%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.120",
%%% date = "13 June 2009",
%%% time = "11:53:24 MDT",
%%% filename = "maple-extract.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 = "29228 18830 80578 753269",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "bibliography, Maple, symbolic algebra",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This file contains a bibliography of
%%% publications about the Maple symbolic algebra
%%% system. However, it EXCLUDES publications in
%%% the Maple Newsletter, and its successor, the
%%% Maple Technical Newsletter, because those
%%% journals are covered in a companion
%%% bibliography, maple-tech.bib.
%%%
%%% At version 2.120, the year coverage looked
%%% like this:
%%%
%%% 1981 ( 2) 1990 ( 28) 1999 ( 20)
%%% 1982 ( 2) 1991 ( 44) 2000 ( 34)
%%% 1983 ( 8) 1992 ( 64) 2001 ( 34)
%%% 1984 ( 6) 1993 ( 89) 2002 ( 36)
%%% 1985 ( 6) 1994 ( 135) 2003 ( 27)
%%% 1986 ( 7) 1995 ( 100) 2004 ( 17)
%%% 1987 ( 6) 1996 ( 74) 2005 ( 14)
%%% 1988 ( 14) 1997 ( 56) 2006 ( 6)
%%% 1989 ( 20) 1998 ( 36) 2007 ( 2)
%%%
%%% Article: 298
%%% Book: 309
%%% InBook: 1
%%% InCollection: 23
%%% InProceedings: 149
%%% MastersThesis: 8
%%% Misc: 4
%%% Periodical: 1
%%% PhdThesis: 2
%%% Proceedings: 62
%%% TechReport: 30
%%%
%%% Total entries: 887
%%%
%%% Further information about Maple and other
%%% products of Waterloo Maple Software can be
%%% found on the World-Wide Web at URL
%%% http://www.maplesoft.com/.
%%%
%%% Missing data is identified by question marks
%%% in strings; the author will be grateful to
%%% readers who can provide corrections.
%%%
%%% This bibliography is sorted by year, and
%%% within each year, by author and title key,
%%% using ``bibsort -byyear''. Cross-referenced
%%% proceedings entries appear at the end,
%%% because of a restriction in the current
%%% BibTeX.
%%%
%%% A search of MathSciNet in mid-December 1995
%%% turned up 258 bibliographic references to
%%% Maple. After laborious manual conversion
%%% to BibTeX form, correction of errors,
%%% addition of missing data, elimination of
%%% authors named Maple, and elimination of
%%% entries already present in this file, this
%%% work resulted in the addition of 139 new
%%% entries, bringing the total number of
%%% entries to 267. Cross-checking of
%%% libraries and publishers turned up another
%%% 25, pushing the total to 292 at version
%%% 2.22. Because the word Maple often does
%%% not occur in the title in these new
%%% entries, I have added a keywords field to
%%% include that information.
%%%
%%% At version 2.26 [05-Feb-1996], a search of
%%% the OCLC Article1st database resulted in
%%% the addition of 40 new references (out
%%% of a total of 632 articles, most about
%%% maple (forests, sugar, syrup, trees, wood,
%%% ...)), and updating of another 9.
%%%
%%% Regrettably, the OCLC database does not
%%% usually record final page numbers of
%%% journal articles, so there are many page
%%% ranges of the form 123--?? in this
%%% bibliography.
%%%
%%% At version 2.31 [12-Apr-1996], searches of
%%% the OCLC ERIC, GEOBASE, MEDLINE,
%%% PapersFirst, and Proceedings databases, and
%%% the Uncover database, produced 79 new
%%% entries.
%%%
%%% At version 2.44 [18-Dec-1996], searches of
%%% the Compendex databases (1970--1996) added
%%% 27 new entries, and updated 18 others.
%%%
%%% 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 "
# "\ifx \undefined \circled \def \circled #1{(#1)}\fi"
# "\ifx \cprime \undefined \let \cprime = ' \fi"
# "\ifx \cyr \undefined \let \cyr = \relax \fi"
# "\ifx \k \undefined \let \k = \c
\immediate\write16{Ogonek accent unavailable: replaced by cedilla}\fi "
# "\ifx \mhy \undefined \let \mhy = \relax \fi"
# "\ifx \undefined \reg \def \reg {\circled{R}}\fi"
# "\hyphenation{
Fuchs-stein-er
Griep-en
Kath-ryn
Ker-n-i-ghan
Krom-mes
Lar-ra-bee
Pat-rick
Port-able
Post-Script
Pren-tice
Rich-ard
Richt-er
Ro-bert
Sha-mos
Spring-er
The-o-dore
Uz-ga-lis
}"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-ble = "Brian L. Evans,
211-105 Cory Hall,
University of California,
Berkeley, CA 94720-1770,
e-mail: \path|ble@eecs.berkeley.edu|"}
@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-WATERLOO = "University of Waterloo"}
@String{inst-WATERLOO-CS = "Computer Science Department, University of
Waterloo"}
@String{inst-WATERLOO-CS:adr = "Waterloo, Ontario, Canada"}
@String{inst-WATERLOO-ICR = "Institute for Computer Research, University
of Waterloo"}
@String{inst-WATERLOO-ICR:adr = "Waterloo, Ontario, Canada"}
@String{inst-WATERLOO-MATH = "Faculty of Mathematics, University of
Waterloo"}
@String{inst-WATERLOO-MATH:adr = "Waterloo, Ontario, Canada"}
@String{inst-WATERLOO:adr = "Waterloo, Ontario, Canada"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ADV-APPL-PROB = "Adv. Appl. Prob."}
@String{j-AMER-MATH-MONTHLY = "Amer. Math. Monthly"}
@String{j-AMER-STAT = "The American Statistician"}
@String{j-ANN-MATH-ARTIF-INTELL = "Annals of mathematics and artificial
intelligence"}
@String{j-ANN-SCI-MATH-QUEBEC = "Les Annales des sciences math{\'e}matiques
du Qu{\'e}bec"}
@String{j-APPL-ALGEBRA-ENG-COMMUN-COMPUT = "Applicable algebra in engineering,
communication and computing"}
@String{j-APPL-MATH = "Applications of Mathematics"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-MATH-NOTES = "Applied Mathematics Notes"}
@String{j-AUSTRALIAN-J-STAT = "Australian journal of statistics"}
@String{j-AUSTRALIAN-MATH-SOC-GAZ = "Austral. Math. Soc. Gaz."}
@String{j-BEHAV-RES-METH-INSTR-COMP = "Behavior research methods, instruments,
and computers"}
@String{j-BIT = "BIT"}
@String{j-BYTE = "BYTE Magazine"}
@String{j-C-R-MATH-I = "C. R. Acad. Sci. Paris S{\'e}r. I Math."}
@String{j-CEE = "CEE. Chemical engineering education"}
@String{j-CELEST-MECH = "Celestial mechanics"}
@String{j-CLASS-QUANTUM-GRAV = "Class. Quant. Grav."}
@String{j-COED = "CoED"}
@String{j-COLLOQ-MATH = "Colloq. Math."}
@String{j-COMMUN-ALGEBRA = "Communications in Algebra"}
@String{j-COMP-FLUIDS = "Computers and Fluids"}
@String{j-COMP-MATH-APPL = "Computers and Mathematics with
Applications"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMP-PHYSICS = "Computers in Physics"}
@String{j-COMP-STRUCTURES = "Computers and structures"}
@String{j-COMPLEX-VARIABLES-THEORY-APPL = "Complex variables, theory and
application"}
@String{j-COMPUT-APPL-ENG-EDUC = "Computer Applications in Engineering
Education"}
@String{j-COMPUT-CHEM = "Computers and Chemistry"}
@String{j-COMPUT-METH-APPL-MECH-ENG = "Computer Methods in Applied Mechanics
and Engineering"}
@String{j-COMPUT-SCI-ENG = "Computing in Science and Engineering"}
@String{j-COMPUTER = "Computer"}
@String{j-CYBERNETICS-SYSTEMS = "Cybernetics and Systems"}
@String{j-DISCRETE-COMPUT-GEOM = "Discrete and Computational Geometry"}
@String{j-DISCRETE-MATH = "Discrete Math."}
@String{j-DOKL-AKAD-NAUK = "Doklady Akademii nauk SSSR"}
@String{j-DUKE-MATH = "Duke Math. J."}
@String{j-DYNAMICS-CONTROL = "Dynamics Control"}
@String{j-ELECTRONICS-WORLD-WIRELESS-WORLD = "Electronics world +
wireless world"}
@String{j-ELECTRONIK = "Elektronik"}
@String{j-ENG-FRACTURE-MECH = "Engineering fracture mechanics"}
@String{j-EXP-MATH = "Experimental mathematics"}
@String{j-GEN-RELATIVITY-GRAV = "General relativity and gravitation"}
@String{j-IEEE-TRANS-AUTOMAT-CONTR = "IEEE Transactions on Automatic Control"}
@String{j-IEEE-TRANS-EDUC = "IEEE transactions on education"}
@String{j-IEEE-TRANS-MAGNETICS = "IEEE Transactions on Magnetics"}
@String{j-IEEE-TRANS-POWER-SYSTEMS = "IEEE Transactions on Power Systems"}
@String{j-IEEE-TRANS-SIG-PROC = "IEEE Transactions on Signal Processing"}
@String{j-IFIP-TRANS-A = "IFIP Transactions. A. Computer Science and
Technology"}
@String{j-IJQC = "International Journal of Quantum Chemistry"}
@String{j-INT-J-BIFURC-CHAOS-APPL-SCI-ENG = "International journal of
bifurcation and chaos in applied sciences
and engineering"}
@String{j-INT-J-MATH-EDU-SCI-TECH = "International journal of
mathematical education in science and technology"}
@String{j-INT-J-MATH-MATH-SCI = "International journal of mathematics and
mathematical sciences"}
@String{j-INT-J-MOD-PHYS-C = "International Journal of Modern
Physics C [Physics and Computers]"}
@String{j-INT-J-ROBOTICS-AUTOMATION = "International Journal of Robotics
and Automation"}
@String{j-INT-J-SYST-SCI = "International Journal of Systems Science"}
@String{j-J-ALGEBRA = "Journal of Algebra"}
@String{j-J-AM-STAT-ASSOC = "Journal of the American Statistical
Association"}
@String{j-J-APPL-ECONOMETRICS = "Journal of Applied Econometrics"}
@String{j-J-COMB-THEORY-A = "Journal of Combinatorial Theory (Series A)"}
@String{j-J-COMP-APPL-MATH = "Journal of Comp. and Appl. Math."}
@String{j-J-COMP-PHYS = "J. Computational Physics"}
@String{j-J-DYN-SYST-MEAS-CONTROL = "Journal of Dynamic Systems, Measurement,
and Control"}
@String{j-J-MATH-PHYS = "J. Math. Phys."}
@String{j-J-PHYS-A = "J. Phys. A"}
@String{j-J-SOUND-VIB = "Journal of Sound and Vibration"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-JARATAZA = "Journal A. Revue A. Tijdschrift
A. Zeitschrift A"}
@String{j-LAB-MICROCOMP = "Laboratory microcomputer"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LINUX-J = "Linux Journal"}
@String{j-MACUSER = "MacUser"}
@String{j-MACWORLD = "Macworld"}
@String{j-MANUSCR-MATH = "Manuscripta Mathematica"}
@String{j-MAT-CONTEMP = "Matem{\'a}tica Contempor{\^a}nea"}
@String{j-MATH-COMP-EDU = "Mathematics and computer education"}
@String{j-MATH-COMP-MODELLING = "Mathematical and computer modelling"}
@String{j-MATH-COMP-SIM = "Mathematics and Computers in Simulation"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical modelling and numerical
analysis = Modelisation math{\'e}matique et
analyse num{\'e}rique: $M^2AN$"}
@String{j-MATH-MODELS-METHODS-APPL-SCI = "Mathematical models and methods in
applied sciences"}
@String{j-MATH-SEMESTERBER = "Mathematische Semesterberichte"}
@String{j-MATH-TODAY = "Mathematics Today"}
@String{j-MODELLING-MEASUREMENT-CONTROL-B = "Modelling, Measurement \& Control
B: Solid \& Fluid Mechanics \& Thermics,
Mechanical Systems"}
@String{j-NAMS = "Notices Amer. Math. Soc."}
@String{j-NONLINEARITY = "Nonlinearity (Bristol)"}
@String{j-PARALLEL-DIST-COMP-PRACT = "PDCP: Parallel and Distributed Computing
Practices"}
@String{j-PC-MAGAZINE = "PC Magazine"}
@String{j-PROC-ASEE-ANNU-CONF = "American Society for Engineering Education
Annual Conference. Proceedings"}
@String{j-PROC-IEEE-CONF-DECISION-CONTROL = "Proceedings of the IEEE
Conference on Decision and Control"}
@String{j-PROC-LONDON-MATH-SOC = "Proceedings of the London Mathematical
Society. Third Series"}
@String{j-PROC-ROY-SOC-LONDON-SER-A = "Proc. Roy. Soc. London Ser. A"}
@String{j-PROG-SURF-SCI = "Progress in Surface Science"}
@String{j-PROGRAMMIROVANIE = "Programmirovanie"}
@String{j-RES-DEV = "Research \& Development"}
@String{j-RESULTS-MATH = "Results in Mathematics = Resultate der
Mathematik"}
@String{j-SCITECH-J = "SciTech Journal"}
@String{j-SIAM-J-APPL-MATH = "SIAM J. of Applied Math."}
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM J. Scient. Stat. Comput."}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGCSE = "SIGCSE Bulletin (ACM Special Interest Group
on Computer Science Education)"}
@String{j-SIGPLAN = "ACM SIGPLAN Notices"}
@String{j-SIGSAM = "SIGSAM Bulletin (ACM Special
Interest Group on Symbolic and Algebraic
Manipulation)"}
@String{j-SIMON-STEVIN = "Simon Stevin"}
@String{j-SPE = "Soft\-ware\emdash Prac\-tice and Experience"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-TOG = "ACM Transactions on Graphics"}
@String{j-TOKYO-J-MATH = "Tokyo journal of mathematics"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TRANS-AMS = "Trans. Amer. Math. Soc."}
@String{j-WESCON-CONF-REC = "WESCON Conference Record"}
@String{j-ZEIT-ANGE-MATH-PHYS = "Zeitschrift f{\"u}r Angewandte Mathematik
und Physik"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-A-K-PETERS = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AMS = "Amer. Math. Soc."}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-ARTECH = "Artech House Inc."}
@String{pub-ARTECH:adr = "Norwood, MA, USA"}
@String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr = "Reading, MA, USA"}
@String{pub-AW-IBEROAMERICANA = "Ad{\-d}i{\-s}on-Wes{\-l}ey
Iberoamericana"}
@String{pub-AW-IBEROAMERICANA:adr = "Wilmington, DE, USA"}
@String{pub-BALTZER = "J. C. Baltzer AG, Scientific
Publishing Company"}
@String{pub-BALTZER:adr = "Basel, Switzerland"}
@String{pub-BIRKHAUSER = "Birkh{\"{a}}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}
@String{pub-BROOKS-COLE = "Brooks\slash Cole"}
@String{pub-BROOKS-COLE:adr = "Pacific Grove, CA, USA"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-CHARTWELL-BRATT = "Chartwell-Bratt"}
@String{pub-CHARTWELL-BRATT:adr = "Bromley, Kent, UK"}
@String{pub-CHAPMAN-HALL-CRC = "Chapman and Hall/CRC"}
@String{pub-CHAPMAN-HALL-CRC:adr = "Boca Raton, FL, USA"}
@String{pub-CLARENDON = "Clarendon Press"}
@String{pub-CLARENDON:adr = "New York, NY, USA"}
@String{pub-CRC = "CRC Press"}
@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton,
FL 33431-9868, USA"}
@String{pub-CUP = "Cambridge University Press"}
@String{pub-CUP:adr = "Cambridge, UK"}
@String{pub-DEKKER = "Marcel Dekker, Inc."}
@String{pub-DEKKER:adr = "New York, NY, USA"}
@String{pub-DELMAR-PUB = "Delmar Publishers"}
@String{pub-DELMAR-PUB:adr = "Albany, NY, USA"}
@String{pub-DPUNKT-VERLAG = "dpunkt Verlag"}
@String{pub-DPUNKT-VERLAG:adr = "Ringstra{\ss}e 19, 69115 Heidelberg,
Germany"}
@String{pub-DUNOD = "Dunod"}
@String{pub-DUNOD:adr = "Paris, France"}
@String{pub-ELBI = "ELBI-Verlag GmbH"}
@String{pub-ELBI:adr = "????"}
@String{pub-ELSEVIER-ACADEMIC = "Elsevier Academic Press"}
@String{pub-ELSEVIER-ACADEMIC:adr = "Amsterdam, The Netherlands"}
@String{pub-EYROLLES = "Eyrolles"}
@String{pub-EYROLLES:adr = "Paris, France"}
@String{pub-HARCOURT-ACADEMIC = "Harcourt/Academic Press"}
@String{pub-HARCOURT-ACADEMIC:adr = "San Diego"}
@String{pub-HARPERCOLLINS = "HarperCollins College Publishers"}
@String{pub-HARPERCOLLINS:adr = "New York, NY, USA"}
@String{pub-HEATH = "D. C. Heath and Company"}
@String{pub-HEATH:adr = "Lexington, MA, USA"}
@String{pub-IEE = "IEE"}
@String{pub-IEE:adr = "London, UK"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver
Spring, MD 20910, USA"}
@String{pub-INRIA = "INRIA (Institut National de Recherche
en Informatique et en Automatique)"}
@String{pub-INRIA:adr = "Rocquencourt, France"}
@String{pub-ITCP = "International Thomson Computer Press"}
@String{pub-ITCP:adr = "20 Park Plaza Suite 1001, Boston,
MA 02116 USA"}
@String{pub-ITP = "International Thomson Publishing"}
@String{pub-ITP:adr = "Bonn, Germany"}
@String{pub-JW = "John Wiley"}
@String{pub-JW:adr = "New York, NY, USA"}
@String{pub-KENDALL-HUNT = "Kendall/Hunt Publishing Company"}
@String{pub-KENDALL-HUNT:adr = "Dubuque, IA, USA"}
@String{pub-KLUWER = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The
Netherlands"}
@String{pub-MAPLESOFT = "Maplesoft"}
@String{pub-MAPLESOFT:adr = "Waterloo, ON, Canada N2L 6C2"}
@String{pub-MASSON = "Masson Editeur"}
@String{pub-MASSON:adr = "Paris, France"}
@String{pub-MCGRAW-HILL = "Mc{\-}Graw-Hill"}
@String{pub-MCGRAW-HILL:adr = "New York, NY, USA"}
@String{pub-NH = "North-Holland Publishing Co."}
@String{pub-NH:adr = "Amsterdam, The Netherlands"}
@String{pub-PEARSON-EDUCATION = "Pearson Education"}
@String{pub-PEARSON-EDUCATION:adr = "Upper Saddle River, NJ, USA"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"}
@String{pub-PHC = "Pren{\-}tice-Hall Canada"}
@String{pub-PHC:adr = "Scarborough, Ontario, Canada"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ, USA"}
@String{pub-PWS = "PWS-Kent Publishing Company, Division
of Wadsworth, Inc."}
@String{pub-PWS:adr = "20 Park Plaza, Boston, MA 02116, USA"}
@String{pub-SAUNDERS = "Saunders College Publishing"}
@String{pub-SAUNDERS:adr = "Ft. Worth, TX, USA"}
@String{pub-SMS-QMWC-UL = "School of Mathematical Sciences, Queen Mary
and Westfield College (University
of London)"}
@String{pub-SMS-QMWC-UL:adr = "Mile End Road, London E1 4NS, England"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
@String{pub-SV-VIENNA = "Spring{\-}er"}
@String{pub-SV-VIENNA:adr = "Vienna, Austria"}
@String{pub-TELOS = "TELOS division of Springer-Verlag"}
@String{pub-TELOS:adr = "Santa Clara, CA, USA and New York, NY, USA"}
@String{pub-VIEWEG = "Friedrich Vieweg und Sohn"}
@String{pub-VIEWEG:adr = "Braunschweig, Germany"}
@String{pub-WADSWORTH = "Wadsworth and Brooks/Cole Publishing
Company"}
@String{pub-WADSWORTH:adr = "Pacific Grove, CA, USA"}
@String{pub-WATCOM = "WATCOM Publications Limited"}
@String{pub-WATCOM:adr = "415 Philip St, Waterloo, Ontario
N2L 3X2, Canada"}
@String{pub-WATERLOO = "University of Waterloo"}
@String{pub-WATERLOO-MAPLE = "Waterloo Maple Publishing"}
@String{pub-WATERLOO-MAPLE-SOFTWARE = "Waterloo Maple Software"}
@String{pub-WATERLOO-MAPLE-SOFTWARE:adr = "Waterloo, Ontario, Canada"}
@String{pub-WATERLOO-MAPLE:adr = "160 Columbia St, Waterloo, Ontario
N2L 3L3, Canada"}
@String{pub-WATERLOO:adr = "Waterloo, Ontario, Canada"}
@String{pub-WCB = "William C. Brown Company Publishers"}
@String{pub-WCB:adr = "Dubuque, IA, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing
Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr = "P. O. Box 128, Farrer Road,
Singapore 9128"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS = "Lecture Notes in Computer Science"}
%%% ====================================================================
%%% Bibliography entries:
@TechReport{Geddes:1981:MUMa,
author = "Keith O. Geddes and Gaston H. Gonnet and Bruce W.
Char",
title = "{Maple} User's Manual",
number = "CS-81-25",
institution = inst-WATERLOO-CS,
address = inst-WATERLOO-CS:adr,
edition = "Second",
pages = "40",
year = "1981",
bibdate = "Sun Oct 12 11:49:31 1997",
acknowledgement = ack-nhfb,
}
@TechReport{Geddes:1981:MUMb,
author = "Keith O. Geddes and Gaston H. Gonnet and Bruce W.
Char",
title = "{Maple} User's Manual",
number = "CS-82-40",
institution = inst-WATERLOO-CS,
address = inst-WATERLOO-CS:adr,
edition = "Second",
pages = "iv + 95",
year = "1981",
bibdate = "Sun Oct 12 11:49:37 1997",
acknowledgement = ack-nhfb,
}
@InProceedings{Voda:1982:MPL,
author = "P. J. Voda",
title = "Maple: {A} Programming Language and Operating System",
crossref = "ACM:1982:CRN",
pages = "157--168",
year = "1982",
bibdate = "Thu Aug 11 21:58:09 1994",
abstract = "Maple is a statically typed language system, which
very general generic facilities. It incorporates its
own programming environment, and provides parallel
processing with a new method of process
synchronization. The synchronization is the direct
outgrowth of its data abstraction facilities.",
acknowledgement = ack-nhfb,
sjb = "Contains lots of nice features, but hadn't been
implemented at the time of the paper.",
}
@Book{Buchberger:1983:CAS,
author = "B. Buchberger and G. E. Collins and R. Loos and R.
Albrecht",
title = "Computer algebra: symbolic and algebraic computation",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "vi + 283",
year = "1983",
ISBN = "0-387-81776-X",
LCCN = "QA155.7.E4 C65 1983",
bibdate = "Thu Dec 28 13:48:31 1995",
price = "US\$24.50",
acknowledgement = ack-nhfb,
keywords = "algorithms; measurement; theory",
review = "ACM CR 8408-0605",
subject = "I.1 Computing Methodologies, ALGEBRAIC MANIPULATION,
General",
}
@InProceedings{Char:1983:DMC,
author = "B. W. Char and K. O. Geddes and W. M. Gentleman and G.
H. Gonnet",
title = "The design of {Maple}: a compact, portable and
powerful computer algebra system",
crossref = "vanHulzen:1983:CAE",
pages = "101--115",
year = "1983",
bibdate = "Sat Aug 13 17:01:28 MDT 1994",
acknowledgement = ack-nhfb,
keywords = "languages; theory",
subject = "D.3 Software, PROGRAMMING LANGUAGES, Language
Classifications \\ D.3.4 Software, PROGRAMMING
LANGUAGES, Processors, Code generation",
}
@TechReport{Char:1983:IMS,
author = "Bruce W. Char and Keith O. Geddes and Gaston H.
Gonnet",
title = "An Introduction to {Maple}: Sample Interactive
Session",
number = "CS-83-16",
institution = inst-WATERLOO-MATH,
address = inst-WATERLOO-MATH:adr,
pages = "15",
year = "1983",
bibdate = "Fri Jul 08 08:24:18 1994",
acknowledgement = ack-nhfb,
}
@Article{Char:1983:MSC,
author = "Bruce Char and Keith Geddes and Gaston Gonnet",
title = "The {Maple} symbolic computation system",
journal = j-SIGSAM,
volume = "17",
number = "3--4",
pages = "31--42",
month = aug # "\slash " # nov,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo,
Ont., Canada",
issue = "67/68",
keywords = "algebra; algebraic computation; design; human factors;
interactive systems; languages; Maple; Maple
programming; symbolic computation; user/system
interaction",
subject = "D.4.7 Software, OPERATING SYSTEMS, Organization and
Design, Interactive systems \\ H.1.2 Information
Systems, MODELS AND PRINCIPLES, User/Machine Systems,
Human factors \\ G.1.0 Mathematics of Computing,
NUMERICAL ANALYSIS, General, Computer arithmetic \\
G.1.5 Mathematics of Computing, NUMERICAL ANALYSIS,
Roots of Nonlinear Equations, Systems of equations \\
F.3.3 Theory of Computation, LOGICS AND MEANINGS OF
PROGRAMS, Studies of Program Constructs, Program and
recursion schemes \\ D.3.2 Software, PROGRAMMING
LANGUAGES, Language Classifications, Extensible
languages \\ D.3.3 Software, PROGRAMMING LANGUAGES,
Language Constructs, Data types and structures",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Geddes:1983:MUM,
author = "Keith O. Geddes and Gaston H. Gonnet and Bruce W.
Char",
title = "{MAPLE}: User's Manual",
number = "CS-83-41",
institution = inst-WATERLOO-MATH,
edition = "Third",
pages = "130",
year = "1983",
bibdate = "Fri Jul 08 08:33:42 1994",
acknowledgement = ack-nhfb,
}
@TechReport{Watt:1983:ATM,
author = "Stephen Michael Watt and Keith O. Geddes",
title = "Arrays and Tables in {Maple}. Supplement to the
{Maple} User's Manual",
number = "CS-83-10",
institution = inst-WATERLOO-CS,
address = inst-WATERLOO-CS:adr,
pages = "27",
year = "1983",
bibdate = "Sun Oct 12 11:49:42 1997",
acknowledgement = ack-nhfb,
}
@TechReport{Char:1984:DMC,
author = "Bruce W. Char and others",
title = "The Design of {Maple}: {A} Compact, Portable, and
Powerful Computer Algebra System",
number = "CS-83-06",
institution = inst-WATERLOO-ICR,
address = inst-WATERLOO-ICR:adr,
pages = "13",
year = "1984",
bibdate = "Wed Dec 27 16:39:40 1995",
note = "Work appeared in Computer Algebra proceedings of
Eurocal'83-European computer Algebra Conference,
London, England, March 1983, pp. 101--115,
Springer-Verlag, Berlin, 1983.",
acknowledgement = ack-nhfb,
}
@InProceedings{Char:1984:DPMa,
author = "B. Char and G. Fee and K. O. Geddes and G. H. Gonnet
and M. B. Monagen and S. M. Watt",
title = "On the Design and Performance of the {Maple} System",
crossref = "Golden:1984:PMU",
pages = "199",
year = "1984",
bibdate = "Sat Apr 29 18:01:46 1995",
acknowledgement = ack-nhfb,
}
@TechReport{Char:1984:DPMb,
author = "Bruce W. Char and others",
title = "On the Design and Performance of the {Maple} System",
number = "CS-84-13",
institution = inst-WATERLOO-MATH,
address = inst-WATERLOO-MATH:adr,
pages = "35",
year = "1984",
bibdate = "Wed Dec 27 16:39:42 1995",
acknowledgement = ack-nhfb,
}
@TechReport{Char:1984:IMS,
author = "Bruce W. Char and Keith O. Geddes and Gaston H.
Gonnet",
title = "An Introduction to {Maple}: Sample Interactive
Session",
number = "CS-84-04",
institution = inst-WATERLOO-MATH,
pages = "15",
year = "1984",
bibdate = "Fri Jul 08 08:50:10 1994",
acknowledgement = ack-nhfb,
}
@Article{McGeer:1984:DIB,
author = "Patrick C. McGeer",
title = "A discussion and implementation of {Brown}'s {REX}
simplification algorithm",
journal = j-SIGSAM,
volume = "18",
number = "1",
pages = "10--19",
month = feb,
year = "1984",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Electrical Engng. and Computer Sci., Univ. of
California, Berkeley, CA, USA",
issue = "69",
keywords = "Computation System; exponential expressions;
expressions; Maple Symbolic; normal form algorithm;
programming theory; rational; simplification algorithm;
University of Waterloo",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Char:1985:MSI,
author = "Bruce W. Char and Keith O. Geddes and Gaston H.
Gonnet",
title = "{Maple}: {A} Sample Interactive Session",
number = "CS-85-01",
institution = inst-WATERLOO-MATH,
pages = "19",
year = "1985",
bibdate = "Fri Jul 08 08:44:24 1994",
acknowledgement = ack-nhfb,
}
@Book{Char:1985:MUGa,
author = "Bruce W. Char and others",
title = "{Maple} User's Guide: First Leaves, {A} Tutorial
Introduction to {Maple} and {Maple} Reference Manual",
publisher = pub-WATCOM,
address = pub-WATCOM:adr,
edition = "Fourth",
pages = "xiii + 310",
year = "1985",
ISBN = "0-919884-51-2",
LCCN = "QA76.8.M46 M36 1985",
bibdate = "Wed Dec 27 16:39:44 1995",
acknowledgement = ack-nhfb,
}
@Book{Char:1985:MUGb,
author = "Bruce W. Char and others",
title = "{Maple} User's Guide: First Leaves, {A} Tutorial
Introduction to {Maple} and {Maple} Reference Manual",
publisher = pub-WATCOM,
address = pub-WATCOM:adr,
edition = "Fourth",
pages = "xiii + 310",
year = "1985",
ISBN = "0-919884-01-6",
LCCN = "QA155.7.E4 M3 1985",
bibdate = "Wed Dec 27 16:39:45 1995",
acknowledgement = ack-nhfb,
}
@TechReport{Char:1985:TIM,
author = "Bruce W. Char and others",
title = "A Tutorial Introduction to {Maple}",
number = "CS-85-56",
institution = inst-WATERLOO-MATH,
address = inst-WATERLOO-MATH:adr,
pages = "27",
year = "1985",
bibdate = "Wed Dec 27 16:39:47 1995",
acknowledgement = ack-nhfb,
}
@InProceedings{Hui:1985:SCS,
author = "W. H. Hui and G. Tenti",
title = "Symbolic computation of the {Stokes} wave",
crossref = "Pavelle:1985:ACA",
pages = "329--337",
year = "1985",
MRclass = "76B15 (76-04)",
MRnumber = "87d:76032",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Char:1986:CAU,
author = "B. W. Char and K. O. Geddes and G. H. Gonnet and B. J.
Marshman and P. J. Ponzo",
title = "Computer algebra in the undergraduate mathematics
classroom",
crossref = "Char:1986:PSS",
pages = "135--140",
year = "1986",
bibdate = "Thu Dec 28 10:51:33 1995",
acknowledgement = ack-nhfb,
keywords = "experimentation; human factors; performance",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, Maple \\ K.3.1 Computing
Milieux, COMPUTERS AND EDUCATION, Computer Uses in
Education, Computer-assisted instruction (CAI) \\ I.1.3
Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, Special-purpose algebraic
systems",
}
@Article{Char:1986:TIM,
author = "Bruce W. Char and G. J. Fee and Keith O. Geddes and
Gaston H. Gonnet and Michael B. Monagan",
title = "A Tutorial Introduction to {Maple}",
journal = j-J-SYMBOLIC-COMP,
volume = "2",
number = "2",
pages = "179--200",
month = jun,
year = "1986",
CODEN = "JSYCEH",
ISSN = "0747-7171",
bibdate = "Thu Feb 08 07:18:02 1996",
acknowledgement = ack-nhfb,
keywords = "algorithms; languages",
review = "ACM CR 8705-0409",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, Maple",
}
@InProceedings{Czapor:1986:IBA,
author = "S. R. Czapor and K. O. Geddes",
title = "On implementing Buchberger's algorithm for Grobner
bases",
crossref = "Char:1986:PSS",
pages = "233--238",
year = "1986",
bibdate = "Thu Dec 28 10:51:27 1995",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, Maple \\ F.2.1 Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on polynomials",
}
@Article{Devitt:1986:RCF,
author = "J. S. Devitt and R. A. Mollin",
title = "The rational canonical form of a matrix",
journal = j-INT-J-MATH-MATH-SCI,
volume = "9",
number = "2",
pages = "253--260",
year = "1986",
ISSN = "0161-1712",
MRclass = "15-04 (15A21)",
MRnumber = "87f:15001",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "William H. Gustafson",
}
@InProceedings{Leong:1986:IDU,
author = "B. L. Leong",
title = "Iris: design of an user interface program for symbolic
algebra",
crossref = "Char:1986:PSS",
pages = "1--6",
year = "1986",
bibdate = "Thu Dec 28 10:51:46 1995",
acknowledgement = ack-nhfb,
keywords = "design; human factors; theory",
subject = "I.1.2 Computing Methodologies, ALGEBRAIC MANIPULATION,
Algorithms, Algebraic algorithms \\ D.2.2 Software,
SOFTWARE ENGINEERING, Tools and Techniques, User
interfaces \\ I.1.3 Computing Methodologies, ALGEBRAIC
MANIPULATION, Languages and Systems, Maple \\ H.1.2
Information Systems, MODELS AND PRINCIPLES,
User/Machine Systems, Human factors",
}
@Article{Bandyopadhyay:1987:SSI,
author = "S. Bandyopadhyay and J. S. Devitt",
title = "{SIS}: a symbolic information management system",
journal = j-J-SYMBOLIC-COMP,
volume = "4",
number = "3",
pages = "397--408",
month = dec,
year = "1987",
CODEN = "JSYCEH",
ISSN = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
acknowledgement = ack-nhfb,
classcodes = "C4250 (Database theory); C6160D (Relational DBMS);
C7310 (Mathematics)",
corpsource = "Sch. of Comput. Sci., Windsor Univ., Ont., Canada",
countrypub = "UK A08",
keywords = "algebraic constraint satisfaction; automatic query
inference systems; computation; database management
systems; database theory; databases; formulae;
management system; Maple algebra system; mathematical;
mathematics computing; query by example; relational;
relational databases; Scientific Information System;
SIS; symbol manipulation; symbolic; symbolic
information",
treatment = "P Practical",
}
@TechReport{Char:1987:MWC,
author = "Bruce W. Char and others",
title = "{Maple} Workbook of Calculus Problems: Preliminary
Version",
number = "CS-87-27",
institution = inst-WATERLOO-MATH,
address = inst-WATERLOO-MATH:adr,
pages = "45",
year = "1987",
bibdate = "Wed Dec 27 16:39:48 1995",
acknowledgement = ack-nhfb,
}
@Article{Cizek:1987:TPA,
author = "J. {\v{C}}i{\v{z}}ek and J. Paldus and U. W. Ramgulam
and F. Vinette",
title = "Two-Point {Pad{\'e}} Approximants in Electrochemical
Kinetic Currents",
journal = j-PROG-SURF-SCI,
volume = "25",
number = "1-4",
pages = "17--39",
year = "1987",
CODEN = "PSSFBP",
ISSN = "0079-6816",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "A unified and simple account of Koutecky's method of
dimensionless parameters for the solution of Il'kovic's
and MacGillavry and Rideal's equations for
polarographic currents of various types is presented
for prototypical examples of diffusion and kinetic
currents with or without the effect of spherical
diffusion. The required power series expansions,
defining a new kind of special functions, are precisely
evaluated using a MAPLE algebraic package and it is
shown that these functions can be efficiently and
accurately represented using two-point Pade
approximants, requiring only a few expansion
coefficients for their determination. A comparison of
Koutecky's approach with that proposed by Levich is
discussed.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Waterloo, Waterloo, Ont, Can",
affiliationaddress = "Univ of Waterloo, Waterloo, Ont, Can",
classification = "702; 801; 921",
journalabr = "Prog Surf Sci",
keywords = "electrochemical kinetic currents; electrochemistry;
electrodes, electrochemical --- Polarographic Analysis;
Maple algebraic package; Mathematical Models; two-point
Pad{\'e} approximants",
}
@Article{Czapor:1987:NMP,
author = "S. R. Czapor and R. G. McLenaghan",
title = "{NP}: a {Maple} package for performing calculations in
the {Newman}\mhy {Penrose} formalism",
journal = j-GEN-RELATIVITY-GRAV,
volume = "19",
number = "6",
pages = "623--635",
year = "1987",
CODEN = "GRGVA8",
ISSN = "0001-7701",
MRclass = "83-04",
MRnumber = "89b:83003",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Fuchssteiner:1987:CAM,
author = "Benno Fuchssteiner and Walter Oevel and Waldemar
Wiwianka",
title = "Computer-algebra methods for investigation of
hereditary operators of higher order soliton
equations",
journal = j-COMP-PHYS-COMM,
volume = "44",
number = "1-2",
pages = "47--55",
year = "1987",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
MRclass = "58F07 (35-04 58-04 58G37)",
MRnumber = "88g:58080",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Periodical{Scott:1987:MTN,
editor = "Tony Scott",
key = "MAPLETECH",
title = "The {Maple} Technical Newsletter",
organization = "Mathematical Institute, University of Oxford",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
year = "1987",
ISSN = "1061-5733",
LCCN = "QA155.7.E4 M365",
bibdate = "Thu Dec 28 11:53:47 1995",
note = "Published twice annually.",
URL = "http://www.birkhauser.com/Journals/MapleTech/SUMMARY.HTM",
acknowledgement = ack-nhfb,
}
@Article{denBergh:1988:OMP,
author = "N. Van den Bergh",
title = "{ORTHOFRAME}: a {{MAPLE}} package for performing
calculations in the orthonormal tetrad formalism",
journal = j-CLASS-QUANTUM-GRAV,
volume = "5",
number = "10",
pages = "L169--L179",
year = "1988",
CODEN = "CQGRDG",
ISSN = "0264-9381",
MRclass = "83-08 (83C55)",
MRnumber = "89j:83002",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "W. B. Bonnor",
}
@Article{Bremner:1988:TPU,
author = "Murray R. Bremner",
title = "Tensor products of unitarizable representations of the
{Virasoro} algebra with central charge ${1\over 2}$",
journal = j-COMMUN-ALGEBRA,
volume = "16",
number = "7",
pages = "1513--1523",
year = "1988",
CODEN = "COALDM",
ISSN = "0092-7872",
MRclass = "17B65 (17B10)",
MRnumber = "90e:17027",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "H. Boseck",
}
@Book{Char:1988:FLT,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "First Leaves: {A} Tutorial Introduction to {Maple},
Revised for {Maple} Version 4.2",
publisher = pub-WATCOM,
address = pub-WATCOM:adr,
pages = "iii + 115",
year = "1988",
ISBN = "0-921329-22-9",
LCCN = "????",
bibdate = "Sun Jul 10 01:05:10 1994",
acknowledgement = ack-nhfb,
}
@Book{Char:1988:MRM,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "{Maple} Reference Manual",
publisher = pub-WATCOM,
address = pub-WATCOM:adr,
edition = "Fifth",
pages = "xxvi + 403",
year = "1988",
ISBN = "0-921329-15-6",
LCCN = "????",
bibdate = "Sun Jul 10 01:05:12 1994",
acknowledgement = ack-nhfb,
}
@Article{Cushman:1988:CNF,
author = "Richard Cushman and Jan A. Sanders",
title = "The constrained normal form algorithm",
journal = j-CELEST-MECH,
volume = "45",
number = "1-3",
pages = "181--187",
year = "1988--1989",
CODEN = "CLMCAV",
ISSN = "0008-8714",
MRclass = "58F05 (58-04 58F30 70F05)",
MRnumber = "90i:58046",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Davenport:1988:CA,
author = "J. H. Davenport and Y. Siret and E. Tournier",
title = "Computer Algebra: Systems and Algorithms for Algebraic
Computation",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xix + 267",
year = "1988",
ISBN = "0-12-204230-1",
LCCN = "QA155.7.E4 D38 1988",
bibdate = "Fri Dec 29 18:14:51 1995",
bibsource = "/usr/local/src/bib/bibliography/Theory/Comp.Alg.bib",
notes = "{\footnotesize Dies ist die englische Ausgabe des
urspr{\"u}nglich bei Masson 1987 erschienen Buches {\em
Calcul Formel}. Es ist die erste Monographie {\"u}ber
Computeralgebra. Es wird in etwa die Theorie behandelt,
die heute in den gr{\"o}{\ss}eren Systemen wie MACSYMA,
MAPLE, REDUCE oder SCRATCHPAD II realisiert ist. Das
erste Kapitel ist der Diskussion verschiedener \CA\
Systeme mit Beispielen gewidmet. Die wichtige Frage der
Repr{\"a}sentation der mathematischen Objekte auf einem
Computer ist das Thema des zweiten Kapitels. Der
Algorithmus von Buchberger, zylindrische Dekomposition,
Berechnung von gr{\"o}{\ss}ten gemeinsamen Teilern,
p-adische Methoden und Faktorisierung,
Differentialgleichungen und Stammfunktionen sind die
wichtigsten behandelten Gegenst{\"a}nde des Buches, das
mit einer ausf{\"u}hrlichen Bibliographie und einer
Beschreibung von REDUCE im Anhang endet. \hfill J.
Grabmeier}",
}
@Article{David:1988:VCC,
author = "Carl W. David",
title = "Variational Calculations on a Correlated Helium Wave
Function Using {Maple}",
journal = j-COMPUT-CHEM,
volume = "12",
number = "3",
pages = "229--231",
year = "1988",
CODEN = "COCHDK",
ISSN = "0097-8485",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "With the introduction of symbolic computational
methodology, it becomes reasonable to attempt nonlinear
variational computations on helium wave functions of
higher complexity than have been attempted in the past.
We have employed that algorithm in a symbolic rather
than a numerical setting using MAPLE a relatively new
symbolic mathematical processor which has been
implemented on both VAX and IBM systems. The first
result of this program's execution was an expression
for `energy' of the form energy ( sigma, b). This
energy was then minimized. Although MAPLE can integrate
many functions, it can not integrate all functions.
Specifically, MAPLE was unable to handle wave functions
which contained logarithmic (Fock type) terms.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Connecticut, Storrs, CT, USA",
affiliationaddress = "Univ of Connecticut, Storrs, CT, USA",
classification = "723; 804; 921",
journalabr = "Comput Chem",
keywords = "Calculations; computer programming --- Algorithms;
correlated helium wave function; energy minimization;
helium; Maple language; mathematical processor;
mathematical techniques --- Variational Techniques",
}
@InProceedings{Fuchssteiner:1988:CAD,
author = "Benno Fuchssteiner and Uwe Falck",
title = "Computer algorithms for the detection of completely
integrable quantum spin chains",
crossref = "Levi:1988:SNP",
pages = "22--50",
year = "1988",
MRclass = "82B23 (82-04 82B10)",
MRnumber = "92c:82031",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@TechReport{Geddes:1988:MCW,
author = "Keith O. Geddes and Bruce W. Char and others",
title = "{Maple}: Calculus Workbook Problems and Solutions",
institution = inst-WATERLOO-MATH,
pages = "xxiii + 211",
year = "1988",
bibdate = "Wed Dec 27 16:39:49 1995",
acknowledgement = ack-nhfb,
}
@Article{Gonnet:1988:EMA,
author = "Gaston H. Gonnet",
title = "Examples of {Maple} applied to problems from the
{American Mathematical Monthly}",
journal = j-SIGSAM,
volume = "22",
number = "2",
pages = "8--16",
month = apr,
year = "1988",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Sat Aug 13 17:01:28 MDT 1994",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, Maple",
}
@Article{Letniowski:1988:IAQ,
author = "F. W. Letniowski and R. G. McLenaghan",
title = "An improved algorithm for quartic equation
classification and {Petrov} classification",
journal = j-GEN-RELATIVITY-GRAV,
volume = "20",
number = "5",
pages = "463--483",
year = "1988",
CODEN = "GRGVA8",
ISSN = "0001-7701",
MRclass = "83C20 (83-04 83-08)",
MRnumber = "89f:83042",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "A. H. Taub",
}
@Book{SymbolicComputation:1988:MV,
author = "Symbolic Computation and Group Sta???",
title = "{Maple}, Version 4.2",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
year = "1988",
ISBN = "0-534-10218-2",
LCCN = "????",
bibdate = "Mon Aug 22 14:13:19 1994",
price = "US\$350.00",
acknowledgement = ack-nhfb,
keywords = "languages",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, Maple",
}
@Article{Vinette:1988:PEE,
author = "F. Vinette and J. {\v{C}}\'\i{\v{z}}ek",
title = "Perturbation energy expansion using hypervirial
theorem and symbolic computation for the
${N}$-dimensional hydrogen atom in an external
spherically symmetric field",
journal = j-COMP-PHYS-COMM,
volume = "52",
number = "1",
pages = "35--41",
year = "1988",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
MRclass = "81G45 (81-04)",
MRnumber = "89j:81279",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Akritas:1989:ECA,
author = "Alkiviadis G. Akritas",
title = "Elements of computer algebra with applications",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xvi + 425",
year = "1989",
ISBN = "0-471-61163-8",
LCCN = "QA155.7.E4A37 1989",
MRclass = "68Q40 (00A35 68-01 94A60 94B05)",
MRnumber = "91k:68099",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "A Wiley-Interscience Publication",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Eric Bach",
}
@InProceedings{Benson:1989:ACT,
author = "Max Environments. Benson",
title = "An algebraic computing technique",
crossref = "Tangora:1989:CGT",
pages = "63--77",
year = "1989",
MRclass = "68Q40",
MRnumber = "90g:68072",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Guang Kun Hou",
}
@Book{Char:1989:FLM,
author = "Bruce W. Char and others",
title = "First Leaves for the Macintosh: {A} Tutorial
Introduction to {Maple}",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xv + 140",
year = "1989",
ISBN = "0-534-10222-0",
LCCN = "QA155.7.E4 F57 1989",
bibdate = "Wed Dec 27 16:39:51 1995",
acknowledgement = ack-nhfb,
}
@Book{Char:1989:FLT,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "First Leaves: {A} Tutorial Introduction to {Maple}",
publisher = pub-WATCOM,
address = pub-WATCOM:adr,
edition = "Third",
pages = "122",
year = "1989",
ISBN = "0-921329-68-7",
LCCN = "????",
bibdate = "Fri Jul 08 07:59:44 1994",
acknowledgement = ack-nhfb,
}
@Article{Debever:1989:DEM,
author = "R. Debever and N. Van den Bergh and J. Leroy",
title = "Diverging {Einstein-Maxwell} null fields of {Petrov}
type ${D}$",
journal = j-CLASS-QUANTUM-GRAV,
volume = "6",
number = "10",
pages = "1373--1378",
year = "1989",
CODEN = "CQGRDG",
ISSN = "0264-9381",
MRclass = "83C20 (83-04 83C50)",
MRnumber = "90h:83028",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "J. B. Griffiths",
}
@Article{Dudley:1989:CAD,
author = "M. L. Dudley and R. W. James",
title = "Computer-aided derivation of spherical harmonic
spectral equations in astro-geophysics",
journal = j-J-SYMBOLIC-COMP,
volume = "8",
number = "4",
pages = "423--427",
month = oct,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "86-08 (85-08 85A15 85A20 86A25)",
MRnumber = "90j:86001",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Sydney Univ., NSW, Australia",
classcodes = "C7310 (Mathematics); C7350 (Astronomy and
astrophysics); C7340 (Geophysics)",
classification = "C7310 (Mathematics); C7340 (Geophysics); C7350
(Astronomy and astrophysics)",
corpsource = "Dept. of Appl. Math., Sydney Univ., NSW, Australia",
keywords = "Astro-geophysics; astro-geophysics; astrophysics
computing; Computer algebra programs; computer algebra
programs; Computer-aided derivation; computer-aided
derivation; computing; differential equations; Earth
core; equations; geophysics computing; MACSYMA;
Magnetic induction equation; magnetic induction
equation; MAPLE; Mathematical physics; mathematical
physics; Mathematical problems; mathematical problems;
mathematics; Modelling magnetohydrodynamic
interactions; modelling magnetohydrodynamic
interactions; Numerical solution; numerical solution;
partial; Partial differential equations; REDUCE;
Spectral analysis; spectral analysis; spectral
equations; spherical harmonic; Spherical harmonic
spectral equations; Stellar atmospheres; stellar
atmospheres; Stellar interiors; stellar interiors;
vector; Vector equations",
thesaurus = "Astrophysics computing; Geophysics computing;
Mathematics computing; Spectral analysis",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Book{Ellis:1989:MCS,
author = "Wade {Ellis, Jr.} and Ed Lodi",
title = "{Maple} for the Calculus Student: {A} Tutorial",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "vii + 67",
year = "1989",
ISBN = "0-534-11874-7",
LCCN = "QA155.7.E4 E44 1989",
bibdate = "Mon Aug 22 14:13:22 1994",
acknowledgement = ack-nhfb,
}
@Article{Fateman:1989:SDS,
author = "R. J. Fateman and C. G. Ponder",
title = "Speed and data structures in computer algebra
systems",
journal = j-SIGSAM,
volume = "23",
number = "2",
pages = "8--11",
month = apr,
year = "1989",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Fri Feb 8 18:27:00 MST 2002",
bibsource = "http://portal.acm.org/",
abstract = "Comparing the speed of computation in algebra systems
is a perennial occupation of system designers and
algorithm implementors. However, for many problems, the
choice of a system makes much less difference that the
approach used to represent the problem. The mapping
from mathematics to a data representation and the
choice of algorithms can make significant, and
separate, contributions to efficiency. Systems which
have the flexibility to provide several data structures
and algorithms can provide an advantage in this
respect. Macsyma is probably the system with the
largest selection. On the other hand, Macsyma has not
taken advantage of recent advances such as the
extensive use of hash-coding incorporated in the
University of Waterloo's Maple system. For the one
somewhat artificial benchmark discussed, it appears
that the Maple system does considerably better than any
representation in Macsyma by precisely this
mechanism.",
acknowledgement = ack-nhfb,
affiliation = "Div. of Comput. Sci., California Univ., Berkeley, CA,
USA",
classcodes = "C7310 (Mathematics); C6130 (Data handling techniques);
C6120 (File organisation)",
classification = "C6120 (File organisation); C6130 (Data handling
techniques); C7310 (Mathematics)",
corpsource = "Div. of Comput. Sci., California Univ., Berkeley, CA,
USA",
issue = "88",
keywords = "algebra; algorithm implementors; Algorithm
implementors; algorithms; benchmark; Benchmark;
computation speed; Computation speed; computer algebra
systems; Computer algebra systems; data; Data
representation; data structures; Data structures;
design; designers; hash-coding; Hash-coding; Macsyma;
Maple; Maple system; mathematics; Mathematics;
mathematics computing; performance; representation;
selection; software; symbol manipulation; system;
System designers",
subject = "I.3.1 Computing Methodologies, COMPUTER GRAPHICS,
Hardware architecture, Raster display devices \\ C.4
Computer Systems Organization, PERFORMANCE OF SYSTEMS
\\ E.1 Data, DATA STRUCTURES",
thesaurus = "Algebra; Data structures; Mathematics computing;
Software selection; Symbol manipulation",
treatment = "P Practical",
}
@InProceedings{Faugeras:1989:MPM,
author = "Olivier D. Faugeras and Steve Maybank",
title = "Motion from point matches: multiplicity of solutions",
crossref = "IEEE:1989:PAM",
pages = "248--255",
year = "1989",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The authors study the multiplicity of solutions of the
motion problem. Given n point matches between two
frames, an effort is made to determine the number of
solution to the motion problem. It is shown that the
maximum number of solutions is ten when five-point
matches are available. Two approaches are used. The
first attempts to recover the motion parameters by
studying the essential matrix. A natural extension of
this is to use algebraic geometry to characterize the
set of possible essential matrixes. The authors present
some results based on this approach. The second one,
based on projective geometry, dates from the previous
century. The authors show that the two approaches are
compatible and yield the same result. They then
describe a computer implementation of the second
approach that uses MAPLE, a language for symbolic
computation. The program allows the exact computation
of the solutions for any configuration of five
points.",
acknowledgement = ack-nhfb,
affiliation = "INRIA, Le Chesnay, Fr",
classification = "723; 921",
keywords = "Algebraic Geometry; Computer Programming Languages;
Image Analysis; Image Motion Analysis; Image
Processing; Maple Programming Language; Mathematical
Techniques--Geometry; Projective Geometry; Symbolic
Computation",
}
@Article{Fitt:1989:SCH,
author = "A. D. Fitt",
title = "Symbolic computation of hyperbolicity regions for
systems of two-phase flow conservation laws using
{MAPLE}",
journal = j-J-SYMBOLIC-COMP,
volume = "8",
number = "3",
pages = "305--308",
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "65-04",
MRnumber = "015 653",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Geddes:1989:MCW,
author = "Keith O. Geddes and B. J. Marshman and I. McGee and P.
J. Ponzo and Bruce W. Char",
title = "{Maple} Calculus Workbook: Problems and Solutions",
publisher = pub-WATERLOO,
address = pub-WATERLOO:adr,
pages = "????",
year = "1989",
ISBN = "????",
LCCN = "????",
bibdate = "Wed Aug 30 09:27:36 1995",
note = "No longer in print.",
acknowledgement = ack-nhfb,
}
@Book{Gerald:1989:ANA,
author = "Curtis F. Gerald and Patrick O. Wheatley",
title = "Applied numerical analysis",
publisher = pub-AW,
address = pub-AW:adr,
edition = "Fourth",
pages = "xi + 679 + 36 + 7",
year = "1989",
ISBN = "0-201-11583-2",
LCCN = "QA297 .G47 1989",
bibdate = "Sat Mar 9 08:21:34 MST 1996",
acknowledgement = ack-nhfb,
keywords = "numerical analysis",
}
@Article{Grotendorst:1989:MPC,
author = "J. Grotendorst",
title = "{MAPLE} programs for converting series expansions to
rational functions using the {Levin} transformation.
Automatic generation of {FORTRAN} functions for
numerical applications",
journal = j-COMP-PHYS-COMM,
volume = "55",
number = "3",
pages = "325--??",
day = "1",
month = oct,
year = "1989",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
bibdate = "Fri Apr 12 10:04:56 1996",
acknowledgement = ack-nhfb,
}
@Article{Hsu:1989:CSO,
author = "L. Hsu and N. Kamran",
title = "Classification of second-order ordinary differential
equations admitting {Lie} groups of fibre-preserving
point symmetries",
journal = j-PROC-LONDON-MATH-SOC,
volume = "58",
number = "2",
pages = "387--416",
year = "1989",
CODEN = "PLMTAL",
ISSN = "0024-6115",
MRclass = "58H05 (22E05 34A34 58F35)",
MRnumber = "89k:58312",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "D. H. Sattinger",
}
@Article{Mathews:1989:UCA,
author = "J. H. Mathews",
title = "Using a computer algebra system to teach second order
differential equations",
journal = j-COED,
volume = "9",
number = "4",
pages = "7--10",
month = oct # "-" # dec,
year = "1989",
CODEN = "CWLJDP",
ISSN = "0736-8607",
bibdate = "Mon Sep 30 05:46:56 MDT 1996",
abstract = "Computer algebra systems such as MACSYMA, MAPLE,
Mathematica and muMATH are designed to perform calculus
manipulations. The author shows how to use a computer
algebra system to assist with finding solutions to
second order differential equations found in
engineering mathematics. Teachers and students alike
are astounded how faithfully symbol manipulation
programs simulate the mathematical techniques applied
to engineering. The product muMath is illustrated
because of its widespread availability. It runs on IBM
compatible personal computers using the MS-DOS
operating system.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., California State Univ., Fullerton, CA,
USA",
classification = "C4170 (Differential equations); C7310 (Mathematics);
C7400 (Engineering); C7810C (Computer-aided
instruction)",
keywords = "Calculus manipulations; Computer algebra system;
Engineering mathematics; IBM compatible personal
computers; MACSYMA; MAPLE; Mathematica; Mathematical
techniques; MS-DOS operating system; MuMATH; Second
order differential equations; Students; Symbol
manipulation programs",
thesaurus = "Differential equations; Educational computing;
Engineering computing; IBM computers; Microcomputer
applications; Software packages; Symbol manipulation;
Teaching",
}
@TechReport{Salvy:1989:EAA,
author = "B. Salvy",
title = "Examples of automatic asymptotic expansions",
number = "114",
institution = "Inst. Nat. Recherche Inf. Autom.",
address = "Le Chesnay, France",
pages = "18",
month = dec,
year = "1989",
bibdate = "Mon Sep 30 05:46:56 MDT 1996",
abstract = "Describes the current state of a Maple library, gdev,
designed to perform asymptotic expansions for a large
class of expressions. Many examples are provided, along
with a short sketch of the underlying principles. A
striking feature of these examples is that none of them
can be computed directly with any of the most
widespread symbolic computation systems (Macsyma,
Mathematica, Maple or Scratchpad II).",
acknowledgement = ack-nhfb,
classification = "C1120 (Analysis); C6130 (Data handling techniques);
C7310 (Mathematics)",
keywords = "Asymptotic expansions; Gdev; Maple library; Symbolic
computation systems",
pubcountry = "France",
thesaurus = "Mathematical analysis; Mathematics computing;
Subroutines; Symbol manipulation",
}
@Article{Sturmfels:1989:CFP,
author = "Bernd Sturmfels",
title = "Computing final polynomials and final syzygies using
{Buchberger}'s {Gr{\"o}bner} bases method",
journal = j-RESULTS-MATH,
volume = "15",
number = "3-4",
pages = "351--360",
year = "1989",
ISSN = "0378-6218",
MRclass = "13F20 (12-04 13-04 14A05)",
MRnumber = "90d:13019",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Liam O'Carroll",
}
@Article{Wils:1989:HCR,
author = "Patrick Wils",
title = "Homogeneous and conformally {Ricci} flat pure
radiation fields",
journal = j-CLASS-QUANTUM-GRAV,
volume = "6",
number = "9",
pages = "1243--1251",
year = "1989",
CODEN = "CQGRDG",
ISSN = "0264-9381",
MRclass = "83C20 (83-04)",
MRnumber = "90h:83035",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "J. B. Griffiths",
}
@Article{Anonymous:1990:MMT,
author = "Anonymous",
title = "{Maple}: \$695 Math toolbox is worthy competitor for
{Mathematica}",
journal = j-PC-MAGAZINE,
pages = "48--49",
day = "27",
month = feb,
year = "1990",
ISSN = "0888-8507",
bibdate = "Sat Apr 6 16:22:44 1996",
acknowledgement = ack-ble,
}
@Book{Auer:1990:MSM,
author = "John W. Auer",
title = "{Maple} Solutions Manual for {Linear Algebra with
Applications}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "vii + 186",
year = "1990",
ISBN = "0-13-535550-8",
LCCN = "????",
bibdate = "Sun Jul 10 01:05:26 1994",
acknowledgement = ack-nhfb,
}
@Book{Borwein:1990:DRN,
author = "Jonathan Borwein and Peter Borwein",
title = "A dictionary of real numbers",
publisher = pub-WADSWORTH,
address = pub-WADSWORTH:adr,
pages = "viii + 424",
year = "1990",
ISBN = "0-534-12840-8",
LCCN = "QA47.B625 1990",
MRclass = "11-00 (11Y60 11Y70)",
MRnumber = "91g:11001",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Jeffrey O. Shallit",
}
@Article{Brak:1990:AAN,
author = "R. Brak and A. J. Guttmann",
title = "Algebraic approximants: a new method of series
analysis",
journal = j-J-PHYS-A,
volume = "23",
number = "24",
pages = "L1331--L1337",
year = "1990",
CODEN = "JPHAC5",
ISSN = "0305-4470",
MRclass = "82B80 (65H99)",
MRnumber = "92c:82065",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Marietta J. Tretter",
}
@Article{Carminati:1990:SFP,
author = "J. Carminati",
title = "Shear-free perfect fluids in general relativity. {II}.
Aligned, {Petrov} type ${\rm III}$ space-times",
journal = j-J-MATH-PHYS,
volume = "31",
number = "10",
pages = "2434--2440",
year = "1990",
CODEN = "JMAPAQ",
ISSN = "0022-2488",
MRclass = "83C55 (83-04)",
MRnumber = "91k:83052",
bibdate = "Fri Jan 02 11:30:22 1998",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "P. C. Vaidya",
}
@Book{Char:1990:FLT,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "First Leaves: {A} Tutorial Introduction to {Maple V}",
publisher = pub-WATERLOO-MAPLE,
address = pub-WATERLOO-MAPLE:adr,
edition = "Third",
pages = "122",
year = "1990",
ISBN = "0-9694580-0-2",
LCCN = "????",
bibdate = "Sun Jul 10 01:05:36 1994",
acknowledgement = ack-nhfb,
}
@Book{Char:1990:MRM,
author = "Bruce W. Char and others",
title = "{MAPLE} Reference Manual",
publisher = pub-WATERLOO-MAPLE,
address = pub-WATERLOO-MAPLE:adr,
edition = "Fifth",
year = "1990",
ISBN = "0-9694580-1-0",
LCCN = "????",
bibdate = "Wed Dec 27 16:39:53 1995",
acknowledgement = ack-nhfb,
}
@InProceedings{Char:1990:PRS,
author = "B. W. Char",
title = "Progress report on a system for general-purpose
parallel symbolic algebraic computation",
crossref = "Watanabe:1990:IPI",
pages = "96--103",
year = "1990",
bibdate = "Thu Mar 12 08:36:58 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/96877/p96-char/",
abstract = "Discusses on-going work on large-grained parallel
symbolic computation using a system based on Maple and
Linda. The prototype runs on a Sequent Balance. The
approach can be used with most existing algebra/symbol
manipulation systems and provides the potential to
deliver of parallel symbolic computation on a variety
of architectures (e.g. shared memory, hypercubes,
networked workstations). Parallel speedup was achieved
on a variety of algebraic problems, although many
significant improvements in efficiency remain to be
achieved.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN,
USA",
classification = "C4240 (Programming and algorithm theory)",
keywords = "Algebraic computation; design; languages;
Large-grained; Linda; Maple; Parallel symbolic
computation; performance; Sequent Balance; Symbol
manipulation systems",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf F.1.2} Theory of
Computation, COMPUTATION BY ABSTRACT DEVICES, Modes of
Computation, Parallelism and concurrency. {\bf I.1.3}
Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, Languages and Systems, Maple. {\bf D.3.2}
Software, PROGRAMMING LANGUAGES, Language
Classifications, Linda. {\bf D.1.3} Software,
PROGRAMMING TECHNIQUES, Concurrent Programming.",
thesaurus = "Parallel processing; Symbol manipulation",
}
@Article{Char:1990:RAM,
author = "Bruce W. Char",
title = "Report on the 7th annual maple workshop",
journal = j-SIGSAM,
volume = "24",
number = "1",
pages = "18--18",
month = jan,
year = "1990",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Fri Feb 8 18:27:00 MST 2002",
bibsource = "http://portal.acm.org/",
acknowledgement = ack-nhfb,
}
@Article{Cizek:1990:EAF,
author = "J. Cizek and F. Vinette and J. Paldus",
title = "Explicit algebraic form of coupled cluster equations
for the {PPP} model of benzene with an approximate
inclusion of triexcited clusters",
journal = j-IJQC,
volume = "38",
number = "6",
pages = "831--851",
month = dec,
year = "1990",
CODEN = "IJQCB2",
ISSN = "0020-7608",
bibdate = "Mon Sep 30 05:41:47 MDT 1996",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Waterloo Univ., Ont., Canada",
classification = "A3120P (Other semi-empirical calculations (Huckel,
generalized Huckel, PPP methods, etc.)); A3120T
(Electron correlation and CI calculations); A3640
(Atomic and molecular clusters)",
keywords = "Benzene; CI description; Coupled cluster approach;
Coupled cluster equations; Diagrammatic techniques;
Electron correlation; MAPLE; Model Hamiltonians;
Molecular electronic structure; Molecular properties;
Nonorthogonal versions; Orthogonal versions; PPP model;
Quantum mechanical description; Symbolic computation
language; Triexcited clusters; TROFF; Typesetting
language",
thesaurus = "Cluster approximation; Molecular clusters; Molecular
electron correlations; Molecular electronic states;
Organic compounds; PPP calculations",
}
@Article{Corless:1990:SHL,
author = "R. M. Corless and D. J. Jeffrey",
title = "Solution of a hydrodynamic lubrication problem with
{Maple}",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "4",
pages = "503--514 (or 503--513??)",
month = apr,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Univ. of Western Ontario,
London, Ont., Canada",
classcodes = "A4710 (General theory, simulation and other
computational methods); C7320 (Physics and Chemistry);
C6130 (Data handling techniques)",
classification = "A4710 (General theory, simulation and other
computational methods); C6130 (Data handling
techniques); C7320 (Physics and Chemistry)",
corpsource = "Dept. of Appl. Math., Univ. of Western Ontario,
London, Ont., Canada",
keywords = "algebraic; Algebraic manipulations; algebraic
transformations; Algebraic transformations;
approximation; differential equations; hydrodynamic
lubrication problem; Hydrodynamic lubrication problem;
hydrodynamics; lowest-order; Lowest-order
approximation; lubrication; manipulation;
manipulations; Maple; partial; Partial differential
equations; perturbation technique; Perturbation
technique; physics computing; symbol",
thesaurus = "Hydrodynamics; Lubrication; Physics computing; Symbol
manipulation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Fateman:1990:ATD,
author = "R. J. Fateman",
title = "Advances and trends in the design and construction of
algebraic manipulation systems",
crossref = "Watanabe:1990:IPI",
pages = "60--67",
year = "1990",
bibdate = "Thu Mar 12 08:36:58 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/96877/p60-fateman/",
abstract = "Compares and contrast several techniques for the
implementation of components of an algebraic
manipulation system. On one hand is the mathematical
algebraic approach which characterizes (for example)
IBM's Scratchpad II. On the other hand is the more ad
hoc approach which characterizes many other popular
systems (for example, Macsyma, Reduce, Maple, and
Mathematica). While the algebraic approach has
generally positive results, careful examination
suggests that there are significant remaining problems,
especially in the representation and manipulation of
analytical, as opposed to algebraic mathematics. The
author describes some of these problems, and some
general approaches for solutions.",
acknowledgement = ack-nhfb,
affiliation = "California Univ., Berkeley, CA, USA",
classification = "C4240 (Programming and algorithm theory); C7310
(Mathematics)",
keywords = "Algebraic manipulation systems; Algebraic mathematics;
design; languages; Macsyma; Maple; Mathematica;
Mathematical algebraic; Reduce; Scratchpad II",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf I.1.3} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Languages and Systems, MACSYMA.",
thesaurus = "Algebra; Symbol manipulation",
}
@InProceedings{Fee:1990:CCC,
author = "G. J. Fee",
title = "Computation of {Catalan}'s constant using
{Ramanujan}'s formula",
crossref = "Watanabe:1990:IPI",
pages = "157--160",
year = "1990",
bibdate = "Thu Mar 12 08:36:58 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/96877/p157-fee/",
abstract = "The author uses some formulas due to Ramanujan for the
multiple precision computation of Catalan's constant
$C=0.915\ldots{}$. The algorithm has been implemented
in Maple and $C$ has been computed to 20000 decimal
places. The resulting program is very simple yet
efficient. It computes $N$ digits of $C$ in $O(N^2)$
time and $O(N)$ space.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
classification = "B0290D (Functional analysis); C4120 (Functional
analysis); C4240 (Programming and algorithm theory)",
keywords = "algorithms; C; Catalan constant; Function evaluation;
languages; Maple; Ramanujan formula",
subject = "{\bf G.2.1} Mathematics of Computing, DISCRETE
MATHEMATICS, Combinatorics. {\bf I.1.3} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Languages and Systems, Maple. {\bf D.3.2} Software,
PROGRAMMING LANGUAGES, Language Classifications, C.
{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms.",
thesaurus = "Computational complexity; Function evaluation",
}
@TechReport{Gomez:1990:MFC,
author = "Claude Gomez",
title = "{MACROFORT}: a {FORTRAN} code generator in {MAPLE} =
{MACROFORT}: un g{\'{e}}n{\'{e}}rateur de code
{FORTRAN} dans {MAPLE}",
type = "Rapports techniques",
number = "119",
institution = pub-INRIA,
address = pub-INRIA:adr,
pages = "14",
year = "1990",
bibdate = "Sat Jan 27 13:40:57 MST 1996",
abstract = "MACROFORT is a package added to MAPLE which permits
complete FORTRAN 77 code generation. While using
MACROFORT, the user stays in MAPLE. He no longer deals
with FORTRAN label numbering. Complicated FORTRAN loops
are easy to do because while and until capabilities
exist in MACROFORT. The generated code can be
optimized. Two examples are given. In the first one,
MAPLE is not able to solve numerically a problem using
its own functions. In the second one, a naturally
recursive problem is easily solved by recursively
generating a FORTRAN program.",
acknowledgement = ack-nhfb,
annote = "Abstracts in English and French. ``Mai 1990''--Cover.
Includes bibliographical references.",
classification = "C6115 (Programming support); C6140D (High level
languages)",
issuedby = "Inst. Nat. Recherche Inf. Autom., Le Chesnay, France",
keywords = "FORTRAN 77 code generation; FORTRAN loops; MACROFORT;
MACROFORT (Computer programming language); MAPLE; MAPLE
(Computer programming language); Recursive problem;
Until; While",
pubcountry = "France",
thesaurus = "FORTRAN; FORTRAN listings; Macros; Software packages;
Software tools",
}
@Article{Kwong:1990:CAS,
author = "Man Kam Kwong and Mary Beth Dever",
title = "Computer-aided study of a problem in {Hermitian}
matrix theory",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "1",
pages = "87--112",
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "15A24 (65F99)",
MRnumber = "91f:15037",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Moody T. Chu",
}
@Article{Kwong:1990:KCM,
author = "Man Kam Kwong",
title = "On the {Kolodner-Coffman} method for the uniqueness
problem of {Emden-Fowler BVP}",
journal = j-ZEIT-ANGE-MATH-PHYS,
volume = "41",
number = "1",
pages = "79--104",
year = "1990",
CODEN = "ZAMMAX",
ISSN = "0044-2267",
MRclass = "34B15 (35J99 85A99)",
MRnumber = "91b:34037",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Vladimir P. Maksimov",
}
@Article{Levine:1990:MV,
author = "Minna Levine and Linda Custer",
title = "{Mathematica}, Version 1.2",
journal = j-MACUSER,
pages = "148--154, 156, 158, 160, 162, 164",
month = nov,
year = "1990",
CODEN = "MCUSEY",
ISSN = "0884-0997",
bibdate = "Fri Apr 12 10:00:05 1996",
note = "Requires IBM PC or; compatibles; 4MB RAM, DOS 3.0 or
later. Discusses Mathematica, Theorist, Maple, and
Milo.",
acknowledgement = ack-nhfb,
keywords = "application software and utilities; Computing and
communications; Full-featured, text-based symbol
processor; Individual Products; mathematical programs",
}
@Article{Michler:1990:SPC,
author = "Gerhard O. Michler",
title = "Some problems in computational representation theory.
Computational group theory, Part {I}.",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "5-6",
pages = "571--582",
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "20C40 (20C15 20C20 68Q40)",
MRnumber = "91k:20022",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "David B. Surowski",
}
@Article{Pakes:1990:SRS,
author = "Anthony G. Pakes",
title = "On series of reciprocal sums of powers",
journal = j-AUSTRALIAN-MATH-SOC-GAZ,
volume = "17",
number = "3",
pages = "61--68",
year = "1990",
MRclass = "11A99 (11Y35)",
MRnumber = "91k:11013",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "F. Beukers",
}
@Article{Scott:1990:PSQa,
author = "T. C. Scott and R. A. Moore and G. J. Fee and M. B.
Monagan and G. Labahn and K. O. Geddes",
title = "Perturbative solutions of quantum mechanical problems
by symbolic computation: a review",
journal = j-INT-J-MOD-PHYS-C,
volume = "1",
number = "1",
pages = "53--76",
year = "1990",
CODEN = "IJMPEO",
ISSN = "0129-1831",
MRclass = "81Q15 (81-02 81-08)",
MRnumber = "91f:81034",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Scott:1990:PSQb,
author = "T. C. Scott and R. A. Moore and M. B. Monagan and G.
J. Fee and E. R. Vrscay",
title = "Perturbative solutions of quantum mechanical problems
by symbolic computation",
journal = j-J-COMP-PHYS,
volume = "87",
number = "2",
pages = "366--395",
year = "1990",
CODEN = "JCTPAH",
ISSN = "0021-9991",
MRclass = "81Q15 (81-08 81V45)",
MRnumber = "91b:81025",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Scott:1990:SAM,
author = "Tony C. Scott and Greg J. Fee",
title = "Some applications of {Maple} symbolic computation to
scientific and engineering problems",
crossref = "Watanabe:1990:IPI",
pages = "302--303",
year = "1990",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "Compendex database",
abstract = "Due to obvious space restrictions, it is impossible to
present an exhaustive survey of where the Maple
symbolic computation system [CGG+ 88] has proven itself
useful as a problem-solver. Rather, we highlight some
of the projects associated with the authors, at the
University of Waterloo, and consequently present only a
sample of what has and can be done with symbolic
computation. However, these examples have been chosen
from a broad spectrum of areas which includes: Quantum
theory, General and Special Relativity, Audio
Engineering and Asbestos fiber analysis (an application
of Fluid and Magneto-dynamics). They represent new
avenues of research and illustrate the large untapped
potential of symbolic computation.",
acknowledgement = ack-nhfb,
affiliation = "Maple Symbolic Comput. Group, Waterloo Univ., Ont.,
Canada",
classification = "721; 723; 921; C7300 (Natural sciences); C7400
(Engineering)",
keywords = "Applications; Asbestos fiber analysis; Audio
engineering; Automata Theory --- Computability and
Decidability; Computer Software; General relativity;
Maple; Mathematical Techniques --- Algebra; Quantum
theory; Special relativity; Symbolic computation;
Symbolic Computation System Maple",
thesaurus = "Engineering computing; Natural sciences computing;
Symbol manipulation",
}
@Article{Stephenson:1990:NSF,
author = "John Stephenson and Yong Wang",
title = "Numerical solution of {Feigenbaum}'s equation",
journal = j-APPL-MATH-NOTES,
volume = "15",
pages = "68--78",
year = "1990",
ISSN = "0700-9224",
MRclass = "58F13 (70K50)",
MRnumber = "92c:58085",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "James D. Meiss",
}
@MastersThesis{Wang:1990:UMS,
author = "Rongdong Wang",
title = "Using {MAPLE} for symbolic computations in robotics",
type = "Thesis (M.S.)",
school = "Northern Illinois University",
address = "DeKalb, IL, USA",
year = "1990",
bibdate = "Fri Dec 29 12:52:15 1995",
acknowledgement = ack-nhfb,
}
@Article{Wegrzyn:1990:SMD,
author = "Stefan W{\k{e}}grzyn and Pierre Vidal and Jean-Charles
Gille",
title = "On some models for developmental systems. {XII}. More
on internal context sensitivity",
journal = j-INT-J-SYST-SCI,
volume = "21",
number = "8",
pages = "1441--1449",
year = "1990",
CODEN = "IJSYA9",
ISSN = "0020-7721",
MRclass = "93A10 (93B35)",
MRnumber = "91h:93002",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Guy Jumarie",
}
@InProceedings{Wiwianka:1990:ADC,
author = "W. Wiwianka and B. Fuchssteiner",
booktitle = "Nonlinear evolution equations and dynamical systems
(Kolymbari, 1989)",
title = "Algorithms to detect complete integrability in $1+1$
dimension",
publisher = pub-SV,
address = "Berlin, Germany",
pages = "131--135",
year = "1990",
MRclass = "58F07 (58-04)",
MRnumber = "91g:58136",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "Res. Rep. Phys.",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Almkvist:1991:MPF,
author = "G. Almkvist and D. Zeilberger",
title = "A {MAPLE} program that finds, and proves, recurrences
and differential equations satisfied by
hyperexponential definite integrals",
journal = j-SIGSAM,
volume = "25",
number = "3",
pages = "14--17",
month = jul,
year = "1991",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Mon Sep 30 05:41:47 MDT 1996",
abstract = "In J. Symbolic Computation, vol.10, p.571 (1990), the
authors described an algorithm that given a
hyperexponential function of two variables F(x,y),
produces a differential equation satisfied by
A(x):=/sub - infinity / integral /sup infinity
/F(x,y)dy. A function F(x,y) is hyperexponential if
both F/sub x/(x,y)/F(x,y) and F/sub y/(x,y)/F(x,y) are
rational functions of (x,y). A(x) always satisfies a
linear differential equation with polynomial
coefficients. The authors give a MAPLE program that
implements that algorithm. The same algorithm, and
program also finds, and proves, linear recurrences
satisfied by expressions of the form A(n):=/sub -
infinity / integral /sup infinity /F(n,y)dy, where
F(n,y) is hyperexponential in y and hypergeometric in
n: D/sub y/F(n,y)/F(n,y) and F(n+1,y)/F(n,y) are both
rational functions in (n,y). Since many special
function identities have one of the above forms, the
authors' program is able to prove many non-trivial
identities in the theory of special functions.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Lund Univ., Sweden",
classification = "C7310 (Mathematics)",
keywords = "Differential equations; Hyperexponential definite
integrals; Hypergeometric function; Linear recurrences;
MAPLE program; Polynomial coefficients; Proofs;
Rational functions; Special function identities",
thesaurus = "Differential equations; Integral equations;
Mathematics computing; Symbol manipulation; Theorem
proving",
}
@InProceedings{Aluffi:1991:HMS,
author = "Paolo Aluffi",
title = "How many smooth plane cubics with given $j$-invariant
are tangent to $8$ lines in general position?",
crossref = "Kleiman:1991:EAG",
pages = "15--29",
year = "1991",
MRclass = "14N10 (14C17 14H45)",
MRnumber = "93e:14063",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Raquel Mallavibarrena",
}
@Book{Auer:1991:LAA,
author = "John W. Auer",
title = "Linear Algebra with Applications",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xv + 548",
year = "1991",
ISBN = "0-13-538349-8",
LCCN = "QA 184 A84 1991",
bibdate = "Fri Jul 08 10:16:13 1994",
acknowledgement = ack-nhfb,
keywords = "{Maple}",
}
@InProceedings{Augot:1991:MDS,
author = "D. Augot and P. Charpin and N. Sendrier",
title = "The minimum distance of some binary codes via the
{Newton}'s identities",
crossref = "Cohen:1991:EIS",
pages = "65--73",
year = "1991",
MRclass = "94B15",
MRnumber = "92k:94024",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Bauldry:1991:CLM,
author = "William C. Bauldry and Joseph R. Fiedler",
title = "Calculus Laboratories with {Maple}: {A} Tool, Not an
Oracle",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xii + 144",
year = "1991",
ISBN = "0-534-13788-1",
LCCN = "MLCM 90/01887 (Q)",
bibdate = "Mon Aug 22 14:13:24 1994",
acknowledgement = ack-nhfb,
}
@Article{Bisoi:1991:MPG,
author = "A. K. Bisoi",
title = "A {Maple} program to generate orthonormal
polynomials",
journal = j-COMP-MATH-APPL,
volume = "22",
number = "9",
pages = "1--5",
month = "",
year = "1991",
CODEN = "CMAPDK",
ISSN = "0097-4943",
bibdate = "Mon Sep 30 05:36:13 MDT 1996",
abstract = "A program in the symbolic manipulation language Maple
has been developed for generating orthonormal
polynomials over (-1, 1) with the weight function w(x,
k)=x/sup k/, for even k. The program also finds the
roots of these polynomials and expands a test function
in terms of these polynomials.",
acknowledgement = ack-nhfb,
affiliation = "Int. Center for Theor. Phys., Trieste, Italy",
classification = "C4130 (Interpolation and function approximation);
C7310 (Mathematics)",
keywords = "Maple program; Orthonormal polynomials; Roots;
Symbolic manipulation language; Test function; Weight
function",
pubcountry = "UK",
thesaurus = "Complete computer programs; Mathematics computing;
Polynomials; Symbol manipulation",
}
@InProceedings{Broer:1991:HST,
author = "Bram Broer",
booktitle = "Computational aspects of Lie group representations and
related topics (Amsterdam, 1990)",
title = "{Hilbert} series for ternary forms",
volume = "84",
publisher = "Math. Centrum, Centrum Wisk. Inform.",
address = "Amsterdam, The Netherlands",
pages = "1--18",
year = "1991",
MRclass = "11E57 (11E20 20G05 20G45)",
MRnumber = "92m:11041",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "CWI Tract",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Rainer Schulze-Pillot",
}
@InProceedings{Bronstein:1991:RDE,
author = "Manuel Bronstein",
title = "The {Risch} differential equation on an algebraic
curve",
crossref = "Watt:1991:IPI",
pages = "241--246",
year = "1991",
bibdate = "Thu Mar 12 08:38:03 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p241-bronstein/",
abstract = "The author presents a new rational algorithm for
solving Risch differential equations over algebraic
curves. This algorithm can also be used to solve
$n^{\mbox{th}}$-order linear ordinary differential
equations with coefficients in an algebraic extension
of the rational functions. In the general (`mixed
function') case, this algorithm finds the denominator
of any solution of the equation. The algorithm has been
implemented in the Maple and Scratchpad computer
algebra systems.",
acknowledgement = ack-nhfb,
affiliation = "Inf. ETH-Zentrum, Zurich, Switzerland",
classification = "C4170 (Differential equations); C7310
(Mathematics)",
keywords = "$N^{th}$-order linear ordinary differential equations;
Algebraic curve; algorithms; Computer algebra systems;
Maple; Rational algorithm; Rational functions; Risch
differential equation; Scratchpad",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf G.1.3} Mathematics of Computing,
NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear
systems (direct and iterative methods). {\bf I.1.3}
Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, Languages and Systems, SCRATCHPAD. {\bf
G.1.7} Mathematics of Computing, NUMERICAL ANALYSIS,
Ordinary Differential Equations. {\bf I.1.3} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Languages and Systems, Maple.",
thesaurus = "Differential equations; Symbol manipulation",
}
@Article{Broughan:1991:SSC,
author = "K. A. Broughan and G. Keady and T. D. Robb and M. G.
Richardson and M. C. Dewar",
title = "Some Symbolic Computing Links to the {NAG} Numeric
Library",
journal = j-SIGSAM,
volume = "25",
number = "3",
pages = "28--37",
month = jul,
year = "1991",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Fri Feb 8 18:27:01 MST 2002",
bibsource = "http://portal.acm.org/",
abstract = "This article intended to help readers compare the
three products, SENAC, InterCall and IRENA. Each of the
three is in the Numerical Algorithms Group (Fortran
77). SENAC is a package developed by the Mathematical
Software Project at the University of Waikato. SENAC
includes a symbolic manipulation interpreter (Sencore),
together with high level interfaces to the NAG Fortran
Library (Numlink) and NAG Graphics Library (Graflink).
The system evolved from an interface, Naglink, between
the NAG Library and the symbolic manipulation language
Macsyma. The Sensore interpreter is written in Common
LISP and belongs to the Macsyma/Maple/Reduce family of
languages. It is easy to load user-written files
written in Common LISP or in SENAC. InterCall is a
Mathematica package that enables its user to
interactively call external code, for example from an
external numeric library. It allows various default
settings to be defined for any arguments that need to
be passed to any routine in that code, and initial
default settings for all the routines in the IMSL and
NAG libraries are included with InterCall in the form
of a small defaults-database file. IRENA-an Interface
from Reduce to NAG-runs under the Reduce computer
algebra system and provides an interactive front end to
the NAG Library. It has been designed to make the use
of the NAG Library considerably simpler, in a number of
ways.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Stat., Waikato Univ., Hamilton, New
Zealand",
classcodes = "C7310 (Mathematics); C6180 (User interfaces)",
classification = "C6180 (User interfaces); C7310 (Mathematics)",
corpsource = "Dept. of Math. and Stat., Waikato Univ., Hamilton, New
Zealand",
issue = "97",
keywords = "algebra system; argument passing; Argument passing;
Common LISP; computer; Computer algebra system;
default; Default settings; defaults-database file;
Defaults-database file; external code; External code;
FORTRAN; Graflink; high level; High level interfaces;
IMSL; interactive front end; Interactive front end;
InterCall; interfaces; IRENA; Library; Macsyma;
Mathematica package; NAG Fortran Library; NAG Graphics;
NAG Graphics Library; Naglink; numeric library; Numeric
library; Numerical Algorithms Group; Numlink; Reduce;
SENAC; Sencore; settings; subroutines; symbol
manipulation; symbolic computing; Symbolic computing;
symbolic manipulation interpreter; Symbolic
manipulation interpreter; user interfaces; user-written
files; User-written files",
thesaurus = "FORTRAN; Subroutines; Symbol manipulation; User
interfaces",
treatment = "P Practical; R Product Review",
}
@InProceedings{Bryant:1991:TEH,
author = "Robert L. Bryant",
title = "Two exotic holonomies in dimension four, path
geometries, and twistor theory",
crossref = "Carlson:1991:CGL",
pages = "33--88",
year = "1991",
MRclass = "53C05 (32L25 53A55 53C15)",
MRnumber = "93e:53030",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "S. M. Salamon",
}
@MastersThesis{Bui:1991:ABE,
author = "Thi to Hong Bui",
title = "Algorithmen zur Bestimmung Einiger Eigenschaften von
Reellen Funktionen",
school = "Technischen Universit{\"{a}}t Carolo-Wilhelmina zu
Braunschweig",
address = "Braunschweig, Germany",
year = "1991",
bibdate = "Sat Dec 30 09:06:59 1995",
acknowledgement = ack-nhfb,
annote = "Bei der Untersuchung einer Reelwertigen Funktion
Ermittelt Man Einige Eigenschaften Oder Spezielle
Stuetzpunkte Wie Symmetrie, Extrem- und Nullstellen
Usw., Umm Gewisse Aussagen ueber Ihr Verhalten Bzw. Ihr
Kurvenbild Machen zu Koennen. Eserhebt sich die Frage,
Ob Man Diese Vorgehensweise Algorithmisch Erfassen
Kann. in Dieser Diplomarbeit Werden Algorithmen zur
Bestimmung Einiger Eigenschaften Reelwertiger
Funktionen Formuliert. MIT Hilfe von Grammatiken Lassen
sich Diese Funktionen Erkennen und in Funktionsklassen
Gruppieren. auf der Grundlage Diesergrammatiken und
durch Anwendung Bekannter Saetze aus der Analysis
Werden die Algorithmen Konstruiert. Sie Sollen Spaeter
MIT der Speziellen Programmiersprache Maple
Implementiert Werden.",
descriptor = "Kurvendiskussion, Maple, Reelle Funktion",
}
@Article{Carminati:1991:AIR,
author = "J. Carminati and R. G. McLenaghan",
title = "Algebraic invariants of the {Riemann} tensor in a
four-dimensional {Lorentzian} space",
journal = j-J-MATH-PHYS,
volume = "32",
number = "11",
pages = "3135--3140",
year = "1991",
CODEN = "JMAPAQ",
ISSN = "0022-2488",
MRclass = "83C60 (53C80 83C20 83C99)",
MRnumber = "93c:83081",
bibdate = "Fri Jan 02 11:30:32 1998",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Garry Ludwig",
}
@TechReport{Char:1991:MLR,
author = "Bruce W. Char and others",
title = "{Maple} Language Reference Manual",
institution = inst-WATERLOO,
address = inst-WATERLOO:adr,
pages = "ii + 153",
year = "1991",
bibdate = "Wed Dec 27 16:39:54 1995",
note = "Pre-publication manuscript",
acknowledgement = ack-nhfb,
}
@Book{Char:1991:MLV,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "{Maple} Library {V} Reference Manual",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxv + 698",
year = "1991",
ISBN = "0-387-97592-6, 3-540-97592-6",
LCCN = "QA155.7.E4 M353 1991",
bibdate = "Fri Jul 08 19:01:01 1994",
price = "US\$39.00",
acknowledgement = ack-nhfb,
}
@Book{Char:1991:MVL,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "{Maple V}: Language Reference Manual",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xv + 267",
year = "1991",
ISBN = "0-387-97622-1 (New York), 3-540-97622-1 (Berlin)",
LCCN = "QA155.7.E4 M36 1991",
bibdate = "Wed Dec 01 12:17:05 1993",
price = "US\$24.95, FF 193,00",
acknowledgement = ack-nhfb,
}
@Article{Char:1991:RAM,
author = "Bruce W. Char",
title = "Report on the 8th {Annual Maple Workshop}",
journal = j-SIGSAM,
volume = "25",
number = "1",
pages = "24--24",
month = jan,
year = "1991",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Fri Sep 06 07:03:09 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{deJager:1991:SCZ,
author = "Bram de Jager",
title = "Symbolic calculation of zero dynamics for nonlinear
control systems",
crossref = "Watt:1991:IPI",
pages = "321--322",
year = "1991",
bibdate = "Thu Mar 12 08:38:03 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p321-de_jager/",
abstract = "The calculation of the zero dynamics of a nonlinear
system is of advantage in the design of controllers for
this system. Because the calculation is difficult to do
by hand, symbolic algebra programs are used. To access
the usefulness of these programs and to solve some
design problems, a MAPLE procedure, ZERODYN, is written
to calculate the zero dynamics symbolically. The
procedure can, however, not solve all problems, mainly
because general symbolic algebra programs have
insufficient capabilities to solve sets of nonlinear
equations and partial differential equations. A
realistic analysis problem shows this.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Mech. Eng., Eindhoven Univ. of Technol.,
Netherlands",
classification = "C1340K (Nonlinear systems); C7310 (Mathematics)",
keywords = "algorithms; experimentation; MAPLE procedure;
Nonlinear control systems; Nonlinear system; Partial
differential equations; Symbolic algebra; Zero
dynamics; ZERODYN",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple.",
thesaurus = "Nonlinear control systems; Symbol manipulation",
}
@Article{Garbey:1991:UMA,
author = "Marc Garbey and Hans G. Kaper and Gary K. Leaf and
Bernard J. Matkowsky",
title = "Using {MAPLE} for the Analysis of Bifurcation
Phenomena in Condensed-Phase Surface Combustion",
journal = j-J-SYMBOLIC-COMP,
volume = "12",
number = "1",
pages = "89--114 (or 89--113??)",
month = jul,
year = "1991",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40",
MRnumber = "1 124 306",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
affiliation = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL,
USA",
classcodes = "C7310 (Mathematics); C4170 (Differential equations);
C4150 (Nonlinear and functional equations)",
classification = "C4150 (Nonlinear and functional equations); C4170
(Differential equations); C7310 (Mathematics)",
corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL,
USA",
keywords = "bifurcation phenomena; Bifurcation phenomena; boundary
value; Boundary value problem; boundary-value problems;
combustion; condensed-phase surface; Condensed-phase
surface combustion; cylindrical solid fuel element;
Cylindrical solid fuel element; MAPLE; nonlinear
differential equations; nonlinear partial differential
equations; Nonlinear partial differential equations;
partial differential equations; problem; stability
properties; Stability properties; structure; Structure;
symbol manipulation; symbolic manipulation language;
Symbolic manipulation language",
thesaurus = "Boundary-value problems; Nonlinear differential
equations; Partial differential equations; Symbol
manipulation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Gaubert:1991:RCD,
author = "St{\'e}phane Gaubert and Carlos Klimann",
booktitle = "Algebraic computing in control (Paris, 1991)",
title = "Rational computation in dioid algebra and its
application to performance evaluation of discrete event
systems",
volume = "165",
publisher = pub-SV,
address = "Berlin, Germany",
pages = "241--252",
year = "1991",
MRclass = "93B40 (65K05)",
MRnumber = "92k:93060",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "Lecture Notes in Control and Inform. Sci.",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Grotendorst:1991:MPT,
author = "J. Grotendorst",
title = "{Maple} package for transforming series, sequences and
functions",
journal = j-COMP-PHYS-COMM,
volume = "67",
number = "2",
pages = "325--342",
month = dec,
year = "1991",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
MRclass = "65B10 (65-04)",
MRnumber = "140 050",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "In recent years many powerful sequence
transformations, mainly nonlinear methods, for
increasing the rate and expanding the domain of the
convergence of series (sequences) were designed. The
program trans is a revised package of Maple functions
for transforming symbolic and numerical series
(sequences) as well as functions having formal series
expansions. Each sequence transformation is performed
using a special recursive algorithm. This approach
yields more efficient programs compared to an
implementation via the general extrapolation algorithm
of Brezinski and Havie which contains many of the
transformations as special cases. The new Maple package
trans differs from the original (Comput. Phys. Commun.
59 (1990) 289) in efficiency, extended capabilities and
revised notation.",
acknowledgement = ack-nhfb,
affiliation = "Forschungszentrum Juelich GmbH",
affiliationaddress = "Juelich, Ger",
classification = "723; 921; 931",
journalabr = "Comput Phys Commun",
keywords = "Computer Programming Languages --- Applications;
Convergence Acceleration; Divergent Series; Maple V
Computer Software; Mathematical Techniques;
Mathematical Techniques --- Algorithms; Mathematical
Transformations --- Computer Applications; Numerical
Methods; Quantum Theory --- Computer Applications;
Rational Approximation; Recursive And Extrapolation
Algorithms; Series, Sequence And Function
Transformations",
}
@Book{Harper:1991:GCA,
author = "David Harper and Chris Wooff and David Hodgkinson",
title = "A Guide to Computer Algebra Systems",
publisher = pub-JW,
address = pub-JW:adr,
pages = "xii + 148",
year = "1991",
ISBN = "0-471-92910-7",
LCCN = "QA155.7.E4 H37 1991",
bibdate = "Wed Jun 15 11:46:03 1994",
acknowledgement = ack-nhfb,
keywords = "{Maple}",
}
@Article{Jank:1991:CMU,
author = "G. Jank and L. H. Tack",
title = "Conformal Mapping Using {Bergman}'s Method and the
{MAPLE} System",
journal = j-SIGSAM,
volume = "25",
number = "2",
pages = "18--23",
month = apr,
year = "1991",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Kleczka:1991:SCA,
author = "W. Kleczka and E. Kreuzer",
title = "Systematic computer-aided analysis of dynamic
systems",
crossref = "Watt:1991:IPI",
pages = "429--430",
year = "1991",
bibdate = "Thu Mar 12 08:38:03 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p429-kleczka/",
abstract = "An automated numerical-symbolical analysis concept for
dynamic systems in engineering mechanics is outlined.
Besides the computerized generation of symbolic
equations of motion, the subsequent analysis is also
performed by means of computer algebra in combination
with well-established numerical methods.",
acknowledgement = ack-nhfb,
affiliation = "Meerestech. II, Tech. Univ., Hamburg-Harburg,
Germany",
classification = "C1210 (General system theory); C7440 (Civil and
mechanical engineering)",
keywords = "algorithms; Computer-aided analysis; Dynamic systems;
Engineering mechanics; Numerical-symbolical analysis;
Symbolic equations",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf J.2} Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING,
Engineering. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple. {\bf G.1.3} Mathematics of Computing,
NUMERICAL ANALYSIS, Numerical Linear Algebra,
Eigenvalues and eigenvectors (direct and iterative
methods).",
thesaurus = "Computer aided analysis; Convergence of numerical
methods; Mechanical engineering computing; Symbol
manipulation",
}
@Article{Koepf:1991:TCM,
author = "Wolfram Koepf",
title = "On two conjectures of {M. S. Robertson}",
journal = j-COMPLEX-VARIABLES-THEORY-APPL,
volume = "16",
number = "2-3",
pages = "127--130",
year = "1991",
CODEN = "CVTADV",
ISSN = "0278-1077",
MRclass = "30B10 (30-04 68Q40)",
MRnumber = "92f:30004",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "P. Lappan",
}
@InProceedings{Koornwinder:1991:HHS,
author = "Tom H. Koornwinder",
booktitle = "Orthogonal polynomials and their applications (Erice,
1990)",
title = "Handling hypergeometric series in {Maple}",
volume = "9",
publisher = pub-BALTZER,
address = pub-BALTZER:adr,
pages = "73--80",
year = "1991",
MRclass = "33C20 (33-04)",
MRnumber = "95f:33006",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "IMACS Ann. Comput. Appl. Math.",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Harold Exton",
}
@InCollection{LeVey:1991:JUM,
author = "G. {Le Vey} and J. Masse",
booktitle = "Algebraic computing in control (Paris, 1991)",
title = "Joint use of {Maple} and {Basile}: using computer
algebra in a {CACSD} environment",
volume = "165",
publisher = pub-SV,
address = pub-SV:adr,
pages = "156--164",
year = "1991",
MRclass = "93B40",
MRnumber = "MR1151203",
bibdate = "Sat Apr 16 17:28:34 2005",
series = "Lecture Notes in Control and Inform. Sci.",
}
@Article{Kwong:1991:NIP,
author = "Man Kam Kwong and A. Zettl",
title = "Norm inequalities for the powers of a matrix",
journal = j-AMER-MATH-MONTHLY,
volume = "98",
number = "6",
pages = "533--538",
year = "1991",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "15A60 (15-04)",
MRnumber = "92c:15027",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Shao Kuan Li",
}
@Article{Lassalle:1991:PCO,
author = "Michel Lassalle",
title = "Polyn{\^o}mes de {Jacobi} g{\'e}n{\'e}ralis{\'e}s
(French) [Generalized {Jacobi} polynomials]",
journal = j-C-R-MATH-I,
volume = "312",
number = "6",
pages = "425--428",
year = "1991",
CODEN = "CHASAP",
ISSN = "0764-4442",
MRclass = "33C45 (33C50)",
MRnumber = "92g:33019",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Peter A. McCoy",
}
@InProceedings{Pecelli:1991:FMD,
author = "Giampiero Pecelli",
title = "Formal methods in delay-differential equations",
crossref = "Watt:1991:IPI",
pages = "317--318",
year = "1991",
bibdate = "Thu Mar 12 08:38:03 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p317-pecelli/",
abstract = "Studies formal methods in the solution of
delay-differential equations (DDEs). The motivation for
such study comes from the introduction of Hopf
bifurcation techniques and the method of averaging to
the study of stable oscillations in such systems. The
author concentrates on the formal aspects associated
with the construction of solutions required for an
application of the methods. These classes of solutions
are quite simple, being solutions to linear systems.
The paper concentrates on completing the formalization
and showing that an automated system is possible.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Lowell Univ., MA, USA",
classification = "C4170 (Differential equations)",
keywords = "algorithms; DDEs; Delay-differential equations; Formal
methods; Hopf bifurcation; Stable oscillations",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms. {\bf G.1.3}
Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
Linear Algebra. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple.",
thesaurus = "Differential equations",
}
@InProceedings{Ponce-Nunez:1991:GHB,
author = "E. J. Ponce-N{\'u}{\~n}ez and E. Gamero",
title = "Generating {Hopf} bifurcation formulae with {MAPLE}",
crossref = "Seydel:1991:BCA",
pages = "295--299",
year = "1991",
MRclass = "58F14 (58-04 65L99)",
MRnumber = "92e:58147",
bibdate = "Sat Aug 17 16:30:01 1996",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Salvy:1991:EAA,
author = "B. Salvy",
title = "Examples of automatic asymptotic expansions",
journal = j-SIGSAM,
volume = "25",
number = "2",
pages = "4--17",
month = apr,
year = "1991",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Mon Sep 30 05:41:47 MDT 1996",
abstract = "Describes the current state of a Maple library, gdev,
designed to perform asymptotic expansions for a large
class of expressions. Many examples are provided, along
with a short sketch of the underlying principles. At
the time when this report is written, a striking
feature of these examples is that none of them can be
computed directly with any of today's most widespread
symbolic computation systems (Macsyma, Mathematica,
Maple or Scratchpad II).",
acknowledgement = ack-nhfb,
affiliation = "LIX, Ecole Polytech., Palaiseau, France",
classification = "C6130 (Data handling techniques); C7310
(Mathematics)",
keywords = "Automatic asymptotic expansions; Expressions; Gdev;
Maple library; Symbolic computation systems",
thesaurus = "Symbol manipulation",
}
@Article{Sira-Ramirez:1991:SSM,
author = "Hebertt Sira-Ramirez and Miguel Rios-Bol\'\i var",
title = "Synthesis of sliding-mode controllers for nonlinear
systems via extended linearization",
journal = j-DYNAMICS-CONTROL,
volume = "1",
number = "4",
pages = "379--403",
year = "1991",
MRclass = "93B12 (93B50)",
MRnumber = "92j:93025",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "H. A. Nour Eldin",
}
@InProceedings{Vey:1991:JUM,
author = "G. {Le Vey} and J. Masse",
booktitle = "Algebraic computing in control (Paris, 1991)",
title = "Joint use of {Maple} and {Basile}: using computer
algebra in a {CACSD} environment",
volume = "165",
publisher = pub-SV,
address = "Berlin, Germany",
pages = "156--164",
year = "1991",
MRclass = "93B40",
MRnumber = "151 203",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "Lecture Notes in Control and Inform. Sci.",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Vinette:1991:FSC,
author = "F. Vinette",
title = "Features of symbolic computation exploited in the
calculation of lower energy bounds of cyclic polyene
models",
crossref = "Watt:1991:IPI",
pages = "458--459",
year = "1991",
bibdate = "Thu Mar 12 08:38:03 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/120694/p458-vinette/",
abstract = "Symbolic computation has been applied in many
scientific disciplines and has proved to be a very
valuable research tool. In earlier studies, features of
symbolic computation including algebraic manipulations
and high decimal precision, were shown to be very
useful to solve nonrelativistic quantum mechanical
problems. The author illustrates the valuable
assistance of symbolic computation in solving quantum
chemical problems. The symbolic computational language
MAPLE is used throughout this study. The computational
aspects of the application of L{\"o}wdin's Optimized
Inner Projection (OIP) to determine lower bounds to the
ground state energy of the Pariser-Parr-Pople (PPP)
model of cyclic polyenes, is briefly presented. A
diagrammatic approach for evaluating the required
matrix elements is needed: this method is often used in
quantum chemistry. The evaluation of Brandow diagrams,
which is very tedious and almost impossible to do by
hand, is easily obtained using MAPLE.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Stat., York Univ., North York,
Ont., Canada",
classification = "A3115 (General mathematical and computational
developments); A3120 (Specific calculations and
results); C7320 (Physics and Chemistry)",
keywords = "algorithms; Brandow diagrams; Cyclic polyene models;
Ground state energy; languages; Lower energy bounds;
MAPLE; Optimized Inner Projection; Pariser-Parr-Pople;
Quantum chemical problems; Symbolic computation",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf J.2} Computer
Applications, PHYSICAL SCIENCES AND ENGINEERING,
Chemistry. {\bf I.1.4} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Applications. {\bf
I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, Languages and Systems, Maple. {\bf D.3.2}
Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN.",
thesaurus = "Chemistry computing; Molecular energy level
calculations; Organic compounds; Quantum chemistry;
Symbol manipulation",
}
@Article{Wang:1991:ACZ,
author = "Rongdong Wang and Peng-Yung Woo",
title = "Automatic computation of {Z} and inverse {Z}
transformations by {MAPLE}",
journal = "IECON Proceedings (Industrial Electronics
Conference)",
volume = "2",
pages = "1092--1094",
year = "1991",
CODEN = "IEPREA",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
note = "IEEE catalog number 91CH2976-9.",
abstract = "Programs are presented for automatic generation of
z-transformations and inverse z-transformations, by
using the algebraic manipulation software MAPLE. They
are easy to use. The users only need to type into the
computer the time-domain expression of a function, and
the program will yield a z-domain expression of that
specified function. Similarly, another program will
yield a time-domain expression from a z-domain
expression of a function. Examples are given.",
acknowledgement = ack-nhfb,
affiliation = "Dept of Math, Texas A\&I Univ, Kingsville, TX, USA",
classification = "723.1; 731.1; 731.5; 921.6",
conference = "Proceedings of the 1991 International Conference on
Industrial Electronics, Control and Instrumentation ---
IECON '91",
conferenceyear = "1991",
journalabr = "IECON Proc",
keywords = "Automatic computation; Computer aided analysis;
Computer software; Robotics; Software package Maple;
Time domain analysis; Z Transforms",
meetingaddress = "Kobe, Japan",
meetingdate = "Oct 28--Nov 1 1991",
meetingdate2 = "10/28--11/01/91",
publisherinfo = "Computer Society",
sponsor = "IEEE Industrial Electronics Soc; Soc of Instrument \&
Control Engineers of Japan",
}
@Book{Zauitsev:1991:CDG,
author = "V. F. Za{\u\i}tsev and A. V. Flegontov",
title = "{\cyr Diskretno-gruppovye metody integrirovaniya
obyknovennykh differentsial\cprime nykh uravneni\u\i}.
({Russian}) [{Discrete-group} methods for the
integration of ordinary differential equations]",
publisher = "Akad. Nauk SSSR, Leningrad. Inst. Inform. Avtomat.",
address = "Leningrad, Russia",
pages = "240",
year = "1991",
ISBN = "5-201-10181-X",
LCCN = "QA155.7.E4 Z3 1991",
MRclass = "34A05 (34-04 34A34 58F37)",
MRnumber = "94e:34004",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Maria Clara Nucci",
}
@Article{Zeilberger:1991:MPP,
author = "Doron Zeilberger",
title = "A {Maple} program for proving hypergeometric
identities",
journal = j-SIGSAM,
volume = "25",
number = "3",
pages = "4--13",
month = jul,
year = "1991",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Fri Feb 8 18:27:01 MST 2002",
bibsource = "http://portal.acm.org/",
abstract = "Gives the listing of a MAPLE program for implementing
an algorithm for proving any terminating definite
hypergeometric identity, and more generally, for
finding the linear recurrence satisfied by any definite
hypergeometric sum R(n):= Sigma /sub k/F(n,k), where
F(n,k) has the form x/sup k/( Pi /sub i=1//sup m/(
alpha /sub i/n+ beta /sub i/k+c/sub i/)!/ Pi /sub
i'=1//sup m'/( alpha '/sub i'/n+ beta '/sub i'/k+c'/sub
i'/)!). The algorithm for definite hypergeometric
summation relies on Gosper's (1978) ingenious decision
procedure for indefinite summation, but not in the
obvious way!.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Comput. Sci., Drexel Univ.,
Philadelphia, PA, USA",
classcodes = "C7310 (Mathematics)",
classification = "C7310 (Mathematics)",
corpsource = "Dept. of Math. and Comput. Sci., Drexel Univ.,
Philadelphia, PA, USA",
issue = "97",
keywords = "definite; Definite hypergeometric summation;
hypergeometric identity; hypergeometric summation;
linear recurrence; Linear recurrence; manipulation;
MAPLE program; mathematics computing; proofs; Proofs;
public domain software; shareware; Shareware; symbol;
terminating definite; Terminating definite
hypergeometric identity; theorem proving",
thesaurus = "Mathematics computing; Public domain software; Symbol
manipulation; Theorem proving",
treatment = "P Practical",
}
@Article{Anonymous:1992:MV,
author = "Anonymous",
title = "{Maple V}",
journal = j-MACWORLD,
volume = "9",
number = "5",
pages = "190--190",
month = may,
year = "1992",
CODEN = "MACWEA",
ISSN = "0741-8647",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Symbolic math software",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1992:SR,
author = "Anonymous",
title = "Software Reviews",
journal = j-MATH-COMP-EDU,
volume = "26",
number = "3",
pages = "337--??",
month = "Fall",
year = "1992",
CODEN = "MCEDDA",
ISSN = "0730-8639",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Maple V: Student Edition; Objectlogo; Persuasion.",
acknowledgement = ack-nhfb,
}
@Book{Anton:1992:CAG,
author = "Howard Anton and Albert Herr",
title = "Calculus with analytic geometry",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Fourth",
pages = "various",
year = "1992",
ISBN = "0-471-50901-9",
LCCN = "QA303 .A53 1992",
bibdate = "Sat Mar 9 08:21:34 MST 1996",
acknowledgement = ack-nhfb,
keywords = "calculus; geometry, analytic",
}
@Article{Avis:1992:PAC,
author = "David Avis and Komei Fukuda",
title = "A pivoting algorithm for convex hulls and vertex
enumeration of arrangements and polyhedra",
journal = j-DISCRETE-COMPUT-GEOM,
volume = "8",
number = "3",
pages = "295--313",
year = "1992",
CODEN = "DCGEER",
ISSN = "0179-5376",
MRclass = "68U05 (52B55 65Y25)",
MRnumber = "93h:68137",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "ACM Symposium on Computational Geometry (North Conway,
NH, 1991)",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Henk J. A. M. Heijmans",
}
@InBook{Baillon:1992:ORA,
author = "Jean-Bernard Baillon and Ronald E. Bruck",
booktitle = "Fixed point theory and applications (Halifax, NS,
1991)",
title = "Optimal rates of asymptotic regularity for averaged
nonexpansive mappings",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "27--66",
year = "1992",
MRclass = "47H09 (47H15 47H20)",
MRnumber = "93i:47082",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "A. G. Kartsatos",
}
@Article{Baran:1992:WYS,
author = "N. Baran",
title = "What you see is what you solve: {Mathematica} [2.0]
and {MathCAD} [3.0] for {Windows}. (includes related
article on {Maple V}) (Software Review)",
journal = j-BYTE,
volume = "17",
pages = "263--265",
month = may,
year = "1992",
CODEN = "BYTEDJ",
ISSN = "0360-5280",
bibdate = "Sat Apr 6 16:22:45 1996",
abstract = "Examines two math processing programs--Mathematica for
Windows and MathCAD for Windows. Recommends Mathematica
for solving hard-core math problems and MathCAD for
setting up computational worksheets or for simple
equation solving. A sidebar discusses Maple V from
Waterloo Maple Software. Provides a BYTE action
summary.",
acknowledgement = ack-ble,
keywords = "application software and utilities; Computing and
communications; mathematical programs; Surveys and
Comparisons",
}
@Article{Bergeron:1992:CGF,
author = "Fran{\c{c}}ois Bergeron and Simon Plouffe",
title = "Computing the generating function of a series given
its first few terms",
journal = j-EXP-MATH,
volume = "1",
number = "4",
pages = "307--312",
year = "1992",
ISSN = "1058-6458",
MRclass = "05A15 (11B65 11Y16 68Q40)",
MRnumber = "95b:05008",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Christian Krattenthaler",
}
@Article{Bergeron:1992:SMS,
author = "Fran{\c{c}}ois Bergeron and Nantel Bergeron",
title = "Symbolic Manipulation for the Study of the Descent
Algebra of Finite {Coxeter} Groups",
journal = j-J-SYMBOLIC-COMP,
volume = "14",
number = "2--3",
pages = "127--140 (or 127--139??)",
month = aug # "--" # sep,
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40 (20F55)",
MRnumber = "94d:68048",
MRreviewer = "Richard M. Thomas",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
affiliation = "LACIM, Quebec Univ., Montreal, Que., Canada",
classcodes = "C7310 (Mathematics); C6130 (Data handling techniques);
C4210 (Formal logic)",
classification = "C4210 (Formal logic); C6130 (Data handling
techniques); C7310 (Mathematics)",
corpsource = "LACIM, Quebec Univ., Montreal, Que., Canada",
keywords = "descent algebra; finite Coxeter; groups; Maple; proofs
of theorems; symbol manipulation; symbolic
manipulation; theorem proving",
thesaurus = "Symbol manipulation; Theorem proving",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Borwein:1992:SSH,
author = "J. M. Borwein and P. B. Borwein",
title = "Strange series and high precision fraud",
journal = j-AMER-MATH-MONTHLY,
volume = "99",
number = "7",
pages = "622--640",
year = "1992",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "40-01 (40A05 40A25)",
MRnumber = "93f:40001",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "John A. Fridy",
}
@Article{Carminati:1992:IDE,
author = "John Carminati and John S. Devitt and Greg J. Fee",
title = "Isogroups of differential equations using algebraic
computing",
journal = j-J-SYMBOLIC-COMP,
volume = "14",
number = "1",
pages = "103--120",
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "35-04 (35A30 35Q99)",
MRnumber = "93f:35004",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Char:1992:FLT,
author = "Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet
and Benton Leong and Michael B. Monagan and Stephen M.
Watt",
title = "First Leaves: {A} Tutorial Introduction to {Maple V}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvii + 253",
year = "1992",
ISBN = "0-387-97621-3, 3-540-97621-3",
LCCN = "QA155.7.E4 F56 1992",
bibdate = "Tue Nov 02 12:30:08 1993",
note = "Also available in Japanese, ISBN 4-431-70651-8",
acknowledgement = ack-nhfb,
}
@Article{Cohen:1992:STM,
author = "Jaques Cohen and Aline Weitzman",
title = "Software Tools for Micro-analysis of Programs",
journal = j-SPE,
volume = "22",
number = "9",
pages = "777--808",
month = sep,
year = "1992",
CODEN = "SPEXBL",
ISSN = "0038-0644",
bibdate = "Sat May 31 13:36:16 MDT 1997",
acknowledgement = ack-nhfb,
affiliation = "Michtom Sch. of Comput. Sci., Brandeis Univ., Waltham,
MA, USA",
classification = "C6110B (Software engineering techniques); C7310
(Mathematics); C1180 (Optimisation techniques); C6150G
(Diagnostic, testing, debugging and evaluating
systems); C6115 (Programming support)",
keywords = "Programs microanalysis; Software tools; Pascal; C-like
programs; Symbolic formulas; Compiler-machine
configurations; Linear programming; Benchmarking;
Prolog; Symbolic formula manipulation package; Maple",
thesaurus = "Linear programming; Performance evaluation; Program
testing; Program verification; Symbol manipulation",
}
@Article{Connell:1992:APK,
author = "Ian Connell",
title = "Addendum to a paper of {K. Harada} and {M.-L. Lang}:
{``Some elliptic curves arising from the Leech
lattice'' [J. Algebra {\bf 125}, 1989, 2, 298--310, MR
90g:11072]}",
journal = j-J-ALGEBRA,
volume = "145",
number = "2",
pages = "463--467",
year = "1992",
CODEN = "JALGA4",
ISSN = "0021-8693",
MRclass = "11G05 (11F22 11Y16 14H52)",
MRnumber = "93d:11057",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Joseph H. Silverman",
}
@Article{Corless:1992:NEA,
author = "R. M. Corless and D. J. Jeffrey and H. Rasmussen",
title = "Numerical evaluation of {Airy} functions with complex
arguments",
journal = j-J-COMP-PHYS,
volume = "99",
number = "1",
pages = "106--114",
year = "1992",
CODEN = "JCTPAH",
ISSN = "0021-9991",
MRclass = "65D20 (33E30)",
MRnumber = "92k:65028",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Cox:1992:IVA,
author = "David Cox and John Little and Donala O'Shea",
title = "Ideals, varieties, and algorithms: An introduction to
computational algebraic geometry and commutative
algebra",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 513",
year = "1992",
ISBN = "0-387-97847-X",
MRclass = "13P10 (13-01 14-01 14Qxx 68Q40)",
MRnumber = "93j:13031",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "Undergraduate Texts in Mathematics",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Timothy Stokes",
}
@Article{Czapor:1992:ACS,
author = "S. R. Czapor and R. G. McLenaghan and J. Carminati",
title = "The automatic conversion of spinor equations to dyad
form in {MAPLE}",
journal = j-GEN-RELATIVITY-GRAV,
volume = "24",
number = "9",
pages = "911--928",
year = "1992",
CODEN = "GRGVA8",
ISSN = "0001-7701",
MRclass = "83-04 (83C60)",
MRnumber = "93f:83001",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Garry Ludwig",
}
@Article{Devlin:1992:CM,
author = "Keith Devlin",
title = "Computers and Mathematics",
journal = j-NAMS,
volume = "39",
number = "8",
pages = "825--843",
month = oct,
year = "1992",
CODEN = "AMNOAN",
ISSN = "0002-9920",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Experimental Mathematics is the theme of this month's
feature article, written by Jonathan and Peter Borwein.
This is followed by a number of review articles and a
couple of announcements: Paul Abbott compares Maple and
Mathematica; J. S. Milne provides an update on some
reviews on scientific word processors; Louis Grey looks
at the program Numbers; and Tevian Dray reports on the
programs 4-dimensional Hypercube and f(z).",
acknowledgement = ack-nhfb,
}
@Article{Dietrich:1992:EAC,
author = "Volker Dietrich",
title = "{ELISE}, an algorithm to compute asymptotic
representations for solutions of linear differential
equations, realized with the computer algebra system
{MAPLE}",
journal = j-J-SYMBOLIC-COMP,
volume = "14",
number = "1",
pages = "85--92",
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "34-04 (34A20 34E05 65L99)",
MRnumber = "93f:34002",
bibdate = "Mon Feb 05 08:29:51 1996",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InCollection{Ellingsrud:1992:NTC,
author = "Geir Ellingsrud and Stein Arild Str{\o}mme",
title = "The number of twisted cubic curves on the general
quintic threefold (preliminary version)",
crossref = "Yau:1992:EMM",
pages = "181--222",
year = "1992",
MRclass = "14N10 (14C05 14J30)",
MRnumber = "94d:14050",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Bruce Hunt",
}
@Book{Ellis:1992:MVF,
author = "Wade {Ellis, Jr.} and others",
title = "{Maple V} Flight Manual: Tutorials for Calculus,
Linear Algebra, and Differential Equations",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xxi + 183",
year = "1992",
ISBN = "0-534-17338-1",
LCCN = "QA155.7.E4 M35 1992",
bibdate = "Wed Dec 27 16:39:56 1995",
acknowledgement = ack-nhfb,
}
@Article{Erdoes:1992:NPP,
author = "P. Erd{\"o}s and J.-L. Nicolas and A.
S{\'a}rk{\"o}zy",
title = "On the number of pairs of partitions of $n$ without
common subsums",
journal = j-COLLOQ-MATH,
volume = "63",
number = "1",
pages = "61--83",
year = "1992",
CODEN = "CQMAAQ",
ISSN = "0010-1354",
MRclass = "11P82",
MRnumber = "93c:11087",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "George E. Andrews",
}
@Book{Fattahi:1992:MVC,
author = "Abi Fattahi",
title = "{Maple V} Calculus Labs",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "92",
year = "1992",
ISBN = "0-534-19272-6",
LCCN = "QA155.7.E4 F37 1992",
bibdate = "Wed Dec 18 16:18:30 1996",
acknowledgement = ack-nhfb,
}
@Article{Garbey:1992:QPW,
author = "Marc Garbey and Hans G. Kaper and Gary K. Leaf and
Bernard J. Matkowsky",
title = "Quasi-periodic waves and the transfer of stability in
condensed-phase surface combustion",
journal = j-SIAM-J-APPL-MATH,
volume = "52",
number = "2",
pages = "384--395",
year = "1992",
CODEN = "SMJMAP",
ISSN = "0036-1399",
MRclass = "80A25 (35B32)",
MRnumber = "93f:80019",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "V. A. Sobolev",
}
@Article{Geck:1992:UCC,
author = "Meinolf Geck and G{\"o}tz Pfeiffer",
title = "Unipotent characters of the {Chevalley} groups
${D}_4(q)$, $q$ odd",
journal = j-MANUSCR-MATH,
volume = "76",
number = "3-4",
pages = "281--304",
year = "1992",
CODEN = "MSMHB2",
ISSN = "0025-2611",
MRclass = "20C33 (20C40)",
MRnumber = "93j:20035",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Gerhard Hiss",
}
@Book{Geddes:1992:ACA,
author = "Keith O. Geddes and S. R. Czapor and G. Labahn",
title = "Algorithms for Computer Algebra",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xviii + 585",
year = "1992",
ISBN = "0-7923-9259-0",
LCCN = "QA155.7.E4 G43 1992",
bibdate = "Wed Jun 15 11:42:54 1994",
acknowledgement = ack-nhfb,
keywords = "{Maple}",
}
@InProceedings{Geddes:1992:HSI,
author = "K. O. Geddes and G. J. Fee",
title = "Hybrid symbolic-numeric integration in {MAPLE}",
crossref = "Wang:1992:ISS",
pages = "36--41",
month = "",
year = "1992",
bibdate = "Mon Sep 30 05:24:55 MDT 1996",
abstract = "We give an overview of the hybrid symbolic-numeric
integrator in MAPLE. The approach used is to recognize
the presence of singularities and, when possible, to
transform the problem to avoid the singularity. At the
base of the hybrid method are numerical integration
techniques. We have found that for integrands which are
analytic in a 'sufficiently large' region of the
complex plane surrounding the interval of integration,
the method of choice is Clenshaw-Curtis quadrature. An
added advantage of this method is that it can be
programmed to detect cases where the Chebyshev series
coefficients converge slowly (or diverge), and to give
up quickly in such cases. The singularity handling
techniques can then be applied. There is a need for a
numerical method other than Clenshaw-Curtis quadrature,
a method which can deal with end-point singularities
and singularities lying 'nearby' in the complex plane.
We have found that the double-exponential method
performs very well in the presence of several types of
singularities, and its performance does not degrade
when arbitrarily high precision is demanded. The
combination of Clenshaw-Curtis quadrature and the
double exponential method support the numerical
computation phase which, along with the symbolic
analysis techniques for singularity handling, define an
automated approach to the symbolic-numeric computation
of definite integrals in MAPLE.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
classification = "C6130 (Data handling techniques); C7310
(Mathematics)",
keywords = "Chebyshev series coefficients; Clenshaw-Curtis
quadrature; Definite integrals; Double-exponential
method; End-point singularities; Hybrid
symbolic-numeric integration; MAPLE; Numerical
integration techniques; Numerical method; Singularity
handling; Singularity handling techniques; Symbolic
analysis techniques; Symbolic-numeric computation",
thesaurus = "Mathematics computing; Symbol manipulation",
}
@TechReport{Gerbracht:1992:AED,
author = "Eberhard H. A. Gerbracht",
title = "{Zur Algorithmischen und Exakten Diskussion
Elementarer Funktionen}",
institution = "Technischen Universit{\"{a}}t Carolo-Wilhelmina zu
Braunschweig",
address = "Braunschweig, Germany",
year = "1992",
bibdate = "Sat Dec 30 09:07:23 1995",
acknowledgement = ack-nhfb,
descriptor = "Analysis, Kurvendiskussion, Maple, Computeralgebra",
}
@Article{Guimaraes:1992:DRT,
author = "J. E. F. Guimaraes and G. R. Heppler and S. R.
Czapor",
title = "On the Derivation and Reduction of {$C^1$}
Trigonometric Basis Functions Using {Maple}",
journal = j-J-SYMBOLIC-COMP,
volume = "13",
number = "6",
pages = "643--676 (or 643--675??)",
month = jun,
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "65T10",
MRnumber = "MR1177713 (93d:65117)",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/maple-extract.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Syst. Design Eng., Waterloo Univ., Ont.,
Canada",
classcodes = "C7310 (Mathematics); C4185 (Finite element analysis);
C1230 (Artificial intelligence)",
classification = "C1230 (Artificial intelligence); C4185 (Finite
element analysis); C7310 (Mathematics)",
corpsource = "Dept. of Syst. Design Eng., Waterloo Univ., Ont.,
Canada",
fjournal = "Journal of Symbolic Computation",
keywords = "$C^1$ trigonometric basis functions; Canonical
simplification; Derivation; Finite element method;
Grobner bases; Heuristic methodology; Reduction; Trial
function; Waterloo Maple software; finite element
analysis; heuristic programming; mathematics;
computing; Waterloo Maple software; derivation;
reduction; $C^1$; trigonometric basis functions;
heuristic methodology; finite; element method; trial
function; canonical simplification; Gr{\"o}bner bases",
thesaurus = "Finite element analysis; Heuristic programming;
Mathematics computing",
treatment = "P Practical",
}
@InProceedings{Gutierrez:1992:PIT,
author = "Jaime Gutierrez and Tomas Recio",
title = "A practical implementation of two rational function
decomposition algorithms",
crossref = "Wang:1992:ISS",
pages = "152--157",
year = "1992",
bibdate = "Thu Mar 12 08:39:32 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/143242/p152-gutierrez/",
acknowledgement = ack-nhfb,
keywords = "algorithms; theory",
subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Languages and Systems, REDUCE.
{\bf I.1.3} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Languages and Systems, Maple.
{\bf G.1.0} Mathematics of Computing, NUMERICAL
ANALYSIS, General. {\bf F.2.1} Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Numerical Algorithms and Problems, Computations on
polynomials.",
}
@Book{Harris:1992:DCM,
author = "Kent Harris",
title = "Discovering Calculus with {Maple}",
publisher = pub-JW,
address = pub-JW:adr,
pages = "192",
year = "1992",
ISBN = "0-471-55156-2",
LCCN = "QA303.5.D37 H37 1992",
bibdate = "Tue Dec 14 22:55:05 1993",
acknowledgement = ack-nhfb,
}
@Article{Hedman:1992:TAA,
author = "Anders Hedman",
booktitle = "Advancing Power Transmission Into the 21st Century
(Sep 13--16 1992: Scottsdale, AZ, USA)",
title = "Transmission analysis: Automatic derivation of
relationships",
journal = "American Society of Mechanical Engineers, Design
Engineering Division (Publication) DE",
volume = "43 pt 1",
pages = "259--266",
year = "1992",
CODEN = "AMEDEH",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "A method for derivation of relationships for general
mechanical transmission systems is given. The method is
adapted for computer-aided analysis and synthesis of
the kinematics, loads and power flows. Losses are
included. All relationships are handled by a computer
program. No manual formulation and elimination of
equations are necessary. The user only needs to
describe the transmission system: 1. The transmission
units, e.g. gear transmissions, planetary gear trains,
clutches, input and output shafts. 2. How the shafts of
those units are connected. Then, the computer program
formulates and arranges the relationships. After that,
a commercial program, ``Maple'', performs the algebraic
eliminations. Relationships between the speeds
and\slash or torques of two arbitrary shafts can be
derived, e.g. an algebraic relationship for the overall
efficiency. Different power flows are possible in
split-power transmissions. Special algorithms handle
that. The method is a useful tool. It saves time and
eliminates the risk for human errors.",
acknowledgement = ack-nhfb,
affiliation = "Chalmers Univ of Technology",
affiliationaddress = "Goteborg, Swed",
classification = "601.2; 602.2; 723.1; 723.5; 921; 931.1",
conference = "Proceedings of the 1992 International Power
Transmission and Gearing Conference",
conferenceyear = "1992",
journalabr = "ASME Des Eng Div Publ DE",
keywords = "Computer aided analysis; Computer programming;
Kinematics; Machine components; Maple computer program;
Mathematical models; Mechanical transmission system;
Power transmission",
meetingabr = "Proc 92 Int Power Transm Gearing Conf",
meetingaddress = "Scottsdale, AZ, USA",
meetingdate = "Sep 13--16 1992",
meetingdate2 = "09/13--16/92",
sponsor = "ASME",
}
@Article{Hiss:1992:BMC,
author = "Gerhard Hiss and Josephine Shamash",
title = "$2$-blocks and $2$-modular characters of the
{Chevalley} groups ${G}_2(q)$",
journal = j-MATH-COMPUT,
volume = "59",
number = "200",
pages = "645--672",
year = "1992",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20C20 (20C33 20C40)",
MRnumber = "93a:20020",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Karin Erdmann",
}
@Article{Hoshi:1992:PUQ,
author = "Mamoru Hoshi and Philippe Flajolet",
title = "Page usage in a quadtree index",
journal = j-BIT,
volume = "32",
number = "3",
pages = "384--402",
year = "1992",
CODEN = "BITTEL",
ISSN = "0006-3835",
MRclass = "68P05 (05A16 68Q25)",
MRnumber = "94b:68040",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "E. Rodney Canfield",
}
@Article{Ioakimidis:1992:DTS,
author = "N. I. Ioakimidis and G. T. Anastasselos",
title = "Direct {Taylor-series} solution of singular integral
equations with {MAPLE}",
journal = j-COMP-STRUCTURES,
volume = "45",
number = "3",
pages = "613--617",
month = oct,
year = "1992",
CODEN = "CMSTCJ",
ISSN = "0045-7949",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "Cauchy-type singular integral equations (SIEs)
frequently appear in a variety of elasticity problems
and, most often, in crack problems. Here we extend the
classical direct numerical methods for the approximate
solution of these equations to the
semi-analytical\slash numerical (SAN) environment
offered by modern computer algebra systems (CAS). The
idea is simply to use Taylor-Maclaurin series in the
approximate SAN solution and to reduce the problem to a
purely numerical set of systems of linear equations.
The approach is illustrated in the classical
Lobatto-Chebyshev method with an application to the
problem of a periodic array of collinear cracks.
Extensive displayed SAN results for the stress
intensity factors show the convergence and efficiency
of the proposed SAN approach. The cases of other direct
methods for SIEs are also directly applicable.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classification = "723.1; 723.5; 921.1; 921.6; 931.1",
journalabr = "Comput Struct",
keywords = "Algebra; Approximation theory; Chebyshev
approximation; Collinear cracks; Computational methods;
Computer algebra systems (cas); Computer applications;
Computer software; Convergence of numerical methods;
Elasticity; Integral equations; Lobatto Chebyshev
method; Semianalytical/numerical (SAN) environment;
Singular integral equations (SIES); Stresses; Taylor
Maclaurin series",
}
@Book{Jenks:1992:ASC,
author = "Richard D. Jenks and Robert S. Sutor",
title = "{AXIOM}. The scientific computation system",
publisher = "Numerical Algorithms Group, Ltd. and Springer-Verlag",
address = "Oxford and New York",
pages = "xxiv + 742",
year = "1992",
ISBN = "0-387-97855-0 (New York), 3-540-97855-0 (Berlin)",
LCCN = "QA76.95.J46 1992",
MRclass = "68Q40 (68-04 68N15)",
MRnumber = "95k:68089",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "With a foreword by David V. Chudnovsky and Gregory V.
Chudnovsky",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "P. D. F, Ion",
}
@InProceedings{Koepf:1992:ADP,
author = "Wolfram Koepf",
title = "Algorithmic development of power series",
crossref = "Calmet:1992:AIS",
pages = "195--213",
year = "1992",
MRclass = "68Q40",
MRnumber = "95f:68115",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Koepf:1992:PSC,
author = "Wolfram Koepf",
title = "Power series in computer algebra",
journal = j-J-SYMBOLIC-COMP,
volume = "13",
number = "6",
pages = "581--603",
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40",
MRnumber = "93j:68087",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Lahtonen:1992:LBM,
author = "Jyrki Lahtonen",
title = "Lower bounds for the multiplicities of simple
composition factors of the induced modules",
journal = j-COMMUN-ALGEBRA,
volume = "20",
number = "7",
pages = "1873--1895",
year = "1992",
CODEN = "COALDM",
ISSN = "0092-7872",
MRclass = "20G05 (20G10)",
MRnumber = "93h:20050",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Jia-Chen Ye",
}
@InProceedings{Lamagna:1992:DUI,
author = "Edmund A. Lamagna and Michael B. Hayden and Catherine
W. Johnson",
title = "The design of a user interface to a computer algebra
system for introductory calculus",
crossref = "Wang:1992:ISS",
pages = "358--368",
year = "1992",
bibdate = "Thu Mar 12 08:39:32 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/143242/p358-lamagna/",
acknowledgement = ack-nhfb,
keywords = "algorithms; human factors",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf I.1.3} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Languages and Systems, Maple. {\bf H.5.2} Information
Systems, INFORMATION INTERFACES AND PRESENTATION, User
Interfaces, Interaction styles. {\bf H.5.2} Information
Systems, INFORMATION INTERFACES AND PRESENTATION, User
Interfaces, Input devices and strategies.",
}
@InProceedings{Levelt:1992:VWK,
author = "A. H. M. Levelt",
title = "{Van der Waals}, {Korteweg}, {van Laar}: {A} {MAPLE}
excursion into the thermodynamics of binary mixtures.",
crossref = "Cohen:1992:CAI",
pages = "227--238",
year = "1992",
bibdate = "Sat May 10 09:36:47 1997",
acknowledgement = ack-nhfb,
}
@Article{Madore:1992:RAM,
author = "Blair F. Madore",
title = "Report on the 10th {Annual Maple Retreat}",
journal = j-SIGSAM,
volume = "26",
number = "3",
pages = "7--8",
month = sep,
year = "1992",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Mon Feb 05 08:30:08 1996",
acknowledgement = ack-nhfb,
}
@Article{Monagan:1992:HIT,
author = "Michael B. Monagan",
title = "A Heuristic Irreducibility Test for Univariate
Polynomials",
journal = j-J-SYMBOLIC-COMP,
volume = "13",
number = "1",
pages = "47--58 (or 47--57??)",
month = jan,
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40",
MRnumber = "1 153 634",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
classcodes = "C7310 (Mathematics); C4130 (Interpolation and function
approximation); C4140 (Linear algebra)",
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra); C7310 (Mathematics)",
corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
keywords = "algorithm; Berlekamp-Hensel; Berlekamp-Hensel
algorithm; evaluation; Factoring polynomials; factoring
polynomials; Factorization package; factorization
package; Heuristic irreducibility test; heuristic
irreducibility test; linear algebra; MACSYMA;
manipulation; MAPLE; Maple symbolic algebra; Maple
symbolic algebra system; mathematics computing;
polynomial factorization, MAPLE; polynomials; prime;
Prime evaluation; Probabilistic primality test;
probabilistic primality test; REDUCE; symbol; system;
Univariate polynomials; univariate polynomials",
thesaurus = "Linear algebra; Mathematics computing; Polynomials;
Symbol manipulation",
treatment = "P Practical",
}
@InProceedings{Mutrie:1992:AFE,
author = "Mark P. W. Mutrie and Richard H. Bartels and Bruce W.
Char",
title = "An approach for floating-point error analysis using
computer algebra",
crossref = "Wang:1992:ISS",
pages = "284--293",
year = "1992",
bibdate = "Thu Mar 12 08:39:32 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/143242/p284-mutrie/",
acknowledgement = ack-nhfb,
keywords = "algorithms",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf I.1.2} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Algorithms, Algebraic algorithms. {\bf G.1.0}
Mathematics of Computing, NUMERICAL ANALYSIS, General,
Computer arithmetic. {\bf I.1.3} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Languages and Systems, Maple. {\bf G.2.2} Mathematics
of Computing, DISCRETE MATHEMATICS, Graph Theory, Graph
algorithms.",
}
@Article{Okano:1992:NRA,
author = "Takeshi Okano",
title = "A note on the rational approximations to $e$",
journal = j-TOKYO-J-MATH,
volume = "15",
number = "1",
pages = "129--133",
year = "1992",
ISSN = "0387-3870",
MRclass = "11J82 (11Y99)",
MRnumber = "93f:11054",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Richard T. Bumby",
}
@Article{Peterson:1992:MV,
author = "N. C. Peterson",
title = "{Maple V}",
journal = j-LAB-MICROCOMP,
volume = "11",
number = "1",
pages = "37--38",
month = "",
year = "1992",
CODEN = "LMICDI",
ISSN = "0262-2955",
bibdate = "Mon Sep 30 05:36:13 MDT 1996",
abstract = "Maple V is the most recent version of a computer math
system that has been under continuing development at
the University of Waterloo (Ontario), occasionally with
the collaboration of others, for more than ten years.
Maple V has four main areas of capability: symbolic
math, numerical computation, graphics, and
programming.",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics)",
keywords = "Computer math system; Graphics; Maple V; Numerical
computation; Programming; Symbolic math",
pubcountry = "UK",
thesaurus = "Mathematics computing; Software packages",
}
@Article{Ray:1992:UIA,
author = "Nigel Ray and Colin Wright",
title = "Umbral interpolation and the addition/contraction tree
for graphs",
journal = j-DISCRETE-MATH,
volume = "103",
number = "1",
pages = "67--74",
year = "1992",
CODEN = "DSMHA4",
ISSN = "0012-365X",
MRclass = "05C15 (05A40)",
MRnumber = "93g:05054",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Alessandro Di Bucchianico",
}
@Book{Resnick:1992:ASP,
author = "Sidney I. Resnick",
title = "Adventures in Stochastic Processes",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xii + 626",
year = "1992",
ISBN = "0-8176-3591-2",
LCCN = "QA274.R46 1992",
bibdate = "Thu Dec 28 12:17:42 1995",
price = "US\$64.50",
URL = "http://www.birkhauser.com/Books/resnick/summary.htm",
acknowledgement = ack-nhfb,
}
@Article{RodriguezAzara:1992:MPG,
author = "Jose Luis {Rodriguez Azara}",
title = "{MAPLE} program for the generation of the {Lie-series}
solution of systems of non-linear ordinary differential
equations",
journal = j-COMP-PHYS-COMM,
volume = "67",
number = "3",
pages = "537--542",
month = jan,
year = "1992",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The Lie series is a power series in which the initial
conditions are part of the constant coefficients of the
series. This property makes the Lie series appropriate
for the study of systems of differential equations that
exhibit chaotic behavior and, therefore, are sensitive
to initial conditions. We present the theory behind the
Lie series, a MAPLE program capable of handling single
as well as systems of ODE's, several examples of the
application of the program to linear and non-linear
problems, and a discussion of the application to
chaotic systems.",
acknowledgement = ack-nhfb,
affiliation = "Embry Riddle Aeronautical Univ",
affiliationaddress = "Daytona Beach, FL, USA",
classification = "723; 921; 931",
journalabr = "Comput Phys Commun",
keywords = "Chaos Theory; Chaotic Systems; Computer Programs ---
Applications; Differential Equations; Lie Series; Maple
Programming Language; Mathematical Techniques; Ordinary
Differential Equations (ode)",
}
@Article{Rodriquez-Azara:1992:MPG,
author = "J. L. Rodriquez Azara",
title = "A {MAPLE} program for the generation of the
{Lie-series} solution of systems of non-linear ordinary
differential equations",
journal = j-COMP-PHYS-COMM,
volume = "63",
number = "3",
pages = "537--??",
month = jan,
year = "1992",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
bibdate = "Fri Apr 12 10:11:46 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Scott:1992:SAM,
author = "T. C. Scott and M. B. Monagan and G. J. Fee and R. M.
Corless",
title = "Some applications of {Maple} to mathematical,
scientific and engineering problems",
crossref = "Houstis:1992:AIE",
pages = "165--176",
month = "",
year = "1992",
bibdate = "Mon Sep 30 05:31:18 MDT 1996",
abstract = "The authors survey some applications of Maple where it
has proved useful as a problem-solving tool. The
application areas include relativity, quantum theory,
audio engineering, number theory and asbestos fiber
analysis. They should give the reader some idea of the
potential capabilities and versatility of the Maple
system. Most of the applications presented here include
new approaches at the forefront of research. For the
reader new to the field of symbolic computation, the
authors show how the symbolic computation tools
available in Maple have provided new possibilities in
various fields of research.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Theor. Atomic and Molecular Phys.,
Harvard-Smithsonian Center for Astrophys., Cambridge,
MA, USA",
classification = "C1230 (Artificial intelligence); C7310
(Mathematics); C7320 (Physics and Chemistry); C7400
(Engineering)",
keywords = "Asbestos fiber analysis; Audio engineering;
Engineering problems; Mathematical problems; Number
theory; Problem-solving tool; Quantum theory;
Relativity; Scientific problems; Symbolic computation",
thesaurus = "Engineering computing; Mathematics computing; Physics
computing; Problem solving; Symbol manipulation",
}
@Article{Seidel:1992:NAT,
author = "H.-P. Seidel",
title = "New algorithms and techniques for computing with
geometrically continuous spline curves of arbitrary
degree",
journal = j-MATH-MODEL-NUM-ANA,
volume = "26",
number = "1",
pages = "149--176",
year = "1992",
CODEN = "RMMAEV",
ISSN = "0764-583X",
MRclass = "65D07 (65D17)",
MRnumber = "92m:65022",
bibdate = "Mon May 11 12:18:10 1998",
note = "Topics in computer aided geometric design (Erice,
1990). RAIRO Mod{\'e}l.",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Simon:1992:SMS,
author = "Barry Simon",
title = "Symbolic Math Software: It's Not Just for Mainframes
Anymore",
journal = j-PC-MAGAZINE,
volume = "11",
number = "14",
pages = "405--??",
month = aug,
year = "1992",
ISSN = "0888-8507",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "A comparative look at today's leading mathematical
software reveals that now, more than ever before,
PC-based mathematical problem solving stands poised to
strike that delicate balance between raw computational
power and carefully crafted interface. Derive: A
Mathematical Assistant, Version 2.1, Maple V, Version
1.1, Mathematica for DOS, Version 2.0, Mathematica for
Windows, Version 2.0, Reduce, Version 3.4.",
acknowledgement = ack-nhfb,
}
@Article{Tari:1992:RSF,
author = "Farid Tari",
title = "Recognition of ${\cal K}$-singularities of functions",
journal = j-EXP-MATH,
volume = "1",
number = "3",
pages = "225--229",
year = "1992",
ISSN = "1058-6458",
MRclass = "32S05 (32-04 58C27)",
MRnumber = "94a:32053",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Piotr Jaworski",
}
@Article{Vinette:1992:QSD,
author = "F. Vinette",
title = "Quasispin symmetry for the derivation of coupled
cluster equations for the {Hubbard} model of benzene",
journal = j-IJQC,
volume = "42",
number = "6",
pages = "1737--1746",
month = jun,
year = "1992",
CODEN = "IJQCB2",
ISSN = "0020-7608",
bibdate = "Mon Sep 30 05:36:13 MDT 1996",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Stat., York Univ., North York,
Ont., Canada",
classification = "A3120P (Other semi-empirical calculations (Huckel,
generalized Huckel, PPP methods, etc.))",
keywords = "Benzene; CI matrix; Coupled cluster equations;
Explicit algebraic form; Hubbard model; MAPLE;
Molecule; Pariser-Parr-Pople model; Quasispin symmetry;
Symbolic computation language; Triexcited clusters",
thesaurus = "Hubbard model; Organic compounds; PPP calculations",
}
@Article{Wang:1992:MAN,
author = "S. Wang and K. Huseyin",
title = "``{Maple}'' analysis of nonlinear oscillations",
journal = j-MATH-COMP-MODELLING,
volume = "16",
number = "11",
pages = "49--57",
month = nov,
year = "1992",
CODEN = "MCMOEG",
ISSN = "0895-7177",
MRclass = "65-04 (65L99)",
MRnumber = "MR1189284 (93g:65007)",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "This paper describes the application of a symbolic
manipulation computer language, namely MAPLE, to the
analysis of the oscillatory behavior of nonlinear
dynamical system. The method combines a perturbation
scheme with MAPLE to obtain an ordered sequence of
consistent approximations. Two separate programs, for
autonomous and nonautonomous systems have been
developed. Three illustrative examples are presented.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Syst. Design Eng., Waterloo Univ., Ont.,
Canada",
classification = "C4150 (Nonlinear and functional equations); C7310
(Mathematics)",
fjournal = "Mathematical and Computer Modelling",
keywords = "Autonomous systems; Consistent approximations; MAPLE;
Nonautonomous systems; Nonlinear dynamical system;
Nonlinear oscillations; Ordered sequence; Perturbation
scheme; Symbolic manipulation computer language",
pubcountry = "UK",
thesaurus = "Complete computer programs; Nonlinear systems;
Oscillations; Symbol manipulation",
}
@Article{Wang:1992:UMS,
author = "R. Wang and P. Woo and M. K. Kwong",
title = "Using {Maple} for Symbolic Computations in Robotics",
journal = j-INT-J-ROBOTICS-AUTOMATION,
volume = "7",
number = "2",
pages = "41--49",
year = "1992",
CODEN = "IJAUED",
ISSN = "0826-8185",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Programs are presented for generating forward
kinematics, Jacobians, and dynamic equations of robotic
manipulators in symbolic closed forms by using the
algebraic manipulation software MAPLE. Examples are
given, and the efficiency of these computations is
discussed.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Electr. Eng., Northern Illinois Univ.,
Dekalb, IL, USA",
classification = "C1310 (Analysis and synthesis methods); C3390
(Robotics); C7420D (Control system design and
analysis)",
keywords = "Algebraic manipulation software; Control system
analysis computing; Dynamic equations; Forward
kinematics; Jacobians; Manipulators; MAPLE 1.4;
Robotics; Symbolic closed forms; Symbolic
computations",
thesaurus = "Control system analysis computing; Dynamics;
Kinematics; Robots; Symbol manipulation",
}
@Article{Wu:1992:CDH,
author = "Xian Wu",
title = "{Chern} classes and degenerations of hypersurfaces and
their lines",
journal = j-DUKE-MATH,
volume = "67",
number = "3",
pages = "633--652",
year = "1992",
CODEN = "DUMJAO",
ISSN = "0012-7094",
MRclass = "14C15 (14C21 14M15)",
MRnumber = "93m:14004",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Mircea Becheanu",
}
@InProceedings{Ye:1992:SLI,
author = "Honglin Ye and R. M. Corless",
title = "Solving linear integral equations in {Maple}",
crossref = "Wang:1992:ISS",
pages = "95--102",
month = "",
year = "1992",
bibdate = "Mon Sep 30 05:24:55 MDT 1996",
abstract = "This article describes a Maple procedure for solving
linear integral equations, implementing the Neumann
series method, the Laplace transform method, the
differentiation method, and the separating kernel
method for Fredholm and Volterra equations of the
first, second, and third kinds. Strategies for
classification of the equations and the choice of the
solution method are built-in. The procedure is designed
to be automatic and general-purpose. The procedure is
efficient and reliable.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Univ. of Western Ontario,
London, Ont., Canada",
classification = "C4160 (Numerical integration and differentiation);
C4180 (Integral equations); C7310 (Mathematics)",
keywords = "Classification; Differentiation method; Fredholm
equations; Laplace transform; Linear integral
equations; Maple; Neumann series method; Separating
kernel method; Volterra equations",
thesaurus = "Differentiation; Integral equations; Laplace
transforms; Series [mathematics]; Symbol manipulation",
}
@Article{Zeilberger:1992:PJW,
author = "Doron Zeilberger",
title = "A proof of {Julian West}'s conjecture that the number
of two-stack-sortable permutations of length $n$ is
$2(3n)!/((n+1)!(2n+1)!)$",
journal = j-DISCRETE-MATH,
volume = "102",
number = "1",
pages = "85--93",
year = "1992",
CODEN = "DSMHA4",
ISSN = "0012-365X",
MRclass = "05A15 (05A05)",
MRnumber = "93c:05011",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Abe:1993:IQM,
author = "Y. Abe",
title = "Introductory Quantum Mechanics Using {Maple V}",
crossref = "Lee:1993:MCM",
pages = "3--19",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Barkatou:1993:ACC,
author = "M. A. Barkatou",
title = "An algorithm for computing a companion block diagonal
form for a system of linear differential equations",
journal = j-APPL-ALGEBRA-ENG-COMMUN-COMPUT,
volume = "4",
number = "3",
pages = "185--195",
year = "1993",
CODEN = "AAECEW",
ISSN = "0938-1279",
MRclass = "34A46 (34-04 34A30 68Q40)",
MRnumber = "94g:34016",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Ian Gladwell",
}
@InProceedings{Bauldry:1993:TVS,
author = "W. C. Bauldry and J. L. Hebert",
title = "Truncation and Variance in Scale Mixtures",
crossref = "Lee:1993:MCM",
pages = "67--76",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Beneke:1993:CSP,
author = "T. W. Beneke and S. Fingerling and W. W. Schwippert",
title = "Computer software packages `{Maple}', `{Mathcad}' and
`{Mathematica}' compared",
journal = j-ELECTRONIK,
volume = "42",
number = "13",
pages = "50, 63--68",
month = jun,
year = "1993",
CODEN = "EKRKAR",
ISSN = "0013-5658",
bibdate = "Mon Sep 30 05:31:18 MDT 1996",
abstract = "Conducts applications tests on three types of maths
packages for personal computers. Their use in the
'Windows' environment is noted and 'Windows' screens
showing problem setup and graphical outputs are
included. The use of 'Postscript' aids to visualisation
is explained. Information is given on the 'Maple V'
Release 2 Windows-based mathematics program.",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics)",
keywords = "Graphical outputs; Maple; Mathcad; Maths packages;
Postscript; Problem setup; Software packages;
Visualisation; Windows environment",
language = "German",
pubcountry = "Germany",
thesaurus = "Graphical user interfaces; Mathematics computing;
Software packages",
}
@Article{Bentley:1993:TIN,
author = "Jon L. Bentley and Mary F. Fernandez and Brian W.
Kernighan and Norman L. Schryer",
title = "Template-driven interfaces for numerical subroutines",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "265--287",
month = sep,
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "This paper describes a set of interfaces for numerical
subroutines. Typing a short (often one-line)
description allows one to solve problems in application
domains including least-squares data fitting,
differential equations, minimization, root finding, and
integration. Our approach of `template-driven
programming' makes it easy to build such an interface:
a simple one takes a few hours to construct, while a
few days suffice to build the most complex program we
describe.",
acknowledgement = ack-nhfb,
affiliation = "AT\&T Bell Lab",
affiliationaddress = "Murray Hill, NJ, USA",
classification = "723.1; 723.1.1; 921.2; 921.6",
journalabr = "ACM Trans Math Software",
keywords = "Awk; awk; Computational methods; Computer programming;
Computer software; Data structures; design;
Differential equations; experimentation; Fortran;
fortran (programming language); Interfaces (computer);
languages; Least squares approximations; Maple;
Numerical subroutines; Software engineering; Software
reuse; Subroutines; Template driven programming; UNIX;
UNIX shell",
subject = "D.2.2 [Software Engineering]: Tools and Techniques --
software libraries; user interfaces; D.3.4 [Programming
Languages]: Processors -- preprocessors; G.1.0
[Numerical Analysis]: General -- numerical algorithms",
}
@Article{Bergeron:1993:SMU,
author = "Fran{\c{c}}ois Bergeron",
title = "Surprising mathematics using a computer algebra
system",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "3",
pages = "365--370",
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "20C40 (68Q40)",
MRnumber = "94j:20010",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Gerhard Hiss",
}
@Article{Boyd:1993:CLS,
author = "John P. Boyd",
title = "{Chebyshev} and {Legendre} Spectral Methods in
Algebraic Manipulation Languages",
journal = j-J-SYMBOLIC-COMP,
volume = "16",
number = "4",
pages = "377--399",
month = oct,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40 (65M60)",
MRnumber = "94k:68094",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C7310 (Mathematics); C4130 (Interpolation and function
approximation); C6130 (Data handling techniques)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C6130
(Data handling techniques); C7310 (Mathematics)",
keywords = "algebraic manipulation languages; Algebraic
manipulation languages; bifurcations; Bifurcations;
Chebyshev; Chebyshev approximation; Chebyshev
polynomials; collocation methods; Collocation methods;
eigenproblem; Eigenproblem; eigenvalues and
eigenfunctions; Fourier series; Galerkin methods;
Legendre spectral methods; Maple; mathematics
computing; nonlinear diffusion; Nonlinear diffusion;
polynomial; Polynomial; polynomials; REDUCE; series
(mathematics); symbol manipulation; trigonometric
manipulations; Trigonometric manipulations",
thesaurus = "Chebyshev approximation; Eigenvalues and
eigenfunctions; Mathematics computing; Polynomials;
Series [mathematics]; Symbol manipulation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Brackx:1993:CPK,
author = "F. Brackx and N. Van Acker",
title = "A conjugate {Poisson} kernel in {Euclidean} space",
journal = j-SIMON-STEVIN,
volume = "67",
number = "1-2",
pages = "3--14",
year = "1993",
CODEN = "SSWNAX",
ISSN = "0037-5454",
MRclass = "30G35 (31B05)",
MRnumber = "95a:30038",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Wolfgang Spr{\"o}ssig",
}
@MastersThesis{Brandt:1993:DAP,
author = "Jeffrey Martin Brandt",
title = "The design and analysis of power electronics circuits
using the {MAPLE} programming language",
type = "Thesis (M.S.E.E.)",
school = "University of Kentucky",
address = "Lexington, KY, USA",
pages = "ix + 119",
year = "1993",
bibdate = "Thu Dec 28 11:41:08 1995",
acknowledgement = ack-nhfb,
}
@InProceedings{Bronstein:1993:FPF,
author = "Manuel Bronstein and Bruno Salvy",
title = "Full Partial Fraction Decomposition of Rational
Functions",
crossref = "Bronstein:1993:IPI",
pages = "157--160",
year = "1993",
bibdate = "Thu Mar 12 08:40:26 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p157-bronstein/",
abstract = "We describe a rational algorithm that computes the
full partial fraction expansion of a rational function
over the algebraic closure of its field of definition.
The algorithm uses only gcd operations over the initial
field but the resulting decomposition is expressed with
linear denominators. We give examples from its Axiom
and Maple implementations.",
acknowledgement = ack-nhfb,
affiliation = "Wissenschaftliches Rechnen, Eidgenossische Tech.
Hochschule, Zurich, Switzerland",
classification = "B0290D (Functional analysis); B0290H (Linear
algebra); B0290M (Numerical integration and
differentiation); C4120 (Functional analysis); C4140
(Linear algebra); C4160 (Numerical integration and
differentiation); C7310 (Mathematics computing)",
keywords = "ACM; Algebraic closure; algebraic computation; Axiom;
Decomposition; Full partial fraction decomposition; Gcd
operations; Maple; Polynomial; Rational functions;
SIGSAM; symbolic computation; Symbolic integration,
ISSAC; theory; verification",
subject = "{\bf I.1.0} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, General. {\bf G.1.0}
Mathematics of Computing, NUMERICAL ANALYSIS, General.
{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms.",
thesaurus = "Function evaluation; Integration; Matrix
decomposition; Polynomial matrices; Symbol
manipulation",
}
@Book{Burbulla:1993:STC,
author = "Dietrich C. M. Burbulla and C. T. J. Dodson",
title = "Self-tutor for Computer Calculus using {Maple}",
publisher = pub-PHC,
address = pub-PHC:adr,
pages = "xiv + 292",
year = "1993",
ISBN = "0-13-063926-5",
LCCN = "????",
bibdate = "Thu Jul 07 18:12:51 1994",
acknowledgement = ack-nhfb,
}
@InProceedings{Capolsini:1993:UMM,
author = "P. Capolsini",
title = "The Use of {Maple} for Multibody Systems Modeling and
Simulation",
crossref = "Lee:1993:MCM",
pages = "109--117",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@InProceedings{Carr:1993:SAN,
author = "S. Carr and G. J. Savage",
title = "Sensitivity Analysis of Nonlinear Physical Systems
Using {Maple}",
crossref = "Lee:1993:MCM",
pages = "118--127",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Chiricota:1993:CEM,
author = "Yves Chiricota",
title = "Classification des esp{\`e}ces mol{\'e}culaires de
degr{\'e} $6$ et $7$ ({French}) [{Classification} of
molecular species of degrees $6$ and $7$]",
journal = j-ANN-SCI-MATH-QUEBEC,
volume = "17",
number = "1",
pages = "11--37",
year = "1993",
ISSN = "0707-9109",
MRclass = "05E20",
MRnumber = "94i:05110",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Jian Yi Shi",
}
@Article{Chiricota:1993:RSE,
author = "Yves Chiricota",
title = "Repr{\'e}sentation symbolique d'esp{\`e}ces
mol{\'e}culaires. ({French}) [{Symbolic} representation
of molecular species]",
journal = j-THEOR-COMP-SCI,
volume = "117",
number = "1--2",
pages = "131--136",
day = "30",
month = aug,
year = "1993",
CODEN = "TCSCDI",
ISSN = "0304-3975",
MRclass = "68Q40",
MRnumber = "94e:68086",
bibdate = "Mon Jul 19 22:17:30 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=117&issue=1-2",
note = "Conference on Formal Power Series and Algebraic
Combinatorics (Bordeaux, 1991)",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=117&issue=1-2&aid=1416",
acknowledgement = ack-nhfb,
classification = "C6115 (Programming support); C6120 (File
organisation); C7310 (Mathematics)",
conflocation = "Bordeaux, France; 2-5 May 1991",
conftitle = "Conference on Formal Power Series and Algebraic
Combinatorics",
corpsource = "Dept. de Math. et D'Inf., Quebec Univ., Montreal,
Que., Canada",
keywords = "combinatorial structures; data structures; lateral
classes; Maple; molecular types; programming
environments; symbol manipulation; symbolic programming
environment; symbolic representation",
language = "French",
pubcountry = "Netherlands",
treatment = "P Practical",
}
@InProceedings{Cizek:1993:USL,
author = "J. Cizek and F. Vinette and E. J. Weniger",
title = "On the Use of the Symbolic Language {Maple} in Physics
and Chemistry: Several Examples",
crossref = "deGroot:1993:PCP",
pages = "31--44",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Connolly:1993:FTC,
author = "T. H. Connolly and F. Pfeiffer",
title = "Feedforward Torque Computations with the Aid of {Maple
V}",
crossref = "Angeles:1993:CKP",
pages = "109--118",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{Davenport:1993:CAS,
author = "J. H. Davenport and Y. Siret and E. Tournier",
title = "Computer algebra: Systems and algorithms for algebraic
computation",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
edition = "Second",
pages = "xx + 298",
year = "1993",
ISBN = "0-12-204232-8",
LCCN = "QA155.7.E4 D38 1993",
MRclass = "68Q40 (12Y05 13P10 68-02)",
MRnumber = "95e:68097",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "With a preface by Daniel Lazard. Translated from the
French by A. Davenport and J. H. Davenport. With a
foreword by Anthony C. Hearn",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Nigel B. Backhouse",
}
@Article{Decoste:1993:SIS,
author = "H{\'e}l{\`e}ne D{\'e}coste",
title = "{S}{\'e}ries indicatrices et $q$-s{\'e}ries.
({French}) [{Indicator} series and $q$-series]",
journal = j-THEOR-COMP-SCI,
volume = "117",
number = "1--2",
pages = "169--186",
day = "30",
month = aug,
year = "1993",
CODEN = "TCSCDI",
ISSN = "0304-3975",
MRclass = "33D15 (05A30 68Q40)",
MRnumber = "95b:33046",
bibdate = "Mon Jul 19 22:17:30 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=117&issue=1-2",
note = "Conference on Formal Power Series and Algebraic
Combinatorics (Bordeaux, 1991)",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=117&issue=1-2&aid=1419",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
conflocation = "Bordeaux, France; 2-5 May 1991",
conftitle = "Conference on Formal Power Series and Algebraic
Combinatorics",
corpsource = "Dept. de Math. et Inf., Quebec Univ., Montreal, Que.,
Canada",
keywords = "combinatorial structures; exponential function;
indicatrix series; Maple; q-analogues; q-series; series
(mathematics)",
language = "French",
pubcountry = "Netherlands",
reviewer = "Jiang Zeng",
treatment = "T Theoretical or Mathematical",
}
@Article{deJager:1993:USC,
author = "Bram {de Jager}",
title = "Use of symbolic computation in nonlinear control: Is
it viable?",
journal = j-PROC-IEEE-CONF-DECISION-CONTROL,
volume = "1",
pages = "276--281",
year = "1993",
CODEN = "PCDCDZ",
ISSN = "0191-2216",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "To aid in the analysis and design of nonlinear control
systems the NONqqCON package, an acronym for Nonlinear
Control, has been developed. This paper addresses the
usefulness of the NONqqCON package as a self contained
tool in the symbolic analysis and design of nonlinear
control systems, as a replacement and\slash or
complement for numerical tools, and as a substitute for
analytical (paper and pencil) work. The symbolic
computation program MAPLE is used as a computing
substrate for NONqqCON. To assess the viability of this
tool, several algorithms available for analysis and
design are implemented in NONqqCON, and applied to
examples of textbook problems with published solutions
and also to a larger scale problem. The examples in the
paper address the following symbolic computational
areas for nonlinear dynamic systems: (1) the normal
form, (2) the zero dynamics, (3) the input-output exact
linearizing state-feedback, (4) the state space exact
linearizing state-feedback, including the search for
output functions that give the system a full or maximal
order relative degree. The systems are not required to
have a well defined relative degree. The textbook
problems show that the NONqqCON package can be
successfully used. The larger scale problem is,
however, too complex to be solved with the current
versions of NONqqCON and MAPLE. Some recommendations to
improve the implementation and to make MAPLE more
suitable for use with NONqqCON are given. The
conclusion is that symbolic computation is a viable
approach for straightforward textbook problems, but not
grown up enough to tackle larger problems. However, we
envision substantial future progress.",
acknowledgement = ack-nhfb,
affiliation = "Eindhoven Univ of Technology",
affiliationaddress = "Eindhoven, Neth",
classification = "723.1; 731.1; 921.6",
conference = "Proceedings of the 32nd Conference on Decision and
Control",
journalabr = "Proc IEEE Conf Decis Control",
keywords = "Algorithms; Codes (symbols); Computational methods;
Computer software; Control system analysis; Control
system synthesis; Input output exact linearization;
Linearization; Mathematical models; Nonlinear control
systems; Software package Maple; Software package non
con; State space exact linearization; State space
methods; Zero dynamics",
meetingaddress = "San Antonio, TX, USA",
meetingdate = "Dec 15 1993",
meetingdate2 = "12/15/93",
}
@Book{Devitt:1993:CMV,
author = "John S. Devitt",
title = "Calculus with {Maple V}",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xxii + 502",
year = "1993",
ISBN = "0-534-16362-9",
LCCN = "QA303.5.D37 D48 1993",
bibdate = "Mon Aug 22 14:13:30 1994",
acknowledgement = ack-nhfb,
}
@InProceedings{Devitt:1993:COT,
author = "J. S. Devitt",
title = "Combinatorial Objects and their Generating Functions:
{A} {Maple} Class Room Environment",
crossref = "Lee:1993:MCM",
pages = "20--26",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Article{Devlin:1993:CM,
author = "Keith Devlin",
title = "Computers and Mathematics",
journal = j-NAMS,
volume = "40",
number = "3",
pages = "236--241",
month = mar,
year = "1993",
CODEN = "AMNOAN",
ISSN = "0002-9920",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Two reviews make up this month's column. Ira Gessel
looks at the Macintosh version of Maple V, and Marvin
Margolis reports on the Student Edition of Minitab.",
acknowledgement = ack-nhfb,
}
@InProceedings{Douglas:1993:EEA,
author = "S. C. Douglas",
title = "Exact expectation analysis of the {LMS} adaptive
filter for correlated {Gaussian} input data",
crossref = "IEEE:1993:III",
volume = "3",
pages = "519--522",
year = "1993",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "In this paper, we present a method for deriving a set
of linear update equations that can be used to predict
the exact statistical behavior of a
finite-impulse-response (FIR) LMS adaptive filter
operating upon finite-time-correlated input data. Using
our method, we can derive exact bounds upon the LMS
step size to guarantee mean and mean-square
convergence. Our equation-deriving procedure is
recursive and algorithmic, and we describe a program
written in the MAPLE symbolic-manipulation software
package that automates the derivation for
arbitrarily-long adaptive filters operating on
correlated data. Extensive computer simulations
indicate that the exact analysis is much more accurate
than previous analyses in predicting adaptation
behavior under correlated data conditions. Our results
also indicate that analyses based upon the
commonly-used independence assumption can be inaccurate
in predicting the transient behavior of adaptive
filters, even in slow adaptation situations.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Utah",
affiliationaddress = "Salt Lake City, UT, USA",
classification = "716.1; 721.1; 723.2; 723.5; 731.1; 921.6",
conference = "1993 IEEE International Conference on Acoustics,
Speech and Signal Processing",
conferenceyear = "1993",
journalabr = "Proc ICASSP IEEE Int Conf Acoust Speech Signal
Process",
keywords = "Adaptive filtering; Adaptive systems; Algorithms;
Computer simulation; Computer software; Convergence of
numerical methods; Correlation methods; Correlation
theory; Data reduction; Digital filters; Expectation
analysis; Finite impulse response; Finite time
correlated Gaussian input data; Interference
suppression; Least mean square (LMS) algorithm;
Mathematical models; Recursive functions; Signal
filtering and prediction; Symbolic manipulation
software package Maple",
meetingaddress = "Minneapolis, MN, USA",
meetingdate = "Apr 27--30 1993",
meetingdate2 = "04/27--30/93",
publisherinfo = "IEEE Service Center",
sponsor = "IEEE; Signal Processing Society",
}
@Article{Elfimov:1993:VEC,
author = "A. G. Elfimov and E. S. Cheb-Terrab",
title = "{Vlasov-Maxwell} equations for complicated plasma
geometry",
journal = j-COMP-PHYS-COMM,
volume = "77",
number = "3",
pages = "357--373",
month = nov,
year = "1993",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The explicit form of Vlasov's equation for complicated
plasma geometries (toroidal and spherical types) is
obtained using the computer algebra package Maple. The
use of the result in particular plasma physics problems
is discussed. In addition, some remarks towards a
closed analytical solution of the set of Vlasov-Maxwell
equations are given.",
acknowledgement = ack-nhfb,
affiliation = "Universidade do Estado do Rio de Janeiro",
affiliationaddress = "Rio de Janeiro, Braz",
classification = "723.5; 921.1; 921.6; 932.3",
journalabr = "Comput Phys Commun",
keywords = "Algebra; Charged particles; Computational methods;
Computer aided analysis; Mathematical models; Numerical
methods; Plasma geometry; Plasma theory; Plasmas;
Software package Maple; Vlasov Maxwell equations",
}
@Article{Fleischmann:1993:SCC,
author = "Peter Fleischmann and Ingo Janiszczak",
title = "The semisimple conjugacy classes of finite groups of
{Lie} type ${E}_6$ and ${E}_7$",
journal = j-COMMUN-ALGEBRA,
volume = "21",
number = "1",
pages = "93--161",
year = "1993",
CODEN = "COALDM",
ISSN = "0092-7872",
MRclass = "20D06 (20G40)",
MRnumber = "93k:20029",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Jamshid Moori",
}
@InProceedings{Fofana:1993:EME,
author = "M. Fofana and I. LeGrow and S. Carr",
title = "Experiences with {Maple} in Engineering Education at
the {University of Waterloo}",
crossref = "Lee:1993:MCM",
pages = "27--33",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{Gander:1993:SPS,
author = "Walter Gander and Ji{\v{r}}i
H{\v{r}}eb{\'{\i}}{\v{c}}ek",
title = "Solving Problems in Scientific Computing Using {MAPLE}
and {MATLAB}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 268",
year = "1993",
ISBN = "0-387-57329-1, 3-540-57329-1",
LCCN = "Q183.9 .G36 1993",
bibdate = "Mon Nov 28 12:01:23 1994",
acknowledgement = ack-nhfb,
keywords = "MAPLE (computer file); MATLAB; science -- data
processing",
}
@Article{Gille:1993:SMD,
author = "Jean-Charles Gille and Stefan W{\k{e}}grzyn and Pierre
Vidal",
title = "Some models for developmental systems. {XIII}.
Multilevel development by parallel programming",
journal = j-INT-J-SYST-SCI,
volume = "24",
number = "3",
pages = "441--450",
year = "1993",
CODEN = "IJSYA9",
ISSN = "0020-7721",
MRclass = "93A10 (93B35)",
MRnumber = "94a:93002",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Guy Jumarie",
}
@InProceedings{Gillespie:1993:ECK,
author = "B. Gillespie and J. Uro",
title = "Exact Calculation of the {Kaplan-Meier} Bias using
{Maple} Software",
crossref = "Lee:1993:MCM",
pages = "128--136",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{Gloggengiesser:1993:MVS,
author = "H. Gloggengie{\ss}er",
title = "{Maple V Software f{\"u}r Mathematiker}",
publisher = "Markt \& Technik",
address = "??",
pages = "????",
year = "1993",
ISBN = "3-87791-439-X",
bibdate = "Wed Aug 30 09:28:32 1995",
acknowledgement = ack-nhfb,
}
@Article{Grant:1993:CBF,
author = "I. P. Grant and H. M. Quiney",
title = "A class of {Bessel} function integrals with
application in particle physics",
journal = j-J-PHYS-A,
volume = "26",
number = "24",
pages = "7547--7562",
year = "1993",
CODEN = "JPHAC5",
ISSN = "0305-4470",
MRclass = "81V10 (33C10 65R10)",
MRnumber = "95g:81220",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "T. Erber",
}
@InProceedings{Greene:1993:ICP,
author = "R. L. Greene",
title = "On Integrating Computers into the Physics Curriculum",
crossref = "Lee:1993:MCM",
pages = "34--42",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Gruntz:1993:NAC,
author = "Dominik Gruntz",
title = "A New Algorithm for Computing Asymptotic Series",
crossref = "Bronstein:1993:IPI",
pages = "239--244",
year = "1993",
bibdate = "Thu Mar 12 08:40:26 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p239-gruntz/",
abstract = "We describe a new algorithm for computing asymptotic
expansions for a large class of expressions, whereby
the asymptotic series are of a form more complicated
than mere Puiseux series. Today's computer algebra
systems still lack good algorithms for handling such
asymptotic expansions, although in theory some
algorithms have been presented. The algorithm we
present in this article is directly induced by the
limit computation algorithm presented in Gonnet and
Gruntz (1992) which is based on series computations in
terms of the most rapidly varying subexpression of a
given expression. Examples of the algorithm implemented
in Maple are shown.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Sci. Comput., Eidgenossische Tech.
Hochschule, Zurich, Switzerland",
classification = "C1100 (Mathematical techniques); C7310 (Mathematics
computing)",
keywords = "ACM; algebraic computation; algorithms; Asymptotic
expansions; Computer algebra; ISSAC; Maple; SIGSAM,
Asymptotic series; symbolic computation",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Analysis of
algorithms. {\bf I.1.2} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms,
Algebraic algorithms. {\bf I.1.3} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Languages and Systems.",
thesaurus = "Series [mathematics]; Symbol manipulation",
}
@Article{Harrison:1993:RAR,
author = "John Harrison and Laurent Thery",
title = "Reasoning About the Reals: The Marriage of {HOL} and
{Maple}",
journal = j-LECT-NOTES-COMP-SCI,
volume = "698",
pages = "351--??",
year = "1993",
CODEN = "LNCSD9",
ISSN = "0302-9743",
bibdate = "Tue Aug 26 15:40:30 1997",
acknowledgement = ack-nhfb,
}
@Book{Heck:1993:IM,
author = "Andr{\'e} Heck",
title = "Introduction to {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 497",
year = "1993",
ISBN = "0-387-97662-0, 3-540-97662-0",
LCCN = "QA155.7.E4H43 1993",
MRclass = "68Q40 (68T20)",
MRnumber = "MR1229074 (94e:68087)",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Holmes:1993:ECM,
author = "Mark H. Holmes and Joseph G. Ecker and William E.
Boyce and William L. Siegmann",
title = "Exploring Calculus with {Maple}",
publisher = pub-AW,
address = pub-AW:adr,
pages = "vii + 258",
year = "1993",
ISBN = "0-201-52616-6",
LCCN = "QA303.5.D37 E97 1993",
bibdate = "Wed Dec 15 09:12:29 1993",
acknowledgement = ack-nhfb,
}
@Article{Ioakimidis:1993:CBM,
author = "N. I. Ioakimidis and E. G. Anastasselou",
title = "Computer-based manipulation of systems of equations in
elasticity problems with {Gr{\"o}bner} bases",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "110",
number = "1-2",
pages = "103--111",
year = "1993",
CODEN = "CMMECC",
ISSN = "0045-7825",
MRclass = "73C02 (73-04 73V99)",
MRnumber = "94h:73024",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Jeffrey:1993:IOE,
author = "D. J. Jeffrey",
title = "Integration to obtain expressions valid on domains of
maximum extent",
crossref = "Bronstein:1993:IPI",
pages = "34--41",
year = "1993",
bibdate = "Thu Mar 12 08:40:26 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p34-jeffrey/",
abstract = "In certain circumstances, the integration routines
used by computer algebra systems return expressions
whose domains of validity are unnecessarily restricted
by the presence of discontinuities. It is argued that
this is undesirable and that integration routines
should meet an additional requirement: they should
return expressions that are valid on domains of maximum
extent. The contention is supported by general
mathematical arguments, by an examination of existing
practises and by a demonstration that two standard
algorithms can be modified to meet the requirement.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Univ. of Western Ontario,
London, Ont., Canada",
classification = "C4160 (Numerical integration and differentiation);
C6130 (Data handling techniques); C7310 (Mathematics
computing)",
keywords = "ACM; algebraic computation; algorithms; Computer
algebra systems; Discontinuities; General mathematical
arguments; Integration routines; languages; Maximum
extent; SIGSAM; Standard algorithms, ISSAC; symbolic
computation; Validity domains",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Mathematica. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple.",
thesaurus = "Integration; Symbol manipulation",
}
@Book{Johnson:1993:LAM,
author = "Eugene W. Johnson",
title = "Linear Algebra with {Maple V}",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xii + 142",
year = "1993",
ISBN = "0-534-13069-0",
LCCN = "QA185.D37 J64 1993",
bibdate = "Mon Aug 22 14:13:32 1994",
price = "US\$28.95",
acknowledgement = ack-nhfb,
}
@Article{Kalkbrener:1993:GEA,
author = "Michael Kalkbrener",
title = "A Generalized {Euclidean} Algorithm for Computing
Triangular Representations of Algebraic Varieties",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "2",
pages = "143--168 (or 143--167??)",
month = feb,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "13P10 (13-04 14-04 14Q15 68Q40)",
MRnumber = "94e:13053",
MRreviewer = "Robert O. Robson",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
affiliation = "Res. Inst. for Symbolic Comput., Linz Univ., Austria",
classcodes = "C7310 (Mathematics); C4130 (Interpolation and function
approximation); C4240 (Programming and algorithm
theory)",
classification = "C4130 (Interpolation and function approximation);
C4240 (Programming and algorithm theory); C7310
(Mathematics)",
corpsource = "Res. Inst. for Symbolic Comput., Linz Univ., Austria",
keywords = "algebraic varieties; Algebraic varieties;
computational complexity; computer algebra system
MAPLE; Computer algebra system MAPLE; generalized
Euclidean algorithm; Generalized Euclidean algorithm;
greatest common divisors; Greatest common divisors;
mathematics computing; polynomials; Polynomials;
radical membership; Radical membership; symbol
manipulation; triangular representations; Triangular
representations; unmixed-dimensional decomposition;
Unmixed-dimensional decomposition",
thesaurus = "Computational complexity; Mathematics computing;
Polynomials; Symbol manipulation",
treatment = "P Practical",
}
@Book{Kamminga-van-Hulsen:1993:CM,
author = "M. Kamminga-van Hulsen",
title = "Computeralgebra met {Maple}",
publisher = "Academic Service",
address = "????",
pages = "????",
year = "1993",
ISBN = "90-6233-923-9",
bibdate = "Wed Aug 30 09:30:28 1995",
acknowledgement = ack-nhfb,
}
@Article{Kautsky:1993:ACD,
author = "Jaroslav Kautsk{\'y}",
title = "An algebraic construction of discrete wavelet
transforms",
journal = j-APPL-MATH,
volume = "38",
number = "3",
pages = "169--193",
year = "1993",
CODEN = "????",
ISSN = "0862-7940",
MRclass = "65F30 (42C15 65T99)",
MRnumber = "94d:65029",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Fritz Keinert",
}
@Article{Kinderlehrer:1993:EDO,
author = "David Kinderlehrer and Biao Ou and Noel Walkington",
title = "The elementary defects of the {Oseen-Frank} energy for
a liquid crystal",
journal = j-C-R-MATH-I,
volume = "316",
number = "5",
pages = "465--470",
year = "1993",
CODEN = "CHASAP",
ISSN = "0764-4442",
MRclass = "58E12 (35Q99 76A15 82D30)",
MRnumber = "94a:58036",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Koekoek:1993:SDE,
author = "Roelof Koekoek",
title = "The search for differential equations for certain sets
of orthogonal polynomials",
journal = j-J-COMP-APPL-MATH,
volume = "49",
number = "1-3",
pages = "111--119",
year = "1993",
CODEN = "JCAMDI",
ISSN = "0377-0427",
MRclass = "33C45 (34A99 42C05)",
MRnumber = "95m:33008",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "Proceedings of the Seventh Spanish Symposium on
Orthogonal Polynomials and Applications (VII SPOA)
(Granada, 1991)",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Koornwinder:1993:ZAA,
author = "Tom H. Koornwinder",
title = "On {Zeilberger}'s algorithm and its $q$-analogue",
journal = j-J-COMP-APPL-MATH,
volume = "48",
number = "1-2",
pages = "91--111",
year = "1993",
CODEN = "JCAMDI",
ISSN = "0377-0427",
MRclass = "33C20 (05A19 05A30 33D15 68Q40)",
MRnumber = "95b:33011",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "Proceedings of the Seventh Spanish Symposium on
Orthogonal Polynomials and Applications (VII SPOA)
(Granada, 1991)",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Ira Gessel",
}
@InProceedings{Lim:1993:ACA,
author = "C. T. Lim and M. T. Ensz and M. A. Ganter and D. W.
Storti",
title = "Algebraic Computer Aided-Design with {Maple V.2}",
crossref = "Lee:1993:MCM",
pages = "169--175",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Llovet:1993:LRS,
author = "J. Llovet and R. Mart\'\i nez and J. A. Ja{\'e}n",
title = "Linear recurring sequences for computing the resultant
of multivariate polynomials",
journal = j-J-COMP-APPL-MATH,
volume = "49",
number = "1-3",
pages = "145--152",
year = "1993",
CODEN = "JCAMDI",
ISSN = "0377-0427",
MRclass = "65D05",
MRnumber = "94m:65022",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "Proceedings of the Seventh Spanish Symposium on
Orthogonal Polynomials and Applications (VII SPOA)
(Granada, 1991)",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Lohr:1993:RED,
author = "L. L. Lohr and C. H. Huben",
title = "Rotational Energy Dispersions for {van der Waals}
Molecular Clusters",
crossref = "Lee:1993:MCM",
pages = "137--143",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@InProceedings{Lopez:1993:MNA,
author = "R. J. Lopez",
title = "{Maple}: The New Apprenticeship in Applied
Mathematics",
crossref = "Grayson:1993:EER",
pages = "559--564",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
affiliation = "Rose-Hulman Inst. of Technol., Terre Hauke, IN, USA",
classification = "B0120 (Education and training); C7310 (Mathematics
computing); C7810C (Computer-aided instruction)",
keywords = "Applied mathematics; Computer algebra system;
Engineering analysis; Learning device; Maple;
Production tool; Software; Teaching device;
Undergraduate mathematics curriculum",
thesaurus = "Computer aided instruction; Educational courses;
Mathematics; Mathematics computing; Software packages",
}
@Article{Malle:1993:PGG,
author = "Gunter Malle",
title = "{Polynome mit Galoisgruppen ${\rm PGL}_2(p)$ und ${\rm
PSL}_2(p)$ {\"u}ber ${\bf Q}(t)$} ({German})
[{Polynomials} with {Galois} groups ${\rm PGL}_2(p)$
and ${\rm PSL}_2(p)$ over ${\bf Q}(t)$]",
journal = j-COMMUN-ALGEBRA,
volume = "21",
number = "2",
pages = "511--526",
year = "1993",
CODEN = "COALDM",
ISSN = "0092-7872",
MRclass = "12F12",
MRnumber = "94c:12007",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Martin Epkenhans",
}
@InProceedings{Mavaddat:1993:RSP,
author = "F. Mavaddat",
title = "The Role of a Symbolic Programming Language in
Hardware Verification: The Case of {Maple}",
crossref = "Lee:1993:MCM",
pages = "176--187",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{McLaughlin:1993:CMV,
author = "R. McLaughlin",
title = "Calculus and {Maple V}",
publisher = pub-SAUNDERS,
address = pub-SAUNDERS:adr,
pages = "????",
year = "1993",
ISBN = "0-03-096778-3",
bibdate = "Wed Aug 30 09:36:59 1995",
acknowledgement = ack-nhfb,
}
@InProceedings{Monagan:1993:GAD,
author = "M. B. Monagan and W. M. Neuenschwander",
title = "{GRADIENT}, Algorithmic Differentiation in {Maple}",
crossref = "Bronstein:1993:IPI",
pages = "68--76",
year = "1993",
bibdate = "Mon Sep 30 05:07:04 1996",
abstract = "Many scientific applications require computation of
the derivatives of a function $f:R^n$ to $R^m$ as well
as the function values of $f$ itself. All computer
algebra systems can differentiate functions represented
by formulae. But not all functions can be described by
formulae. And formulae are not always the most
effective means for representing functions and
derivatives. In this paper we describe the algorithms
used by the Maple (2) routine GRADIENT that accepts as
input a Maple procedure for the computation of $f$ and
outputs a new Maple procedure that computes the
gradient of $f$. The design of the GRADIENT routine is
such that it is also trivial to generate Maple
procedures for the computation of Jacobians and
Hessians.",
acknowledgement = ack-nhfb,
affiliation = "Inst. f{\"u}r Wissenschaftliches Rechnen,
Eidgenossische Tech. Hochschule, Zurich, Switzerland",
classification = "C4160 (Numerical integration and differentiation);
C6130 (Data handling techniques); C7310 (Mathematics
computing)",
keywords = "ACM; algebraic computation; Algorithmic
differentiation; Computer algebra systems; Function
values; GRADIENT; Hessians, ISSAC; Jacobians; Maple;
Scientific applications; SIGSAM; symbolic computation",
searchkey = "cn:issac",
thesaurus = "Differentiation; Mathematics computing; Symbol
manipulation",
}
@Article{Monagan:1993:GFC,
author = "Michael B. Monagan",
title = "{von zur Gathen}'s Factorization Challenge",
journal = j-SIGSAM,
volume = "27",
number = "2",
pages = "13--18",
month = apr,
year = "1993",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Mon Jan 08 17:58:32 1996",
abstract = "J. von zur Gathen (ibid., vol.26, no.2, 1992) made a
polynomial factorization challenge to focus practical
efforts in the area of factorization over finite
fields. With more powerful machines and more time (the
longest factorization took 32 hours) this `brute-force'
approach will carry somewhat further, and probably
solve the first challenge: The author has factored
these polynomials on a DEC station 3100.",
acknowledgement = ack-nhfb,
affiliation = "Inst. f{\"u}r Wissenschaftliches Rechnen, ETH Zentrum,
Zurich, Switzerland",
classification = "C7310 (Mathematics)",
keywords = "DEC station 3100; Factorization; Finite fields; Maple;
Polynomials",
pubcountry = "USA",
thesaurus = "Mathematics computing",
}
@Book{Murray:1993:EPD,
author = "Carl D. Murray and David Harper",
title = "Expansion of the Planetary Disturbing Function to
Eighth Order in the Individual Orbital Elements",
volume = "15",
publisher = pub-SMS-QMWC-UL,
address = pub-SMS-QMWC-UL:adr,
pages = "vii + 436",
year = "1993",
ISBN = "0-902480-14-6",
LCCN = "QB603.M6 M87 1993",
MRclass = "70F15 (70-04 70F07)",
MRnumber = "94h:70012",
bibdate = "Thu Dec 28 10:25:43 1995",
note = "The machine-readable version is available via
anonymous ftp from either \path=galois.maths.qmw.ac.uk=
(\path=138.37.80.15=) or \path=euclid.maths.qmw.ac.uk=
(\path=138.37.80.16=) in the directory
\path=pub/expan=. The book was generated automatically
from the {Maple}\slash Mathematica output to produce a
Plain {\TeX} file.",
price = "UD\pounds 13.00",
series = "QMW Maths Notes",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Nagata:1993:NIT,
author = "Wayne Nagata",
title = "Nonhyperbolic invariant tori in a double {Hopf}
bifurcation with reflection symmetry",
journal = j-NONLINEARITY,
volume = "6",
number = "2",
pages = "259--275",
year = "1993",
CODEN = "NONLE5",
ISSN = "0951-7715",
MRclass = "58F14 (34C23 34C35)",
MRnumber = "94c:58139",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Ian Melbourne",
}
@InProceedings{Nguyen:1993:SCC,
author = "T. T. Nguyen",
title = "Symbolic Computation in Computable General Equilibrium
Modeling",
crossref = "Lee:1993:MCM",
pages = "144--156",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Piecuch:1993:MSC,
author = "P. Piecuch",
title = "{MAPLE} Symbolic Computation of the Long-Range
Many-Body Intermolecular Potentials: Three-Body
Induction Forces Between Two Atoms and a Linear
Molecule",
journal = j-IJQC,
volume = "47",
number = "4",
pages = "261--305",
year = "1993",
CODEN = "IJQCB2",
ISSN = "0020-7608",
bibdate = "Wed Jan 3 14:24:13 MST 1996",
acknowledgement = ack-nhfb,
affiliation = "Inst. of Chem., Wroclaw Univ., Poland",
chemicalindex = "ArArHCl/ss Ar/ss Cl/ss H/ss",
classification = "A3420 (Interatomic and intermolecular potentials and
forces); C7320 (Physics and Chemistry)",
keywords = "Ar-Ar-HCl; Atoms; High-resolution microwave studies;
Irreducible tensor formalism; Isosceles triangular
configuration; LATEX; Linear molecule; Long-range
many-body intermolecular potentials; MAPLE symbolic
computation; Multipole approximation level; Nonadditive
induction effects; Rayleigh-Schr{\"o}dinger
perturbation theory; Three-body induction forces;
Typesetting language; Van der Waals coefficients",
thesaurus = "Argon; Hydrogen compounds; Intermolecular mechanics;
Physics computing; Potential energy functions",
}
@InProceedings{Pinchback:1993:WLM,
author = "R. Pinchback",
title = "Working with Large Matrices in {Maple}",
crossref = "Lee:1993:MCM",
pages = "77--86",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Book{Redfern:1993:MH,
author = "Darren Redfern",
title = "The {Maple} Handbook",
publisher = pub-SV,
address = pub-SV:adr,
pages = "497",
year = "1993",
ISBN = "0-387-94054-5 (New York), 3-540-94054-5 (Berlin)",
LCCN = "QA76.95 .R43 1993",
bibdate = "Fri Apr 01 17:21:27 1994",
price = "FF 181,00",
acknowledgement = ack-nhfb,
}
@InProceedings{Rhee:1993:UMA,
author = "N. H. Rhee",
title = "Using {Maple} for Asymptotic Convergence Analysis",
crossref = "Lee:1993:MCM",
pages = "87--94",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@InProceedings{Royster:1993:UMC,
author = "D. C. Royster",
title = "Using {Maple} and the Calculus Reform Material in the
Calculus Sequence",
crossref = "Lee:1993:MCM",
pages = "43--50",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Salvy:1993:EPM,
author = "Bruno Salvy",
title = "Efficient programming in {Maple}: a case study",
journal = j-SIGSAM,
volume = "27",
number = "2",
pages = "1--12",
month = apr,
year = "1993",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Mon Jan 08 17:58:38 1996",
abstract = "Studying the computation of orbits of some given group
acting on a set, the author shows how successive
refinements of a simple program provide a speedup
factor of up to 200. The initial program cannot solve
the problem at all, it is first converted into a
program which needs one c.p.u. week and after all the
optimizations have been performed, the computation
takes only four hours. Although the problem is
specific, he shows that many of the optimizations are
of interest for other problems as well.",
acknowledgement = ack-nhfb,
affiliation = "Algorithms Project, INRIA Rocquencourt, Le Chesnay,
France",
classification = "C4140 (Linear algebra); C6110 (Systems analysis and
programming); C7310 (Mathematics)",
keywords = "Maple; Orbits; Programming; Successive refinements",
pubcountry = "USA",
thesaurus = "Mathematics computing; Matrix algebra; Programming",
}
@Misc{Scheer:1993:KBF,
author = "Axel Scheer",
title = "Kurvendiskussion Bestimmter Funktionen",
howpublished = "Studienarbeit",
school = "Technischen Universit{\"{a}}t Carolo-Wilhelmina zu
Braunschweig",
address = "Braunschweig, Germany",
year = "1993",
bibdate = "Sat Dec 30 09:07:45 1995",
acknowledgement = ack-nhfb,
annote = "In der Studienarbeit Wurden Algorithmen zur Behandlung
der Nullstellen, Extremwerte und der Wendepunkte Sowie
das Symmetrie- und Monotonieverhalten Einiger
Elementarer Funktionen in Maple Implementiert.",
descriptor = "Kurvendiskussion, Maple, Symbolmanipulation",
}
@InProceedings{Scheftic:1993:IMT,
author = "C. Scheftic",
title = "Interactive Mathematics Texts: Ideas for Developers",
crossref = "Lee:1993:MCM",
pages = "51--64",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Seidel:1993:PFG,
author = "Hans-Peter Seidel",
title = "Polar forms for geometrically continuous spline curves
of arbitrary degree",
journal = j-TOG,
volume = "12",
number = "1",
pages = "1--34",
month = jan,
year = "1993",
CODEN = "ATGRDF",
ISSN = "0730-0301",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "This paper studies geometrically continuous spline
curves of arbitrary degree. Based on the concept of
universal splines, we obtain geometric constructions
for both the spline control points and for the Bezier
points and give algorithms for computing locally
supported basis functions and for knot insertion. The
geometric constructions are based on the intersection
of osculating flats. The concept of universal splines
is defined in such a way that these intersections are
guaranteed to exist. As a result of this development,
we obtain a generalization of polar forms to
geometrically continuous spline curves by intersecting
osculating flats. The presented algorithms have been
coded in Maple, and concrete examples illustrate the
approach.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Waterloo",
affiliationaddress = "Waterloo, Ont, Can",
classification = "723.5; 921.1; 921.6",
journalabr = "ACM Trans Graphics",
keywords = "Algorithms; B spline; Bezier point; Computational
methods; Computer aided design; Computer graphics;
Connection matrix; de Boor algorithm; Geometrically
continuous spline curves; Geometry; Graphic methods;
Knot insertion; Maple; Matrix algebra; Osculating flat;
Polar forms; Poles and zeros; Spline control point;
Vectors",
}
@InProceedings{Shirayanagi:1993:ACF,
author = "Kiyoshi Shirayanagi",
title = "An algorithm to compute floating point {Gr{\"o}bner}
bases",
crossref = "Lee:1993:MCM",
pages = "95--106",
year = "1993",
MRclass = "68Q40 (13P10 68Q25)",
MRnumber = "94j:68129",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Article{Siegl:1993:PAS,
author = "Kurt Siegl",
title = "Parallelizing algorithms for symbolic computation
using $\parallel${Maple}$\parallel$",
journal = j-SIGPLAN,
volume = "28",
number = "7",
pages = "179--186",
month = jul,
year = "1993",
CODEN = "SINODQ",
ISSN = "0362-1340",
bibdate = "Sun Dec 14 09:16:39 MST 2003",
bibsource = "Compendex database; http://portal.acm.org/",
abstract = "$\parallel$Maple$\parallel$ (speak: parallel Maple) is
a portable system for parallel symbolic computation.
The system is built as an interface between the
parallel declarative programming language Strand and
the sequential computer algebra system Maple, thus
providing the elegance of Strand and the power of the
existing sequential algorithms in Maple. The
implementation of different parallel programming
paradigms shows that it is fairly easy to parallelize
even complex algebraic algorithms using this system.
Sample applications (among them algorithms solving
multivariate nonlinear equation systems) are
implemented on various parallel architectures. For
example a straightforward parallelization of the
complex and important problem of real root isolation
has been parallelized using a generic Strand program of
fewer than 20 lines of code and a slight modification
of 5 lines in the original sequential Maple source.
Even with such a simple modification we gained a
speed-up of 5 times, that is better than those reported
by others in the literature.",
acknowledgement = ack-nhfb,
affiliation = "Res. Inst. for Symbolic Comput., Johannes Kepler
Univ., Linz, Austria",
classification = "721.1; 722.4; 723.1; 921.1; C6110P (Parallel
programming); C6140D (High level languages); C7310
(Mathematics)",
confdate = "19-22 May 1993",
conference = "Proceedings of the 4th ACM SIGPLAN Symposium on
Principles \& Practice of Parallel Programming",
conferenceyear = "1993",
conflocation = "San Diego, CA, USA",
confsponsor = "ACM",
keywords = "Algebra; Algorithms; Complex algebraic algorithms;
Computational methods; Computer programming languages;
Computer software portability; Generic Strand program;
Interfaces (computer); Logic programming; Multivariate
nonlinear equation systems; Parallel architectures;
Parallel declarative programming language Strand;
Parallel Maple; Parallel processing systems; Parallel
programming paradigms; Parallel symbolic computation;
Portable system; Real root isolation; Sequential
algorithms; Sequential computer algebra system; Slight
modification; Subroutines; Symbolic computation",
meetingabr = "Proc 4th ACM SIGPLAN Symp Princ Pract Parallel
Program",
meetingaddress = "San Diego, CA, USA",
meetingdate = "May 19--22 1993",
meetingdate2 = "05/19--22/93",
pubcountry = "USA",
sponsor = "Association for Computing Machinery",
thesaurus = "Parallel languages; Parallel programming; Symbol
manipulation",
}
@InProceedings{Thompson:1993:SCS,
author = "D. Thompson and T. Trias and L. Leff",
title = "A Symbolic {CSG} System Written in {Maple V}",
crossref = "Lee:1993:MCM",
pages = "188--199",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@InProceedings{Tsang:1993:SNN,
author = "C. P. Tsang",
title = "Synthesizing neural network applications using
computer algebra",
crossref = "IEEE:1993:JNP",
volume = "1",
pages = "919--922",
year = "1993",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The software engineering of Neural Network (NN)
applications faces many different problems from those
of traditional programming. Due to the stochastic
nature of NN, it is extremely hard to verify the
correctness of a NN application by exhaustive testing.
It is also very hard to tell whether a NN application
is generating the intended results, because there are
many parameters and variables. Lastly, NN software is
usually time intensive and highly optimised code is
required. This paper explores the use of computer
algebra to synthesize neural network applications. We
can generate highly reliable and efficient codes
(probably the most efficient possible) from a high
level NN algebraic specification. The computer algebra
package not only handles most of the algebraic
manipulation in the deviation of the computation
formulas, but also perform simplification and
verification. Due to the non-existence of control
codes, synthesized NN codes can fully exploit computer
architecture such as high-speed cache and pipelines.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Western Australia",
affiliationaddress = "Nedlands, Aust",
classification = "722.4; 723.1.1; 723.4; 723.5; 921.1; 921.6",
conference = "Proceedings of 1993 International Joint Conference on
Neural Networks. Part 1 (of 3)",
conferenceyear = "1993",
journalabr = "Proc Int Jt Conf Neural Networks",
keywords = "Algebra; Analog and digital hardware implementation;
Back propagation algorithm; Codes (symbols);
Computation formula; Computer aided analysis; Computer
algebra; Computer architecture; Gradient decent method;
High level languages; Maple (programming language);
Mathematical operators; Neural networks; Software
engineering",
meetingaddress = "Nagoya, Japan",
meetingdate = "Oct 25--29 1993",
meetingdate2 = "10/25--29/93",
publisherinfo = "IEEE Service Center",
sponsor = "ENNS; INNS; IEEE; SICE; IEICE; et al",
}
@InProceedings{Volcheck:1993:NTS,
author = "Emil J. Volcheck",
title = "{Noether}'s ${S}$-transformation simplifies curve
singularities rationally: a local analysis",
crossref = "Bronstein:1993:IPI",
pages = "164--172",
year = "1993",
bibdate = "Thu Mar 12 08:40:26 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/164081/p164-volcheck/",
acknowledgement = ack-nhfb,
keywords = "algorithms; languages; verification",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms. {\bf F.2.2} Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Nonnumerical Algorithms and Problems,
Geometrical problems and computations. {\bf I.1.3}
Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, Languages and Systems, Maple.",
}
@Article{Wang:1993:ACI,
author = "Rongdong Wang and Peng-yung Woo",
title = "Automatic computation of {$z$}- \& inverse
{$z$}-transformations by {Maple}",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "3",
pages = "349--363",
month = mar,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40",
MRnumber = "MR1229641",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/maple-extract.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Texas A and I Univ., Kingsville, TX,
USA",
classcodes = "C7310 (Mathematics); C6115 (Programming support)",
classification = "C6115 (Programming support); C7310 (Mathematics)",
corpsource = "Dept. of Math., Texas A and I Univ., Kingsville, TX,
USA",
fjournal = "Journal of Symbolic Computation",
keywords = "Algebraic manipulation software; algebraic
manipulation software; Inverse Z-transformations;
inverse Z-transformations; manipulation; Maple;
mathematics computing; software packages; symbol;
Z-transformation; z-transformation",
thesaurus = "Mathematics computing; Software packages; Symbol
manipulation",
treatment = "P Practical",
}
@Book{Waterloo:1993:MV,
author = "{Waterloo {Maple} Software}",
title = "{Maple V}",
publisher = pub-WATERLOO-MAPLE-SOFTWARE,
address = pub-WATERLOO-MAPLE-SOFTWARE:adr,
edition = "Student version, release 2",
year = "1993",
ISBN = "0-387-14211-8",
LCCN = "QA76.95",
bibdate = "Tue Aug 22 17:43:09 1995",
note = "Six computer disks.",
acknowledgement = ack-nhfb,
}
@InProceedings{Watkins:1993:CST,
author = "J. Watkins and S. Yurkovich",
title = "Calculation of the State Transition Matrix for Linear
Time Varying Systems",
crossref = "Lee:1993:MCM",
pages = "157--166",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Maple; mathematical computation; MSWS",
}
@Book{Werner:1993:MLMa,
author = "W. Werner",
title = "{Mathematik lernen mit Maple {V}}",
publisher = pub-ELBI,
address = pub-ELBI:adr,
pages = "????",
year = "1993",
ISBN = "3-929694-03-4",
bibdate = "Wed Aug 30 09:42:40 1995",
acknowledgement = ack-nhfb,
}
@Book{Werner:1993:MLMb,
author = "W. Werner",
title = "{Mathematikaufgaben l{\"o}sen mit Maple {V}}",
publisher = pub-ELBI,
address = pub-ELBI:adr,
pages = "????",
year = "1993",
ISBN = "3-929694-04-2",
bibdate = "Wed Aug 30 09:42:40 1995",
note = "Includes diskette.",
acknowledgement = ack-nhfb,
}
@InProceedings{Yang:1993:MIT,
author = "W.-C. Yang",
title = "{Maple} and the Integral Test for Series",
crossref = "Lum:1993:TCM",
pages = "465--467",
year = "1993",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{Zizi:1993:MIE,
author = "Jacqueline Zizi",
title = "Math{\'{e}}matiques, informatique et enseignement",
publisher = "Ed. Archim{\`{e}}de, Ed. du Choix",
address = "Argenteuil, France",
pages = "xxv + 303",
year = "1993",
ISBN = "2-909028-13-5",
LCCN = "????",
bibdate = "Mon Apr 8 10:31:32 MDT 1996",
acknowledgement = ack-nhfb,
keywords = "Derive (Logiciel); Maple (Logiciel); Mathematica
(Logiciel)",
}
@Book{Abell:1994:DEM,
author = "Martha L. Abell and James P. Braselton",
title = "Differential Equations with {Maple V}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiv + 684",
year = "1994",
ISBN = "0-12-041548-8",
LCCN = "QA371.5.D37A23 1994",
bibdate = "Sat Oct 15 12:40:57 1994",
price = "US\$44.95",
acknowledgement = ack-nhfb,
}
@Book{Abell:1994:MVE,
author = "Martha L. Abell and James P. Braselton",
title = "{Maple V} by Example",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xii + 500",
year = "1994",
ISBN = "0-12-041545-3",
LCCN = "QA76.95 .A212 1994",
bibdate = "Wed Aug 30 10:18:34 1995",
price = "US\$39.95",
acknowledgement = ack-nhfb,
}
@Book{Abell:1994:MVH,
author = "Martha L. Abell and James P. Braselton",
title = "The {Maple V} Handbook",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
year = "1994",
ISBN = "0-12-041542-9",
LCCN = "QA76.95.A213 1994",
bibdate = "Sat Oct 15 12:41:18 1994",
price = "US\$39.95",
acknowledgement = ack-nhfb,
}
@Book{Adams:1994:AAS,
author = "Barry G. Adams",
title = "Algebraic Approach to Simple Quantum Systems with
Applications to Perturbation Theory",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 451",
year = "1994",
ISBN = "3-540-57801-3",
LCCN = "QC174.17.P45 A33 1994",
bibdate = "Wed Aug 30 10:02:27 1995",
acknowledgement = ack-nhfb,
}
@Article{Allen:1994:CAS,
author = "S. Allen and G. J. Fee and A. T. Kachura and F. W.
Letniowski and R. G. McLenaghan",
title = "Comparison of algorithms for the symbolic computation
of the {NP} spin coefficients and curvature
components",
journal = j-GEN-RELATIVITY-GRAV,
volume = "26",
number = "1",
pages = "21--40",
year = "1994",
CODEN = "GRGVA8",
ISSN = "0001-7701",
MRclass = "83-08 (83C60)",
MRnumber = "94k:83003",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "J. B. Griffiths",
}
@InProceedings{Alonso:1994:FMP,
author = "C. Alonso and J. Gutierrez and T. Recio",
title = "{FRAC}: {A} {Maple} Package for Computing in the
Rational Function Field ${K}({X})$",
crossref = "Lopez:1994:MVM",
pages = "107--115",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Anonymous:1994:IOM,
author = "Anonymous",
title = "Introduction: overview of {MAPLE} applications to
general relativity",
crossref = "MacCallum:1994:ACG",
pages = "267--269",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1994:MV,
author = "Anonymous",
title = "{Maple V} 3.0",
journal = j-MACWORLD,
volume = "11",
number = "10",
pages = "73--??",
month = oct,
year = "1994",
CODEN = "MACWEA",
ISSN = "0741-8647",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Symbolic computer mathematics.",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1994:PR,
author = "Anonymous",
title = "Product Reviews",
journal = j-COMPUTER,
volume = "27",
number = "7",
pages = "97--??",
month = jul,
year = "1994",
CODEN = "CPTRB4",
ISSN = "0018-9162",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Mathematics; Maple; Inventor.",
acknowledgement = ack-nhfb,
}
@Book{Argabright:1994:CWU,
author = "L. N. Argabright and R. C. Busby",
title = "Calculus Workbook Using {Maple}",
publisher = pub-KENDALL-HUNT,
address = pub-KENDALL-HUNT:adr,
pages = "????",
year = "1994",
ISBN = "0-7872-0081-6",
bibdate = "Wed Aug 30 09:12:58 1995",
acknowledgement = ack-nhfb,
}
@Book{Artino:1994:ECM,
author = "C. Q. Artino and J. R. Kolod and B. Evans and J.
Johnson",
title = "Exploring Calculus with {Maple}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "1994",
ISBN = "0-471-09703-9",
bibdate = "Wed Aug 30 09:14:17 1995",
acknowledgement = ack-nhfb,
}
@InProceedings{Atzema:1994:MVG,
author = "E. Atzema",
title = "{Maple V} and Geometrical Optics: Aberration
Coefficients in Arbitrary Optical Systems",
crossref = "Lopez:1994:MVM",
pages = "209--218",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Bauldry:1994:SIM,
author = "W. C. Bauldry",
title = "({SAT-M0}) An Introduction to {Maple V0T0M} on the
{PC}",
crossref = "Lum:1994:PFA",
pages = "107--113",
year = "1994",
bibdate = "Sat Aug 17 16:30:23 1996",
acknowledgement = ack-nhfb,
}
@Book{Baylis:1994:TMP,
author = "William E. Baylis",
title = "Theoretical Methods in the Physical Sciences: an
introduction to problem solving using {Maple V}",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xvii + 286",
year = "1994",
ISBN = "0-8176-3715-X",
LCCN = "Q183.9 .B39 1994",
bibdate = "Thu Dec 28 12:04:51 1995",
URL = "http://www.birkhauser.com/Books/baylis/summary.htm",
acknowledgement = ack-nhfb,
}
@Book{Bekker:1994:IEM,
author = "Paul A. Bekker and Arjen Merckens and Tom J.
Wansbeek",
title = "Identification, Equivalent Models, and Computer
Algebra",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "ix + 211",
year = "1994",
ISBN = "0-12-084775-2",
LCCN = "QA276.8 .B45 1994",
bibdate = "Wed Aug 30 09:58:22 1995",
acknowledgement = ack-nhfb,
}
@Article{Belair:1994:SBE,
author = "Jacques B{\'e}lair and Sue Ann Campbell",
title = "Stability and bifurcations of equilibria in a
multiple-delayed differential equation",
journal = j-SIAM-J-APPL-MATH,
volume = "54",
number = "5",
pages = "1402--1424",
year = "1994",
CODEN = "SMJMAP",
ISSN = "0036-1399",
MRclass = "34K15 (34K20 58F36 92C20)",
MRnumber = "95j:34100",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Ovide Arino",
}
@InProceedings{Bertrand:1994:INA,
author = "Laurent Bertrand",
title = "On the implementation of a new algorithm for the
computation of hyperelliptic integrals",
crossref = "ACM:1994:IPI",
pages = "211--215",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p211-bertrand/",
abstract = "We present an implementation in Maple of a new
algorithm for the algebraic function integration
problem in the particular case of hyperelliptic
integrals. This algorithm is based on the general
algorithm of Trager (1984) and on the arithmetic in the
Jacobian of hyperelliptic curves of Cantor (1987).",
acknowledgement = ack-nhfb,
affiliation = "Lab. d'Arithmetique, Calcul Formel et Optimisation,
Limoges Univ., France",
classification = "B0290M (Numerical integration and differentiation);
B0290R (Integral equations); C4160 (Numerical
integration and differentiation); C4180 (Integral
equations); C7310 (Mathematics computing)",
keywords = "Algebraic function integration problem; algorithms;
Hyperelliptic curves; Hyperelliptic integrals; Maple;
theory",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple. {\bf F.2.1} Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Numerical Algorithms and Problems, Computations on
polynomials.",
thesaurus = "Elliptic equations; Integral equations; Integration;
Symbol manipulation",
}
@InProceedings{Bilonick:1994:UMD,
author = "R. A. Bilonick",
title = "Using {Maple} to Design a Complex Mixture Experiment",
crossref = "Lopez:1994:MVM",
pages = "228--234",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Blachman:1994:MVP,
author = "Nancy Blachman and Michael J. Mossinghoff",
title = "{Maple V}, {A} Practical Approach",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "????",
month = mar,
year = "1994",
ISBN = "????",
LCCN = "????",
bibdate = "Sat Mar 09 08:37:09 1996",
acknowledgement = ack-nhfb,
}
@Book{Blachman:1994:MVQ,
author = "Nancy Blachman and Michael J. Mossinghoff",
title = "{Maple V} Quick Reference",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xiii + 522",
year = "1994",
ISBN = "0-534-20478-3",
LCCN = "QA76.95 .B52 1994",
bibdate = "Sat Mar 09 09:35:31 1996",
acknowledgement = ack-nhfb,
keywords = "maple (computer file); mathematics -- data
processing",
}
@Article{Bragg:1994:AAS,
author = "L. R. Bragg and B. Cahlon",
title = "Analytic approximation of solutions of differential
equations",
journal = j-COMPLEX-VARIABLES-THEORY-APPL,
volume = "26",
number = "1-2",
pages = "11--40",
year = "1994",
CODEN = "CVTADV",
ISSN = "0278-1077",
MRclass = "34A45 (34-04)",
MRnumber = "95j:34019",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Brown:1994:BCI,
author = "R. C. Brown and Man Kam Kwong",
booktitle = "Inequalities and applications",
title = "On the best constant for the inequality
$\int^\infty_0y^{\prime2}\leq {K}(\int^\infty_0\vert
y\vert )\max_{(0,\infty)}\vert y''\vert $",
volume = "3",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "103--121",
year = "1994",
MRclass = "26D10 (34A40)",
MRnumber = "95m:26032",
bibdate = "Thu Dec 28 10:25:43 1995",
series = "World Sci. Ser. Appl. Anal.",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "V, Raghavendra",
}
@Article{Brown:1994:RDN,
author = "B. M. Brown and M. S. P. Eastham and W. D. Evans and
V. G. Kirby",
title = "Repeated diagonalization and the numerical computation
of the {Titchmarsh-Weyl} $m(\lambda)$-function",
journal = j-PROC-ROY-SOC-LONDON-SER-A,
volume = "445",
number = "1923",
pages = "113--126",
year = "1994",
MRclass = "34B24 (34A45 47E05)",
MRnumber = "95c:34046",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "J. K. Shaw",
}
@Book{Burkhardt:1994:ESM,
author = "Werner Burkhardt",
title = "{Erste Schritte mit Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "????",
year = "1994",
ISBN = "3-540-56649-X",
bibdate = "Wed Aug 30 09:20:26 1995",
acknowledgement = ack-nhfb,
}
@Book{Burkhardt:1994:FSM,
author = "Werner Burkhardt",
title = "First Steps in {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 118",
year = "1994",
ISBN = "0-387-19874-1 (New York), 3-540-19874-1 (Berlin)",
LCCN = "QA76.95 .B86713 1994",
bibdate = "Tue Jun 06 18:02:22 1995",
price = "US\$19.95",
acknowledgement = ack-nhfb,
}
@Article{Cairo:1994:ICT,
author = "L. Cair{\'o} and D. D. Hua and M. R. Feix",
title = "Invariants for a cubic three-wave system",
journal = j-J-PHYS-A,
volume = "27",
number = "15",
pages = "L547--L551",
year = "1994",
CODEN = "JPHAC5",
ISSN = "0305-4470",
MRclass = "58F25 (34A34 35Q99 58-04)",
MRnumber = "95h:58113",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Jean Moulin Ollagnier",
}
@InProceedings{Chan:1994:DAP,
author = "K. C. Chan and A. Diaz and E. Kaltofen",
title = "A Distributed Approach to Problem Solving in {Maple}",
crossref = "Lopez:1994:MVM",
pages = "13--21",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Char:1994:AIT,
author = "Bruce W. Char and Mark F. Russo",
title = "Automatic identification of time scales in enzyme
kinetics models",
crossref = "ACM:1994:IPI",
pages = "74--83",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p74-char/",
abstract = "Many chemical reaction systems studied in the
pharmaceutical industry have phenomena that occur on
two or more vastly different time scales. When modeling
the chemical reaction system as ordinary differential
equations, if a small parameter $E$ can be identified
then one can isolate the behavior of the system on long
and short time scales using singular perturbation
theory. In practice, the small parameter is discovered
using knowledge about the chemical reaction system that
is not necessarily contained in the mathematics of the
model. If a small parameter cannot be easily
identified, then the approach is typically abandoned.
The authors present a procedure that derives algebraic
expressions for dual time scales in mathematical models
of chemical reaction systems. Unlike conventional
practice, this derivation proceeds using only
information contained in the model, without knowledge
of a small parameter derived through external
considerations. The authors' procedure, Scales, is
based on rules that arise from the `art and practice'
of applying the quasi-steady-state assumption to derive
the Michaelis-Menton equations. The authors depart from
standard practice of singular perturbation theory,
using instead the viewpoint of Segel and Slemrod
(1989). They have implemented Scales in Maple. Scales
is closer to an `expert system' than a `scale oracle'
or decision procedure. Its shortcomings necessitate
subsequent verification of its results, typically
through numerical or laboratory experimentation. If
validated, additional computer algebra techniques can
be used to simplify the mathematical model and isolate
the long time scale behavior.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Comput. Sci., Drexel Univ.,
Philadelphia, PA, USA",
classification = "A8220W (Computational modelling of chemical
kinetics); A8230V (Homogeneous catalysis); A8240
(Chemical kinetics and reactions: special regimes);
A8715D (Physical chemistry of biomolecular solutions;
C1220 (Simulation, modelling and identification); C4170
(Differential equations); C6170 (Expert systems); C7320
(Physics and chemistry computing); C7450 (Chemical
engineering computing); condensed states)",
keywords = "Algebraic expression; algorithms; Automatic
identification; Biochemistry; Biology computing;
Catalysis; Chemical kinetics model; Chemical reaction;
Dual time scale; Enzyme; Maple; Mathematical model;
Metabolism; Michaelis-Menton equations; Ordinary
differential equations; Pharmaceutical; Reaction
kinetics; Scales; Singular perturbation theory; Time
scale; verification",
subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Languages and Systems, Maple.
{\bf J.2} Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Chemistry. {\bf G.1.7} Mathematics of
Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations. {\bf F.2.1} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems. {\bf G.1.4} Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation.",
thesaurus = "Chemical engineering computing; Differential
equations; Identification; Knowledge based systems;
Pharmaceutical industry; Proteins; Reaction kinetics
theory; Scaling phenomena; Symbol manipulation",
}
@Article{Cheb-Terrab:1994:MPP,
author = "E. S. Cheb-Terrab",
title = "{Maple} procedures for partial and functional
derivatives",
journal = j-COMP-PHYS-COMM,
volume = "79",
number = "3",
pages = "409--424",
month = may,
year = "1994",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
MRclass = "65-04",
MRnumber = "MR1275256",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "A package with new Maple V commands for the evaluation
of partial derivatives, functional derivatives and
integrals containing the Dirac delta function is
presented. Some examples of the use of these commands
in physics are shown.",
acknowledgement = ack-nhfb,
affiliation = "Universidade do Estado do Rio de Janeiro",
affiliationaddress = "Rio de Janeiro, Braz",
classification = "723.5; 921.2; 931",
fjournal = "Computer Physics Communications. An International
Journal and Program Library for Computational Physics
and Physical Chemistry",
journalabr = "Comput Phys Commun",
keywords = "Computational methods; Computer programming languages;
Computer software; Dirac delta function; Function
evaluation; Functional derivatives; Integral equations;
Integration; Maple V (programming language); Natural
sciences computing; Partial derivatives; Physics;
Subroutines",
}
@Book{Cheung:1994:MCM,
author = "C. K. Cheung and John Harer",
title = "Multivariable Calculus with {Maple V}",
publisher = pub-JW,
address = pub-JW:adr,
edition = "Preliminary",
pages = "xiv + 366",
year = "1994",
ISBN = "0-471-59835-6",
bibdate = "Wed Aug 10 11:22:24 1994",
acknowledgement = ack-nhfb,
}
@InProceedings{Corless:1994:SAC,
author = "Robert M. Corless",
title = "Sufficiency analysis for the calculus of variations",
crossref = "ACM:1994:IPI",
pages = "197--204",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p197-corless/",
abstract = "Many of the computations in the calculus of variations
are algebraic in nature: computing the Euler-Lagrange
equations and solving them, for example. However,
deciding whether or not the computed extremals provide
minima or maxima is an analytic problem, and one that
has not been previously attempted in a computer algebra
package. I describe here a Maple implementation of some
techniques for making these decisions, and detail some
successes and failures. Some of the failures point to
areas where computer algebra systems could be
improved.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Univ. of Western Ontario,
London, Ont., Canada",
classification = "C6130 (Data handling techniques); C7310 (Mathematics
computing)",
keywords = "algorithms; Calculus of variations; Computer algebra
package; Computer algebra systems; Euler-Lagrange
equations; Maple implementation; Sufficiency analysis;
theory",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Special-purpose algebraic systems.",
thesaurus = "Mathematics computing; Symbol manipulation",
}
@InProceedings{Corless:1994:SBL,
author = "R. M. Corless and K. El-Sawy",
title = "Solution of Banded Linear Systems of Equations in
{Maple} Using {$LU$} Factorization",
crossref = "Lopez:1994:MVM",
pages = "219--227",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Cowan:1994:FLM,
author = "Richard Cowan and Albert K. L. Tsang",
title = "The falling-leaves mosaic and its equilibrium
properties",
journal = j-ADV-APPL-PROB,
volume = "26",
number = "1",
pages = "54--62",
year = "1994",
CODEN = "AAPBBD",
ISSN = "0001-8678",
MRclass = "60D05 (52A22)",
MRnumber = "94i:60013",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Cox:1994:ACA,
author = "Hazel Cox and Stephen J. Smith and Brian T.
Sutcliffe",
title = "Application of the computer algebra system {Maple} for
calculations on atomic and molecular systems",
journal = j-COMP-PHYS-COMM,
volume = "84",
number = "1-3",
pages = "186--200",
month = nov,
year = "1994",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "This paper presents a discussion of some programs
written in the computer algebra language Maple and in
the C language for solving the body-fixed Schroedinger
equation for three particles with Coulomb interaction
in perimetric coordinates by means of a series
solution.",
acknowledgement = ack-nhfb,
affiliation = "Univ of York",
affiliationaddress = "York, UK",
classification = "723.1; 723.1.1; 921.1; 921.5; 921.6; 931.3",
journalabr = "Comput Phys Commun",
keywords = "Mathematical programming; Elementary particles;
Computational methods; Matrix algebra; Atomic physics;
Molecular physics; C (programming language); Codes
(symbols); High level languages; Maple (programming
language); Coulomb interaction; Perimetric coordinates;
Body fixed Schr{\"o}dinger equation; Series solution;
Three particle systems; Algebraic programming
language",
}
@Article{Crow:1994:CMK,
author = "John Crow and Herb Holden and Marvin Margolis",
title = "Computers and Mathematics: {Keith Devlin}",
journal = j-NAMS,
volume = "41",
number = "3",
pages = "195--201",
month = mar,
year = "1994",
CODEN = "AMNOAN",
ISSN = "0002-9920",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Three software reviews make up this month's column.
John Crow concentrates on Maple in the first of a
two-installment comparison of Maple and Macsyma
computer algebra systems. Next, Herb Holden reports on
X(PLORE). Finally, Marvin Margolis takes a look at the
mathematical graphics system MG.",
acknowledgement = ack-nhfb,
}
@Article{Crow:1994:TSR,
author = "John Crow and Mario Vassallo and Gustaf Gripenberg",
title = "Three software reviews comprise this month's column.
{John Crow} presents the second installment of his
two-part comparative review of {Maple} and {Macsyma}.
{Mario Vassallo} reports on his experiences with
Spreadsheets and Mathematics. {Gustaf Gripenberg} takes
a look at {MAX}",
journal = j-NAMS,
volume = "41",
number = "4",
pages = "299--306",
month = apr,
year = "1994",
CODEN = "AMNOAN",
ISSN = "0002-9920",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Curran:1994:UMM,
author = "D. A. S. Curran and W. Middleton",
title = "Using {Maple} in a Mathematical Modelling Course",
crossref = "Esroy:1994:MMC",
pages = "33--58",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{Decker:1994:CM,
author = "R. Decker",
title = "Calculus and {Maple}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1994",
ISBN = "????",
LCCN = "????",
bibdate = "Sat Mar 09 08:45:00 1996",
acknowledgement = ack-nhfb,
}
@Article{Devlin:1994:CMa,
author = "Keith Devlin",
title = "Computers and Mathematics",
journal = j-NAMS,
volume = "41",
number = "3",
pages = "195--??",
month = mar,
year = "1994",
CODEN = "AMNOAN",
ISSN = "0002-9920",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "Three software reviews make up this month's column.
John Crow concentrates on Maple in the first of a
two-installment comparison of Maple and Macsyma
computer algebra systems. Next, Herb Holden reports on
X(PLORE). Finally, Marvin Margolis takes a look at the
mathematical graphics system MG.",
acknowledgement = ack-nhfb,
}
@Article{Devlin:1994:CMb,
author = "Keith Devlin",
title = "Computers and Mathematics",
journal = j-NAMS,
volume = "41",
number = "6",
pages = "611--??",
month = jul,
year = "1994",
CODEN = "AMNOAN",
ISSN = "0002-9920",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
abstract = "This month's column begins with an article by George
Gratzer describing a new version of LATEX. Then Marvin
Margolis reviews the software Scientific Programmer's
Toolkit, and Gustaf Gripenberg reviews Converge. Next
Susan Fischel describes teaching with Computational
Laboratories in Number Theory. Lastly, two of the
developers of Maple software note some corrections to a
previous review.",
acknowledgement = ack-nhfb,
}
@InProceedings{Dorn:1994:SSC,
author = "R. T. Dorn and R. J. Soukup",
title = "Solution of the Solar Cell Transport Equations Using
{Maple}",
crossref = "Lopez:1994:MVM",
pages = "90--96",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Edwards:1994:CUM,
author = "C. H. {Edwards, Jr.} and David E. Penney",
title = "Calculus Using {Maple}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1994",
ISBN = "0-13-458282-9",
bibdate = "Wed Aug 30 09:22:43 1995",
acknowledgement = ack-nhfb,
}
@Book{Ellis:1994:MVM,
author = "W. Ellis and E. Johnson and E. Lodi and D. Schwalbe",
title = "{Maple {V} in der mathematischen Anwendung (f{\"u}r
Release 2 und 3)}",
publisher = pub-ITCP,
address = pub-ITCP:adr,
pages = "????",
year = "1994",
ISBN = "3-929821-21-4",
bibdate = "Sat Dec 16 16:52:06 1995",
acknowledgement = ack-nhfb,
}
@InProceedings{Farr:1994:MLP,
author = "W. W. Farr and M. VanGeel",
title = "{Maple} Labs and Programs for Calculus",
crossref = "Lopez:1994:MVM",
pages = "159--166",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Fitz-Gerald:1994:EMC,
author = "G. F. Fitz-Gerald and W. P. Healy",
title = "Enlivening the Mathematics Curriculum with {Maple}",
crossref = "Lopez:1994:MVM",
pages = "71--80",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Fowkes:1994:IMM,
author = "Neville D. Fowkes and John J. Mahony",
title = "An Introduction to Mathematical Modelling",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xvi + 447",
year = "1994",
ISBN = "0-471-93422-4 (hardcover), 0-471-94309-6 (softcover)",
LCCN = "QA401 .F68 1994",
MRclass = "00A71 (00A69 00A79 70-01 73-01 93A30)",
MRnumber = "95g:00014",
bibdate = "Thu Dec 28 10:32:41 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "John Adam",
}
@InProceedings{Frempong-Mireku:1994:KWV,
author = "P. Frempong-Mireku and K. J. K. Moriarty",
title = "{Kramers} and {Wannier} {V-Matrices} for the Partition
Functions of the {Ising} Model",
crossref = "Lopez:1994:MVM",
pages = "97--104",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Fulton:1994:CMH,
author = "S. R. Fulton",
title = "Can {Maple} Help in Teaching Calculus with Limited
Time and Staff?",
crossref = "Lopez:1994:MVM",
pages = "63--70",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Geck:1994:CVI,
author = "Meinolf Geck",
title = "On the character values of {Iwahori-Hecke} algebras of
exceptional type",
journal = j-PROC-ROY-SOC-LONDON-SER-A,
volume = "68",
number = "1",
pages = "51--76",
year = "1994",
MRclass = "20F55 (20C15)",
MRnumber = "94i:20073",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Fran{\c{c}}ois Digne",
}
@Book{Gerald:1994:ANA,
author = "Curtis F. Gerald and Patrick O. Wheatley",
title = "Applied numerical analysis",
publisher = pub-AW,
address = pub-AW:adr,
edition = "Fifth",
pages = "various",
year = "1994",
ISBN = "0-201-56553-6",
LCCN = "QA 297 G47 1994",
bibdate = "Sat Mar 9 08:21:34 MST 1996",
acknowledgement = ack-nhfb,
keywords = "numerical analysis",
}
@Article{Govindarajulu:1994:AEA,
author = "Z. Govindarajulu and H. C. Howard",
title = "Asymptotic expansions applied to ${F}$-test criteria",
journal = j-AUSTRALIAN-J-STAT,
volume = "36",
number = "1",
pages = "101--113",
year = "1994",
CODEN = "AUJSA3",
ISSN = "0004-9581",
MRclass = "62L10",
MRnumber = "95i:62069",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Gray:1994:MPE,
author = "Simon Gray and Norbert Kajler and Paul Wang",
title = "{MP}: a protocol for efficient exchange of
mathematical expressions",
crossref = "ACM:1994:IPI",
pages = "330--335",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p330-gray/",
abstract = "The Multi Protocol (MP) is designed for integrating
symbolic, numeric, graphics, document processing, and
other tools for scientific computation, into a single
distributed problem-solving environment. MP is layered,
reflecting the logically distinct aspects of tool
integration. Data representation issues are addressed
by specifying a set of basic data types and a mechanism
for constructing non-basic types. MP passes all data in
the form of annotated parse trees. The parse tree
provides a simple, flexible and tool-independent way to
represent and exchange data, and annotations provide a
powerful and generic expressive facility for
transmitting additional information. MP also provides
efficient encodings for numeric data and includes
different types of optimizations to reduce the cost of
exchanging data. The optimizations are important when
transmitting large expressions typically encountered in
symbolic and numeric computation. MP is extensible.
Users can define additional sets of operators and
annotations as well as tailor the generic optimization
mechanisms to efficiently encode their own data
structures. A clear distinction between MP-defined and
user-defined definitions is enforced.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Comput. Sci., Kent State Univ., OH,
USA",
classification = "C1180 (Optimisation techniques); C4210L (Formal
languages and computational linguistics); C5640
(Protocols); C6115 (Programming support); C6120 (File
organisation); C6130B (Graphics techniques); C6130D
(Document processing techniques); C6150N (Distributed
systems software); C6170K (Knowledge engineering
techniques); C7310 (Mathematics computing)",
keywords = "algorithms; Annotated parse trees; Annotations; Basic
data types; Data exchange cost reduction; Data
representation issues; design; Distributed
problem-solving environment; Document processing;
Efficient encodings; Efficient mathematical expression
exchange; Generic optimization mechanisms; Graphics;
languages; Large expression transmission; Layered; MP
protocol; Multi Protocol; Nonbasic types; Numeric
processing; Operators; performance; Scientific
computation; Symbolic processing; Tool integration",
subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Languages and Systems,
Special-purpose algebraic systems. {\bf I.1.3}
Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, Languages and Systems, Maple. {\bf D.3.2}
Software, PROGRAMMING LANGUAGES, Language
Classifications, C. {\bf D.2.2} Software, SOFTWARE
ENGINEERING, Design Tools and Techniques.",
thesaurus = "Computer graphics; Distributed processing; Document
handling; Grammars; Mathematics computing; Natural
sciences computing; Optimisation; Problem solving;
Protocols; Software tools; Symbol manipulation; Tree
data structures",
}
@InProceedings{Grotendorst:1994:SCP,
author = "J. Grotendorst and J. Dornseiffer and S. M.
Schoberth",
title = "Symbolic-Numeric Computations for Problem-Solving in
Physical Chemistry and Biochemistry",
crossref = "Lopez:1994:MVM",
pages = "131--140",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@TechReport{Grotendorst:1994:SCT,
author = "Johannes Grotendorst and Juergen Dornseiffer and
Siegfried M. Schoberth",
title = "Symbolic-numeric computation techniques for
problem-solving in Physical Chemistry and
Biochemistry",
number = "KFA-ZAM-IB-9414",
institution = "KFA Research Centre, J{\"{u}}lich",
address = "J{\"{u}}lich, Germany",
pages = "9",
year = "1994",
bibsource = "Techreports/kfa-research-centre-juelich.bib",
URL = "ftp://ftp.zam.kfa-juelich.de/pub/zamdoc/ib/ib-94/ib-9414.ps",
abstract = "The combination of symbolic and numeric computation
techniques leads to new approaches for problem-solving
in areas of applied mathematics and science. It is
shown, in examples from Physical Chemistry and
Biochemistry, how the use of a modern computer algebra
system such as Maple enables an automatic and
computerized solution of problems in ways that are not
possible with conventional computing systems. In our
first example we study the thermodynamic behavior of
steam reforming reactions and determine the temperature
and pressure dependence of the chemical compositions at
equilibrium. Using Maple's symbolic computation
capabilities a system of nonlinear equations for the
reaction extents is derived. For the fast numerical
solution of the nonlinear equations the Newton-Raphson
algorithm is applied. A FORTRAN preprocessor in Maple
calculates the Jacobian matrix needed for this
algorithm and generates a complete and ready-to-compile
FORTRAN program. In the second example we demonstrate
how the McConnell equations in Biochemistry, a linear
inhomogeneous system of differential equations with
constant coefficients, can be solved analytically in a
direct way by using Maple's symbolic linear algebra
routines. In addition, the automatic generation of
numerical code for the determination of the formal
parameters involved in the solutions is described.",
}
@Article{Gruntz:1994:IG,
author = "D. Gruntz and M. Monagan",
title = "Introduction to {Gauss}",
journal = j-SIGSAM,
volume = "28",
number = "2",
pages = "3--19",
month = aug,
year = "1994",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Tue Dec 12 09:33:35 MST 1995",
abstract = "The Gauss package offers Maple users a new approach to
programming based on the idea of parameterized types
(domains) which is central to the AXIOM system. This
approach to programming is now regarded by many as the
right way to go in computer algebra systems design. We
describe how Gauss is designed and show examples of
usage. We end with some comments about how Gauss is
being used in Maple.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Sci. Comput., Eidgenossische Tech.
Hochschule, Zurich, Switzerland",
classification = "C6110 (Systems analysis and programming); C6130
(Data handling techniques); C7310 (Mathematics
computing)",
keywords = "AXIOM system; Computer algebra systems design; Gauss
package; Maple users; Parameterized types;
Programming",
pubcountry = "USA",
thesaurus = "Programming environments; Software packages; Symbol
manipulation; Systems analysis; Type theory",
}
@InProceedings{Hardy:1994:MLC,
author = "D. W. Hardy",
title = "{Maple} Labs and Calculus at {Colorado State}",
crossref = "Lum:1994:PFA",
pages = "773--776",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Harms:1994:NRM,
author = "D. D. Harms and J. S. Devitt and C. J. Colbourn",
title = "Networks and Reliability in {Maple}",
crossref = "Dean:1994:CSD",
pages = "223--244",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Helton:1994:CSE,
author = "J. W. Helton and M. Stankus and J. Wavrik",
editor = "{IEEE}",
booktitle = "Proceedings of the 33rd IEEE Conference on Decision
and Control, 14--16 December 1994",
title = "Computer simplification of engineering systems
formulas",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1893--1898",
year = "1994",
ISBN = "0-7803-1968-0",
LCCN = "TJ217 .I11c 1994",
bibdate = "Thu Jul 26 05:40:49 2001",
bibsource = "IEEE Xplore database",
note = "IEEE catalog number 94CH3460-3.",
acknowledgement = ack-nhfb,
bookpages = "4252 (4 volumes)",
keywords = "Mathematica; Maple; MACSYMA",
}
@Article{Hench:1994:SMA,
author = "D. L. Hench",
title = "Software for mathematical analysis",
journal = j-WESCON-CONF-REC,
pages = "258--263",
year = "1994",
CODEN = "WCREDI",
ISSN = "1044-6036",
bibdate = "Fri May 24 09:57:04 MDT 1996",
bibsource = "Compendex database",
abstract = "An important type of software package that belongs in
the engineering workplace is a mathematical analysis
package. Popular packages include MATLAB, Mathematica,
Mathcad and Maple V. The various packages are compared
and contrasted here with regard to the insight that
they can provide for a topic of current interest. The
selected topic is cosine-transform data-compression as
specified in the MPEG standard for video data
compression. This problem is first introduced and the
outputs of the various packages are shown with an
emphasis on the insight to the problem that can be
gained by using an approach that is natural to the
software package under consideration.",
acknowledgement = ack-nhfb,
affiliation = "Imaging Systems Application Co",
affiliationaddress = "Orange, CA, USA",
classification = "723; 723.1; 723.2; 723.5; 741.2; 921.6",
conference = "Proceedings of the 1994 Wescon Conference",
journalabr = "Wescon Conf Rec",
keywords = "Calculations; Computer aided software engineering;
Computer graphics; Computer software; Computer vision;
Data processing; Discrete cosine transform; Image
compression; Linear algebra; Maple V; Mathcad;
Mathematica; Mathematical analysis; Motion picture
expert group standard; Number theory; Numerical
analysis; Optimization; Software packages; Statistics;
Subroutines; Video data compression",
meetingaddress = "Anaheim, CA, USA",
meetingdate = "Sep 27--29 1994",
meetingdate2 = "09/27--29/94",
sponsor = "IEEE; ERA",
}
@Book{Hostetler:1994:IC,
author = "D. Hostetler and E. Larson",
title = "Interactive Calculus",
publisher = pub-HEATH,
address = pub-HEATH:adr,
pages = "????",
year = "1994",
ISBN = "????",
LCCN = "????",
bibdate = "Sat Mar 09 08:51:26 1996",
acknowledgement = ack-nhfb,
}
@Article{Ikle:1994:EDS,
author = "M. Ikl{\'e}",
title = "Exact $(1+1)$-dimensional solutions to a discrete
velocity model for coagulation-fragmentation",
journal = j-MATH-MODELS-METHODS-APPL-SCI,
volume = "4",
number = "6",
pages = "857--869",
year = "1994",
CODEN = "MMMSEU",
ISSN = "0218-2025",
MRclass = "82C40 (76P05)",
MRnumber = "95k:82028",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Giuseppe Toscani",
}
@Article{Ioakimidis:1994:AGB,
author = "N. I. Ioakimidis and E. G. Anastasselou",
title = "Application of {Gr{\"o}bner} bases to problems of
movement of a particle",
journal = j-COMP-MATH-APPL,
volume = "27",
number = "3",
pages = "51--57",
year = "1994",
CODEN = "CMAPDK",
ISSN = "0097-4943",
MRclass = "70-04 (70B99 70D99 70F05)",
MRnumber = "94i:70003",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Ioakimidis:1994:DEC,
author = "Nikolaos I. Ioakimidis and Eleni G. Anastasselou",
title = "Derivation of the equation of caustics in {Cartesian}
coordinates with {Maple}",
journal = j-ENG-FRACTURE-MECH,
volume = "48",
number = "1",
pages = "147--149 (or 147--150??)",
month = may,
year = "1994",
CODEN = "EFMEAH",
ISSN = "0013-7944",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The well-known equation of caustics about crack tips
in experimental fracture mechanics is usually expressed
in the form of two equations for the Cartesian
coordinates (x,y) with a parameter (an appropriate
polar angle playing the role of this parameter). Here
we derive the equivalent unique equation (but without a
parameter) also in Cartesian coordinates with the help
of the computer algebra system Maple V by using the
available Gr{\"o}bner-bases algorithm. The obtained
Cartesian equation is of the sixth degree and it can be
solved in closed form with respect to y yielding an
explicit result y $=$ y(x). The same equation is also
checked in two special cases, where it gives the same
results as the equivalent pair of parametric equations.
Analogous, more general results can also be derived.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classification = "421; 722.4; 723.1; 921.1; 921.6; 931.1",
conferenceyear = "1994",
journalabr = "Eng Fract Mech",
keywords = "Fracture mechanics; Cracks; Computer systems; Algebra;
Algorithms; Elasticity; Computer software; Equation of
caustics; Cartesian coordinates; Equivalent unique
equation; Gr{\"o}bner bases algorithm; Cartesian
equation; Parametric equation; Software package ---
Gr{\"o}bner; Maple V computer system",
}
@Article{Ioakimidis:1994:GBT,
author = "N. I. Ioakimidis and E. G. Anastasselou",
title = "{Gr{\"o}bner} bases in truss problems with {Maple}",
journal = j-COMP-STRUCTURES,
volume = "52",
number = "5",
pages = "1093--1096",
month = sep,
year = "1994",
CODEN = "CMSTCJ",
ISSN = "0045-7949",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The well-known method of Gr{\"o}bner bases in computer
algebra can be used in elementary truss problems, where
the appearance of sine and cosine terms because of the
angles of the bars of the truss to the Ox-axis (beyond
the magnitudes of the forces in these bars) make the
problem nonlinear. A simple truss is used for an
illustration of the method during the determination of
two angles in such a way that the forces in two bars
have values given in advance. Similarly, it is
observed, again by using Gr{\"o}bner bases, that the
force equations at each joint of a loaded truss and the
equation for the reactions of the truss are compatible.
The whole approach seems to be one more application of
Gr{\"o}bner bases related to their applications in
nonlinear computational geometry. The computer algebra
system Maple V has been used in the present application
of Gr{\"o}bner bases.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classification = "408.1; 408.2; 721.1; 723.5; 921.1; 921.6",
journalabr = "Comput Struct",
keywords = "Structural analysis; Trusses; Algorithms; Nonlinear
equations; Vectors; Boolean algebra; Computer aided
analysis; Gr{\"o}bner bases; Software package Maple V",
}
@Article{Ioakimidis:1994:SCS,
author = "N. I. Ioakimidis",
title = "Symbolic computations for the solution of
inverse\slash design problems with {Maple}",
journal = j-COMP-STRUCTURES,
volume = "53",
number = "1",
pages = "63--68",
month = oct,
year = "1994",
CODEN = "CMSTCJ",
ISSN = "0045-7949",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "Symbolic computations during the solution of applied
mechanics problems permit the derivation of results of
general validity with respect to the parameter(s) used.
Here this approach is generalized to the cases when,
beyond possible linear equations, nonlinear polynomial
equations appear also in the exact\slash approximate
methods used. The cases of three elementary
inverse\slash design torsion problems in classical
isotropic elasticity, where the dimensions of the
cross-section of the bar should be determined if the
torque and the maximum shear stress are known in
advance, are used for the illustration of the method,
which leads to a polynomial equation with respect to
the fundamental unknown variable. The computer algebra
system Maple V and the Gr{\"o}bner bases method are
used for the derivation of the present results.
Finally, several serious factors influencing the
computations in the present method, which generally
requires a large amount of symbolic computations, are
considered in some detail.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classification = "408.1; 421; 723.5; 921.1; 921.6; 931.1",
journalabr = "Comput Struct",
keywords = "Structural analysis; Computational methods; Mechanics;
Torsional stress; Shear stress; Elasticity; Inverse
problems; Polynomials; Algorithms; Computer aided
analysis; Stress analysis; Parameter estimation;
Mathematical models; Symbolic computations; Software
package Maple V; Elementary inverse/design torsion
problems; Gr{\"o}bner bases method; Computer algebra;
Gaussian elimination",
}
@Article{Jerosolimski:1994:NMF,
author = "M. Jerosolimski and L. Levacher",
title = "New method for fast calculation of {Jacobian}
matrices: Automatic differentiation for power system
simulation",
journal = j-IEEE-TRANS-POWER-SYSTEMS,
volume = "9",
number = "2",
pages = "700--706",
month = may,
year = "1994",
CODEN = "ITPSEG",
ISSN = "0885-8950",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "Many numerical methods used in power system simulation
require the computation of Jacobian matrices. This
being particularly true for implicit integration
algorithms, and not for explicit ones. These
computations often take a significant proportion of the
overall CPU time. This paper presents an application of
the automatic differentiation method which results in
large savings in the computation of Jacobian matrices.
An original application of this method is in a software
which simulates power systems dynamics. As the program
enables the users to introduce their own models,
automatic differentiation becomes particularly
efficient. In comparison with numerical
differentiation, it leads to a saving of 80\% of the
time required for the computation of the Jacobian
matrices and up to 28\% of the total CPU time.
Automatic differentiation is a very efficient method
which should be valuable to other power system
software, in particular those which offer users the
possibility of defining their own models.",
acknowledgement = ack-nhfb,
affiliation = "Electricit{\'e} de France",
affiliationaddress = "Clamart, Fr",
classification = "703.1.1; 706.1; 723.5; 921.1; 921.2; 921.6",
conferenceyear = "1994",
journalabr = "IEEE Trans Power Syst",
keywords = "Algorithms; Computational methods; Computer aided
network analysis; Computer simulation; Computer
software; Differentiation (calculus); Electric power
systems; Function evaluation; Integration; Jacobian
matrices; Mathematical models; Matrix algebra;
Numerical derivative; Power system simulation; Software
package Macsyma; Software package Maple; Software
package Reduce; User defined models; User interfaces",
publisherinfo = "IEEE Service Center",
}
@Book{Kaiser:1994:FGW,
author = "Gerald Kaiser",
title = "A Friendly Guide to Wavelets",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiv + 300",
year = "1994",
ISBN = "0-8176-3711-7",
LCCN = "QA403.3.K35 1994",
bibdate = "Thu Dec 28 11:54:46 1995",
price = "US\$39.50",
URL = "http://www.birkhauser.com/Books/kaiser/summary.htm",
acknowledgement = ack-nhfb,
}
@InProceedings{Kneppers:1994:IML,
author = "H. A. W. M. Kneppers",
title = "The Influence of {Maple} on a Linear Algebra Course at
the {Delft University of Technology}",
crossref = "Lopez:1994:MVM",
pages = "57--62",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Koekoek:1994:DES,
author = "Roelof Koekoek",
title = "Differential equations for symmetric generalized
ultraspherical polynomials",
journal = j-TRANS-AMS,
volume = "345",
number = "1",
pages = "47--72",
year = "1994",
MRclass = "33C45 (34B24 34L10)",
MRnumber = "95b:33021",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Lance L. Littlejohn",
}
@Book{Kofler:1994:MVRa,
author = "M. Kofler",
title = "{Maple V} Release 2",
publisher = pub-AW,
address = pub-AW:adr,
pages = "????",
year = "1994",
ISBN = "3-89319-635-8",
bibdate = "Wed Aug 30 09:33:58 1995",
acknowledgement = ack-nhfb,
}
@Book{Kofler:1994:MVRb,
author = "M. Kofler",
title = "{Maple V} Release 3",
publisher = pub-AW,
address = pub-AW:adr,
pages = "????",
year = "1994",
ISBN = "3-89319-765-6",
bibdate = "Wed Aug 30 09:33:58 1995",
note = "Contains a CD-ROM with examples and a Maple demo
disk.",
acknowledgement = ack-nhfb,
}
@InProceedings{Kohl:1994:GRH,
author = "T. Kohl",
title = "Group Rings and {Hopf-Galois} Theory in {Maple}",
crossref = "Lopez:1994:MVM",
pages = "116--121",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Kouchakpour:1994:SCR,
author = "Peyman Kouchakpour and Albert Y. Zomaya",
title = "Symbolic computation of robot dynamic parameters",
journal = j-CYBERNETICS-SYSTEMS,
volume = "25",
number = "5",
pages = "697--727",
month = sep # "--" # oct,
year = "1994",
CODEN = "CYSYDH",
ISSN = "0196-9722",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "Optimal performance of robot manipulators can be
achieved only by utilizing advanced control algorithms.
However, precise control of robot motion requires the
use of accurate dynamic models, which are very
complicated due to varying arm geometric configuration,
uncertain effects of load handling on the dynamic
stability of the arm, and the high degree of
nonlinearity and coupling exhibited between different
links. Therefore, an efficient and fast method for
on-line tuning of robot dynamic parameters must be
devised. In this work a simplified model based on
Lagrange-Euler dynamics is developed. The proposed
method is simple and systematic for the extraction and
identification of robot dynamic parameters. The dynamic
parameters are then formulated as a regression model.
This model is used to generate the closed-form solution
of the dynamics. The analysis in this work is based on
a set of compiled data for the Stanford arm to
facilitate the study of the dynamic performance and
closed-loop solutions of robot manipulators. For the
derivation of the dynamics MAPLE (symbolic computer
algebra language) is used.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Western Australia",
affiliationaddress = "Western Australia, Aust",
classification = "723.1; 731.1; 731.3; 731.5; 921.5; 921.6",
journalabr = "Cybern Syst",
keywords = "Algebra; Algorithms; Closed form solution; Computer
programming languages; Control systems; Lagrange Euler
dynamics; Manipulators; Mathematical models; Motion
control; On line tuning; Optimization; Parameter
estimation; Regression analysis; Robot dynamic
parameters; Robot manipulators; Robotics; Software
package Maple; Symbolic computer algebra language",
}
@Book{Kreyszig:1994:MCM,
author = "E. Kreyszig and E. J. Normington",
title = "{Maple} Computer Manual for {Seventh Edition
``Advanced Engineering Mathematics'': Erwin Kreyszig}",
publisher = pub-JW,
address = pub-JW:adr,
pages = "xii + 506",
year = "1994",
ISBN = "0-471-31126-X",
LCCN = "QA401 .K73 1994",
bibdate = "Thu Jul 07 07:55:36 1994",
note = "There is a companion {\em Instructor's {Maple}
Manual}, but I have not yet found an exact citation for
it.",
acknowledgement = ack-nhfb,
}
@Article{Lai:1994:CAF,
author = "S.-T Lai",
title = "Computation of Algebraic Formulas for {Wigner} 3-j,
6-j, and 9-j Symbols by {Maple}",
journal = j-IJQC,
volume = "52",
number = "3",
pages = "593--??",
year = "1994",
CODEN = "IJQCB2",
ISSN = "0020-7608",
bibdate = "Wed Jan 3 14:24:13 MST 1996",
acknowledgement = ack-nhfb,
}
@Article{LeBlanc:1994:SBL,
author = "Victor G. LeBlanc and Ali Lari-Lavassani and William
F. Langford",
title = "Symmetry-breaking for leading order gradient maps in
${\bf R}^2$ with applications to ${\rm O}(3)$",
journal = j-NONLINEARITY,
volume = "7",
number = "2",
pages = "577--594",
year = "1994",
CODEN = "NONLE5",
ISSN = "0951-7715",
MRclass = "58E09 (58F14)",
MRnumber = "95h:58033",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Lesser:1994:NMC,
author = "Martin Lesser",
title = "Nonlinear modeling of complex mechanical systems",
journal = j-INT-J-BIFURC-CHAOS-APPL-SCI-ENG,
volume = "4",
number = "3",
pages = "521--551",
year = "1994",
CODEN = "IJBEE4",
ISSN = "0218-1274",
MRclass = "70E15 (70-04 70B10 70F25)",
MRnumber = "95h:70013",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "David A. Levinson",
}
@InProceedings{Li:1994:IMP,
author = "P. Li and R. L. Peskin",
title = "Implementation of a Mapping Procedure for the Domain
Decomposition for {PDEs} in {Maple}",
crossref = "Lopez:1994:MVM",
pages = "46--54",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Lieh:1994:SEM,
author = "Junghsen Lieh",
title = "Separated-form equations of motion of controlled
flexible multibody systems",
journal = j-J-DYN-SYST-MEAS-CONTROL,
volume = "116",
number = "4",
pages = "702--712",
month = dec,
year = "1994",
CODEN = "JDSMAA",
ISSN = "0022-0434",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "This paper introduces a method leading to
separated-form formulation of dynamic equations of
multibody systems subject to control. The algorithm is
derived from the virtual work principle and includes
the moving base effects. The elastic members are
treated as Euler-Bernoulli beams. Equations of motion
are expanded using generalized coordinate partitioning
and a Jacobian matrix expansion. The formulation of
each physical term is separated, i.e., the inertia
matrix, nonlinear coupling vector, generalized force
vector and base motion-induced terms are established
individually. The formulation is implemented on a
workstation using MAPLE. Nonlinear and linearized
equations with control are generated in FORTRAN format.
The control design adopts second-order models directly.
Several examples including a spin-up cantilever beam,
an elastic vehicle with active suspensions and an
elastic slider-crank mechanism are given. Numerical
results for nonlinear and linear spin-up beam models
are provided. Simulation for the active vehicle model
using second-order control theory is presented.",
acknowledgement = ack-nhfb,
affiliation = "Wright State Univ",
affiliationaddress = "Dayton, OH, USA",
classification = "408.2; 723.1.1; 723.5; 921.1; 921.2; 921.6",
journalabr = "J Dyn Syst Meas Control Trans ASME",
keywords = "Algorithms; Computer simulation; Control theory;
Controlled flexible multibody systems; Equations of
motion; Euler Bernoulli beams; Flexible structures;
fortran (programming language); Generalized coordinate
partitioning; Jacobian matrix expansion; Linearization;
Matrix algebra; Motion control; Nonlinear equations;
Separated form equations; Software package Maple;
Vectors; Virtual work principle",
}
@Article{Lopez:1994:LER,
author = "Robert J. Lopez and Lyle P. Wiedeman",
title = "{Laplace}'s equation on a rectangle: a {Maple-AVS}
connection",
journal = j-IFIP-TRANS-A,
volume = "A-48",
number = "????",
pages = "155--165",
year = "1994",
CODEN = "ITATEC",
ISSN = "0926-5473",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The solution to Laplace's equation on a rectangle can
be obtained as an infinite series by separation of
variables for Dirichlet and homogeneous Neumann
boundary conditions. One such problem, solved with the
help of the computer algebra system Maple, leads to the
discovery of non-intuitive behavior. The superior
graphics capability of AVS is then used to explore this
behavior further.",
acknowledgement = ack-nhfb,
affiliation = "Rose-Hulman Inst of Technology",
affiliationaddress = "Terre Haute, IN, USA",
classification = "641.2; 723.5; 901.2; 921.1; 921.3; 921.6",
conference = "Proceedings of the IFIP WG3.2 Working Conference on
Visualization in Scientific Computing: Uses in
University Education",
journalabr = "IFIP Trans A Comput Sci Technol",
keywords = "Algebra; Boundary value problems; Computer aided
instruction; Computer graphics; Dirichlet boundary
conditions; Education computing; Heat conduction;
Laplace transforms; Neumann boundary conditions",
meetingaddress = "Irvine, CA, USA",
meetingdate = "Jul 28--30 1993",
meetingdate2 = "07/28--30/93",
}
@Book{Lopez:1994:MCT,
author = "Robert J. Lopez",
title = "{Maple} via Calculus: {A} Tutorial Approach",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "166",
year = "1994",
ISBN = "0-8176-3771-0",
LCCN = "QA303.5.D37 L66 1994",
bibdate = "Thu Dec 28 12:05:16 1995",
URL = "http://www.birkhauser.com/Books/lopez/summary.htm",
acknowledgement = ack-nhfb,
}
@InProceedings{Lozano:1994:TGM,
author = "E. R. Lozano and E. R. Macias",
title = "``{Turtle} Graphics'' in {Maple V.2}",
crossref = "Lopez:1994:MVM",
pages = "3--12",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Mahmood:1994:AAS,
author = "M. F. Mahmood and T. L. Gill",
title = "Analytical Approaches to Solving Coupled Nonlinear
{Schr{\"o}dinger} Equations Using {Maple V}",
crossref = "Lopez:1994:MVM",
pages = "83--89",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Mathews:1994:PIU,
author = "David M. Mathews and Keith Schwingendorf",
title = "Precalculus Investigations using {Maple V}",
publisher = pub-HARPERCOLLINS,
address = pub-HARPERCOLLINS:adr,
pages = "????",
year = "1994",
ISBN = "0-673-99410-4",
LCCN = "QA331 .M4317 1994",
bibdate = "Sun Jul 10 20:44:42 1994",
acknowledgement = ack-nhfb,
}
@Article{McLean:1994:NES,
author = "W. McLean",
title = "Numerical evaluation of some trigonometric series",
journal = j-MATH-COMPUT,
volume = "63",
number = "207",
pages = "271--275",
year = "1994",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65T10 (42A32 65B10)",
MRnumber = "94i:65136",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "A. D. Booth",
}
@InProceedings{McLenaghan:1994:MAG,
author = "R. G. McLenaghan",
title = "{MAPLE} applications to general relativity",
crossref = "MacCallum:1994:ACG",
pages = "265--266",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Molinder:1994:SPU,
author = "J. I. Molinder",
title = "Signal Processing Using {Maple V}",
crossref = "Lopez:1994:MVM",
pages = "39--45",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Monagan:1994:WCW,
author = "M. Monagan",
title = "Worksheets: Can We Teach Mathematical Algorithms with
Them?",
crossref = "Lopez:1994:MVM",
pages = "187--196",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Morel:1994:VMI,
author = "Jean-Michel Morel and Sergio Solimini",
title = "Variational Methods in Image Segmentation: with Seven
Image Processing Experiments",
volume = "14",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xvi + 245",
year = "1994",
ISBN = "0-8176-3720-6, 3-7643-3720-6",
LCCN = "TA1637.M67 1995",
bibdate = "Thu Dec 28 12:05:45 1995",
price = "US\$59.50",
series = "Progress in Nonlinear Differential Equations and Their
Applications",
URL = "http://www.birkhauser.com/Books/morel/summary.htm",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Murray:1994:CAT,
author = "D. Murray",
title = "Computer Algebra as a Tool for Analyzing Nonlinear
Systems",
crossref = "Lopez:1994:MVM",
pages = "199--208",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Nguyen:1994:SCM,
author = "T. Nguyen",
title = "Symbolic Computation with {Maple} in Economic
Modeling",
publisher = "????",
address = "????",
pages = "????",
year = "1994",
ISBN = "????",
LCCN = "????",
bibdate = "Sat Mar 09 08:59:14 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Pavelcak:1994:ALA,
author = "J. A. Pavelcak",
title = "Another Look at Learning the Techniques of Elementary
Integration",
crossref = "Lopez:1994:MVM",
pages = "179--186",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Petitjean:1994:ACS,
author = "Sylvain Petitjean",
title = "Automating the construction of stationary
multiple-point classes",
crossref = "ACM:1994:IPI",
pages = "9--14",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p9-petitjean/",
abstract = "In this paper, we describe an algorithm to compute
arbitrary stationary multiple-point formulas. We report
its full implementation in Maple and show some examples
matching formulas found by hand computation. We also
present an application to the enumeration of lines
having specified contact with a projective surface.",
acknowledgement = ack-nhfb,
affiliation = "CRIN, CNRS, Vandoeuvre-les-Nancy, France",
classification = "C4260 (Computational geometry); C7310 (Mathematics
computing)",
keywords = "algorithms; Enumeration of lines; languages; Maple;
Multiple-point classes; Multiple-point formulas;
Projective surface; Stationary multiple-point formulas;
theory",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf F.2.2} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Geometrical problems and
computations. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple.",
thesaurus = "Computational geometry; Symbol manipulation",
}
@InProceedings{Pinchback:1994:DSA,
author = "R. M. Pinchback",
title = "Denotational Semantics Applied to the Typesetting of
{Maple} Expressions",
crossref = "Lopez:1994:MVM",
pages = "22--27",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Putz:1994:UMV,
author = "J. Putz",
title = "Using {Maple V} in Calculus: Getting Started
Affordably at a {Liberal Arts College}",
crossref = "Lum:1994:PFA",
pages = "803--811",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Ravenscroft:1994:RGF,
author = "R. A. Ravenscroft",
title = "Rational Generating Function Applications in {Maple}",
crossref = "Lopez:1994:MVM",
pages = "122--128",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Book{Redfern:1994:MH,
author = "Darren Redfern",
title = "The {Maple} Handbook",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "531",
year = "1994",
ISBN = "0-387-94331-5 (New York), 3-540-94331-5 (Berlin)",
LCCN = "QA76.95 .R43 1994",
bibdate = "Tue Jun 06 18:14:01 1995",
acknowledgement = ack-nhfb,
}
@Book{Riesel:1994:PNC,
author = "Hans Riesel",
title = "Prime Numbers and Computer Methods for Factorization",
volume = "126",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xvi + 464",
year = "1994",
ISBN = "0-8176-3743-5",
LCCN = "QA246.R54 1994",
bibdate = "Thu Dec 28 12:07:46 1995",
price = "US\$69.50",
series = "Progress in Mathematics",
URL = "http://www.birkhauser.com/Books/riesel/summary.htm",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Roach:1994:SNE,
author = "Kelly Roach",
title = "Symbolic-numeric nonlinear equation solving",
crossref = "ACM:1994:IPI",
pages = "278--284",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p278-roach/",
abstract = "A numerical equation solving algorithm employing
differentiation and interval arithmetic is presented
which finds all solutions of $f(z)=0$ on an interval
$I$ when $f$ is holomorphic and has simple zeros. A two
dimensional generalization of this algorithm is
discussed. Finally, aspects of a broader symbolic
numeric algorithm which uses the first algorithm as a
foundation are considered.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
classification = "C4150 (Nonlinear and functional equations); C4160
(Numerical integration and differentiation); C6130
(Data handling techniques); C7310 (Mathematics
computing)",
keywords = "algorithms; Broader symbolic numeric algorithm;
Differentiation; Holomorphic; Interval arithmetic;
languages; Numerical equation solving algorithm; Simple
zeros; Symbolic numeric nonlinear equation solving;
Symbolic-numeric nonlinear equation solving; Two
dimensional generalization",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple.",
thesaurus = "Differentiation; Nonlinear equations; Symbol
manipulation",
}
@InProceedings{Roennow:1994:IMF,
author = "U. Roennow",
title = "Introducing {Maple} to First Year Engineering Students
Via Project Study",
crossref = "Lopez:1994:MVM",
pages = "173--178",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Salvy:1994:GMP,
author = "Bruno Salvy and Paul Zimmermann",
title = "{GFUN}: {A} {Maple} package for the manipulation of
generating and holonomic functions in one variable",
journal = j-TOMS,
volume = "20",
number = "2",
pages = "163--177",
month = jun,
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "We describe the GFUN package which contains functions
for manipulating sequences, linear recurrences, or
differential equations and generating functions of
various types. This article is intended both as an
elementary introduction to the subject and as a
reference manual for the package.",
acknowledgement = ack-nhfb,
affiliation = "INRIA",
affiliationaddress = "Le Chesnay, Fr",
classification = "721.1; 723.1; 723.2; 921.1; 921.2; 921.4",
journalabr = "ACM Trans Math Software",
keywords = "Algorithms; algorithms; Binary sequences; Boolean
algebra; Combinatorial mathematics; Computer algebra;
computer algebra; Data structures; Differential
equations; Function evaluation; Generating functions;
generating functions; Holonomic functions; linear
differential equations; linear recurrences;
Recurrences; Software package GFUN",
subject = "G.2.1 [Discrete Mathematics]:
Combinatorics--generating functions; recurrences and
difference equations; I.1.2 [Algebraic Manipulation]:
Algorithms",
}
@Book{Sethi:1994:HDM,
author = "Suresh P. Sethi and Qing Zhang",
title = "Hierarchical Decision Making in Stochastic
Manufacturing Systems: Systems \& Control: Foundations
\& Applications",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xvi + 419",
year = "1994",
ISBN = "0-8176-3735-4",
LCCN = "TS155.8.S45 1994",
bibdate = "Thu Dec 28 12:19:15 1995",
price = "US\$49.50",
URL = "http://www.birkhauser.com/Books/sethi/summary.htm",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Shaw:1994:SMD,
author = "Stephen J. Shaw",
title = "Surface mode deformations on an oscillating bubble",
crossref = "Blake:1994:BDI",
pages = "355--363",
year = "1994",
MRclass = "76B10 (76M15 76T05)",
MRnumber = "95j:76018",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{Sidki:1994:SCG,
author = "Said Sidki",
title = "Solving certain group equations in ${\rm
PGL}(2,k)$---a computational approach. {XII School of
Algebra, Part II (Portuguese) (Diamantina, 1992)}",
journal = j-MAT-CONTEMP,
volume = "7",
pages = "59--70",
year = "1994",
ISSN = "0103-9059",
MRclass = "20F05 (20C25)",
MRnumber = "95m:20033",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Thomas A. Fournelle",
}
@Article{Silvester:1994:SGF,
author = "Peter P. Silvester and Simon V. Chamlian",
title = "Symbolic generation of finite elements for skin-effect
integral equations",
journal = j-IEEE-TRANS-MAGNETICS,
volume = "30",
number = "5 pt 2",
pages = "3594--3596",
month = sep,
year = "1994",
CODEN = "IEMGAQ",
ISSN = "0018-9464",
bibdate = "Fri May 24 09:57:04 MDT 1996",
bibsource = "Compendex database",
abstract = "Skin effect at high frequencies and electrostatics of
good conductors can be formulated as an integral
equation, whose solution by finite elements requires
evaluation of integrals with Green's function kernels.
The singular element integrals are computed
analytically by a program in the Maple language, after
recasting the integrals by coordinate transformations
that render all singularities one-dimensional. Tables
of singular integrals are given for elements up to
order 4.",
acknowledgement = ack-nhfb,
affiliation = "McGill Univ",
affiliationaddress = "Montreal, Que, Can",
classification = "701.1; 704.2; 723.1; 921.2; 921.3; 921.6",
conference = "Proceedings of the 9th Conference on the Computation
of Electromagnetic Fields (COMPUMAG'93)",
journalabr = "IEEE Trans Magn",
keywords = "Approximation theory; Computer software; Electric
conductors; Electric fields; Finite element method;
Greens function; Integral equations; Integration; Maple
language; Mathematical transformations; Polynomials;
Skin effect; Skin effect integral equations",
meetingaddress = "Miami, FL, USA",
meetingdate = "Oct 31--Nov 4 1993",
meetingdate2 = "10/31--11/04/93",
sponsor = "IEEE; IEE of Japan; IEE of UK; Magnetic Society of
Japan; Applied Computational Electromagnetic Society
(ACES); Florida International University",
}
@InProceedings{Smith:1994:UMC,
author = "T. Smith and C. Stolze and P. Tiffany and K. Weld",
title = "Using {Maple} in the Calculus Sequence",
crossref = "Huston:1994:SCJ",
pages = "220--227",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@Article{Spearman:1994:CSQ,
author = "Blair K. Spearman and Kenneth S. Williams",
title = "Characterization of solvable quintics $x^5+ax+b$",
journal = j-AMER-MATH-MONTHLY,
volume = "101",
number = "10",
pages = "986--992",
year = "1994",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "12E10 (12D10 12F10)",
MRnumber = "95k:12004",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "S. D. Cohen",
}
@Book{Spieth:1994:MVR,
author = "A. Spieth",
title = "{Maple {V} Release 2 Referenzhandbuch}",
publisher = pub-ITCP,
address = pub-ITCP:adr,
pages = "????",
year = "1994",
ISBN = "3-929821-73-7",
bibdate = "Wed Aug 30 09:38:55 1995",
acknowledgement = ack-nhfb,
}
@Book{Steeb:1994:QMU,
author = "Willi-Hans Steeb",
title = "Quantum mechanics using computer algebra: includes
sample programs for {REDUCE}, {MAPLE}, {MATHEMATICA}
and {C++}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "viii + 189",
year = "1994",
ISBN = "981-02-1770-6",
LCCN = "QC174.17.D37 S74 1994",
bibdate = "Wed Feb 15 15:58:54 1995",
acknowledgement = ack-nhfb,
}
@Article{Strand:1994:SPF,
author = "Bo Strand",
title = "Summation by parts for finite difference
approximations for $d/dx$",
journal = j-J-COMP-PHYS,
volume = "110",
number = "1",
pages = "47--67",
year = "1994",
CODEN = "JCTPAH",
ISSN = "0021-9991",
MRclass = "65M06",
MRnumber = "94k:65126",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Stroock:1994:CIT,
author = "Daniel W. Stroock",
title = "Concise Introduction to the Theory of Integration",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
edition = "Second",
pages = "viii + 184",
year = "1994",
ISBN = "0-8176-3759-1",
LCCN = "QA312.S78 1994",
bibdate = "Thu Dec 28 12:21:20 1995",
price = "US\$24.50",
URL = "http://www.birkhauser.com/Books/stroock/summary.htm",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@InProceedings{Taneri:1994:EGT,
author = "U. Taneri and J. Paldus",
title = "Evaluation of Group Theoretical Characteristics Using
the Symbolic Manipulation Language {MAPLE}",
crossref = "Ohrn:1994:PIS",
pages = "139--154",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Taylor-Russell:1994:MAU,
author = "G. Taylor-Russell",
title = "{Maple} at the {University of North London}",
crossref = "Lopez:1994:MVM",
pages = "167--172",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@InProceedings{Taylor:1994:CEM,
author = "R. Taylor and K. Atherley",
title = "Chemical Engineering with {Maple}",
crossref = "Lopez:1994:MVM",
pages = "149--155",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Terrell:1994:BSR,
author = "Maria S. Terrell and Robert E. Terrell",
title = "Behind the scenes of a random dot stereogram",
journal = j-AMER-MATH-MONTHLY,
volume = "101",
number = "8",
pages = "715--724",
year = "1994",
CODEN = "AMMYAE",
ISSN = "0002-9890",
MRclass = "00A69 (00A08)",
MRnumber = "95g:00013",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Igor Rivin",
}
@Article{Thompson:1994:MMC,
author = "W. J. Thompson",
title = "{MATHEMATICA} and {MAPLE}: Has {Champaign} met its
{Waterloo}?",
journal = j-COMP-PHYSICS,
volume = "8",
number = "3",
pages = "269--278",
year = "1994",
CODEN = "CPHYE2",
ISSN = "0894-1866",
bibdate = "Sat Apr 6 16:22:44 1996",
acknowledgement = ack-ble,
}
@InProceedings{Thompson:1994:WSC,
author = "D. Thompson and T. Tries and L. Leff and Z. Malik",
title = "A Working {2-D} Symbolic {CSG} System Written in
{Maple}",
crossref = "Tanik:1994:SSE",
pages = "171--180",
year = "1994",
bibdate = "Thu Apr 11 17:54:41 MDT 1996",
bibsource = "Compendex database",
abstract = "We have written a working 2-D Constructive Solid
Geometry (CSG) systems in MAPLE V. It has successfully
processed CSG figures containing 64 primitives. This
work involved over 2000 lines of MAPLE code. The system
will take objects represented both parametrically (to
allow changes) and numerically (to provide
constraints). Constraints are automatically generated
to ensure that as the user changes parameters, the
object remains conceptually the same. There are many
companies building parametric CAD systems for
mechanical engineers. In these systems, the user can
associate variables with particular dimensions of the
object. Then, different objects from a given ``family
of parts'' could be generated by simply giving new
values to these parameters. For example, we might have
the following figure which represents a plate with a
slot. As A and B vary, the slot width changes and the
location changes. However, if A and B';s changes are
sufficient in magnitude, the object is no longer a slot
with a hole in it. This example comes from a paper on
parametric CSG (Gossard 88). See Figure 1. Our system
would generate inequalities involving these parameters.
As long as these inequalities are satisfied, situations
such as those shown by Figure 1 would be prevented. The
situation is even more important in shape optimization
(Botkin 82). In this paper, the inequality constraints
are referred to as side conditions. He developed a
custom technique to generate these side conditions. Our
system generates them for an arbitrary object defined
by CSG. To our knowledge, this is the first report of
generating these side conditions automatically from a
CSG model. Shape optimization is the combination of a
mathematical programming code with finite element
analysis (Hafka 86). The parameters are varied, with an
objective such as minimizing the total weight of the
object. The finite element analysis ensures, for each
set of parameters, that the object will withstand the
stresses from the applied loads. A mathematical
programming code would also need a subroutine that
would generate the constraints, i.e., to determine
whether the values chosen are permissible, i.e., meet
all physical and other requirements. In shape
optimization, these would include the geometric
constraints (Kirsch 81). Our MAPLE program
automatically generates the constraints for this
purpose. Several articles explored the possibility of
representing dimensions and tolerances using symbolic
connectors called stiffeners. They include (Hillyard,
78), (Lin, 81) and (Gopin, 79). A discussion of these
issues, with particular emphasis on the issue of
tolerancing, can be found in (Requicha, 84). He stated
that, `lists of desirable properties for variational
classes are unknown [and] the algorithmic indications
of various approaches are not understood.' We hope this
software is a contribution towards resolving these
issues.",
acknowledgement = ack-nhfb,
affiliation = "Western Illinois Univ",
affiliationaddress = "Macomb, IL, USA",
classification = "608; 723.1; 921.6",
conference = "Proceedings of the Energy-Sources Technology
Conference",
conferenceyear = "1994",
journalabr = "ASME Pet Div Publ PD",
keywords = "Computer aided design; Mechanical engineering;
Numerical analysis; Software engineering; Software
package Maple",
meetingaddress = "New Orleans, LA, USA",
meetingdate = "Jan 23--26 1994",
meetingdate2 = "01/23--26/94",
sponsor = "ASME",
}
@InProceedings{Todd:1994:SEM,
author = "P. Todd and R. McLeod and M. Harris",
title = "A Symbolic Engineering Mechanics System Built on {OEM}
{Maple}",
crossref = "Lopez:1994:MVM",
pages = "31--38",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{VanEssen:1994:ADN,
author = "H. Van Essen",
title = "Analysis and design of nonlinear control systems with
the symbolic computation system {MAPLE}",
journal = j-JARATAZA,
volume = "35",
number = "2",
pages = "3--??",
year = "1994",
CODEN = "JRNAAD",
ISSN = "0771-1107",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
acknowledgement = ack-nhfb,
}
@Article{vanHoeij:1994:ACI,
author = "Mark {van Hoeij}",
title = "An algorithm for computing an integral basis in an
algebraic function field",
journal = j-J-SYMBOLIC-COMP,
volume = "18",
number = "4",
pages = "353--364 (or 353--363??)",
month = oct,
year = "1994",
CODEN = "JSYCEH",
ISSN = "0747-7171",
bibdate = "Fri Dec 29 12:46:02 MST 1995",
abstract = "Algorithms for computing integral bases of an
algebraic function field are implemented in some
computer algebra systems. They are used e.g. for the
integration of algebraic functions. The method used by
Maple 5.2 and AXIOM is given by B. M. Trager (1984). He
adapted an algorithm of Ford and Zassenhaus (1978),
that computes the ring of integers in an algebraic
number field, to the case of a function field. It turns
out that using algebraic geometry one can write a
faster algorithm. The method we give is based on
Puiseux expansions. One can see this as a variant on
the Coates' algorithm as it is described by Davenport
(1981). Some difficulties in computing with Puiseux
expansions can be avoided using a sharp bound for the
number of terms required which are given. We derive
which denominator is needed in the integral basis.
Using this result `intermediate expression swell' can
be avoided. The Puiseux expansions generally introduce
algebraic extensions.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Nijmegen Univ., Netherlands",
classification = "C6130 (Data handling techniques); C7310 (Mathematics
computing)",
keywords = "Algebraic function field; Algebraic number field;
AXIOM; Computer algebra systems; Integral basis;
Intermediate expression swell; Maple 5.2; Puiseux
expansions",
pubcountry = "UK",
thesaurus = "Mathematics computing; Symbol manipulation",
}
@InProceedings{vanHoeij:1994:CPR,
author = "Mark {van Hoeij}",
title = "Computing parameterizations of rational algebraic
curves",
crossref = "ACM:1994:IPI",
pages = "187--190",
year = "1994",
bibdate = "Thu Mar 12 08:41:19 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/190347/p187-van_hoeij/",
abstract = "In this paper I want to present a new method for
computing parametrizations of algebraic curves.
Basically this method is a direct application of
integral basis computation. Examples show that this
method is faster than older methods.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Nijmegen Univ., Netherlands",
classification = "C4130 (Interpolation and function approximation)",
keywords = "algorithms; Integral basis computation; languages;
Parametrizations; Rational algebraic curves; Rational
functions; theory",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations on polynomials.
{\bf I.1.3} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Languages and Systems, Maple.",
thesaurus = "Curve fitting; Functions; Integral equations",
xxtitle = "Computing parametrizations of rational algebraic
curves",
}
@Article{Vantu:1994:MPC,
author = "M. V{\^a}ntu",
title = "A {Maple} program for computing the symbolic
reliability polynomial in a directed network",
journal = "Bull. Transilv. Univ. Bra\c sov Ser. B (N.S.)",
volume = "1(36)",
pages = "53--57 (1995)",
year = "1994",
ISSN = "1223-964X",
MRclass = "90B25 (68Q40)",
MRnumber = "MR1366715",
bibdate = "Sat Apr 16 17:29:01 2005",
fjournal = "Transilvania University of Bra\c sov. Bulletin. Series
B. New Series",
}
@Article{Wang:1994:DII,
author = "Dong Ming Wang",
title = "Differentiation and Integration of Indefinite
Summations with Respect to Indexed Variables --- Some
Rules and Applications",
journal = j-J-SYMBOLIC-COMP,
volume = "18",
number = "3",
pages = "249--264 (or 249--263??)",
month = sep,
year = "1994",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40",
MRnumber = "95m:68090",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
affiliation = "Res. Inst. for Symbolic Comput., Johannes Kepler
Univ., Linz, Austria",
classcodes = "C7310 (Mathematics computing); C4160 (Numerical
integration and differentiation)",
classification = "C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
corpsource = "Res. Inst. for Symbolic Comput., Johannes Kepler
Univ., Linz, Austria",
keywords = "Artificial neural systems; artificial neural systems;
Computer-aided analysis; computer-aided analysis;
Differentiation; differentiation; Indefinite
summations; indefinite summations; indexed; Indexed
variables; Integration; integration; MACSYMA; MAPLE;
symbol manipulation; Toolkit; toolkit; variables",
thesaurus = "Differentiation; Integration; Symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Yan:1994:SVM,
author = "Song Y. Yan",
title = "A simple verification method for the {Goldbach}
conjecture",
journal = j-INT-J-MATH-EDU-SCI-TECH,
volume = "25",
number = "5",
pages = "681--688",
year = "1994",
CODEN = "IJMEBM",
ISSN = "0020-739X",
MRclass = "11P32 (11-01)",
MRnumber = "95e:11109",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Duncan A. Buell",
}
@InProceedings{Zirwas:1994:MVA,
author = "G. Zirwas",
title = "{Maple V} Analytically Calculating Plane Strain
{$FE$}-Matrices with Rotational Degrees of Freedom",
crossref = "Lopez:1994:MVM",
pages = "141--148",
year = "1994",
bibdate = "Sat May 10 09:41:31 MDT 1997",
acknowledgement = ack-nhfb,
annote = "Also known as MSWS '94",
keywords = "maple; mathematics; MSWS",
}
@Article{Alonso:1995:RFD,
author = "Cesar Alonso and Jaime Gutierrez and Tomas Recio",
title = "A rational function decomposition algorithm by
near-separated polynomials",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "6",
pages = "527--544",
month = jun,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "13P05 (12Y05)",
MRnumber = "96j:13025",
MRreviewer = "Henri Lombardi",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory); C1110
(Algebra); C7310 (Mathematics computing)",
corpsource = "Dept. de Matematicas, Estadistica y Comput., Cantabria
Univ., Santander, Spain",
keywords = "algorithm; algorithm theory; arbitrary coefficient
field; birationality test; ease of implementation;
exponential time; faithful; functions; intermediate
fields; manipulation; MAPLE V; near-separated;
polynomials; rational function decomposition algorithm;
reparameterization; subfields; symbol; transcendental
field extension; unfaithfully parameterized curves",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Anonymous:1995:EPB,
author = "Anonymous",
booktitle = "Investing in the Future (Jun 25--28 1995: Anaheim, CA,
USA)",
title = "Experiments in project based calculus: the {Manhattan
College Maple} project",
journal = j-PROC-ASEE-ANNU-CONF,
volume = "1",
pages = "316--320",
year = "1995",
CODEN = "ACOPDW",
ISSN = "0190-1052",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "Many Engineering Schools are currently rethinking
their curricula. In this connection, Manhattan College
is conducting experimental project based on calculus
using computer algebra system (CAS). The aim of the
project is to deepen understanding of the calculus and
to stay updated on the subject.",
acknowledgement = ack-nhfb,
affiliation = "Manhattan Coll",
classification = "723.5; 901.1.1; 901.2; 921.1; 921.2; 921.6",
conference = "Proceedings of the 1995 Annual ASEE Conference. Part 1
(of 2)",
journalabr = "ASEE Annu Conf Proc",
keywords = "Algebra; Computer aided instruction; Computer algebra
system; Differentiation (calculus); Engineering
education; Manhattan College; Mathematical models;
Mathematical techniques; Project based calculus;
Societies and institutions; Teaching",
meetingaddress = "Anaheim, CA, USA",
meetingdate = "Jun 25--28 1995",
meetingdate2 = "06/25--28/95",
}
@Article{Anonymous:1995:MMS,
author = "Anonymous",
title = "{Maple} in the Mathematical Sciences",
journal = j-SIGSAM,
volume = "29",
number = "3",
pages = "20--??",
month = "????",
year = "1995",
CODEN = "SIGSBZ",
ISSN = "0163-5824",
bibdate = "Sat May 11 11:50:33 MDT 1996",
acknowledgement = ack-nhfb,
}
@Book{Anonymous:1995:PNS,
author = "Anonymous",
title = "The {PWS} Notebook Series Electronic Data Files for
Solving Textbook Problems: Maple Notebook for
Dick\slash Patton---Calculus of a Single Variable
(Requires Maple for {PC} compatibles)",
publisher = pub-PWS,
address = pub-PWS:adr,
pages = "????",
year = "1995",
ISBN = "0-534-93943-0",
bibdate = "Wed Aug 30 09:40:17 1995",
acknowledgement = ack-nhfb,
}
@Article{Arnault:1995:CCN,
author = "Fran{\c{c}}ois Arnault",
title = "Constructing {Carmichael} Numbers Which are Strong
Pseudoprimes to Several Bases",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "2",
pages = "151--162 (or 151--161??)",
month = aug,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "11Y11 (11A51)",
MRnumber = "96k:11153",
MRreviewer = "Andrew Granville",
bibdate = "Sat May 10 15:54:09 MDT 1997",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C1160 (Combinatorial
mathematics)",
corpsource = "Fac. des Sci., Limoges Univ., France",
keywords = "Axiom; Carmichael numbers; composite numbers; Lucas;
Maple; number theory; pseudoprimes; Rabin-Miller test;
symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Baglivo:1995:CAS,
author = "Jenny Baglivo",
title = "Computer Algebra Systems: {Maple} and {Mathematica}",
journal = j-AMER-STAT,
volume = "49",
number = "1",
pages = "86--??",
year = "1995",
CODEN = "ASTAAJ",
ISSN = "0003-1305",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Ballarin:1995:TAI,
author = "Clemens Ballarin and Karsten Homann and Jacques
Calmet",
title = "Theorems and Algorithms: An Interface between
{Isabelle} and {Maple}",
crossref = "Levelt:1995:IIS",
pages = "150--157",
year = "1995",
bibdate = "Thu Mar 12 08:42:30 MST 1998",
bibsource = "Compendex database; http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p150-ballarin/",
abstract = "Solving sophisticated mathematical problems often
requires algebraic algorithms and theorems. However,
there are no environments integrating theorem provers
and computer algebra systems which consistently provide
the inference capabilities of the former and the
powerful arithmetic of the latter systems. As an
example of such a mechanized mathematics environment,
we describe a prototype implementation of an interface
between Isabelle and Maple. It is achieved by extending
the simplifier of Isabelle through the introduction of
a new class of simplification rules called `evaluation
rules', in order to make selected operations of Maple
available, and without any modification to the computer
algebra system. Additionally, we specify syntax
translations for the concrete syntax of Maple which
enables the communication between both systems. This is
illustrated by some examples that can be solved by
theorems and algorithms.",
acknowledgement = ack-nhfb,
affiliation = "Inst. fur Algorithmen und Kognitive Syst., Karlsruhe
Univ., Germany",
classification = "721.1; 722.2; 723.1.1; 921; 921.1; 921.2; C4210
(Formal logic); C6150E (General utility programs);
C6170K (Knowledge engineering techniques); C7310
(Mathematics computing)",
conference = "Proceedings of the 1995 International Symposium on
Symbolic and Algebraic Computation",
keywords = "Algebra; Algebraic algorithms; algebraic computation;
Algorithms; algorithms; Arithmetic; Artificial
intelligence; Calculations; Computer algebra system;
Computer programming languages; Digital arithmetic;
Evaluation rules; Inference capabilities; Integration;
Interface; Interfaces (computer); Isabelle; languages;
Logical languages; Maple; Mathematical techniques;
Mechanized mathematics environment; Problem solving;
Procedural algebraic knowledge; Prototype
implementation; Simplification rules; Simplifier;
Symbolic calculations; symbolic computation; Syntax
translations; Syntax translations, ISSAC; Theorem
prover; Theorem proving; theory; verification",
meetingaddress = "Montreal, Can",
meetingdate = "Jul 10--12 1995",
meetingdate2 = "07/10--12/95",
subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Languages and Systems,
Special-purpose algebraic systems. {\bf I.1.3}
Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, Languages and Systems, Maple. {\bf G.4}
Mathematics of Computing, MATHEMATICAL SOFTWARE,
Algorithm design and analysis. {\bf F.4.1} Theory of
Computation, MATHEMATICAL LOGIC AND FORMAL LANGUAGES,
Mathematical Logic. {\bf I.1.4} Computing
Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION,
Applications.",
thesaurus = "Application program interfaces; Arithmetic; Inference
mechanisms; Mathematics computing; Symbol manipulation;
Theorem proving",
}
@InProceedings{Barkatou:1995:RVM,
author = "A. Barkatou",
title = "A rational version of {Moser}'s algorithm",
crossref = "Levelt:1995:IIS",
pages = "297--302",
year = "1995",
bibdate = "Thu Mar 12 08:42:30 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p297-barkatou/",
abstract = "It is important to know whether a linear system of
differential equations has a regular or an irregular
singularity at a given point $x_0$ of the complex
domain C. Moser (1960) has given an algorithm to solve
this problem. His algorithm needs to compute with the
individual singularities of the system and requires
computations in algebraic extensions of the constant
field for the coefficients of the system. This may
represent an important drawback from a practical point
of view. This paper describes a rational version of
Moser's algorithm which has been implemented in the
Maple computer algebra system for systems of
differential equations with coefficients in $Q(x)$. It
never needs to compute with the individual
singularities of the system and avoids any algebraic
extensions. In addition, our algorithm reduces a linear
system of differential equations with coefficients in
$Q(x)$ to an `irreducible' form which is particularly
convenient if one wishes to compute invariants at
singularities.",
acknowledgement = ack-nhfb,
affiliation = "LMC-IMAG, Grenoble, France",
classification = "C4170 (Differential equations); C7310 (Mathematics
computing)",
keywords = "algebraic computation; Algebraic extensions;
algorithms; Computer algebra system, ISSAC; Irregular
singularity; Linear differential equations; Maple;
Regular singularity; symbolic computation; theory;
verification",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Nonalgebraic
algorithms. {\bf F.2.1} Theory of Computation, ANALYSIS
OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
Algorithms and Problems, Computations on matrices. {\bf
I.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC
MANIPULATION, General.",
thesaurus = "Linear differential equations; Mathematics computing;
Symbol manipulation",
}
@Book{Bauldry:1995:LAM,
author = "William C. Bauldry and Benny Evans and Jerry Johnson",
title = "Linear Algebra with {Maple}",
publisher = pub-JW,
address = pub-JW:adr,
pages = "xiii + 275",
year = "1995",
ISBN = "0-471-06368-1",
LCCN = "QA185.D37B38 1995",
bibdate = "Tue Aug 22 17:43:25 1995",
price = "US\$20.95",
acknowledgement = ack-nhfb,
}
@Book{Beltzer:1995:EAM,
author = "Abraham I. Beltzer",
title = "Engineering analysis with {Maple}\slash
{Mathematica}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xi + 282",
year = "1995",
ISBN = "0-12-085570-4",
LCCN = "QA76.95 .B45 1995",
bibdate = "Sat Mar 9 08:21:34 MST 1996",
acknowledgement = ack-nhfb,
annote = "One 3 1/2 in. computer disk attached to inside back
cover.",
keywords = "Engineering --- Use of --- Computers; Engineering
mathematics --- Data processing; finite element method
--- computer programs; Maple (computer file);
Mathematica (computer file); Mathematica (Computer
program language)",
}
@Book{Blachman:1995:UM,
author = "N. Blachman",
title = "Using {Maple}",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "????",
year = "1995 (??)",
bibdate = "Wed Aug 30 09:46:34 1995",
acknowledgement = ack-nhfb,
}
@Book{Boggess:1995:CMV,
author = "Albert Boggess and David Barrow and Maurice Rahe and
Jeff Morgan",
title = "{CalcLabs} with {Maple V}, First Edition",
publisher = pub-BROOKS-COLE,
address = pub-BROOKS-COLE:adr,
pages = "xii + 229",
year = "1995",
ISBN = "0-534-25590-6",
LCCN = "303.5.D37C34 1995",
bibdate = "Tue Aug 22 17:43:36 1995",
price = "US\$17.95",
acknowledgement = ack-nhfb,
}
@Book{Borgert:1995:MP,
author = "J. Borgert and H. Schwarze",
title = "Maple in der Physik",
publisher = "????",
address = "????",
pages = "????",
year = "1995",
ISBN = "????",
LCCN = "????",
bibdate = "Sat Mar 09 08:38:33 1996",
acknowledgement = ack-nhfb,
}
@Article{Brown:1995:MSP,
author = "Allen Brown",
title = "Model Software for Problem Solving: {Maple V} is the
latest version of a modelling package capable of
solving equations analytically, and much more",
journal = j-ELECTRONICS-WORLD-WIRELESS-WORLD,
volume = "101",
number = "5",
pages = "379--??",
month = may,
year = "1995",
CODEN = "EWWWE6",
ISSN = "0959-8332",
bibdate = "Sat Aug 17 09:04:46 1996",
bibsource = "Compendex database",
abstract = "Maple V, Release 3, is a modelling package capable of
symbolic, numerical and graphical processing. These
include solving equations numerically and analytically,
performing differentiations and integrations,
polynomial factorizations, matrix manipulations, and
generation of 2-D and 3-D graphs. The package also
includes an interpreter that allows the creation of
procedures. The only major drawback of the package is
its steep learning curve.",
acknowledgement = ack-nhfb,
classification = "721.1; 722.2; 723.1; 723.5; 921.2; 921.6",
journalabr = "Electron World Wireless World",
keywords = "Computer graphics; Computer simulation; Computer
software; Differential equations; Graphical user
interfaces; Laplace transforms; Mathematical models;
Problem solving; Procedure oriented languages; Software
Package maple V; Symbolic processing; Syntax rules;
Three dimensional computer graphics; Transfer
functions; Two dimensional",
}
@Book{Bugl:1995:EDE,
author = "Paul Bugl",
title = "Explorations in Differential Equations using {Maple}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "149",
year = "1995",
ISBN = "0-13-374752-2",
LCCN = "????",
bibdate = "Mon Oct 30 18:29:22 1995",
acknowledgement = ack-nhfb,
}
@Article{Campbell:1995:SGD,
author = "Stephen L. Campbell and E. Griepentrog",
title = "Solvability of general differential algebraic
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "16",
number = "2",
pages = "257--270",
year = "1995",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "34A09 (34A12 34A45 65L05)",
MRnumber = "95m:34003",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Patrick J. Rabier",
}
@Article{Carminati:1995:NSM,
author = "J. Carminati and J. S. Debitt and W. D. Scott",
title = "On the non-uniqueness of solutions in the modelling of
steady wind flows",
journal = j-COMP-FLUIDS,
volume = "24",
number = "2",
pages = "177--188",
month = feb,
year = "1995",
CODEN = "CPFLBI",
ISSN = "0045-7930",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The two-dimensional, steady, turbulent Navier-Stokes
Equations are explored for the case of a logarithmic
profile. A general, analytical solution technique is
presented, using potential functions; it contains two
arbitrary functions. Example solutions are derived with
the symbolic manipulator Maple; they show various shear
stress profiles derived from a single form for the
velocity profile. These stress variations occur within
an `equilibrium profile' and are affected by boundary
conditions and upstream effects. Shear stress and
dynamic roughness values derived from velocity profiles
should be used with caution.",
acknowledgement = ack-nhfb,
affiliation = "Murdoch Univ",
affiliationaddress = "Perth, Aust",
classification = "443.1; 631.1; 921.2; 921.6; 931.1",
journalabr = "Comput Fluids",
keywords = "Boundary conditions; Dynamic roughness; Equilibrium
profile; Flow visualization; Fluid dynamics; Functions;
Logarithmic; Maple; Mathematical models; Navier Stokes
equations; Shear stress; Steady wind flows; Stress
analysis; Turbulent flow; Upstream effects; Velocity;
Velocity profile; Wind",
}
@Book{CarrillodeAlbornoz:1995:MV,
author = "Augustin {Carillo de Albornoz} and Immaculada Llamas",
title = "{Maple V}",
publisher = "RA-MA Editorial",
address = "????",
pages = "????",
year = "1995",
ISBN = "84-7897-161-0",
LCCN = "????",
bibdate = "Sat Mar 09 08:40:08 1996",
acknowledgement = ack-nhfb,
}
@Article{Cheb-Terrab:1995:SVE,
author = "E. S. Cheb-Terrab and A. G. Elfimov",
title = "Solution of {Vlasov}'s equation for complicated plasma
geometry. {I}. Spherical type",
journal = j-COMP-PHYS-COMM,
volume = "85",
number = "2",
pages = "251--266",
month = feb,
year = "1995",
CODEN = "CPHCBZ",
ISSN = "0010-4655",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "The asymptotic solution of Vlasov's equation for
complicated plasma geometry (spherical type) using the
computer algebra system Maple is presented. The
approximation of small ion and electron Larmor radii
(drift approximation) for a dipole magnetic field
configuration modeling the earth's plasmasphere was
used. The method of solution introduces elliptic
integrals as variables, which makes it possible to
obtain results in a relatively simple manner. A bounce
resonance factor (connected with trapped particles)
different from the one appearing in the Landau damping
case is found.",
acknowledgement = ack-nhfb,
affiliation = "Universidade do Estado do Rio de Janeiro",
affiliationaddress = "Rio de Janeiro, Braz",
classification = "481.3.2; 723.5; 921.1; 921.2; 921.6; 932.3",
journalabr = "Comput Phys Commun",
keywords = "Algebra; Approximation theory; Asymptotic solution;
Bounce resonance factor; Complicated plasma geometry
(spherical type); Computational geometry; Computational
methods; Computer algebra system (Maple); Computer
systems; Differential equations; Dipole magnetic field
configuration modeling; Drift approximation; Electron
Larmor radii; Geomagnetism; Integral equations; Landau
damping; Magnetic fields; Mathematical models; Natural
sciences computing; Plasma theory; Problem solving;
Small ion Larmor radii; Vlasov equation",
}
@Book{Corless:1995:EM,
author = "Robert M. Corless",
title = "Essential {Maple}: An Introduction for Scientific
Programmers",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 218",
year = "1995",
ISBN = "0-387-94209-2",
LCCN = "QA76.95 .C68 1995",
bibdate = "Tue Jun 06 18:03:27 1995",
price = "US\$24.95",
acknowledgement = ack-nhfb,
}
@Book{Corless:1995:SR,
author = "Robert M. Corless",
title = "Symbolic Recipes: Scientific Computing with {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "300",
year = "1995",
ISBN = "0-387-94210-6",
bibdate = "Tue Jun 06 18:03:27 1995",
price = "US\$39.00",
acknowledgement = ack-nhfb,
}
@Book{Cornil:1995:MIR,
author = "J. M. Cornil and P. Testud",
title = "{Maple}: Introduction raisonn{\'{e}}e {\`{a}} l'usage
de l'{\'{e}}tudiant, de l'ing{\'{e}}nieur et du
chercheur",
publisher = pub-SV,
address = pub-SV:adr,
pages = "????",
year = "1995",
ISBN = "3-540-58923-6",
LCCN = "????",
bibdate = "Sat Mar 09 08:43:17 1996",
acknowledgement = ack-nhfb,
}
@Book{Davis:1995:CGM,
author = "Phillip J. Davis and Reuben Hersh and Elena Anne
Marchisotto",
title = "The Companion Guide to the Mathematical Experience",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "vi + 120",
year = "1995",
ISBN = "0-8176-3849-0",
LCCN = "?QA8.4 .D37 1995",
bibdate = "Wed Dec 18 16:37:16 1996",
price = "US\$14.95",
URL = "http://www.birkhauser.com/Books/Davis/companion.htm",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Davis:1995:MES,
author = "Phillip J. Davis and Reuben Hersh and Elena Anne
Marchisotto",
title = "The Mathematical Experience: Study Edition",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xxi + 487",
year = "1995",
ISBN = "0-8176-3739-7",
LCCN = "QA8.4.D37 1995",
bibdate = "Thu Dec 28 12:10:36 1995",
price = "US\$38.50",
URL = "http://www.birkhauser.com/Books/Davis/SUMMARY.HTM",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Article{deJager:1995:USC,
author = "Bram {de Jager}",
title = "Use of symbolic computation in nonlinear control: Is
it viable?",
journal = j-IEEE-TRANS-AUTOMAT-CONTR,
volume = "40",
number = "1",
pages = "84--89",
month = jan,
year = "1995",
CODEN = "IETAA9",
ISSN = "0018-9286",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database",
abstract = "To help along the analysis and design of nonlinear
control systems the NONLINCON package, an acronym for
Nonlinear Control, was developed. This note addresses
the usefulness of symbolic computation, and of the
NONLINCON package in particular, for the symbolic
analysis and design of nonlinear control systems. The
symbolic computation program MAPLE is used as computing
substratum. Textbook problems show that the NONLINCON
package can be used successfully. A larger scale
problem is too complex, however, to be solved with the
current versions of NONLINCON and MAPLE. The conclusion
is that symbolic computation is a viable approach for
textbook problems, but not yet for more complex ones.",
acknowledgement = ack-nhfb,
affiliation = "Eindhoven Univ of Technology",
affiliationaddress = "Eindhoven, Neth",
classification = "723.1; 723.5; 731.1; 921.6",
journalabr = "IEEE Trans Autom Control",
keywords = "Algorithms; Computational methods; Computer aided
analysis; Computer software; Control system analysis;
Control system synthesis; Linearization; Mathematical
models; Nonlinear control systems; Nonlinear equations;
Software package Maple; Software package NONLINCON;
State space methods; Symbolic analysis",
}
@InProceedings{Diaz:1995:CGC,
author = "Angel D{\'\i}az and Erich Kaltofen",
title = "On Computing Greatest Common Divisors with Polynomials
Given By Black Boxes for Their Evaluations",
crossref = "Levelt:1995:IIS",
pages = "232--239",
year = "1995",
bibdate = "Thu Mar 12 08:42:30 MST 1998",
bibsource = "http://www.acm.org/pubs/toc/",
URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/220346/p232-diaz/",
abstract = "The black box representation of a multivariate
polynomial is a function that takes as input a value
for each variable and then produces the value of the
polynomial. We revisit the problem of computing the
greatest common divisor (GCD) in black box format of
several multivariate polynomials that themselves are
given by black boxes. To this end an improved version
of the algorithm sketched by E. Kaltofen and B. Trager
(1990) is described. Also the full analysis of the
improved algorithm is given. Our algorithm constructs
in random polynomial-time a procedure that will
evaluate a fixed associate of the GCD at an arbitrary
point (supplied as its input) in polynomial time. The
randomization of the black box construction is of the
Monte-Carlo kind, that is with controllably high
probability the procedures evaluating the GCD are
correct at all input points. Finally, a Maple prototype
implementation as well as our plans for developing a
subsystem for manipulating multivariate polynomials and
rational functions in black box representation are
presented.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Rensselaer Polytech. Inst.,
Troy, NY, USA",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C7310
(Mathematics computing)",
keywords = "algebraic computation; algorithms; Black box format;
Black boxes; Greatest common divisor; Greatest common
divisors; languages; Maple prototype implementation;
Monte-Carlo method; Multivariate polynomials;
Polynomials; Random polynomial-time; Randomization;
Rational functions, ISSAC; symbolic computation;
theory; verification",
subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND
ALGEBRAIC MANIPULATION, Algorithms, Algebraic
algorithms. {\bf I.1.1} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Expressions and
Their Representation, Representations (general and
polynomial). {\bf F.2.1} Theory of Computation,
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
Numerical Algorithms and Problems, Computations on
polynomials. {\bf F.1.3} Theory of Computation,
COMPUTATION BY ABSTRACT DEVICES, Complexity Measures
and Classes. {\bf I.1.3} Computing Methodologies,
SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and
Systems, Maple.",
thesaurus = "Polynomials; Symbol manipulation",
}
@Book{DiBenedetto:1995:PDE,
author = "Emmanuele DiBenedetto",
title = "Partial Differential Equations",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiv + 416",
year = "1995",
ISBN = "0-8176-3708-7",
LCCN = "QA377.D624 1995",
bibdate = "Thu Dec 28 12:13:05 1995",
price = "US\$42.50",
URL = "http://www.birkhauser.com/Books/dibenedetto/summary.htm",
acknowledgement = ack-nhfb,
keywords = "Maple",
}
@Book{Dodson:1995:EMU,
author = "C. T. J. Dodson and E. A. (Elizabeth A.) Gonzalez",
title = "Experiments in mathematics using {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xix + 465",
year = "1995",
ISBN = "3-540-59284-9",
LCCN = "QA76.95 .D63 1995",
bibdate = "Wed Dec 18 16:38:07 1996",
acknowledgement = ack-nhfb,
}
@Article{Douglas:1995:EEA,
author = "Scott C. Douglas and Weimin Pan",
title = "Exact expectation analysis of the {LMS} adaptive
filter",
journal = j-IEEE-TRANS-SIG-PROC,
volume = "43",
number = "12",
pages = "2863--2871",
month = dec,
year = "1995",
CODEN = "ITPRED",
ISSN = "1053-587X",
bibdate = "Fri May 24 09:57:04 MDT 1996",
bibsource = "Compendex database",
abstract = "In almost all analyses of the least-mean-square (LMS)
adaptive filter, it is assumed that the filter
coefficients are statistically independent of the input
data currently in filter memory, an assumption that is
incorrect for shift-input data. In this paper, we
present a method for deriving a set of linear update
equations that can be used to predict the exact
statistical behavior of a finite-impulse-response (FIR)
LMS adaptive filter operating upon finite-time
correlated input data. Using our method, we can derive
exact bounds upon the LMS step size to guarantee mean
and mean-square convergence. Our equation-deriving
procedure is recursive and algorithmic, and we describe
a program written in the MAPLE symbolic-manipulation
software package that automates-the derivation for
arbitrarily-long adaptive filters operating on input
data with stationary statistics. Using our analysis, we
present a search algorithm that determines the exact
step size mean-square stability bound for a given
filter length and input correlation statistics.
Extensive computer simulations indicate that the exact
analysis is more accurate than previous analyses in
predicting adaptation behavior. Our results also
indicate that the exact step size bound is much more
stringent than the bound predicted by the independence
assumption analysis for correlated input data.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Utah",
affiliationaddress = "Salt Lake City, UT, USA",
classification = "703.2; 716.1; 721.1; 723.1; 723.5; 921.6",
journalabr = "IEEE Trans Signal Process",
keywords = "Adaptive filtering; Algorithms; Computer simulation;
Computer software; Convergence of numerical methods;
Digital filters; Least mean square adaptive filter;
Recursive functions; Software package MAPLE; Step size
mean square stability bound",
}
@Book{Edwards:1995:LA,
author = "Harold M. Edwards",
title = "Linear Algebra",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiii + 184",
year = "1995",
ISBN = "0-8176-3731-1",
LCCN = "QA184.E355 1995",
bibdate = "Thu Dec 28 12:14:10 1995",
price = "US\$36.50",
URL = "http://www.birkhauser.com/Books/edwards/summary.htm",
acknowledgement = ack-nhfb,
}
@InProceedings{Fitzgerald:1995:TEQ,
author = "S. Fitzgerald and J. Place",
title = "Teaching elementary queueing theory with a computer
algebra system",
crossref = "Anonymous:1995:STS",
journal = j-SIGCSE,
volume = "27",
number = "1",
pages = "350--354",
month = mar,
year = "1995",
CODEN = "SIGSD3",
ISSN = "0097-8418",
bibdate = "Mon Sep 30 05:19:32 MDT 1996",
abstract = "Computer algebra systems such as Maple, Mathematica
and MACSYMA are readily available for a wide range of
PC's and workstations. Many college campuses have site
licenses for these software tools and make them widely
available to students through PC labs, across networks
and on time sharing systems. Additionally student
versions of these software tools are widely available
at nominal cost. Computer algebra systems provide
sophisticated computational support and are intuitive
to use. We describe how we use a computer algebra
system to support an upper division undergraduate
course teaching elementary queueing theory. We discuss
the significant enhancement added by using a computer
algebra system for this course work. We present the
traditional approach to this material, i.e., deriving
the closed form solutions for a specific queueing model
then we show how we approach the material using
numerical solutions based on the general equations for
steady state probabilities for a Poisson Birth-Death
process. We present several examples and discuss the
strengths of our approach.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Comput. Sci., Rockhurst Coll.,
Kansas City, MO, USA",
classification = "C1140C (Queueing theory); C7310 (Mathematics
computing); C7810C (Computer-aided instruction)",
keywords = "Closed form solutions; Computational support; Computer
algebra system; Elementary queueing theory; MACSYMA;
Maple; Mathematica; PC labs; Personal computer; Poisson
Birth-Death process; Steady state probabilities;
Teaching; Time sharing systems; Undergraduate course;
Workstations",
thesaurus = "Computer aided instruction; Courseware; Educational
courses; Mathematics computing; Probability; Queueing
theory",
}
@Book{Fiume:1995:ISS,
author = "Eugene L. Fiume",
title = "An introduction to scientific, symbolic, and graphical
computation",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "xvi + 306",
year = "1995",
ISBN = "1-56881-051-2",
LCCN = "QA76.F54 1995",
MRclass = "68-01 (65-01)",
MRnumber = "95m:68001",
bibdate = "Thu Dec 28 10:25:43 1995",
acknowledgement = ack-nhfb,
keywords = "Maple",
reviewer = "Ian Gladwell",
}
@Article{Flajolet:1995:CAL,
author = "Philippe Flajolet and Bruno Salvy",
title = "Computer Algebra Libraries for Combinatorial
Structures",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "5--6",
pages = "653--672 (or 653--671??)",
month = nov # "--" # dec,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68R05 (05Axx 68Q25 68Q40)",
MRnumber = "1 395 419",
bibdate = "Sat May 10 15:54:09 MDT 1997",
note = "Symbolic computation in combinatorics $\Delta_1$
(Ithaca, NY, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C1160 (Combinatorial
mathematics); C6110B (Software engineering
techniques)",
corpsource = "Algorithms Project, Inst. Nat. de Recherche en Inf. et
Autom., Le Chesnay, France",
keywords = "algebra libraries; algorithms; combinatorial
mathematics; combinatorial structures; combstruct;
computer; counting sequence; decidable; decomposable
structures; equivalent; functions; holonomic sequences;
libraries; LUG; manipulation; Maple; random generation;
software libraries; symbol; traversal algorithms",
treatment = "T Theoretical or Mathematical",
}
@Article{Fournier:1995:VMS,
author = "Robert Fournier and Norbert Kajler and Bernard
Mourrain",
title = "Visualization of Mathematical Surfaces: the {IZIC}
Server Approach",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "1/2/3",
pages = "159--174 (or 159--173??)",
month = jan # ", " # feb # ", " # mar,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "68Q40 (57N05 68U10)",
MRnumber = "1 339 116",
bibdate = "Sat May 10 15:54:09 MDT 1997",
note = "Design and implementation of symbolic computation
systems (Gmunden, 1993).",
acknowledgement = ack-nhfb,
affiliation = "INRIA, Sophia Antipolis, France",
classcodes = "C6130B (Graphics techniques); C7310 (Mathematics
computing); C6180 (User interfaces)",
classification = "C6130B (Graphics techniques); C6180 (User
interfaces); C7310 (Mathematics computing)",
corpsource = "INRIA, Sophia Antipolis, France",
keywords = "3D graphic; 3D graphic library; 3D graphic tool;
CAS/PI; Colors; colors; colour graphics; Command
language; command language; Computer algebra systems;
computer algebra systems; Curve manipulation; curve
manipulation; data visualisation; Illumination model;
illumination model; interactive systems; Interactive
tool; interactive tool; IZIC server; Macsyma;
manipulation; Maple; Mathematica; Mathematical surface
visualization; mathematical surface visualization;
mathematics computing; Reduce; Shading; shading;
surface; Surface manipulation; symbol manipulation;
tool; Transparency; transparency; Unix server; User
interface; user interface; user interfaces; Virtual
graphic device; virtual graphic device; ZICLIB",
thesaurus = "Colour graphics; Data visualisation; Interactive
systems; Mathematics computing; Symbol manipulation;
User interfaces",
treatment = "P Practical; T Theoretical or Mathematical",
xxauthor = "R. Fournier and N. Kajler and B. Mourrain",
}
@Book{Gander:1995:SPS,
author = "Walter Gander and Ji{\v{r}}i
H{\v{r}}eb{\'{\i}}{\v{c}}ek",
title = "Solving Problems in Scientific Computing Using {Maple}
and {MATLAB}",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xv + 315",
year = "1995",
ISBN = "3-540-58746-2",
LCCN = "Q183.9 .G36 1995",
bibdate = "Wed Aug 30 10:20:23 1995",
acknowledgement = ack-nhfb,
keywords = "MAPLE (computer file); MATLAB; science -- data
processing",
}
@Article{Garvan:1995:RTE,
author = "Frank G. Garvan",
title = "{Ramanujan}'s Theories of Elliptic Functions to
Alternative Bases --- a Symbolic Excursion",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "5--6",
pages = "517--536",
month = nov # "--" # dec,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "11Bxx",
MRnumber = "1 395 412",
bibdate = "Sat May 10 15:54:09 MDT 1997",
note = "Symbolic computation in combinatorics $\Delta_1$
(Ithaca, NY, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Dept. of Math., Florida Univ., Gainesville, FL, USA",
keywords = "alternative bases; elliptic functions; MAPLE;
Ramanujan`s theories; symbol manipulation; symbolic
excursion",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Gessel:1995:FIW,
author = "Ira M. Gessel",
title = "Finding Identities with the {WZ} Method",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "5-6",
pages = "537--566",
month = nov # "--" # dec,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171",
MRclass = "05Axx (33Cxx)",
MRnumber = "1 395 413",
bibdate = "Sat May 10 15:54:09 MDT 1997",
note = "Symbolic computation in combinatorics $\Delta_1$
(Ithaca, NY, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Dept. of Math., Brandeis Univ., Waltham, MA, USA",
keywords = "(mathematics); duality; duality (mathematics);
identities; Maple program; mathematics computing;
series; symbol manipulation; terminating hypergeometric
series; WZ method; WZ-pairs",
treatment = "A Application; P Practical",
}
@Book{Gomez:1995:CFM,
author = "C. Gomez and B. Salvy and P. Zimmermann",
title = "Calcul Formel: Mode d'Emploi. Exemples en {Maple}",
volume = "13",
publisher = pub-MASSON,
address = pub-MASSON:adr,
edition = "2e tirage avec mise {\`a} jour {Maple V.4}",
pages = "xii + 327",
year = "1995",
ISBN = "2-225-84780-0",
LCCN = "????",
bibdate = "Sat Mar 09 08:48:45 1996",
series = "Logique math{\'e}matiques informatique",
acknowledgement = ack-nhfb,
}
@Book{Greene:1995:CMM,
author = "Ronald L. Greene",
title = "Classical mechanics with {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 173",
year = "1995",
ISBN = "0-387-94512-1",
LCCN = "QC125.2 .G72 1995",
bibdate = "Sat Mar 9 08:21:34 MST 1996",
acknowledgement = ack-nhfb,
keywords = "maple (computer file); mechanics -- data processing",
}
@Book{Hagin:1995:CEM,
author = "Frank G. Hagin and Jack K. Cohen",
title = "Calculus Explorations with {Maple}",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1995",
ISBN = "0-13-328576-6",
LCCN = "????",
bibdate = "Sat Mar 09 08:50:17 1996",
acknowledgement = ack-nhfb,
}
@Book{Harris:1995:DCM,
author = "Kent Harris and Robert J. Lopez",
title = "Discovering calculus with {Maple}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "344",
year = "1995",
ISBN = "0-471-00973-3",
LCCN = "QA303.5.D37 H37 1995",
bibdate = "Wed Aug 30 10:33:26 1995",
acknowledgement = ack-nhfb,
}
@Book{Heal:1995:MVM,
author = "K. M. Heal and M. L. Hansen and K. M. Rickard",
title = "{Maple V} Mathematics Learning Guide",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 269",
year = "1995",
ISBN = "0-387-94536-9",
LCCN = "QA155.7.E4 H42 1996",
bibdate = "Wed Dec 18 16:38:41 1996",
note = "With the editorial assistance of J. S. Devitt; based
in part on the work of B. W. Char.",
price = "US\$24.00",
acknowledgement = ack-nhfb,
}
@Book{Heck:1995:IMa,
author = "Andr{\'e} Heck",
title = "Introduction to {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "525",
year = "1995",
ISBN = "0-387-94535-0",
LCCN = "QA155.7.E4H43 1993",
bibdate = "Tue Jun 06 17:57:02 1995",
price = "US\$39.00",
acknowledgement = ack-nhfb,
}
@Article{Heck:1995:IMb,
author = "Andre Heck and Wolfram Koepf",
title = "Introduction to {Maple}",
journal = j-SIAM-REVIEW,
volume = "37",
number = "1",
pages = "132--??",
year = "1995",
CODEN = "SIREAD",
ISSN = "0036-1445",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
acknowledgement = ack-nhfb,
}
@Book{Horbatsch:1995:QMU,
author = "Marko Horbatsch",
title = "Quantum mechanics using {Maple}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 331",
year = "1995",
ISBN = "3-540-58875-2",
LCCN = "QC174.17.D37 H67 199",
bibdate = "Wed Aug 30 10:07:00 1995",
acknowledgement = ack-nhfb,
}
@Book{Horhager:1995:MTN,
author = "M. H{\"{o}}rhager",
title = "{Maple in Technik und Naturwissenschaft}",
publisher = "????",
address = "????",
pages = "????",
month = dec,
year = "1995",
ISBN = "????",
LCCN = "????",
bibdate = "Sat Mar 09 08:49:18 1996",
acknowledgement = ack-nhfb,
}
@InProceedings{Hrebicek:1995:SVM,
author = "J. Hr{\v{e}}b{\'{\i}}{\v{c}}ek",
title = "Scientific Vi