mathematics and its Philosophical Implications", day = "5", month = oct, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Australian Mathematical Sciences Institute, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WHPc, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics?", day = "13", month = oct, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Math and Stats, Western Michigan University, Kalamazoo, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MOCc, author = "Jonathan M. Borwein", title = "Monotone operators as convex objects", day = "14", month = oct, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote Address, 6th Midwest Optimization Meeting, Kalamazoo, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:CLC, author = "Jonathan M. Borwein", title = "Computational Lists and Challenges in Mathematics?", day = "28", month = oct, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied and Computational Mathematics Seminar, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:AP, author = "Jonathan M. Borwein", title = "``{AARMS}'' Presentation", day = "1", month = nov, year = "2005", bibdate = "Tue Aug 16 12:39:24 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Department of Math and Stats, University of New Brunswick, Fredericton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WHPd, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics?", day = "1", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Math and Stats, University of New Brunswick, Fredericton.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:VOT, author = "Jonathan M. Borwein", title = "Visualization and other tools for mathematics", day = "9", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Statistics and Operations Research Department, University of North Carolina.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:LCM, author = "Jonathan M. Borwein", title = "Lists and Challenges in Mathematics?", day = "10", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mathematics Department, Rutgers, the State University of New Jersey.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:VOMc, author = "Jonathan M. Borwein", title = "Visualisation and Other Mathematical Learning Tools", day = "15", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie Math Circles--for High Schools.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:A, author = "Jonathan M. Borwein", title = "AARMS", day = "17", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation, Department of Math and Stats, Memorial University, St John's, NL, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:GV, author = "Jonathan M. Borwein", title = "32 {Goldbach} Variations", day = "18", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MOCd, author = "Jonathan M. Borwein", title = "Monotone operators as convex objects", day = "23", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Lisbon, Lisbon, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WHPe, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics", day = "25", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Aviero, Aveiro, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:MS, author = "Jonathan M. Borwein", title = "Maximizing Surprise", day = "25", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, University of Aviero, Centre for Studies on Optimization and Control, Aveiro, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:EMPc, author = "Jonathan M. Borwein", title = "Experimental Mathematics and its Philosophical Implications", day = "26", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Dias Abertos, University of Porto, Porto, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2005:WHPf, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics?", day = "28", month = nov, year = "2005", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Lisbon, Lisbon, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:FL, author = "Jonathan M. Borwein", title = "First Lecture", day = "10", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MAA Shortcourse on Experimental Mathematics, San Antonio, TX, USA.", acknowledgement = ack-nhfb, } @Unpublished{xxx-00411, author = "Jonathan M. Borwein", title = "Final Lecture", day = "11", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "MAA Shortcourse on Experimental Mathematics, San Antonio, TX, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:AMO, author = "Jonathan M. Borwein and H. Wiersma", title = "Acyclic Monotone Operators", day = "20", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Atlantic Analysis Days, January 20--21, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:CAD, author = "Jonathan M. Borwein", title = "Computer-assisted discovery and proof of generating functions for zeta functions", day = "21", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Atlantic Analysis Days, January 20--21, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:MOCa, author = "Jonathan M. Borwein", title = "Monotone operators as convex objects", day = "30", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Optimization Seminar, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:WHPa, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics?", day = "30", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:DSC, author = "Jonathan M. Borwein", title = "Dynamics of some continued fractions originating with {Ramanujan}", day = "31", month = jan, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Number Theory Seminar, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:WHPb, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics?", day = "3", month = mar, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Colloquium, Acadia University, Wolfville, NS B4P 2R6, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:ACEa, author = "Jonathan M. Borwein", title = "Advanced Collaborative Environments and Tools", day = "6", month = mar, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Intelligent Computing, Dalhousie, March 6--7, 2006.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:LP, author = "Jonathan M. Borwein", title = "Life of Pi", day = "13", month = mar, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mona Campus, University of the West Indies, Kingston, Jamaica.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:HPMa, author = "Jonathan M. Borwein", title = "High Performance Mathematics in {Maple}", day = "24", month = mar, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, MapleSoft, Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:ED, author = "Jonathan M. Borwein", title = "Engines of Discovery: the Long Range Plan for {HPC} in {Canada}", day = "12", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to NSERC President and Senior Administrators, Ottawa.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:MOCb, author = "Jonathan M. Borwein", title = "Monotone operators as convex objects", day = "19", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, Mathematics of Optimization and Decision, Guadeloupe, April 18--21, 2006.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:FLVa, author = "Jonathan M. Borwein", title = "Four Lectures on Variational Principles. {I}: Bumps, Cusps and Slices", day = "24", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Spring School on Analysis, Paseky, Czech Republic.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:FLVb, author = "Jonathan M. Borwein", title = "Four Lectures on Variational Principles. {II}: Monotone operators as Convex Objects", day = "25", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Spring School on Analysis, Paseky, Czech Republic", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:FLVc, author = "Jonathan M. Borwein", title = "Four Lectures on Variational Principles. {III}: Decompositions of Monotone Operators", day = "26", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Spring School on Analysis, Paseky, Czech Republic", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:WHPc, author = "Jonathan M. Borwein", title = "What is High Performance Mathematics?", day = "26", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Spring School on Analysis, Paseky, Czech Republic.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:FLVd, author = "Jonathan M. Borwein", title = "Four Lectures on Variational Principles. {IV}: {Chebyshev} Sets and Proximality", day = "28", month = apr, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Spring School on Analysis, Paseky, Czech Republic.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:EEBa, author = "Jonathan M. Borwein", title = "Effective Error Bounds for {Euler--Maclaurin}-Based Quadrature Schemes", day = "16", month = may, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "HPCS 06, Memorial University, St John's, NL, Canada.", URL = "http://docserver.carma.newcastle.edu.au/297/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:CE, author = "Jonathan M. Borwein", title = "Collaborative Environments", day = "17", month = may, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Panel Discussion HPCS 06, Memorial University, St John's, NL, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:MPR, author = "Jonathan M. Borwein", title = "Mathematics and Plausible Reasoning", day = "24", month = may, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ISM, Graduate Student Conference, Laval, QC, Canada. May 23--25, 2006.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:EEBb, author = "Jonathan M. Borwein", title = "Effective Error Bounds for {Euler--Maclaurin}-Based Quadrature Schemes", day = "26", month = may, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Computer Science Seminar, University of Saskatchewan, Saskatoon, SK, Canada.", URL = "http://docserver.carma.newcastle.edu.au/297/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:ACEb, author = "Jonathan M. Borwein", title = "Advanced Collaborative Environments", day = "30", month = may, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Symposium on the Computer: the once and future medium for the social sciences and humanities, York University, Toronto, ON, Canada, May 30.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:HPMb, author = "Jonathan M. Borwein", title = "High Performance Mathematics and its Management", day = "16", month = jun, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Information Technology Laboratory, NIST, Washington, DC, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:ACEc, author = "Jonathan M. Borwein", title = "Advanced Collaborative Environments", day = "28", month = jun, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to Canadian International Olympiad Team, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:LRP, author = "Jonathan M. Borwein", title = "The long-range plan for advanced computing in {Canada}", day = "28", month = sep, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to Petter Nicholson, President Council of Canadian Academies (CCA), Ottawa, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:MEM, author = "Jonathan M. Borwein", title = "Maximum Entropy Methods and (Non-) convex Programming", day = "5", month = oct, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary talk Atlantic Optimization Days, Fredericton, NB, Canada, Oct 5--6.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:NDT, author = "Jonathan M. Borwein", title = "Notes from, the digital trenches: the work of the {CEIC}", day = "10", month = oct, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "C2C Seminar, from D-DRIVE.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:EMEa, author = "Jonathan M. Borwein", title = "Experimental Math and Extreme Quadrature, {I}", day = "25", month = oct, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, D-DRIVE, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:EMEb, author = "Jonathan M. Borwein", title = "Experimental Math and Extreme Quadrature, {II}", day = "1", month = nov, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, D-DRIVE, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:BP, author = "Jonathan M. Borwein", title = "Backing up the planet", day = "25", month = nov, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview on Quirks and Quarks, CBC Radio One.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:HPMc, author = "Jonathan M. Borwein", title = "High Performance Mathematics and its Management", day = "27", month = nov, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Math and Stats, York University, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:HPMd, author = "Jonathan M. Borwein", title = "High Performance Mathematics and its Management", day = "3", month = dec, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, AMSI Access Grid Conference, La Trobe University, Melbourne, VIC, Australia (given over Access Grid).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:HPMe, author = "Jonathan M. Borwein", title = "High Performance Mathematics and its Management", day = "8", month = dec, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IMA Hot Topics Workshop, The Evolution of Mathematical Communication in the Age of Digital Libraries, December 8--9.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2006:MSM, author = "Jonathan M. Borwein", title = "Maximality of Sums of Monotone Operators", day = "10", month = dec, year = "2006", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Functional Analysis.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:CAD, author = "Jonathan M. Borwein", title = "Computer-assisted Discovery and Proof of Generating Functions for {Riemann}'s Zeta", day = "5", month = jan, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Lecture, MAA Special Session on Experimental Mathematics.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:ELAb, author = "Jonathan M. Borwein", title = "Effective {Laguerre} Asymptotics, {I}", day = "30", month = jan, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie Analysis Seminar, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:BLS, author = "Jonathan M. Borwein", title = "The Book of {Lawrence}: a Serious Satire", day = "4", month = feb, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation, Halifax Unitarian Universalist Assembly, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:APP, author = "Jonathan M. Borwein", title = "{AARMS}: Past, Present and Future", day = "5", month = feb, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Math and Stats, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:CSR, author = "Jonathan M. Borwein and M. Macklem", title = "The {C2C} Seminar and Remote Mathematical Collaboration", day = "8", month = feb, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to e+Calculus Conference Lisbon, Portugal.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:WNW, author = "Jonathan M. Borwein", title = "What's New, What's Possible, What's Coming?", day = "10", month = feb, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie Open House, Dalhousie FCS, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:ELAc, author = "Jonathan M. Borwein", title = "Effective {Laguerre} Asymptotics, {II}", day = "14", month = feb, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dalhousie Analysis Seminar, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:LPT, author = "Jonathan M. Borwein", title = "The Life of Pi --- a Talk for Pi Day", day = "14", month = mar, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:FFS, author = "Jonathan M. Borwein", title = "Finding Funding in the Sciences", day = "29", month = mar, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interdisciplinary PhD Presentation, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:TCR, author = "Jonathan M. Borwein", title = "Three Convexity Results", day = "30", month = mar, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Second Annual AARMS Analysis Days, in honour of Tony Thompson, Dalhousie University, Halifax, NS, Canada, March 30--31.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:SS, author = "Jonathan M. Borwein", title = "Setting the Stage", day = "26", month = apr, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Opening presentation to Workshop on Math Knowledge Management: Sustainability, Scalability, and Interoperability, Dalhousie University, Halifax, NS, Canada, April 26--28, 2007.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:CSF, author = "Jonathan M. Borwein", title = "The {C2C} Seminar: Five Years of Experience with the {Access Grid}", day = "13---16", month = may, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "HPCS07, University of Manitoba, Winnipeg, MB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:SCR, author = "Jonathan M. Borwein", title = "Some convexity results a {Jon} or a {Thompson} might like", day = "8", month = jun, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "65th Birthday Colloquium lecture for Jon Thompson, (Inter-Campus Seminar Day), University of New Brunswick, Moncton, NB, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:IRW, author = "Jonathan M. Borwein", title = "Interdisciplinary research: What works, what doesn't", day = "12", month = jun, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote address, 2007 Faculty Research Day, Dalhousie Faculty of Management, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:CTH, author = "Jonathan M. Borwein", title = "Collaborative Technology: High Performance Mathematics and its Management", day = "12", month = jul, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AARMS\slash ACENet\slash MITAC Summer Workshop on High Performance Computing in the Mathematical Sciences, Acadia University, Wolfville, NS, July 9--12.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:EMA, author = "Jonathan M. Borwein", title = "Experimental Mathematics in Action", day = "16---20", month = jul, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Carleton College, Northfield, MN.", URL = "http://docserver.carma.newcastle.edu.au/1733/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:ECB, author = "Jonathan M. Borwein", title = "Effective Computation of {Bessel} Functions", day = "27", month = jul, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "8th Bluenose Numerical Analysis Days, St Marys University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:EMV, author = "Jonathan M. Borwein", title = "Experimental Mathematics with Variational Applications", day = "11", month = aug, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ICCOPT 2007, McMaster University, Hamilton, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:IEMa, author = "Jonathan M. Borwein", title = "Introduction to Experimental Mathematics", day = "19", month = sep, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Honours Seminar, Dalhousie Mathematics Department.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:IEMb, author = "Jonathan M. Borwein", title = "Introduction to Experimental Mathematics", day = "26", month = sep, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Okanagan Community College, Kelowna, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:SMFa, author = "Jonathan M. Borwein", title = "Some of my Favourite Convexity Results", day = "27", month = sep, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "OCANA Seminar, Department of Mathematics, Statistics and Physics, UBCO, Kelowna, BC.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:IEMc, author = "Jonathan M. Borwein", title = "Introduction to Experimental Mathematics: Insight through Computation", day = "28", month = sep, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interdisciplinary Colloquium, IRMACS, Simon Fraser University, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:IWW, author = "Jonathan M. Borwein", title = "Interdisciplinarity: what works, what doesn't", day = "23", month = oct, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:SMFb, author = "Jonathan M. Borwein", title = "Some of my Favourite Convexity Results", day = "25", month = oct, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Math Colloquium, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:EDPa, author = "Jonathan M. Borwein", title = "Experimental Discovery and Proof of Identities", day = "15", month = nov, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Chaitin 60th Birthday Symposium, IBM Watson Centre, Yorktown, NY, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:IEMd, author = "Jonathan M. Borwein", title = "Introduction to Experimental Mathematics: Insight through Computation", day = "16", month = nov, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Colloquium, Cornell University, Ithaca, NY, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:SMFc, author = "Jonathan M. Borwein", title = "Some of my Favourite Convexity Results", day = "19", month = nov, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Nonlinear Optimization Day, CORS and Ddrive, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:EDPb, author = "Jonathan M. Borwein", title = "Experimental Discovery and Proof of Generating Functions", day = "9", month = dec, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session on Algorithmic Challenges in Polynomial and Linear Algebra CMS Winter Meeting, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2007:MWN, author = "Jonathan M. Borwein", title = "Math: What's New, What's Possible, What's Coming?", day = "12", month = dec, year = "2007", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Talks to Grade nine and ten students at AB Lucas Secondary School, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:ECB, author = "Jonathan M. Borwein", title = "Effective Computation of {Bessel} Functions", day = "6", month = jan, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "SIAM-AMS Special Session on Special Functions, Combined Membership Meetings, San Diego, CA, USA, Jan 6--9, 2008.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:CCI, author = "Jonathan M. Borwein", title = "The computer as crucible: an introduction to experimental mathematics", day = "6", month = mar, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Physics Colloquium, University of Newcastle, Newcastle, NSW, Australia.", URL = "http://docserver.carma.newcastle.edu.au/1730/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:LPTa, author = "Jonathan M. Borwein", title = "Life of Pi: a Talk for Pi Day", day = "14", month = mar, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMSI Access Grid Colloquium, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:LPTb, author = "Jonathan M. Borwein", title = "Life of Pi: a Talk for Pi Day", day = "15", month = mar, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IRMACS Access Grid Colloquium, Simon Fraser University, Burnaby, BC, Canada, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:U, author = "Jonathan M. Borwein", title = "[untitled]", day = "21", month = apr, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CEIC Presentation to IMU Executive, Hungarian Academy of Science, Budapest, Hungary.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:PBR, author = "Jonathan M. Borwein", title = "{Peter Borwein} Revisited: A Brother's Retrospective", day = "14", month = may, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IRMACS Conference celebrating Peter Borwein's 55th Birthday, Simon Fraser University, Burnaby, BY, Canada, May 12--16, 2008.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:PCS, author = "Jonathan M. Borwein", title = "Proximality and {Chebyshev} sets", day = "3", month = jul, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.", URL = "http://docserver.carma.newcastle.edu.au/323/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:MWNa, author = "Jonathan M. Borwein", title = "Math: What's New, What's Possible, What's Coming?", day = "13", month = aug, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ICE-EM\slash ICE day from Victoria University, Melbourne VIC 3000, Australia, presented from Wollongong Access Grid Room.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:MEMa, author = "Jonathan M. Borwein", title = "My experiences with mathematical software", day = "20", month = aug, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Seminar, Department of Mathematics, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:MEMb, author = "Jonathan M. Borwein", title = "Maximum Entropy Methods for Inverse Problems", day = "29", month = sep, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematical Sciences, RMIT, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:CADa, author = "Jonathan M. Borwein", title = "Computer-assisted discovery and proof", day = "30", month = sep, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics and Statistics, University of Melbourne, Melbourne, VIC, Australia.", URL = "http://docserver.carma.newcastle.edu.au/338/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:MWNb, author = "Jonathan M. Borwein", title = "Math: What's New, What's Possible, What's Coming?", day = "1", month = oct, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematical Sciences, RMIT, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:CADb, author = "Jonathan M. Borwein", title = "Computer-assisted discovery and proof: {Part I}", day = "13", month = nov, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Australian National University, Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:CADc, author = "Jonathan M. Borwein", title = "Computer-assisted discovery and proof: {Part II}", day = "14", month = nov, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Australian National University, Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:FCVa, author = "Jonathan M. Borwein", title = "Future Challenges for Variational Analysis", day = "29", month = nov, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture (presented by Andrew Eberhard), Conference on Variational Analysis and Nonlinear Optimization, National Sun-Yat-Sen University, Kaohsiung, Taiwan, November 28--30.", URL = "http://docserver.carma.newcastle.edu.au/396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:PYM, author = "Jonathan M. Borwein", title = "The past 60 years in Mathematics", day = "4", month = dec, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, University of Auckland, Auckland, New Zealand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:SMF, author = "Jonathan M. Borwein", title = "Some of my Favourite Convex Functions", day = "9", month = dec, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "NZIMA Plenary Lecture, 7th NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New Zealand, December 8--12.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:FCVb, author = "Jonathan M. Borwein", title = "Future Challenges for Variational Analysis", day = "10", month = dec, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture in Special Session on Nonlinear Optimization and Applications, 7th NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New Zealand, December 8--12.", URL = "http://docserver.carma.newcastle.edu.au/396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2008:DAD, author = "Jonathan M. Borwein", title = "Digitally-assisted Discovery and Proof", day = "11", month = dec, year = "2008", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Invited lecture in Special Session on University Mathematics Education, Teaching and Learning, 7th NZ-AustMS Joint Meeting, ANZMC2008, Christchurch, New Zealand, December 8--12.", URL = "http://docserver.carma.newcastle.edu.au/390/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:HPH, author = "Jonathan M. Borwein and D. H. Bailey", title = "High Precision, High Dimension Integration", day = "20", month = feb, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Third International Workshop on High Dimensional Approximation, University of New South Wales, Sydney, Australia, February 16--20. Awarded most-entertaining presentation prize.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:MEP, author = "Jonathan M. Borwein", title = "Maximum Entropy and Projection Methods for Inverse Problems", day = "12", month = feb, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium, University of Newcastle, Newcastle, NSW, Australia", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:PRCa, author = "Jonathan M. Borwein", title = "Prospects for Remote Collaboration", day = "25", month = apr, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IRMACS Retreat on Remote Collaboration, April 24--25, Simon Fraser University, Burnaby, BC, Canada. Delivered from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:PRCb, author = "Jonathan M. Borwein", title = "Prospects for Remote Collaboration", day = "30", month = apr, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First AMSI-SIGopt Seminar. Delivered to RMIT and USA from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:DAMa, author = "Jonathan M. Borwein", title = "Digitally-assisted mathematical discovery and proof", day = "7", month = may, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:DAMb, author = "Jonathan M. Borwein", title = "Digitally-assisted mathematical discovery and proof", day = "11", month = may, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary address, ICMI Study 19.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:DAMc, author = "Jonathan M. Borwein", title = "Digitally-assisted mathematical discovery and proof", day = "14", month = may, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Responses to Plenary address, ICMI Study 19.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:SDC, author = "Jonathan M. Borwein", title = "The {SIAM 100 Digits Challenge}: a Story of Modern Numerical Analysis", day = "28", month = may, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:IMC, author = "Jonathan M. Borwein", title = "International Mathematics in the 21st Century", day = "15", month = jun, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Minisymposium in honour of Phil Broadbridge's retirement as Director of AMSI, University of Melbourne, Melbourne, VIC, Australia, June 15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:HMS, author = "Jonathan M. Borwein", title = "How to maximize surprise", day = "25", month = jun, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMSI-SIGopt Seminar. Delivered to RMIT and USA from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:TLVa, author = "Jonathan M. Borwein", title = "Ten Lectures on Variational Approaches to Minimization Problems: Motivation and Overview", day = "29", month = jun, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:TLVb, author = "Jonathan M. Borwein", title = "Ten Lectures on Variational Approaches to Minimization Problems: Convex Duality and Applications", day = "30", month = jun, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:TLVc, author = "Jonathan M. Borwein", title = "Ten Lectures on Variational Approaches to Minimization Problems: Variational Principles and Applications", day = "1", month = jul, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:TLVd, author = "Jonathan M. Borwein", title = "Ten Lectures on Variational Approaches to Minimization Problems: Monotone and Nonexpansive Maps: algorithms and convergence", day = "2", month = jul, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:TLVe, author = "Jonathan M. Borwein", title = "Ten Lectures on Variational Approaches to Minimization Problems: Algebraic Reconstruction Methods and Interactive Geometry (and a final lecture on Surprise)", day = "3", month = jul, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "IMA 2009 Summer Program for Graduate Students on The Mathematics of Inverse Problems, University of Delaware, Newark, DE, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:IRM, author = "Jonathan M. Borwein", title = "Integer Relation Methods: an Introduction", day = "9", month = jul, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Scientific Computation, First Pacific Rim Conference on Mathematics and Applications (PRIMA), University of New South Wales, Sydney, NSW, Australia, July 6--10, 2009.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:IC, author = "Jonathan M. Borwein", title = "Introduction to CARMA", day = "11", month = aug, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to students from Dungog High School in CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:HIW, author = "Jonathan M. Borwein", title = "{Hilbert} Inequalities and {Witten} Zeta Functions", day = "20", month = aug, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMSI-SIGopt Seminar. Delivered to RMIT and USA from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:EECa, author = "Jonathan M. Borwein", title = "Exploratory Experimentation and Computation", day = "15", month = sep, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mathematics Dept, University of Victoria, BC, Canada.", URL = "http://docserver.carma.newcastle.edu.au/1396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:EECb, author = "Jonathan M. Borwein", title = "Exploratory Experimentation and Computation", day = "23", month = sep, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture Fields--IRMACS Workshop on Discovery and Experiment in Number Theory, Simon Fraser University, Burnaby, BC, Canada and Toronto, ON, Canada, September 22--26.", URL = "http://docserver.carma.newcastle.edu.au/1396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:ISC, author = "Jonathan M. Borwein", title = "Inverse Symbolic Computation: Symbols from Numbers", day = "29", month = sep, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Education Afternoon, 53rd Annual Australian Mathematical Society Meetings, University of South Australia, Adelaide SA 5001, Australia, Sept 28-Oct 1.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:FYMa, author = "Jonathan M. Borwein", title = "Fifty Years of Maximal Monotonicity", day = "29", month = sep, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture for Optimization Theory and Methods Special Session, 53rd Annual Australian Mathematical Society Meetings, University of South Australia, Adelaide SA 5001, Australia, Sept 28-Oct 1.", URL = "http://docserver.carma.newcastle.edu.au/1221/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:FYMb, author = "Jonathan M. Borwein", title = "Fifty Years of Maximal Monotonicity", day = "31", month = oct, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Session on Functional Analysis, University of Newcastle, Official Opening and Workshop Oct 30-Nov 1", URL = "http://docserver.carma.newcastle.edu.au/1221/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:CCE, author = "Jonathan M. Borwein", title = "The Computer as Crucible: The End of Theory?", day = "9", month = nov, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Second Annual Rubinov Memorial Lecture, University of Ballarat, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:ICM, author = "Jonathan M. Borwein", title = "Innovation and Creativity or Managing a Research Portfolio?", day = "11", month = nov, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote Address, Annual Research Day, University of Ballarat, Ballarat, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:CSS, author = "Jonathan M. Borwein", title = "Compressed Sensing: A Subgradient Descent Algorithm for Missing Data Problems", day = "19", month = nov, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:IRA, author = "Jonathan M. Borwein", title = "Integer Relation Algorithms, {I}", day = "29", month = nov, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Number Theory Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:WC, author = "Jonathan M. Borwein", title = "Why Convex?", day = "5", month = dec, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, CMS Winter Meeting, Windsor, ON, Canada, December 5--7.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2009:FVA, author = "Jonathan M. Borwein", title = "The future of variational analysis", day = "6", month = dec, year = "2009", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote Lecture, Special session on Convex and nonlinear analysis, CMS Winter Meeting, Windsor, ON, Canada, Dec. 5--7.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:EPM, author = "Jonathan M. Borwein", title = "Entropy and Projection Methods for Convex and Nonconvex Inverse Problems", day = "29", month = mar, year = "2010", bibdate = "Tue Aug 23 09:17:49 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Prepared for Univ of South Australia Distinguished Lecture (54 slides).", URL = "http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.175.5066&rep=rep1&type=pdf", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:IRA, author = "Jonathan M. Borwein", title = "Integer Relation Algorithms, {II}", day = "20", month = jan, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Number Theory Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:DRIa, author = "Jonathan M. Borwein and Brailey Sims", title = "{Douglas--Rachford} iterations in the absence of convexity", day = "28", month = jan, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium.", URL = "https://www.carma.newcastle.edu.au/jon/dr-talk.pdf", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:DRIb, author = "Jonathan M. Borwein and Brailey Sims", title = "{Douglas--Rachford} iterations in the absence of convexity", day = "1", month = feb, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ANZIAM-SigmaOpt Session, Queenstown, New Zealand, February 1--4.", URL = "https://www.carma.newcastle.edu.au/jon/dr-talk.pdf", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:EECa, author = "Jonathan M. Borwein", title = "Exploratory Experimentation and Computation", day = "8", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary Lecture, 2010 German Math Society Meetings (joint with Mathematical Education), Munich, Germany, March 8--12.", URL = "http://docserver.carma.newcastle.edu.au/1396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:WC, author = "Jonathan M. Borwein", title = "Why Convex?", day = "10", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Universit{\"a}t der Bundeswehr M{\"u}nchen, Germany.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:LPT, author = "Jonathan M. Borwein", title = "Life of Pi: a Talk for Pi Day", day = "15", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Newcastle Undergraduate Mathematics Club, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:GV, author = "Jonathan M. Borwein", title = "32 {Goldbach} Variations", day = "19", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium and Number Theory and Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:MEPb, author = "Jonathan M. Borwein", title = "Maximum Entropy and Projection Methods for Inverse Problems", day = "29", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Distinguished Lecture Series, Mathematics Dept, University of South Australia, Adelaide SA 5001, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:U, author = "Jonathan M. Borwein", title = "[untitled]", day = "30", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "General interview on Newcastle Drive, ABC Radio Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:MZV, author = "Jonathan M. Borwein", title = "Multiple Zeta Values", day = "31", month = mar, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Number Theory and Analysis Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:RWR, author = "Jonathan M. Borwein", title = "Random Walks and Ramble Integrals", day = "16", month = apr, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analysis Seminar, University of Adelaide, Adelaide, SA, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:EECb, author = "Jonathan M. Borwein", title = "Exploratory Experimentation and Computation", day = "16", month = apr, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Department Colloquium, University of Adelaide, Adelaide, SA, Australia.", URL = "http://docserver.carma.newcastle.edu.au/1396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:APAa, author = "Jonathan M. Borwein", title = "Alternating Projection Algorithms in {Hilbert} Space, {I}", day = "20", month = apr, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Analysis and Optimization Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:APAb, author = "Jonathan M. Borwein", title = "Alternating Projection Algorithms in {Hilbert} Space, {II}", day = "27", month = apr, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Analysis and Optimization Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @TechReport{Borwein:2010:DRA, author = "Jonathan M. Borwein and Brailey Sims", title = "{Douglas--Rachford} algorithm in the absence of convexity", institution = inst-CARMA, address = inst-CARMA:adr, pages = "20", day = "22", month = may, year = "2010", bibdate = "Tue Jan 03 08:33:04 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "https://www.carma.newcastle.edu.au/jon/dr.pdf", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:HPC, author = "Jonathan M. Borwein", title = "High precision computation in mathematical physics and dynamics", day = "2", month = jun, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMSI-SIGopt Seminar. Delivered to Australian National University, UWA, RMIT and USA from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:DRIc, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} iterations in the absence of convexity", day = "22", month = jun, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Clemson Research Experience for Undergraduates, presented from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:IC, author = "Jonathan M. Borwein", title = "An introduction to CARMA", day = "28", month = jun, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "University of Newcastle 2010 Teachers' Visit Day, presented inside CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:ASR, author = "Jonathan M. Borwein", title = "The arithmetic of 3 and 4 step random walks", day = "9", month = jul, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote Lecture, AMSI-CARMA Workshop on Exploratory Experimentation and Computation Theory, CARMA, July 7--9.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:MRGa, author = "Jonathan M. Borwein", title = "Moments of {Ramanujan}'s Generalized Elliptic Integrals and Extensions of {Catalan}'s Constant", day = "12", month = aug, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium, University of Newcastle, NSW, Australia.", URL = "http://docserver.carma.newcastle.edu.au/1443/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:MEPc, author = "Jonathan M. Borwein", title = "Maximum Entropy and Projection Methods for Inverse Problems", day = "31", month = aug, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, Second South Pacific Conference on Mathematics, University of New Caledonia, Noum{\'e}a 98851, New Caledonia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:CFWa, author = "Jonathan M. Borwein", title = "Closed forms: what they are and why they matter", day = "15", month = sep, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Part I, CARMA Number Theory seminar.", URL = "http://docserver.carma.newcastle.edu.au/767/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:CFWb, author = "Jonathan M. Borwein", title = "Closed forms: what they are and why they matter", day = "22", month = sep, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Part II, CARMA Number Theory seminar.", URL = "http://docserver.carma.newcastle.edu.au/767/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:FPC, author = "Jonathan M. Borwein", title = "Fractal postcards and coke cans", day = "24", month = sep, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to West Wallsend High School students in CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:CSS, author = "Jonathan M. Borwein", title = "Compressed Sensing: a Subgradient Approach", day = "28", month = sep, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session on Optimization, 54th Australian Math Society Meetings, September 27--30, 2010.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:LP, author = "Jonathan M. Borwein", title = "Life of Pi", day = "28", month = sep, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Public Lecture, 54th Australian Math Society Meetings, September 27--30, 2010.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:SWR, author = "Jonathan M. Borwein", title = "Short Walks and Ramble Integrals: The Arithmetic of Uniform Random Walks", day = "30", month = sep, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, 54th Australian Math Society Meetings, September 27--30, 2010.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:DRId, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} iterations in the absence of convexity", day = "3", month = oct, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote Lecture, AMSI-CARMA Workshop on Applied Functional Analysis, CARMA, October 2--4.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:ICF, author = "Jonathan M. Borwein and Michael Rose", title = "Introduction to {CARMA} and fractals", day = "19", month = oct, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "BOOST + on campus high school visit to University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:TTG, author = "Jonathan M. Borwein", title = "Thirty Two {Goldbach} Variations", day = "20", month = oct, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Workshop on Multi-zeta Values, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:RACa, author = "Jonathan M. Borwein", title = "{Ramanujan}'s {AG} continued fraction, {I}: the real case", day = "4", month = nov, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2010:RACb, author = "Jonathan M. Borwein", title = "{Ramanujan}'s {AG} continued fraction, {II}: the complex case", day = "4", month = nov, year = "2010", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Number Theory Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:EEC, author = "Jonathan M. Borwein", title = "Exploratory Experimentation and Computation", day = "7", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Special Session in Logic and Analysis, Combined Membership Meetings, New Orleans, LA, USA.", URL = "http://docserver.carma.newcastle.edu.au/1396/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:DRIa, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} iterations in the absence of convexity", day = "9", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Special Session on Douglas--Rachford Methods, Combined Membership Meetings, New Orleans, LA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:SWR, author = "Jonathan M. Borwein", title = "Short Walks and Ramble Integrals: The Arithmetic of Uniform Random Walks", day = "9", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMS Special Session on Special Functions, Combined Membership Meetings, New Orleans, LA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:MRGb, author = "Jonathan M. Borwein", title = "Moments of {Ramanujan}'s Generalized Elliptic Integrals and Extensions of {Catalan}'s Constant", day = "11", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Number Theory Seminar, Mathematics Dept, University of Florida.", URL = "http://docserver.carma.newcastle.edu.au/1443/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:RAC, author = "Jonathan M. Borwein", title = "{Ramanujan}'s {AG} continued fraction.", day = "11", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Mathematics Dept, University of Florida, Gainesville, FL, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:LP, author = "Jonathan M. Borwein", title = "Life of Pi", day = "12", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Graduate Colloquium, Mathematics Dept, University of Florida, Gainesville, FL, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:DCF, author = "Jonathan M. Borwein", title = "Difference Convex Functions", day = "29", month = jan, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Continuous Optimization, University of South Australia, Adelaide SA 5001, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:CSS, author = "Jonathan M. Borwein", title = "Compressed Sensing: a Subgradient Approach", day = "1", month = feb, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special Session on Optimization, ANZIAM 2011.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:FG, author = "Jonathan M. Borwein", title = "Fractal Geometry", day = "16", month = feb, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to Year 7 students form Wallsend with Michael Rose to the NSW MEGS program (Making Educational Goals Sustainable).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:LPHa, author = "Jonathan M. Borwein", title = "Life of Pi: History and Computation --- a Talk for Pi Day", day = "14", month = mar, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "University of Technology Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:LPHb, author = "Jonathan M. Borwein", title = "Life of Pi: History and Computation --- a Talk for Pi Day", day = "14", month = mar, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interviews with ABC Sydney, Goldcoast and Tasmania\slash Victoria, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:LPHc, author = "Jonathan M. Borwein", title = "Life of Pi: History and Computation --- a Talk for Pi Day", day = "15", month = mar, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "AMSI AGR Talk for PiDay in America.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:SWMa, author = "Jonathan M. Borwein", title = "Short Walks, {Mahler} Measures and Logsine Integrals, {I}", day = "16", month = mar, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:SWMb, author = "Jonathan M. Borwein", title = "Short Walks, {Mahler} Measures and Logsine Integrals, {II}", day = "23", month = mar, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:CMIa, author = "Jonathan M. Borwein", title = "{CARMA} and Me: An Introduction", day = "26", month = apr, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CDSC-CARMA-CISRA (Canon Information Systems Research Australia) afternoon, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:CM, author = "Jonathan M. Borwein", title = "{CARMA} and Me", day = "4", month = may, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "New Fellows Seminar, Australian Academy of Science, Shine Dome, Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:CMWa, author = "Jonathan M. Borwein", title = "{CARMA} and Me: or Why am I in {Oz}?", day = "17", month = may, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "JonFest 2011, IRMACS, Simon Fraser University, Burnaby, BC, Canada, 16--20 May.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:BND, author = "Jonathan M. Borwein", title = "{BBP} numbers and digit-extraction algorithms", day = "23", month = may, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:MMU, author = "Jonathan M. Borwein", title = "Mysteries of the Mathematical Universe", day = "4", month = jun, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "World Science Festival Panel, New York. Panel shared with Devlin, de Sautoy, Singh.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:MWIa, author = "Jonathan M. Borwein", title = "Measures, Walks and Integrals: a Study in Hybrid Computation", day = "7", month = jun, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary Lecture, Numeric-Symbolic Computation (2011 FCCAR Meetings), San Jose, CA, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:CMWb, author = "Jonathan M. Borwein", title = "{CARMA} and Me: or Why am I in {Oz}?", day = "30", month = jun, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Two presentations to 2011 Teachers' Visit Day, University of Newcastle, NSW, Australia. July 8.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:PDNb, author = "Jonathan M. Borwein", title = "Are Pi's days numbered?", day = "18", month = jul, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview with ABC Goldcoast, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:CMIb, author = "Jonathan M. Borwein", title = "{CARMA} and Me: An Introduction", day = "19", month = jul, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First CARMA Retreat, Shortland Wetland.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:SS, author = "Jonathan M. Borwein", title = "A Sinc that Sank", day = "6", month = sep, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Analysis Seminar, Newcastle, NSW, Australia.", URL = "http://docserver.carma.newcastle.edu.au/1391/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:MWIb, author = "Jonathan M. Borwein", title = "Measures, Walks and Integrals: a Study in Hybrid Computation", day = "27", month = sep, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote Lecture, AustMS Special Session on Computational Mathematics (presented by James Wang) 2011 AustMS Meetings, Wollongong, NSW, Australia, Sept 26--29.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:TRT, author = "Jonathan M. Borwein", title = "Teaching and Researching at the Tertiary Level with Collaboration Tools", day = "29", month = sep, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, ALTC Workshop, 2011 AustMS Meetings, Wollongong, NSW, Australia, Sept 29--30.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:DRIb, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} iterations in the absence of convexity", day = "15", month = oct, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture (given from Newcastle), 13th Midwest Optimization Meeting and Workshop on Large Scale Optimization and Applications, Fields Institute, Toronto, ON M5T 3J1, Canada, October 14--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:ATR, author = "Jonathan M. Borwein", title = "Actually: Teaching and Researching at the Tertiary Level with Collaboration Tools", day = "3", month = nov, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2011:MCA, author = "Jonathan M. Borwein", title = "Meetings with Computer Algebra and Special Functions: A {Ramanujan} Style Talk", day = "29", month = nov, year = "2011", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture at JonFest Down Under, CARMA--AMSI Workshop, Nov 29--Dec 1, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:RPMb, author = "Jonathan M. Borwein", title = "Recent Progress on Maximal Monotonicity", day = "31", month = jan, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ANZIAM 2012, Warrnambool, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:PDI, author = "Jonathan M. Borwein", title = "Pi Day Interview", day = "14", month = mar, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ABC Radio Queensland, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:PDAb, author = "Jonathan M. Borwein", title = "Pi Day in {America}", day = "15", month = mar, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conference in Honour of Alf van der Poorten, CARMA, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:WMI, author = "Jonathan M. Borwein", title = "Walks, Measures and Integrals", day = "16", month = mar, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conference in Honour of Alf van der Poorten, CARMA, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:USTa, author = "Jonathan M. Borwein", title = "The Use of Selection Theorems in Optimization. {Part I} Theory", day = "22", month = mar, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA\slash SigmaOPT seminar, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:USTb, author = "Jonathan M. Borwein", title = "The Use of Selection Theorems in Optimization. {Part II} Applications", day = "29", month = mar, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA\slash SigmaOPT seminar, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:CTMa, author = "Jonathan M. Borwein", title = "Computation and Theory of {Mordell--Witten--Tornheim} sums. {Part I} Theory", day = "1", month = may, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Analysis seminar, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:CTMb, author = "Jonathan M. Borwein", title = "Computation and Theory of {Mordell--Witten--Tornheim} sums. {Part II} Computation", day = "8", month = may, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Analysis seminar, Newcastle, NSW, Australia. 9. May 14.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:AAS, author = "Jonathan M. Borwein", title = "Arithmetic aspects of short random walks", day = "14", month = may, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Experimental mathematics seminar, University of Melbourne, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:MES, author = "Jonathan M. Borwein", title = "My experiences with special functions", day = "15", month = may, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, University of Melbourne, Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:MEP, author = "Jonathan M. Borwein", title = "Maximum Entropy and Projection Methods for Inverse Problems", day = "21", month = may, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Technion Mathematics Colloquium and Conference Presentation to the Workshop on Infinite Products of Operators and Their Applications, Technion, Haifa, May 21--24.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:FYMa, author = "Jonathan M. Borwein", title = "Fifty years of maximal monotonicity: recent results on maximal monotone operators", day = "24", month = may, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Conference Presentation to the Workshop on Infinite Products of Operators and Their Applications, Technion, Haifa, May 21--24.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:EFSa, author = "Jonathan M. Borwein", title = "Expectations over fractal sets", day = "2", month = aug, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Seminar, University of New South Wales, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:U, author = "Jonathan M. Borwein", title = "[untitled]", day = "11", month = aug, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview with Ginger Gorman at 666 ABC Canberra, ACT, Australia on Pi Walk.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:EFSb, author = "Jonathan M. Borwein", title = "Expectations over fractal sets", day = "12", month = aug, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "SigmaOPT Colloquium, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:TMP, author = "Jonathan M. Borwein", title = "Talking to, with and for the media and the public", day = "17", month = aug, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA-MAPS Outreach afternoon.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:CMa, author = "Jonathan M. Borwein", title = "{CARMA} and me: 2012", day = "18", month = aug, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Annual CARMA Retreat, Fort Scratchley Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:FE, author = "Jonathan M. Borwein", title = "Fractals everywhere", day = "7", month = sep, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation to West Wallsend High School students in CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:IIC, author = "Jonathan M. Borwein", title = "Interdisciplinarity, Innovation, Collaboration and Creativity or How to Manage a Research Portfolio", day = "13", month = sep, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:FYMb, author = "Jonathan M. Borwein", title = "Fifty years of maximal monotonicity: recent results on maximal monotone operators", day = "24", month = sep, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote presentation to special session on Variational Analysis 56th AustMS Meetings, Ballarat, VIC, Australia, Sept 23--27.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:MTW, author = "Jonathan M. Borwein", title = "{Mordell--Tornheim--Witten} Sums and Log Gamma Integrals", day = "25", month = sep, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session on Number Theory 56th AustMS Meetings, Ballarat, VIC, Australia, Sept 23--27.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:CMb, author = "Jonathan M. Borwein", title = "{CARMA} and me: 2012", day = "23", month = oct, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "APEC-ITB Workshop, Bandung Indonesia, given from Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:MM, author = "Jonathan M. Borwein", title = "Music and Mathematics", day = "25", month = oct, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Concert including a visualisation and sonification of a random walk through Pi with Jon Drummond and Fran Aragon. Harold Lobb Concert Hall, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:SM, author = "Jonathan M. Borwein", title = "Smart Meters", day = "8", month = nov, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview with ABC Radio Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:FM, author = "Jonathan M. Borwein", title = "The Future of Maths", day = "11", month = nov, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview with ABC Radio National Future tense (Sunday 11.30).", URL = "http://www.abc.net.au/radionational/programs/futuretense/the-future-of-maths/4355778.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:STMb, author = "Jonathan M. Borwein", title = "Seeing things in Mathematics", day = "25", month = nov, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Workshop on Effective Visualisation in the Mathematical Sciences (eViMS).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2012:EEM, author = "Jonathan M. Borwein", title = "Exploratory Experimentation in Mathematics", day = "10", month = dec, year = "2012", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ICERM Workshop on Reproducibility in Computational and Experimental Mathematics, ICERM, Providence, RI, USA, December 10--14.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWa, author = "Jonathan M. Borwein", title = "Seeing Things by Walking on Real Numbers", day = "17", month = jan, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Fellows' Lecture, 2013 National Mathematics Summer School, Shine Dome, Canberra, ACT, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWb, author = "Jonathan M. Borwein", title = "Seeing Things by Walking on Real Numbers", day = "11", month = feb, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, Third South Pacific Optimization Meeting, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:PPE, author = "Jonathan M. Borwein", title = "The Pi of Planet Earth", day = "14", month = mar, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Lecture, AMSI AGR Distinguished Lecture Series from CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:PD, author = "Jonathan M. Borwein", title = "Pi Day", day = "14", month = mar, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview with ABC radio South Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:BARa, author = "Jonathan M. Borwein", title = "Best Approximation in (reflexive) {Banach} space, {I}: Introduction", day = "25", month = mar, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "OANTS-AMSI seminar, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:BARb, author = "Jonathan M. Borwein", title = "Best Approximation in (reflexive) {Banach} space, {II}: The {Lau--Konjagin Theorem}", day = "8", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "OANTS-AMSI seminar, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:BARc, author = "Jonathan M. Borwein", title = "Best Approximation in (reflexive) {Banach} space, {III}: The {Chebysev} Problem", day = "15", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "OANTS-AMSI seminar, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:BABa, author = "Jonathan M. Borwein", title = "Best approximation in {Banach} Space: the {Chebyshev} Problem", day = "26", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Naresuan University, Workshop on Nonsmooth Variational Inequalities, Optimization Problems and Fixed Point Theory, April 24--26, Naresuan University, Phitsanulok, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWc, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "26", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Nonsmooth Variational Inequalities, Optimization Problems and Fixed Point Theory, April 24--26, Naresuan University, Phitsanulok, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:NDR, author = "Jonathan M. Borwein", title = "Nonconvex {Douglas--Rachford} iterations", day = "26", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop on Nonsmooth Variational Inequalities, Optimization Problems and Fixed Point Theory, April 24--26, Naresuan University, Phitsanulok, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:EEMa, author = "Jonathan M. Borwein", title = "Exploratory Experimentation in the Mathematical Sciences", day = "29", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Economics, Chiang Mai University, Chiang Mai, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:BABb, author = "Jonathan M. Borwein", title = "Best approximation in {Banach} Space: the {Chebyshev} Problem", day = "29", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Chiang Mai University, Chiang Mai, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:EMI, author = "Jonathan M. Borwein", title = "Entropy Methods for Inverse Problems", day = "30", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Economics, Chiang Mai University, Chiang Mai, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:SM, author = "Jonathan M. Borwein", title = "Surprise Maximization", day = "30", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Department of Economics, Chiang Mai University, Chiang Mai, Thailand.", URL = "http://docserver.carma.newcastle.edu.au/209/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:EMC, author = "Jonathan M. Borwein", title = "Entropy Methods and Checkerboard Copulas to Simulate Rainfall", day = "30", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Department of Economics, Chiang Mai University, Chiang Mai, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWd, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "30", month = apr, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Department of Mathematics, Chiang Mai University, Chiang Mai, Thailand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:EEMb, author = "Jonathan M. Borwein", title = "Exploratory Experimentation in the Mathematical Sciences", day = "5", month = jun, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "National Mathematics Seminar, Bulgarian Academy of Science.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWe, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "10", month = jun, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First keynote, workshop on Topological Methods in Analysis and Optimization, Bulgarian Academy of Science, June 10--13.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWf, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "2", month = jul, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "National Youth Science Forum students visit to University of Newcastle, NSW, Australia, July 1--2, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:SDR, author = "Jonathan M. Borwein", title = "Set the default to `reproducible'", day = "9", month = jul, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Session on reproducible computational science, MPE 2013, Melbourne, VIC, Australia, July 8--12.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:MSS, author = "Jonathan M. Borwein", title = "Modelling and simulation of seasonal rainfall", day = "17", month = jul, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Recent Advances in OR, RMIT AGR--University of Newcastle AGR--Adelaide, July 17.", URL = "http://docserver.carma.newcastle.edu.au/1453/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:VAPa, author = "Jonathan M. Borwein", title = "Variational analysis in the presence of symmetry. {Part I}", day = "30", month = jul, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "OAANTS AGR Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:VAPb, author = "Jonathan M. Borwein", title = "Variational analysis in the presence of symmetry. {Part II}", day = "6", month = aug, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "OAANTS AGR Seminar.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWg, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "14", month = aug, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Maths Enrichment Session, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:LP, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "20", month = sep, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Maths Enrichment Session, CARMA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWh, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "30", month = sep, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Number Theory Session, 57th AustMS Meeting, University of Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:VAPc, author = "Jonathan M. Borwein", title = "Variational analysis in the presence of symmetry", day = "1", month = oct, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Optimization of Planet Earth Session, 57th AustMS Meeting, University of Sydney, Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:DRM, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} methods for matrix completion problems", day = "23", month = oct, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA\slash OCANA Seminar, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:STWi, author = "Jonathan M. Borwein", title = "Seeing things by walking on numbers", day = "12", month = nov, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Google's CS4HS programme, University of Newcastle, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:SLV, author = "Jonathan M. Borwein", title = "Seven lectures on variational analysis", day = "25--30", month = nov, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CIMPA--Unesco--India Research School on Generalized Nash Equilibrium Problems, Delhi University, New Delhi, India (Nov 25th-Dec 6).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2013:MEP, author = "Jonathan M. Borwein", title = "Maximum Entropy and Projection Methods for Convex and Non-convex Inverse Problems", day = "16", month = dec, year = "2013", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Keynote Lecture, MaxEnt33, Canberra, ACT, Australia (Dec 15--20).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:DRMa, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} methods for matrix completion problems", day = "6", month = feb, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ANZIAM 2014, Rotorua, New Zealand.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:PD, author = "Jonathan M. Borwein", title = "Pi Day", day = "14", month = mar, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview and call-in show with ABC radio South Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:VPP, author = "Jonathan M. Borwein", title = "The visualization of Pi", day = "10", month = apr, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Presentation at Destination Maitland: City of the Future. Conservatorium Campus, Maitland, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:DRMb, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} methods for matrix completion problems", day = "16", month = apr, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ANZIAM 2014, Federation University meeting in honour of Vladimir Demyanov (given from Burnaby).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:STMb, author = "Jonathan M. Borwein", title = "Seeing things in mathematics by walking on real numbers", day = "16", month = apr, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Workshop in honour of David Borwein's 90th birthday, IRMACS, Burnaby, BC, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:LPb, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "22", month = apr, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "A Talk for Pi Day or other Days. {Part I}, History. Inaugural M{\"o}bius Lecture Series, Department of Mathematics, Baylor University, Waco, TX, USA.", acknowledgement = ack-nhfb, } @Unpublished{xxx-00638, author = "Jonathan M. Borwein", title = "The Life of Pi", day = "23", month = apr, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "A Talk for Pi Day or other Days. {Part II}, Computation. Colloquium, Inaugural M{\"o}bius Lecture Series, Department of Mathematics, Baylor University, Waco, Texas.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:STMc, author = "Jonathan M. Borwein", title = "Seeing things in mathematics by walking on real numbers", day = "24", month = apr, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Inaugural M{\"o}bius Lecture Series, Colloquium, Department of Mathematics, Baylor University, Waco, Texas.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:RPSa, author = "Jonathan M. Borwein", title = "Rock, Paper, Scissors", day = "8", month = may, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview on ABC Radio Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:RPSb, author = "Jonathan M. Borwein", title = "Rock, Paper, Scissors", day = "12", month = may, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview on ABC Radio Riverena.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:ECVb, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator", day = "21", month = may, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Part I, CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:CM, author = "Jonathan M. Borwein", title = "{CARMA} and Me", day = "28", month = may, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Opening of CRM, University of Western Sydney, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:ECVc, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator", day = "29", month = may, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Part II, CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:ECVd, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator", day = "14", month = jun, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Part III, CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:VCP, author = "Jonathan M. Borwein", title = "A very complicated proof of the minimax theorem", day = "12", month = jul, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Workshop on Optimisation and Risk, July 12, 2012.", URL = "http://docserver.carma.newcastle.edu.au/1499/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:ECVe, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator", day = "21", month = jul, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First Plenary, ICERM Workshop on Challenges for 21st Century Experimental Mathematics, Brown University, Providence, RI, USA, July 21--25, 2014.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:ECVf, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator", day = "9", month = aug, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Final Keynote, Fourth International Congress on Mathematical Software (and ICM Satellite Meeting), Hanyang University, Seoul, Souh Korea August 5--8, 2014.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:CPT, author = "Jonathan M. Borwein", title = "Character Polylogarithms and their applications", day = "24", month = oct, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "First lecture, Number Theory Down Under II, Newcastle, October 24--25, 2014.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:ECVg, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator", day = "22", month = nov, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture Effective Visualisation in the Mathematical Sciences (EViMS2), Australian National University, November 21--23.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:MDS, author = "Jonathan M. Borwein", title = "Moments and densities of short walks in arbitrary dimensions", day = "25", month = nov, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture New Directions in Fractal Geometry, Australian National University, November 23--27.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2014:FFC, author = "Jonathan M. Borwein", title = "The {Fitzpatrick} function as a convex gap function", day = "8", month = dec, year = "2014", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session on Optimization, ANZMC8, Melbourne, VIC, Australia, December 8--12, 2014.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:ECV, author = "Jonathan M. Borwein", title = "Exploratory Computation and Visual Theorems: The Computer as Collaborator. {Parts I} and {II}", day = "8", month = jan, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Opening general lectures, AMSI Summer School Newcastle, January 5--26.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:FFC, author = "Jonathan M. Borwein", title = "The {Fitzpatrick} function as a convex gap function", day = "10", month = feb, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Special session in memory of Simon Fitzpatrick, South Pacific Continuous Optimization Meeting, Adelaide, SA, Australia, February 8--12, 2015.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:PP, author = "Jonathan M. Borwein", title = "I prefer Pi", day = "12", month = mar, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA Colloquium.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:DRM, author = "Jonathan M. Borwein", title = "{Douglas--Rachford} methods for matrix completion problems", day = "16", month = apr, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Federation University Workshop on Continuous Optimization in honour of Alex Rubinov (given from Newcastle).", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:SWAa, author = "Jonathan M. Borwein", title = "Short walks in arbitrary dimensions", day = "23", month = jun, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Final lecture Workshop on Mathematics and Computation, CARMA 21--23 June, 2015.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:MLY, author = "Jonathan M. Borwein", title = "{Moore's Law} is 50 years old", day = "22", month = jul, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Interview with ABC Radio Melbourne, VIC, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:TLD, author = "Jonathan M. Borwein", title = "Two lectures on {Douglas--Rachford} reflection methods for convex and non convex feasibility problems", day = "11", month = aug, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote lectures, RMIT Workshop on Optimisation, August 11, 2013.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:SWAb, author = "Jonathan M. Borwein", title = "Short walks in arbitrary dimensions", day = "13", month = aug, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "ASEMS Workshop on Stochastics and Special Functions, University of Melbourne, Melbourne, VIC, Australia, 13--14 August, 2015.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:BMY, author = "Jonathan M. Borwein", title = "Brailey and me (and you)", day = "22", month = aug, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dinner speech, CARMA Workshop in honour of Brailey Sims, August 21--23, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:SWAc, author = "Jonathan M. Borwein", title = "Short walks in arbitrary dimensions", day = "18", month = sep, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Number Theory Down Under 3, CARMA, University of Newcastle, 18--19 September, 2015.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:CAGb, author = "Jonathan M. Borwein", title = "Convex analysis on groups and monoids", day = "29", month = sep, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary Variational Analysis and Optimisation Special Session, AustMS 59, Flinders University, Bedford Park SA 5042, Australia, 28 Sept--Oct 1, 2015.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:SWC, author = "Jonathan M. Borwein", title = "A short walk can be beautiful", day = "1", month = oct, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Maths Education Special Session, AustMS 59, Flinders University, Bedford Park SA 5042, Australia, 28 Sept--Oct 1, 2015.", URL = "http://docserver.carma.newcastle.edu.au/1712/", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:U, author = "Jonathan M. Borwein", title = "[untitled]", day = "3", month = nov, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "NZ Radio interview on the Melbourne Cup, Newstalk ZB.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:SDR, author = "Jonathan M. Borwein", title = "Set the default to reproducible", day = "13", month = nov, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "CARMA workshop on Mathematical Aspects of Behavioural Economics and Finance, November 13--14, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2015:AOF, author = "Jonathan M. Borwein", title = "Adventures with the OEIS: Five sequences {Tony} may like", day = "7", month = dec, year = "2015", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Tony Guttmann: Seventy and counting, December 7--8, Newcastle, NSW, Australia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:CAGb, author = "Jonathan M. Borwein", title = "Convex analysis on groups and monoids", day = "29", month = feb, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote lecture, South Pacific Optimization Meeting V, University of New Caledonia, Noum{\'e}a 98851, New Caledonia.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:LHC, author = "Jonathan M. Borwein", title = "The Life of $ \pi $: History and Computation: A Talk for Pi Day or Other Days", day = "5", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nerenberg Memorial Lecture, University of Western Ontario, London, ON, Canada.", URL = "https://www.carma.newcastle.edu.au/jon/piday-16-sm.pdf", acknowledgement = ack-nhfb, xxtitle = "The Life of Pi: a Talk for Pi Day and other Days", } @Unpublished{Borwein:2016:WNa, author = "Jonathan M. Borwein", title = "Walking on Numbers", day = "7", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Technical Talk, Nerenberg Memorial Lecture, University of Western Ontario, London, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:WNb, author = "Jonathan M. Borwein", title = "Walking on Numbers", day = "12", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "25th Owens Memorial Lecture, Wayne State University, Detroit, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:TT, author = "Jonathan M. Borwein", title = "Technical Talk", day = "13", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "25th Owens Memorial Lecture, Wayne State University, Detroit, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:WNc, author = "Jonathan M. Borwein", title = "Walking on Numbers", day = "14", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Department Colloquium, Western Michigan University, Kalamazoo, MI, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:TACa, author = "Jonathan M. Borwein", title = "Theory and Applications of Convex and Non-Convex Feasibility Problems", day = "29", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 1.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:TACb, author = "Jonathan M. Borwein", title = "Theory and Applications of Convex and Non-Convex Feasibility Problems", day = "29", month = apr, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 2.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:TACc, author = "Jonathan M. Borwein", title = "Theory and Applications of Convex and Non-Convex Feasibility Problems", day = "3", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 3.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:TACd, author = "Jonathan M. Borwein", title = "Theory and Applications of Convex and Non-Convex Feasibility Problems", day = "3", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 4.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:TACe, author = "Jonathan M. Borwein", title = "Theory and Applications of Convex and Non-Convex Feasibility Problems", day = "5", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Applied Mathematics Spring Lecture Series --- University of Western Ontario, London, ON, Canada. Lecture 5.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:RMM, author = "Jonathan M. Borwein", title = "Reflection methods for matrix completion", day = "6", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Tutte Seminar, University of Waterloo, Waterloo, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:VTM, author = "Jonathan M. Borwein", title = "Visual Theorems in Mathematics", day = "12", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Fields Workshop on Computationally Assisted Mathematical Discovery and Experimental Mathematics, First Plenary Lecture, Western University, London, ON, Canada, May 12--15.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:CMM, author = "Jonathan M. Borwein", title = "CARMA: a model for multi-disciplinary and multi-institutional collaborative research", day = "17", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Colloquium, Florida ADRC (Alzheimer's Disease Research Center), McKnight Brain Institute, University of Florida, Gainesville, FL, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:STWa, author = "Jonathan M. Borwein", title = "Seeing things by walking on real numbers", day = "19", month = may, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Colloquium, University of Florida, Gainesville, FL, USA.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:LFOa, author = "Jonathan M. Borwein", title = "The {Lambert} {$W$} function in Optimization", day = "3", month = jun, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Third Keynote lecture, OVA7, in honour of Michel Th{\'e}ra at 70, June 1--3, Alicante, Spain.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:CAGc, author = "Jonathan M. Borwein", title = "Convex Analysis on Groups and Semigroups", day = "9", month = jun, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture, Fourth International Workshop on Functional Analysis, University of Cartagena, June 9--10.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:VAP, author = "Jonathan M. Borwein", title = "Variational Analysis in the Presence of Symmetry", day = "25", month = jun, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Informal Worshop on Nonlinear Optimization, Western, London, ON, Canada, June 24--25.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:STWb, author = "Jonathan M. Borwein", title = "Seeing things by walking on real numbers", day = "30", month = jun, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Colloquium, Dalhousie University, Halifax, NS, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:STWc, author = "Jonathan M. Borwein", title = "Seeing things by walking on real numbers", day = "14", month = jul, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Mathematics Seminar, University of Toronto, Toronto, ON, Canada.", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:CAGd, author = "Jonathan M. Borwein", title = "Convex Analysis on Groups and Semigroups", day = "20", month = jul, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Plenary lecture, Mathematical Optimisation Down Under (MODU2016), Melbourne, Melbourne, VIC, Australia, July 18--22. (Given from London, ON, Canada, on 21 July 2016).", URL = "https://www.carma.newcastle.edu.au/jon/cogs.pdf", acknowledgement = ack-nhfb, } @Unpublished{Borwein:2016:LFA, author = "Jonathan M. Borwein", title = "The {Lambert} {$W$} function in Analysis and Optimization", day = "25", month = jul, year = "2016", bibdate = "Tue Aug 16 10:19:46 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Keynote lecture, Fields Workshop on the 20th anniversary of the Lambert {$W$} function, July 25--28, Western University, London, ON, Canada.", acknowledgement = ack-nhfb, } %%% ==================================================================== %%% Part 4 (of 4): Publications about Jonathan M. Borwein and his works %%% %%% Bibliography entries, sorted by year, and then by citation label: %%% %%% TO DO: A few of these entries may refer to work by David Borwein or %%% Peter B. Borwein, rather than by Jonathan Borwein, and should therefore %%% be removed. @Article{Deutsch:1986:PSE, author = "Emeric Deutsch and L. I. Nicolaescu and Ira Gessel and Paul Monsky and Clark Kimberling and H{\"u}seyin Demir", title = "Problems and Solutions: Elementary Problems: {E3159}--{E3164}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "565--566", month = aug # "\slash " # sep, year = "1986", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:24 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Demir:1988:PSSa,Deutsch:1988:PSSa,Gessel:1988:PSSb,Kimberling:1989:PSS,Monsky:1989:PSS,Nicolaescu:1988:PSSb}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Zalinescu:1986:LEJ, author = "Constantin Z{\u{a}}linescu", title = "Letter to the editor: on {J. M. Borwein}'s paper: ``{Adjoint} process duality'' [{Math. Oper.\ Res. {\bf 8} (1983), no. 3, 403--434; MR0716121 (85h:90092)}]", journal = j-MATH-OP-RES, volume = "11", number = "4", pages = "692--698", month = nov, year = "1986", CODEN = "MOREDQ", DOI = "https://doi.org/10.1287/moor.11.4.692", ISSN = "0364-765X (print), 1526-5471 (electronic)", ISSN-L = "0364-765X", MRclass = "90C25", MRnumber = "865564", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See \cite{Borwein:1983:APD}.", URL = "http://www.jstor.org/stable/3690014", acknowledgement = ack-nhfb, fjournal = "Mathematics of Operations Research", journal-URL = "http://pubsonline.informs.org/loi/moor", } @Article{Askey:1988:BRP, author = "Richard Askey", title = "Book Review: {{\booktitle{Pi and the AGM}}}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "9", pages = "895--897", month = nov, year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2322925", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", keywords = "AGM (arithmetic-geometric mean)", } @Article{Bailey:1988:CDD, author = "David H. Bailey", title = "The Computation of $ \pi $ to 29,360,000 Decimal Digits Using {Borweins}' Quartically Convergent Algorithm", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "283--296", month = jan, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2007932", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Y60 (11-04 11K16 65-04)", MRnumber = "917836", MRreviewer = "A. J. van der Poorten", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2007932", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Berndt:1988:BRJ, author = "Bruce C. Berndt", title = "Book Review: {Jonathan M. Borwein and Peter B. Borwein, \booktitle{Pi and the AGM --- A Study of Analytic Number Theory and Computational Complexity}, Canadian Mathematical Society Series of Mono- graphs and Advanced Texts, Wiley, New York, 1987, xv + 414 pp., 24 cm. Price \$49.95}", journal = j-MATH-COMPUT, volume = "50", number = "181", pages = "352--354", month = jan, year = "1988", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2007942", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @Article{Demir:1988:PSSa, author = "Huseyn Demir and Gene Arnold and Vaclav Konecny", title = "Problems and Solutions: Solutions of Elementary Problems: {E3164}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "7", pages = "660--661", month = aug # "\slash " # sep, year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:09 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1986:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Gessel:1988:PSSb, author = "Ira Gessel and David Callan", title = "Problems and Solutions: Solutions of Elementary Problems: {E3161}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "770--771", month = oct, year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:11 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1986:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Nicolaescu:1988:PSSb, author = "L. I. Nicolaescu and A. A. Jagers and Robert E. Shafer", title = "Problems and Solutions: Solutions of Elementary Problems: {E3160}", journal = j-AMER-MATH-MONTHLY, volume = "95", number = "8", pages = "769--770", month = oct, year = "1988", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:11 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1986:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Wimp:1988:BRP, author = "Jet Wimp", title = "Book Review: {{\booktitle{Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity}}}", journal = j-SIAM-REVIEW, volume = "30", number = "3", pages = "530--533", month = sep, year = "1988", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2030735", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Fabian:1989:STL, author = "Mari{\'a}n Fabi{\'a}n", title = "Subdifferentiability and trustworthiness in the light of a new variational principle of {Borwein} and {Preiss}", journal = "Acta Univ. Carolin. Math. Phys.", volume = "30", number = "2", pages = "51--56", year = "1989", CODEN = "AUMMBZ", ISSN = "0001-7140", MRclass = "49J50 (49J52 90C48)", MRnumber = "1046445", MRreviewer = "Lionel Thibault", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "17th Winter School on Abstract Analysis (Srn{\'{\i}}, 1989).", acknowledgement = ack-nhfb, fjournal = "Acta Universitatis Carolinae. Mathematica et Physica", } @Article{Kimberling:1989:PSS, author = "Clark Kimberling and David Callan", title = "Problems and Solutions: Solutions of Elementary Problems: {E3163}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "1", pages = "57--57", month = jan, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:18 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1986:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Miller:1989:FER, author = "Harry I. Miller", title = "A further extension of a result of {Borwein} and {Ditor}", journal = "Real Anal. Exchange", volume = "15", number = "2", pages = "713--723", year = "1989/90", ISSN = "0147-1937 (print), 1930-1219 (electronic)", ISSN-L = "0147-1937", MRclass = "28A05", MRnumber = "1059432", MRreviewer = "J. C. Oxtoby", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Real Analysis Exchange", } @Article{Miller:1989:GRB, author = "Harry I. Miller", title = "Generalization of a Result of {Borwein} and {Ditor}", journal = j-PROC-AM-MATH-SOC, volume = "105", number = "4", pages = "889--893", month = apr, year = "1989", CODEN = "PAMYAR", DOI = "https://doi.org/10.2307/2047048", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "28A05 (26A21)", MRnumber = "989098", MRreviewer = "J. C. Oxtoby", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2047048", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Monsky:1989:PSS, author = "Paul Monsky", title = "Problems and Solutions: Solutions of Elementary Problems: {E3162}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "3", pages = "258--259", month = mar, year = "1989", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:39:22 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Deutsch:1986:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Lord:1990:BRD, author = "Nick Lord", title = "Book Review: {{\booktitle{A Dictionary of Real Numbers}}}", journal = j-MATH-GAZ, volume = "74", number = "470", pages = "395--396", month = dec, year = "1990", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/3618159", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", } @Article{Bailey:1991:BRD, author = "David H. Bailey", title = "Book Review: {Jonathan Borwein and Peter Borwein, \booktitle{A Dictionary of Real Numbers}, Wadsworth \& Brooks\slash Cole Advanced Books \& Software, Pacific Grove, California, 1990, viii + 424 pp., 281 cm. Price \$69.95}", journal = j-MATH-COMPUT, volume = "56", number = "193", pages = "403--404", month = jan, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/2008568", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } @PhdThesis{Marcos:1991:CPB, author = "Raydan M. Marcos", title = "Convergence properties of the {Barzilai} and {Borwein} gradient method", type = "Thesis (Ph.D.)", school = "Rice University", address = "Houston, TX, USA", pages = "60", year = "1991", MRclass = "Thesis", MRnumber = "2686532", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://search.proquest.com/docview/303929682", acknowledgement = ack-nhfb, } @Article{Zhuang:1991:BCC, author = "D. M. Zhuang", title = "Bases of convex cones and {Borwein}'s proper efficiency", journal = j-J-OPT-THEORY-APPL, volume = "71", number = "3", pages = "613--620", year = "1991", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/BF00941407", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "90C29 (46B40 52A07)", MRnumber = "1137158", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Raydan:1993:BBC, author = "Marcos Raydan", title = "On the {Barzilai} and {Borwein} choice of steplength for the gradient method", journal = j-IMA-J-NUMER-ANAL, volume = "13", number = "3", pages = "321--326", year = "1993", CODEN = "IJNADN", DOI = "https://doi.org/10.1093/imanum/13.3.321", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C30 (65K05)", MRnumber = "1225468", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Bejancu:1994:EBP, author = "Aurelian Bejancu", title = "On the {Ekeland} and {Borwein--Preiss} principles in finite dimensions", journal = "An. {\c{S}}tiin{\c{t}}. Univ. Al. I. Cuza Ia{\c{s}}i Sec{\c{t}}. I a Mat.", volume = "40", number = "1", pages = "63--67", year = "1994", CODEN = "AUZMAV", ISSN = "0041-9109", MRclass = "49J45 (49J52 49K40)", MRnumber = "1328948", MRreviewer = "Giandomenico Mastroeni", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Analele {\c{S}}tiin{\c{t}}ifice ale Universit{\u{a}}{\c{t}}ii ``Al. I. Cuza'' din Ia{\c{s}}i. Sec{\c{t}}iunea I a Matematic{\u{a}}", } @Article{Yang:1994:EBP, author = "Xin Min Yang", title = "The equivalence of {Benson} proper efficient solutions and {Borwein} proper efficient solutions", journal = "Math. Appl. (Wuhan)", volume = "7", number = "2", pages = "246--247", year = "1994", ISSN = "1001-9847", MRclass = "90C29", MRnumber = "1288880", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Mathematica Applicata. Yingyong Shuxue", } @Article{Berndt:1995:RTE, author = "Bruce C. Berndt and S. Bhargharva and Frank G. Garvan", title = "{Ramanujan}'s theories of elliptic functions to alternative bases", journal = j-TRANS-AM-MATH-SOC, volume = "347", number = "11", pages = "4163--4124", month = nov, year = "1995", CODEN = "TAMTAM", ISSN = "0002-9947 (print), 1088-6850 (electronic)", ISSN-L = "0002-9947", bibdate = "Tue Aug 16 09:20:56 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ams.org/journals/tran/1995-347-11/S0002-9947-1995-1311903-0/S0002-9947-1995-1311903-0.pdf", abstract = "In his famous paper on modular equations and approximations to $ \pi $, Ramanujan offers several series representations for $ 1 / \pi $, which he claims are derived from ``corresponding theories'' in which the classical base $q$ is replaced by one of three other bases. The formulas for $ 1 / \pi $ were only recently proved by J. M. and P. B. Borwein in 1987, but these ``corresponding theories'' have never been heretofore developed. However, on six pages of his notebooks, Ramanujan gives approximately 50 results without proofs in these theories. The purpose of this paper is to prove all of these claims, and several further results are established as well.", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/tran/", } @Unpublished{Finch:1995:MBB, author = "Steven Finch", title = "The Miraculous {Bailey--Borwein--Plouffe} Pi Algorithm", day = "1", month = oct, year = "1995", bibdate = "Tue Apr 26 15:43:06 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", note = "Recent URLs redirect to an unrelated site, but the one given here worked on 26-Apr-2011.", URL = "http://replay.web.archive.org/20020917121814/http://www.mathsoft.com/ASOLVE/plouffe/plouffe.html", acknowledgement = ack-nhfb, urlbad = "http://www.mathsoft.com/ASOLVE/plouffe/plouffe.html", } @InProceedings{Sole:1995:A, author = "Patrick Sole", title = "{$ D_4 $}, {$ E_6 $}, {$ E_8 $} and the {AGM}", crossref = "Cohen:1995:AAA", pages = "448--455", year = "1995", DOI = "https://doi.org/10.1007/3-540-60114-7_35", bibdate = "Tue Mar 14 15:36:33 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/agm.bib", abstract = "We derive Jacobi's quartic identity and the Borweins' cubic identity related to Ramanujan's quadratic modular equation on theta series by lattice enumerative methods. Both identities are instrumental in recent work of the Borweins on the Arithmetic Geometric Mean. Of great use are the constructions of the root lattices $ D_4 $ and $ E_6 $ by binary and ternary codes respectively. A third identity, equally due to the Borweins is also derived in relation to the root lattice $ E_8 $.", acknowledgement = ack-nhfb, } @Article{Molina:1996:PBB, author = "Brigida Molina and Marcos Raydan", title = "Preconditioned {Barzilai--Borwein} method for the numerical solution of partial differential equations", journal = j-NUMER-ALGORITHMS, volume = "13", number = "1--2", pages = "45--60", year = "1996", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/BF02143126", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "65F10 (65F50 65L10)", MRnumber = "1417682", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", } @Article{Raydan:1997:BBG, author = "Marcos Raydan", title = "The {Barzilai} and {Borwein} gradient method for the large scale unconstrained minimization problem", journal = j-SIAM-J-OPT, volume = "7", number = "1", pages = "26--33", year = "1997", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/S1052623494266365", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "90C30 (65K05)", MRnumber = "1430555", MRreviewer = "Nada I. Djuranovi{\'c}-Mili{\v{c}}i{\v{c}}", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Takahashi:1997:IAC, author = "Daisuke Takahashi and Yasumasa Kanada", title = "Improvement of the algorithms for $ \pi $ calculation: the {Gauss--Legendre} algorithm and the {Borwein}'s quartically convergent algorithm", journal = j-TRANS-INFO-PROCESSING-SOC-JAPAN, volume = "38", number = "11", pages = "2406--2409", year = "1997", CODEN = "JSGRD5", ISSN = "0387-5806", ISSN-L = "0387-5806", MRclass = "65A05", MRnumber = "1492444", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Information Processing Society of Japan. Transactions", journal-URL = "http://www.ipsj.or.jp/english/transactions.html", } @Article{Almkvist:1999:BBA, author = "Gert Almkvist and Andrew Granville", title = "{Borwein} and {Bradley}'s {Ap{\'e}ry}-like formulae for $ \zeta (4 n + 3) $", journal = j-EXP-MATH, volume = "8", number = "2", pages = "197--203", year = "1999", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.1999.10504398", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", MRclass = "11Y60 (11M06)", MRnumber = "1700578", MRreviewer = "A. J. van der Poorten", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://projecteuclid.org/euclid.em; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib", URL = "http://projecteuclid.org/euclid.em/1047477060", abstract = "We prove a formula for $ \zeta (4 n + 3) $ discovered by Borwein and Bradley (Experimental Mathematics {\bf 6}:3 (1997), 181 -194).", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", } @Article{Cass:1999:BRP, author = "Peter Cass", title = "Book Review: {{\booktitle{Pi and the AGM}}}", journal = j-MATH-GAZ, volume = "83", number = "497", pages = "334--335", month = jul, year = "1999", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/3619084", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", } @InCollection{Deville:199x:ADT, author = "Robert Deville", booktitle = "S{\'e}minaire d'Initiation {\`a} l'Analyse", title = "Autour du th{\'e}or{\`e}me de {Borwein} et {Preiss}. ({French}) [{On} the theorem of {Borwein} and {Preiss}]", volume = "95", publisher = "Univ. Paris VI, Paris", pages = "Exp.\ No.\ 25, 7", year = "199x", MRclass = "49L25 (47H99 47N10 49J52)", MRnumber = "1174766", MRreviewer = "Dominikus Noll", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Publ. Math. Univ. Pierre et Marie Curie", acknowledgement = ack-nhfb, language = "French", } @Article{Abbott:2000:BRP, author = "Steve Abbott", title = "Book Review: {{\booktitle{Pi: A Source Book}}}", journal = j-MATH-GAZ, volume = "84", number = "501", pages = "547", month = nov, year = "2000", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/3620801", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", } @Article{Foster:2000:IBE, author = "William Foster and Ilia Krasikov", title = "An improvement of a {Borwein--Erd{\'e}lyi--K{\'o}s} result", journal = j-METHODS-APPL-ANAL, volume = "7", number = "4", pages = "605--614", year = "2000", DOI = "https://doi.org/10.4310/MAA.2000.v7.n4.a1", ISSN = "1073-2772 (print), 1945-0001 (electronic)", ISSN-L = "1073-2772", MRclass = "41A10", MRnumber = "1868548", MRreviewer = "Haidar G. Khajah", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Methods and Applications of Analysis", journal-URL = "http://www.intlpress.com/MAA/", } @Article{Kitazume:2000:BIV, author = "Masaaki Kitazume and Masahiko Miyamoto and Hiromichi Yamada", title = "{Borwein} identity and vertex operator algebras", journal = j-J-NUMBER-THEORY, volume = "82", number = "1", pages = "100--108", year = "2000", CODEN = "JNUTA9", DOI = "https://doi.org/10.1006/jnth.1999.2482", ISSN = "0022-314x (print), 1096-1658 (electronic)", ISSN-L = "0022-314X", MRclass = "17B69 (11F22)", MRnumber = "1755157", MRreviewer = "Michael Roitman", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0022314X99924824", abstract = "We will prove the Borwein identity by computing the characters of some automorphisms of the lattice vertex operator algebra (VOA) of type E6. As similar examples, we will prove two identities containing the famous Jacobi identity, which was also obtained from the VOA of type D4 by Frenkel Lepowsky Meurman. Our method is a variant of observations made by the above authors.", acknowledgement = ack-nhfb, fjournal = "Journal of Number Theory", journal-URL = "http://www.sciencedirect.com/science/journal/0022314X", keywords = "Borwein identity; Jacobi identity; lattice vertex operator algebras; Root lattices; Weyl groups", } @Article{Komatsu:2000:IDA, author = "Takao Komatsu", title = "On inhomogeneous {Diophantine} approximation and the {Borweins}' algorithm", journal = "S{\=u}rikaisekikenky{\=u}sho K\=oky{\=u}roku", volume = "1160", pages = "155--162", year = "2000", MRclass = "11J20", MRnumber = "1799157", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Analytic number theory and related topics (Japanese) (Kyoto, 1999).", acknowledgement = ack-nhfb, fjournal = "S{\=u}rikaisekikenky{\=u}sho K\=oky{\=u}roku", } @Article{Li:2000:GEV, author = "Yongxin Li and Shuzhong Shi", title = "A generalization of {Ekeland}'s $ \epsilon $-variational principle and its {Borwein--Preiss} smooth variant", journal = j-J-MATH-ANAL-APPL, volume = "246", number = "1", pages = "308--319", year = "2000", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.2000.6813", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "49J53 (49J50 58C20 90C48)", MRnumber = "1761165", MRreviewer = "Zsolt P{\'a}les", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Liu:2000:BCT, author = "Zhi-Guo Liu", title = "The {Borweins}' cubic theta function identity and some cubic modular identities of {Ramanujan}", journal = j-RAMANUJAN-J, volume = "4", number = "1", pages = "43--50", year = "2000", CODEN = "RAJOF9", DOI = "https://doi.org/10.1023/A:1009825922114", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "33E05 (11F11 11F27 33D15)", MRnumber = "1754630", MRreviewer = "Bruce C. Berndt", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @Article{Yongxin:2000:GEV, author = "Li Yongxin and Shi Shuzhong", title = "A Generalization of {Ekeland}'s $ \epsilon $-Variational Principle and Its {Borwein--Preiss} Smooth Variant", journal = j-J-MATH-ANAL-APPL, volume = "246", number = "1", pages = "308--319", year = "2000", CODEN = "JMANAK", DOI = "https://doi.org/10.1006/jmaa.2000.6813", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", bibdate = "Fri Aug 12 10:34:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0022247X00968136", abstract = "We give a generalization of Ekeland's $ \epsilon $-Variational Principle and of its Borwein Preiss smooth variant, replacing the distance and the norm by a gauge-type lower semi-continuous function. As an application of this generalization, we show that if on a Banach space $X$ there exists a Lipschitz $ \beta $-smooth ``bump function'', then every continuous convex function on an open subset $U$ of $X$ is densely $ \beta $-differentiable in $U$. This generalizes the Borwein Preiss theorem on the differentiability of convex functions.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Kohlenbach:2001:QVT, author = "Ulrich Kohlenbach", title = "A quantitative version of a theorem due to {Borwein--Reich--Shafrir}", journal = j-NUMER-FUNCT-ANAL-OPTIM, volume = "22", number = "5--6", pages = "641--656", year = "2001", CODEN = "NFADOL", DOI = "https://doi.org/10.1081/NFA-100105311", ISSN = "0163-0563 (print), 1532-2467 (electronic)", ISSN-L = "0163-0563", MRclass = "47H10 (03F60 47H09 47J25 65J15)", MRnumber = "1849571", MRreviewer = "S. L. Singh", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Functional Analysis and Optimization. An International Journal", journal-URL = "http://www.tandfonline.com/loi/lnfa20", } @InCollection{Lewis:2001:BCT, author = "Richard Lewis and Zhi-Guo Liu", booktitle = "Symbolic computation, number theory, special functions, physics and combinatorics ({Gainesville}, {FL}, 1999)", title = "The {Borweins}' cubic theta functions and $q$-elliptic functions", volume = "4", publisher = "Kluwer Acad. Publ., Dordrecht", pages = "133--145", year = "2001", DOI = "https://doi.org/10.1007/978-1-4613-0257-5_8", MRclass = "33D15 (11B65)", MRnumber = "1880083", MRreviewer = "P. D. F. Ion", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Dev. Math.", acknowledgement = ack-nhfb, } @InCollection{Liu:2001:SES, author = "Zhi-Guo Liu", booktitle = "Symbolic computation, number theory, special functions, physics and combinatorics ({Gainesville}, {FL}, 1999)", title = "Some {Eisenstein} series identities associated with the {Borwein} functions", volume = "4", publisher = "Kluwer Acad. Publ., Dordrecht", pages = "147--169", year = "2001", DOI = "https://doi.org/10.1007/978-1-4613-0257-5_9", MRclass = "11F27 (33D15)", MRnumber = "1880084", MRreviewer = "Jeremy Lovejoy", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Dev. Math.", acknowledgement = ack-nhfb, } @Article{Seife:2001:PKE, author = "Charles Seife", title = "Pi Keeps 'Em Guessing", journal = j-SCIENCE, volume = "??", number = "??", pages = "??--??", month = "????", year = "2001", CODEN = "SCIEAS", DOI = "", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Aug 10 18:56:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencemag.org/news/2001/07/pi-keeps-em-guessing", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", keywords = "David Bailey; Jonathan Borwein; Richard Crandall", } @InCollection{Warnaar:2001:GBC, author = "S. Ole Warnaar", booktitle = "{$q$}-series with applications to combinatorics, number theory, and physics ({Urbana}, {IL}, 2000)", title = "The generalized {Borwein} conjecture. {I}. {The} {Burge} transform", volume = "291", publisher = "Amer. Math. Soc., Providence, RI", pages = "243--267", year = "2001", DOI = "https://doi.org/10.1090/conm/291/04906", MRclass = "05A19 (05A17 11P81 33D15 82B23)", MRnumber = "1874535", MRreviewer = "Anne Schilling", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Dai:2002:LCB, author = "Yu-Hong Dai and Li-Zhi Liao", title = "{$ \bf R $}-linear convergence of the {Barzilai} and {Borwein} gradient method", journal = j-IMA-J-NUMER-ANAL, volume = "22", number = "1", pages = "1--10", month = jan, year = "2002", CODEN = "IJNADN", DOI = "https://doi.org/10.1093/imanum/22.1.1", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C30 (65K05 90C06)", MRnumber = "1880051", MRreviewer = "Marcos Raydan", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/", URL = "http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/220001.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_01/pdf/220001.pdf", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Grippo:2002:NGT, author = "L. Grippo and M. Sciandrone", title = "Nonmonotone globalization techniques for the {Barzilai--Borwein} gradient method", journal = j-COMP-OPTIM-APPL, volume = "23", number = "2", pages = "143--169", year = "2002", CODEN = "CPPPEF", DOI = "https://doi.org/10.1023/A:1020587701058", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C30 (65K10 90C26)", MRnumber = "1937087", MRreviewer = "Marco Gaviano", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @InCollection{Komatsu:2002:IDA, author = "Takao Komatsu", booktitle = "Analytic number theory ({Beijing\slash Kyoto}, 1999)", title = "On inhomogeneous {Diophantine} approximation and the {Borweins}' algorithm. {II}", volume = "6", publisher = "Kluwer Acad. Publ., Dordrecht", pages = "223--242", year = "2002", DOI = "https://doi.org/10.1007/978-1-4757-3621-2_15", MRclass = "11J20 (11J70)", MRnumber = "1901985", MRreviewer = "Richard T. Bumby", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Dev. Math.", acknowledgement = ack-nhfb, } @Article{Lupas:2002:SBF, author = "Alexandru Lupa{\c{s}}", title = "Some {BBP}-functions", journal = "Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat.", volume = "13", pages = "26--29 (2003)", year = "2002", DOI = "https://doi.org/10.2298/PETF0213026L", ISSN = "0353-8893 (print), 2406-0852 (electronic)", ISSN-L = "0353-8893", MRclass = "30D10", MRnumber = "1992836", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Univerzitet u Beogradu. Publikacije Elektrotehni\v ckog Fakulteta. Serija Matematika", } @Article{Raydan:2002:RSD, author = "Marcos Raydan and Benar F. Svaiter", title = "Relaxed steepest descent and {Cauchy--Barzilai--Borwein} method", journal = j-COMP-OPTIM-APPL, volume = "21", number = "2", pages = "155--167", year = "2002", CODEN = "CPPPEF", DOI = "https://doi.org/10.1023/A:1013708715892", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90C52 (90C20)", MRnumber = "1883751", MRreviewer = "Christian Zillober", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Reisner:2002:NTB, author = "Shlomo Reisner", title = "A note on a theorem of {Borwein}, {Borwein}, {Fee} and {Girgensohn}", journal = j-MATH-INEQUAL-APPL, volume = "5", number = "4", pages = "753--754", year = "2002", DOI = "https://doi.org/10.7153/mia-05-76", ISSN = "1331-4343 (print), 1848-9966 (electronic)", MRclass = "52A38 (26D15 33B15 52A22)", MRnumber = "1931236", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, ajournal = "Math. Inequal. Appl.", fjournal = "Mathematical Inequalities \& Applications", journal-URL = "http://mia.ele-math.com/", } @Article{Thangadurai:2002:NCB, author = "R. Thangadurai", title = "A note on a conjecture of {Borwein} and {Choi}", journal = "Arch. Math. (Basel)", volume = "78", number = "5", pages = "386--396", year = "2002", CODEN = "ACVMAL", DOI = "https://doi.org/10.1007/s00013-002-8263-8", ISSN = "0003-889x (print), 1420-8938 (electronic)", MRclass = "11T22 (11R18)", MRnumber = "1903674", MRreviewer = "Lawrence Washington", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Archiv der Mathematik", } @Article{Chamberland:2003:BBF, author = "Marc Chamberland", title = "Binary {BBP}-formulae for logarithms and generalized {Gaussian--Mersenne} primes", journal = j-J-INTEGER-SEQ, volume = "6", number = "3", pages = "Article 03.3.7, 10", year = "2003", ISSN = "1530-7638", MRclass = "11Y60 (11A63)", MRnumber = "2046407", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Integer Sequences", journal-URL = "https://cs.uwaterloo.ca/journals/JIS/", } @Article{Jimenez:2003:NLP, author = "B. Jim{\'e}nez and V. Novo", title = "A notion of local proper efficiency in the {Borwein} sense in vector optimisation", journal = j-ANZIAM-J, volume = "45", number = "1", pages = "75--89", month = jul, year = "2003", CODEN = "AJNOA2", DOI = "https://doi.org/10.1017/S144618110001316X", ISSN = "1446-1811 (print), 1446-8735 (electronic)", ISSN-L = "1446-1811", MRclass = "90C29 (90C46)", MRnumber = "1995211", MRreviewer = "Alberto Cambini", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The ANZIAM Journal. The Australian \& New Zealand Industrial and Applied Mathematics Journal", journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ", } @Article{Todd:2003:CAN, author = "Michael J. Todd", title = "{{\booktitle{Convex Analysis and Nonlinear Optimization: Theory and Examples}}. Jonathan M. Borwein and Adrian S. Lewis, Springer, New York, 2000} [book review]", journal = "International Journal of Robust and Nonlinear Control", volume = "13", number = "1", pages = "92--93", year = "2003", DOI = "https://doi.org/10.1002/rnc.701", ISSN = "1049-8923 (print), 1099-1239 (electronic)", ISSN-L = "1049-8923", bibdate = "Thu Aug 11 11:12:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Warnaar:2003:GBC, author = "S. Ole Warnaar", title = "The generalized {Borwein} conjecture. {II}. {Refined} $q$-trinomial coefficients", journal = j-DISCRETE-MATH, volume = "272", number = "2--3", pages = "215--258", year = "2003", CODEN = "DSMHA4", DOI = "https://doi.org/10.1016/S0012-365X(03)00047-5", ISSN = "0012-365x (print), 1872-681x (electronic)", ISSN-L = "0012-365X", MRclass = "05A15 (05A19 05A30 33D15)", MRnumber = "2009544", MRreviewer = "Anne Schilling", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0012365X03000475", abstract = "Transformation formulas for four-parameter refinements of the $q$-trinomial coefficients are proven. The iterative nature of these transformations allows for the easy derivation of several infinite series of $q$-trinomial identities, and can be applied to prove many instances of Bressoud's generalized Borwein conjecture.", acknowledgement = ack-nhfb, fjournal = "Discrete Mathematics", keywords = "$q$-Trinomial coefficients; Basic hypergeometric series; Gaussian polynomials; Rogers Ramanujan identities", } @TechReport{Crandall:2004:BIJ, author = "Richard E. Crandall", title = "On a {Bessel}-integral of {J. Borwein}", type = "Report", institution = "Reed College", address = "Portland, OR, USA", pages = "2", month = aug, year = "2004", bibdate = "Tue Mar 19 09:06:09 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib", URL = "http://people.reed.edu/~crandall/papers/borweinJ.pdf", acknowledgement = ack-nhfb, } @Article{Komatsu:2004:IDA, author = "Takao Komatsu", title = "On inhomogeneous {Diophantine} approximation and the {Borweins}' algorithm", journal = "Far East J. Math. Sci. (FJMS)", volume = "12", number = "2", pages = "203--224", year = "2004", ISSN = "0972-0871", MRclass = "11J20 (11J70)", MRnumber = "2054083", MRreviewer = "Andrew M. Rockett", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Far East Journal of Mathematical Sciences (FJMS)", } @InCollection{Dai:2005:ABB, author = "Yu-Hong Dai and Li-Zhi Liao and Duan Li", booktitle = "Optimization and control with applications", title = "An analysis of the {Barzilai} and {Borwein} gradient method for unsymmetric linear equations", volume = "96", publisher = "Springer, New York", pages = "183--211", year = "2005", DOI = "https://doi.org/10.1007/0-387-24255-4_8", MRclass = "90C20 (65F10 90C52)", MRnumber = "2144376", MRreviewer = "Maria C. Adam", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, } @Article{Dai:2005:PBB, author = "Yu-Hong Dai and Roger Fletcher", title = "Projected {Barzilai--Borwein} methods for large-scale box-constrained quadratic programming", journal = j-NUM-MATH, volume = "100", number = "1", pages = "21--47", year = "2005", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s00211-004-0569-y", ISSN = "0029-599x (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "90C20 (65K05 90C52)", MRnumber = "2129700", MRreviewer = "Paul H. Calamai", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/211", } @InCollection{Fletcher:2005:BBM, author = "Roger Fletcher", booktitle = "Optimization and control with applications", title = "On the {Barzilai--Borwein} method", volume = "96", publisher = pub-SV, address = pub-SV:adr, pages = "235--256", year = "2005", DOI = "https://doi.org/10.1007/0-387-24255-4_10", MRclass = "90C30 (90C06)", MRnumber = "2144378", MRreviewer = "V. F. Dem{\cprime}yanov", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Appl. Optim.", acknowledgement = ack-nhfb, } @Article{Georgiev:2005:PBP, author = "Pando Gr. Georgiev", title = "Parametric {Borwein--Preiss} Variational Principle and Applications", journal = j-PROC-AM-MATH-SOC, volume = "133", number = "11", pages = "3211--3225", month = nov, year = "2005", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-05-07853-6", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "49J53 (46N10 49J35 49J52 90C31 90C48 91A10)", MRnumber = "2161143", MRreviewer = "G{\'e}rard Lebourg", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/4097574", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Hersh:2005:BRM, author = "Reuben Hersh and Roger Frye", title = "Book Review: {{\booktitle{Mathematics by Experiment: Plausible Reasoning in the 21st Century}}}", journal = j-SIAM-REVIEW, volume = "47", number = "4", pages = "832--833", month = dec, year = "2005", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/20453726", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } @Article{Hoare:2005:BRM, author = "Graham Hoare", title = "Book Review: {{\booktitle{Mathematics by Experiment}}, by Jonathan M. Borwein, David H. Bailey. Plausible Reasoning in the 21st Century}", journal = j-MATH-GAZ, volume = "89", number = "514", pages = "143--144", month = mar, year = "2005", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/3620673", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", } @Article{Osburn:2005:RCB, author = "Robert Osburn", title = "A Remark on a Conjecture of {Borwein} and {Choi}", journal = j-PROC-AM-MATH-SOC, volume = "133", number = "10", pages = "2903--2909", month = oct, year = "2005", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-05-07980-3", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "11E25 (11E45)", MRnumber = "2159768", MRreviewer = "Don Redmond", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/4097904", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Shallit:2005:BRM, author = "Jeffrey Shallit", title = "Book Review: {{\booktitle{Mathematics by Experiment}}, Jonathan Borwein and David Bailey, A K Peters, 2003, 288 pages, \$45.00, ISBN 1-56881-211-6. \booktitle{Experimentation in Mathematics}, Jonathan Borwein, David Bailey, and Roland Girgensohn, A K Peters, 2004, 357 pages, \$49.00, ISBN 1-56881-136-5}", journal = j-NAMS, volume = "52", number = "8", pages = "863--865", month = sep, year = "2005", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Fri Sep 30 10:05:52 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ams.org/notices/200508/rev-shallit.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", } @Article{Zeilberger:2005:SSM, author = "Doron Zeilberger", title = "Serving a Silicon Master: Book Reviews: {{\booktitle{Mathematics by Experiment: Plausible Reasoning in the 21st Century}}. Jonathan Borwein and David Bailey, x + 288 pp. A K Peters, 2004. \$45. \booktitle{Experimentation in Mathematics: Computational Paths to Discovery}. Jonathan Borwein, David Bailey and Roland Girgensohn. + 357 pp. A Peters, 2004. \$49}", journal = j-AM-SCI, volume = "93", number = "2", pages = "182--183", month = apr, year = "2005", CODEN = "AMSCAC", ISSN = "0003-0996 (print), 1545-2786 (electronic)", ISSN-L = "0003-0996", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/27858557", acknowledgement = ack-nhfb, fjournal = "American Scientist", journal-URL = "http://www.americanscientist.org/issues/past.aspx", xxtitle = "Book Review: {{\booktitle{Review: Serving a Silicon Master}}}", } @Article{Alaca:2006:TDT, author = "Ay{\c{s}}e Alaca and {\c{S}}aban Alaca and Kenneth S. Williams", title = "On the two-dimensional theta functions of the {Borweins}", journal = j-ACTA-ARITHMETICA, volume = "124", number = "2", pages = "177--195", year = "2006", CODEN = "AARIA9", DOI = "https://doi.org/10.4064/aa124-2-4", ISSN = "0065-1036 (print), 1730-6264 (electronic)", ISSN-L = "0065-1036", MRclass = "11F27 (11D45 11E20 11E25)", MRnumber = "2262245", MRreviewer = "Xiaotie She", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Acta Arithmetica", } @Article{Dai:2006:CBB, author = "Yu-Hong Dai and William W. Hager and Klaus Schittkowski and Hongchao Zhang", title = "The cyclic {Barzilai--Borwein} method for unconstrained optimization", journal = j-IMA-J-NUMER-ANAL, volume = "26", number = "3", pages = "604--627", year = "2006", CODEN = "IJNADN", DOI = "https://doi.org/10.1093/imanum/drl006", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "90C30 (90C52)", MRnumber = "2241317", MRreviewer = "Fabi{\'a}n Flores-Baz{\'a}n", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", journal-URL = "http://imajna.oxfordjournals.org/content/by/year", } @Article{Robin:2006:BRP, author = "Anthony C. Robin", title = "Book Review: {{\booktitle{Pi: A Source Book}}}", journal = j-MATH-GAZ, volume = "90", number = "518", pages = "375--376", month = jul, year = "2006", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/40378657", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", } @Article{Zaharescu:2006:BCA, author = "Alexandru Zaharescu", title = "{Borwein}'s conjecture on average over arithmetic progressions", journal = j-RAMANUJAN-J, volume = "11", number = "1", pages = "95--102", year = "2006", CODEN = "RAJOF9", DOI = "https://doi.org/10.1007/s11139-006-5309-8", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", MRclass = "11B65 (05A30)", MRnumber = "2220659", MRreviewer = "Frank G. Garvan", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @InCollection{Zhang:2006:PPA, author = "Hongchao Zhang and William W. Hager", booktitle = "Multiscale optimization methods and applications", title = "{PACBB}: a projected adaptive cyclic {Barzilai--Borwein} method for box constrained optimization", volume = "82", publisher = "Springer, New York", pages = "387--392", year = "2006", DOI = "https://doi.org/10.1007/0-387-29550-X_21", MRclass = "90C30 (90C52)", MRnumber = "2191596", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Nonconvex Optim. Appl.", acknowledgement = ack-nhfb, } @Article{Artacho:2007:NSC, author = "Francisco J. Arag{\'o}n Artacho", title = "A new and self-contained proof of {Borwein}'s norm duality theorem", journal = j-SET-VALUED-ANAL, volume = "15", number = "3", pages = "307--315", year = "2007", CODEN = "SVANEG", DOI = "https://doi.org/10.1007/s11228-006-0040-6", ISSN = "0927-6947 (print), 1572-932x (electronic)", ISSN-L = "0927-6947", MRclass = "47H04 (47N10 54C60)", MRnumber = "2328864", MRreviewer = "Vladimir V. Goncharov", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications", journal-URL = "http://link.springer.com/journal/11228", } @Article{Gourevitch:2007:CBS, author = "Boris Gour{\'e}vitch and Jes{\'u}s Guillera Goyanes", title = "Construction of binomial sums for $ \pi $ and polylogarithmic constants inspired by {BBP} formulas", journal = "Appl. Math. E-Notes", volume = "7", pages = "237--246", year = "2007", ISSN = "1607-2510", MRclass = "40C10 (11Y60)", MRnumber = "2346048", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics E-Notes", } @Article{Hu:2007:IBB, author = "Yi-Qing Hu and Yu-Hong Dai", title = "Inexact {Barzilai--Borwein} method for saddle point problems", journal = j-NUM-LIN-ALG-APPL, volume = "14", number = "4", pages = "299--317", year = "2007", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/nla.516", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F10", MRnumber = "2310393", MRreviewer = "Paulo B. Vasconcelos", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "This paper considers the inexact Barzilai--Borwein (BB) algorithm applied to saddle point problems. To this aim, we study the convergence properties of the inexact BB algorithm for symmetric positive definite linear systems. Suppose that $ g_k $ and $ \bar {g}_k $ are the exact residual and its approximation of the linear system at the $k$ th iteration, respectively. We prove the $R$-linear convergence of the algorithm if $ || \bar {g}_k - g_k|| \leq \eta ||g_k||$ for some small $ \eta > 0$ and all $k$. To adapt the algorithm for solving saddle point problems, we also extend the $R$-linear convergence result to the case when the right-hand term $ || \bar {g}_k||$ is replaced by $ || \bar {g}_{k - 1}||$. Although our theoretical analyses cannot provide a good estimate to the parameter $ \eta $, in practice, we find that $ \eta $ can be as large as the one in the inexact Uzawa algorithm. Further numerical experiments show that the inexact BB algorithm performs well for the tested saddle point problems.", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", keywords = "Barzilai--Borwein method; R-linear convergence; saddle point problem; Uzawa algorithm", } @Article{Qiu:2007:LCL, author = "J. H. Qiu and S. Rolewicz", title = "Local completeness of locally pseudoconvex spaces and {Borwein--Preiss} variational principle", journal = j-STUDIA-MATH, volume = "183", number = "2", pages = "99--115", year = "2007", CODEN = "SMATAZ", DOI = "https://doi.org/10.4064/sm183-2-1", ISSN = "0039-3223 (print), 1730-6337 (electronic)", ISSN-L = "0039-3223", MRclass = "46A55 (46N10 49J45)", MRnumber = "2353880", MRreviewer = "Diethard Pallaschke", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Studia Mathematica", } @Article{Wang:2007:PBB, author = "Yanfei Wang and Shiqian Ma", title = "Projected {Barzilai--Borwein} method for large-scale nonnegative image restoration", journal = j-INVERSE-PROBL-SCI-ENG, volume = "15", number = "6", pages = "559--583", year = "2007", CODEN = "IPSECR", DOI = "https://doi.org/10.1080/17415970600881897", ISSN = "1741-5977 (print), 1741-5985 (electronic)", ISSN-L = "1741-5977", MRclass = "65K10 (65J20 94A08)", MRnumber = "2363732", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Inverse Problems in Science and Engineering", journal-URL = "http://www.tandfonline.com/loi/gipe20", } @Article{Guillera:2008:EPS, author = "Jes{\'u}s Guillera", title = "Easy proofs of some {Borwein} algorithms for $ \pi $", journal = j-AMER-MATH-MONTHLY, volume = "115", number = "9", pages = "850--854", month = nov, year = "2008", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11Y60", MRnumber = "2463297", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/27642614", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Lorentzen:2008:CDR, author = "Lisa Lorentzen", title = "Convergence and divergence of the {Ramanujan} {AGM} fraction", journal = j-RAMANUJAN-J, volume = "16", number = "1", pages = "83--95", month = may, year = "2008", DOI = "https://doi.org/10.1007/s11139-007-9112-y", ISSN = "1382-4090 (print), 1572-9303 (electronic)", ISSN-L = "1382-4090", bibdate = "Tue Mar 14 15:27:34 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/agm.bib", abstract = "We prove that the Ramanujan AGM fraction diverges if $ |a| = |b| $ with $ a^2 \neq b^2 $. Thereby we prove two conjectures posed by J. Borwein and R. Crandall. We also demonstrate a method for accelerating the convergence of this continued fraction when it converges.", acknowledgement = ack-nhfb, fjournal = "The {Ramanujan} Journal", journal-URL = "http://link.springer.com/journal/11139", } @Article{Xiao:2008:SBB, author = "Yunhai Xiao and Qingjie Hu", title = "Subspace {Barzilai--Borwein} gradient method for large-scale bound constrained optimization", journal = j-APPL-MATH-OPTIM, volume = "58", number = "2", pages = "275--290", year = "2008", CODEN = "AMOMBN", DOI = "https://doi.org/10.1007/s00245-008-9038-9", ISSN = "0095-4616 (print), 1432-0606 (electronic)", ISSN-L = "0095-4616", MRclass = "90C52 (65K10 90C26)", MRnumber = "2439663", MRreviewer = "C. Ilioi", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Optimization. An International Journal with Applications to Stochastics", journal-URL = "http://link.springer.com/journal/245", } @Article{Han:2009:APB, author = "Lixing Han and Michael Neumann and Upendra Prasad", title = "Alternating projected {Barzilai--Borwein} methods for nonnegative matrix factorization", journal = j-ELECTRON-TRANS-NUMER-ANAL, volume = "36", pages = "54--82", year = "2009/10", ISSN = "1068-9613 (print), 1097-4067 (electronic)", ISSN-L = "1068-9613", MRclass = "15B48 (15A23 65F05 90C52)", MRnumber = "2779998", MRreviewer = "Elena Pelican", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://etna.mcs.kent.edu/volumes/2001-2010/vol36/abstract.php?vol=36&pages=54-82", acknowledgement = ack-nhfb, fjournal = "Electronic Transactions on Numerical Analysis", journal-URL = "http://etna.mcs.kent.edu/", } @Article{Han:2009:MBB, author = "Le Han and Gao Hang Yu and L{\"u} Tai Guan", title = "Multivariate {Barzilai--Borwein} method and its application in elastic registration of medical image", journal = j-ACTA-SCI-NATUR-UNIV-SUNYATSENI, volume = "48", number = "3", pages = "8--12, 21", year = "2009", CODEN = "CHTHAJ", ISSN = "0529-6579", MRclass = "92C55", MRnumber = "2548644", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Acta Scientiarum Naturalium Universitatis Sunyatseni. Zhongshan Daxue Xuebao. Ziran Kexue Ban", } @Article{Hong:2009:NBC, author = "Shao Fang Hong and Wei Cao", title = "Notes on the {Borwein--Choi} conjecture of {Littlewood} cyclotomic polynomials", journal = "Acta Math. Sin. (Engl. Ser.)", volume = "25", number = "1", pages = "65--76", year = "2009", DOI = "https://doi.org/10.1007/s10114-008-6444-5", ISSN = "1439-7617 (print), 1439-8516 (electronic)", ISSN-L = "1439-7617", MRclass = "11R09 (11T22)", MRnumber = "2465525", MRreviewer = "Montserrat Vela", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Acta Mathematica Sinica (English Series)", } @Article{LaCruz:2009:EBB, author = "William {La Cruz}", title = "Extension of the {Barzilai--Borwein} method for quadratic forms in finite {Euclidean} spaces", journal = j-NUMER-FUNCT-ANAL-OPTIM, volume = "30", number = "3--4", pages = "306--321", year = "2009", CODEN = "NFADOL", DOI = "https://doi.org/10.1080/01630560902841179", ISSN = "0163-0563 (print), 1532-2467 (electronic)", ISSN-L = "0163-0563", MRclass = "90C20 (65K10)", MRnumber = "2514219", MRreviewer = "Mirjam D{\"u}r", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Functional Analysis and Optimization. An International Journal", journal-URL = "http://www.tandfonline.com/loi/lnfa20", } @Article{Lord:2009:BRE, author = "Nick Lord", title = "Book Review: {{\booktitle{Experimental Mathematics in Action}}}", journal = j-MATH-GAZ, volume = "93", number = "528", pages = "564--566", month = nov, year = "2009", CODEN = "MAGAAS", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/40378594", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", } @InCollection{Narushima:2009:EBB, author = "Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe", booktitle = "Nonlinear analysis and convex analysis", title = "Extended {Barzilai--Borwein} method for minimizing a strictly convex quadratic function", publisher = "Yokohama Publ., Yokohama", pages = "141--150", year = "2009", MRclass = "90C20 (90C52)", MRnumber = "2906496", MRreviewer = "Wies{\l}awa T. Obuchowska", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Rajkovic:2009:GBC, author = "Predrag M. Rajkovi{\'c} and Marko D. Petkovi{\'c}", title = "Generalized {Borwein} conjecture and partitions of natural numbers", journal = "Funct. Anal. Approx. Comput.", volume = "1", number = "2", pages = "47--56", year = "2009", ISSN = "1821-410X (print), 2406-1573 (electronic)", ISSN-L = "1821-410X", MRclass = "05A30 (11B83)", MRnumber = "2662890", MRreviewer = "David M. Bressoud", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Functional Analysis, Approximation and Computation", } @Article{Adegoke:2010:HDI, author = "Kunle Adegoke and Olawanle Layeni", title = "The higher derivatives of the inverse tangent function and rapidly convergent {BBP}-type formulas for pi", journal = "Appl. Math. E-Notes", volume = "10", pages = "70--75", year = "2010", ISSN = "1607-2510", MRclass = "65D20 (26A24 40A25 41A58)", MRnumber = "2606839", MRreviewer = "Vito Lampret", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics E-Notes", } @Article{Adegoke:2010:NBT, author = "Kunle Adegoke", title = "New binary and ternary digit extraction ({BBP}-type) formulas for trilogarithm constants", journal = "New York J. Math.", volume = "16", pages = "361--367", year = "2010", ISSN = "1076-9803", MRclass = "11Y60 (33B30)", MRnumber = "2740581", MRreviewer = "Shaun Cooper", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://nyjm.albany.edu:8000/j/2010/16_361.html", acknowledgement = ack-nhfb, fjournal = "New York Journal of Mathematics", } @Article{Bankov:2010:BRC, author = "Kiril Bankov", title = "Book Review: {{\booktitle{Communicating mathematics in the digital era}}, by J. M. Borwein, E. M. Rocha, and J. F. Rodrigues. Pp. 325. \$49.00 (Hardback), 2008. ISBN 978-1-56881-410-0 (A K Peters, Ltd.)}", journal = j-MATH-GAZ, volume = "94", number = "531", pages = "557--559", month = nov, year = "2010", CODEN = "MAGAAS", DOI = "https://doi.org/10.2307/3618677", ISSN = "0025-5572 (print), 2056-6328 (electronic)", ISSN-L = "0025-5572", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://journals.cambridge.org/action/displayIssue?jid=MAG&volumeId=94&issueId=531; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib", URL = "http://www.jstor.org/stable/25759758", acknowledgement = ack-nhfb, ajournal = "Math. Gaz.", fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", xxnote = "Check downcased author string??", } @Article{Bauschke:2010:BWD, author = "Heinz H. Bauschke and Xianfu Wang and Liangjin Yao", title = "On {Borwein--Wiersma} decompositions of monotone linear relations", journal = j-SIAM-J-OPT, volume = "20", number = "5", pages = "2636--2652", year = "2010", CODEN = "SJOPE8", DOI = "https://doi.org/10.1137/09078016X", ISSN = "1052-6234 (print), 1095-7189 (electronic)", ISSN-L = "1052-6234", MRclass = "47H05 (47N10 90C25)", MRnumber = "2678408", MRreviewer = "Teemu Pennanen", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Optimization", journal-URL = "http://epubs.siam.org/siopt", } @Article{Cvijovic:2010:PBB, author = "Djurdje Cvijovi{\'c}", title = "Proof of the {Borwein--Broadhurst} conjecture for a dilogarithmic integral arising in quantum field theory", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "31", month = oct, year = "2010", bibdate = "Thu Aug 11 14:04:25 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1011.0195", acknowledgement = ack-nhfb, pagecount = "8", } @Article{Narushima:2010:EBB, author = "Yasushi Narushima and Takahiko Wakamatsu and Hiroshi Yabe", title = "Extended {Barzilai--Borwein} method for unconstrained minimization problems", journal = "Pac. J. Optim.", volume = "6", number = "3", pages = "591--613", year = "2010", ISSN = "1348-9151 (print), 1349-8169 (electronic)", ISSN-L = "1348-9151", MRclass = "90C30 (65K10 90C06)", MRnumber = "2743046", MRreviewer = "Orizon P. Ferreira", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Optimization. An International Journal", } @Article{Zhang:2010:NFB, author = "Yan Zhang and Wenyu Sun and Liqun Qi", title = "A nonmonotone filter {Barzilai--Borwein} method for optimization", journal = "Asia-Pac. J. Oper. Res.", volume = "27", number = "1", pages = "55--69", year = "2010", DOI = "https://doi.org/10.1142/S0217595910002582", ISSN = "0217-5959 (print), 1793-7019 (electronic)", ISSN-L = "0217-5959", MRclass = "90C53 (65K10 90C26)", MRnumber = "2646952", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Asia-Pacific Journal of Operational Research", } @Article{Zhao:2010:CBB, author = "Jianqiang Zhao", title = "On a conjecture of {Borwein}, {Bradley} and {Broadhurst}", journal = j-J-REINE-ANGEW-MATH, volume = "639", pages = "223--233", year = "2010", CODEN = "JRMAA8", DOI = "https://doi.org/10.1515/CRELLE.2010.016", ISSN = "0075-4102 (print), 1435-5345 (electronic)", ISSN-L = "0075-4102", MRclass = "11M32", MRnumber = "2608196", MRreviewer = "Qingxue Wang", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal f{\"u}r die Reine und Angewandte Mathematik. [Crelle's Journal]", } @Article{Adegoke:2011:SRB, author = "Kunle Adegoke", title = "Symbolic routes to {BBP}-type formulas of any degree in arbitrary bases", journal = "Appl. Math. Inf. Sci.", volume = "5", number = "2", pages = "264--275", year = "2011", ISSN = "1935-0090 (print), 2325-0399 (electronic)", ISSN-L = "1935-0090", MRclass = "11Y60", MRnumber = "2803495", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics \& Information Sciences", } @Article{Bingham:2011:HKB, author = "N. H. Bingham and A. J. Ostaszewski", title = "Homotopy and the {Kestelman--Borwein--Ditor} theorem", journal = j-CAN-MATH-BULL, volume = "54", number = "1", pages = "12--20", year = "2011", CODEN = "CMBUA3", DOI = "https://doi.org/10.4153/CMB-2010-093-4", ISSN = "0008-4395 (print), 1496-4287 (electronic)", ISSN-L = "0008-4395", MRclass = "26A03 (54E52)", MRnumber = "2797483", MRreviewer = "W{\l}adys{\l}aw Wilczy{\'n}ski", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Bulletin. Bulletin Canadien de Math{\'e}matiques", journal-URL = "http://cms.math.ca/cmb/", } @Article{Li:2011:FSM, author = "Xiangli Li and Hongwei Liu and Xiaojun Sun", title = "Feasible smooth method based on {Barzilai--Borwein} method for stochastic linear complementarity problem", journal = j-NUMER-ALGORITHMS, volume = "57", number = "2", pages = "207--215", year = "2011", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/s11075-010-9424-7", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "90C33 (65C30 90C15)", MRnumber = "2794478", MRreviewer = "Huifu Xu", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", } @Article{Musev:2011:QJB, author = "Boil Musev and Nadezhda Ribarska", title = "On a question of {J. Borwein} and {H. Wiersma}", journal = j-PROC-AM-MATH-SOC, volume = "139", number = "5", pages = "1707--1716", year = "2011", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-2010-10602-0", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "47H05 (49J53 52A41)", MRnumber = "2763759", MRreviewer = "S{\'a}ndor Z. N{\'e}meth", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", } @Article{Odlyzko:2011:BRE, author = "Andrew Odlyzko", title = "Book Review: {{\booktitle{Experimental Mathematics in Action}}, by D. H. Bailey, J. M. Borwein, N. J. Calkin, R. Girgensohn, D. R. Luke, and V. H. Moll. A K Peters, Wellesley, MA, 2007. xii + 322 pp., ISBN 978-1-56881-271-7. \$65}", journal = j-AMER-MATH-MONTHLY, volume = "118", number = "10", pages = "946--951", month = dec, year = "2011", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.118.10.946", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.118.10.946", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxtitle = "Book Review: {{\booktitle{Review: Review}}}", } @Article{Pilehrood:2011:ABB, author = "Kh. Hessami Pilehrood and T. Hessami Pilehrood", title = "A $q$-analogue of the {Bailey--Borwein--Bradley} identity", journal = j-J-SYMBOLIC-COMP, volume = "46", number = "6", pages = "699--711", year = "2011", CODEN = "JSYCEH", DOI = "https://doi.org/10.1016/j.jsc.2011.01.006", ISSN = "0747-7171 (print), 1095-855x (electronic)", ISSN-L = "0747-7171", MRclass = "11B65", MRnumber = "2781948", MRreviewer = "Jaroslav Seibert", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0747717111000186", abstract = "We establish a $q$-analogue of the Bailey--Borwein--Bradley identity generating accelerated series for even zeta values and prove $q$ analogues of Markov's and Amdeberhan's series for $ \zeta (3)$ using the $q$-Markov WZ method.", acknowledgement = ack-nhfb, fjournal = "Journal of Symbolic Computation", journal-URL = "http://www.sciencedirect.com/science/journal/07477171", keywords = "$q$-analogue; $q$-Markov Wilf Zeilberger method; $q$-Markov WZ pair; Ap{\'e}ry-like series; Convergence acceleration; Generating function; zeta values", } @Article{Xie:2011:SSC, author = "Zhipeng Xie and Songcan Chen", title = "{SCIHTBB}: Sparsity constrained iterative hard thresholding with {Barzilai--Borwein} step size", journal = j-NEUROCOMPUTING, volume = "74", number = "17", pages = "3663--3676", year = "2011", CODEN = "NRCGEO", DOI = "https://doi.org/10.1016/j.neucom.2011.07.003", ISSN = "0925-2312 (print), 1872-8286 (electronic)", ISSN-L = "0925-2312", bibdate = "Fri Aug 12 10:34:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0925231211003857", abstract = "Iterative hard thresholding (IHT) is a class of effective methods to compute sparse solution for underdetermined linear system. In this paper, an efficient IHT method with theoretical guarantee is proposed and named SCIHTBB with attractive features: (1) Monotone and Non-Monotone versions are presented with initial Barzilai Borwein step size and finite step line search. (2) Convergence analysis has been developed based on the asymmetrical restricted isometry property. (3) An adaptive sparsity framework is provided to tackle the problem with unknown sparsity. (4) Some extensions are presented to handle group sparsity, non-negative sparsity and matrix rank minimization. Experimental comparisons with some state of the art methods verify that SCIHTBB is faster and more accurate for compressive sensing and matrix completion.", acknowledgement = ack-nhfb, fjournal = "Neurocomputing", keywords = "Asymmetrical restricted isometry property; BB step size; Compressive sensing; Convergence analysis; Line search; Matrix completion", } @Article{Adegoke:2012:NAD, author = "Kunle Adegoke", title = "A novel approach to the discovery of binary {BBP}-type formulas for polylogarithm constants", journal = j-INTEGERS, volume = "12", number = "3", pages = "345--371", year = "2012", CODEN = "INTEHN", DOI = "https://doi.org/10.1515/integ.2011.105", ISSN = "1867-0652 (print), 1867-0660 (electronic)", MRclass = "33Bxx (11Y60)", MRnumber = "2955519", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Integers", journal-URL = "http://www.degruyter.com/view/j/integ", } @Article{Crandall:2012:GTB, author = "Richard Crandall", title = "The googol-th bit of the {Erd{\H{o}}s--Borwein} constant", journal = j-INTEGERS, volume = "12", number = "5", pages = "811--840", year = "2012", CODEN = "INTEHN", DOI = "https://doi.org/10.1515/integers-2012-0007", ISSN = "1867-0652 (print), 1867-0660 (electronic)", MRclass = "11A63 (11A25 11J72 11Y60)", MRnumber = "2988549", MRreviewer = "Jeffrey O. Shallit", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Integers", journal-URL = "http://www.degruyter.com/view/j/integ", } @Article{Jiang:2012:BBB, author = "Jianlin Jiang and Xiaoming Yuan", title = "A {Barzilai--Borwein}-based heuristic algorithm for locating multiple facilities with regional demand", journal = j-COMP-OPTIM-APPL, volume = "51", number = "3", pages = "1275--1295", year = "2012", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-010-9392-9", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "90B85", MRnumber = "2891938", MRreviewer = "Jack Brimberg", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @Article{Miller:2012:MBD, author = "Harry I. Miller and Leila Miller-Van Wieren", title = "More on the {Borwein--Ditor} theorem", journal = "Sarajevo J. Math.", volume = "8(21)", number = "2", pages = "367--369", year = "2012", DOI = "https://doi.org/10.5644/SJM.08.2.15", ISSN = "1840-0655 (print), 2233-1964 (electronic)", ISSN-L = "1840-0655", MRclass = "40D25 (28A12)", MRnumber = "3057893", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Sarajevo Journal of Mathematics", } @Article{Xia:2012:ESI, author = "Ernest X. W. Xia and Olivia X. M. Yao", title = "{Eisenstein} series identities involving the {Borweins}' cubic theta functions", journal = j-J-APPL-MATH, volume = "2012", pages = "181264", year = "2012", DOI = "https://doi.org/10.1155/2012/181264", ISSN = "1110-757X (print), 1687-0042 (electronic)", ISSN-L = "1110-757X", MRclass = "11F27", MRnumber = "2979437", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.hindawi.com/journals/jam/2012/181264/", acknowledgement = ack-nhfb, fjournal = "Journal of Applied Mathematics", journal-URL = "http://www.hindawi.com/journals/jam/", pagecount = "14", } @Article{Xiao:2012:MCG, author = "Yunhai Xiao and Huina Song and Zhiguo Wang", title = "A modified conjugate gradient algorithm with cyclic {Barzilai--Borwein} steplength for unconstrained optimization", journal = j-J-COMPUT-APPL-MATH, volume = "236", number = "13", pages = "3101--3110", year = "2012", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2012.01.032", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "90C52 (65K10)", MRnumber = "2912677", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S037704271200043X", abstract = "For solving large-scale unconstrained minimization problems, the nonlinear conjugate gradient method is welcome due to its simplicity, low storage, efficiency and nice convergence properties. Among all the methods in the framework, the conjugate gradient descent algorithm CG\_DESCENT is very popular, in which the generated directions descend automatically, and this nice property is independent of any line search used. In this paper, we generalize CG\_DESCENT with two Barzilai Borwein steplength reused cyclically. We show that the resulting algorithm owns attractive sufficient descent property and converges globally under some mild conditions. We test the proposed algorithm by using a large set of unconstrained problems with high dimensions in CUTEr library. The numerical comparisons with the state-of-the-art algorithm CG\_DESCENT illustrate that the proposed method is effective, competitive, and promising.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", keywords = "Barzilai Borwein steplength; CG\_DESCENT; Conjugate gradient method; CUTEr library; Wolfe condition", } @Article{Yuan:2012:BBG, author = "Gonglin Yuan and Zengxin Wei", title = "The {Barzilai} and {Borwein} gradient method with nonmonotone line search for nonsmooth convex optimization problems", journal = "Math. Model. Anal.", volume = "17", number = "2", pages = "203--216", year = "2012", DOI = "https://doi.org/10.3846/13926292.2012.661375", ISSN = "1392-6292 (print), 1648-3510 (electronic)", ISSN-L = "1392-6292", MRclass = "90C25 (49M37 65K05)", MRnumber = "2904364", MRreviewer = "Yves Lucet", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Mathematical Modelling and Analysis", } @Article{Zhang:2012:BTF, author = "Wenlong Zhang and He-Shan Song", title = "{BBP}-type formulae modulo $5$", journal = j-UTIL-MATH, volume = "89", pages = "107--112", year = "2012", CODEN = "UTMADA", ISSN = "0315-3681", MRclass = "40C10", MRnumber = "3014639", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Utilitas Mathematica", journal-URL = "http://bkocay.cs.umanitoba.ca/utilitas/index.html", } @Article{Zhou:2012:EBP, author = "Zhi Ang Zhou", title = "Equivalence of the {Borwein} properly efficient solution and the {Benson} properly efficient solution of a set-valued optimization problem", journal = "Math. Pract. Theory", volume = "42", number = "1", pages = "247--250", year = "2012", ISSN = "1000-0984", MRclass = "49J53 (90C29)", MRnumber = "2977049", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian yu Renshi", } @Article{Adegoke:2013:FPD, author = "Kunle Adegoke", title = "Formal proofs of degree $5$ binary {BBP}-type formulas", journal = "Functiones et Approximatio Commentarii Mathematici", volume = "48", number = "part 1", pages = "19--27", year = "2013", DOI = "https://doi.org/10.7169/facm/2013.48.1.2", ISBN = "83-232-2533-8", ISBN-13 = "978-83-232-2533-1", ISSN = "0208-6573 (print), 2080-9433 (electronic)", ISSN-L = "0208-6573", MRclass = "11Y60", MRnumber = "3086957", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, ajournal = "Funct. Approx. Comment. Math.", fjournal = "Uniwersytet im. Adama Mickiewicza w Poznaniu. Wydzia\l\ Matematyki i Informatyki. Functiones et Approximatio Commentarii Mathematici", } @Article{Adly:2013:NMS, author = "Samir Adly and Hadia Rammal", title = "A new method for solving {Pareto} eigenvalue complementarity problems", journal = j-COMP-OPTIM-APPL, volume = "55", number = "3", pages = "703--731", month = jul, year = "2013", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-013-9534-y", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Dedicated to Jonathan Borwein in honor of his 60th birthday.", URL = "http://link.springer.com/article/10.1007/s10589-013-9534-y", abstract = "In this paper, we introduce a new method, called the Lattice Projection Method (LPM), for solving eigenvalue complementarity problems. The original problem is reformulated to find the roots of a nonsmooth function. A semismooth Newton type method is then applied to approximate the eigenvalues and eigenvectors of the complementarity problems. The LPM is compared to SNMmin and SNMFB, two methods widely discussed in the literature for solving nonlinear complementarity problems, by using the performance profiles as a comparing tool (Dolan, Mor{\'e} in Math. Program. 91:201--213, 2002). The performance measures, used to analyze the three solvers on a set of matrices mostly taken from the Matrix Market (Boisvert et al. in The quality of numerical software: assessment and enhancement, pp. 125--137, 1997), are computing time, number of iterations, number of failures and maximum number of solutions found by each solver. The numerical experiments highlight the efficiency of the LPM and show that it is a promising method for solving eigenvalue complementarity problems. Finally, Pareto bi-eigenvalue complementarity problems were solved numerically as an application to confirm the efficiency of our method.", fjournal = "Computational optimization and applications", journal-URL = "http://link.springer.com/journal/10589", onlinedate = "5 February 2013", remark = "At the memorial site, \url{http://jonborwein.org/2016/09/you-re-not-where-you-were-but-you-re-evrywhere-we-are/}, Samir Adly writes about the origins of this paper, and says that Jon deserved to be a co-author of it.", } @Article{Beliakov:2013:EIBa, author = "Gleb Beliakov and Michael Johnstone and Doug Creighton and Tim Wilkin", title = "An efficient implementation of {Bailey} and {Borwein}'s algorithm for parallel random number generation on graphics processing units", journal = j-COMPUTING, volume = "95", number = "4", pages = "309--326", year = "2013", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/s00607-012-0234-8", ISSN = "0010-485x (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65C10 (11K45 65Y05 65Y10 68W10)", MRnumber = "3037592", MRreviewer = "S. Hitotumatu", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", journal-URL = "http://link.springer.com/journal/607", } @Article{Beliakov:2013:EIBb, author = "G. Beliakov and D. Creighton and M. Johnstone and T. Wilkin", title = "Efficient implementation of {Bailey} and {Borwein} pseudo-random number generator based on normal numbers", journal = j-COMP-PHYS-COMM, volume = "184", number = "8", pages = "1999--2004", year = "2013", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/j.cpc.2013.03.019", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "65C10", MRnumber = "3068151", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0010465513001276", abstract = "This paper describes an implementation of a Linear Congruential Generator (LCG) based on the binary representation of the normal number $ \alpha_{2, 3} $, and of a combined generator based on that LCG. The base LCG with the modulus $ 3^{33} $ provides a quality sequence with the period $ 3.7 \times 10^{15} $, which passes all but two statistical tests from BigCrush test suite. We improved on the original implementation by adapting Barrett's modular reduction method, which resulted in four-fold increase in efficiency. The combined generator has the period of $ 10^{23} $ and passes all tests from BigCrush suite.", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "Linear Congruential Generator; Normal numbers; Random number generation", programsummary = "Program title: BCNRandom Catalogue identifier: AEPG\_v1\_0. Program summary URL: \url{http://cpc.cs.qub.ac.uk/summaries/AEPG_v1_0.html}. Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 1201 No. of bytes in distributed program, including test data, etc.: 13715 Distribution format: tar.gz Programming language: C. Computer: IBM PC; MacBook Pro. Operating system: Windows 7, Linux, Unix, OS X. RAM: 512KB Classification: 4.13. Nature of problem: This is a fast pseudorandom number generator based on normal numbers, with long period and good statistical properties. It passes all 106 BigCrush statistical tests and is faster than C standard library rand generator. Suitable for parallel execution by multiple threads and/or processes because of skip ahead property. Solution method: Linear Congruential Generators with specially chosen parameters are used. A customized fast modular reduction is employed. Running time: Generation rate is 100--200 million numbers per second.", } @Article{Jiang:2013:FBB, author = "Bo Jiang and Yu-Hong Dai", title = "Feasible {Barzilai--Borwein}-like methods for extreme symmetric eigenvalue problems", journal = j-OPTIM-METHODS-SOFTW, volume = "28", number = "4", pages = "756--784", year = "2013", DOI = "https://doi.org/10.1080/10556788.2012.656115", ISSN = "1026-7670 (print), 1055-6788 (electronic)", ISSN-L = "1026-7670", MRclass = "90C20", MRnumber = "3175442", MRreviewer = "Laura Martein", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Liu:2013:MSB, author = "Hongwei Liu and Xiangli Li", title = "Modified subspace {Barzilai--Borwein} gradient method for non-negative matrix factorization", journal = j-COMP-OPTIM-APPL, volume = "55", number = "1", pages = "173--196", year = "2013", CODEN = "CPPPEF", DOI = "https://doi.org/10.1007/s10589-012-9507-6", ISSN = "0926-6003 (print), 1573-2894 (electronic)", ISSN-L = "0926-6003", MRclass = "65F05 (15A23)", MRnumber = "3041752", MRreviewer = "Jos{\'e}-Javier Mart{\'{\i}}nez", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Computational Optimization and Applications. An International Journal", journal-URL = "http://link.springer.com/journal/10589", } @InCollection{Pospisil:2013:OAB, author = "Luk{\'a}{\v{s}} Posp{\'{\i}}{\v{s}}il", booktitle = "Programs and algorithms of numerical mathematics 16", title = "An optimal algorithm with {Barzilai--Borwein} steplength and superrelaxation for {QPQC} problem", publisher = "Acad. Sci. Czech Repub. Inst. Math., Prague", pages = "155--161", year = "2013", MRclass = "74M15 (90C90)", MRnumber = "3203815", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Article{Zhang:2013:NFB, author = "Wenlong Zhang", title = "New formulae of {BBP}-type with different moduli", journal = j-J-MATH-ANAL-APPL, volume = "398", number = "1", pages = "46--60", year = "2013", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2012.08.007", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "11Y60", MRnumber = "2984314", MRreviewer = "Samuel S. Wagstaff, Jr.", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Adegoke:2014:GRF, author = "Kunle Adegoke", title = "The {Golden Ratio}, {Fibonacci} Numbers and {BBP}-Type Formulas", journal = j-FIB-QUART, volume = "52", number = "2", pages = "129--138", month = may, year = "2014", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", MRclass = "11B39 (11Y60)", MRnumber = "3214376", MRreviewer = "Ovidiu Dumitru Bagdasar", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.fq.math.ca/52-2.html; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Abstracts/52-2/adegoke.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", fjournal = "The Fibonacci Quarterly. Official Organ of the Fibonacci Association", journal-URL = "http://www.fq.math.ca/", } @Article{Adegoke:2014:NBB, author = "Kunle Adegoke", title = "A New Binary {BBP}-Type Formula for $ \sqrt {5} \log \phi $", journal = j-FIB-QUART, volume = "52", number = "4", pages = "357--359", month = nov, year = "2014", CODEN = "FIBQAU", ISSN = "0015-0517", ISSN-L = "0015-0517", MRclass = "11Y60", MRnumber = "3276062", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.fq.math.ca/52-4.html; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/fibquart.bib", URL = "http://www.fq.math.ca/Abstracts/52-4/adegoke.pdf; http://www.fq.math.ca/Papers/52-4/adegoke4282014.pdf", acknowledgement = ack-nhfb, ajournal = "Fib. Quart", fjournal = "The Fibonacci Quarterly. The Official Journal of the Fibonacci Association", journal-URL = "http://www.fq.math.ca/", } @Article{Howlett:2014:BRC, author = "Phil Howlett", title = "Book Review: {{\booktitle{Convex functions: Constructions, characterizations and counterexamples}}, by Jonathan M. Borwein and Jon D. Vanderwerff}", journal = j-AUSTRALIAN-MATH-SOC-GAZ, volume = "41", number = "3", pages = "173--177", month = jul, year = "2014", ISSN = "0311-0729 (print), 1326-2297 (electronic)", ISSN-L = "0311-0729", bibdate = "Tue Aug 23 11:59:05 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.austms.org.au/Publ/Gazette/2014/Jul14/BkRev.pdf", ZMnumber = "1329.00068", acknowledgement = ack-nhfb, ajournal = "Aust. Math. Soc. Gaz.", fjournal = "Australian Mathematical Society Gazette", journal-URL = "http://www.austms.org.au/gazette", } @Article{Huang:2014:BBT, author = "Yakui Huang and Hongwei Liu and Sha Zhou", title = "A {Barzilai--Borwein} type method for stochastic linear complementarity problems", journal = j-NUMER-ALGORITHMS, volume = "67", number = "3", pages = "477--489", year = "2014", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/s11075-013-9803-y", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "90C15 (90C33)", MRnumber = "3271398", MRreviewer = "Jie Zhang", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", } @Article{Li:2014:PBB, author = "Xiang Li Li and Sha Zhou", title = "Projected {Barzilai--Borwein} method for a class of stochastic linear complementarity problems", journal = "Acta Math. Appl. Sin.", volume = "37", number = "2", pages = "278--285", year = "2014", ISSN = "0254-3079", MRclass = "90C33 (90C15)", MRnumber = "3236826", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue Xuebao", } @Article{Petrov:2014:BBM, author = "Miroslav S. Petrov and Todor D. Todorov", title = "{Barzilai--Borwein} method for a nonlocal elliptic problem", journal = "Mat. Bilten", volume = "38", number = "2", pages = "23--30", year = "2014", ISSN = "0351-336X", MRclass = "65N30 (35K55 49J20 65N12 92-08 92D25)", MRnumber = "3502414", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Matematichki Bilten. Bulletin Math{\'e}matique de la Soci{\'e}t{\'e} des Math{\'e}maticiens de la R{\'e}publique de Mac{\'e}doine", } @Article{Qiu:2014:NAB, author = "Yuanying Qiu and Jianlei Yan and Fanyong Xu", title = "Nonmonotone adaptive {Barzilai--Borwein} gradient algorithm for compressed sensing", journal = j-ABSTR-APPL-ANAL, volume = "2014", pages = "410104", year = "2014", DOI = "https://doi.org/10.1155/2014/410104", ISSN = "1085-3375 (print), 1687-0409 (electronic)", ISSN-L = "1085-3375", MRclass = "94A12 (90C53 90C90)", MRnumber = "3198186", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Abstract and Applied Analysis", pagecount = "6", } @Article{Sendov:2014:SBA, author = "Hristo S. Sendov and Ri{\v{c}}ardas Zitikis", title = "The shape of the {Borwein--Affleck--Girgensohn} function generated by completely monotone and {Bernstein} functions", journal = j-J-OPT-THEORY-APPL, volume = "160", number = "1", pages = "67--89", year = "2014", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-013-0345-1", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", MRclass = "26B25", MRnumber = "3149118", MRreviewer = "Giovanni Alberti", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", } @Article{Virosztek:2014:PBB, author = "D{\'a}niel Virosztek", title = "On a problem of {Bauschke} and {Borwein}", journal = "arxiv.org", volume = "??", number = "??", pages = "??--??", day = "5", month = dec, year = "2014", bibdate = "Thu Aug 11 14:23:45 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1412.2602", abstract = "Consider a differentiable convex function $ f \colon R n \supset {\rm dom} f \to R $. The induced spectral function $F$ is given by $ F = f \cdot \lambda $, where $ \lambda \colon M^{sa}_n \to R^n$ is the eigenvalue map. Let us denote by $ D_f$ and $ D_F$ the Bregman distances associated with $f$ and $F$, respectively. In the paper ``Joint and separate convexity of the Bregman distance'' written by H. Bauschke and J. Borwein the following open problem has been suggested. ``Is $ D_f$ jointly convex if and only if $ D_F$ is?'' In this short note we provide a negative answer to this question.", acknowledgement = ack-nhfb, pagecount = "??", remark = "From the Web site: This paper has been withdrawn by the author because a gap has been observed in the proof of a cited theorem which was an essential ingredient of our argument", } @Article{Xiao:2014:NBB, author = "Yunhai Xiao and Soon-Yi Wu and Liqun Qi", title = "Nonmonotone {Barzilai--Borwein} gradient algorithm for $ \ell_1 $-regularized nonsmooth minimization in compressive sensing", journal = j-J-SCI-COMPUT, volume = "61", number = "1", pages = "17--41", year = "2014", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/s10915-013-9815-8", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65K10 (90C30)", MRnumber = "3254365", MRreviewer = "Ern{\"o} Robert Csetnek", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", journal-URL = "http://link.springer.com/journal/10915", } @Article{Zhang:2014:NFB, author = "Wenlong Zhang and Ying Zhang", title = "New formulae of {BBP}-type modulo $6$", journal = "Quaest. Math.", volume = "37", number = "3", pages = "393--400", year = "2014", DOI = "https://doi.org/10.2989/16073606.2013.779605", ISSN = "1607-3606 (print), 1727-933X (electronic)", ISSN-L = "1607-3606", MRclass = "65B10 (40C10)", MRnumber = "3285292", MRreviewer = "H. P. Dikshit", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Quaestiones Mathematicae. Journal of the South African Mathematical Society", } @Article{Adiga:2015:RGT, author = "Chandrashekar Adiga and Nasser Abdo Saeed Bulkhali", title = "On {Ramanujan}'s general theta function and a generalization of the {Borweins}' cubic theta functions", journal = "Asian-Eur. J. Math.", volume = "8", number = "1", pages = "1550002, 16", year = "2015", DOI = "https://doi.org/10.1142/S1793557115500023", ISSN = "1793-5571 (print), 1793-7183 (electronic)", ISSN-L = "1793-7183", MRclass = "11F27 (05A30 11B65)", MRnumber = "3322545", MRreviewer = "Mohammad Ahmad", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Asian-European Journal of Mathematics", } @Misc{Anonymous:2015:IJB, author = "Anonymous", title = "Interview with {Jon Borwein} at the {International Conference on Variational Analysis, Optimization and Quantitative Finance in honor of Terry Rockafellar s 80th Birthday}", howpublished = "Web video", day = "18--22", month = may, year = "2015", bibdate = "Sat Sep 03 12:10:00 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://terryfest2015.xlim.fr/?page_id=482", acknowledgement = ack-nhfb, } @Article{Cohen:2015:BRM, author = "Marion Cohen", title = "Book Review: {{\booktitle{Mathematicians on Creativity}}. Edited by Peter B. Borwein, Peter Liljedahl, and Helen Zhai, The Mathematical Association of America, Washington DC, 2014, xviii + 199 pp, ISBN 978-0-88385-574-4, \$30.00}", journal = j-AMER-MATH-MONTHLY, volume = "122", number = "6", pages = "613--616", month = jun # "\slash " # jul, year = "2015", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.122.6.613", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Sat Aug 13 18:09:13 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.122.6.613", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", xxtitle = "Book Review: {{\booktitle{Review: Reviews}}}", } @InCollection{Dai:2015:PBB, author = "Yu-Hong Dai and Mehiddin Al-Baali and Xiaoqi Yang", booktitle = "Numerical analysis and optimization", title = "A positive {Barzilai--Borwein}-like stepsize and an extension for symmetric linear systems", volume = "134", publisher = "Springer, Cham", pages = "59--75", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-17689-5_3", MRclass = "65K10 (90C20)", MRnumber = "3446842", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Springer Proc. Math. Stat.", acknowledgement = ack-nhfb, } @Article{Fang:2015:DSF, author = "Xiaowei Fang and Qin Ni", title = "A direct search frame-based adaptive {Barzilai--Borwein} method", journal = j-J-COMP-MATH, volume = "33", number = "2", pages = "179--190", year = "2015", CODEN = "JCMMEB", DOI = "https://doi.org/10.4208/jcm.1411-m4519", ISSN = "0254-9409 (print), 1991-7139 (electronic)", ISSN-L = "0254-9409", MRclass = "90C56 (65K10 90C30)", MRnumber = "3326009", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Mathematics", } @Article{Gao:2015:BBL, author = "Huan Gao and Yu-Hong Dai and Xiao-Jiao Tong", title = "{Barzilai--Borwein}-like methods for the extreme eigenvalue problem", journal = "J. Ind. Manag. Optim.", volume = "11", number = "3", pages = "999--1019", year = "2015", DOI = "https://doi.org/10.3934/jimo.2015.11.999", ISSN = "1547-5816 (print), 1553-166X (electronic)", ISSN-L = "1547-5816", MRclass = "90C25 (49M30 90C30)", MRnumber = "3269459", MRreviewer = "Jen-Chih Yao", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Industrial and Management Optimization", } @Article{Huang:2015:BBT, author = "Yakui Huang and Hongwei Liu", title = "A {Barzilai--Borwein} type method for minimizing composite functions", journal = j-NUMER-ALGORITHMS, volume = "69", number = "4", pages = "819--838", year = "2015", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/s11075-014-9927-8", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "65K10 (90C53 90C56)", MRnumber = "3374101", MRreviewer = "Masoud Hajarian", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", } @Article{Huang:2015:EMP, author = "Yakui Huang and Hongwei Liu and Sha Zhou", title = "An efficient monotone projected {Barzilai--Borwein} method for nonnegative matrix factorization", journal = j-APPL-MATH-LETT, volume = "45", pages = "12--17", year = "2015", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/j.aml.2015.01.003", ISSN = "0893-9659 (print), 1873-5452 (electronic)", ISSN-L = "0893-9659", MRclass = "15A21 (90C20)", MRnumber = "3316954", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0893965915000087", abstract = "In this paper, we present an efficient method for nonnegative matrix factorization based on the alternating nonnegative least squares framework. Our approach adopts a monotone projected Barzilai Borwein (MPBB) method as an essential subroutine where the step length is determined without line search. The Lipschitz constant of the gradient is exploited to accelerate convergence. Global convergence of the proposed MPBB method is established. Numerical results are reported to demonstrate the efficiency of our algorithm.", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", journal-URL = "http://www.sciencedirect.com/science/journal/08939659", } @Article{Huang:2015:QRP, author = "Yakui Huang and Hongwei Liu and Shuisheng Zhou", title = "Quadratic regularization projected {Barzilai--Borwein} method for nonnegative matrix factorization", journal = "Data Min. Knowl. Discov.", volume = "29", number = "6", pages = "1665--1684", year = "2015", DOI = "https://doi.org/10.1007/s10618-014-0390-x", ISSN = "1384-5810 (print), 1573-756X (electronic)", ISSN-L = "1384-5810", MRclass = "65F05 (15A23 90C53 90C55)", MRnumber = "3401823", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Data Mining and Knowledge Discovery", } @Article{Huang:2015:RCP, author = "Yakui Huang and Hongwei Liu", title = "On the rate of convergence of projected {Barzilai--Borwein} methods", journal = j-OPTIM-METHODS-SOFTW, volume = "30", number = "4", pages = "880--892", year = "2015", DOI = "https://doi.org/10.1080/10556788.2015.1004064", ISSN = "1026-7670 (print), 1055-6788 (electronic)", ISSN-L = "1026-7670", MRclass = "90C53 (90C25 90C26)", MRnumber = "3375679", MRreviewer = "Saman Babaie-Kafaki", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Optimization Methods \& Software", journal-URL = "http://www.tandfonline.com/loi/goms20", } @Article{Li:2015:SNB, author = "Xiangli Li", title = "Smoothing nonmonotone {Barzilai--Borwein} gradient method and its application to stochastic linear complementarity problems", journal = "Mathematical Problems in Engineering", volume = "2015", pages = "425351", year = "2015", DOI = "https://doi.org/10.1155/2015/425351", ISSN = "1024-123X", MRclass = "90C15 (90C33)", MRnumber = "3407135", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.hindawi.com/journals/mpe/2015/425351/", acknowledgement = ack-nhfb, ajournal = "Math. Probl. Eng.", fjournal = "Mathematical Problems in Engineering", pagecount = "6", } @Article{Merca:2015:DII, author = "Mircea Merca", title = "A double inequality involving {Erd{\H{o}}s--Borwein} constants", journal = "Miskolc Math. Notes", volume = "16", number = "1", pages = "277--281", year = "2015", ISSN = "1787-2405", MRclass = "26D15 (05A15 26D07 30B10)", MRnumber = "3384606", MRreviewer = "Shea-Ming Oon", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Miskolc Mathematical Notes. A Publication of the University of Miskolc", } @Article{Nimbran:2015:TSA, author = "Amrik Singh Nimbran", title = "{Taylor} series for arctan and {BBP}-type formulas for $ \pi $", journal = j-MATH-STUDENT, volume = "84", number = "3--4", pages = "39--52", year = "2015", CODEN = "MTHSBH", ISSN = "0025-5742", MRclass = "26A24 (30D10 33B10 40A25 41A58)", MRnumber = "3467545", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "The Mathematics Student", } @Article{Solomon:2015:DS, author = "Benjamin T. Solomon", title = "{ET}, the Deafening Silence", journal = "Huffington Post", volume = "??", number = "??", pages = "??", day = "10", month = aug, year = "2015", bibdate = "Tue Aug 16 07:19:15 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "See \cite{Bailey:2015:DSF}.", URL = "http://www.huffingtonpost.com/benjamin-t-solomon/et-the-deafening-silence_b_7608462.html", acknowledgement = ack-nhfb, } @Article{Sopyla:2015:SGD, author = "Krzysztof Sopy{\l}a and Pawe Drozda", title = "Stochastic Gradient Descent with {Barzilai--Borwein} update step for {SVM}", journal = j-INFO-SCI, volume = "316", pages = "218--233", year = "2015", CODEN = "ISIJBC", DOI = "https://doi.org/10.1016/j.ins.2015.03.073", ISSN = "0020-0255 (print), 1872-6291 (electronic)", ISSN-L = "0020-0255", bibdate = "Fri Aug 12 10:34:13 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Nature-Inspired Algorithms for Large Scale Global Optimization.", URL = "http://www.sciencedirect.com/science/article/pii/S0020025515002467", abstract = "This paper presents a new approach to solving the optimization task that arises when L2-SVM in its primal form is considered. In particular, we propose the application of a Barzilai Borwein (BB) update step in five variants for the classic Stochastic Gradient Descent (SGD) algorithm. The evaluation is designed to check the effectiveness of the proposed methods in large scale scenarios in terms of execution time, convergence and sensitivity to the choice of initial parameters. The obtained results are compared with those obtained for well-known linear SVM algorithms and they indicate that the level of convergence of the proposed methods is very similar to that found in the other studies. Moreover, our approach shows much lower sensitivity to the choice of initial parameters, which allows for a substantial reduction of pre-processing.", acknowledgement = ack-nhfb, fjournal = "Information Sciences", journal-URL = "http://www.sciencedirect.com/science/journal/00200255", keywords = "Barzilai Borwein; Classification; Online learning; Stochastic Gradient Descent; SVM", } @Article{Wang:2015:BBS, author = "Liumei Wang and Wenyu Sun and Raimundo J. B. de Sampaio and Jinyun Yuan", title = "A {Barzilai} and {Borwein} scaling conjugate gradient method for unconstrained optimization problems", journal = j-APPL-MATH-COMP, volume = "262", pages = "136--144", year = "2015", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2015.04.046", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65K05 (90C30 90C53)", MRnumber = "3346529", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0096300315005044", abstract = "In this paper, we combine the conjugate gradient method with the Barzilai and Borwein gradient method, and propose a Barzilai and Borwein scaling conjugate gradient method for nonlinear unconstrained optimization problems. The new method does not require to compute and store matrices associated with Hessian of the objective functions, and has an advantage of less computational efforts. Moreover, the descent direction property and the global convergence are established when the line search fulfills the Wolfe conditions. The limited numerical experiments and comparisons show that the proposed algorithm is potentially efficient.", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", keywords = "Barzilai Borwein method; Conjugate gradient method; Global convergence; Optimization methods; Unconstrained optimization", } @Article{Wei:2015:SBT, author = "Chuanan Wei", title = "Several {BBP}-type formulas for $ \pi $", journal = "Integral Transforms Spec. Funct.", volume = "26", number = "5", pages = "315--324", year = "2015", DOI = "https://doi.org/10.1080/10652469.2014.997724", ISSN = "1065-2469 (print), 1476-8291 (electronic)", ISSN-L = "1065-2469", MRclass = "11Y60 (40A15 65B10)", MRnumber = "3312607", MRreviewer = "Necdet Batir", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Integral Transforms and Special Functions. An International Journal", } @Article{Anonymous:2016:JMB, author = "Anonymous", title = "{Jonathan M. Borwein}, former {CMS President}, dies at 65", journal = j-ACM-COMM-COMP-ALGEBRA, volume = "50", number = "3", pages = "121--122", month = sep, year = "2016", CODEN = "????", ISSN = "1932-2232 (print), 1932-2240 (electronic)", ISSN-L = "1932-2232", bibdate = "Tue Apr 04 14:00:57 2017", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/sigsam.bib", acknowledgement = ack-nhfb, fjournal = "ACM Communications in Computer Algebra", issue = "197", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000", } @Article{Arzani:2016:NNF, author = "F. Arzani and M. Reza Peyghami", title = "A new nonmonotone filter {Barzilai--Borwein} method for solving unconstrained optimization problems", journal = j-INT-J-COMPUT-MATH, volume = "93", number = "3", pages = "596--608", year = "2016", CODEN = "IJCMAT", DOI = "https://doi.org/10.1080/00207160.2015.1009903", ISSN = "0020-7160", ISSN-L = "0020-7160", MRclass = "65K10 (90C30 90C53)", MRnumber = "3462118", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Computer Mathematics", } @Misc{Bailey:2016:BBM, author = "David H. Bailey", title = "{Bailey}, {Borwein}, {Mattingly} and {Wightwick} to receive the {Levi L. Conant Prize} from {AMS}", howpublished = "Web document.", day = "2", month = dec, year = "2016", bibdate = "Fri Dec 02 17:54:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://experimentalmath.org/2016/12/bailey-borwein-mattingly-and-wightwick-to-receive-the-levi-l-conant-prize-from-ams/; http://www.ams.org/news?news_id=3232", abstract = "This year's prize was awarded for the recipients' 2013 article \booktitle{The Computation of Previously Inaccessible Digits of $ \pi^2 $ and Catalan's Constant} \cite{Bailey:2013:CPI}, which appeared in the August 2013 issue of the \booktitle{Notices of the American Mathematical Society}. The AMS summarizes the article as follows:\par ``The article opens with a historical journey, from Archimedes to the computer age, with many interesting anecdotes along the way. It then goes on to discuss the remarkable ``BBP'' formula, discovered by Bailey together with Peter Borwein and Simon Plouffe. The formula allows one to calculate binary or hexadecimal digits of $ \pi $ beginning with the nth digit without first calculating any of the preceding $ n - 1 $ digits. The article leads readers through not only an elementary proof of the BBP formula but also the unconventional search that originally led to this formula as well as similar formulas for Catalan's constant and $ \pi^2 $. The article also provides intriguing insights into the age-old question of whether the digits of $ \pi $ are truly randomly distributed.''", acknowledgement = ack-nhfb, } @InCollection{Bailey:2016:CDD, author = "David H. Bailey", title = "The computation of $ \pi $ to 29,360,000 decimal digits using {Borweins}' quartically convergent algorithm (1988)", crossref = "Bailey:2016:PNG", pages = "109--124", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-32377-0_7", bibdate = "Tue Mar 14 11:34:57 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/agm.bib", acknowledgement = ack-nhfb, } @Article{Bailey:2016:JBD, author = "David H. Bailey", title = "{Jonathan Borwein} dies at 65", journal = "Math Drudge: Two mathematicians contemplate the cosmos", volume = "??", number = "??", pages = "??", day = "2", month = aug, year = "2016", bibdate = "Tue Aug 16 08:21:38 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://experimentalmath.info/blog/2016/08/jonathan-borwein-dies-at-65/", acknowledgement = ack-nhfb, } @Article{Bailey:2016:JMB, author = "David H. Bailey", title = "{Jonathan M. Borwein}'s Extraordinary Mathematical Career", journal = j-CMS-NOTES, volume = "48", number = "6", pages = "14--15", month = dec, year = "2016", ISSN = "0045-5164", ISSN-L = "0045-5164", bibdate = "Sat Jan 07 11:42:46 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf; http:www.jonborwein.org/jmbpapers/", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Society Notes", journal-URL = "https://cms.math.ca/notes", } @Misc{Breen:2016:DBJ, author = "Mike Breen and Annette Emerson", title = "{David Bailey}, {Jonathan Borwein}, {Andrew Mattingly}, and {Glenn Wightwick} to Receive {2017 AMS Conant Prize}", howpublished = "AMS press release.", day = "2", month = dec, year = "2016", bibdate = "Fri Dec 02 18:00:54 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.ams.org/news?news_id=3232", acknowledgement = ack-nhfb, } @Article{Campbell:2016:LEJ, author = "Christiane Rousseau Eddy Campbell and Graham P. Wright", title = "Letter to the {Editor}: {Jonathan Borwein} and the {Canadian Mathematical Society}", journal = j-CMS-NOTES, volume = "48", number = "6", pages = "21--21", month = dec, year = "2016", ISSN = "0045-5164", ISSN-L = "0045-5164", bibdate = "Sat Jan 07 11:42:46 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://cms.math.ca/notes/v48/n6/Notesv48n6.pdf", acknowledgement = ack-nhfb, fjournal = "Canadian Mathematical Society Notes", journal-URL = "https://cms.math.ca/notes", } @Article{Campbell:2016:RUN, author = "Alexander Campbell", title = "Research uncovers new sources of financial model risk: Past performance of financial models is no guarantee of future success, two forthcoming papers suggest", journal = "Risk.net", volume = "??", number = "??", pages = "??--??", day = "20", month = may, year = "2016", bibdate = "Tue Aug 23 09:50:22 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.risk.net/risk/news/2458806/research-uncovers-new-sources-of-financial-model-risk", acknowledgement = ack-nhfb, journal-URL = "http://www.risk.net/category/risk-management", } @Article{Chapman:2016:LEJ, author = "Scott T. Chapman", title = "A Letter From the {Editor}: {Jonathan M. Borwein} (1951--2016)", journal = j-AMER-MATH-MONTHLY, volume = "123", number = "9", pages = "847--848", month = nov, year = "2016", CODEN = "AMMYAE", DOI = "https://doi.org/10.4169/amer.math.monthly.123.9.847", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Tue Nov 8 09:04:47 MST 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib", URL = "http://www.jstor.org/stable/10.4169/amer.math.monthly.123.9.847", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", } @Article{Dai:2016:BBC, author = "YuHong Dai and CaiXia Kou", title = "A {Barzilai--Borwein} conjugate gradient method", journal = j-SCI-CHINA-MATH, volume = "59", number = "8", pages = "1511--1524", year = "2016", DOI = "https://doi.org/10.1007/s11425-016-0279-2", ISSN = "1674-7283 (print), 1869-1862 (electronic)", ISSN-L = "1869-1862", MRclass = "49M37 (65K05 90C30)", MRnumber = "3528500", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "Science China. Mathematics", journal-URL = "http://link.springer.com/journal/11425", } @Article{Huang:2016:SPC, author = "Yakui Huang and Hongwei Liu and Tengteng Yu", title = "Smoothing projected cyclic {Barzilai--Borwein} method for stochastic linear complementarity problems", journal = j-INT-J-COMPUT-MATH, volume = "93", number = "7", pages = "1188--1199", year = "2016", CODEN = "IJCMAT", DOI = "https://doi.org/10.1080/00207160.2015.1040780", ISSN = "0020-7160", ISSN-L = "0020-7160", MRclass = "90C15 (65K15 90C33)", MRnumber = "3494016", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Computer Mathematics", } @Article{Kortenkamp:2016:JMB, author = "Ulrich Kortenkamp and John Monaghan and Luc Trouche", title = "{Jonathan M Borwein (1951--2016)}: exploring, experiencing and experimenting in mathematics --- an inspiring journey in mathematics", journal = j-EDUC-STUD-MATH, volume = "93", number = "2", pages = "131--136", month = oct, year = "2016", CODEN = "EDSMAN", DOI = "https://doi.org/10.1007/s10649-016-9729-0", ISSN = "0013-1954 (print), 1573-0816 (electronic)", ISSN-L = "0013-1954", bibdate = "Tue Jan 3 07:42:05 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/educstudmath.bib", URL = "http://link.springer.com/accesspage/article/10.1007/s10649-016-9729-0", acknowledgement = ack-nhfb, fjournal = "Educational Studies in Mathematics", journal-URL = "http://link.springer.com/journal/10649", } @Article{Krejic:2016:BBM, author = "Nata{\v{s}}a Kreji{\'c} and Nata{\v{s}}a Krklec Jerinki{\'c} and Sanja Rapaji{\'c}", title = "{Barzilai--Borwein} method with variable sample size for stochastic linear complementarity problems", journal = j-OPTIMIZATION, volume = "65", number = "2", pages = "479--499", year = "2016", CODEN = "OPTZDQ", DOI = "https://doi.org/10.1080/02331934.2015.1062008", ISSN = "0233-1934, 0323-3898", ISSN-L = "0233-1934", MRclass = "90C33 (65K15 90C15)", MRnumber = "3438121", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://arxiv.org/abs/1312.7323", acknowledgement = ack-nhfb, fjournal = "Optimization. A Journal of Mathematical Programming and Operations Research", } @Article{Kruger:2016:BPV, author = "A. Y. Kruger and S. Plubtieng and T. Seangwattana", title = "{Borwein--Preiss} variational principle revisited", journal = j-J-MATH-ANAL-APPL, volume = "435", number = "2", pages = "1183--1193", year = "2016", CODEN = "JMANAK", DOI = "https://doi.org/10.1016/j.jmaa.2015.11.009", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", MRclass = "49J53 (49J50 58E30)", MRnumber = "3429635", bibdate = "Thu Aug 11 11:22:39 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0022247X15010343", abstract = "In this article, we refine and slightly strengthen the metric space version of the Borwein--Preiss variational principle due to Li and Shi (2000) [12], clarify the assumptions and conclusions of their Theorem 1 as well as Theorem 2.5.2 in Borwein and Zhu (2005) [4] and streamline the proofs. Our main result, Theorem 3 is formulated in the metric space setting. When reduced to Banach spaces (Corollary 9), it extends and strengthens the smooth variational principle established in Borwein and Preiss (1987) [3] along several directions.", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", keywords = "Borwein Preiss variational principle; Gauge-type function; Perturbation; Smooth variational principle", } @Article{Morovati:2016:BBM, author = "Vahid Morovati and Latif Pourkarimi and Hadi Basirzadeh", title = "{Barzilai} and {Borwein}'s method for multiobjective optimization problems", journal = j-NUMER-ALGORITHMS, volume = "72", number = "3", pages = "539--604", month = jul, year = "2016", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/s11075-015-0058-7", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", bibdate = "Tue Sep 20 10:57:46 MDT 2016", bibsource = "http://link.springer.com/journal/11075/72/3; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib", URL = "http://link.springer.com/article/10.1007/s11075-015-0058-7", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", } @Article{Thera:2016:HSH, author = "Michel Th{\'e}ra", title = "Homo Sapiens, Homo Ludens", journal = j-J-OPT-THEORY-APPL, volume = "172", pages = "1--8", day = "29", month = dec, year = "2016", CODEN = "JOTABN", DOI = "https://doi.org/10.1007/s10957-016-1044-5", ISSN = "0022-3239 (print), 1573-2878 (electronic)", ISSN-L = "0022-3239", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "Paper in memory of Jonathan Borwein.", acknowledgement = ack-nhfb, fjournal = "Journal of Optimization Theory and Applications", journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957", keywords = "Homo Sapiens, Homo Ludens (Latin) == Thinking Man, Playing Man (English); Jonathan M. Borwein", remark = "Check volume/pages assignment? Not yet clear from publisher Web site on 02 January 2017.", } @Article{Wu:2016:BBL, author = "Lei Wu and Zhe Sun and Dong-Hui Li", title = "A {Barzilai--Borwein}-Like Iterative Half Thresholding Algorithm for the {$ L_{1 / 2} $} Regularized Problem", journal = j-J-SCI-COMPUT, volume = "67", number = "2", pages = "581--601", month = may, year = "2016", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/s10915-015-0094-4", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", bibdate = "Mon May 30 08:54:46 MDT 2016", bibsource = "http://link.springer.com/journal/10915; http://link.springer.com/journal/10915/67/2; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/jscicomput.bib", note = "See \cite{Barzilai:1988:TPS} for the original Barzilai--Borwein work.", URL = "http://link.springer.com/article/10.1007/s10915-015-0094-4; http://link.springer.com/content/pdf/10.1007/s10915-015-0094-4.pdf", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", journal-URL = "http://link.springer.com/journal/10915", } @Misc{Bailey:2017:JBC, author = "David H. Bailey", title = "{Jonathan Borwein} Commemorative Conference[: {25--29 September 2017 in Newcastle, NSW, Australia}]", howpublished = "Web blog", day = "6", month = jun, year = "2017", bibdate = "Tue Jun 06 09:05:02 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://mathscholar.org/jonathan-borwein-commemorative-conference", acknowledgement = ack-nhfb, } @Misc{Bailey:2017:RJB, author = "David H. Bailey", title = "Report on the {Jon Borwein} remembrance day meeting in {Paris} [{10 February 2017}]", howpublished = "Web blog.", day = "15", month = feb, year = "2017", bibdate = "Tue Jun 06 09:03:47 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://jonborwein.org/2017/02/report-on-the-jon-borwein-remembrance-day-meeting-in-paris/", acknowledgement = ack-nhfb, } @Article{Ganz:2017:RRC, author = "Reinhard E. Ganz", title = "Reply to {``Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi'' [Bailey et al. 17]}", journal = j-EXP-MATH, volume = "26", number = "3", pages = "306--307", year = "2017", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2016.1173413", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", bibdate = "Tue Jun 6 09:17:18 MDT 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.tandfonline.com/toc/uexm20/26/3", note = "See \cite{Bailey:2017:RCS}.", URL = "http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1173413", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", onlinedate = "24 Aug 2016", } @Misc{Swedroe:2017:SGF, author = "Larry Swedroe", title = "{Swedroe}: Grading The Forecasters", howpublished = "Web blog.", day = "28", month = jul, year = "2017", bibdate = "Fri Jul 28 17:20:08 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.etf.com/sections/index-investor-corner/swedroe-grading-forecasters", acknowledgement = ack-nhfb, remark = "Comments on \cite{Bailey:2017:ERM}.", } %%% ==================================================================== %%% Cross-referenced entries must come last. They are sorted by year %%% and then by citation label, with ``bibsort --byyear'': @Article{Asic:1983:PSE, author = "Miroslav D. Asic and Phil Novinger and Daniel Oberlin and Irving Adler and Clark Kimberling and J. D. Shallit and P. Erd{\H{o}}s", title = "Problems and Solutions: Elementary Problems: {E2995}--{E3000}", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "334--335", month = may, year = "1983", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2975788", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:37:10 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Adler:1986:PSS,Asic:1986:PSS,Erdos:1986:PSS,Kimberling:1986:PSS,Novinger:1986:PSS,Shallit:1986:PSS}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Schoenberg:1985:PSA, author = "I. J. Schoenberg", title = "Problems and Solutions: Advanced Problems: 6501", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "8", pages = "595--595", month = oct, year = "1985", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323182", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:04 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Schoenberg:1987:APS,Schurger:1987:PSS}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Asic:1986:PSS, author = "Miroslav D. Asic and A. A. Jagers", title = "Problems and Solutions: Solutions of Elementary Problems: {E2995}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "401--402", month = may, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323613", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:20 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Asic:1983:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Erdos:1986:PSS, author = "P. Erd{\H{o}}s and J. B. Wilker and L. E. Mattics", title = "Problems and Solutions: Solutions of Elementary Problems: {E3000}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "7", pages = "571--572", month = aug # "\slash " # sep, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323046", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:24 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Asic:1983:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Kimberling:1986:PSS, author = "Clark Kimberling and A. A. Jagers", title = "Problems and Solutions: Solutions of Elementary Problems: {E2998}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "9", pages = "733--734", month = nov, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322295", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:29 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Asic:1983:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Novinger:1986:PSS, author = "Phil Novinger and Daniel Oberlin and Nick Lord", title = "Problems and Solutions: Solutions of Elementary Problems: {E2996}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "4", pages = "303--304", month = apr, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323693", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:18 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Asic:1983:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Shallit:1986:PSS, author = "J. D. Shallit and Karel Zikan and {University of South Alabama Problem Group} and Z. A. Malzak", title = "Problems and Solutions: Solutions of Elementary Problems: {E2999}", journal = j-AMER-MATH-MONTHLY, volume = "93", number = "5", pages = "402--403", month = may, year = "1986", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323614", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:20 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Asic:1983:PSE}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Beck:1987:PSS, author = "Anatole Beck and O. P. Lossers", title = "Problems and Solutions: Solutions of Advanced Problems: 6492", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "1", pages = "82--83", month = jan, year = "1987", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2323519", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:33 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Borwein:1985:PSA}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Schurger:1987:PSS, author = "Klaus Schurger and Ellen Hertz", title = "Problems and Solutions: Solutions of Advanced Problems: 6502", journal = j-AMER-MATH-MONTHLY, volume = "94", number = "5", pages = "470--471", month = may, year = "1987", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2322746", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Mon Jun 28 12:38:42 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", note = "See also \cite{Schoenberg:1985:PSA}.", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Rudin:1989:PSE, author = "Walter Rudin", title = "Problems and Solutions: Elementary Problems: {E3325}", journal = j-AMER-MATH-MONTHLY, volume = "96", number = "5", pages = "445--445", month = may, year = "1989", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2325157", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Dec 29 14:01:50 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Sturm:1990:PSE, author = "Jacob Sturm", title = "Problems and Solutions: Elementary Problems: {E3384}", journal = j-AMER-MATH-MONTHLY, volume = "97", number = "5", pages = "427--427", month = may, year = "1990", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324406", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Dec 29 14:46:15 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Adamchik:1997:SF, author = "Victor Adamchik and Stan Wagon", title = "A Simple Formula for $ \pi $", journal = j-AMER-MATH-MONTHLY, volume = "104", number = "9", pages = "852--855", month = nov, year = "1997", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "11Y60", MRnumber = "98h:11166", MRreviewer = "W. W. Adams", bibdate = "Tue Jun 22 10:29:34 MDT 1999", bibsource = "http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", note = "The authors employ Mathematica to extend earlier work of Bailey, Borwein, and Plouffe, \cite{Bailey:1997:RCV}, done in 1995, but only just published, that discovered an amazing formula for $ \pi $ as is a power series in $ 16^{-k} $, enabling any base-16 digit of $ \pi $ to be computed without knowledge of any prior digits. In this paper, Mathematica is used to find several simpler formulas having powers of $ 4^{-k} $. They also note that it has been proven that their methods cannot be used to exhibit similar formulas in powers of $ 10^{-k} $.", URL = "http://www.maa.org/pubs/monthly_nov97_toc.html", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", } @Article{Bailey:1997:RCV, author = "David Bailey and Peter B. Borwein and Simon Plouffe", title = "On the rapid computation of various polylogarithmic constants", journal = j-MATH-COMPUT, volume = "66", number = "218", pages = "903--913", month = apr, year = "1997", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "11Yxx", MRnumber = "1 415 794", bibdate = "Fri Jul 16 10:38:42 MDT 1999", bibsource = "http://www.ams.org/mcom/1997-66-218; http://www.jstor.org/journals/00029890.htm; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", note = "See \cite{Adamchik:1997:SF}.", URL = "http://www.ams.org/journals/mcom/1997-66-218/S0025-5718-97-00856-9/S0025-5718-97-00856-9.pdf; http://www.jstor.org/stable/2153905; https://en.wikipedia.org/wiki/Bailey%E2%80%93Borwein%E2%80%93Plouffe_formula", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", keywords = "BBP formula", } @Book{Rowe:2005:EDC, author = "Kerry Rowe and others", title = "Engines of Discovery: The 21st Century Revolution. {The} Long Range Plan for {HPC} in {Canada}", publisher = "NRC Press", address = "????", pages = "????", month = aug, year = "2005", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Tue Aug 16 08:49:59 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "", acknowledgement = ack-nhfb, remark = "I cannot find this book in major library catalogs or booksellers", } @Book{Pearl:2007:OPT, editor = "Elliott Pearl", title = "Open problems in topology {II}", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "763", year = "2007", ISBN = "0-444-52208-5, 0-08-047529-9 (e-book)", ISBN-13 = "978-0-444-52208-5, 978-0-08-047529-5 (e-book)", LCCN = "QA611 .O562 2007", bibdate = "Sat Aug 13 17:05:14 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "Topology", tableofcontents = "Part 1. General topology \\ Selected ordered space problems / Harold Bennett, David Lutzer \\ Problems on star-covering properties / Maddalena Bonanzinga, Mikhail Matveev \\ Function space topologies / Dimitris N. Georgiou, Stavros D. Iliadis, Frederic Mynard \\ Spaces and mappings: special networks / Chuan Liu, Yoshio Tanaka \\ Extension problems of real-valued continuous functions / Haruto Ohta, Kaori Yamazaki \\ L(Sigma)(k)-spaces / Oleg Okunev \\ Problems on (ir)resolvability / Oleg Pavlov \\ Topological games and Ramsey theory / Marion Scheepers \\ Selection principles and special sets of reals / Boaz Tsaban \\ Part 2. Set-theoretic topology \\ Introduction: twenty problems in set-theoretic topology / Michael Hrusak, Justin Tatch Moore \\ Thin-tall spaces and cardinal sequences / Joan Bagaria \\ Sequential order / Alan Dow \\ On $D$-spaces / Todd Eisworth \\ The fourth head of $(\beta)N$ / Ilijas Farah \\ Are stratifiable spaces $M_1$? / Gary Gruenhage \\ Perfect compacts and basis problems in topology / Gary Gruenhage, Justin Tatch Moore \\ Selection problems for hyperspaces / Valentin Gutev, Tsugunori Nogura \\ Efimov's problem / Klaas Pieter Hart \\ Completely separable MAD families / Michael Hrusak, Petr Simon \\ Good, splendid and Jakovlev / Istvan Juhasz, William A. R. Weiss \\ Homogeneous compacta / Jan van Mill \\ Compact spaces with hereditarily normal squares / Justin Tatch Moore \\ The metrization problem for Frechet groups / Justin Tatch Moore, Stevo Todorcevic \\ Cech--Stone remainders of discrete spaces / Peter J. Nyikos \\ First countable, countably compact, noncompact spaces / Peter J. Nyikos \\ Linearly Lindelof problems / Elliott Pearl \\ Small Dowker spaces / Paul J. Szeptycki \\ Reflection of topological properties to N(subscript 1) / Franklin D. Tall \\ The Scarborough-Stone problem / Jerry E. Vaughan \\ Part 3. Continuum theory \\ Questions in and out of context / David P. Bellamy \\ An update on the elusive fixed-point property / Charles L. Hagopian \\ Hyperspaces of continua / Alejandro Illanes \\ Inverse limits and dynamical systems / W. T. Ingram \\ Indecomposable continua / Wayne Lewis \\ Open problems on dendroids / Veronica Martinez-de-la-Vega, Jorge M. Martinez-Montejano \\ 1/2-Homogeneous continua / Sam B. Nadler, Jr. \\ Thirty open problems in the theory of homogeneous continua / Janusz R. Prajs \\ Part 4. Topological algebra \\ Problems about the uniform structures of topological groups / Ahmed Bouziad, Jean-Pierre Troallic \\ On some special classes of continuous maps / Maria Manuel Clementino, Dirk Hofmann \\ Dense subgroups of compact groups / W. W. Comfort \\ Selected topics from the structure theory of topological groups / Dikran Dikranjan, Dmitri Shakhmatov \\ Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups / Jorge Galindo, Salvador Hernandez, Ta-Sun Wu \\ Topological transformation groups: selected topics / Michael Megrelishvili \\ Forty-plus annotated questions about large topological groups / Vladimir Pestov \\ Part 5. Dynamical systems \\ Minimal flows / William F. Basener, Kamlesh Parwani, Tamas Wiandt \\ The dynamics of tiling spaces / Alex Clark \\ Open problems in complex dynamics and ``complex'' topology / Robert L. Devaney \\ The topology and dynamics of flows / Michael C. Sullivan \\ Part 6. Computer Science \\ Computational topology / Denis Blackmore, Thomas J. Peters \\ Part 7. Functional analysis \\ Non-smooth analysis, optimisation theory and Banach space theory / Jonathan M. Borwein, Warren B. Moors \\ Topological structures of ordinary differential equations / V. V. Filippov \\ The interplay between compact spaces and the Banach spaces of their continuous functions / Piotr Koszmider \\ Tightness and $t$-equivalence / Oleg Okunev \\ Topological problems in nonlinear and functional analysis / Biagio Ricceri \\ Twenty questions on metacompactness in function spaces / V. V. Tkachuk \\ Part 8. Dimension theory \\ Open problems in infinite-dimensional topology / Taras Banakh, Robert Cauty, Michael Zarichnyi \\ Classical dimension theory / Vitalij A. Chatyrko \\ Questions on weakly infinite-dimensional spaces / Vitalii V. Fedorchuk \\ Some problems in the dimension theory of compacta / Boris A. Pasynkov \\ Part 9. Invited problems \\ Problems from the Lviv topological seminar / Taras Banakh, Bohdan Bokalo, Igor Guran, Taras Radul, Michael Zarich-nyi \\ Problems from the Bizerte-Sfax-Tunis seminar / Othman Echi, Habib Marzougui, Ezeddine Salhi \\ Cantor set problems / Dennis J. Garity, Dusan Repovs \\ Problems from the Galway topology colloquium / Chris Good, Andrew Marsh, Aisling McCluskey, Brian McMaster \\ The lattice of quasi-uniformities / Eliza P. de Jager, Hans-Peter A. Kunzi \\ Topology in North Bay: some problems in continuum theory, dimension theory and selections / Alexandre Karasev, Murat Tuncali, Vesko Valov \\ Moscow questions on topological algebra / Konstantin L. Kozlov, Evgenii A. Reznichenko, Ol'ga V. Sipacheva \\ Some problems from George Mason University / John Kulesza, Ronnie Levy, Mikhail Matveev \\ Some problems on generalized metrizable spaces / Shou Lin \\ Problems from the Madrid Department of Geometry and Topology / Jose M. R. Sanjurjo \\ Cardinal sequences and universal spaces / Lajos Soukup", } @Article{Ganz:2014:DES, author = "Reinhard E. Ganz", title = "The Decimal Expansion of $ \pi $ Is Not Statistically Random", journal = j-EXP-MATH, volume = "23", number = "2", pages = "99--104", year = "2014", CODEN = "????", DOI = "https://doi.org/10.1080/10586458.2013.870504", ISSN = "1058-6458 (print), 1944-950X (electronic)", ISSN-L = "1058-6458", bibdate = "Wed Sep 10 07:36:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/expmath.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib; http://www.tandfonline.com/toc/uexm20/23/2", note = "See the reproduction of results, and reanalysis, in \cite{Bailey:2016:RCS}, that reveals a flaw in the statistical analysis in this paper: Ganz used only a single blocksize in sampling digits, and that blocksize produces anomalous statistics.", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", remark-1 = "From page 100, column 2: ``\ldots{} This resulted in a test of third-order symbolic statistics, which the decimal expansion of $\pi$ fails at a high level of statistical significance.''", remark-2 = "From page 104, column 1: ``Thus, the decimal expansion of $\pi$ cannot considered the realization of a sequence of iid random variables with uniform distribution on $\{0, 1, \ldots{}, 9\}$.''", remark-3 = "Graphs on page 103 of third-order statistics on the first $10^{13}$ digits of $\pi$ have quite different appearance before and after digit shuffling. The statistics after the shuffle more nearly resemble a normal distribution, whereas before, they are clearly skewed.", } @Book{Davis:2015:MSS, editor = "Ernest Davis and Philip J. Davis", title = "Mathematics, Substance, and Surmise: Views on the Meaning and Ontology of Mathematics", publisher = pub-SV, address = pub-SV:adr, year = "2015", DOI = "https://doi.org/10.1007/978-3-319-21473-3", ISBN = "3-319-21472-1, 3-319-21473-X (e-book)", ISBN-13 = "978-3-319-21472-6, 978-3-319-21473-3 (e-book)", LCCN = "QA8.4 .M38 2015", bibdate = "Fri Aug 12 18:53:08 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", abstract = "The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators, and mathematical historians; each brings their own expertise and insights to the discussion.", acknowledgement = ack-nhfb, subject = "Mathematics; Philosophy", tableofcontents = "Front Matter / i--vi \\ Introduction / Ernest Davis / 1--7 \\ Hardy, Littlewood, and {\em polymath} / Ursula Martin and Alison Pease / 9--23 \\ Experimental Computation as an Ontological Game Changer: The Impact of Modern Mathematical Computation Tools on the Ontology of Mathematics / David H. Bailey and Jonathan M. Borwein / 25--67 \\ Mathematical Products / Philip J. Davis / 69--74 \\ How Should Robots Think about Space? / Ernest Davis / 75--99 \\ Mathematics and its Applications / David Berlinski / 101--131 \\ Nominalism: The Nonexistence of Mathematical Objects / Jody Azzouni / 133--145 \\ An Aristotelian Approach to Mathematical Ontology / Donald Gillies / 147--176 \\ Let $G$ be a Group / Jesper L{\"u}tzen / 177--192 \\ From the Continuum to Large Cardinals / John Stillwell / 193--211 \\ Mathematics at Infinity / Jeremy Gray / 213--234 \\ Mathematics and Language / Jeremy Avigad / 235--255 \\ Mathematics as Language / Michah T. Ross / 257--285 \\ Mathematics as Multimodal Semiotics / Kay L. O'Halloran / 287--303 \\ Problems in Philosophy of Mathematics: A View from Cognitive Science / Steven T. Piantadosi / 305--320 \\ Beliefs about the Nature of Numbers / Lance J. Rips / 321--345 \\ What Kind of Thing Might Number Become? / Nathalie Sinclair / 347--363 \\ Enumerated Entities in Public Policy and Governance / Helen Verran / 365--379", } @Article{Cohn:2016:SPP, author = "Henry Cohn and Abhinav Kumar and Stephen D. Miller and Danylo Radchenko and Maryna Viazovska", title = "The sphere packing problem in dimension $ 24 $", journal = "arxiv.org", volume = "??", number = "??", pages = "1--12", day = "21", month = mar, year = "2016", bibdate = "Sat Apr 02 06:35:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/kepler.bib", URL = "http://arxiv.org/abs/1603.06518", acknowledgement = ack-nhfb, } @Article{Viazovska:2016:SPP, author = "Maryna Viazovska", title = "The sphere packing problem in dimension $8$", journal = "arxiv.org", volume = "??", number = "??", pages = "1--22", day = "14", month = mar, year = "2016", bibdate = "Sat Apr 02 06:35:47 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/kepler.bib", URL = "http://arxiv.org/abs/1603.04246", acknowledgement = ack-nhfb, } @Proceedings{Singh:1984:ATS, editor = "S. P. Singh and J. W. H. Burry and B. Watson", booktitle = "{Approximation Theory and Spline Functions. NATO Advanced Study Institute held at Memorial University of Newfoundland during August 22--September 2, 1983}", title = "{Approximation Theory and Spline Functions. NATO Advanced Study Institute held at Memorial University of Newfoundland during August 22--September 2, 1983}", volume = "136", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 485", year = "1984", DOI = "https://doi.org/10.1007/978-94-009-6466-2", ISBN = "94-009-6466-8, 94-009-6468-4", ISBN-13 = "978-94-009-6466-2, 978-94-009-6468-6", ISSN = "1389-2185", LCCN = "????", bibdate = "Tue Aug 16 11:51:58 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", series = "NATO ASI Series, Series C: Mathematical and Physical Sciences", acknowledgement = ack-nhfb, remark = "A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22--September 2, 1983. This volume consists of the Proceedings of that Institute. These Proceedings include the main invited talks and contributed papers given during the Institute. The aim of these lectures was to bring together Mathematicians, Physicists and Engineers working in the field. The lectures covered a wide range including Multivariate Approximation, Spline Functions, Rational Approximation, Applications of Elliptic Integrals and Functions in the Theory of Approximation, and Pade Approximation. We express our sincere thanks to Professors E. W. Cheney, J. Meinguet, J. M. Phillips and H. Werner, members of the International Advisory Committee. We also extend our thanks to the main speakers and the invi ted speakers, whose contri butions made these Proceedings complete. The Advanced Study Institute was financed by the NATO Scientific Affairs Division. We express our thanks for the generous support. We wish to thank members of the Department of Mathematics and Statistics at Memorial University who willingly helped with the planning and organizing of the Institute. Special thanks go to Mrs. Mary Pike who helped immensely in the planning and organizing of the Institute, and to Miss Rosalind Genge for her careful and excellent typing of the manuscript of these Proceedings.", subject = "Analysis; Approximations and Expansions; Global analysis (Mathematics); Mathematics", tableofcontents = "Front Matter / i--ix \\ Products of Polynomials / Bernard Beauzamy / 1--22 \\ Exchange Algorithms, Error Estimations and Strong Unicity in Convex Programming and Chebyshev Approximation / Hans-Peter Blatt / 23--63 \\ Four Lectures on Multivariate Approximation / E. W. Cheney / 65--87 \\ The Approximation of Certain Functions by Compound Means / D. M. E. Foster, G. M. Phillips / 89--95 \\ A Practical Method for Obtaining a Priori Error Bounds in Pointwise and Mean-Square Approximation Problems / Jean Meinguet / 97--125 \\ Surface Spline Interpolation: Basic Theory and Computational Aspects / Jean Meinguet / 127--142 \\ Interpolation of Scattered Data: Distance Matrices and Conditionally Positive Definite Functions / Charles A. Micchelli / 143--145 \\ Semi-Norms in Polynomial Approximation / G. M. Phillips, P. J. Taylor / 147--150 \\ On Spaces of Piecewise Polynomials in Two Variables / Larry L. Schumaker / 151--197 \\ Birkhoff Interpolation on the Roots of Unity / A. Sharma / 199--205 \\ Applications of Transformation Theory: A Legacy from Zolotarev (1847--1878) / John Todd / 207--245 \\ Explicit Algebraic Nth Order Approximations to PI / J. M. Borwein, P. B. Borwein / 247--256 \\ Solving Integral Equations of Nuclear Scattering by Splines / M. Brannigan / 257--264 \\ $H$-Sets for Non-Linear Constrained Approximation / M. Brannigan / 265--270 \\ Operator Pad{\'e} Approximants: Some ideas behind the theory and a numerical illustration / Annie A. H. Cuyt / 271--288 \\ Harmonic Approximation / Myron Goldstein / 289--292 \\ Best Harmonic L1 Approximation to Subharmonic Functions / M. Goldstein, W. Haussman, K. Jetter / 293--295 \\ B-Splines on the Circle and Trigonometric B-Splines / T. N. T. Goodman, S. L. Lee / 297--325 \\ On Reducing the Computational Error in the Successive Approximations Method / Fran{\c{c}}ois B. Gu{\'e}nard / 327--338 \\ Lebesgue Constants Determined by Extremal Sets / Myron S. Henry / 339--348 \\ Error Bounds for Interpolation by Fourth Order Trigonometric Splines / P. E. Koch / 349--360 \\ Approximation of Derivatives in $\mathbb{R}^n$ Application: Construction of Surfaces in $\mathbb{R}^2$ / Alain Le Mehaute / 361--378 \\ Meromorphic Functions, Maps and Their Rational Approximants in $\mathbb{C}^n$ / C. H. Lutterodt / 379--396 \\ Splines and Collocation for Ordinary Initial Value Problems / Syvert P. Norsett / 397--417 \\ Degree of Approximation of Quasi-Hermite--Fej{\'e}r Interpolation Based on Jacobi Abscissas $P_n(\alpha, \alpha) (x)$ / J. Prasad, A. K. Varma / 419--440 \\ Using Inclusion Theorems to Establish the Summability of Orthogonal Series / B. E. Rhoades / 441--453 \\ On Projections in Approximation Theory / Boris Shekhtman / 455--466 \\ A Survey of Exterior Asymptotics for Orthogonal Polynomials Associated with a Finite Interval and a Study of the Case of the General Weight Measures / Joseph L. Ullman / 467--478 \\ / Back Matter / 479--485", } @Book{Ferris:1991:WTP, editor = "Timothy Ferris", booktitle = "The World Treasury of Physics, Astronomy, and Mathematics", title = "The World Treasury of Physics, Astronomy, and Mathematics", publisher = pub-LITTLE-BROWN, address = pub-LITTLE-BROWN:adr, pages = "xv + 859", year = "1991", ISBN = "0-316-28129-8", ISBN-13 = "978-0-316-28129-4", LCCN = "QC71 .W67 1991", bibdate = "Fri Aug 12 15:08:42 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib; http://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib; http://www.math.utah.edu/pub/bibnet/authors/b/born-max.bib; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib; http://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib; http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/bibnet/authors/p/planck-max.bib; http://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib; http://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib; http://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib; http://www.math.utah.edu/pub/tex/bib/einstein.bib; z3950.loc.gov:7090/Voyager", note = "With a foreword by Clifton Fadiman, general editor.", abstract = "An astonishing cast of more than ninety renowned writers provides thoughtful and lucid reflections on some of the major scientific topics of our time --- from black holes and galaxies to artificial intelligence and chaos theory. Featuring essays, articles, and poems penned by notables in the worlds of both science and literature, this unique book will delight the science enthusiast and the inquisitive general reader alike.", acknowledgement = ack-nhfb, subject = "Physics; Astronomy; Mathematics; Science; Philosophy; Physicists; Biography; Astronomers; Mathematicians", subject = "Physics; Astronomy; Mathematics; Science; Philosophy; Physicists; Biography; Astronomers; Mathematicians; Physique; Astronomie; Math{\'e}matiques; Sciences; Philosophie; Physiciens; Biographies; Astronomes; Math{\'e}maticiens; Astronomers; Astronomy; Mathematicians; Mathematics; Physicists; Physics; Philosophy; Aufsatzsammlung; Naturwissenschaften; Physique; Astronomie; Math{\'e}matiques", tableofcontents = "Foreword \\ Preface \\ Part 1: Realm of the Atom \\ Atoms and quarks \\ Atoms in motion / Richard P. Feynman \\ Large and the small / Kenneth W. Ford \\ Gay tribe of electrons / George Gamow \\ Radioactive substances / Pierre Curie \\ $E = m c^2$ / Albert Einstein \\ Man who listened / Robert P. Crease and Charles C. Mann \\ Theory of electrons and positrons / Paul A. M. Dirac \\ Copenhagen interpretation of quantum theory / Werner Heisenberg \\ Uncertainty and complementarity / Heinz R. Pagels \\ Schrodinger's cat / Heinz R. Pagels \\ Unified theory of physics / Timothy Ferris \\ Butterflies and super strings / Freeman J. Dyson \\ Time and space \\ Distinction of past and future / Richard P. Feynman \\ Second law of thermodynamics / Max Planck \\ Age of the elements / David N. Schramm \\ Two masses / Isaac Asimov \\ Einstein's law of gravitation / Bertrand Russell \\ Black holes / Roger Penrose \\ Black holes ain't so black / Stephen W. Hawking \\ Part 2: Wider Universe \\ Sun and beyond \\ Total eclipse / Annie Dillard \\ Astride the comet / Carl Sagan and Ann Druyan \\ Cosmic terrorist / Richard Muller \\ I think I see it / Richard Muller \\ Classifying the stars / Annie J. Cannon \\ How a supernova explodes / Hans A. Bethe and Gerald Brown \\ Measuring the universe / Harlow Shapley \\ Milky Way galaxy / Bart J. Bok \\ Structure of the universe \\ Cosmology: the quest to understand the creation and expansion of the universe / Allan Sandage \\ Exploration of space / Edwin Hubble \\ Spherical space / Arthur Stanley Eddington \\ Primeval atom / Georges Lema{\^\i}tre \\ New physics and the universe / James Trefil \\ Let there be light: modern cosmogony and biblical creation / Owen Gingerich \\ Beginnings and endings \\ First three minutes / Steven Weinberg \\ Magic furnace / Harald Fritzsch \\ Origin of the universe / Alan Lightman \\ How will the world end? / John D. Barrow and Joseph Silk \\ Part 3: Cosmos of Numbers \\ About mathematics \\ Mathematician's apology / Godfrey Harold Hardy \\ Mathematics and creativity / Alfred Adler \\ How long is the coast of Britain? / Beno{\^\i}t B. Mandelbrot \\ Chaos / James Gleick \\ Artificial intelligence and all that \\ Computers / Lewis Thomas \\ Computer and the brain / John von Neumann \\ Can a machine think? / Alan Turing \\ Math angst \\ Loss of certainty / Morris Kline \\ Unreasonable effectiveness of mathematics in the natural sciences / Eugene P. Wigner \\ What is mathematics / John D. Barrow \\ Limits of mathematics / Philip J. Davis and Reuben Hersh \\ Part 4: Ways of Science \\ Scientists' lives and works \\ Albert Einstein / John Archibald Wheeler \\ Autobiographical notes / Albert Einstein \\ Tribute to Max Planck / Albert Einstein \\ Rutherford / C. P. Snow \\ Dirac / Jagdish Mehra \\ Hilbert / Paul A. M. Dirac \\ Quest for order / John Tierney \\ Legend of John von Neumann / P. R. Halmos \\ On the beach / Andrew Hodges \\ Ramanujan and Pi / Jonathan M. Borwein and Peter B. Borwein \\ Paul Erd{\H{o}}s: mathematician / Lee Dembart \\ Man of science-Abdus Salam / Nigel Calder \\ Two shakers of physics: memorial lecture for Sin-itiro Tomonaga / Julian Schwinger \\ Robert Wilson and the building of Fermilab / Philip J Hilts \\ Los Alamos / Stanislaw M. Ulam \\ Coming into my own / Luis W. Alvarez \\ Two cultures / C. P. Snow \\ Women in science / Vivian Gornick \\ Iron / Primo Levi \\ Poetry of science \\ When I heard the learn'd astronomer / Walt Whitman \\ I am like a slip of comet / Gerard Manley Hopkins \\ Arcturus / Emily Dickinson \\ Star-swirls / Robinson Jeffers \\ Galaxy / Richard Ryan \\ Molecular evolution / James Clerk Maxwell \\ Atomic architecture / A. M. Sullivan \\ Seeing things / Howard Nemerov \\ Cosmic gall / John Updike \\ Nomad / Anthony Piccione \\ Little cosmic dust poem / John Haines \\ Connoisseur of chaos / Wallace Stevens \\ Kings of the world / Rainer Maria Rilke \\ Windy planet / Annie Dillard \\ Space shuttle / Diane Ackerman \\ Epistemology / Richard Wilbur \\ What science says to truth / William Watson \\ from An essay on man / Alexander Pope \\ True enough: to the physicist / Johann Wolfgang von Goethe \\ About Planck time / George Bradley \\ Observatory ode / John Frederick Nims \\ Philosophy and science \\ Nature of science / Isaac Asimov \\ Art of discovery / Horace Freeland Judson \\ Structure of scientific revolutions / Thomas S. Kuhn \\ Logic of scientific discovery / Karl Popper \\ Causality and complementarity / Niels Bohr \\ From Letters to Max Born / Albert Einstein \\ Black magic and white magic / Jacob Bronowski \\ Positivism, metaphysics, and religion / Werner Heisenberg \\ Science and religion / Albert Einstein \\ Acknowledgments \\ Index", } @Proceedings{Cohen:1995:AAA, editor = "G. (G{\'e}rard) Cohen and Marc Giusti and Teo Mora", booktitle = "{Applied algebra, algebraic algorithms, and error-correcting codes: 11th international symposium, AAECC-11, Paris, France, July 1995: proceedings}", title = "{Applied algebra, algebraic algorithms, and error-correcting codes: 11th international symposium, AAECC-11, Paris, France, July 1995: proceedings}", volume = "948", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 484", year = "1995", DOI = "https://doi.org/10.1007/3-540-60114-7", ISBN = "3-540-60114-7 (softcover)", ISBN-13 = "978-3-540-60114-2 (softcover)", LCCN = "QA268 .A35 1995", bibdate = "Tue Mar 14 15:37:05 MDT 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/agm.bib; z3950.loc.gov:7090/Voyager", series = "Lecture notes in computer science", URL = "http://www.loc.gov/catdir/enhancements/fy0815/95021560-d.html", abstract = "This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995. The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gr{\"o}bner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.", acknowledgement = ack-nhfb, meetingname = "AAECC-11 (1995 : Paris, France)", subject = "Error-correcting codes (Information theory); Congresses; Algebra; Data processing; Algorithms", tableofcontents = "Front Matter Supports of a code / L. A. Bassalygo / 1--3 \\ Chemical isomerism, a challenge for algebraic combinatorics and for computer science / Ch. Benecke, R. Grund, R. Hohberger, A. Kerber, R. Laue, Th. Wieland / 4--20 \\ On algebraic methods in covering radius problems / I. Honkala, S. Litsyn, A. Tiet{\"a}v{\"a}inen / 21--32 \\ How lower and upper complexity bounds meet in elimination theory / Luis M. Pardo / 33--69 \\ Bivariate polynomial multiplication patterns / Arnold Sch{\"o}nhage / 70--81 \\ Division of entire functions by polynomial ideals / J. Apel / 82--95 \\ Variations on minimal codewords in linear codes / A. Ashikhmin, A. Barg, G. Cohen, L. Huguet / 96--105 \\ On the computation of the radical of polynomial complete intersection ideals / In{\'e}s Armend{\'a}riz, Pablo Solern{\'o} / 106--119 \\ Which families of long binary linear codes have a binomial weight distribution? / Th. Beth, H. Kalouti, D. E. Lazic / 120--130 \\ The discovery of simple 7-designs with automorphism group $P\Gamma L(2, 32)$ / Anton Betten, Adalbert Kerber, Axel Kohnert, Reinhard Laue, Alfred Wassermann / 131--145 \\ Fast exponentiation in cryptography / Irina. E. Bocharova, Boris. D. Kudryashov / 146--157 \\ On maximal spherical codes I / Peter Boyvalenkov, Ivan Landgev / 158--168 \\ Formal computation of Galois groups with relative resolvents / Antoine Colin / 169--182 \\ A case of automatic theorem proving in Euclidean geometry: the Maclane 83 theorem / Pasqualina Conti, Carlo Traverso / 183--193 \\ Isometry classes of indecomposable linear codes / Harald Fripertinger, Adalbert Kerber / 194--204 \\ When polynomial equation systems can be solved fast? / M. Giusti, J. Heintz, J. E. Morais, L. M. Pardo / 205--231 \\ Using symmetric functions to describe the solution set of a zero dimensional ideal / Laureano Gonz{\'a}lez-Vega, Guadalupe Trujillo / 232--247 \\ Triangular systems and factorized Gr{\"o}bner bases / Hans-Gert Gr{\"a}be / 248--261 \\ Computation in algebraic function fields for effective construction of algebraic--geometric codes / Ga{\'e}tan Hach{\'e} / 262--278 \\ Singly-even self-dual codes and Hadamard matrices / Masaaki Harada, Vladimir D. Tonchev / 279--284 \\ Implicitization of curves parameterized by generalized trigonometric polynomials / Hoon Hong / 285--296 \\ Randomness properties of partial-planes as LSI test inputs and their implementations / Yukihiro Kamiya, Takayuki Miki, Yoshihiro Iwadare / 297--311 \\ Mixed covering codes with two binary and four ternary coordinates / E. Kolev / 312--322 \\ About approximations of exponentials / P.-V. Koseleff / 323--333 \\ A note on normal bases / J. Lacan, E. Delpeyroux / 334--340 \\ On the covering radius of long Goppa codes / Fran{\c{c}}oise Levy-dit-Vehel, Simon Litsyn / 341--346 \\ Integration of multivariate rational functions given by straight-line programs / Guillermo Matera / 347--364 \\ Polynomial gcd computations over towers of algebraic extensions / Marc Moreno Maza, Renaud Rioboo / 365--382 \\ Displacements of matrix products / Quyen L. Nguyen, David H. Wood / 383--392 \\ Testing identities of series defined by algebraic partial differential equations / Ariane P{\'e}ladan-Germa / 393--407 \\ The complexity of formal resolution of linear partial differential equations / Brahim Sadik / 408--414 \\ A fast parallel implementation of the Berlekamp--Massey algorithm with a 1D systolic array architecture / Shojiro Sakata, Masazumi Kurihara / 415--426 \\ Tomography of constructible functions / P. Schapira / 427--435 \\ On the determination of formal solutions of a system of partial differential equations / Jirung Albert Shih / 436--447 \\ D4, E6, E8 and the AGM / Patrick Sole / 448--455 \\ Computation of the Galois groups of the resolvent factors for the direct and inverse Galois problems / Annick Valibouze / 456--468 \\ First integrals and Darboux polynomials of homogeneous linear differential systems / Jacques-Arthur Weil / 469--484 \\ Back Matter", } @Book{Faltings:1996:MM, author = "Gerd Faltings", booktitle = "{Moderne Mathematik}", title = "{Moderne Mathematik}", publisher = "Spectrum Akademischer Verlag", address = "Heidelberg, Germany", pages = "183", year = "1996", ISBN = "3-8274-0025-2", ISBN-13 = "978-3-8274-0025-3", LCCN = "????", bibdate = "Fri Aug 12 14:56:49 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Verst{\"a}ndliche Forschung.", ZMnumber = "0948.00500", acknowledgement = ack-nhfb, keywords = "Amy Dahan; Carl Pomerance; Dalmedico Vaughan; Daniel Gorenstein; Der Beweis Aufsatzsammlung; F. R. Jones; Gabriel Wittum; Geometrie; Georg Cantor; Gerd Faltings; Gerhard Frey; Hermann Karcher; Herold M. Edwards; Jeffrey R. Weeks; John E. Hopcroft; Jonathan M. Borwein; Joseph W. Dauben; Joseph W. Sloane; Kenneth Appel; Knotentheorie; Konrad Polthier; M. Edwards Der; Marshall W. Bern; Mathematik; Mehrgitterverfahren; Minimalfl{\"a}che; P. Thurston Jeffrey; Peter P. Borwein; Ronald L. Graham; Sophie Germain; Spektrum; Srinivasa Ramanujan; Turingmaschine; Vierfarbensatz; William P. Thurston; Wolfgang Haken; dreidimensionale Mannigfaltigkeit; einfache Gruppe; endliche Gruppe; fermatsches Theorem; kurzes Netzwerk; matematica moderna; statistische Mechanik; verst{\"a}ndlich Forschung Moderne Mathematik; verst{\"a}ndliche Forschung", subject = "Matem{\'a}ticas", tableofcontents = "Gerd Faltings / Einf{\"u}hrung / 7 \\ Amy Dahan Dalmedico / Sophie Germain / 8--15 \\ Vaughan F. R. Jones / Knotentheorie und statistische Mechanik / 16--23 \\ Hermann Karcher and Konrad Polthier / Die Geometrie von Minimalflachen / 24--37 \\ Gabriel Wittum / Mehrgitterverfahren / 38--51 \\ Marshall W. Bern and Ronald L. Graham / Das Problem des kurzesten Netzwerks / 52--58 \\ Jonathan M. Borwein and Peter B. Borwein / Srinivasa Ramanujan und die Zahl Pi / 60--68 \\ Daniel Gorenstein / Die Klassifikation der endlichen einfachen Gruppen / 70--82 \\ William P. Thurston and Jeffrey R. Weeks / Die Mathematik dreidimensionaler Mannigfaltigkeiten / 84--98 \\ John E. Hopcroft / Turingmaschinen / 100--111 \\ N. J. A. Sloane / Kugelpackungen im Raum / 112--123 \\ Joseph W. Dauben / Georg Cantor und die Machtigkeit der Mengen / 124--134 \\ Carl Pomerance / Primzahlen im Schnelltest / 136--146 \\ Kenneth Appel and Wolfgang Haken / Der Beweis des Vierfarbensatzes / 148--157 \\ Herold M. Edwards / Das Fermatsche Theorem / 158--165 \\ Gerhard Frey / Der Beweis des Fermatschen Theorems / 166--175", } @Book{Berggren:1997:PSB, editor = "J. L. Berggren and Jonathan M. Borwein and Peter B. Borwein", booktitle = "Pi, a source book", title = "Pi, a source book", publisher = pub-SV, address = pub-SV:adr, pages = "xix + 716", year = "1997", ISBN = "0-387-94924-0", ISBN-13 = "978-0-387-94924-6", LCCN = "QA484 .P5 1997", bibdate = "Tue Aug 16 08:54:25 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib; z3950.loc.gov:7090/Voyager", abstract = "This book documents the history of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. Much significant mathematics originates with pi, and many great mathematicians have contributed to this story's unfolding. Mathematicians and historians of mathematics will find this book indispensable. Teachers at every level can find here ample resources for anything from individual talks and student projects to special topics courses.", acknowledgement = ack-nhfb, subject = "Pi", tableofcontents = "1. The Rhind Mathematical Papyrus-Problem 50 (ca. 1650 B.C.) \\ 2. Engels, Quadrature of the Circles in Ancient Egypt (1977) \\ 3. Archimedes, Measurement of a Circle (ca. 250 BC) \\ 4. Phillips. Archimedes the Numerical Analysis (1981) \\ 5. Lam and Ang. Circle Measurements in Ancient China (1986) \\ 6. The Banu Musa: The Measurement of Plane and Solid Figures (ca. 850) \\ 7. Madhava. The Power Series for Arctan and Pi (ca. 1400) \\ 8. Hope-Jones. Ludolph (or Ludolff or Lucius) van Ceulen (1938) \\ 9. Vi{\`e}te. Variorum de Rebus Mathematicis Reponsorum Liber VII (1593) \\ 10. Wallis. Computation of $\pi$ by Successive Interpolations (1655) \\ 11. Wallis. Arithmetica Infinitorum (1655) \\ 12. Huygens. De Circull Magnitudine Inventa (1724) \\ 13. Gregory. Correspondence with John Collins (1671) \\ 14. Roy. The Discovery of the Series Formula for $\pi$ by Leibniz, Gregory, and Nilakantha (1990) \\ 15. Jones. The First Use of $\pi$ for the Circle Ratio (1706) \\ 16. Newton. Of the Method of Fluxious and Infinite Series (1737) \\ 17. Euler. Chapter 10 of Introduction to Analysis of the Infinite (On the Use of Discovered Fractions to Sum Infinite Series) (1748) \\ 18. Lambert. M{\'e}moire sur Quelques Propri{\'e}t{\'e}s Remarquables des Quantit{\'e}s Transcendentes Circulaires et Logarithmiques (1761) \\ 19. Lambert. Irrationality of $\pi$ (1969) \\ 20. Shanks. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals (1853) \\ 21. Hermite. Sur La Fonction Exponentielle (1873) \\ 22. Lindemann. Ueber die Zahl $\pi$ (1882) \\ 23. Weierstrass. Zu Lindemann's Abhandlung ``{\"U}ber die Ludolphsche Zahl'' (1885) \\ 24. Hilbert. Ueber die Trancendenz der Zahlen $e$ und $\pi$ (1893) \\ 25. Goodwin. Quadrature of the Circle (1894) \\ 26. Edington. House Bill No. 246, Indiana State Legislature, 1897 (1935) \\ 27. Singmaster. The Legal Values of Pi (1985) \\ 28. Ramanujan. Squaring the Circle (1913) \\ 29. Ramanujan. Modular Equations and Approximations to $\pi$ (1914) \\ 30. Watson. The Marquis and the Land Agent: A Tale of the Eighteenth Century (1933) \\ 31. Ballantine. The Best (?) Formula for Computing $\pi$ to a Thousand Places (1939) \\ 32. Birch. An Algorithm for Construction of Arctangent Relations (1946) \\ 33. Niven. A Simple Proof that $\pi$ Is Irrational (1947) \\ 34. Reitwiesner. An ENIAC Determination of $\pi$ and e to 2000 Decimal Places (1950) \\ 35. Schepler. The Chronology of Pi (1950) \\ 36. Mahler. On the Approximation of $\pi$ (1953) \\ 37. Wrench, Jr. The Evolution of Extended Decimal Approximations to $\pi$ (1960) \\ 38. Shanks and Wrench, Jr. Calculation of $\pi$ to 100,000 Decimals (1962) \\ 39. Sweeny. On the Computation of Euler's Constant (1963) \\ 40. Baker. Approximation to the Logarithms of Certain Rational Numbers (1964) \\ 41. Adams. Asymptotic Diophantine Approximations to E (1966) \\ 42. Mahler. Applications of Some Formulae by Hermite to the Approximations of Exponentials of Logarithms (1967) \\ 43. Eves. In Mathematical Circles; A Selection of Mathematical Stories and Anecdotes (excerpt) (1969) \\ 44. Eves. Mathematical Circles Revisited; A Second Collection of Mathematical Stories and Anecdotes (excerpt) (1971) \\ 45. Todd. The Lemniscate Constants (1975) \\ 46. Salamin. Computation of $\pi$ using Arithmetic--Geometric Mean (1976) \\ 47. Brent. Fast Multiple-Precision Evaluation of Elementary Functions (1976) \\ 48. Beukers. A Note on the Irrationality of $\zeta(2)$ and $\zeta(3)$ (1979) \\ 49. van der Poorten. A Proof that Euler Missed \ldots{} Ap{\'e}ry's Proof of the Irrationality of $\zeta(3)$ (1979) \\ 50. Brent and McMillan. Some New Algorithms for High-Precision Computation of Euler's Constant (1980) \\ 51. Apostol. A Proof that Euler Missed: Evaluating $\zeta(2)$ the Easy Way (1983) 52. O'Shaughnessy. Putting God Back in Math (1983) \\ 53. Stern. A Remarkable Approximation to $\pi$ (1985) \\ 54. Newman and Shanks. On a Sequence Arising in Series for $\pi$ (1984) \\ 55. Cox. The Arithmetic--Geometric Mean of Gauss (1984) \\ 56. Borwein and Borwein. The Arithmetic--Geometric Mean and Fast Computation of Elementary Functions (1984) \\ 57. Newmann. A Simplified Version of the Fast Algorithms of Brent and Salamin (1984) \\ 58. Wagon. Is Pi Normal? (1985) \\ 59. Keith. Circle Digits: A Self-Referential Story (1986) \\ 60. Bailey. The Computation of $\pi$ to 29,360,000 Decimal Digits Using Borweins' Quartically Convergent Algorithm (1988) \\ 61. Kanada. Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of $\pi$ Calculation (1988) \\ 62. Borwein and Borwein. Ramanujan and Pi (1988) \\ 63. Chudnovsky and Chudnovsky. Approximation and Complex Multiplication According to Ramanujan (1988) \\ 64. Borwein, Borwein and Bailey. Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi (1989) \\ 65. Borwein, Borwein and Dilcher. Pi, Euler Numbers, and Asymptotic Expansions (1989) \\ 66. Beukers, Bezivin, and Robba. An Alternative Proof of the Lindemann-Weierstrass Theorem (1990) \\ 67. Webster. The Tail of Pi (1991) \\ 68. Eco. An excerpt from Foucault's Pendulum (1993) \\ 69. Keith. Pi Mnemonics and the Art of Constrained Writing (1996) \\ 70. Bailey, Borwein, and Plouffe. On the Rapid Computation of Various Polylogarithmic Constants (1996) \\ App. I. On the Early History of Pi \\ App. II. A Computational Chronology of Pi \\ App. III. Selected Formulae for Pi", } @Proceedings{Borwein:1997:OMP, editor = "Jonathan M. Borwein and Peter B. Borwein and Loki J{\"o}rgenson and Rob Corless", booktitle = "{Organic mathematics: proceedings of the Organic Mathematics Workshop, December 12--14, 1995, Simon Fraser University, Burnaby, British Columbia}", title = "{Organic mathematics: proceedings of the Organic Mathematics Workshop, December 12--14, 1995, Simon Fraser University, Burnaby, British Columbia}", volume = "20", publisher = pub-AMS, address = pub-AMS:adr, pages = "ix + 412", year = "1997", ISBN = "0-8218-0668-8", ISBN-13 = "978-0-8218-0668-5", ISSN = "0731-1036", LCCN = "QA1 .O67 1995", MRclass = "00B25 (11-06)", MRnumber = "1483910", bibdate = "Tue Aug 16 08:57:59 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "CMS conference proceedings", acknowledgement = ack-nhfb, remark = "Am Kopf der Titelseite: Canadian Mathematical Society = Soci{\'e}t{\'e} Math{\'e}matique du Canada. ``This volume is the ''hardcopy`` version of the intrinsically electronic ''Proceedings of the Organic Mathematics Workshop`` held \ldots{} in December of 1995''. ``Published by the American Mathematical Society for the Canadian Mathematical Society''.", tableofcontents = "What is organic mathematics? / Jonathan M. Borwein, Peter B. Borwein, Robert M. Corless, Loki J{\"o}rgenson, and Nathalie Sinclair \\ Pfaff's method (III): comparison with the WZ method / George E. Andrews \\ Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi / D. H. Bailey, J. M. Borwein, and P. B. Borwein \\ Recognizing numerical constants / David H. Bailey and Simon Plouffe \\ Approximations to $\pi$ via the Dedekind eta function / J. M. Borwein and F. G. Garvan \\ Beta expansion for Salem numbers / David W. Boyd", tableofcontents = "Jonathan M. Borwein, Peter B. Borwein, Robert M. Corless, Loki J{\"o}rgenson and Nathalie Sinclair / What is organic mathematics? / 1--18 \\ George E. Andrews / Pfaff's method. III. Comparison with the WZ method [MR1392506] / 19--34 \\ D. H. Bailey, J. M. Borwein and P. B. Borwein / Ramanujan, modular equations, and approximations to pi or How to compute one billion digits of pi [MR0991866] / 35--71 \\ David H. Bailey and Simon Plouffe / Recognizing numerical constants / 73--88 \\ J. M. Borwein and F. G. Garvan / Approximations to $ \pi $ via the Dedekind eta function / 89--115 \\ David W. Boyd / The beta expansion for Salem numbers / 117--131 \\ Joe Buhler, David Eisenbud, Ron Graham and Colin Wright [Colin Douglas Wright] / Juggling drops and descents [MR1274973] / 133--154 \\ Arjeh M. Cohen and David B. Wales / GL(4)-orbits in a 16-dimensional module for characteristic 3 [MR1409976] / 155--174 \\ K. Belabas and H. Cohen [Henri Cohen] / Binary cubic forms and cubic number fields / 175--204 \\ Robert M. Corless / Continued fractions and chaos [MR1216205] / 205--238 \\ P. J. Forrester and A. M. Odlyzko / A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices / 239--251 \\ Andrew Granville / Arithmetic properties of binomial coefficients. I. Binomial coefficients modulo prime powers / 253--276 \\ John H. Hubbard, Jean Marie McDill, Anne Noonburg and Beverly H. West / A new look at the Airy equation with fences and funnels / 277--303 \\ Jeffrey C. Lagarias / The $ 3 x + 1 $ problem and its generalizations [MR0777565] / 305--334 \\ C. W. H. Lam / The search for a finite projective plane of order 10 [MR1103185] / 335--355 \\ Stan Wagon / New visualization ideas for differential equations / 357--381 \\ Selected images from the Proceedings / 383--386 \\ Stephen P. Braham / Internet, executable content, and the future of mathematical science communication / 387--405 \\ Wayne Haga and Sinai Robins / On Kruskal's principle / 407--412", } @Book{Berndt:2001:RES, editor = "Bruce C. Berndt and Robert A. (Robert Alexander) Rankin", booktitle = "{Ramanujan}: essays and surveys", title = "{Ramanujan}: essays and surveys", volume = "22", publisher = pub-AMS, address = pub-AMS:adr, pages = "xvi + 347", year = "2001", ISBN = "0-8218-2624-7", ISBN-13 = "978-0-8218-2624-9", ISSN = "0899-2428", ISSN-L = "0899-2428", LCCN = "QA29.R3 R29 2001", MRnumber = "11-03, 01A70, 00B60, 01-06", bibdate = "Sat Sep 3 16:48:18 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "History of mathematics", ZMnumber = "1117.11002", acknowledgement = ack-nhfb, subject = "Ramanujan Aiyangar, Srinivasa; Mathematicians; India; Biography; Number theory", subject-dates = "1887--1920", tableofcontents = "Bruce C. Berndt / The four photographs of Ramanujan / 3--8 \\ Bruce C. Berndt and Robert A. Rankin / The books studied by Ramanujan in India / 9--15 \\ Bruce C. Berndt / The influence of Carr's synopsis on Ramanujan / 17--20 \\ Bruce C. Berndt / The notebooks of Srinivasa Ramanujan / 21--22 \\ A recently discovered letter giving Ramanujan's examination scores / 23 \\ S. Chandrasekhar / On Ramanujan / 25--27 \\ Robert A. Rankin / The Ramanujan family record / 29--38 \\ R. A. Rankin / Ramanujan as a patient / 41--64 \\ D. A. B. Young / Ramanujan's illness / 65--75 \\ S. Chandrasekhar / An incident in the life of S. Ramanujan, F.R.S.: conversations with G. H. Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel / 77--79 \\ Bruce C. Berndt / S. Janaki Ammal (Mrs. Ramanujan) / 83--87 \\ Pritish Nandy / Conversation: ``I didn't understand his work, but I knew his worth'' / 89--93 \\ Bruce C. Berndt / A short biography of S. Narayana Iyer / 97--98 \\ S. Narayana Aiyar / The distribution of primes / 99--100 \\ S. Narayana Aiyar / Some theorems in summation / 101--103 \\ E. H. Neville / Srinivasa Ramanujan / 107--112 \\ University lectures in Madras / 113 \\ R. A. Rankin / Ramanujan's manuscripts and notebooks / 117--128 \\ R. A. Rankin / Ramanujan's manuscripts and notebooks. II / 129--142 \\ Bruce C. Berndt / An overview of Ramanujan's notebooks / 143--164 \\ George E. Andrews / An introduction to Ramanujan's ``lost'' notebook / 165--184 \\ Jonathan M. Borwein and Peter B. Borwein / Ramanujan and pi / 187--199 \\ Bruce C. Berndt / $\pi$ related developments since 1988 / 201 \\ Atle Selberg / Reflections around the Ramanujan centenary / 203--213 \\ Bruce C. Berndt, Youn-Seo Choi and Soon-Yi Kang / The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society / 215--258 \\ Freeman J. Dyson / A walk through Ramanujan's garden / 261--275 \\ R. Askey / Ramanujan and hypergeometric and basic hypergeometric series / 277--324 \\ G. N. Watson / The final problem: an account of the mock theta functions / 325--347", } @Proceedings{Borwein:2002:MTC, editor = "Jonathan M. Borwein and Maridee Morales and Konrad Polthier and Jose Francisco Rodrigues", booktitle = "Multimedia Tools for Communicating Mathematics", title = "Multimedia Tools for Communicating Mathematics", volume = "8", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 314", year = "2002", DOI = "https://doi.org/10.1007/978-3-642-56240-2", ISBN = "3-540-42450-4 (hardcover)", ISBN-13 = "978-3-540-42450-5 (hardcover)", LCCN = "QA20.C65 M85 2002", bibdate = "Tue Aug 16 08:52:06 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Mathematics and visualization", URL = "http://www.loc.gov/catdir/enhancements/fy0817/2002283245-d.html; http://www.loc.gov/catdir/toc/fy032/2002283245.html", abstract = "This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized by the Centro de Matem{\'a}tica e Aplica{\c{c}}oes Fundamentais at the University of Lisbon, in November 2000, with the collaboration of the Sonderforschungsbereich 288 at the University of Technology in Berlin, and of the Centre for Experimental and Constructive Mathematics at Simon Fraser University in Burnaby, Canada. The MTCM2000 meeting aimed at the scientific methods and algorithms at work inside multimedia tools, and it provided an overview of the range of present multimedia projects, of their limitations and the underlying mathematical problems. This book presents some of the tools and algorithms currently being used to create new ways of making enhanced interactive presentations and multimedia courses. It is an invaluable and up-to-date reference book on multimedia tools presently available for mathematics and related subjects.", acknowledgement = ack-nhfb, subject = "Mathematics; Computer-assisted instruction; Interactive multimedia", tableofcontents = "Front Matter / i--viii \\ 1: Computer animated mathematics videotapes / Tom M. Apostol / 1--27 \\ 2: Virtual reconstruction of a virtual exhibit / Thomas F. Banchoff and Davide P. Cervone / 29--38 \\ 3: An intuitive approach to elementary mathematics on the Web / Bruce Bauslaugh [and others] / 39--49 \\ 4: {\em OpenMath\/} technology for interactive mathematical documents / Olga Caprotti, Arjeh M. Cohen, Hans Cuypers, Hans Sterk / 51--65 \\ 5: The StageTools package for creating geometry for the Web / Davide P. Cervone / 67--77 \\ 6: Communicating and learning mathematics and hypervideo / Teresa Chambel and Numo Guimar{\'a}es / 79--91 \\ 7: Collaboration in a multimedia laboratory / {\'E}liane Cousquer / 93--116 \\ 8: jDvi, a way to put interactive {\TeX} on the Web / Tim Hoffmann / 117--130 \\ 9: Visual calculus, development and tools / Lawrence S. Husch / 131--163 \\ Color Plates / 141 \\ 10: EG-models --- a new journal for digital geometry models / Michael Joswig and Konrad Polthier / 165--190 \\ 11: Future of mathematical software / Ulrich H. Kortenkamp / 191--201 \\ 12: Dynamic setup for elementary geometry / Ulrich H. Kortenkamp and J{\"u}rgen Richter-Gebert / 203--219 \\ 13: Dynamic geometry on WWW / Gilles Kuntz / 221--229 \\ 14: Minimalistic tools for mathematical multimedia / Erich Neuwirth / 231--239 \\ 15: Publication of interactive visualizations and Java View / Konrad Polthier [and others] / 241--264 \\ 16: Solver learning environment for solving mathematical word problems: Pupils Discussions / Heli Ruokamo / 265--276 \\ 17: Interactive knot theory with KnotPlot / Robert G. Scharein and Kellogg S. Booth / 277--290 \\ 18: Developing Gato and CATBox with Python: Teaching Graph Algorithms through Visualization and Experimentation / Alexander Schliep and Winfried Hochst{\"a}ttler / 291--309 \\ 19: Rescalable real-time interactive computer animations / John M. Sullivan / 311--214", } @Proceedings{Asperti:2003:MKM, editor = "Andrea Asperti and Bruno Buchberger and James Harold Davenport", booktitle = "{Mathematical knowledge management: second international conference, MKM 2003, Bertinoro, Italy, February 16--18, 2003: proceedings}", title = "{Mathematical knowledge management: second international conference, MKM 2003, Bertinoro, Italy, February 16--18, 2003: proceedings}", volume = "2594", publisher = pub-SV, address = pub-SV:adr, pages = "x + 223", year = "2003", DOI = "https://doi.org/10.1007/3540364692", ISBN = "3-540-00568-4 (softcover)", ISBN-13 = "978-3-540-00568-1 (softcover)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", LCCN = "QA76.95 .I565 2003", bibdate = "Sat Aug 13 17:26:10 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Lecture notes in computer science", URL = "http://www.loc.gov/catdir/enhancements/fy0817/2003042408-d.html", acknowledgement = ack-nhfb, meetingname = "International Conference on Mathematical Knowledge Management (2nd: 2003: Bertinoro, Italy)", subject = "Mathematics; Data processing; Congresses; Information storage and retrieval systems; Automatic theorem proving", tableofcontents = "Digitisation, Representation, and Formalisation (Digital Libraries of Mathematics) / Andrew A. Adams / 1 \\ MKM from Book to Computer: A Case Study / James H. Davenport / 17 \\ From Proof-Assistants to Distributed Libraries of Mathematics: Tips and Pitfalls / Claudio Sacerdoti Coen / 30 \\ Managing Digital Mathematical Discourse / Jonathan Borwein and Terry Stanway / 45 \\ NAG Library Documentation / David Carlisle and Mike Dewar / 56 \\ On the Roles of \LaTeX{} and MathML in Encoding and Processing Mathematical Expressions / Luca Padovani / 66 \\ Problems and Solutions for Markup for Mathematical Examples and Exercises / Georgi Goguadze, Erica Melis, Carsten Ullrich and Paul Cairns / 80 \\ An Annotated Corpus and a Grammar Model of Theorem Description / Yusuke Baba and Masakazu Suzuki / 93 \\ A Query Language for a Metadata Framework about Mathematical Resources / Ferruccio Guidi and Irene Schena / 105 \\ Information Retrieval in MML / Grzegorz Bancerek and Piotr Rudnicki / 119 \\ An Expert System for the Flexible Processing of XML-Based Mathematical Knowledge in a PROLOG-Environment / Bernd D. Heumesser, Dietmar A. Seipel and Ulrich Guntzer / 133 \\ Towards Collaborative Content Management and Version Control for Structured Mathematical Knowledge / Michael Kohlhase and Romeo Anghelache / 147 \\ On the Integrity of a Repository of Formalized Mathematics / Piotr Rudnicki and Andrzej Trybulec / 162 \\ A Theoretical Analysis of Hierarchical Proofs / Paul Cairns and Jeremy Gow / 175 \\ Comparing Mathematical Provers / Freek Wiedijk / 188 \\ Translating Mizar for First Order Theorem Provers / Josef Urban / 203 \\ The Mathematical Semantic Web / Massimo Marchiori / 216 \\ Author Index / 225", } @Proceedings{Kisilevsky:2004:NTP, editor = "Hershy Kisilevsky and Eyal Z. (Eyal Zvi) Goren", booktitle = "Number theory. {Papers from the 7th conference of the Canadian Number Theory Association, University of Montreal, Montreal, QC, Canada, May 19--25, 2002}", title = "Number theory. {Papers from the 7th conference of the Canadian Number Theory Association, University of Montreal, Montreal, QC, Canada, May 19--25, 2002}", volume = "36", publisher = pub-AMS, address = pub-AMS:adr, pages = "xxiii + 303", year = "2004", ISBN = "0-8218-3331-6", ISBN-13 = "978-0-8218-3331-5", LCCN = "QA241 .N8645 2004", bibdate = "Sat Aug 13 17:33:43 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "CRM proceedings and lecture notes", abstract = "This volume contains a collection of articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Math{\'e}matiques (CRM) at the University of Montreal. The book represents a cross section of current research and new results in number theory. Topics covered include algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation. The volume contains both research and expository papers suitable for graduate students and researchers interested in number theory.", acknowledgement = ack-nhfb, subject = "Number theory; Congresses", tableofcontents = "List of Participants / vii \\ List of Speakers / xvii \\ Preface / xxiii \\ Mesure de Mahler et R{\'e}gulateur Elliptique: Preuve de Deux Relations {\em Exotiques} / Marie Jos{\'e} Bertin / 1 \\ The $p$-adic Height Pairings of Coleman--Gross and of Nekovar / Amnon Besser / 13 \\ Dirichlet Series for Squares of Sums of Squares: A Summary / Jonathan Michael Borwein and Kwok-Kwong Stephen Choi / 27 \\ Equivariant Whitehead Torsion and Refined Euler Characteristics / David Burns / 35 \\ Questions about the Reductions Modulo Primes of an Elliptic Curve / Alina Garmen Gojocaru / 61 \\ New Perspectives in Arakelov Geometry / Caterina Consani and Matilde Marcolli / 81 \\ A Fourteenth Lecture on Fermat's Last Theorem / Henri Darmon / 103 \\ Number Fields with Large Class Group / William Duke / 117 \\ Period Polynomials for $\mathbb{F}_q$ of Fixed Small Degree / Stanley J. Gurak / 127 \\ Some Recent Results about (Ternary) Quadratic Forms / Jonathan Hanke / 147 \\ An Extension of a Theorem of D. H. Lehmer / Lenny Jones / 165 \\ On a Family of Real Bicyclic Biquadratic Fields / Shin-ichi Katayama, Glaude Levesque, and Toru Nakahara / 177 \\ Belyi Parametrisations of Elliptic Curves and Congruence Defects / Chandrashekhar Khare / 189 \\ An Application of Exterior Square Functoriality of GL$_4$; Asai Lift / Henry H. Kim / 197 \\ Totally Real Integral Points on a Plane Algebraic Curve / Michel Laurent / 203 \\ On the Largest Prime Factor of a Mersenne Number / Leo Murata and Carl Pomerance / 209 \\ On the $p$-Adic Series $\sum_{n = 1}^\infty n^k \cdot n!$ / M. Ram Murty and Sarah Sumner / 219 \\ Hecke Operators and the $q$-Expansion of Modular Forms / Ken Ono / 229 \\ An ABC Construction of Number Fields / David P. Roberts / 237 \\ Diophantine Approximation in Small Degree / Damien Roy / 269 \\ Compact Operators with Rational Generation / Lawren Smithline / 287 \\ The Canonical Height of a Finite {\'E}tale $K$-Algebra / Valerio Talamanca / 295", } @Proceedings{Borwein:2006:MKM, editor = "Jonathan M. Borwein and William Michael Farmer", booktitle = "{Mathematical knowledge management: 5th international conference, MKM 2006, Wokingham, UK, August 11--12, 2006: proceedings}", title = "{Mathematical knowledge management: 5th international conference, MKM 2006, Wokingham, UK, August 11--12, 2006: proceedings}", volume = "4108", publisher = pub-SV, address = pub-SV:adr, pages = "viii + 294", year = "2006", DOI = "https://doi.org/10.1007/11812289", ISBN = "3-540-37104-4 (paperback)", ISBN-13 = "978-3-540-37104-5 (paperback)", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", LCCN = "QA76.95 .M56 2006", bibdate = "Sat Aug 13 17:14:59 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Lecture notes in computer science; Lecture notes in artificial intelligence", URL = "http://www.loc.gov/catdir/enhancements/fy0825/2006930246-d.html; http://www.loc.gov/catdir/enhancements/fy1402/2006930246-t.html", acknowledgement = ack-nhfb, meetingname = "MKM 2006 (2006: Wokingham, England)", subject = "Mathematics; Data processing; Congresses; Information storage and retrieval systems; Automatic theorem proving", tableofcontents = "Front Matter \\ Invited Talks \\ The Omega Number: Irreducible Complexity in Pure Math / Gregory J. Chaitin / 1--1 \\ Roles of Math Search in Mathematics / Abdou Youssef / 2--16 \\ Contributed Papers \\ Structured Induction Proofs in Isabelle\slash Isar / Makarius Wenzel / 17--30 \\ Interpretation of Locales in Isabelle: Theories and Proof Contexts / Clemens Ballarin / 31--43 \\ A Dynamic Poincar{\'e} Principle / Manfred Kerber / 44--53 \\ A Proof-Theoretic Approach to Tactics / Kamal Aboul-Hosn / 54--66 \\ A Formal Correspondence Between OMDoc with Alternative Proofs and the $ \bar{\lambda} \mu \tilde{\mu} $-Calculus / Serge Autexier, Claudio Sacerdoti-Coen / 67--81 \\ Proof Transformation by CERES / Matthias Baaz, Stefan Hetzl, Alexander Leitsch, Clemens Richter, Hendrik Spohr / 82--93 \\ Synthesizing Proof Planning Methods and $ \Omega $-Ants Agents from Mathematical Knowledge / Serge Autexier, Dominik Dietrich / 94--109 \\ Verifying and Invalidating Textbook Proofs Using Scunak / Chad E. Brown / 110--123 \\ Capturing Abstract Matrices from Paper / Toshihiro Kanahori, Alan Sexton, Volker Sorge, Masakazu Suzuki / 124--138 \\ Towards a Parser for Mathematical Formula Recognition / Amar Raja, Matthew Rayner, Alan Sexton, Volker Sorge / 139--151 \\ Stochastic Modelling of Scientific Terms Distribution in Publications / Rimantas Rudzkis, Vaidas Balys, Michiel Hazewinkel / 152--164 \\ Capturing the Content of Physics: Systems, Observables, and Experiments / Eberhard R. Hilf, Michael Kohlhase, Heinrich Stamerjohanns / 165--178 \\ Communities of Practice in MKM: An Extensional Model / Andrea Kohlhase, Michael Kohlhase / 179--193 \\ From Notation to Semantics: There and Back Again / Luca Padovani, Stefano Zacchiroli / 194--207 \\ Managing Informal Mathematical Knowledge: Techniques from Informal Logic / Andrew Aberdein / 208--221 \\ From Untyped to Polymorphically Typed Objects in Mathematical Web Services / William Naylor, Julian Padget / 222--236 \\ Managing Automatically Formed Mathematical Theories / Simon Colton, Pedro Torres, Paul Cairns, Volker Sorge / 237--250 \\ Authoring LeActiveMath Calculus Content / Paul Libbrecht, Christian Gross / 251--265 \\ Information Retrieval and Rendering with MML Query / Grzegorz Bancerek / 266--279 \\ Integrating Dynamic Geometry Software, Deduction Systems, and Theorem Repositories / Pedro Quaresma, Predrag Jani{\v{c}}i{\'c} / 280--294 \\ Back Matter", } @Book{Borwein:2008:CMD, editor = "Jonathan M. Borwein and E. M. (Eugenio M.) Rocha and Jos{\'e}-Francisco Rodrigues", booktitle = "Communicating Mathematics in the Digital Era", title = "Communicating Mathematics in the Digital Era", publisher = pub-A-K-PETERS, address = pub-A-K-PETERS:adr, pages = "xii + 325", year = "2008", DOI = "https://doi.org/10.1201/b10587", ISBN = "1-56881-410-0", ISBN-13 = "978-1-56881-410-0", LCCN = "QA76.95 .C59 2008", bibdate = "Tue Nov 10 17:48:02 MST 2009", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/toc/fy0903/2008022183.html", acknowledgement = ack-nhfb, libnote = "Not in my library.", remark = "This book reflects many of the contributions \ldots{} that were delivered and discussed at the ICM 2006 satellite meeting entitled ``Communicating Mathematics in the Digital Era'' (CMDE2006), which took place at the University of Aveiro in Portugal, August 15--18, 2006.", subject = "mathematics; data processing; congresses; libraries and electronic publishing; image processing; digital techniques", tableofcontents = "Front Matter / i \\ Part I. Electronic Publishing and Digital Libraries / 1 \\ 1. Disseminating and Preserving Mathematical Knowledge / E. M. Rocha / 3 \\ 2. The Digital Downside / J. Ewing / 23 \\ 3. Implementing Electronic Access for an Independent Journal / K. Kaiser / 31 \\ 4. Toward a Digital Mathematics Library? / T. Bouche / 47 \\ 5. The DML-CZ Project / M. Barto{\v{s}}ek, M. Lhot{\'a}k, J. R{\'a}kosn{\'\i}k, P. Sojka, M. {\v{S}}{\'a}rfy / 75 \\ 6. The DML-E Digitization Project and Related Topics / E. Mac{\'\i}as-Virg{\'o}s / 87 \\ 7. Digital Libraries and the Rebirth of Printed Journals / J. Borbinha / 97 \\ 8. A Digital Library Framework for the University of Aveiro / M. Fernandes, P. Almeida, J. A. Martins, J. S. Pinto / 111 \\ Part 2. Technology Enhancements for Disseminating Mathematics / 125 \\ 9. Coast-to-Coast (C2C) Seminar / J. Borwein, V. Jungi{\'c}, D. Langstroth, M. Macklem, S. Wilson / 127 \\ 10. Digitally Enhanced Documents / K. Kanev, N. Mirenkov, N. Kamiya / 141 \\ 11. Speech and Tactile Assistive Technologies / C. Bernareggi, V. Brigatti, D. Campanozzi, A. Messini / 157 \\ 12. On the Conversion between Content MathML and OpenMath / C. M. So, S. M. Watt / 169 \\ 13. XML-Based Format for Geometry / P. Quaresma, P. Jani{\v{c}}i{\'c}. Toma{\v{s}}evi{\'c}, M. V.-Jani{\v{c}}i{\'c}, and D. To{\v{s}}i{\'c} / 183 \\ 14. From Parametrized Graphics to Interactive Illustrations / M. Kraus / 199 \\ Part 3. Educational and Cultural Frameworks / 213 \\ 15. Reaching Mathematical Audiences across All Levels / T. Banchoff / 215 \\ 16. Toward Autonomous Learners of Mathematics / Olga Caprott, Mika Sepp{\"a}l{\"a}, Sebastian Xamb{\'o} / 225 \\ 17. The IntBook Concept as an Adaptive Web Environment / A. Breda, T Parreira, E. M. Rocha / 239 \\ 18. An Educational Environment Based on Ontology / K. Sugita, T. Goto, T. Yaku, K. Tsuchida / 255 \\ 19. Art and Mathematics / M. Francaviglia, M. G. Lorenzi, P. Pantano / 265 \\ Appendix A. List of C2C Past Talks / 279 \\ Appendix B. Guidelines for Managing a Distributed Seminar / 281 \\ Appendix C. Curriculum Guideline and Mathtext Example / 295 \\ Bibliography / 299 \\ List of URLs / 313 \\ Contributors / 319", } @Book{Gold:2008:POD, editor = "Bonnie Gold and Roger A. Simons", booktitle = "Proof and Other Dilemmas: Mathematics and Philosophy", title = "Proof and Other Dilemmas: Mathematics and Philosophy", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "xxxii + 346", year = "2008", ISBN = "0-88385-567-4", ISBN-13 = "978-0-88385-567-6", LCCN = "QA8.4 .P755 2008", bibdate = "Sat Aug 13 16:35:52 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Spectrum series", URL = "http://www.loc.gov/catdir/enhancements/fy0916/2008922718-b.html; http://www.loc.gov/catdir/enhancements/fy0916/2008922718-d.html; http://www.loc.gov/catdir/enhancements/fy0916/2008922718-t.html", acknowledgement = ack-nhfb, subject = "Mathematics; Philosophy", tableofcontents = "Proof and how it is changing \\ Proof: its nature and significance / Michael Detlefsen \\ Implications of experimental mathematics for the philosophy of mathematics / Jonathan Borwein \\ On the roles of proof in mathematics / Joseph Auslander \\ Social constructivist views of mathematics \\ When is a problem solved? / Philip J. Davis \\ Mathematical practice as a scientific problem / Reuben Hersh \\ Mathematical domains: social constructs? / Julian Cole \\ The nature of mathematical objects and mathematical knowledge \\ The existence of mathematical objects / Charles Chihara \\ Mathematical objects / Stewart Shapiro \\ Mathematical platonism / Mark Balaguer \\ The nature of mathematical objects / \cents{}ystein Linnebo \\ When is one thing equal to some other thing? / Barry Mazur \\ The nature of mathematics and its applications \\ Extreme science: mathematics as the science of relations as such / R. S. D. Thomas \\ What is mathematics? A pedagogical answer to a philosophical question / Guershon Harel \\ What will count as mathematics in 2100? / Keith Devlin \\ Mathematics applied: the case of addition / Mark Steiner \\ Probability: a philosophical overview / Alan H{\'a}jek", } @Proceedings{IEEE:2008:HIS, editor = "{IEEE}", booktitle = "{HPCS 2006: [20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment]; 20th anniversary of HPCS; hosted by ACEnet at Memorial University of Newfoundland, [St. John's], May 14th--17th 2006; [co-hosted with OSCAR 2006]}", title = "{HPCS 2006: [20th International Symposium on High-Performance Computing in an Advanced Collaborative Environment]; 20th anniversary of HPCS; hosted by ACEnet at Memorial University of Newfoundland, [St. John's], May 14th--17th 2006; [co-hosted with OSCAR 2006]}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "284", year = "2008", ISBN = "0-7695-2582-2, 0-7695-3200-4", ISBN-13 = "978-0-7695-2582-2, 978-0-7695-3200-4", LCCN = "QA76.88 .I5858 2006", bibdate = "Sat Aug 13 17:18:20 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", acknowledgement = ack-nhfb, } @Proceedings{Lin:2009:PPM, editor = "Fou-lai Lin", booktitle = "{Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings = shu xue zheng ming yu lun zheng de jiao yu xue}", title = "{Proof and Proving in Mathematics Education: ICMI Study 19 Conference Proceedings = shu xue zheng ming yu lun zheng de jiao yu xue}", publisher = "Department of Mathematics, National Taiwan Normal University", address = "Taipei, Taiwan", pages = "????", year = "2009", ISBN = "986-01-8210-8", ISBN-13 = "978-986-01-8210-1", LCCN = "QA109; QA11.A1; QA9.54", bibdate = "Tue Jan 3 08:26:06 MST 2017", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", note = "2 volumes", acknowledgement = ack-nhfb, meetingname = "ICMI Study 19: Proof and Proving in Mathematics Education (2009 Taipei, Taiwan)", remark = "Held on May 10-15, 2009 at National Taiwan Normal University, Taipei, Taiwan.", subject = "Mathematics; Study and teaching; Congresses; Proof theory; Study and teaching.; Proof theory.", } @Book{Bauschke:2011:FPA, editor = "Heinz H. Bauschke and Regina S. Burachik and Patrick Louis Combettes and Veit Elser and D. Russell Luke and Henry Wolkowicz", booktitle = "Fixed-point algorithms for inverse problems in science and engineering", title = "Fixed-point algorithms for inverse problems in science and engineering", volume = "49", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 402", year = "2011", DOI = "https://doi.org/10.1007/978-1-4419-9569-8", ISBN = "1-4419-9568-4, 1-4419-9569-2 (e-book)", ISBN-13 = "978-1-4419-9568-1, 978-1-4419-9569-8 (e-book)", ISSN = "1931-6828 (print), 1931-6836 (electronic)", ISSN-L = "1931-6828", LCCN = "QA378.5 .F59 2011", bibdate = "Sat Aug 13 15:57:02 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; z3950.loc.gov:7090/Voyager", series = "Springer optimization and its applications", URL = "http://0-dx.doi.org.fama.us.es/10.1007/978-1-4419-9569-8", acknowledgement = ack-nhfb, subject = "Inverse problems (Differential equations); Fixed point theory", tableofcontents = "Front Matter / i--xi \\ Chebyshev Sets, Klee Sets, and Chebyshev Centers with Respect to Bregman Distances: Recent Results and Open Problems / Heinz H. Bauschke, Mason S. Macklem, Xianfu Wang / 1--21 \\ Self-Dual Smooth Approximations of Convex Functions via the Proximal Average / Heinz H. Bauschke, Sarah M. Moffat, Xianfu Wang / 23--32 \\ A Linearly Convergent Algorithm for Solving a Class of Nonconvex\slash Affine Feasibility Problems / Amir Beck, Marc Teboulle / 33--48 \\ The Newton Bracketing Method for Convex Minimization: Convergence Analysis / Adi Ben-Israel, Yuri Levin / 49--64 \\ Entropic Regularization of the $ \ell_0 $ Function / Jonathan M. Borwein, D. Russell Luke / 65--92 \\ The Douglas--Rachford Algorithm in the Absence of Convexity / Jonathan M. Borwein, Brailey Sims / 93--109 \\ A Comparison of Some Recent Regularity Conditions for Fenchel Duality / Radu Ioan Bo, Ern{\"o} Robert Csetnek / 111--130 \\ Non-Local Functionals for Imaging / J{\'e}r{\^o}me Boulanger, Peter Elbau, Carsten Pontow, Otmar Scherzer / 131--154 \\ Opial-Type Theorems and the Common Fixed Point Problem / Andrzej Cegielski, Yair Censor / 155--183 \\ Proximal Splitting Methods in Signal Processing / Patrick L. Combettes, Jean-Christophe Pesquet / 185--212 \\ Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey / Frank Deutsch, Hein Hundal / 213--242 \\ Graph-Matrix Calculus for Computational Convex Analysis / Bryan Gardiner, Yves Lucet / 243--259 \\ Identifying Active Manifolds in Regularization Problems / W. L. Hare / 261--271 \\ Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds / Genaro L{\'o}pez, Victoria Mart{\'\i}n-M{\'a}rquez / 273--299 \\ Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces / Simeon Reich, Shoham Sabach / 301--316 \\ Regularization Procedures for Monotone Operators: Recent Advances / J. P. Revalski / 317--344 \\ Minimizing the Moreau Envelope of Nonsmooth Convex Functions over the Fixed Point Set of Certain Quasi-Nonexpansive Mappings / Isao Yamada, Masahiro Yukawa, Masao Yamagishi / 345--390 \\ The Br{\'e}zis--Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order $n$ / Liangjin Yao / 391--402", } @Book{Hanna:2012:PPM, editor = "Gila Hanna and Michael {de Villiers}", booktitle = "Proof and proving in mathematics education: the {19th} {ICMI} study", title = "Proof and proving in mathematics education: the {19th} {ICMI} study", volume = "15", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 475", year = "2012", DOI = "https://doi.org/10.1007/978-94-007-2129-6", ISBN = "94-007-2128-5, 94-007-2129-3 (e-book)", ISBN-13 = "978-94-007-2128-9, 978-94-007-2129-6 (e-book)", LCCN = "QA9.54 .P766 2012", bibdate = "Sat Aug 13 15:43:33 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "New ICMI study series", URL = "http://www.springerlink.com/content/978-94-007-2129-6", acknowledgement = ack-nhfb, remark = "Humanities, Social Science and Law (Springer-11648).", subject = "Education; Mathematics", tableofcontents = "Front Matter / i--xii \\ Aspects of Proof in Mathematics Education / Gila Hanna, Michael de Villiers / 1--10 \\ Proof and Cognition \\ Front Matter / 11--11 \\ Proof and cognition \\ Cognitive Development of Proof / David Tall, Oleksiy Yevdokimov, Boris Koichu, Walter Whiteley, Margo Kondratieva, Ying-Hao Cheng / 13--49 \\ Theorems as Constructive Visions / Giuseppe Longo / 51--66 \\ Experimentation: Challenges and Opportunities \\ Front Matter / 67--67 \\ Experimentation: Challenges and opportunities \\ Exploratory Experimentation: Digitally-Assisted Discovery and Proof / Jonathan Michael Borwein / 69--96 \\ Experimental Approaches to Theoretical Thinking: Artefacts and Proofs / Ferdinando Arzarello, Maria Giuseppina Bartolini Bussi, Allen Yuk Lun Leung, Maria Alessandra Mariotti, Ian Stevenson / 97--143 \\ Historical and Educational Perspectives of Proof \\ Front Matter / 145--145 \\ Historical and educational perspectives of proof \\ Why Proof? A Historian's Perspective / Judith V. Grabiner / 147--167 \\ Conceptions of Proof --- In Research and Teaching / Richard Cabassut, AnnaMarie Conner, Filyet Asl{\i} {\.I}{\c{s}}{\c{c}}imen, Fulvia Furinghetti, Hans Niels Jahnke, Francesca Morselli / 169--190 \\ Forms of Proof and Proving in the Classroom / Tommy Dreyfus, Elena Nardi, Roza Leikin / 191--213 \\ The Need for Proof and Proving: Mathematical and Pedagogical Perspectives / Orit Zaslavsky, Susan D. Nickerson, Andreas J. Stylianides, Ivy Kidron, Greisy Winicki-Landman / 215--229 \\ Contemporary Proofs for Mathematics Education / Frank Quinn / 231--257 \\ Proof in the School Curriculum \\ Front Matter / 259--259 \\ Proof in the school curriculum \\ Proof, Proving, and Teacher-Student Interaction: Theories and Contexts / Keith Jones, Patricio Herbst / 261--277 \\ From Exploration to Proof Production / Feng-Jui Hsieh, Wang-Shian Horng, Haw-Yaw Shy / 279--303 \\ Principles of Task Design for Conjecturing and Proving / Fou-Lai Lin, Kai-Lin Yang, Kyeong-Hwa Lee, Micha{\l} Tabach, Gabriel Stylianides / 305--325 \\ Teachers' Professional Learning of Teaching Proof and Proving / Fou-Lai Lin, Kai-Lin Yang, Jane-Jane Lo, Pessia Tsamir, Dina Tirosh, Gabriel Stylianides / 327--346 \\ Argumentation and Transition to Tertiary Level \\ Front Matter / 347--347", } @Book{Bailey:2013:CAM, editor = "David H. Bailey and Heinz H. Bauschke and Peter Borwein and Frank Garvan and Michel Th{\'e}ra and Jon D. Vanderwerff and Henry Wolkowicz", booktitle = "Computational and analytical mathematics: in honor of {Jonathan Borwein}'s 60th Birthday", title = "Computational and analytical mathematics: in honor of {Jonathan Borwein}'s 60th Birthday", volume = "50", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 701", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-7621-4", ISBN = "1-4614-7620-8, 1-4614-7621-6 (e-book)", ISBN-13 = "978-1-4614-7620-7, 978-1-4614-7621-4 (e-book)", ISSN = "2194-1009", LCCN = "QA241", bibdate = "Thu Aug 11 13:32:34 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wolkowicz-henry.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib", series = "Springer proceedings in mathematics and statistics", URL = "http://public.eblib.com/choice/publicfullrecord.aspx?p=1466708; http://swb.eblib.com/patron/FullRecord.aspx?p=1466708; http://www.myilibrary.com?id=547562", abstract = "The research of Jonathan Borwein has had a profound impact on optimization, functional analysis, operations research, mathematical programming, number theory, and experimental mathematics. Having authored more than a dozen books and more than 300 publications, Dr. Borwein is one of the most productive Canadian mathematicians ever. His research spans pure, applied, and computational mathematics as well as high performance computing, and continues to have an enormous impact: MathSciNet lists more than 2500 citations by more than 1250 authors, and Borwein is one of the 250 most cited mathematicians of the period 1980--1999. He has served the Canadian Mathematics Community through his presidency (2000--2002) as well as his 15 years of editing the CMS book series. Jonathan Borwein's vision and initiative have been crucial in initiating and developing several institutions that provide support for researchers with a wide range of scientific interests. A few notable examples include the Centre for Experimental and Constructive Mathematics and the IRMACS Centre at Simon Fraser University, the Dalhousie Distributed Research Institute at Dalhousie University, the Western Canada Research Grid, and the Centre for Computer Assisted Research Mathematics and its Applications, University of Newcastle. The workshops that were held over the years in Dr. Borwein's honor attracted high-caliber scientists from a wide range of mathematical fields. This present volume is an outgrowth of the workshop entitled Computational and Analytical Mathematics, held in May 2011 in celebration of Jonathan Borwein's 60th Birthday. The collection contains various state-of-the-art research manuscripts and surveys presenting contributions that have risen from the conference, and is an excellent opportunity to survey state-of-the-art research and discuss promising research directions and approaches.", acknowledgement = ack-nhfb, subject = "Number theory; Mathematical analysis; Mathematics; Functional Analysis; Operator Theory; Operations Research, Management Science; Algebra; Intermediate.; Mathematical analysis.; Number theory.", tableofcontents = "Normal Numbers and Pseudorandom Generators / David H. Bailey and Jonathan M. Borwein / 1--18 \\ New Demiclosedness Principles for (Firmly) Nonexpansive Operators / Heinz H. Bauschke / 19--28 \\ Champernowne's Number, Strong Normality, and the X Chromosome / Adrian Belshaw and Peter B. Borwein / 29--44 \\ Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems / Henri Bonnel and Jacqueline Morgan / 45--78 \\ Monotone Operators Without Enlargements / Jonathan M. Borwein and Regina S. Burachik / 79--103 \\ A Br{\o}ndsted--Rockafellar Theorem for Diagonal Subdifferential Operators / Radu Ioan Bo{\c{t}} and Ern{\"o} Robert Csetnek / 105--112 \\ A $q$-Analog of Euler's Reduction Formula for the Double Zeta Function / David M. Bradley and Xia Zhou / 113--126 \\ Fast Computation of Bernoulli, Tangent and Secant Numbers / Richard P. Brent and David Harvey / 127--142 \\ Monotone Operator Methods for Nash Equilibria in Non-potential Games / Luis M. Brice{\"a}no-Arias and Patrick L. Combettes / 143--159 \\ Compactness, Optimality, and Risk / B. Cascales, J. Orihuela and M. Ruiz Gal{\'a}n / 161--218 \\ Logarithmic and Complex Constant Term Identities / Tom Chappell, Alain Lascoux and S. Ole Warnaar / 219--250\\ Preprocessing and Regularization for Degenerate Semidefinite Programs / Yuen-Lam Cheung, Simon Schurr and Henry Wolkowicz / 251--303 \\ The Largest Roots of the Mandelbrot Polynomials / Robert M. Corless and Piers W. Lawrence / 305--324 \\ On the Fractal Distribution of Brain Synapses / Richard Crandall / 325--348 \\ Visible Points in Convex Sets and Best Approximation / Frank Deutsch, Hein Hundal and Ludmil Zikatanov / 349--364 \\ On Derivative Criteria for Metric Regularity / Asen L. Dontchev and H{\'e}l{\`e}ne Frankowska / 365--374 \\ Five Classes of Monotone Linear Relations and Operators / Mclean R. Edwards / 375--400 \\ Upper Semicontinuity of Duality and Preduality Mappings / J. R. Giles / 401--410 \\ Convexity and Variational Analysis / A. D. Ioffe / 411--444 \\ Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems / P. S. Kenderov and J. P. Revalski / 445--453 \\ Legendre Functions Whose Gradients Map Convex Sets to Convex Sets / Alexander Knecht and Jon Vanderwerff / 455--462\\ On the Convergence of Iteration Processes for Semigroups of Nonlinear Mappings in Banach Spaces / W. M. Kozlowski and Brailey Sims / 463--484 \\ Techniques and Open Questions in Computational Convex Analysis / Yves Lucet / 485--500 \\ Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators / Victoria Mart{\'i}n-M{\'a}rquez and Simeon Reich / 501--520 \\ Primal Lower Nice Functions and Their Moreau Envelopes / Marc Mazade and Lionel Thibault / 521--553 \\ Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values / Dominikus Noll / 555--592 \\ Convergence of Linesearch and Trust-Region Methods Using the Kurdyka--{\L}ojasiewicz Inequality / Dominikus Noll and Aude Rondepierre / 593--611 \\ Strong Duality in Conic Linear Programming: Facial Reduction and Extended Duals / G{\'a}bor Pataki / 613--634 \\ Towards a New Era in Subdifferential Analysis? / Jean-Paul Penot /635--665 \\ Modular Equations and Lattice Sums / Mathew Rogers and Boonrod Yuttanan / 667--680 \\ An Epigraph-Based Approach to Sensitivity Analysis in Set-Valued Optimization / Douglas E. Ward and Stephen E. Wright / 681--701", } @Proceedings{Bean:2013:MDM, editor = "Nigel Bean", booktitle = "{Modelling for decision making in ecological systems [\ldots{} a session \ldots{} at the MODSIM 2011 Conference in Perth, Australia, 12--16 December 2011]}", title = "{Modelling for decision making in ecological systems [\ldots{} a session \ldots{} at the MODSIM 2011 Conference in Perth, Australia, 12--16 December 2011]}", volume = "249.2013", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "190", year = "2013", LCCN = "????", bibdate = "Sat Aug 13 15:52:36 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Ecological modelling Special issue", acknowledgement = ack-nhfb, } @Proceedings{Borwein:2013:NTR, editor = "Jonathan M. Borwein and Igor E. Shparlinski and Wadim Zudilin", booktitle = "{Number theory and related fields: in memory of Alf van der Poorten}", title = "{Number theory and related fields: in memory of Alf van der Poorten}", volume = "43", publisher = pub-SV, address = pub-SV:adr, pages = "x + 395", year = "2013", DOI = "https://doi.org/10.1007/978-1-4614-6642-0", ISBN = "1-4614-6641-5", ISBN-13 = "978-1-4614-6641-3", ISSN = "2194-1009", LCCN = "QA241 .N86755 2013", bibdate = "Thu Aug 11 17:00:24 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Springer proceedings in mathematics and statistics", URL = "http://link.springer.com/book/10.1007/978-1-4614-6642-0; http://www.loc.gov/catdir/enhancements/fy1404/2013936399-d.html; http://www.loc.gov/catdir/enhancements/fy1404/2013936399-t.html", abstract = "Collects contributions based on the proceedings of ``International Number Theory Conference in Memory of Alf van der Poorten.'' These proceedings will presents high quality research articles and comprehensive surveys from distinguished mathematicians in order to promote number theory and related topics. The subjects of these articles and surveys are inspired by Alf van der Poorten's wide area of research interests, including number theory, continued fractions, elliptic curves and more. Number Theory and Related Fields collects contributions based on the proceedings of the ``International Number Theory Conference in Memory of Alf van der Poorten,'' hosted by CARMA and held March 12--16, 2012, at the University of Newcastle, Australia. The purpose of the conference was to commemorate the research and influence of Alf van der Poorten in number theory and in general mathematics and presented an exciting venue for promoting number-theoretic research and graduate study in Australia. Comprehensive accounts of recent achievements in theoretical and computational number theory and its applications to cryptography and theoretical computer science were also paramount to the conference. The volume begins with a detailed academic appreciation of van der Poorten's life and work, and includes research articles written by some of the most distinguished mathematicians in the field of number theory. Contributions also include related topics that focus on the various research interests of van der Poorten, such as continued fractions and elliptic curves. Researchers in number theory and its applications will find this Proceedings of great interest.", acknowledgement = ack-nhfb, remark = "The International Number Theory Conference in memory of Alf van der Poorten was held in Newcastle, NSW, Australia, 12--16 March 2012.", subject = "Number theory; Congresses; Van Der Poorten, A. J", tableofcontents = "Life and mathematics of Alfred Jacobus van der Poorten (1942--2010) / David Hunt \\ Ramanujan--Sato-like series / Gert Ahlmkvist and Jes{\'u}s Guillera \\ On the sign of the real part of the Riemann zeta function / Juan Arias de Reyna, Richard P. Brent and Jan van de Lune \\ Additive combinatorics: with a view towards computer science and cryptography --- an exposition / Khodakhast Bibak \\ Transcendence of stammering continued fractions / Yann Bugeaud \\ Algebraic independence of infinite products and their derivatives / Peter Bundschuh \\ Small representations by indefinite ternary quadratic forms / J. B. Friedlander and H. Iwaniec \\ Congruences for Andrews' spt-function modulo 32760 and extension of Atkin's Hecke-type partition congruences / F. G. Garvan \\ Continued fractions and dedekind sums for function fields / Yoshinori Hamahata \\ Burgess's bounds for character sums / D. R. Heath-Brown \\ Structured Hadamard conjecture / Ilias S. Kotsireas \\ Families of cubic thue equations with effective bounds for the solutions / Claude Levesque and Michel Waldschmidt \\ Consequences of a factorization theorem for generalized exponential polynominals with infinitely many integer zeroes / Ouamporn Phuksuwan and Vichian Laohakosol \\ On balanced subgroups of the multiplicative group / Carl Pomerance and Douglas Ulmer \\ Some extensions of the Lucas functions / E. L. Roettger, H. C. Williams, and R. K. Guy \\ The impact of number theory and computer-aided mathematics on solving the Hadamard matrix conjecture / Jennifer Seberry \\ Description of generalized continued fractions by finite automata / Jeffrey Shallit \\ On prime factors of terms of linear recurrence sequences / C. L. Stewart \\ Some notes on weighted sum formulae for double zeta values / James Wan \\ Period(d)ness of $L$-values / Wadim Zudilin", } @Book{Tressider:2013:EDV, author = "Virginia Tressider", booktitle = "The explainer: from d{\'e}j{\`a} vu to why the sky is blue, and other conundrums", title = "The explainer: from d{\'e}j{\`a} vu to why the sky is blue, and other conundrums", publisher = "CSIRO Publishing", address = "Collingwood, VI, Australia", pages = "xiv + 334", year = "2013", ISBN = "1-4863-0050-2 (paperback)", ISBN-13 = "978-1-4863-0050-1 (paperback)", LCCN = "", bibdate = "Sat Aug 13 15:17:39 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://www.publish.csiro.au/pid/7165.htm", abstract = "Ever wondered how vaccines work, why whales strand themselves or if luck exists? The Explainer: From D{\'e}j{\`a} Vu to Why the Sky Is Blue, and Other Conundrums is a collection of the best of The Conversation's ``The Explainer'' and ``Monday's Medical Myths'' articles. The book answers questions on everyone's mind about a diverse range of topics, abstract concepts, and popular and hard core science. Sections include: animals and agriculture, body, climate and energy, medical myths, mind and brain, research and technology, and more. Expert authors combine facts, analysis, new ideas and enthusiasm to make often challenging topics highly readable. This book is for the curious, those with a thirst for answers, and those with a fascination of how phenomena, new technologies and current issues in our daily lives work.", acknowledgement = ack-nhfb, shorttableofcontents = "Animals and agriculture \\ Body \\ Climate and energy \\ Ever wondered? \\ Medical myths \\ Mind and brain \\ Research and technology \\ Space, time and matter", subject = "curiosities and wonders; questions and answers", tableofcontents = "Cover \\ Foreword 1 \\ Foreword 2 \\ Acknowledgements \\ Contents \\ Animals and agriculture \\ How are vaccines used in Australian agriculture? \\ What do we know about why whales strand themselves? \\ What is biodiversity and why does it matter? \\ Why is Hendra virus so dangerous? \\ Body \\ Can you pay off your `sleep debt'? \\ Do we need to follow medication use-by dates? \\ Overweight, obese, BMI - what does it all mean? \\ What are antibiotics? \\ What are migraines? \\ What are trans fats? \\ What is a gene? \\ What is cancer? \\ What is cerebral palsy? \\ What is colour blindness? \\ What is deep vein thrombosis?. What is dengue fever?What is herpes? \\ What is stuttering? \\ Climate and energy \\ Climate modes and drought \\ Storing renewable energy \\ What are biofuels? \\ What is photovoltaic solar energy? \\ What we know and don't know about climate change \\ Ever wondered? \\ Does luck exist? \\ Why hypothesis and significance tests ask the wrong questions \\ Why is the sky blue? \\ Medical myths \\ Drink eight glasses of water a day \\ We only use 10 per cent of our brain \\ Alcohol kills brain cells \\ You can't mix antibiotics with alcohol \\ A diet high in antioxidants slows the ageing process. Take an aspirin a day after you turn 50 \\ Cutting carbs is the best way to lose weight \\ Eating carrots will improve your eyesight \\ Childhood vaccinations are dangerous \\ Chocolate causes acne \\ Chocolate is an aphrodisiac \\ Cranberry juice prevents bladder infections \\ Take a vitamin a day for better health \\ Dairy products exacerbate asthma \\ Deodorants cause breast cancer \\ Detox diets cleanse your body \\ Reading in dim light ruins your eyesight \\ Eat for two during pregnancy \\ You need eight hours of continuous sleep each night \\ We're not getting enough sun \\ Fish oil is good for heart health. Fruit juice is healthier than soft drink \\ Hospitals get busier on full moons \\ Cracking your knuckles causes arthritis \\ Leave leftovers to cool before refrigerating \\ Low-fat diets are better for weight loss \\ Men also go through menopause \\ The MMR vaccine causes autism \\ MSG is a dangerous toxin \\ Natural cancer therapies can't harm you \\ No pain, no gain \\ Organic food is more nutritious \\ Osteoarthritis can be `cured' \\ Peanuts in pregnancy cause allergies \\ The placebo effect only works on the gullible \\ Don't worry, kids will grow out of their `puppy fat' \\ Reading from a screen harms your eyes \\ Men think about sex every seven seconds \\ SPF50+ sunscreen almost doubles the protection of SPF30+ \\ Stress can turn hair grey overnight \\ Sugar makes kids hyperactive \\ Wearing tight undies will make you infertile \\ You can selectively train your left or right brain \\ Vitamin C prevents colds \\ Wait 30 minutes after eating before you swim \\ Mind and brain \\ The brain \\ What are phobias? \\ What is d{\'e}j{\`a} vu and why does it happen? \\ What is depression? \\ What is dreaming? \\ What is forgetting? \\ What is post-traumatic stress disorder? \\ Research and technology \\ Nanotechnology and you \\ Quadruple-helix DNA. The 2012 Nobel Prize in Chemistry \\ What are G-protein-coupled receptors?. A collection of The Conversation's `Monday's Medical Myths' and 'The Explainer' articles, answering the questions on everyone's mind.", } @Proceedings{Hong:2014:MSI, editor = "Hoon Hong and Chee-Keng Yap", booktitle = "{Mathematical Software --- ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014. Proceedings}", title = "{Mathematical Software --- ICMS 2014: 4th International Conference, Seoul, South Korea, August 5--9, 2014. Proceedings}", volume = "8592", publisher = pub-SV, address = pub-SV:adr, pages = "xxxi + 735", year = "2014", DOI = "https://doi.org/10.1007/978-3-662-44199-2", ISBN = "3-662-44198-5, 3-662-44199-3 (e-book)", ISBN-13 = "978-3-662-44198-5, 978-3-662-44199-2 (e-book)", LCCN = "QA76.95", bibdate = "Sat Aug 13 13:49:23 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Lecture Notes in Computer Science", abstract = "This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Gr{\"o}bner; triangular; parametric; interfaces and general.", acknowledgement = ack-nhfb, subject = "Mathematik.; Software.", tableofcontents = "Experimental Computation and Visual Theorems \\ Soft Math Math Soft \\ Flyspecking Flyspeck \\ Symbolic Computing Package for Mathematica for Versatile Manipulation of Mathematical Expressions \\ Representing, Archiving, and Searching the Space of Mathematical Knowledge \\ Early Examples of Software in Mathematical Knowledge Management \\ Discourse-Level Parallel Markup and Meaning Adoption in Flexiformal Theory Graphs \\ Complexity Analysis of the Bivariate Buchberger Algorithm in Theorema \\ Theorema 2.0: A System for Mathematical Theory Exploration \\ New Approaches in Black Box Group Theory \\ A GAP Package for Computing with Real Semisimple Lie Algebras \\ Bacterial Genomics and Computational Group Theory: The BioGAP Package for GAP \\ SgpDec: Cascade (De)Compositions of Finite Transformation Semigroups and Permutation Groups \\ Approximating Generators for Integral Arithmetic Groups \\ Software for Groups: Theory and Practice \\ Computation of Genus 0 Belyi Functions \\ On Computation of the First Baues-Wirsching Cohomology of a Freely-Generated Small Category \\ Codes over a Non Chain Ring with Some Applications \\ On the Weight Enumerators of the Projections of the 2-adic Golay Code of Length 24 to Z2e \\ Computer Based Reconstruction of Binary Extremal Self-dual Codes of Length 32 \\ Magma Implementation of Decoding Algorithms for General Algebraic Geometry Codes \\ Reversible Codes and Applications to DNA \\ javaPlex: A Research Software Package for Persistent (Co)Homology \\ PHAT \\ Persistent Homology Algorithms Toolbox \\ Computing Persistence Modules on Commutative Ladders of Finite Type \\ Heuristics for Sphere Recognition \\ CAPD::RedHom v2 \\ Homology Software Based on Reduction Algorithms \\ The Gudhi Library: Simplicial Complexes and Persistent Homology \\ Bertini real: Software for One- and Two-Dimensional Real Algebraic Sets \\ Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods \\ Geometry CGAL \\ Reliable Geometric Computing for Academia and Industry \\ Implementing the L[infinity] Segment Voronoi Diagram in CGAL and Applying in VLSI Pattern Analysis \\ BULL! \\ The Molecular Geometry Engine Based on Voronoi Diagram, Quasi-Triangulation, and Beta-Complex \\ Integrating Circumradius and Area Formulae for Cyclic Pentagons \\ Computer Aided Geometry \\ The Sustainability of Digital Educational Resources \\ A Touch-Operation-Based Dynamic Geometry System: Design and Implementation \\ OpenGeo: An Open Geometric Knowledge Base \\ On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities \\ Robustly and Efficiently Computing Algebraic Curves and Surfaces \\ Computing the Orthogonal Projection of Rational Curves onto Rational Parameterized Surface by Symbolic Methods \\ Isotopic Approximation of Algebraic Curves \\ Isotopic Arrangement of Simple Curves: An Exact Numerical Approach Based on Subdivision \\ Real Quantifier Elimination in the RegularChains Library \\ Software for Quantifier Elimination in Propositional Logic \\ Quantifier Elimination for Linear Modular Constraints \\ Skolemization Modulo Theories \\ Incremental QBF Solving by DepQBF \\ NLCertify: A Tool for Formal Nonlinear Optimization \\ Developing Linear Algebra Packages on Risa/Asir for Eigenproblems \\ Mathematical Software for Modified Bessel Functions \\ BetaSCP2: A Program for the Optimal Prediction of Side-Chains in Proteins \\ Computation of an Improved Lower Bound to Giuga's Primality Conjecture \\ An Extension and Efficient Calculation of the Horner's Rule for Matrices \\ What Is New in CoCoA? \\ Maximizing Likelihood Function for Parameter Estimation in Point Clouds via Gr{\"o}bner Basis \\ Gr{\"o}bner Basis in Geodesy and Geoinformatics \\ Gr{\"o}bner Bases in Theorema \\ Effective Computation of Radical of Ideals and Its Application to Invariant Theory \\ Generic and Parallel Gr{\"o}bner Bases in JAS \\ Application of Gr{\"o}bner Basis Methodology to Nonlinear Mechanics Problems \\ Software for Discussing Parametric Polynomial Systems: The Gr{\"o}bner Cover \\ An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology \\ Verification of Gr{\"o}bner Basis Candidates \\ Cylindrical Algebraic Decomposition in the RegularChains Library \\ Hierarchical Comprehensive Triangular Decomposition \\ A Package for Parametric Matrix Computations \\ Choosing a Variable Ordering for Truth-Table Invariant Cylindrical Algebraic Decomposition by Incremental Triangular Decomposition \\ Using the Regular Chains Library to Build Cylindrical Algebraic Decompositions by Projecting and Lifting \\ An Improvement of Rosenfeld-Gr{\"o}bner Algorithm \\ Doing Algebraic Geometry with the RegularChains Library \\ On Multivariate Birkhoff Rational Interpolation \\ Computing Moore-Penrose Inverses of Ore Polynomial Matrices \\ Software Using the Gr{\"o}bner Cover for Geometrical Loci Computation and Classification \\ Using Maple's RegularChains Library to Automatically Classify Plane Geometric Loci \\ Solving Parametric Polynomial Systems by RealComprehensiveTriangularize \\ QE Software Based on Comprehensive Gr{\"o}bner Systems \\ SyNRAC: A Tolbox for Solving Real Algebraic Constraints.-An Algorithm for Computing Tjurina Stratifications of [mu]-Constant Deformations by Using Local Cohomology Classes with Parameters \\ An Implementation Method of Boolean Gr{\"o}bner Bases and Comprehensive Boolean Gr{\"o}bner Bases on General Computer Algebra Systems \\ A Method to Determine if Two Parametric Polynomial Systems Are Equal \\ An Implementation Method of a CAS with a Handwriting Interface on Tablet Devices \\ New Way of Explanation of the Stochastic Interpretation of Wave Functions and Its Teaching Materials Using KETpic \\ IFSGen4LATEX: Interactive Graphical User Interface For Generation and Visualization of Iterated Function Systems in LATEX \\ GNU TEXMACS Towards a Scientific Office Suite \\ Computer Software Program for Representation and Visualization of Free-Form Curves through Bio-inspired Optimization Techniques \\ On Some Attempts to Verify the Effect of Using High-Quality Graphics in Mathematics Education \\ Math Web Search Interfaces and the Generation Gap of Mathematicians \\ Practice with Computer Algebra Systems in Mathematics Education and Teacher Training Courses \\ Development of Visual Aid Materials in Teaching the Bivariate Normal Distributions \\ Creating Interactive Graphics for Mathematics Education Utilizing KETpic \\ A Tablet-Compatible Web-Interface for Mathematical Collaboration \\ Development and Evaluation of a Web-Based Drill System to Master Basic Math Formulae Using a New Interactive Math Input Method \\ Generating Data of Mathematical Figures for 3D Printers with KETpic and Educational Impact of the Printed Models \\ A Touch-Based Mathematical Expression Editor \\ Establishment of KETpic Programming Styles for Drawing \\ Integration of Libnormaliz in CoCoALib and CoCoA 5 \\ Elements of Design for Containers and Solutions in the LinBox Library \\ Recent Developments in Normaliz \\ The Basic Polynomial Algebra Subprograms \\ Function Interval Arithmetic \\ Generating Optimized Sparse Matrix Vector Product over Finite Fields \\ swMATH \\ An Information Service for Mathematical Software \\ MathLibre: Modifiable Desktop Environment for Mathematics \\ Software Packages for Holonomic Gradient Method \\ Metalibm: A Mathematical Functions Code Generator \\ From Calculus to Algorithms without Errors \\ Dense Arithmetic over Finite Fields with the CUMODP Library", } @Book{Sidoli:2014:ATB, editor = "Nathan Sidoli and Glen {Van Brummelen}", booktitle = "From {Alexandria}, through {Baghdad}: surveys and studies in the {Ancient Greek} and {Medieval Islamic} mathematical sciences in honor of {J. L. Berggren}", title = "From {Alexandria}, Through {Baghdad}: Surveys and Studies in the {Ancient Greek} and {Medieval Islamic} Mathematical Sciences in Honor of {J. L. Berggren}", publisher = pub-SV, address = pub-SV:adr, pages = "xv + 583", year = "2014", DOI = "https://doi.org/10.1007/978-3-642-36736-6", ISBN = "3-642-36735-6 (hardcover), 3-642-36736-4 (e-book)", ISBN-13 = "978-3-642-36735-9 (hardcover), 978-3-642-36736-6 (e-book)", LCCN = "QA21 .F76 2014", bibdate = "Sat Aug 13 15:03:46 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/tex/bib/pi.bib", series = "SpringerLink: B{\"u}cher", URL = "http://scans.hebis.de/HEBCGI/show.pl?33313183_aub.html; http://scans.hebis.de/HEBCGI/show.pl?33313183_toc.html", abstract = "This book honors the career of historian of mathematics J. L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.", acknowledgement = ack-nhfb, subject = "Mathematics; History of Mathematical Sciences; Mathematics, general; Matematik; historia; Mathematics; History; Mathematics, Greek; Mathematics, Arab; Mathematics / Essays; Mathematics / Pre-Calculus; Mathematics / Reference", tableofcontents = "History of Greek Mathematics \\ Mathematical Reconstructions Out, Textual Studies in \\ Research on Ancient Greek Mathematical Sciences \\ History of Mathematics in the Islamic World \\ Mathematics and Her Sisters in Medieval Islam \\ A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011 \\ The Life of Pi: From Archimedes to ENIAC and Beyond \\ Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics \\ Some Greek Sundial Meridians \\ An Archimedean Proof of Heron's Formula for the Area of a Triangle \\ Reading the Lost Folia of the Archimedean Palimpsest \\ Acts of geometrical construction in the Spherics of Theodosios \\ Archimedes Among the Ottomans \\ The `Second' Arabic Translation of Theodosius' Sphaerica \\ More Archimedean than Archimedes: A New Trace of Abu Sahl al-Kuhi's work in Latin \\ Les math{\'e}matiques en Occident musulman \\ Ibn al-Raqqam's al-Zij al-Mustawfi in MS Rabat National Library 2461 \\ An Ottoman astrolabe full of surprises \\ Un alg{\'e}briste arabe: Abu Kamil SuCac ibn Aslam \\ Abu Kamil's Book on Mensuration \\ Hebrew Texts on the Regular Polyhedra \\ A Treatise by Biruni on the Rule of Three and its Variations \\ Safavid Art, Science, and Courtly Education in the Seventeenth Century \\ Translating Playfair's Geometry into Arabic.", tableofcontents-2 = "Appreciation \\ Acknowledgements \\ Contents \\ Part I Surveys \\ History of Greek Mathematics: A Survey of Recent Research [1984] \\ Abstract \\ Methods in Greek Mathematics \\ The Axiomatic Method \\ The Method of Analysis \\ Geometric Algebra \\ The Theory of Proportion \\ Theory of Incommensurables \\ Archimedes \\ Mathematical Methods \\ Conclusions \\ References \\ Mathematical Reconstructions Out, Textual Studies in: 30 Years in the Historiography of Greek Mathematics [1998] \\ History of Greek Mathematics Before and After 1970 \\ The Origins: Who Was the First Mathematician? \\ Mathematical Reconstructions \\ From Mathematical Reconstructions to Textual Studies \\ Algebraic vs. Geometrical Interpretation \\ Pythagoreans, Are They Out? \\ Conclusion \\ References \\ Research on Ancient Greek Mathematical Sciences, \\ Introduction \\ Methods \\ Textual Studies \\ Ancient Texts \\ Medieval Manuscripts \\ The Direct and Indirect Traditions \\ New Editions \\ The Language of Greek Mathematics \\ New Translations \\ Textual Studies on Canonical Authors \\ Euclid \\ Archimedes and the Archimedes Palimpsest \\ Apollonius \\ Diagrams \\ Material Culture \\ Mathematical and Logical Studies \\ Logical and Philosophical Studies of Diagram-Based Reasoning \\ Balanced Reconstruction \\ New Readings \\ Ancient Mathematical Contexts \\ Intellectual and Philosophical Contexts \\ Literary Readings \\ Topics \\ Origins and Early Evidence \\ Late Andent Mathematicians and Commentators \\ Numeracy \\ Greek Combinatorics \\ Computation and Algebra \\ Diophantus \\ Analysis \\ Greek Foundations of Mathematics \\ Constructions \\ The Exact Sdences \\ Conclusion \\ References \\ History of Mathematics in the Islamic World: The Present State of the Art [1985] \\ General Studies \\ Number Theory \\ Arithmetic \\ Algebra \\ Indeterminate Equations \\ Combinatorics \\ Recreational Mathematics \\ Geometry \\ Trigonometry \\ Numerical Mathematics \\ Optics \\ Mathematical Geography \\ Mechanics \\ Conclusions \\ References \\ Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995 [1997] \\ Abstract \\ Al-Khw{\=a}rizm{\=i} and His Times \\ The Islamic Study of Euclid's Works \\ Number Theory and Recreational Mathematics \\ Other Aspects of the Hellenistic Tradition in Medieval Islam \\ Projections of the Sphere in Medieval Islam \\ Cartography and Geometry \\ Optics in Medieval Islam \\ Islamic Spain and Northwest Africa \\ The Problem Of Decline In The Islamic Mathematical Sciences \\ Science and Society in Medieval Islam \\ Mathematical Methods In the Study of Ancient and Medieval Sciences \\ General Surveys \\ Some Conclusions \\ Acknowledgements \\ References \\ A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011 \\ Introduction \\ The Foreign Legacy: Reception, Appropriation, Transformation \\ Regional Influences \\ Geometry \\ Disciplines Allied with Geometry \\ Mathematical Methods in Astronomy and Geography \\ Arithmetic \\ Algebra \\ Concluding Remarks \\ Acknowledgements \\ References \\ Index of Subjects (Survey Papers) \\ Part II Studies", } @Book{Casazza:2015:M, editor = "Peter G. Casazza and Steven G. (Steven George) Krantz and Randi D. Ruden", booktitle = "{I}, mathematician", title = "{I}, mathematician", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "xiii + 273", year = "2015", ISBN = "0-88385-585-2 (print), 1-61444-521-4 (e-book)", ISBN-13 = "978-0-88385-585-0 (print), 978-1-61444-521-0 (e-book)", LCCN = "QA28 .I22 2015", bibdate = "Sat Aug 13 13:43:47 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Spectrum series", abstract = "At the MAA Summer MathFest in 2007, Peter Casazza, Steven Krantz, and Frank Morgan were invited to organize a special session entitled ``The Psychology of the Mathematician.'' The avowed purpose of that event was to discuss what mathematicians think of themselves and what others think of us\ldots{} As a consequence, MAA editor Don Albers invited us to produce a volume inspired by our special session.", acknowledgement = ack-nhfb, subject = "Mathematicians; Biography; Psychology; Miscellanea", tableofcontents = "Who are mathematicians? \\ Mathematicians and mathematics / Michael Aschbacher \\ What are mathematicians really like? \\ Observations of a spouse / Pamela Aschbacher \\ Mathematics: art and science / Michael Atiyah \\ A mathematician's survival guide / Peter G. Casazza \\ We are different / Underwood Dudley \\ The naked lecturer / T. W. K{\"o}rner \\ Through a glass darkly / Steven G. Krantz \\ What's a nice guy like me doing in a place like this? / Alan H. Schoenfeld \\ A mathematician's eye view / Ian Stewart \\ I am a mathematician / V. S. Varadarajan \\ On becoming a mathematician \\ Mathematics and teaching / Hyman Bass \\ Who we are and how we got that way? / Jonathan M. Borwein \\ Social class and mathematical values in the U.S.A. / Roger Cooke \\ The badly taught high school Calculus lesson and the mathematical journey it led me to / Keith Devlin \\ The psychology of being a mathematician / Sol Garfunkel \\ Dynamics of mathematical groups / Jane Hawkins \\ Mathematics, art, civilization / Yuri I. Manin \\ Questions about mathematics / Harold R. Parks \\ A woman mathematician's journey / Mei-Chi Shaw \\ Why I became a mathematician \\ Why I became a mathematician: a personal account / Harold P. Boas \\ Why I became a mathematician? / Aline Bonami \\ Why I am a mathematician / John P. D'Angelo \\ Why I am a mathematician / Robert E. Greene \\ Why I am a mathematician / Jenny Harrison \\ Why I became a mathematician / Rodolfo H. Torres", } @Book{Higham:2015:PCA, editor = "Nicholas J. Higham and Mark R. Dennis and Paul Glendinning and Paul A. Martin and Fadil Santosa and Jared Tanner", booktitle = "The {Princeton} Companion to Applied Mathematics", title = "The {Princeton} Companion to Applied Mathematics", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xvii + 3 + 994 + 16", year = "2015", ISBN = "0-691-15039-7 (hardcover)", ISBN-13 = "978-0-691-15039-0 (hardcover)", LCCN = "QA155 .P75 2015", bibdate = "Wed Sep 9 05:32:49 MDT 2015", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; http://www.math.utah.edu/pub/bibnet/subjects/companion-applied-mathematics.bib; http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib; z3950.loc.gov:7090/Voyager", URL = "http://press.princeton.edu/titles/10592.html", abstract = "This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important questions, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics.", acknowledgement = ack-njh, subject = "Algebra; Mathematics; Mathematical models", tableofcontents = "Preface / ix \\ Contributors / xiii \\ Part I: Introduction to Applied Mathematics \\ I.1 What Is Applied Mathematics? / 1 \\ I.2 The Language of Applied Mathematics / 8 \\ I.3 Methods of Solution / 27 \\ I.4 Algorithms / 40 \\ I.5 Goals of Applied Mathematical Research / 48 \\ I.6 The History of Applied Mathematics / 55 \\ Part II: Concepts \\ II.1 Asymptotics / 81 \\ II.2 Boundary Layer / 82 \\ II.3 Chaos and Ergodicity / 82 \\ II.4 Complex Systems / 83 \\ II.5 Conformal Mapping / 84 \\ II.6 Conservation Laws / 86 \\ II.7 Control / 88 \\ II.8 Convexity / 89 \\ II.9 Dimensional Analysis and Scaling / 90 \\ II.10 The Fast Fourier Transform / 94 \\ II.11 Finite Differences / 95 \\ II.12 The Finite-Element Method / 96 \\ II.13 Floating-Point Arithmetic / 96 \\ II.14 Functions of Matrices / 97 \\ II.15 Function Spaces / 99 \\ II.16 Graph Theory / 101 \\ II.17 Homogenization / 103 \\ II.18 Hybrid Systems / 103 \\ II.19 Integral Transforms and Convolution / 104 \\ II.20 Interval Analysis / 105 \\ II.21 Invariants and Conservation Laws / 106 \\ II.22 The Jordan Canonical Form / 112 \\ II.23 Krylov Subspaces / 113 \\ II.24 The Level Set Method / 114 \\ II.25 Markov Chains / 116 \\ II.26 Model Reduction / 117 \\ II.27 Multiscale Modeling / 119 \\ II.28 Nonlinear Equations and Newton's Method / 120 \\ II.29 Orthogonal Polynomials / 122 \\ II.30 Shocks / 122 \\ II.31 Singularities / 124 \\ II.32 The Singular Value Decomposition / 126 \\ II.33 Tensors and Manifolds / 127 \\ II.34 Uncertainty Quantification / 131 \\ II.35 Variational Principle / 134 \\ II.36 Wave Phenomena / 134 \\ Part III: Equations, Laws, and Functions of Applied Mathematics \\ III.1 Benford's Law / 135 \\ III.2 Bessel Functions / 137 \\ III.3 The Black--Scholes Equation / 137 \\ III.4 The Burgers Equation / 138 \\ III.5 The Cahn--Hilliard Equation / 138 \\ III.6 The Cauchy--Riemann Equations / 139 \\ III.7 The Delta Function and Generalized Functions / 139 \\ III.8 The Diffusion Equation / 142 \\ III.9 The Dirac Equation / 142 \\ III.10 Einstein's Field Equations / 144 \\ III.11 The Euler Equations / 146 \\ III.12 The Euler--Lagrange Equations / 147 \\ III.13 The Gamma Function / 148 \\ III.14 The Ginzburg--Landau Equation / 148 \\ III.15 Hooke's Law / 149 \\ III.16 The Korteweg--de Vries Equation / 150 \\ III.17 The Lambert $W$ Function / 151 \\ III.18 Laplace's Equation / 155 \\ III.19 The Logistic Equation / 156 \\ III.20 The Lorenz Equations / 158 \\ III.21 Mathieu Functions / 159 \\ III.22 Maxwell's Equations / 160 \\ III.23 The Navier--Stokes Equations / 162 \\ III.24 The Painlev{\'e} Equations / 163 \\ III.25 The Riccati Equation / 165 \\ III.26 Schr{\"o}dinger's Equation / 167 \\ III.27 The Shallow-Water Equations / 167 \\ III.28 The Sylvester and Lyapunov Equations / 168 \\ III.29 The Thin-Film Equation / 169 \\ III.30 The Tricomi Equation / 170 \\ III.31 The Wave Equation / 171 \\ Part IV: Areas of Applied Mathematics \\ IV.1 Complex Analysis / 173 \\ IV.2 Ordinary Differential Equations / 181 \\ IV.3 Partial Differential Equations / 190 \\ IV.4 Integral Equations / 200 \\ IV.5 Perturbation Theory and Asymptotics / 208 \\ IV.6 Calculus of Variations / 218 \\ IV.7 Special Functions / 227 \\ IV.8 Spectral Theory / 236 \\ IV.9 Approximation Theory / 248 \\ IV.10 Numerical Linear Algebra and Matrix Analysis / 263 \\ IV.11 Continuous Optimization (Nonlinear and Linear Programming) / 281 \\ IV.12 Numerical Solution of Ordinary Differential Equations / 293 \\ IV.13 Numerical Solution of Partial Differential Equations / 306 \\ IV.14 Applications of Stochastic Analysis / 319 \\ IV.15 Inverse Problems / 327 \\ IV.16 Computational Science / 335 \\ IV.17 Data Mining and Analysis / 350 \\ IV.18 Network Analysis / 360 \\ IV.19 Classical Mechanics / 374 \\ IV.20 Dynamical Systems / 383 \\ IV.21 Bifurcation Theory / 393 \\ IV.22 Symmetry in Applied Mathematics / 402 \\ IV.23 Quantum Mechanics / 411 \\ IV.24 Random-Matrix Theory / 419 \\ IV.25 Kinetic Theory / 428 \\ IV.26 Continuum Mechanics / 446 \\ IV.27 Pattern Formation / 458 \\ IV.28 Fluid Dynamics / 467 \\ IV.29 Magnetohydrodynamics / 476 \\ IV.30 Earth System Dynamics / 485 \\ IV.31 Effective Medium Theories / 500 \\ IV.32 Mechanics of Solids / 505 \\ IV.33 Soft Matter / 516 \\ IV.34 Control Theory / 523 \\ IV.35 Signal Processing / 533 \\ IV.36 Information Theory / 545 \\ IV.37 Applied Combinatorics and Graph Theory / 552 \\ IV.38 Combinatorial Optimization / 564 \\ IV.39 Algebraic Geometry / 570 \\ IV.40 General Relativity and Cosmology / 579 \\ Part V: Modeling \\ V.1 The Mathematics of Adaptation (Or the Ten Avatars of Vishnu) / 591 \\ V.2 Sport / 598 \\ V.3 Inerters / 604 \\ V.4 Mathematical Biomechanics / 609 \\ V.5 Mathematical Physiology / 616 \\ V.6 Cardiac Modeling / 623 \\ V.7 Chemical Reactions / 627 \\ V.8 Divergent Series: Taming the Tails / 634 \\ V.9 Financial Mathematics / 640 \\ V.10 Portfolio Theory / 648 \\ V.11 Bayesian Inference in Applied Mathematics / 658 \\ V.12 A Symmetric Framework with Many Applications / 661 \\ V.13 Granular Flows / 665 \\ V.14 Modern Optics / 673 \\ V.15 Numerical Relativity / 680 \\ V.16 The Spread of Infectious Diseases / 687 \\ V.17 The Mathematics of Sea Ice / 694 \\ V.18 Numerical Weather Prediction / 705 \\ V.19 Tsunami Modeling / 712 \\ V.20 Shock Waves / 720 \\ V.21 Turbulence / 724 \\ Part VI: Example Problems \\ VI.1 Cloaking / 733 \\ VI.2 Bubbles / 735 \\ VI.3 Foams / 737 \\ VI.4 Inverted Pendulums / 741 \\ VI.5 Insect Flight / 743 \\ VI.6 The Flight of a Golf Ball / 746 \\ VI.7 Automatic Differentiation / 749 \\ VI.8 Knotting and Linking of Macromolecules / 752 \\ VI.9 Ranking Web Pages / 755 \\ VI.10 Searching a Graph / 757 \\ VI.11 Evaluating Elementary Functions / 759 \\ VI.12 Random Number Generation / 761 \\ VI.13 Optimal Sensor Location in the Control of Energy-Efficient Buildings / 763 \\ VI.14 Robotics / 767 \\ VI.15 Slipping, Sliding, Rattling, and Impact: Nonsmooth Dynamics and Its Applications / 769 \\ VI.16 From the $N$-Body Problem to Astronomy and Dark Matter / 771 \\ VI.17 The $N$-Body Problem and the Fast Multipole Method / 775 \\ VI.18 The Traveling Salesman Problem / 778 \\ Part VII: Application Areas \\ VII.1 Aircraft Noise / 783 \\ VII.2 A Hybrid Symbolic--Numeric Approach to Geometry Processing and Modeling / 787 \\ VII.3 Computer-Aided Proofs via Interval Analysis / 790 \\ VII.4 Applications of Max-Plus Algebra / 795 \\ VII.5 Evolving Social Networks, Attitudes, and Beliefs --- and Counterterrorism / 800 \\ VII.6 Chip Design / 804 \\ VII.7 Color Spaces and Digital Imaging / 808 \\ VII.8 Mathematical Image Processing / 813 \\ VII.9 Medical Imaging / 816 \\ VII.10 Compressed Sensing / 823 \\ VII.11 Programming Languages: An Applied Mathematics View / 828 \\ VII.12 High-Performance Computing / 839 \\ VII.13 Visualization / 843 \\ VII.14 Electronic Structure Calculations (Solid State Physics) / 847 \\ VII.15 Flame Propagation / 852 \\ VII.16 Imaging the Earth Using Green's Theorem / 857 \\ VII.17 Radar Imaging / 860 \\ VII.18 Modeling a Pregnancy Testing Kit / 864 \\ VII.19 Airport Baggage Screening with X-Ray Tomography / 866 \\ VII.20 Mathematical Economics / 868 \\ VII.21 Mathematical Neuroscience / 873 \\ VII.22 Systems Biology / 879 \\ VII.23 Communication Networks / 883 \\ VII.24 Text Mining / 887 \\ VII.25 Voting Systems / 891 \\ Part VIII: Final Perspectives \\ VIII.1 Mathematical Writing / 897 \\ VIII.2 How to Read and Understand a Paper / 903 \\ VIII.3 How to Write a General Interest Mathematics Book / 906 \\ VIII.4 Workflow / 912 \\ VIII.5 Reproducible Research in the Mathematical Sciences / 916 \\ VIII.6 Experimental Applied Mathematics / 925 \\ VIII.7 Teaching Applied Mathematics / 933 \\ VIII.8 Mediated Mathematics: Representations of Mathematics in Popular Culture and Why These Matter / 943 \\ VIII.9 Mathematics and Policy / 953 \\ Index / 963", } @Book{Kennedy:2015:CAM, editor = "Stephen F. Kennedy", booktitle = "A Century of Advancing Mathematics", title = "A Century of Advancing Mathematics", publisher = pub-MATH-ASSOC-AMER, address = pub-MATH-ASSOC-AMER:adr, pages = "xi + 423", year = "2015", ISBN = "0-88385-588-7 (hardcover), 1-61444-522-2 (e-book)", ISBN-13 = "978-0-88385-588-1 (hardcover), 978-1-61444-522-7 (e-book)", LCCN = "QA26 .C46 2015", bibdate = "Fri Aug 12 19:09:34 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", abstract = "The MAA [Mathematical Association of America] was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association --- to advance mathematics, especially at the collegiate level --- has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more than just mathematics; we have, as this volume tries to make evident, investigated mathematical connections to pedagogy, history, the arts, technology, literature, every field of intellectual endeavor. Essays, all commissioned for this volume, include exposition by Bob Devaney, Robin Wilson, and Frank Morgan; history from Karen Parshall, Della Dumbaugh and Bill Dunham; pedagogical discussion from Paul Zorn, Joe Gallian and Michael Starbird, and cultural commentary from Bonnie Gold, Jon Borwein and Steve Abbott. This volume contains 35 essays by all-star writers and expositors writing to celebrate an extraordinary century for mathematics --- more mathematics has been created and published since 1915 than in all of previous recorded history. We've solved age-old mysteries, created entire new fields of study, and changed our conception of what mathematics is. Many of those stories are told in this volume as the contributors paint a portrait of the broad cultural sweep of mathematics during the MAA's first century. Mathematics is the most thrilling, the most human, area of intellectual inquiry; you will find in this volume compelling proof of that claim.", acknowledgement = ack-nhfb, subject = "Mathematics; History; 20th century; 21st century; Research; Study and teaching (Higher); Mathematics", tableofcontents = "The hyperbolic revolution: from topology to geometry, and back / Francis Bonahon \\ A century of complex dynamics / Daniel Alexander and Robert L. Devaney \\ Map-coloring problems / Robin Wilson \\ Six milestones in geometry / Frank Morgan \\ Defying God: the Stanley-Wilf Conjecture, Stanley-Wilf Limits, and a two-generation explosion of combinatorics / Eric S. Egge \\ What is the best approach to counting primes? / Andrew Granville \\ A century of elliptic curves / Joseph H. Silverman \\ The Mathematical Association of America: its first 100 years / David E. Zitarelli \\ The stratification of the American mathematical community: the Mathematical Association of America and the American Mathematical Society, 1915-1925 / Karen Hunger Parshall \\ Time and place: sustaining the American mathematical community / Della Dumbaugh \\ Abstract (modern) algebra in America 1870-1950: a brief account / Israel Kleiner \\ The history of the undergraduate program in mathematics in the United States / Alan Tucker \\ Inquiry-based learning through the life of the MAA / Michael Starbird \\ A passport to pleasure / Bob Kaplan and Ellen Kaplan \\ Strength in numbers: broadening the view of the mathematics major / Rhonda Hughes \\ A history of undergraduate research in mathematics / Joseph A. Gallian \\ The calculus reform movement: a personal account / Paul Zorn \\ Introducing e[superscript]x / Gilbert Strang \\ Computational experiences in the pre-electronic days / Philip J. Davis \\ A century of visualization: one geometer's view / Thomas F. Banchoff \\ The future of mathematics: 1965-2065 / Jonathan M. Borwein \\ Philosophy of mathematics: what has happened since G{\"o}del's results? / Bonnie Gold \\ Twelve classics people who love mathematics should know; or, ``What do you mean, you haven't read E. T. Bell?'' / Gerald L. Alexanderson \\ The dramatic life of mathematics: a centennial history of the intersection of mathematics and theater in a prologue, three acts, and an epilogue / Stephen D. Abbott \\ 2007: the year of Euler / William Dunham \\ The Putnam Competition: origin, lore, structure / Leonard F. Klosinski \\ Getting involved with MAA: a path less traveled / Ezra ``Bud'' Brown \\ Henry L. Alder / Donald J. Albers and Gerald L. Alexanderson \\ Lida K. Barrett / Kenneth A. Ross \\ Ralph P. Boas / Daniel Zelinsky \\ Leonard Gillman--Reminiscences / Martha J. Siegel \\ Paul Halmos: no apologies / John Ewing \\ Ivan Niven / Kenneth A. Ross \\ George P{\'o}lya and the MAA / Gerald L. Alexanderson", } @Proceedings{Reich:2015:IPO, editor = "Simeon Reich and Alexander J. Zaslavski", booktitle = "{Infinite products of operators and their applications: a research workshop of the Israel Science Foundation: May 21--24, 2012, Haifa, Israel: Israel mathematical conference proceedings}", title = "{Infinite products of operators and their applications: a research workshop of the Israel Science Foundation: May 21--24, 2012, Haifa, Israel: Israel mathematical conference proceedings}", volume = "636", publisher = pub-AMS, address = pub-AMS:adr, pages = "xi + 266", year = "2015", DOI = "https://doi.org/10.1090/conm/636", ISBN = "1-4704-1480-5 (paperback)", ISBN-13 = "978-1-4704-1480-1 (paperback)", LCCN = "QA329 .I54 2015", MRclass = "15-XX; 40-XX; 41-XX; 46-XX; 47-XX; 49-XX; 54-XX; 58-XX; 62-XX; 65-XX; 90-XX", bibdate = "Fri Aug 12 19:13:19 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", series = "Contemporary mathematics", URL = "http://www.ams.org/books/conm/636/", acknowledgement = ack-nhfb, subject = "Operator theory; Congresses; Operator spaces; Ergodic theory; Mathematics; Linear and multilinear algebra; matrix theory; Sequences, series, summability; Approximations and expansions; Functional analysis; Operator theory; Calculus of variations and optimal control; optimization; General topology; Global analysis, analysis on manifolds; Statistics; Numerical analysis; Operations research, mathematical programming.", tableofcontents = "Preface / vii \\ Conference Program / ix \\ List of Participants / xi \\ Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces / Heinz H. Bauschke and Valentin R. Koch / 1 \\ Projectors on Intersections of Subspaces / Adi Ben-Israel / 41 \\ Recent Progress on Monotone Operator Theory / Jonathan M. Borwein and Liangjin Yao / 51 \\ Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy / Ran Davidi, Yair Censor, Reinhard W. Schulte, Sarah Geneser and Lei Xing/ 83 \\ Arbitrarily Slow Convergence of Sequences of Linear Operators / Frank Deutsch and Hein Hundal / 93 \\ Reformulating the Pascoletti-Serafini Problem as a Bi-Level Optimization Problem / / Aviv Gibali, Karl-Heinz K{\"u}fer, and Philipp S{\"u}ss / 121 \\ Remetrization Theorems for Finite Families of Mappings and Hyperbolic Iterated Function Systems / Jacek Jachymski / 131 \\ Poisson's Equation for Mean Ergodic Operators / Michael Lin and Laurian Suciu / 141 \\ Vector-Valued Metrics in Fixed Point Theory / Adrian Petru{\c{s}}el, Cristina Urs, and Oana Mle{\c{s}}ni{\c{t}}e / 149 \\ Projected Gradient Method for Non-Negative Least Square / Roman A. Polyak / 167 \\ Nonlinear Equilibrium for Resource Allocation Problems / Roman A. Polyak / 181 \\ Infinite Products of Discontinuous Operators / Evgeniy Pustylnik and Simeon Reich / 199 \\ Contractivity, Porosity and Infinite Products / Simeon Reich and Alexander J. Zaslavski / 203 \\ Performance of Hull-Detection Algorithms for Proton Computed Tomography Reconstruction / Blake Schultze, Micah Witt, Yair Censor, Reinhard Schulte and Keith Evan Schubert / 211 \\ Attractive Point and Mean Convergence Theorems for New Generalized Nonspreading Mappings in Banach Spaces / Wataru Takahashi, Ngai-Ching Wong and Jen-Chih Yao / 225 \\ Proximal Point Algorithms for Finding Zeros of Maximal Monotone Operators in the Presence of Computational Errors / Alexander J. Zaslavski / 249", } @Book{Scherzer:2015:HMM, editor = "Otmar Scherzer", booktitle = "Handbook of Mathematical Methods in Imaging", title = "Handbook of Mathematical Methods in Imaging", publisher = "SpringerReference", address = "New York, NY, USA", edition = "Second", pages = "xviii + 2178 (3 volumes)", year = "2015", DOI = "https://doi.org/10.1007/978-1-4939-0790-8", ISBN = "1-4939-0789-1 (set), 1-4939-0790-5 (e-book)", ISBN-13 = "978-1-4939-0789-2 (set), 978-1-4939-0790-8 (e-book)", LCCN = "RC78.7.D53 H358 2015", bibdate = "Sat Aug 13 16:08:19 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", abstract = "The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 200 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.", acknowledgement = ack-nhfb, subject = "Diagnostic imaging; Mathematical models; Image processing; Digital techniques; Imaging systems in medicine", subject = "Mathematics; Medical radiology; Computer vision; Numerical analysis; Computer vision; Mathematics; Medical radiology; Numerical analysis", tableofcontents = "Front Matter / i-xviii \\ Inverse Problems --- Methods \\ Front Matter / 1--1 \\ Linear Inverse Problems / Charles Groetsch / 3--46 \\ Large-Scale Inverse Problems in Imaging / Julianne Chung, Sarah Knepper, James G. Nagy / 47--90 \\ Regularization Methods for Ill-Posed Problems / Jin Cheng, Bernd Hofmann / 91--123 \\ Distance Measures and Applications to Multimodal Variational Imaging / Christiane P{\"o}schl, Otmar Scherzer / 125--155 \\ Energy Minimization Methods / Mila Nikolova / 157--204 \\ Compressive Sensing / Massimo Fornasier, Holger Rauhut / 205--256 \\ Duality and Convex Programming / Jonathan M. Borwein, D. Russell Luke / 257--304 \\ EM Algorithms / Charles Byrne, Paul P. B. Eggermont / 305--388 \\ EM Algorithms from a Non-stochastic Perspective / Charles Byrne / 389--429 \\ Iterative Solution Methods / Martin Burger, Barbara Kaltenbacher, Andreas Neubauer / 431--470 \\ Level Set Methods for Structural Inversion and Image Reconstruction / Oliver Dorn, Dominique Lesselier / 471--532 \\ Inverse Problems --- Case Examples \\ Front Matter / 533--533 \\ Expansion Methods / Habib Ammari, Hyeonbae Kang / 535--590 \\ Sampling Methods / Martin Hanke-Bourgeois, Andreas Kirsch / 591--647 \\ Inverse Scattering / David Colton, Rainer Kress / 649--700 \\ Electrical Impedance Tomography / Andy Adler, Romina Gaburro, William Lionheart / 701--762 \\ Synthetic Aperture Radar Imaging / Margaret Cheney, Brett Borden / 763--799 \\ Tomography / Gabor T. Herman / 801--845 \\ Microlocal Analysis in Tomography / Venkateswaran P. Krishnan, Eric Todd Quinto / 847--902 \\ Mathematical Methods in PET and SPECT Imaging / Athanasios S. Fokas, George A. Kastis / 903--936 \\ Mathematics of Electron Tomography / Ozan {\"O}ktem / 937--1031 \\ Inverse Problems --- Case Examples Front Matter / 533--533 \\ Optical Imaging / Simon R. Arridge, Jari P. Kaipio, Ville Kolehmainen, Tanja Tarvainen / 1033--1079 \\ Photoacoustic and Thermoacoustic Tomography: Image Formation Principles / Kun Wang, Mark A. Anastasio / 1081--1116 \\ Mathematics of Photoacoustic and Thermoacoustic Tomography / Peter Kuchment, Leonid Kunyansky / 1117--1167 \\ Mathematical Methods of Optical Coherence Tomography / Peter Elbau, Leonidas Mindrinos, Otmar Scherzer / 1169--1204 \\ Wave Phenomena / Matti Lassas, Mikko Salo, Gunther Uhlmann / 1205--1252 \\ Sonic Imaging / Frank Natterer / 1253--1278 \\ Imaging in Random Media / Liliana Borcea / 1279--1340 \\ Image Restoration and Analysis \\ Front Matter / 1341--1341 \\ Statistical Methods in Imaging / Daniela Calvetti, Erkki Somersalo / 1343--1392 \\ Supervised Learning by Support Vector Machines / Gabriele Steidl / 1393--1453 \\ Total Variation in Imaging / V. Caselles, A. Chambolle, M. Novaga / 1455--1499 \\ Numerical Methods and Applications in Total Variation Image Restoration / Raymond Chan, Tony F. Chan, Andy Yip / 1501--1537 \\ Mumford and Shah Model and Its Applications to Image Segmentation and Image Restoration / Leah Bar, Tony F. Chan, Ginmo Chung, Miyoun Jung, Luminita A. Vese, Nahum Kiryati, Nir Sochen / 1539--1597 \\ Local Smoothing Neighborhood Filters / Jean-Michel Morel, Antoni Buades, Tomeu Coll / 1599--1643 \\ Neighborhood Filters and the Recovery of 3D Information / Julie Digne, Mariella Dimiccoli, Neus Sabater, Philippe Salembier / 1645--1673 \\ Splines and Multiresolution Analysis / Brigitte Forster / 1675--1716 \\ Gabor Analysis for Imaging / Ole Christensen, Hans G. Feichtinger, Stephan Paukner / 1717--1757 \\ Shape Spaces / Alain Trouv{\'e}, Laurent Younes / 1759--1817 \\ Variational Methods in Shape Analysis / Martin Rumpf, Benedikt Wirth / 1819--1858 \\ Manifold Intrinsic Similarity / Alexander M. Bronstein, Michael M. Bronstein / 1859--1908 \\ Image Segmentation with Shape Priors: Explicit Versus Implicit Representations / Daniel Cremers / 1909--1944 \\ Image Restoration and Analysis \\ Front Matter / 1341--1341 \\ Optical Flow / Florian Becker, Stefania Petra, Christoph Schn{\"o}rr / 1945--2004 \\ Non-linear Image Registration / Lars Ruthotto, Jan Modersitzki / 2005--2051 \\ Starlet Transform in Astronomical Data Processing / Jean-Luc Starck, Fionn Murtagh, Mario Bertero / 2053--2098 \\ Differential Methods for Multi-dimensional Visual Data Analysis / Werner Benger, Ren{\'e} Heinzl, Dietmar Hildenbrand, Tino Weinkauf, Holger Theisel, David Tschumperl{\'e} / 2099--2162 \\ Back Matter / 2163--2178", } @Book{Bailey:2016:PNG, editor = "David H. Bailey and Jonathan M. Borwein", booktitle = "Pi: the next generation: a sourcebook on the recent history of Pi and its computation", title = "Pi: the next generation: a sourcebook on the recent history of Pi and its computation", publisher = pub-SV, address = pub-SV:adr, pages = "xiv + 507", year = "2016", DOI = "https://doi.org/10.1007/978-3-319-32377-0", ISBN = "3-319-32375-X, 3-319-32377-6 (e-book)", ISBN-13 = "978-3-319-32375-6, 978-3-319-32377-0 (e-book)", LCCN = "QA251", MRclass = "01A75, 11-00, 65-00, 11-06, 65-06", bibdate = "Fri Sep 30 09:43:05 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", URL = "http://docserver.carma.newcastle.edu.au/1716/; http://lib.myilibrary.com?id=941862", ZMnumber = "1342.01042", acknowledgement = ack-nhfb, subject = "Pi", tableofcontents = "Computation of $\pi$ using arithmetic--geometric mean (1976) / Salamin, Eugene / 1--8 \\ Fast multiple-precision evaluation of elementary functions (1976) / Brent, Richard P. / 9--20 \\ The arithmetic--geometric mean of Gauss (1984) / Cox, David A. / 21--78 \\ The arithmetic--geometric mean and fast computation of elementary functions (1984) / Borwein, J. M. and Borwein, P. B. / 79--96 \\ A simplified version of the fast algorithms of Brent and Salamin (1985) / Newman, D. J. / 97--102 \\ Is pi normal? (1985) / Wagon, S. / 103--107 \\ The computation of $\pi$ to 29,360,000 decimal digits using Borweins' quartically convergent algorithm (1988) / Bailey, David H. / 109--124 \\ Gauss, Landen, Ramanujan, the arithmetic--geometric mean, ellipses, $\pi$, and the Ladies Diary (1988) / Almkvist, Gert (et al.) / 125--150 \\ Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation (1988) / Kanada, Yasumasa / 151--164 \\ Ramanujan and pi (1988) / Borwein, Jonathan M. (et al.) / 165--174 \\ Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi (1989) / Borwein, Jonathan M. (et al.) / 175--195 \\ Pi, Euler numbers, and asymptotic expansions (1989) / Borwein, Jonathan M. (et al.) / 197--205 \\ A spigot algorithm for the digits of $\pi$ (1995) / Rabinowitz, Stanley (et al.) / 207--217 \\ On the rapid computation of various polylogarithmic constants (1997) / Bailey, David H. (et al.) / 219--231 \\ Similarities in irrationality proofs for $\pi$, ln 2, \zeta(2), and \zeta(3) (2001) / Huylebrouck, Dirk / 233--244 \\ Unbounded spigot algorithms for the digits of pi (2006) / Gibbons, Jeremy / 245--257 \\ Mathematics by experiment: Plausible reasoning in the 21st Century (2008) / Bailey, David H. (et al.) / 259--291 \\ Approximations to $\pi$ derived from integrals with nonnegative integrands (2009) / Lucas, Stephen K. / 293--301 \\ Ramanujan's series for 1/$\pi$: A survey (2009) / Baruah, Nayandeep Deka (et al.) / 303--325 \\ The computation of previously inaccessible digits of $\pi$ / Bailey, David H. (et al.) / 327--339 \\ Walking on real numbers (2013) / Artacho, Francisco J. Arag{\'o}n (et al.) / 341--361 \\ Birth, growth and computation of pi to ten trillion digits (2013) / Agarwal, Ravi (et al.) / 363--423 \\ Pi day is upon us again and we still do not know if pi is normal (2014) / Bailey, David H. (et al.) / 425--442 \\ The Life of $\pi$ (2014) / Borwein, Jonathan M. (et al.) / 443--474 \\ I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly (2015) / Borwein, Jonathan M. / 475--499", } @Book{Calude:2016:HFC, author = "Cristian S. Calude", booktitle = "The Human Face of Computing", title = "The Human Face of Computing", volume = "9", publisher = "Imperial College Press", address = "London, UK", pages = "xvi + 432", year = "2016", DOI = "https://doi.org/10.1142/p992", ISBN = "1-78326-643-0 (hardcover), 1-78326-645-7 (e-book)", ISBN-13 = "978-1-78326-643-2 (hardcover), 978-1-78326-645-6 (e-book)", LCCN = "QA76.9.C66", bibdate = "Fri Aug 12 18:41:13 MDT 2016", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib", series = "Advances in computer science and engineering. Texts", URL = "http://www.worldscientific.com/worldscibooks/10.1142/p992", acknowledgement = ack-nhfb, subject = "Computers and civilization; Computer scientists; Interviews; Informationsgesellschaft; Computer scientists; Computers and civilization", tableofcontents = "Foreword / ix \\ Acronyms / xiii \\ Computing Science / 1 \\ Formal Methods / Dines Bj{\o}rner / 3 \\ Computer System and Network Performance Analysis / Erol Gelenbe / 13 \\ From Theoretical Computer Science to Behavioural Programming, Biology and Smell / David Harel / 35 \\ Computational Complexity / Juris Hartmanis / 47 \\ From Theory to Library of Efficient Data Typos and Algorithms (LEDA) and Algorithm Engineering / Kurt Mehlhorn / 59 \\ Theoretical Computer Science / Arto Salomaa / 73 \\ Concurrent Systems Specification and Verification / Joseph Sifakis / 87 \\ Information-Based Complexity / Joseph F. Traub / 107 \\ A Stroll Through the Gardens of Computer Science / Ian H. Witten / 127 \\ Computing in Biology, Mathematics and Physics / 139 \\ Experimental Mathematics / Jon Borwein / 141 \\ Constructive Mathematics / Douglas Bridges / 157 \\ Mathematics, Physics, Biology and Philosophy / Gregory Chaitin / 169 \\ Qualitative Computing / Fran{\c{c}}oise Chatelin / 183 \\ Computability, Complexity Theory, Reverse Mathematics and Algorithmic Information Theory / Rod Downey / 203 \\ Informatics, Physics and Mathematics / Jozef Gruska / 225 \\ Computations and Natural Sciences / Giuseppe Longo / 253 \\ My Life Is Not a Conveyor Belt / Yuri Manin / 277 \\ Mathematical Analysis, Languages and Fractals / Solomon Marcus / 287 \\ Information, Quantum Mechanics and Probabilities / Mioara Mugur-Schachter / 311 \\ Natural Computing / Grzegorz Rozenberg / 327 \\ Social Aspects of Computing / 351 \\ The Internet / Brian E. Carpenter / 353 \\ Systems, Art and CONICYT / Eric Goles / 373 \\ Mathematics, Computer Science and Life / Yuri Gurevich / 383 \\ Computing and Thinking about the Future / Hermann Maurer / 399 \\ From Theory and Practice in Computing to Research Ethics and the Surveillance State / Moshe Y. Vardi / / 409 \\ Compiler Construction and Dagstuhl / Reinhard Wilhelm / 417 \\ Postface / 429", } @Book{Selin:2016:EHS, author = "Helaine Selin", booktitle = "Encyclopaedia of the History of Science, Technology, and Medicine in non-{Western} cultures", title = "Encyclopaedia of the History of Science, Technology, and Medicine in non-{Western} cultures", publisher = pub-SV, address = pub-SV:adr, edition = "Third", pages = "????", year = "2016", DOI = "https://doi.org/10.1007/978-94-007-7747-7", ISBN = "94-007-7746-9 (set), 94-007-7747-7 (e-book), 94-007-7748-5 (bundle)", ISBN-13 = "978-94-007-7746-0 (set), 978-94-007-7747-7 (e-book), 978-94-007-7748-4 (bundle)", LCCN = "????", bibdate = "Fri Aug 12 19:00:27 MDT 2016", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", URL = "http://link.springer.com/referencework/10.1007/978-94-007-7747-7; http://www.loc.gov/catdir/enhancements/fy1608/2015957805-b.html; http://www.loc.gov/catdir/enhancements/fy1608/2015957805-d.html; http://www.loc.gov/catdir/enhancements/fy1608/2015957805-t.html", abstract = "This updated and augmented third edition of this landmark encyclopedia contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics adorned with full color pictures. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You'll also find material on religion and science, East and West, and magic and science. This amazing resource even contains entries on fascinating esoteric topics such as Native American mathematics, Polynesian navigation, and African Metallurgy. There are also biographical articles for those cultures where individual scientists are known to us, such as China and the Islamic world.", acknowledgement = ack-nhfb, tableofcontents = "Abacus \\ Agriculture in Indonesia \\ Barrow in China \\ Boats of the Precolonial Philippines: Butuan Boats \\ Calendars and Timekeeping Around the World \\ Divination: Science, Technology, and the Mantic Arts in Traditional China \\ Environment and Nature: The Natural Environment in Native American Thought \\ Food and the Maori \\ Hydraulic Engineering in Ancient Peru and Bolivia \\ Knowledge Systems: Indigenous Knowledge of Trees and Forests \\ Land, Labor, Water, and Technology in Pre-Columbian South America \\ Mausoleums of the Islamic World \\ Probability in Non-Western Cultures \\ Quinoa. A Millenary Grain in Northern Argentina \\ Ship- and Boatbuilding in Ancient Egypt \\ Technology: Inland Technology in China: Boat Building, Steerage and Propulsion \\ Water Management and Reservoirs in India and Sri Lanka \\ Zinc Production in China", } @Book{Wuppuluri:2017:STL, author = "Shyam Wuppuluri and Giancarlo Ghirardi", booktitle = "Space, Time, and the Limits of Human Understanding", title = "Space, Time, and the Limits of Human Understanding", publisher = pub-SV, address = pub-SV:adr, pages = "xxiv + 530", year = "2017", DOI = "https://doi.org/10.1007/978-3-319-44418-5", ISBN = "3-319-44417-4, 3-319-44418-2 (e-book)", ISBN-13 = "978-3-319-44417-8, 978-3-319-44418-5 (e-book)", LCCN = "BD161", bibdate = "Sat Jan 21 18:28:37 2017", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, tableofcontents = "Foreword \\ Appendix \\ Preface \\ Acknowledgements \\ Contents \\ About the Editors \\ Philosophy \\ 1 Space as a Source and as an Object of Knowledge: The Transformation of the Concept of Space in the Post-Kantian Philosophy of Geometry \\ 1.1 Introduction \\ 1.2 Three Roads to Geometrical Empiricism in the Nineteenth Century \\ 1.2.1 The Philosophical \\ 1.2.2 The Natural \\ 1.2.3 The Mathematical \\ 1.3 Invariants and Symmetries \\ 1.4 Subjectivity and Objectivity \\ 1.4.1 Hermann Weyl \\ 1.4.2 Ernst Cassirer \\ References \\ 2 Time in Physics and Time in Awareness \\ 2.1 Introduction \\ 2.2 Durational Time in Mechanics Linear and Cyclic Time \\ 2.3 Metric Time and Its Relation to Symmetry Principles \\ 2.4 Irreversibility and Historical Time \\ 2.5 The Birth of Time \\ 2.6 Causation and Time Sequence \\ 2.7 Perception of Time: Archetypes and Artifacts \\ References \\ 3 Time and Space in Ancient India: Pre-philosophical Period \\ 3.1 Time in the {\`o}Rgveda \\ 3.2 Time-Space Calculations and Ritual Time During the Vedic Period \\ 3.3 Space Organization in Vedic Cosmography \\ 3.4 Time in the Later Vedic Tradition: Atharvaveda and Upani{\`o}sads \\ 3.5 Time and Space in the Epics \\ References \\ 4 {\'S}r{\=i}har{\`o}sa on the Indefinability of Time \\ Abstract \\ 4.1 Introduction \\ 4.2 Time in Ny{\=a}ya \\ 4.3 {\'S}r{\=i}har{\`o}sa's Refutation of Time (k{\=a}lakha{\`o}n{\`o}dana) \\ 4.3.1 Preamble [A] \\ 4.3.2 Time-Forms as Inherent (sv{\=a}bh{\=a}vika) to Time [B] \\ 4.3.3 Time-Forms as a Result from Limiting Conditions (aup{\=a}dhika) [C] \\ 4.3.4 Time-Forms as a Consequence of the Presence and Absence of an External Activity [D] \\ 4.3.5 Time-Forms Are Based on the Relation (apek{\`o}s{\=a}) to a Particular Activity [E] \\ 4.3.6 Time as a Simultaneous Object and Locus of Cognition [F] \\ 4.4 The Advaita View of Time: Citsukha and Madhus{\=u}dana \\ 4.4.1 Citsukha \\ 4.4.2 Madhus{\=u}dana Sarasvat{\=i} \\ 4.5 Conclusion \\ Appendix \\ 8.3.4 String Theory and Extra Dimensions \\ 8.4 Is Space-Time Fundamental? \\ 8.4.1 Arguments for Emergence \\ 8.4.2 Arguments Against Emergence of Space-Time \\ 8.5 What About Time? \\ 8.5.1 Arguments Against the Passage of Time \\ 8.5.2 An Arguments for the Unreality of Time \\ 8.5.3 Arguments Against the Unreality of Time \\ 8.6 A New Look into the Debates: Primitive Ontology \\ References \\ 9 Relativity Theory May not Have the Last Word on the Nature of Time: Quantum Theory and Probabilism \\ Abstract \\ 9.1 Two Views About the World \\ 9.2 The Impact of Relativity Theory", } %%% Last MathSciNet search (years 2015--date): Fri Oct 13 15:15:20 2017 %%% Last zbMATH search (years 2015--date): Fri Sep 30 09:40:55 2016 %%% Last Web of Science search (years 2014--date): Fri Sep 30 09:59:49 2016