%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.09", %%% date = "01 March 2018", %%% time = "14:12:40 MST", %%% filename = "mupad.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 = "34251 3575 15594 153277", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; MuPAD; symbolic %%% algebra", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This file contains bibliography entries for %%% books and other publications about the %%% MuPAD symbolic algebra system. %%% %%% At version 1.09, the year coverage looks %%% like this: %%% %%% 1991 ( 1) 2000 ( 15) 2009 ( 1) %%% 1992 ( 1) 2001 ( 42) 2010 ( 0) %%% 1993 ( 4) 2002 ( 1) 2011 ( 0) %%% 1994 ( 4) 2003 ( 6) 2012 ( 0) %%% 1995 ( 12) 2004 ( 7) 2013 ( 0) %%% 1996 ( 13) 2005 ( 3) 2014 ( 0) %%% 1997 ( 16) 2006 ( 1) 2015 ( 0) %%% 1998 ( 5) 2007 ( 0) 2016 ( 0) %%% 1999 ( 7) 2008 ( 1) 2017 ( 1) %%% %%% Article: 44 %%% Book: 18 %%% InProceedings: 23 %%% Manual: 40 %%% Misc: 2 %%% Periodical: 1 %%% Proceedings: 13 %%% TechReport: 1 %%% %%% Total entries: 142 %%% %%% This bibliography has been collected from %%% the author's personal bibliography files, %%% from the very large computer science %%% bibliography collection on ftp.ira.uka.de %%% in /pub/bibliography to which many people %%% of have contributed, and from several %%% Internet-accessible library catalogs, %%% notably those of the University of %%% California, Stanford University, Library %%% of Congress, and OCLC, plus the ACM Portal %%% and IEEE Xplore databases. %%% %%% This bibliography is sorted by year, and %%% within each year, by author and title key, %%% with ``bibsort -byyear''. Cross-referenced %%% proceedings entries appear at the end, %%% because of a restriction in the current %%% BibTeX. %%% %%% 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{"\input bibnames.sty " # "\input path.sty " # "\hyphenation{ Zeit-schrift }" }

%%% ==================================================================== %%% 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/|"}

%%% ==================================================================== %%% Institution abbreviations:

@String{inst-MUPAD= "MuPAD Research Group"} @String{inst-MUPAD:adr= "Universit{\"a}t Paderborn, Paderborn, Germany"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACM-COMM-COMP-ALGEBRA= "ACM Communications in Computer Algebra"} @String{j-COMPUT-SCI-ENG= "Computing in Science and Engineering"} @String{j-EUROMATH-BULL= "Euromath Bulletin"} @String{j-LINUX-J= "Linux Journal"} @String{j-MATH-COMP-SIM= "Mathematics and Computers in Simulation"} @String{j-SIGCHI= "ACM SIGCHI Bulletin"} @String{j-SIGSAM= "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)"} @String{j-SPEKTRUM-WISSENSCHAFT= "Spektrum der Wissenschaft (German translation of Scientific American)"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-BIRKHAUSER= "Birkh{\"a}user Verlag"} @String{pub-BIRKHAUSER:adr= "Basel, Switzerland"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TEUBNER= "Teubner"} @String{pub-TEUBNER:adr= "Stuttgart, Germany; Leipzig, Germany"} @String{pub-VIEWEG= "Friedrich Vieweg und Sohn"} @String{pub-VIEWEG:adr= "Braunschweig, Germany"} @String{pub-WILEY= "John Wiley and Sons, Inc."} @String{pub-WILEY:adr= "Chichester, UK"} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore, Philadelphia, River Edge, NJ"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNCS= "Lecture Notes in Computer Science"}

%%% ==================================================================== %%% Bibliography entries:

@Periodical{Fuchssteiner:1991:MOE, editor = "Benno Fuchssteiner and Andreas Sorgatz and Mirek Majewski", key = "mathPAD", title = "{mathPAD Online Edition: The Magazine of the MuPAD Research Group}", publisher = inst-MUPAD, address = inst-MUPAD:adr, year = "1991", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.mupad.com/mathpad/", xxnote = "Check founding year: volume 14 is in 2005.", } @Article{Wiwianka:1992:MMA, author = "W. Wiwianka", title = "{MuPAD} --- Multiprocessing Algebra Data Tool", journal = "{SUGinfo}", volume = "2/92", pages = "31--36", year = "1992", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD", } @Article{Anonymous:1993:PCA, author = "Anonymous", title = "Perspectives in Computer Algebra", journal = "Mathematics Quarterly", volume = "2/1993", pages = "3--6", year = "1993", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD", } @InProceedings{Anonymous:1993:SBD, author = "Anonymous", booktitle = "{Computeralgebra in Deutschland --- Bestandsaufnahme, M{\"o}glichkeiten, Perspektiven}. ({German}) [{Computer} Algebra in {Germany}: Stocktaking, Possibilities, Perspectives]", title = "{Symbolische Behandlung von Differentialgleichungen (p. 61--72), Anwendungen der Computeralgebra: Solitonen (p. 111--116), Computeralgebra-Anwendungen bei nichtlinearen Systemen (p. 123--126), Systeme f{\"u}r parallele Architekturen: MuPAD (p. 180--185), Experimentelle Systeme und Programmpakete: SymmPAD (p. 270--274)}. ({German}) [{Symbolic} Treatment of Differential Equations; Use of Computer Algebra: Solitons; Computer Algebra: Use in Nonlinear Systems; System for Parallel Architectures: {MuPAD}; Experimental System and Program Complexes (??): {SymmPAD}]", publisher = "Fachgruppe Computeralgebra der GI, DMV, GAMM", address = "Passau und Heidelberg, Germany", year = "1993", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "Differentialgleichungen, Solitonen, MuPAD", language = "German", } @Book{Fuchssteiner:1993:MMA, author = "B. Fuchssteiner and others", title = "{MuPAD: multiprocessing algebra data tool: Benutzerhandbuch}. (German) [{MuPAD} User Handbook]", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, year = "1993", ISBN = "3-7643-2872-X", ISBN-13 = "978-3-7643-2872-6", LCCN = "", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Hilfe-Seiten, Parallelit{\"a}t", language = "German", } @Article{Wiwianka:1993:CAM, author = "W. Wiwianka", title = "{Das Computer-Algebrasystem MuPAD}. (German) [{The} Computer-Algebra System {MuPAD}]", journal = "{Solaris Magazin}", volume = "1/93", pages = "3", year = "1993", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD", language = "German", } @Book{Fuchssteiner:1994:MMP, editor = "Benno Fuchssteiner", title = "{MuPad} multi processing algebra data tool: tutorial, {MuPad} version 1.2", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "vi + 197", year = "1994", ISBN = "3-7643-5017-2 (Basel), 0-8176-5017-2 (Boston)", ISBN-13 = "978-3-7643-5017-8 (Basel), 978-0-8176-5017-9 (Boston)", LCCN = "QA76.95 .M85 1994", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, keywords = "Domains; Language Structure; MuPAD", subject = "MuPAD; Mathematics; Data processing", } @InProceedings{Gottheil:1994:DGB, author = "K. Gottheil", booktitle = "{DMV-Jahrestagung 1994 (Duisburg, 18-24.9.94), Sektion 11 --- Computeralgebra}", title = "{Differential-Gr{\"o}bner-Basen im Computer-Algebra System MuPAD}. (German) [{Differential} {Gr{\"o}bner} bases in the computer-algebra system {MuPAD}]", publisher = "????", address = "????", year = "1994", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Parallelit{\"a}t, Gr{\"o}bner-Basen", language = "German", } @Article{Heck:1994:HIS, author = "Andr{\'e} Heck", title = "Human interaction for symbolic computation: {RIACA workshop, Amsterdam, March 10--11, 1994}", journal = j-SIGCHI, volume = "26", number = "3", pages = "19--22", month = jul, year = "1994", CODEN = "SGBUD4", DOI = "https://doi.org/10.1145/181518.181521", ISSN = "0736-6906", ISSN-L = "0736-6906", bibdate = "Tue Oct 18 05:55:20 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "The Research Institute for Applications of Computer Algebra (RIACA), in Amsterdam, The Netherlands, has as its goal the research of applications of computer algebra in the fields of mathematics and sciences, engineering, etc. It aims to be an institute with a strong international visibility.", acknowledgement = ack-nhfb, fjournal = "ACM SIGCHI Bulletin", keywords = "MuPAD", } @Article{Morisse:1994:CAS, author = "K. Morisse and A. Kemper", title = "The Computer Algebra System {MuPAD}", journal = j-EUROMATH-BULL, volume = "1", number = "2", pages = "95--102", year = "1994", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", fjournal = "Euromath Bulletin", keywords = "MuPAD, Computer Algebra, Parallelism", } @Article{Anonymous:1995:Ma, author = "Anonymous", title = "{MuPAD 1.2.2}", journal = "{Linux Magazin}", volume = "9/95", pages = "9", year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Mathematiksoftware", } @Article{Anonymous:1995:Mb, author = "Anonymous", title = "{MuPAD}", journal = "{Mitteilungen des Hochschulverbandes}", volume = "1/95", pages = "42", year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra", } @Article{Anonymous:1995:UPF, author = "Anonymous", title = "{Uni-Programm f{\"u}r Matheprobleme}. (German) [{University} program for math problems]", journal = "{Computer Zeitung}", volume = "48", month = nov, year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Mathematiksoftware, Lehre", language = "German", } @InProceedings{Drescher:1995:GBM, author = "K. Drescher and P. Zimmermann", booktitle = "{Proceedings of the PoSSo workshop on software, Paris}", title = "{Gr{\"o}bner} bases in {MuPAD}: state and future", publisher = "????", address = "????", pages = "177--182", month = mar, year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Gr{\"o}bner Bases, Ideal, Parallelism", } @Article{Grossman:1995:IIC, author = "Robert Grossman", title = "{1st International IMACS Conference on Applications of Computer Algebra}", journal = j-SIGSAM, volume = "29", number = "3--4", pages = "9--12", month = dec, year = "1995", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/226186.570114", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Sep 06 07:11:07 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "113/114", keywords = "MuPAD", } @Article{Hillebrand:1995:MLM, author = "A. Sorgatz und R. Hillebrand", title = "{Mathematik unter Linux: MuPAD --- Ein Computeralgebra System I}. (German) [{Mathematics} in {Linux}: {MuPAD} --- {A} Computer Algebra System, {I}]", journal = "{Linux Magazin}", volume = "12/95", pages = "11--14", year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra", language = "German", } @InProceedings{Morisse:1995:NDM, author = "K. Morisse and G. Oevel", title = "New Developments in {MuPAD}", crossref = "Fleischer:1995:CAS", pages = "44--56", year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Parallelism, Domains", } @InProceedings{Naundorf:1995:PM, author = "H. Naundorf", editor = "Michael Wester and Stanley Steinberg and Michael Jahn", booktitle = "{Electronic Proceedings of the 1st International IMACS Conference on Applications of Computer Algebra}", title = "Parallelism in {MuPAD}", publisher = "????", address = "????", month = may, year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", series = "http://math.unm.edu/ACA//1995Proceedings/MainPage.html", http = "http://math.unm.edu/ACA/1995/Proceedings/parallel/ Naundorf_paper.ps", keywords = "MuPAD, Computer Algebra, Parallelism", } @InProceedings{Oevel:1995:MBW, author = "F. Postel und F. Schwarz G. Oevel", editor = "K. P. M{\"u}ller", booktitle = "{Beitr{\"a}ge zum Mathematikunterricht, Vortr{\"a}ge der 29. Bundestagung f{\"u} Didaktik der Mathematik}", title = "{MuPAD in Bildung und Wissenschaft}. (German) [{MuPAD} in Education and Science]", publisher = "Franz Becker Verlag", address = "Hildesheim, Germany", pages = "356--359", year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Lehre", language = "German", } @Article{Zimmermann:1995:WTS, author = "P. Zimmermann", title = "{Wester}'s test suite in {MuPAD 1.2.2}", journal = "Computer Algebra Nederland Nieuwsbrief", volume = "14", pages = "53--64", month = apr, year = "1995", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra, Test Suite, Review", } @Book{Anonymous:1996:MUM, author = "Anonymous", title = "{MuPad} user's manual: {Multi-Processing Algebra Data} Tool: {MuPad} version 1.2.2", publisher = "Wiley-Teubner", address = "Chichester, UK", pages = "xiv + 572", year = "1996", ISBN = "0-471-96716-5 (Wiley), 3-519-02114-5 (Teubner)", ISBN-13 = "978-0-471-96716-3 (Wiley), 978-3-519-02114-8 (Teubner)", LCCN = "QA76.95 .M86 1996", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "MuPAD; Mathematics; Data processing", } @Article{Bernardin:1996:RSS, author = "Laurent Bernardin", title = "A Review of Symbolic Solvers", journal = j-SIGSAM, volume = "30", number = "1", pages = "9--20", month = mar, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:04 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "Solving equations and systems of equations symbolically is a key feature of every Computer Algebra System. This review examines the capabilities of the six best known general purpose systems to date in the area of general algebraic and transcendental equation solving. Areas explicitly not covered by this review are differential equations and numeric or polynomial system solving as special purpose systems exist for these kinds of problems.The aim is to provide a benchmark for comparing Computer Algebra Systems in a specific domain. We do not intend to give a rating of overall capabilities as for example [8].", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C6130 (Data handling techniques)", corpsource = "Inst. for Sci. Comput., Eidgenossische Tech. Hochschule, Zurich, Switzerland", fjournal = "SIGSAM Bulletin", issue = "115", keywords = "algebraic; Axiom 2.0; computer algebra system; Derive 3.06; equation solving; general purpose systems; Macsyma 420; Maple V R4; Mathematica 2.2; MuPAD; Reduce 3.6; review; software reviews; symbol manipulation; symbolic solvers; transcendental equation solving", treatment = "P Practical; R Product Review", } @Article{Hillebrand:1996:MLM, author = "A. Sorgatz und R. Hillebrand", title = "{Mathematik unter Linux: MuPAD --- Ein Computeralgebra System II}. (German) [{Mathematics} in {Linux}: {MuPAD} --- {A} Computer Algebra System, {II}]", journal = "{Linux Magazin}", volume = "2/96, 3/96 ({Nachdruck})", pages = "60--67", year = "1996", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Computer Algebra", language = "German", } @Book{Kluge:1996:EPF, author = "O. Kluge", title = "{Entwicklung einer Programmierumgebung f{\"u}r die Parallelverarbeitung in der Computer-Algebra}. (German) [{Development} of a programming environment for parallel processing in computer algebra]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, month = dec, year = "1996", ISBN = "3-519-02196-X", ISBN-13 = "978-3-519-02196-4", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", series = "MuPAD Reports", keywords = "MuPAD, parallel computing", language = "German", } @Article{Kraume:1996:SI, author = "R. Kraume", title = "{Symbolische Integration}. (German) [{Symbolic} integration]", journal = j-SPEKTRUM-WISSENSCHAFT, volume = "3", pages = "95--98", year = "1996", CODEN = "SPEKDI", ISSN = "0170-2971", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", fjournal = "Spektrum der Wissenschaft (German translation of Scientific American)", language = "German", } @Book{MuPAD:1996:MUM, author = "{The MuPAD Group}", title = "{MuPAD} User's Manual --- {MuPAD} Version 1.2.2", publisher = pub-WILEY, address = pub-WILEY:adr, edition = "first", month = mar, year = "1996", ISBN = "0-471-96716-5 (Wiley), 3-519-02114-5 (Teubner)", ISBN-13 = "978-0-471-96716-3 (Wiley), 978-3-519-02114-8 (Teubner)", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "includes a CD for Apple Macintosh and UNIX", keywords = "MuPAD, Help Pages, Language Structure, Parallelism", } @Book{Naundorf:1996:DMF, author = "H. Naundorf", title = "{Ein denotationales Modell f{\"u}r parallele objektbasierte Systeme}. (German) [{A} denotational model for parallel object-based systems]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, month = dec, year = "1996", ISBN = "3-519-02197-8", ISBN-13 = "978-3-519-02197-1", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", series = "MuPAD Reports", keywords = "MuPAD, parallel computing", language = "German", } @InProceedings{Oevel:1996:CAE, author = "G. Oevel and G. Siek", title = "Computer Algebra in Education", crossref = "Maurer:1995:EMH", pages = "??--??", month = jun, year = "1996", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", http = "http://www.iicm.tu-graz.ac.at/Cedmedia/", keywords = "MuPAD, Computer Algebra, Education, Software for Mathematics", } @InProceedings{Postel:1996:ROS, author = "F. Postel and P. Zimmermann", title = "A review of the {ODE} solvers of {Maple}, {Mathematica}, {Macsyma} and {MuPAD}", crossref = "Carriere:1996:PRW", year = "1996", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "updated version includes Axiom, Derive and Reduce", keywords = "Computer Algebra, MuPAD, Ordinary Differential Equation, Review, Solver", } @InProceedings{PosZim:96, author = "F. Postel and P. Zimmermann", editor = "L. R. Oudin A. Carri{\`e}re", title = "A review of the {ODE} solvers of {Maple}, {Mathematica}, {Macsyma} and {MuPAD}", crossref = "Carriere:1996:PRW", year = "1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "updated version includes Axiom, Derive and Reduce", URL = "http://math-www.uni-paderborn.de/MuPAD/BIB/poszim96.html", keywords = "Computer Algebra, MuPAD, Ordinary Differential Equation, Review, Solver", } @Book{Sorgatz:1996:DMV, author = "A. Sorgatz", title = "{Dynamische Module --- Eine Verwaltung f{\"u}r Maschinencode-Objekte zur Steigerung der Effizienz und Flexibilit{\"a}t von Computeralgebra-Systemen}. (German) [{Dynamic} modules --- an administration for machine-code objects for the increase of the efficiency and flexibility of computer algebra systems]", volume = "1", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, month = oct, year = "1996", ISBN = "3-519-02195-1", ISBN-13 = "978-3-519-02195-7", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Das Konzept der Dynamischen Module sowie technische Grundlagen der Implementation in MuPAD", series = "MuPAD Reports", keywords = "MuPAD, Softwareintegration", language = "German", } @InProceedings{Tsarev:1996:ACE, author = "S. P. Tsarev", title = "An algorithm for complete enumeration of all factorizations of a linear ordinary differential operator", crossref = "Lakshman:1996:IPI", pages = "226--231", year = "1996", bibdate = "Tue Oct 18 06:10:42 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "ACM order number 505960.", acknowledgement = ack-nhfb, } @Article{Bachmann:1997:DEM, author = "Olaf Bachmann and Simon Gray", title = "A Demonstration of Exchanging Mathematical Expressions using {MP}", journal = j-SIGSAM, volume = "31", number = "3", pages = "50--50", month = sep, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/271130.271203", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Poster abstract only.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "122", keywords = "MuPAD", } @InProceedings{Bernardin:1997:MMP, author = "Laurent Bernardin", title = "{Maple} on a massively parallel, distributed memory machine", crossref = "Kaltofen:1997:PPS", pages = "217--222", year = "1997", DOI = "https://doi.org/10.1145/266670.266732", bibdate = "Thu Mar 12 07:28:19 MST 1998", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/266670/p217-bernardin/", acknowledgement = ack-nhfb, keywords = "algorithms; design; languages; MuPAD; performance", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf C.1.2} Computer Systems Organization, PROCESSOR ARCHITECTURES, Multiple Data Stream Architectures (Multiprocessors), Parallel processors**. {\bf F.2.1} Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Computations on polynomials.", } @InProceedings{Cesari:1997:CCA, author = "Giovanni Cesari", title = "{CALYPSO}: a computer algebra library for parallel symbolic computation", crossref = "Kaltofen:1997:PPS", publisher = pub-ACM, address = pub-ACM:adr, pages = "204--216", year = "1997", DOI = "https://doi.org/10.1145/266670.266730", bibdate = "Tue Oct 18 05:46:21 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, keywords = "MuPAD", } @Article{Fee:1997:PPCb, author = "G. J. Fee and M. B. Monagan", title = "Problems, puzzles, challenges", journal = j-SIGSAM, volume = "31", number = "4", pages = "48--49", month = dec, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/274888.274891", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Gerdt:1997:MIB, author = "Vladimir P. Gerdt and Yuri A. Blinkov", title = "Minimal Involutive Bases", journal = j-SIGSAM, volume = "31", number = "3", pages = "44--44", month = sep, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/271130.271198", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Poster abstract only.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "122", } @Article{Greuel:1997:SCA, author = "G.-M. Greuel and G. Pfister and H. Sch{\"o}nemann", title = "{Singular 1.0}: {A} Computer Algebra System for Singularity Theory, Algebraic Geometry and Commutative Algebra", journal = j-SIGSAM, volume = "31", number = "3", pages = "48--50", month = sep, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/271130.271202", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Poster abstract only.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "122", } @Article{Heckler:1997:PM, author = "Christian Heckler and Oliver Kluge and Torsten Metzner and Andreas Sorgatz and Paul Zimmermann", title = "Parallelism in {MuPAD}", journal = j-SIGSAM, volume = "31", number = "3", pages = "48--48", month = sep, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/271130.271201", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Poster abstract only.", abstract = "SINGULAR is a computer algebra system designed to be a power-house for polynomial computations with special features for algebraic geometry and singularity theory.The development of SINGULAR started in 1986, motivated by the question of the existence of complete intersection singularities which are not quasi-homogeneous, but whose Poincare-complex is exact. The existence of such singularities could be shown in 1987 with an implementation of Mora's algorithm on an Atari in Modula-2 [11]. In 1990, SINGULAR was ported to Unix, and a first public-domain distribution followed. The code of SINGULAR was rewritten in C/C++. An interpreted user-level programming language and user-written libraries were added in 1993. With the release of version 1.0 in May 1997, many important features were added, including: (*) Polynomial factorization (*) Factorizing Buchberger algorithm (*) FGLM algorithm (*) Primary decomposition of ideals (*) MP links for general and efficient storage and inter-process communications. The goal of the poster is to discuss and demonstrate these new features of SINGULAR where, in combination with the posters on MP and MuPAD, special emphasize will be paid to SINGULAR's MP interface and its resulting possibilities and problems.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "122", } @Article{LJS:1997:NP, author = "{Linux Journal Staff}", title = "New Products", journal = j-LINUX-J, volume = "39es", number = "??", pages = "??--??", month = jul, year = "1997", CODEN = "LIJOFX", ISSN = "1075-3583 (print), 1938-3827 (electronic)", ISSN-L = "1075-3583", bibdate = "Tue Oct 18 05:31:04 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "Linux Journal", journal-URL = "http://portal.acm.org/citation.cfm?id=J508", keywords = "Automath; MuPAD", } @Book{Naundorf:1997:MVS, author = "H. Naundorf", title = "{MAMMUT --- Eine verteilte Speicherverwaltung f{\"u}r symbolische Manipulation}. (German) [{MAMMUT} --- {A} distributed storage management for symbolic manipulation]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, month = feb, year = "1997", ISBN = "3-519-02198-6", ISBN-13 = "978-3-519-02198-8", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", series = "MuPAD Reports", keywords = "MuPAD, memory management, garbage collection, parallel computing", language = "German", } @TechReport{Postel:1997:NIM, author = "A. Sorgatz F. Postel", title = "New issues in {MuPAD 1.3}", institution = "CAN", address = "Amsterdam, The Netherlands", month = may, year = "1997", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", series = "MuPAD Reports", keywords = "MuPAD, Improvements, MuPAD PRO, Dynamic Modules", } @Misc{Sorgatz:1997:DMC, author = "A. Sorgatz", title = "Dynamic Modules --- The Concept of Software Integration in {MuPAD}", howpublished = "Talk and handouts, IMACS'97, Maui, Hawaii, USA.", month = jul, year = "1997", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.mupad.de/BIB/ONLINE/sorgatz97c.ps.gz", keywords = "dynamic linking, C/C++", } @Misc{Sorgatz:1997:DMSa, author = "A. Sorgatz", title = "Dynamic Modules --- Software Integration in {MuPAD}", howpublished = "Poster Abstracts, ISSAC'97, Maui, Hawaii, USA", month = jul, year = "1997", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.mupad.de/BIB/ONLINE/SORGATZ97b/", keywords = "dynamic linking, C/C++", } @Article{Sorgatz:1997:DMSb, author = "Andreas Sorgatz", title = "Dynamic Modules: Software Integration in {MuPAD}", journal = j-SIGSAM, volume = "31", number = "3", pages = "45--47", month = sep, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/271130.271200", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Poster abstract only.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "122", } @Article{Sorgatz:1997:MDM, author = "A. Sorgatz", title = "{MuPAD --- Dynamische Module, Spiel (fast) ohne Grenzen}. (German) [{MuPAD} --- Dynamic modules, play (nearly) without limits]", journal = "{Linux Magazin}", volume = "01/97", year = "1997", bibdate = "Mon Oct 17 19:06:00 2005", bibsource = "http://hpc.cs.ehime-u.ac.jp/MuPAD/BIB/bibtex.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", keywords = "MuPAD, Softwareintegration, Dynamische Module", language = "German", } @Book{Benker:1998:ICS, author = "Hans Benker", title = "{Ingenieurmathematik mit Computeralgebra-Systemen: AXIOM, DERIVE, MACSYMA, MAPLE, MATHCAD, MATHEMATICA, MATHLAP und MuPAD in der Anwendung}. ({German}) [{Engineering} mathematics with computer algebra systems: {AXIOM}, {DERIVE}, {MACSYMA}, {MAPLE}, {MATHCAD}, {MATHEMATICA}, {MATHLAP} and {MuPAD} in their use]", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "xiii + 439", year = "1998", ISBN = "3-528-05673-8", ISBN-13 = "978-3-528-05673-5", LCCN = "????", bibdate = "Wed Apr 10 15:53:11 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, language = "German", } @InProceedings{Diaz:1998:FSM, author = "Angel D{\'\i}az and Erich Kaltofen", title = "{FOXBOX}: a system for manipulating symbolic objects in black box representation", crossref = "Gloor:1998:IAU", pages = "30--37", year = "1998", DOI = "https://doi.org/10.1145/281508.281538", bibdate = "Tue Oct 18 06:08:56 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, keywords = "MuPAD", } @InProceedings{Iglio:1998:SCC, author = "Pietro Iglio and Giuseppe Attardi", crossref = "Gloor:1998:IAU", pages = "62--69", year = "1998", DOI = "https://doi.org/10.1145/281508.281548", bibdate = "Tue Oct 18 05:19:21 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Article{Macsyma:1998:MSI, author = "{Technical Staff at Macsyma, Inc.}", title = "{Macsyma} Solutions to the {ISSAC '97 Challenge Problems}", journal = j-SIGSAM, volume = "32", number = "1", pages = "18--37", month = mar, year = "1998", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/294833.570093", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Mon Jul 27 17:01:40 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "123", keywords = "MuPAD", } @InProceedings{Bernardin:1999:SCJ, author = "Laurent Bernardin and Bruce Char and Erich Kaltofen", title = "Symbolic computation in {Java}: an appraisement", crossref = "ACM:1999:IJS", pages = "237--244", year = "1999", DOI = "https://doi.org/10.1145/309831.309946", bibdate = "Tue Oct 18 06:06:53 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, keywords = "MuPAD", } @Article{Lewis:1999:CPO, author = "Robert H. Lewis and Michael Wester", title = "Comparison of polynomial-oriented computer algebra systems", journal = j-SIGSAM, volume = "33", number = "4", pages = "5--13", month = dec, year = "1999", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/500457.500459", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Tue Oct 18 05:08:13 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "Exact symbolic computation with polynomials and matrices over polynomial rings has wide applicability to many fields [Hereman96, Lewis99]. By ``exact symbolic'', we mean computation with polynomials whose coefficients are integers (of any size), rational numbers, or from finite fields, as opposed to coefficients that are ``floats'' of a certain precision. Such computation is part of most computer algebra (CA) systems. Over the last dozen years, several large CA systems have become widely available, such as Axiom, Derive, Macsyma, Maple, Mathematica and Reduce. They tend to have great breadth, be produced by profit-making companies, and be relatively expensive, at least for a full blown non-student version. However, most if not all of these systems have difficulty computing with the polynomials and matrices that arise in actual research. Real problems tend to produce large polynomials and large matrices that the general CA systems cannot handle [Lewis99].In the last few years, several smaller CA systems focused on polynomials have been produced at universities by individual researchers or small teams. They run on Macs, PCs and workstations. They are freeware or shareware. Several claim to be much more efficient than the large systems at exact polynomial computations. The list of these systems includes CoCoA, Fermat, MuPAD, Pari-Gp and Singular [CoCoA, Fermat, MuPAD, Pari-Gp, Singular].In this paper, we compare these small systems to each other and to two of the large systems (Magma and Maple) on a set of problems involving exact symbolic computation with polynomials and matrices. The problems here involve: (*) the ground rings Z, Q, Z/p and other finite fields (*) basic arithmetic of polynomials over the ground ring (*) basic arithmetic of rational functions over the ground ring (*) polynomial evaluation (substitution) (*) matrix normal forms (*) determinants and characteristic polynomials (*) GCDs of multivariate polynomials (*) resultants.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "130", } @Article{McAndrew:1999:M, author = "Alasdair McAndrew", title = "{MuPad}", journal = j-LINUX-J, volume = "63", pages = "??--??", month = jul, year = "1999", CODEN = "LIJOFX", ISSN = "1075-3583 (print), 1938-3827 (electronic)", ISSN-L = "1075-3583", bibdate = "Thu Sep 21 07:44:10 MDT 2000", bibsource = "http://noframes.linuxjournal.com/lj-issues/issue63/index.html; http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://noframes.linuxjournal.com/lj-issues/3101.html", acknowledgement = ack-nhfb, fjournal = "Linux Journal", journal-URL = "http://portal.acm.org/citation.cfm?id=J508", } @Book{Sorgatz:1999:DMU, author = "Andreas Sorgatz", title = "Dynamic modules: user's manual and programming guide for {MuPAD 1.4}", publisher = pub-SV, address = pub-SV:adr, pages = "xxiv + 234", year = "1999", ISBN = "3-540-65043-1 (pbk./CD-ROM)", ISBN-13 = "978-3-540-65043-0 (pbk./CD-ROM)", LCCN = "QA76.95 .S632 1999", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "MuPAD; Mathematics; Data processing", } @Article{Sorgatz:1999:THP, author = "Andreas Sorgatz and Stefan Wehmeier", title = "Towards high-performance symbolic computing: using {MuPAD} as a problem solving environment", journal = j-MATH-COMP-SIM, volume = "49", number = "3", pages = "235--246", month = aug, year = "1999", CODEN = "MCSIDR", DOI = "https://doi.org/10.1016/S0378-4754(99)00053-1", ISSN = "0378-4754 (print), 1872-7166 (electronic)", ISSN-L = "0378-4754", bibdate = "Tue Sep 13 09:52:49 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Special issue on high performance symbolic computing", abstract = "This article discusses the approach of developing MuPAD into an open and parallel problem solving environment for mathematical applications. It introduces the key technologies domains and dynamic modules and describes the current state of macroparallelism which covers three fields of parallel programming: message passing, network variables and work groups. First parallel algorithms and examples of using the prototype of the MuPAD problem solving environment are demonstrated.", acknowledgement = ack-nhfb, fjournal = "Mathematics and Computers in Simulation", } @Article{Volcheck:1997:TRCc, author = "Emil Volcheck", title = "Technical report column", journal = j-SIGSAM, volume = "31", number = "4", pages = "50--53", month = dec, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/274888.570095", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Tue Oct 18 05:41:50 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)", keywords = "MuPAD", } @Article{Wester:1999:IAC, author = "Michael Wester and Eugenio Roanes-Lozano", title = "{IMACS Applications of Computer Algebra Conference 1999}: Summary", journal = j-SIGSAM, volume = "33", number = "2", pages = "53--57", month = jun, year = "1999", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/334714.570086", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Oct 13 10:23:42 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "128", keywords = "MuPAD", } @Article{Hare:2000:RCB, author = "K. Hare", title = "Rapid computation of {Bernoulli} and related numbers", journal = j-SIGSAM, volume = "34", number = "1", pages = "18--19", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373504", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @InProceedings{Harris:2000:ANM, author = "Jason Harris", title = "Advanced notations in {Mathematica}", crossref = "Traverso:2000:IPI", pages = "153--160", year = "2000", DOI = "https://doi.org/10.1145/345542.345613", bibdate = "Tue Oct 18 05:48:49 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "This paper outlines the functionality and implementation of the Notation package, an extension to the Mathematica front end, allowing the user to introduce advanced notations. Following this, several advanced example notations are presented. These include complete and functioning notations for both Dirac's bra-ket notation as well as for tensorial expressions. Proper functioning notations for both of these objects have not been previously presented in a major symbolic computation system, if at all.", acknowledgement = ack-nhfb, keywords = "MuPAD", } @Article{Huber:2000:CGF, author = "Birkett Huber", title = "Computing {Gr{\"o}bner} fans of toric ideals", journal = j-SIGSAM, volume = "34", number = "1", pages = "19--20", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373503", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Kai:2000:HCB, author = "Hiroshi Kai and Matu-Tarow Noda", title = "Hybrid computation of bivariate rational interpolation", journal = j-SIGSAM, volume = "34", number = "1", pages = "20--21", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373505", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Ke:2000:SAC, author = "Nainn-Ping Ke", title = "Symbolic and algebraic computation in robust stability analysis", journal = j-SIGSAM, volume = "34", number = "1", pages = "21--21", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373506", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Lewis:2000:CPO, author = "Robert H. Lewis and Michael Wester", title = "Comparison of polynomial-oriented computer algebra systems", journal = j-SIGSAM, volume = "34", number = "1", pages = "24--24", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373507", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Tue Oct 18 05:08:13 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", } @Article{Murao:2000:AAE, author = "Hirokazu Murao", title = "{$ 2 W $}-ary algorithm for extended problem of integer {GCD}", journal = j-SIGSAM, volume = "34", number = "1", pages = "25--25", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373508", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", } @Book{Oevel:2000:MTM, editor = "W. (Walter) Oevel", title = "{MuPAD-Tutorium}. {MuPAD} tutorial: a version and platform independent introduction", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 361", year = "2000", ISBN = "3-540-67546-9 (softcover)", ISBN-13 = "978-3-540-67546-4 (softcover)", LCCN = "QA76.95 .M85513 2000", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, language = "English", subject = "MuPAD; Mathematics; Data processing", } @Article{Popov:2000:OSA, author = "Bogdan A. Popov", title = "Optimal starting approximation and iterative algorithm for inverse error function", journal = j-SIGSAM, volume = "34", number = "1", pages = "25--26", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373510", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Prieto:2000:MOA, author = "H{\'e}l{\`e}ne Prieto and St{\'e}phane Dalmas and Yves Papegay", title = "{Mathematica} as an {OpenMath} application", journal = j-SIGSAM, volume = "34", number = "2", pages = "22--26", month = jun, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/362001.362016", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "Several computer algebra teams around the world have been working on OpenMath since 1994, but in spite of more than six years of work (including a dedicated three years European project), there are not yet any widely available OpenMath applications. There is obviously some sort of boot-strapping problem: people developing mathematical software are not really ready to invest in the OpenMath technology by making their applications OpenMath compliant because there are no interesting OpenMath programs which their own applications can talk to.Our computer algebra team at INRIA (formerly SAFIR and now CAFE) has been involved with the international OpenMath effort since the very first OpenMath meeting. We have produced several prototypes at various stages. With the help of people from Waterloo Maple we have demonstrated a development version of Maple linked with our OpenMath C library in December 1996. This prototype was able to exchange data (including multivariate polynomials in a special representation) with a Reduce OpenMath server (thanks to people at ZIB) and a small Aldor ([11]) program (linked with an Aldor OpenMath library). We have produced a quite complete OpenMath version of Reduce at the end of 1997 (during a sabbatical leave at ZIB). We have used OpenMath in various projects: an algorithm animation system for Aldor programs ([3]), a deductive database for mathematical formulas ([5]), a software component to display and edit formulas ([2]) and as the output format of a system for optical formula recognition. Despite all these efforts and the efforts of the other teams involved in OpenMath which has shown the interest of this technology the future of OpenMath is still not clear. Many people in the mathematical software community remain to be convinced.The advent of MathML ([9]) has complicated the situation, since to some people it seems like an alternative to OpenMath. In practice those defining them see the two standards as complementary rather than competing, but the rationale for this is not always obvious to those outside these communities. With an ever growing number of MathML applications (the latest versions of Mathematica and Reduce are already MathML capable), it is desirable to have applications which demonstrate the advantages of OpenMath. A natural choice for such an application is a major computer algebra system. This would provide a very convenient environment to test OpenMath applications for any mathematical software implementer.Currently the only major system that has a reliable and well tested technology that can be used to make it an OpenMath application without access to the system internals is Mathematica (thanks to the MathLink library, [13]). That is why we choose to build MOMOS, an OpenMath-Mathematica translator. We also considered MuPAD and Maple as possible candidates. MuPAD is a very interesting system. Its ability to dynamically link external libraries would have allowed us to use our C library ([7]) to read and write OpenMath objects, but there are far fewer MuPAD users than Maple or Mathematica users. The last version of Maple also has the same sort of capability but when started to write MOMOS the current Maple version we had access to did not.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "132", } @Article{Sato:2000:PCB, author = "Yosuke Sato", title = "Parallel computation of {Boolean Gr{\"o}bner} bases", journal = j-SIGSAM, volume = "34", number = "1", pages = "27--28", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373509", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Thiery:2000:AIGa, author = "Nicolas M. Thi{\'e}ry", title = "Algebraic invariants of graphs: a computer aided study", journal = j-SIGSAM, volume = "34", number = "1", pages = "29--29", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373511", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Article{Thiery:2000:AIGb, author = "Nicolas M. Thi{\'e}ry", title = "Algebraic invariants of graphs; a study based on computer exploration", journal = j-SIGSAM, volume = "34", number = "3", pages = "9--20", month = sep, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/377604.377612", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "133", keywords = "MuPAD", } @Article{Tsai:2000:WCI, author = "Harrison Tsai", title = "{Weyl} closure of a {$D$}-ideal", journal = j-SIGSAM, volume = "34", number = "1", pages = "29--30", month = mar, year = "2000", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/373500.373512", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Fri Feb 8 18:27:07 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", keywords = "MuPAD", } @Manual{Anonymous:2001:ACD, author = "Anonymous", title = "Axioms, Categories and Domains", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "69", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#domainref.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:ALA, author = "Anonymous", title = "{\tt adt} --- library for abstract data types", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "15", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#adt.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:APA, author = "Anonymous", title = "{{\tt Ax}} --- predefined axioms", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "9", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#Ax.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:CLC, author = "Anonymous", title = "{\tt combinat} --- library for combinatorics", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "15", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#combinat.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:CPC, author = "Anonymous", title = "{{\tt Cat}} --- predefined categories", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "62", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#Cat.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:DBM, author = "Anonymous", title = "{\tt datatypes} --- Basic {MuPAD} data types", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "54", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#datatypes.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:DLD, author = "Anonymous", title = "{\tt detools} --- library for differential equations", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "28", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#detools.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:DPD, author = "Anonymous", title = "{{\tt Dom}} --- predefined domains", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "230", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#Dom.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:FLF, author = "Anonymous", title = "{\tt fp} --- library for functional programming", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "13", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#fp.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:GGI, author = "Anonymous", title = "{\tt generate} --- generate input to other programs", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "34", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#generate.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:GLG, author = "Anonymous", title = "{\tt groebner} --- library for {Gr{\"o}bner} bases", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "9", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#groebner.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:IID, author = "Anonymous", title = "{\tt import} --- import data", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "8", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#import.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:ITI, author = "Anonymous", title = "{\tt intlib} --- tools for integration", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "10", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#intlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:LLLa, author = "Anonymous", title = "{\tt listlib} --- library for list manipulation", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "15", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#listlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:LLLb, author = "Anonymous", title = "{\tt linopt} --- library for linear optimization", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "47", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#linopt.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:LLLc, author = "Anonymous", title = "{\tt linalg} --- library for linear algebra", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "169", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#linalg.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:MLD, author = "Anonymous", title = "{\tt module} --- library for dynamic modules", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "16", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#module.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:MLP, author = "Anonymous", title = "{\tt matchlib} --- library for pattern matching", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "4", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#matchlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:MMa, author = "Anonymous", title = "{\tt misc} --- miscellanea", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "9", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#misc.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:MMb, author = "Anonymous", title = "From {MuPAD 1.4} to {MuPAD 2.0}", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "59", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#changes.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:MQR, author = "Anonymous", title = "{MuPAD 2.0} Quick Reference", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "16", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#quickref.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:NLG, author = "Anonymous", title = "{{\tt Network}} --- library for graph theory", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "47", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#Network.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:NLNa, author = "Anonymous", title = "{\tt numlib} --- library for number theory", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "50", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#numlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:NLNb, author = "Anonymous", title = "{\tt numeric} --- library for numerical algorithms", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "160", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#numeric.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:O, author = "Anonymous", title = "{\tt ode}", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "11", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#ode.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:OLF, author = "Anonymous", title = "{\tt output} --- library for formatted output", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "8", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#output.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:OLO, author = "Anonymous", title = "{\tt orthpoly} --- library for orthogonal polynomials", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "23", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#orthpoly.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:P, author = "Anonymous", title = "{\tt plotlib}", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "23", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#plotlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:PGL, author = "Anonymous", title = "{\tt plot} --- graphics library", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "177", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#plot.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:PLPa, author = "Anonymous", title = "{\tt property} --- library for properties", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "12", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#property.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:PLPb, author = "Anonymous", title = "{\tt polylib} --- library for polynomial manipulation", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "33", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#polylib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:PPT, author = "Anonymous", title = "{\tt prog} --- programmer's toolbox", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "39", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#prog.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:PUP, author = "Anonymous", title = "{{\tt Pref}} --- user preferences", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "37", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#Pref.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:SDT, author = "Anonymous", title = "{\tt solvelib} --- data types and utilities for the solver", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "12", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#solvelib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:SET, author = "Anonymous", title = "{\tt student} --- educational tools", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "23", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#student.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:SL, author = "Anonymous", title = "The standard library", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "931", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#stdlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:SLSa, author = "Anonymous", title = "{\tt stringlib} --- library for string manipulation", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "11", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#stringlib.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:SLSb, author = "Anonymous", title = "{\tt stats} --- library for statistics", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "70", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#stats.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:TLI, author = "Anonymous", title = "{\tt transform} --- library for integral transforms", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "8", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#transform.pdf", acknowledgement = ack-nhfb, } @Manual{Anonymous:2001:TLT, author = "Anonymous", title = "{{\tt Type}} --- library for type checking and mathematical properties", organization = inst-MUPAD, address = inst-MUPAD:adr, pages = "79", day = "25", month = jul, year = "2001", bibdate = "Tue Oct 18 07:51:24 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.math.utah.edu/pub/mupad/doc/pdf_help.zip#Type.pdf", acknowledgement = ack-nhfb, } @InProceedings{Krishnan:2001:PEM, author = "Shankar Krishnan and Mark Foskey and Tim Culver and John Keyser and Dinesh Manocha", title = "{PRECISE}: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation", crossref = "ACM:2001:PSA", pages = "274--283", year = "2001", DOI = "https://doi.org/10.1145/378583.378693", bibdate = "Tue Oct 18 05:27:23 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; umlibr.library.umass.edu:210/INNOPAC", abstract = "Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitives like curves and surfaces. The algorithms designed for these problems make decisions based on signs of geometric predicates or on the roots of polynomials characterizing the problem. The reliability of the algorithm depends on the accurate evaluation of these signs and roots. In this paper, we present a {\em naive precision-driven computational model\/} to perform these computations reliably and demonstrate its effectiveness on a certain class of problems like sign of determinants with rational entries, boundary evaluation and curve arrangements. We also present a novel algorithm to compute all the roots of a univariate polynomial to any desired accuracy. The computational model along with the underlying number representation, precision-driven arithmetic and all the algorithms are implemented as part of a stand-alone software library, PRECISE.", acknowledgement = ack-nhfb, } @Book{Majewski:2002:MPC, author = "Miroslaw Majewski", title = "{MuPAD Pro} computing essentials", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 456", year = "2002", ISBN = "3-540-43574-3 (softcover)", ISBN-13 = "978-3-540-43574-7 (softcover)", LCCN = "QA76.95 .M35 2002", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.mupad.com/majewski/edition1/", acknowledgement = ack-nhfb, subject = "MuPAD; Mathematics; Data processing; Mathematics; Study and teaching (Higher)", } @InProceedings{Dupont:2003:NOP, author = "Laurent Dupont and Daniel Lazard and Sylvain Lazard and Sylvain Petitjean", title = "Near-optimal parameterization of the intersection of quadrics", crossref = "ACM:2003:PNA", pages = "246--255", year = "2003", DOI = "https://doi.org/10.1145/777792.777830", bibdate = "Tue Oct 18 05:33:33 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "In this paper, we present the first exact, robust and practical method for computing an explicit representation of the intersection of two arbitrary quadrics whose coefficients are rational. Combining results from the theory of quadratic forms, linear algebra and number theory, we show how to obtain parametric intersection curves that are near-optimal in the number and depth of radicals involved.", acknowledgement = ack-nhfb, keywords = "MuPAD", } @Article{Fateman:2003:CSP, author = "Richard Fateman", title = "Comparing the speed of programs for sparse polynomial multiplication", journal = j-SIGSAM, volume = "37", number = "1", pages = "4--15", month = mar, year = "2003", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/844076.844080", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Thu Aug 7 07:11:53 MDT 2003", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "How should one design and implement a program for the multiplication of sparse polynomials? This is a simple question, necessarily addressed by the builders of any computer algebra system (CAS). To examine a few options we start with a single easily-stated computation which we believe represents a useful benchmark of ``medium difficulty'' for CAS designs. We describe a number of design options and their effects on performance. We also examine the performance of a variety of commercial and freely-distributed systems. Important considerations include the cost of high-precision (exact) integer arithmetic and the effective use of cache memory.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "143", } @Book{Grabmeier:2003:CAH, editor = "Johannes Grabmeier and Erich Kaltofen and Volker Weispfenning", title = "Computer algebra handbook: foundations, applications, systems", publisher = pub-SV, address = pub-SV:adr, pages = "xx + 637", year = "2003", ISBN = "3-540-65466-6", ISBN-13 = "978-3-540-65466-7", LCCN = "QA155.7.E4 C64954 2003", MRclass = "68W30, 00B15, 68-06", bibdate = "Tue Nov 22 06:00:25 MST 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", note = "Includes CD-ROM.", URL = "http://www.springer.com/sgw/cda/frontpage/0,11855,1-102-22-1477871-0,00.html", acknowledgement = ack-nhfb, keywords = "Aldor; AXIOM; Derive; exact arithmetic; Macsyma; Magma; Maple Mathematica; MuPAD; REDUCE; TI-92", subject = "Algebra; Data processing", } @InProceedings{Wang:2003:WTW, author = "Paul S. Wang and Norbert Kajler and Yi Zhou and Xiao Zou", title = "{WME}: towards a {Web} for mathematics education", crossref = "ACM:2003:IPI", year = "2003", DOI = "https://doi.org/10.1145/860854.860906", bibdate = "Tue Oct 18 06:21:38 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "Reported is an approach for {Web-based Mathematics Education\/} (WME). The WME framework is a distributed system that aims to create a Web for mathematics education. Components of the WME framework include the {Mathematics Education Markup Language\/} (MeML) for page markup, regular Web servers to deliver pages, WME Page Processors to enable common Web browsers to receive MeML pages, and a variety of WME services (mathematical and educational) to supply power and interactivity to MeML pages. The MeML language supports the creation of efficient, effective, and dynamic mathematics education content. The WME architecture is designed so that mathematics education contents (static and/or dynamic) and remote WME services can be built independently, maintained independently, deployed easily, and still interoperate and reinforce one another on a global scale.", acknowledgement = ack-nhfb, keywords = "MuPAD", } @Article{Ballarin:2004:SPL, author = "Clemens Ballarin and Manuel Kauers", title = "Solving parametric linear systems: an experiment with constraint algebraic programming", journal = j-SIGSAM, volume = "38", number = "2", pages = "33--46", month = jun, year = "2004", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/1041791.1041793", ISSN = "0163-5824 (print), 1557-9492 (electronic)", ISSN-L = "0163-5824", bibdate = "Wed Apr 27 19:30:35 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "Algorithms in computer algebra are usually designed for a fixed set of domains. For example, algorithms over the domain of polynomials are not applicable to parameters because the inherent assumption that the indeterminate X bears no algebraic relation to other objects is violated.We propose to use a technique from model theory known as constraint programming to gain more flexibility, and we show how it can be applied to the Gaussian algorithm to be used for parametric systems. Our experiments suggest that in practice this leads to results comparable to the algorithm for parametric linear systems by Sit [9] --- at least if the parameters are sparse.", acknowledgement = ack-nhfb, fjournal = "SIGSAM Bulletin", issue = "148", keywords = "MuPAD", } @InProceedings{Chan:2004:NLS, author = "L. Chan and E. S. Cheb-Terrab", title = "Non-{Liouvillian} solutions for second order linear {ODEs}", crossref = "Gutierrez:2004:IJU", pages = "80--86", year = "2004", DOI = "https://doi.org/10.1145/1005285.1005299", bibdate = "Tue Oct 18 06:14:39 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 second order equations of that type found in Kamke's book, for instance, 51\% of them admit Liouvillian solutions and so are solvable using Kovacic's algorithm. On the other hand, special function solutions not admitting Liouvillian form appear frequently in mathematical physics, but there are not so general algorithms for computing them. In this paper we present an algorithm for computing special function solutions which can be expressed using the {${}_2 F + 1$}, {${}_1 F_1$} or {${}_0 F_1$} hypergeometric functions. The algorithm is easy to implement in the framework of a computer algebra system and systematically solves 91\% of the 363 Kamke's linear ODE examples mentioned.", acknowledgement = ack-nhfb, keywords = "MuPAD", } @Book{Creutzig:2004:MT, author = "Christopher Creutzig and W. (Walter) Oevel", title = "{MuPAD} tutorial", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xiii + 412", year = "2004", ISBN = "3-540-22184-0", ISBN-13 = "978-3-540-22184-5", LCCN = "QA76.95 .C74 2004", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, subject = "MuPAD; Mathematics; Data processing", } @InProceedings{Lazard:2004:IQE, author = "S. Lazard and L. M. Pe{\~n}aranda and S. Petitjean", booktitle = "{Proceedings of the Twentieth Annual Symposium on Computational Geometry (SCG '04): June 9--11, 2004, Brooklyn, New York, USA}", title = "Intersecting quadrics: an efficient and exact implementation", publisher = pub-ACM, address = pub-ACM:adr, pages = "419--428", year = "2004", ISBN = "1-58113-885-7", ISBN-13 = "978-1-58113-885-6", LCCN = "QA448.D38", bibdate = "Tue Oct 18 05:57:21 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "We present the first complete, exact and efficient C++ implementation of a method for parameterizing the intersection of two implicit quadrics with integer coefficients of arbitrary size. It is based on the near-optimal algorithm recently introduced by Dupont et al., [2]. Unlike existing implementations, it correctly identifies and parameterizes all the connected components of the intersection in all cases, returning parameterizations with rational functions whenever such parameterizations exist. In addition, the coefficient fields of the parameterizations are either minimal or involve one possibly unneeded square root. We prove upper bounds on the size of the coefficients of the output parameterization and compare these bounds to observed values. We give other experimental results and present some examples.", acknowledgement = ack-nhfb, bookpages = "viii + 460", keywords = "MuPAD", } @Book{Majewski:2004:MPC, author = "Miroslaw Majewski", title = "{MuPAD Pro} computing essentials", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xi + 538", year = "2004", ISBN = "3-540-21943-9", ISBN-13 = "978-3-540-21943-9", LCCN = "QA76.95 M35 2004", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.mupad.com/majewski/edition2/", acknowledgement = ack-nhfb, subject = "MuPAD; Mathematics; Data processing; Mathematics; Study and teaching (Higher)", } @Article{Roanes-Lozano:2004:GAS, author = "Eugenio Roanes-Lozano and Eugenio Roanes-Mac{\'\i}as and Luis M. Laita", title = "The Geometry of Algebraic Systems and Their Exact Solving Using {Gr{\"o}bner} Bases", journal = j-COMPUT-SCI-ENG, volume = "6", number = "2", pages = "76--79", month = mar # "\slash " # apr, year = "2004", CODEN = "CSENFA", ISSN = "1521-9615 (print), 1558-366X (electronic)", ISSN-L = "1521-9615", bibdate = "Sat May 14 13:11:42 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://csdl.computer.org/comp/mags/cs/2004/02/c2076abs.htm; http://csdl.computer.org/dl/mags/cs/2004/02/c2076.htm; http://csdl.computer.org/dl/mags/cs/2004/02/c2076.pdf", abstract = "Although exact methods for solving general polynomial systems are incorporated into well-known computer algebra systems such as Derive, Maple, Mathematica, MuPad, and Reduce, only a small portion of the scientific community knows about them. This article introduces one such method --- Gr{\"o}bner bases --- for non-mathematicians in an intuitive way. Specifically, we show the analogies and differences between linear and algebraic system solving, with an emphasis on the underlying geometric aspects.", acknowledgement = ack-nhfb, fjournal = "Computing in Science and Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992", keywords = "MuPAD", } @Book{Majewski:2005:GSM, author = "Miroslaw Majewski", title = "Getting started with {MUPAD}", publisher = pub-SV, address = pub-SV:adr, pages = "270 (est.)", year = "2005", ISBN = "3-540-28635-7 (softcover)", ISBN-13 = "978-3-540-28635-6 (softcover)", bibdate = "Mon Oct 17 18:51:48 MDT 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.mupad.com/majewski/starters/", acknowledgement = ack-nhfb, } @Book{Majewski:2005:MDN, author = "Miroslaw Majewski", title = "{MuPAD} dla niecierpliwych. ({Polish}) [{MuPAD} for the impatient]", publisher = "Edukacja z TI", address = "????, Poland", pages = "200 (est.)", year = "2005", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Oct 18 08:11:39 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.mupad.com/mathpad/", acknowledgement = ack-nhfb, language = "Polish", } @InProceedings{Zapotinschi:2006:TLP, author = "Radu Zapotinschi and Dorina Peter", editor = "Viorel Negru and others", booktitle = "{SYNASC 2006: Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing: proceedings: 26-29 September, 2006, Timisoara, Romania}", title = "A Two-Level Programming Approach to Volume Propagation in Higher-Dimensional Spaces", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "41--46", year = "2006", ISBN = "0-7695-2740-X", ISBN-13 = "978-0-7695-2740-6", LCCN = "Q183.9 .I65 2006", bibdate = "Tue Sep 13 09:58:20 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "IEEE Computer Society Order number P2740.", abstract = "A set of algorithms designed for the analysis of phase-space perturbation propagation in dynamical systems is presented. The most important tasks are approximate volume estimation and determining the subset of the perturbation surface that is tangent to current lines. The algorithms are developed in a generic, dimension-independent fashion, but they can be partially evaluated with respect to the dimension of the space, yielding dimension specific, efficient algorithms. The MuPAD implementation of the algorithms and supporting libraries is also discussed.", acknowledgement = ack-nhfb, bookpages = "xiv + 446", } @Article{Thiery:2008:IAC, author = "Nicolas M. Thiery", title = "Implementing Algebraic Combinatorics: Some feedback from the development of {MuPAD--Combinat} (abstract only)", journal = j-ACM-COMM-COMP-ALGEBRA, volume = "42", number = "1--2", pages = "20--20", month = mar # "/" # jun, year = "2008", CODEN = "????", DOI = "https://doi.org/10.1145/1394042.1394057", ISSN = "1932-2232 (print), 1932-2240 (electronic)", ISSN-L = "1932-2232", bibdate = "Tue Aug 12 17:30:40 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/mupad.bib", abstract = "MuPAD-Combinat is an open-source algebraic combinatorics package for the computer algebra system MuPAD. Its main purpose is to provide an extensible toolbox for computer exploration, and to foster code sharing between researchers in this area. The development started in 2001, and it now contains functions to deal with most usual combinatorial classes (partitions, tableaux, decomposable classes, ...). It also supplies the user with tools for constructing new combinatorial classes and combinatorial (Hopf) algebras. As an application, it provides well-known combinatorial Hopf algebras like the algebra of symmetric functions and many generalizations. There is also experimental support for combinatorial Lie algebras, operads, (affine) Weyl groups, crystals, Schubert polynomials, invariant rings, ... Altogether, MuPAD-Combinat played a central role in 25+ publications with more than a dozen contributors. In this talk, we first demonstrate the main functionalities of the package and present some typical applications. Based on that, we discuss its design, successes and flaws, and its future. Feel free to contact the speaker if you would like to get some first hand experience through an informal tutorial, and bring your laptop if you have one.", acknowledgement = ack-nhfb, fjournal = "ACM Communications in Computer Algebra", } @InProceedings{Augusta:2009:PLN, author = "P. Augusta and Z. Hurak", editor = "{IEEE}", booktitle = "International Workshop on Multidimensional (nD) Systems, 2009. nDS 2009, Aristotle University of Thessaloniki, Thessaloniki, Greece, June 29 2009--July 1 2009", title = "{Polmat} library now within {Symbolic Math Toolbox} for {Matlab} in multidimensional systems computations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2009", DOI = "https://doi.org/10.1109/NDS.2009.5191494", ISBN = "1-4244-2797-5", ISBN-13 = "978-1-4244-2797-0", LCCN = "????", bibdate = "Tue Sep 13 10:05:19 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "IEEE catalog number CFP09612.", abstract = "This paper demonstrates convenient use of freely available Polmat library for computations with transfer function models of multidimensional systems within Matlab environment. Polmat functions rely on MuPAD, a computer algebra system, which has become the core engine for symbolic computations in Matlab. Basic manipulations with multivariate two-sided polynomials are illustrated, test of stability of spatially distributed systems and solution of linear (Diophantine) equations with multivariate polynomials are demonstrated by means of a few examples.", acknowledgement = ack-nhfb, book-URL = "http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5174547", bookpages = "????", } @Book{Beebe:2017:MFC, author = "Nelson H. F. Beebe", title = "The Mathematical-Function Computation Handbook: Programming Using the {MathCW} Portable Software Library", publisher = pub-SV, address = pub-SV:adr, pages = "xxxvi + 1114", year = "2017", DOI = "https://doi.org/10.1007/978-3-319-64110-2", ISBN = "3-319-64109-3 (hardcover), 3-319-64110-7 (e-book)", ISBN-13 = "978-3-319-64109-6 (hardcover), 978-3-319-64110-2 (e-book)", LCCN = "QA75.5-76.95", bibdate = "Sat Jul 15 19:34:43 MDT 2017", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/b/beebe-nelson-h-f.bib; http://www.math.utah.edu/pub/tex/bib/axiom.bib; http://www.math.utah.edu/pub/tex/bib/cryptography2010.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/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib; http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/mupad.bib; http://www.math.utah.edu/pub/tex/bib/numana2010.bib; http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/redbooks.bib", URL = "http://www.springer.com/us/book/9783319641096", acknowledgement = ack-nhfb, tableofcontents = "List of figures / xxv \\ List of tables / xxxi \\ Quick start / xxxv \\ 1: Introduction / 1 \\ 1.1: Programming conventions / 2 \\ 1.2: Naming conventions / 4 \\ 1.3: Library contributions and coverage / 5 \\ 1.4: Summary / 6 \\ 2: Iterative solutions and other tools / 7 \\ 2.1: Polynomials and Taylor series / 7 \\ 2.2: First-order Taylor series approximation / 8 \\ 2.3: Second-order Taylor series approximation / 9 \\ 2.4: Another second-order Taylor series approximation / 9 \\ 2.5: Convergence of second-order methods / 10 \\ 2.6: Taylor series for elementary functions / 10 \\ 2.7: Continued fractions / 12 \\ 2.8: Summation of continued fractions / 17 \\ 2.9: Asymptotic expansions / 19 \\ 2.10: Series inversion / 20 \\ 2.11: Summary / 22 \\ 3: Polynomial approximations / 23 \\ 3.1: Computation of odd series / 23 \\ 3.2: Computation of even series / 25 \\ 3.3: Computation of general series / 25 \\ 3.4: Limitations of Cody\slash Waite polynomials / 28 \\ 3.5: Polynomial fits with Maple / 32 \\ 3.6: Polynomial fits with Mathematica / 33 \\ 3.7: Exact polynomial coefficients / 42 \\ 3.8: Cody\slash Waite rational polynomials / 43 \\ 3.9: Chebyshev polynomial economization / 43 \\ 3.10: Evaluating Chebyshev polynomials / 48 \\ 3.11: Error compensation in Chebyshev fits / 50 \\ 3.12: Improving Chebyshev fits / 51 \\ 3.13: Chebyshev fits in rational form / 52 \\ 3.14: Chebyshev fits with Mathematica / 56 \\ 3.15: Chebyshev fits for function representation / 57 \\ 3.16: Extending the library / 57 \\ 3.17: Summary and further reading / 58 \\ 4: Implementation issues / 61 \\ 4.1: Error magnification / 61 \\ 4.2: Machine representation and machine epsilon / 62 \\ 4.3: IEEE 754 arithmetic / 63 \\ 4.4: Evaluation order in C / 64 \\ 4.5: The {\tt volatile} type qualifier / 65 \\ 4.6: Rounding in floating-point arithmetic / 66 \\ 4.7: Signed zero / 69 \\ 4.8: Floating-point zero divide / 70 \\ 4.9: Floating-point overflow / 71 \\ 4.10: Integer overflow / 72 \\ 4.11: Floating-point underflow / 77 \\ 4.12: Subnormal numbers / 78 \\ 4.13: Floating-point inexact operation / 79 \\ 4.14: Floating-point invalid operation / 79 \\ 4.15: Remarks on NaN tests / 80 \\ 4.16: Ulps --- units in the last place / 81 \\ 4.17: Fused multiply-add / 85 \\ 4.18: Fused multiply-add and polynomials / 88 \\ 4.19: Significance loss / 89 \\ 4.20: Error handling and reporting / 89 \\ 4.21: Interpreting error codes / 93 \\ 4.22: C99 changes to error reporting / 94 \\ 4.23: Error reporting with threads / 95 \\ 4.24: Comments on error reporting / 95 \\ 4.25: Testing function implementations / 96 \\ 4.26: Extended data types on Hewlett--Packard HP-UX IA-64 / 100 \\ 4.27: Extensions for decimal arithmetic / 101 \\ 4.28: Further reading / 103 \\ 4.29: Summary / 104 \\ 5: The floating-point environment / 105 \\ 5.1: IEEE 754 and programming languages / 105 \\ 5.2: IEEE 754 and the mathcw library / 106 \\ 5.3: Exceptions and traps / 106 \\ 5.4: Access to exception flags and rounding control / 107 \\ 5.5: The environment access pragma / 110 \\ 5.6: Implementation of exception-flag and rounding-control access / 110 \\ 5.7: Using exception flags: simple cases / 112 \\ 5.8: Using rounding control / 115 \\ 5.9: Additional exception flag access / 116 \\ 5.10: Using exception flags: complex case / 120 \\ 5.11: Access to precision control / 123 \\ 5.12: Using precision control / 126 \\ 5.13: Summary / 127 \\ 6: Converting floating-point values to integers / 129 \\ 6.1: Integer conversion in programming languages / 129 \\ 6.2: Programming issues for conversions to integers / 130 \\ 6.3: Hardware out-of-range conversions / 131 \\ 6.4: Rounding modes and integer conversions / 132 \\ 6.5: Extracting integral and fractional parts / 132 \\ 6.6: Truncation functions / 135 \\ 6.7: Ceiling and floor functions / 136 \\ 6.8: Floating-point rounding functions with fixed rounding / 137 \\ 6.9: Floating-point rounding functions: current rounding / 138 \\ 6.10: Floating-point rounding functions without {\em inexact\/} exception / 139 \\ 6.11: Integer rounding functions with fixed rounding / 140 \\ 6.12: Integer rounding functions with current rounding / 142 \\ 6.13: Remainder / 143 \\ 6.14: Why the remainder functions are hard / 144 \\ 6.15: Computing {\tt fmod} / 146 \\ 6.16: Computing {\tt remainder} / 148 \\ 6.17: Computing {\tt remquo} / 150 \\ 6.18: Computing one remainder from the other / 152 \\ 6.19: Computing the remainder in nonbinary bases / 155 \\ 6.20: Summary / 156 \\ 7: Random numbers / 157 \\ 7.1: Guidelines for random-number software / 157 \\ 7.2: Creating generator seeds / 158 \\ 7.3: Random floating-point values / 160 \\ 7.4: Random integers from floating-point generator / 165 \\ 7.5: Random integers from an integer generator / 166 \\ 7.6: Random integers in ascending order / 168 \\ 7.7: How random numbers are generated / 169 \\ 7.8: Removing generator bias / 178 \\ 7.9: Improving a poor random number generator / 178 \\ 7.10: Why long periods matter / 179 \\ 7.11: Inversive congruential generators / 180 \\ 7.12: Inversive congruential generators, revisited / 189 \\ 7.13: Distributions of random numbers / 189 \\ 7.14: Other distributions / 195 \\ 7.15: Testing random-number generators / 196 \\ 7.16: Applications of random numbers / 202 \\ 7.17: The \textsf {mathcw} random number routines / 208 \\ 7.18: Summary, advice, and further reading / 214 \\ 8: Roots / 215 \\ 8.1: Square root / 215 \\ 8.2: Hypotenuse and vector norms / 222 \\ 8.3: Hypotenuse by iteration / 227 \\ 8.4: Reciprocal square root / 233 \\ 8.5: Cube root / 237 \\ 8.6: Roots in hardware / 240 \\ 8.7: Summary / 242 \\ 9: Argument reduction / 243 \\ 9.1: Simple argument reduction / 243 \\ 9.2: Exact argument reduction / 250 \\ 9.3: Implementing exact argument reduction / 253 \\ 9.4: Testing argument reduction / 265 \\ 9.5: Retrospective on argument reduction / 265 \\ 10: Exponential and logarithm / 267 \\ 10.1: Exponential functions / 267 \\ 10.2: Exponential near zero / 273 \\ 10.3: Logarithm functions / 282 \\ 10.4: Logarithm near one / 290 \\ 10.5: Exponential and logarithm in hardware / 292 \\ 10.6: Compound interest and annuities / 294 \\ 10.7: Summary / 298 \\ 11: Trigonometric functions / 299 \\ 11.1: Sine and cosine properties / 299 \\ 11.2: Tangent properties / 302 \\ 11.3: Argument conventions and units / 304 \\ 11.4: Computing the cosine and sine / 306 \\ 11.5: Computing the tangent / 310 \\ 11.6: Trigonometric functions in degrees / 313 \\ 11.7: Trigonometric functions in units of $ \pi $ / 315 \\ 11.8: Computing the cosine and sine together / 320 \\ 11.9: Inverse sine and cosine / 323 \\ 11.10: Inverse tangent / 331 \\ 11.11: Inverse tangent, take two / 336 \\ 11.12: Trigonometric functions in hardware / 338 \\ 11.13: Testing trigonometric functions / 339 \\ 11.14: Retrospective on trigonometric functions / 340 \\ 12: Hyperbolic functions / 341 \\ 12.1: Hyperbolic functions / 341 \\ 12.2: Improving the hyperbolic functions / 345 \\ 12.3: Computing the hyperbolic functions together / 348 \\ 12.4: Inverse hyperbolic functions / 348 \\ 12.5: Hyperbolic functions in hardware / 350 \\ 12.6: Summary / 352 \\ 13: Pair-precision arithmetic / 353 \\ 13.1: Limitations of pair-precision arithmetic / 354 \\ 13.2: Design of the pair-precision software interface / 355 \\ 13.3: Pair-precision initialization / 356 \\ 13.4: Pair-precision evaluation / 357 \\ 13.5: Pair-precision high part / 357 \\ 13.6: Pair-precision low part / 357 \\ 13.7: Pair-precision copy / 357 \\ 13.8: Pair-precision negation / 358 \\ 13.9: Pair-precision absolute value / 358 \\ 13.10: Pair-precision sum / 358 \\ 13.11: Splitting numbers into pair sums / 359 \\ 13.12: Premature overflow in splitting / 362 \\ 13.13: Pair-precision addition / 365 \\ 13.14: Pair-precision subtraction / 367 \\ 13.15: Pair-precision comparison / 368 \\ 13.16: Pair-precision multiplication / 368 \\ 13.17: Pair-precision division / 371 \\ 13.18: Pair-precision square root / 373 \\ 13.19: Pair-precision cube root / 377 \\ 13.20: Accuracy of pair-precision arithmetic / 379 \\ 13.21: Pair-precision vector sum / 384 \\ 13.22: Exact vector sums / 385 \\ 13.23: Pair-precision dot product / 385 \\ 13.24: Pair-precision product sum / 386 \\ 13.25: Pair-precision decimal arithmetic / 387 \\ 13.26: Fused multiply-add with pair precision / 388 \\ 13.27: Higher intermediate precision and the FMA / 393 \\ 13.28: Fused multiply-add without pair precision / 395 \\ 13.29: Fused multiply-add with multiple precision / 401 \\ 13.30: Fused multiply-add, Boldo/\penalty \exhyphenpenalty Melquiond style / 403 \\ 13.31: Error correction in fused multiply-add / 406 \\ 13.32: Retrospective on pair-precision arithmetic / 407 \\ 14: Power function / 411 \\ 14.1: Why the power function is hard to compute / 411 \\ 14.2: Special cases for the power function / 412 \\ 14.3: Integer powers / 414 \\ 14.4: Integer powers, revisited / 420 \\ 14.5: Outline of the power-function algorithm / 421 \\ 14.6: Finding $a$ and $p$ / 423 \\ 14.7: Table searching / 424 \\ 14.8: Computing $\log_n(g/a)$ / 426 \\ 14.9: Accuracy required for $\log_n(g/a)$ / 429 \\ 14.10: Exact products / 430 \\ 14.11: Computing $w$, $w_1$ and $w_2$ / 433 \\ 14.12: Computing $n^{w_2}$ / 437 \\ 14.13: The choice of $q$ / 438 \\ 14.14: Testing the power function / 438 \\ 14.15: Retrospective on the power function / 440 \\ 15: Complex arithmetic primitives / 441 \\ 15.1: Support macros and type definitions / 442 \\ 15.2: Complex absolute value / 443 \\ 15.3: Complex addition / 445 \\ 15.4: Complex argument / 445 \\ 15.5: Complex conjugate / 446 \\ 15.6: Complex conjugation symmetry / 446 \\ 15.7: Complex conversion / 448 \\ 15.8: Complex copy / 448 \\ 15.9: Complex division: C99 style / 449 \\ 15.10: Complex division: Smith style / 451 \\ 15.11: Complex division: Stewart style / 452 \\ 15.12: Complex division: Priest style / 453 \\ 15.13: Complex division: avoiding subtraction loss / 455 \\ 15.14: Complex imaginary part / 456 \\ 15.15: Complex multiplication / 456 \\ 15.16: Complex multiplication: error analysis / 458 \\ 15.17: Complex negation / 459 \\ 15.18: Complex projection / 460 \\ 15.19: Complex real part / 460 \\ 15.20: Complex subtraction / 461 \\ 15.21: Complex infinity test / 462 \\ 15.22: Complex NaN test / 462 \\ 15.23: Summary / 463 \\ 16: Quadratic equations / 465 \\ 16.1: Solving quadratic equations / 465 \\ 16.2: Root sensitivity / 471 \\ 16.3: Testing a quadratic-equation solver / 472 \\ 16.4: Summary / 474 \\ 17: Elementary functions in complex arithmetic / 475 \\ 17.1: Research on complex elementary functions / 475 \\ 17.2: Principal values / 476 \\ 17.3: Branch cuts / 476 \\ 17.4: Software problems with negative zeros / 478 \\ 17.5: Complex elementary function tree / 479 \\ 17.6: Series for complex functions / 479 \\ 17.7: Complex square root / 480 \\ 17.8: Complex cube root / 485 \\ 17.9: Complex exponential / 487 \\ 17.10: Complex exponential near zero / 492 \\ 17.11: Complex logarithm / 495 \\ 17.12: Complex logarithm near one / 497 \\ 17.13: Complex power / 500 \\ 17.14: Complex trigonometric functions / 502 \\ 17.15: Complex inverse trigonometric functions / 504 \\ 17.16: Complex hyperbolic functions / 509 \\ 17.17: Complex inverse hyperbolic functions / 514 \\ 17.18: Summary / 520 \\ 18: The Greek functions: gamma, psi, and zeta / 521 \\ 18.1: Gamma and log-gamma functions / 521 \\ 18.2: The {\tt psi} and {\tt psiln} functions / 536 \\ 18.3: Polygamma functions / 547 \\ 18.4: Incomplete gamma functions / 560 \\ 18.5: A Swiss diversion: Bernoulli and Euler / 568 \\ 18.6: An Italian excursion: Fibonacci numbers / 575 \\ 18.7: A German gem: the Riemann zeta function / 579 \\ 18.8: Further reading / 590 \\ 18.9: Summary / 591 \\ 19: Error and probability functions / 593 \\ 19.1: Error functions / 593 \\ 19.2: Scaled complementary error function / 598 \\ 19.3: Inverse error functions / 600 \\ 19.4: Normal distribution functions and inverses / 610 \\ 19.5: Summary / 617 \\ 20: Elliptic integral functions / 619 \\ 20.1: The arithmetic-geometric mean / 619 \\ 20.2: Elliptic integral functions of the first kind / 624 \\ 20.3: Elliptic integral functions of the second kind / 627 \\ 20.4: Elliptic integral functions of the third kind / 630 \\ 20.5: Computing $K(m)$ and $K'(m)$ / 631 \\ 20.6: Computing $E(m)$ and $E'(m)$ / 637 \\ 20.7: Historical algorithms for elliptic integrals / 643 \\ 20.8: Auxiliary functions for elliptic integrals / 645 \\ 20.9: Computing the elliptic auxiliary functions / 648 \\ 20.10: Historical elliptic functions / 650 \\ 20.11: Elliptic functions in software / 652 \\ 20.12: Applications of elliptic auxiliary functions / 653 \\ 20.13: Elementary functions from elliptic auxiliary functions / 654 \\ 20.14: Computing elementary functions via $R_C(x,y)$ / 655 \\ 20.15: Jacobian elliptic functions / 657 \\ 20.16: Inverses of Jacobian elliptic functions / 664 \\ 20.17: The modulus and the nome / 668 \\ 20.18: Jacobian theta functions / 673 \\ 20.19: Logarithmic derivatives of the Jacobian theta functions / 675 \\ 20.20: Neville theta functions / 678 \\ 20.21: Jacobian Eta, Theta, and Zeta functions / 679 \\ 20.22: Weierstrass elliptic functions / 682 \\ 20.23: Weierstrass functions by duplication / 689 \\ 20.24: Complete elliptic functions, revisited / 690 \\ 20.25: Summary / 691 \\ 21: Bessel functions / 693 \\ 21.1: Cylindrical Bessel functions / 694 \\ 21.2: Behavior of $J_n(x)$ and $Y_n(x)$ / 695 \\ 21.3: Properties of $J_n(z)$ and $Y_n(z)$ / 697 \\ 21.4: Experiments with recurrences for $J_0(x)$ / 705 \\ 21.5: Computing $J_0(x)$ and $J_1(x)$ / 707 \\ 21.6: Computing $J_n(x)$ / 710 \\ 21.7: Computing $Y_0(x)$ and $Y_1(x)$ / 713 \\ 21.8: Computing $Y_n(x)$ / 715 \\ 21.9: Improving Bessel code near zeros / 716 \\ 21.10: Properties of $I_n(z)$ and $K_n(z)$ / 718 \\ 21.11: Computing $I_0(x)$ and $I_1(x)$ / 724 \\ 21.12: Computing $K_0(x)$ and $K_1(x)$ / 726 \\ 21.13: Computing $I_n(x)$ and $K_n(x)$ / 728 \\ 21.14: Properties of spherical Bessel functions / 731 \\ 21.15: Computing $j_n(x)$ and $y_n(x)$ / 735 \\ 21.16: Improving $j_1(x)$ and $y_1(x)$ / 740 \\ 21.17: Modified spherical Bessel functions / 743 \\ 21.18: Software for Bessel-function sequences / 755 \\ 21.19: Retrospective on Bessel functions / 761 \\ 22: Testing the library / 763 \\ 22.1: Testing {\tt tgamma} and {\tt lgamma} / 765 \\ 22.2: Testing {\tt psi} and {\tt psiln} / 768 \\ 22.3: Testing {\tt erf} and {\tt erfc} / 768 \\ 22.4: Testing cylindrical Bessel functions / 769 \\ 22.5: Testing exponent/\penalty \exhyphenpenalty significand manipulation / 769 \\ 22.6: Testing inline assembly code / 769 \\ 22.7: Testing with Maple / 770 \\ 22.8: Testing floating-point arithmetic / 773 \\ 22.9: The Berkeley Elementary Functions Test Suite / 774 \\ 22.10: The AT\&T floating-point test package / 775 \\ 22.11: The Antwerp test suite / 776 \\ 22.12: Summary / 776 \\ 23: Pair-precision elementary functions / 777 \\ 23.1: Pair-precision integer power / 777 \\ 23.2: Pair-precision machine epsilon / 779 \\ 23.3: Pair-precision exponential / 780 \\ 23.4: Pair-precision logarithm / 787 \\ 23.5: Pair-precision logarithm near one / 793 \\ 23.6: Pair-precision exponential near zero / 793 \\ 23.7: Pair-precision base-$n$ exponentials / 795 \\ 23.8: Pair-precision trigonometric functions / 796 \\ 23.9: Pair-precision inverse trigonometric functions / 801 \\ 23.10: Pair-precision hyperbolic functions / 804 \\ 23.11: Pair-precision inverse hyperbolic functions / 808 \\ 23.12: Summary / 808 \\ 24: Accuracy of the Cody\slash Waite algorithms / 811 \\ 25: Improving upon the Cody\slash Waite algorithms / 823 \\ 25.1: The Bell Labs libraries / 823 \\ 25.2: The {Cephes} library / 823 \\ 25.3: The {Sun} libraries / 824 \\ 25.4: Mathematical functions on EPIC / 824 \\ 25.5: The GNU libraries / 825 \\ 25.6: The French libraries / 825 \\ 25.7: The NIST effort / 826 \\ 25.8: Commercial mathematical libraries / 826 \\ 25.9: Mathematical libraries for decimal arithmetic / 826 \\ 25.10: Mathematical library research publications / 826 \\ 25.11: Books on computing mathematical functions / 827 \\ 25.12: Summary / 828 \\ 26: Floating-point output / 829 \\ 26.1: Output character string design issues / 830 \\ 26.2: Exact output conversion / 831 \\ 26.3: Hexadecimal floating-point output / 832 \\ 26.4: Octal floating-point output / 850 \\ 26.5: Binary floating-point output / 851 \\ 26.6: Decimal floating-point output / 851 \\ 26.7: Accuracy of output conversion / 865 \\ 26.8: Output conversion to a general base / 865 \\ 26.9: Output conversion of Infinity / 866 \\ 26.10: Output conversion of NaN / 866 \\ 26.11: Number-to-string conversion / 867 \\ 26.12: The {\tt printf} family / 867 \\ 26.13: Summary / 878 \\ 27: Floating-point input / 879 \\ 27.1: Binary floating-point input / 879 \\ 27.2: Octal floating-point input / 894 \\ 27.3: Hexadecimal floating-point input / 895 \\ 27.4: Decimal floating-point input / 895 \\ 27.5: Based-number input / 899 \\ 27.6: General floating-point input / 900 \\ 27.7: The {\tt scanf} family / 901 \\ 27.8: Summary / 910 \\ A: Ada interface / 911 \\ A.1: Building the Ada interface / 911 \\ A.2: Programming the Ada interface / 912 \\ A.3: Using the Ada interface / 915 \\ B: C\# interface / 917 \\ B.1: C\# on the CLI virtual machine / 917 \\ B.2: Building the C\# interface / 918 \\ B.3: Programming the C\# interface / 920 \\ B.4: Using the C\# interface / 922 \\ C: C++ interface / 923 \\ C.1: Building the C++ interface / 923 \\ C.2: Programming the C++ interface / 924 \\ C.3: Using the C++ interface / 925 \\ D: Decimal arithmetic / 927 \\ D.1: Why we need decimal floating-point arithmetic / 927 \\ D.2: Decimal floating-point arithmetic design issues / 928 \\ D.3: How decimal and binary arithmetic differ / 931 \\ D.4: Initialization of decimal floating-point storage / 935 \\ D.5: The {\tt <decfloat.h>} header file / 936 \\ D.6: Rounding in decimal arithmetic / 936 \\ D.7: Exact scaling in decimal arithmetic / 937 \\ E: Errata in the Cody\slash Waite book / 939 \\ F: Fortran interface / 941 \\ F.1: Building the Fortran interface / 943 \\ F.2: Programming the Fortran interface / 944 \\ F.3: Using the Fortran interface / 945 \\ H: Historical floating-point architectures / 947 \\ H.1: CDC family / 949 \\ H.2: Cray family / 952 \\ H.3: DEC PDP-10 / 953 \\ H.4: DEC PDP-11 and VAX / 956 \\ H.5: General Electric 600 series / 958 \\ H.6: IBM family / 959 \\ H.7: Lawrence Livermore S-1 Mark IIA / 965 \\ H.8: Unusual floating-point systems / 966 \\ H.9: Historical retrospective / 967 \\ I: Integer arithmetic / 969 \\ I.1: Memory addressing and integers / 971 \\ I.2: Representations of signed integers / 971 \\ I.3: Parity testing / 975 \\ I.4: Sign testing / 975 \\ I.5: Arithmetic exceptions / 975 \\ I.6: Notations for binary numbers / 977 \\ I.7: Summary / 978 \\ J: Java interface / 979 \\ J.1: Building the Java interface / 979 \\ J.2: Programming the Java MathCW class / 980 \\ J.3: Programming the Java C interface / 982 \\ J.4: Using the Java interface / 985 \\ L: Letter notation / 987 \\ P: Pascal interface / 989 \\ P.1: Building the Pascal interface / 989 \\ P.2: Programming the Pascal MathCW module / 990 \\ P.3: Using the Pascal module interface / 993 \\ P.4: Pascal and numeric programming / 994 \\ Bibliography / 995 \\ Author/editor index / 1039 \\ Function and macro index / 1049 \\ Subject index / 1065 \\ Colophon / 1115", }

%%% ==================================================================== %%% Cross-referenced entries must come last.

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Lakshman", booktitle = "{ISSAC '96: proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation: July 24--26, 1996, Z{\"u}rich, Switzerland}", title = "{ISSAC '96: proceedings of the 1996 International Symposium on Symbolic and Algebraic Computation: July 24--26, 1996, Z{\"u}rich, Switzerland}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xvii + 318", year = "1996", ISBN = "0-89791-796-0", ISBN-13 = "978-0-89791-796-4", LCCN = "QA155.7.E4", bibdate = "Tue Oct 18 07:25:37 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{Kaltofen:1997:PPS, editor = "Erich Kaltofen and Markus Hitz", booktitle = "{PASCO '97. Proceedings of the Second International Symposium on Parallel Symbolic Computation, July 20--22, 1997, Maui, HI}", title = "{PASCO '97. Proceedings of the Second International Symposium on Parallel Symbolic Computation, July 20--22, 1997, Maui, HI}", publisher = pub-ACM, address = pub-ACM:adr, pages = "vi + 223", year = "1997", ISBN = "0-89791-951-3", ISBN-13 = "978-0-89791-951-7", LCCN = "QA76.58 .I5674 1997", bibdate = "Thu Mar 12 07:30:53 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{Gloor:1998:IAU, editor = "Oliver Gloor", booktitle = "{ISSAC 98, August 13--15, 1998, University of Rostock, Germany: Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation}", title = "{ISSAC 98, August 13--15, 1998, University of Rostock, Germany: Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xxii + 327", year = "1998", ISBN = "1-58113-002-3", ISBN-13 = "978-1-58113-002-7", LCCN = "QA155.7.E4 E88 1998", bibdate = "Tue Oct 18 07:26:47 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{ACM:1999:IJS, editor = "{ACM}", booktitle = "{ISSAC 99: July 29--31, 1999, Simon Fraser University, Vancouver, BC, Canada: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation}", title = "{ISSAC 99: July 29--31, 1999, Simon Fraser University, Vancouver, BC, Canada: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xxii + 311", year = "1999", ISBN = "1-58113-073-2", ISBN-13 = "978-1-58113-073-7", LCCN = "QA76.95", bibdate = "Tue Oct 18 07:28:00 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{Traverso:2000:IPI, editor = "Carlo Traverso", booktitle = "{ISSAC 2000: Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation: 7--9 August 2000, University of St. Andrews, Scotland}", title = "{ISSAC 2000: Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation: 7--9 August 2000, University of St. Andrews, Scotland}", publisher = pub-ACM, address = pub-ACM:adr, pages = "viii + 309", year = "2000", ISBN = "1-58113-218-2", ISBN-13 = "978-1-58113-218-2", LCCN = "QA 155.7 .E4E88 2000", bibdate = "Tue Oct 18 07:29:00 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib; sirsi.library.utoronto.ca:2200/UNICORN", acknowledgement = ack-nhfb, } @Proceedings{ACM:2001:PSA, editor = "{ACM}", booktitle = "{Proceedings of the Seventeenth Annual Symposium on Computational Geometry (SCG '01): June 3--5, 2001, Medford, Massachusetts, USA}", title = "{Proceedings of the Seventeenth Annual Symposium on Computational Geometry (SCG '01): June 3--5, 2001, Medford, Massachusetts, USA}", publisher = pub-ACM, address = pub-ACM:adr, year = "2001", ISBN = "1-58113-357-X", ISBN-13 = "978-1-58113-357-8", LCCN = "QA448.D38 S96 2001", bibdate = "Tue Oct 18 07:29:48 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{ACM:2003:IPI, editor = "{ACM}", booktitle = "{ISSAC 2003: Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation: August 3--6, 2003, Philadelphia, PA}", title = "{ISSAC 2003: Proceedings of the 2003 International Symposium on Symbolic and Algebraic Computation: August 3--6, 2003, Philadelphia, PA}", publisher = pub-ACM, address = pub-ACM:adr, pages = "x + 273", year = "2003", ISBN = "1-58113-641-2", ISBN-13 = "978-1-58113-641-8", LCCN = "QA76.95", bibdate = "Tue Oct 18 07:31:37 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{ACM:2003:PNA, editor = "{ACM}", booktitle = "{Proceedings of the nineteenth annual Symposium on Computational Geometry (SCG'03): San Diego, California, USA, June 8--10, 2003}", title = "{Proceedings of the nineteenth annual Symposium on Computational Geometry (SCG'03): San Diego, California, USA, June 8--10, 2003}", publisher = pub-ACM, address = pub-ACM:adr, pages = "x + 390", year = "2003", ISBN = "1-58113-663-3 (paperback)", ISBN-13 = "978-1-58113-663-0 (paperback)", LCCN = "QA447 .S95 2003", bibdate = "Tue Oct 18 07:30:47 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{Gutierrez:2004:IJU, editor = "Jaime Gutierrez", booktitle = "{ISAAC 2004: July 4--7, 2004, University of Cantabria, Santander, Spain: Proceedings of the 2004 International Symposium on Symbolic and Algebraic Computation}", title = "{ISAAC 2004: July 4--7, 2004, University of Cantabria, Santander, Spain: Proceedings of the 2004 International Symposium on Symbolic and Algebraic Computation}", publisher = pub-ACM, address = pub-ACM:adr, pages = "xii + 328", year = "2004", ISBN = "1-58113-827-X", ISBN-13 = "978-1-58113-827-6", LCCN = "????", bibdate = "Tue Oct 18 07:32:30 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", acknowledgement = ack-nhfb, } @Proceedings{Anonymous:2005:MFM, editor = "Anonymous", booktitle = "{MathPAD 2005: The Fourth Meeting of MuPAD Users, 4--8 July 2005, Nicholas Copernicus University, Torun, Poland}", title = "{MathPAD 2005: The Fourth Meeting of MuPAD Users, 4--8 July 2005, Nicholas Copernicus University, Torun, Poland}", publisher = "????", address = "????", pages = "????", year = "2005", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Oct 18 08:13:12 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/mupad.bib", URL = "http://www.mat.uni.torun.pl/konferencje/mathpad_2005.html", acknowledgement = ack-nhfb, }