Valid HTML 4.0! Valid CSS!
%%% -*-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"}

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@String{j-J-SYMBOLIC-COMP       = "Journal of Symbolic Computation"}

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@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

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@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"}

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@String{j-NUM-MATH              = "Numerische Mathematik"}

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@String{j-SCI-CHINA-MATH        = "Science China. Mathematics"}

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@String{j-SET-VALUED-VAR-ANAL   = "Set-Valued and Variational Analysis"}

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@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 =