%%% -*-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 Visualization with {MAPLE}", crossref = "Skala:1995:CGV", pages = "366--375", year = "1995", bibdate = "Tue Mar 25 09:05:23 1997", abstract = "Maple is a computer environment for doing mathematics and solving scientific problems. Maple is powerful tool for mathematicians, physicists, chemists, engineers, teachers,\ldots{}, in short, for anybody who needs to do mathematical computations. Symbolic and numerical computations and computer visualization can all be done with Maple. The breadth of Maple's functionality is wide-topics from symbolic manipulation with expressions, calculus, linear algebra, differential equations, geometry, statistics and many other mathematical areas are covered. Maple's 2D and 3D graphics provide you with the power of scientific visualization functions and expressions in both one and two unknowns, as well as parametric equations, and sets of points can be represented graphically. There are about 30 types of special plots, as well as many available options for customising the way each graphic is displayed.", acknowledgement = ack-nhfb, affiliation = "Waterloo MAPLE Software GmbH, Heidelberg, Germany", classification = "C6130B (Graphics techniques); C7310 (Mathematics computing)", keywords = "Computer algebra; Display customization; Graphical representation; Maple; Mathematical computations; Numerical computations; Parametric equations; Point sets; Scientific visualization; Special plots; Symbolic computations", thesaurus = "Data visualisation; Natural sciences computing; Software packages; Symbol manipulation", } @Article{Hutton:1995:MCA, author = "J. Hutton and J. Hutton", title = "The {Maple} Computer Algebra System", journal = j-J-APPL-ECONOMETRICS, volume = "10", number = "3", pages = "329--??", year = "1995", CODEN = "JAECET", ISSN = "0883-7252", bibdate = "Sun Feb 4 17:20:38 MST 1996", acknowledgement = ack-nhfb, } @Book{Kamerich:1995:GM, author = "Ernic Kamerich", title = "A Guide to {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "335", year = "1995", ISBN = "0-387-94116-9", LCCN = "QA76.95 .K355 1995", bibdate = "Tue Jun 06 18:02:31 1995", price = "US\$29.00", acknowledgement = ack-nhfb, } @Book{Kirkwood:1995:AIE, author = "J. R. Kirkwood", title = "Annotated Instructor's Edition to accompany {\em {Calculus Projects for Maple}\/}", publisher = pub-WCB, address = pub-WCB:adr, pages = "????", year = "1995", ISBN = "0-697-25488-7", bibdate = "Wed Aug 30 09:31:37 1995", acknowledgement = ack-nhfb, } @Book{Komma:1995:MPM, author = "Michael Komma", title = "{Moderne Physik mit Maple}", publisher = pub-ITP, address = pub-ITP:adr, pages = "????", month = nov, year = "1995", ISBN = "3-929821-81-8", LCCN = "????", bibdate = "Sat Mar 09 08:56:40 1996", acknowledgement = ack-nhfb, } @Article{Labelle:1995:CVM, author = "Gilbert Labelle and Louise Laforest", title = "Combinatorial variations on multidimensional quadtrees", journal = j-J-COMB-THEORY-A, volume = "69", number = "1", pages = "1--16", year = "1995", CODEN = "JCBTA7", ISSN = "0097-3165", MRclass = "05A16 (05C05)", MRnumber = "95m:05018", bibdate = "Thu Dec 28 10:25:43 1995", acknowledgement = ack-nhfb, keywords = "Maple", reviewer = "SeungKyung Park", } @Book{Leroux:1995:AM, author = "Alain Leroux", title = "Applications de {Maple}", publisher = "Librairie Vuibert", address = "????", pages = "????", year = "1995", ISBN = "2-7117-8859-8", LCCN = "????", bibdate = "Sat Mar 09 08:58:19 1996", acknowledgement = ack-nhfb, } @InProceedings{Liao:1995:EHP, author = "Hsin-Chao Liao and Richard J. Fateman", title = "Evaluation of the heuristic polynomial {GCD}", crossref = "Levelt:1995:IIS", pages = "240--247", 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/p240-liao/", abstract = "The heuristic polynomial GCD procedure (GCDHEU) is used by the Maple computer algebra system, but no other. Because Maple has an especially efficient kernel that provides fast integer arithmetic, but a relatively slower interpreter for non-kernel code, the GCDHEU routine is especially effective in that it moves much of the computation into `bignum' arithmetic and hence executes primarily in the kernel. We speculated that in other computer algebra systems an implementation of GCDHEU would not be advantageous. In particular, if all the system code is compiled to run at `full speed' in a (presumably more bulky) kernel that is entirely written in C or compiled Lisp, then there would seem to be no point in recasting the polynomial GCD problem into a bignum GCD problem. Manipulating polynomials that are vectors of coefficients would seem to be equivalent computationally to manipulating vectors of big digits. Yet our evidence suggests that one can take advantage of the GCDHEU in a Lisp system as well. Given a good implementation of bignums, for most small problems and many large ones, a substantial speedup can be obtained by the appropriate choice of GCD algorithm, including often enough, the GCDHEU approach. Another major winner seem to be the subresultant polynomial remainder sequence algorithm. Because more sophisticated sparse algorithms are relatively slow on small problems and only occasionally emerge as superior (on larger problems) it seems the choice of a fast GCD algorithm is tricky.", acknowledgement = ack-nhfb, affiliation = "Comput. Sci. Div., California Univ., Berkeley, CA, USA", classification = "C4130 (Interpolation and function approximation); C6130 (Data handling techniques); C6140D (High level languages); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; C language; Compiled Lisp; Computer algebra systems; Heuristic polynomial GCD; Integer arithmetic; ISSAC; languages; Maple computer algebra system; Sparse algorithms; symbolic computation; System code", 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, Number-theoretic computations. {\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 = "C language; LISP; Polynomials; Symbol manipulation", } @InProceedings{Lisle:1995:ADS, author = "I. G. Lisle and G. J. Reid and A. Boulton", title = "Algorithmic determination of structure of infinite {Lie} pseudogroups of symmetries of {PDEs}", crossref = "Levelt:1995:IIS", pages = "1--6", 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/p1-lisle/", abstract = "We describe a method which uses a finite number of differentiations and linear operations to determine the Cartan structure coefficients of a structurally transitive Lie pseudogroup from its infinitesimal defining equations. If the defining system is of first order and the pseudogroup has no scalar invariants, the structure coefficients can be simply extracted from the coefficients of the infinitesimal system. We give an algorithm which reduces the higher order case to the first order case. The reduction process uses only differentiation and linear eliminations, for which several well-known algorithms are available. Our method makes feasible the calculation of the Cartan structure of infinite Lie pseudogroups of symmetries of differential equations. Examples including the KP equation and Liouville's equation are given.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., British Columbia Univ., Vancouver, BC, Canada", classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; Cartan structure coefficients; Differentiation; KP equation; languages; Lie pseudogroups; Linear eliminations; Liouville's equation, ISSAC; PDEs; Reduction; Structurally transitive Lie pseudogroup; symbolic computation; 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.1.0} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, General.", thesaurus = "Differentiation; Lie groups; Partial differential equations; Symbol manipulation", } @Article{Mahyat:1995:UMD, author = "M. Mahyat and A. Naifi and D. Elhajji and M. Ankrim", title = "Using {Maple} to drive the closed-form identification model of robotics manipulator", journal = j-MODELLING-MEASUREMENT-CONTROL-B, volume = "58", number = "1-2", pages = "53--63", year = "1995", CODEN = "MMBTEC", ISSN = "0761-2516", bibdate = "Sat Aug 17 09:04:53 1996", bibsource = "Compendex database", abstract = "Industrial robots are mechanical manipulators whose dynamic characteristics are highly nonlinear. In spite of these non-linearity the generalized force are linear function of the homogeneous inertial matrix of each link. Based on this property we propose a symbolic method for generating identification model of serial robots. Programs are presented to compute the identification model in symbolic closed forms by using the algebraic manipulation SOFTWARE MAPLE. Example are given for Cyber-310 arm and the efficiency of these computation is discussed.", acknowledgement = ack-nhfb, affiliation = "Universite Cadi Ayyad", affiliationaddress = "Maroc, Morocco", classification = "723; 731.1; 731.5; 921.1; 921.6; 931.1", journalabr = "Modell Meas Control B", keywords = "Calculations; Computer software; Control nonlinearities; Degrees of freedom (mechanics); Identification (control systems); Industrial robots; Linear function; Manipulators; Mathematical models; Matrix algebra; Nonlinear systems; Robotic arms; Robotics; Serial robots; Software Package MAPLE; Symbolic computation; Vectors", } @Article{Ogunye:1995:CSG, author = "Ayowale B. Ogunye and Alexander Penlidis", title = "Computation of system {Gramians} and balanced realizations using {Maple V}", journal = j-INT-J-SYST-SCI, volume = "26", number = "4", pages = "899--926", month = apr, year = "1995", CODEN = "IJSYA9", ISSN = "0020-7721", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database", abstract = "The determination of system gramians and balanced realizations has been carried out using a computer algebra system (Maple V) with symbolic, numerical, graphical and programming capabilities, in order to demonstrate the applicability of computer algebra in advanced process control. The calculations involved are complex, tedious and error prone, even for simple examples. The use of Maple V has provided symbolic and numerical results, quickly and efficiently, with a tremendous gain in time and with minimal effort.", acknowledgement = ack-nhfb, affiliation = "Univ of Waterloo", affiliationaddress = "Waterloo, Ont, Can", classification = "723.5; 731.1; 731.3; 921.1; 921.3; 921.6", journalabr = "Int J Syst Sci", keywords = "Algebra; Balanced realizations; Computational methods; Computer algebra system; Computer simulation; Computer software Maple V; Control theory; Controllability; Eigenvalues and eigenfunctions; Inverse problems; Laplace transforms; Linear control systems; Observability; Process control; System gramians; Z transforms", } @Article{Ozaki:1995:CFD, author = "Hideshi Ozaki and Kiyoshi Shirayanagi", title = "Calculation of floating decimal {Gr{\"o}bner} bases using {Maple}'s interval package", journal = "S\=urikaisekikenky\=usho K\=oky\=uroku", volume = "920", pages = "38--52", year = "1995", MRclass = "65Y15 (68Q40)", MRnumber = "MR1398457", bibdate = "Sat Apr 16 17:29:05 2005", note = "Research on the theory and applications of computer algebra (Japanese) (Kyoto, 1994)", fjournal = "S\=urikaisekikenky\=usho K\=oky\=uroku", } @Article{Pirastu:1995:PCI, author = "Roberto Pirastu and Kurt Siegl", title = "Parallel computation and indefinite summation: a ${\Vert} ${MAPLE}${\Vert} $ application for the rational case", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5-6", pages = "603--616", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171", MRclass = "33Cxx (65D20), 33C20 (33-04 65D20)", MRnumber = "MR1395416 (97j:33006)", 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); C6110P (Parallel programming); C1160 (Combinatorial mathematics)", corpsource = "RISC-Linz, Johannes Kepler Univ., Linz, Austria", fjournal = "Journal of Symbolic Computation", keywords = "closed form for sums; combinatorial mathematics; combinatorics; complexity analysis; functions; indefinite summation; manipulation; MAPLE; parallel algorithms; parallel implementation; parallel Maple; rational; special; symbol", treatment = "T Theoretical or Mathematical", } @Article{Place:1995:UCA, author = "Jerry Place and Sue Fitzgerald", title = "Using a computer algebra system ({Maple}) to teach elementary queueing theory", journal = j-COMPUT-APPL-ENG-EDUC, volume = "3", number = "1", pages = "65--73", year = "1995", CODEN = "CAPEED", ISSN = "1061-3773", bibdate = "Fri May 24 09:57:04 MDT 1996", bibsource = "Compendex database", abstract = "Computer algebra systems such as Maple, Mathematica, and MACSYMA are readily available for a wide range of PCs 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. In addition, student versions of these software tools are widely available at nominal cost. Computer algebra systems provide sophisticated computational support and are intuitive to use. In this article we describe how we use Maple to support an upper-division undergraduate course teaching elementary queueing theory. We discuss the significant enhancement added by using Maple for this coursework. 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 = "Univ of Missouri-Kansas City", affiliationaddress = "Kansas City, MO, USA", classification = "722.4; 723.1; 723.5; 901.2; 921.1; 922.1", journalabr = "Comput Appl Eng Educ", keywords = "Algebra; Computational methods; Computer aided instruction; Computer aided software engineering; Computer algebra system; Computer workstations; Elementary queueing theory; Engineering education; Maple; Mathematical models; Personal computers; Poisson Birth Death process; Probability; Queueing theory; Teaching; Time sharing systems", } @Book{Preiser:1995:CM, author = "U. Preiser and N. Mondel", title = "Campusline {Maple}", publisher = "tewi-Verlag", address = "????", pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:48:58 1995", acknowledgement = ack-nhfb, } @Book{Raade:1995:MHS, author = "Lennart R{\aa}de and Bertil Westergren", title = "Mathematics Handbook for Science and Engineering", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "539", year = "1995", ISBN = "0-8176-3858-X", LCCN = "QA41 .R33 1995", bibdate = "Wed Dec 18 16:39:03 1996", price = "US\$45.00", URL = "http://www.birkhauser.com/Books/rade/summary.htm", acknowledgement = ack-nhfb, } @Book{Redfern:1995:PAU, author = "Darren Redfern", title = "The Practical Approach Utilities for {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "400", year = "1995", ISBN = "0-387-14221-5", LCCN = "QA76.95.R434 1995", bibdate = "Wed Jul 23 09:42:10 1997", price = "US\$69.00", acknowledgement = ack-nhfb, } @Book{Rincon:1995:CCC, author = "Felix Rincon and Alfonsa Garcia and Angeles Martinez", title = "Calcul cientifico con {Maple}", publisher = "RA-MA Editorial", address = "????", pages = "????", year = "1995", ISBN = "84-7897-199-8", LCCN = "????", bibdate = "Sat Mar 09 09:01:32 1996", acknowledgement = ack-nhfb, } @Book{Schwalbe:1995:DEU, author = "D. Schwalbe", title = "Differential Equations Using {Maple}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:50:20 1995", acknowledgement = ack-nhfb, } @Book{Scott:1995:CAM, author = "T. Scott", title = "Computer Algebra and the Magic of {Maple}", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:50:58 1995", acknowledgement = ack-nhfb, } @Article{Snyder:1995:ACA, author = "R. Snyder", title = "Applications of a computer algebra system in introductory statistics", journal = j-BEHAV-RES-METH-INSTR-COMP, volume = "27", number = "2", pages = "139--143", month = may, year = "1995", CODEN = "BRMCEW", ISSN = "0743-3808", bibdate = "Mon Sep 30 05:14:59 MDT 1996", abstract = "Maple, a computer algebra system, is employed in introductory statistics courses to promote conceptual learning by students of statistical principles without direct use of mathematics. Maple's symbolic computation, graphic display, and animation capabilities support an integrated set of procedures for active study of sampling distributions and concepts related to samples, populations, and statistical decision making, error, and power. Students select parameter values for one-line commands and examine the effects of alternatives on computer-generated graphical representations of distributions. The 20 procedures written to support active student exploration of basic statistical concepts are described, and examples of exercises to support their use are provided.", acknowledgement = ack-nhfb, affiliation = "Denison Univ., Granville, OH, USA", classification = "C1140 (Probability and statistics); C6130B (Graphics techniques); C7310 (Mathematics computing); C7810C (Computer-aided instruction)", keywords = "Animation capabilities; Computer algebra system; Conceptual learning; Graphic display; Introductory statistics; Maple; Parameter values; Statistical decision making; Statistical principles; Students; Symbolic computation", thesaurus = "Computer aided instruction; Data visualisation; Statistical analysis; Symbol manipulation", } @Article{Sokolsky:1995:GNR, author = "Andrej G. Sokolsky and Akmal A. Vakhidov and Nickolay N. Vasiliev", title = "Generating a New Recurrence Relations System for Elliptic {Hansen} Coefficients by Means of Computer Algebra", journal = j-SIGSAM, volume = "29", number = "2S (special issue)", pages = "16--18", month = jun, year = "1995", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Fri Feb 8 18:27:04 MST 2002", bibsource = "http://portal.acm.org/", abstract = "The problem of obtaining a new system of recurrence relations for elliptic Hansen coefficients is solved by means of a computer algebra system MAPLE. Possibilities for the generation of new recurrence relations by means of the MAPLE-package LINALG are shown for the case of linear relations. As an example, advantages to use the obtained recurrence relations in an artificial satellite motion theory within elliptic functions are described.", acknowledgement = ack-nhfb, affiliation = "Inst. of Theor. Astron., Acad. of Sci., St. Petersburg, Russia", classcodes = "C7310 (Mathematics computing); C4170 (Differential equations)", classification = "C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Inst. of Theor. Astron., Acad. of Sci., St. Petersburg, Russia", keywords = "Artificial satellite motion theory; artificial satellite motion theory; artificial satellites; Computer algebra; computer algebra; elliptic equations; Elliptic functions; elliptic functions; elliptic Hansen coefficients; Elliptic Hansen coefficients; LINALG; linear relations; Linear relations; MAPLE; packages; recurrence relations system; Recurrence relations system; software; symbol manipulation", thesaurus = "Artificial satellites; Elliptic equations; Software packages; Symbol manipulation", treatment = "T Theoretical or Mathematical", } @Article{Stembridge:1995:MPS, author = "John R. Stembridge", title = "A {Maple} Package for Symmetric Functions", journal = j-J-SYMBOLIC-COMP, volume = "20", number = "5-6", pages = "755--768", month = nov # "--" # dec, year = "1995", CODEN = "JSYCEH", ISSN = "0747-7171", MRclass = "05E05 (65Y15), 05Exx (65Y15)", MRnumber = "MR1395426 (97j:05061)", 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); C1110 (Algebra)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "Journal of Symbolic Computation", keywords = "functions; Hall-Littlewood functions; Jack symmetric functions; Maple package; parameter symmetric functions; polynomial expressions; polynomials; Schur functions; symbol manipulation; symmetric functions; symmetric polynomials; two-; Zonal polynomials", treatment = "T Theoretical or Mathematical", } @Article{Taylor:1995:CEM, author = "R. Taylor and K. Atherley", title = "Chemical Engineering with {Maple}", journal = j-CEE, volume = "29", number = "1", pages = "56--??", year = "1995", CODEN = "CHEDAY", ISSN = "0009-2479", bibdate = "Sun Feb 4 17:20:38 MST 1996", acknowledgement = ack-nhfb, } @Article{Ulmer:1995:NKA, author = "Felix Ulmer and Jacques-Arthur Weil", title = "Note on {Kovacic}'s Algorithm", journal = j-SIGSAM, volume = "29", number = "2", pages = "10--11", month = apr, year = "1995", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", abstract = "J. Kovacic (J. Symb. Comp., vol. 2, pp. 3-43, 1986) gave an algorithm for solving second-order linear homogeneous differential equations. This algorithm, known as the Kovacic algorithm, computes the Liouvillian solutions of L(y)=y'-ry=0 (with r in C(x)). Since exponential solutions of linear differential equations are in general more difficult to compute than rational solutions, we propose an algorithm where rational solutions of symmetric powers are used as much as possible instead of exponential solutions. The advantage of our approach is (1) to give a simple proof of a Kovacic-like algorithm for arbitrary coefficient fields and to give a complete overview of all the possible polynomials; (2) to provide an easy-to-implement algorithm using only rational solutions for completely reducible groups G(L) contained in SL(2,C); and (3) to avoid algebraic extensions of the constant field by using rational solutions instead of exponential solutions of symmetric powers. The algorithm as been implemented in the Maple system and should soon find its way into the Maple share library. The new version is always faster than the current Maple implementation of the Kovacic algorithm, especially for example where G(L) is a finite primitive subgroup of SL(2,C) and where the current implementation fails to answer in most cases.", acknowledgement = ack-nhfb, affiliation = "Rennes I Univ., France", classcodes = "C4170 (Differential equations); C7310 (Mathematics computing)", classification = "C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Rennes I Univ., France", keywords = "2nd-order linear homogeneous differential; 2Nd-order linear homogeneous differential equations; arbitrary coefficient; Arbitrary coefficient fields; Completely reducible groups; completely reducible groups; constant; Constant field algebraic extensions; differential equations; equations; Exponential solutions; exponential solutions; field algebraic extensions; fields; finite; Finite primitive subgroup; group theory; Kovacic algorithm; Liouvillian solutions; Maple share library; mathematics computing; polynomials; Polynomials; polynomials; primitive subgroup; rational solutions; Rational solutions; symbol manipulation; symmetric powers; Symmetric powers", thesaurus = "Differential equations; Group theory; Mathematics computing; Polynomials; Symbol manipulation", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{vanHoeij:1995:ACW, author = "Mark {van Hoeij}", title = "An algorithm for computing the {Weierstrass} normal form", crossref = "Levelt:1995:IIS", pages = "90--95", 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/p90-van_hoeij/", abstract = "The paper describes an algorithm for computing a normal form $y^2+x^3+ax+b$ for algebraic curves with genus 1. The corresponding isomorphism of function-fields is also computed.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Nijmegen Univ., Netherlands", classification = "C1110 (Algebra); C4240 (Programming and algorithm theory); C6130 (Data handling techniques)", keywords = "algebraic computation, Algorithm; Algebraic curves; algorithms; Function field isomorphism; Genus 1; ISSAC; symbolic computation; theory; verification; Weierstrass normal form computation", 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 = "Algebra; Algorithm theory; Symbol manipulation", } @Book{Vardi:1995:ISC, author = "Ilan Vardi", title = "Introduction to Symbolic Computation", publisher = pub-TELOS, address = pub-TELOS:adr, pages = "320", year = "1995", ISBN = "0-387-94147-9", bibdate = "Tue Jun 06 17:46:02 1995", note = "Covers C, Fortran, Maple, and Mathematica.", price = "US\$49.95", acknowledgement = ack-nhfb, } @Book{Vetsch:1995:SMP, author = "M. Vetsch", title = "{Die Sprache Maple. Probleme, Beispiele, L{\"o}sungen}", publisher = pub-ITCP, address = pub-ITCP:adr, pages = "????", year = "1995", ISBN = "3-929821-22-2", bibdate = "Wed Aug 30 10:49:39 1995", acknowledgement = ack-nhfb, } @Book{Vilenkin:1995:SI, author = "N. Ya. Vilenkin", title = "In Search of Infinity", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "145", year = "1995", ISBN = "0-8176-3819-9, 3-7643-3819-9", LCCN = "QA9.V5513 1995", bibdate = "Thu Dec 28 11:59:59 1995", note = "Translated from Russian and edited by Abe Shenitzer, York University, Ontario, Canada.", price = "US\$24.50", URL = "http://www.birkhauser.com/Books/vilenkin/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Wang:1995:EPM, author = "Dong Ming Wang", title = "Elimination procedures for mechanical theorem proving in geometry", journal = j-ANN-MATH-ARTIF-INTELL, volume = "13", number = "1-2", pages = "1--24", year = "1995", CODEN = "AMAIEC", ISSN = "1012-2443", MRclass = "03B35 (68T15)", MRnumber = "95m:03028", bibdate = "Thu Dec 28 10:25:43 1995", acknowledgement = ack-nhfb, keywords = "Maple", } @InProceedings{Wang:1995:ICS, author = "Dong Ming Wang", title = "An implementation of the characteristic set method in {Maple}", crossref = "Pfalzgraf:1995:APR", pages = "187--201", year = "1995", MRclass = "68Q40", MRnumber = "MR1340206", bibdate = "Thu Dec 28 10:25:43 1995", acknowledgement = ack-nhfb, keywords = "Maple", } @Book{Waterloo:1995:MVRa, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak Upgrade: Student Maple Lab Pak Upgrade, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25567-0 (invalid checksum)", LCCN = "????", bibdate = "Fri Apr 28 12:53:08 1995", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRb, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3: Student Edition: Student {Maple}, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25560-4", LCCN = "????", bibdate = "Fri Apr 28 12:54:52 1995", price = "US\$90.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRc, author = "{Waterloo Maple Software}", title = "{Maple V} Student Edition Upgrade Release 3: Student Maple Upgrade, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25567-1", LCCN = "????", bibdate = "Fri Apr 28 12:56:49 1995", price = "US\$25.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRd, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Software Only: Student Maple Software Only, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25562-0", LCCN = "????", bibdate = "Fri Apr 28 12:58:22 1995", price = "US\$77.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRe, author = "{Waterloo Maple Software}", title = "{Maple V} Student Edition Release 3: Student {Maple}, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, year = "1995", ISBN = "0-534-25561-2", LCCN = "????", bibdate = "Fri Apr 28 16:05:11 1995", price = "US\$90.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRf, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak: Student Maple Lab Pak, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25564-7", LCCN = "????", bibdate = "Fri Apr 28 16:06:37 1995", price = "US\$670.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRg, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak Upgrade: Student Maple Lab Pak Upgrade, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25575-2", bibdate = "Fri Apr 28 16:35:56 1995", price = "US\$250.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRh, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Software Only: Student Maple Software Only, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25563-9", LCCN = "????", bibdate = "Fri Apr 28 16:36:51 1995", price = "US\$77.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRi, author = "{Waterloo Maple Software}", title = "{Maple V} Release 3 Student Edition Lab Pak: Student Maple Lab Pak, Release 3", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-25565-5", LCCN = "????", bibdate = "Fri Apr 28 18:37:22 1995", price = "US\$670.00", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRj, author = "{Waterloo Maple Software}", title = "{Maple V} Release 2: Student Edition, 386/486 Computers, Release 2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-21222-0", LCCN = "????", bibdate = "Fri Apr 28 16:37:59 1995", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRk, author = "{Waterloo Maple Software}", title = "{Maple V} Release 2: Student Edition, 386/486 Computers, Release 2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-21222-0", LCCN = "????", bibdate = "Fri Apr 28 16:38:57 1995", price = "US\$79.95", acknowledgement = ack-nhfb, } @Book{Waterloo:1995:MVRl, author = "{Waterloo Maple Software}", title = "{Maple V} Release 2: Student Edition, Macintosh, Release 2", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, pages = "????", year = "1995", ISBN = "0-534-21228-X", LCCN = "????", bibdate = "Fri Apr 28 16:39:50 1995", price = "US\$79.95", acknowledgement = ack-nhfb, } @Article{Wessels:1995:SRM, author = "P. Wessels", title = "Software review: {Maple V}", journal = j-SCITECH-J, volume = "5", number = "10", pages = "15, 17--19", month = nov # "-" # dec, year = "1995", CODEN = "SITJE8", ISSN = "1072-0995", bibdate = "Mon Sep 30 05:14:59 MDT 1996", abstract = "Maple V Release 3 is an extensive, powerful and interesting numerical, algebraic and graphical program. Some comparison between Maple and Mathematica is included in this review. At this moment, it seems that the Mathematica graphics are more fully developed and the Maple algebraic facilities seem to outshine Mathematica's. More experience with the two programs and future versions could change these tentative conclusions.", acknowledgement = ack-nhfb, classification = "C0310H (Equipment and software evaluation methods); C6130B (Graphics techniques); C7310 (Mathematics computing)", keywords = "Algebraic program; Graphical program; Maple V Release 3; Mathematica; Numerical program; Software review", thesaurus = "Computer graphics; Mathematics computing; Software reviews; Symbol manipulation", } @Book{Wick:1995:IBS, author = "David Wick", title = "The Infamous Boundary: Seven Decades of Controversy in Quantum Physics", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xii + 244", year = "1995", ISBN = "0-8176-3785-0, 3-7643-3785-0", LCCN = "QC173.98.W53 1995", bibdate = "Thu Dec 28 12:02:27 1995", price = "US\$49.50", URL = "http://www.birkhauser.com/Books/wick/summary.htm", acknowledgement = ack-nhfb, keywords = "Maple", } @Article{Wills:1995:LFI, author = "Randall Wills and Steve Ligh", title = "On Linear Functions {II}", journal = j-MATH-COMP-EDU, volume = "29", number = "1", pages = "32--??", month = "Winter", year = "1995", CODEN = "MCEDDA", ISSN = "0730-8639", bibdate = "Fri Apr 12 10:01:05 1996", abstract = "Several interesting properties of the set of linear functions defined over $R$ that are usually not mentioned in our undergraduate curriculum. The software package Maple is used to illustrate some examples.", acknowledgement = ack-nhfb, } @Article{Xu:1995:SPB, author = "Kedai Xu", title = "Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using {MAPLE}", journal = j-MATH-COMP-SIM, volume = "38", number = "1-3", pages = "199--209", year = "1995", CODEN = "MCSIDR", ISSN = "0378-4754", MRclass = "34C23 (34-04 34C20 34F05 58F14 70L05), 34C23 (34F05 58Fxx)", MRnumber = "MR1341173 (96c:34080)", bibdate = "Thu Dec 28 10:25:43 1995", note = "Probabilit{\'e}s num{\'e}riques (Paris, 1992)", acknowledgement = ack-nhfb, fjournal = "Mathematics and Computers in Simulation", keywords = "Maple", } @Article{Yan:1995:PTL, author = "S. Y. Yan", title = "Primality testing of large numbers in {Maple}", journal = j-COMP-MATH-APPL, volume = "29", number = "12", pages = "1--8", month = jun, year = "1995", CODEN = "CMAPDK", ISSN = "0898-1221", MRclass = "11Y11 (65C99)", MRnumber = "MR1329593 (96a:11143)", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "Compendex database", abstract = "Primality testing of large numbers is very important in many areas of mathematics, computer science and cryptography, and in recent years, many of the modern primality testing algorithms have been incorporated in Computer Algebra Systems (CAS) such as Axiom and Maple as a standard. In this paper, we discuss primality testing of large numbers in Maple V Release 3, a Maple version newly released in 1994. Our computation experience shows that the Maple primality testing facility is prime, based on a combined use of a strong pseudoprimality test and a Lucas test, is efficient and reliable.", acknowledgement = ack-nhfb, affiliation = "Univ of York", affiliationaddress = "York, Engl", classification = "721.1; 723.2; 723.5; 921.1; 921.6", fjournal = "Computers \& Mathematics with Applications. An International Journal", journalabr = "Comput Math Appl", keywords = "Algebra; Axiom; Computer algebra systems; Computer applications; Computer science; Cryptography; Decoding; Elliptic curve test; Encoding (symbols); Large numbers; Lucas test; Maple; Mathematical techniques; Modern integer factorization method; Number theory; Primality testing; Probable primes; Security of data; Strong pseudoprimality test", } @InProceedings{Zima:1995:SOT, author = "Eugene V. Zima", title = "Simplification and Optimization Transformations of Chains of Recurrences", crossref = "Levelt:1995:IIS", pages = "42--50", 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/p42-zima/", abstract = "The problem of expediting the evaluation of closed-form functions at regular intervals is considered. The chain of recurrences technique to expedite computations is extended by rational simplifications and examined as a form of internal representation, oriented towards fast evaluation. Optimizing transformations of chains of recurrences are proposed.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. Math. and Cybern., Moscow State Univ., Russia", classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques); C7310 (Mathematics computing)", keywords = "algebraic computation; algorithms; Chains of recurrences; Closed-form functions; Internal representation, ISSAC; languages; Optimization transformations; Rational simplifications; Regular intervals; symbolic computation; theory", 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, Simplification of expressions. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", thesaurus = "Optimisation; Symbol manipulation", } @Book{Zimmermann:1995:CFP, author = "P. Zimmermann and B. Salvy and C. Gomez", title = "Calcul formel pour scientifiques (Exemples en {Maple})", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "????", year = "1995 (??)", bibdate = "Wed Aug 30 09:52:25 1995", acknowledgement = ack-nhfb, } @InCollection{Ablamowicz:1996:CAC, author = "Rafa{\l} Ab{\l}amowicz", booktitle = "Clifford (geometric) algebras (Banff, AB, 1995)", title = "Clifford algebra computations with {Maple}", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "463--501", year = "1996", MRclass = "15A66 (15-04)", MRnumber = "MR1411025", bibdate = "Sat Apr 16 17:29:15 2005", } @Book{Ablamowicz:1996:CAN, editor = "Rafa{\'e}l Ablamowicz and Pertti Lounesto and Josep M. Parra", title = "{Clifford} algebras with numeric and symbolic computations", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xvii + 322", year = "1996", ISBN = "0-8176-3907-1, 3-7643-3907-1", LCCN = "QC20.7.C55C565 1996", bibdate = "Wed Jul 23 09:35:23 1997", price = "US\$59.50", acknowledgement = ack-nhfb, } @InProceedings{Abramov:1996:DSI, author = "Sergei A. Abramov and Eugene V. Zima", title = "{D'Alembertian} solutions of inhomogeneous linear equations (differential, difference, and some other)", crossref = "LakshmanYN:1996:IPI", pages = "232--240", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p232-abramov/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation; theory; verification", subject = "{\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms, Algebraic algorithms. {\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.", } @Book{Adams:1996:AC, author = "S. Adams and B. Horn", title = "{Anton}'s Calculus", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "????", year = "1996", ISBN = "????", LCCN = "????", bibdate = "Sat Mar 09 08:33:29 1996", acknowledgement = ack-nhfb, } @Book{Anonymous:1996:MV, author = "Anonymous", title = "{Maple V}", publisher = pub-WATERLOO-MAPLE-SOFTWARE, address = pub-WATERLOO-MAPLE-SOFTWARE:adr, edition = "Student version, release 4. Power edition, Windows and Macintosh CD-ROM", pages = "1 learning guide, 1 disk", year = "1996", ISBN = "0-387-14232-0", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, } @InCollection{Anonymous:1996:M, author = "Anonymous", title = "Maple", crossref = "Ross:1996:HSE", year = "1996", pages = "877--898", acknowledgement = ack-nhfb, bibdate = "Fri Aug 31 16:17:27 2007", } @Article{Anonymous:1996:MVP, author = "Anonymous", title = "{Maple V} package for field theoretic {Poisson} brackets using object-oriented techniques", journal = j-COMP-PHYS-COMM, volume = "96", number = "2-3", pages = "209--216", month = aug, year = "1996", CODEN = "CPHCBZ", ISSN = "0010-4655", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database", abstract = "In the theory of bosonic fields the calculation of Poisson brackets poses interesting technical problems using a symbolic calculus product such as Maple V. This article demonstrates how object-oriented techniques can be introduced to solve this problem and to obtain a neat and clearly structured Maple V package.", acknowledgement = ack-nhfb, affiliation = "Max-Planck-Inst f{\"u}r Physik", affiliationaddress = "Ger", classification = "723.1; 723.4", journalabr = "Comput Phys Commun", keywords = "Bosonic field theory; Object oriented programming; Poisson brackets; Problem solving; Software package Maple V; Theorem proving", } @Article{Anonymous:1996:SAN, author = "Anonymous", title = "{Splice}: An analytical network analysis software", journal = j-IEEE-TRANS-EDUC, volume = "39", number = "3", pages = "394--398", month = aug, year = "1996", CODEN = "IEEDAB", ISSN = "0018-9359", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database", abstract = "Splice is a symbolic circuit analysis program that operates under the Windows operating system. At the present time, Splice is the only commercially available software that will perform this type of analysis. A description of the features found in Splice 1.0 and examples to illustrate them is presented. Splice works with The Design Center circuit simulator available from the MicroSim Corporation. The user adds special `analysis symbols' to the circuit schematic that instruct Splice to perform a specific type of analysis. The analysis symbols are transparent to PSpice, giving the user the option to simulate the network at any time. Splice is powered internally by the Waterloo Maple Software algebraic engine and will analyze many types of linear and linearized electrical networks consisting of inductors (with initial conditions), capacitors (with initial conditions), resistors, transformers, transistors (bipolar and field-effect), operational amplifiers, and all types of ac and dc (independent and dependent) current and voltage sources. Splice will perform branch current, nodal voltage, Thevenin reduction, transfer function, and two-port reduction analysis with options for component substitutions (both numeric and\slash or symbolic including zero and infinity), pole and zero calculations, sinusoidal steady-state analysis, and time domain result calculations. Potential classroom applications of Splice 1.0, as well as future enhancements of the software, are presented and discussed.", acknowledgement = ack-nhfb, affiliation = "CaaGE Software", affiliationaddress = "MO, USA", classification = "703.1; 703.1.1; 722.2; 723; 723.5; 921", journalabr = "IEEE Trans Educ", keywords = "Branch current; Computer aided network analysis; Computer operating systems; Computer simulation; Graphical user interfaces; Nodal voltage; Schematic diagrams; Software package Splice; Software package Windows; Thevenin reduction; Transfer functions; Waterloo Maple software algebraic engine", } @Article{Aschenwald:1996:MMP, author = "D. Aschenwald and T. Siegl and R. F. Tichy", title = "{MAPinsure} ---{A} {MAPLE} Package for Life Insurance", journal = j-J-SYMBOLIC-COMP, volume = "22", number = "2", pages = "227--234", month = aug, year = "1996", CODEN = "JSYCEH", ISSN = "0747-7171", bibdate = "Wed Mar 19 13:51:24 MST 1997", acknowledgement = ack-nhfb, classcodes = "C7120 (Financial computing); C7310 (Mathematics computing)", corpsource = "Inst. f{\"u}r Math. A, Tech. Univ. Graz, Austria", keywords = "actuarial concepts; insurance data processing; life insurance; manipulation; MAPinsure; MAPLE package; mathematics; mathematics computing; symbol; teaching; training", treatment = "T Theoretical or Mathematical", } @Article{Aslaksen:1996:MCF, author = "Helmer Aslaksen", title = "Multiple-Valued Complex Functions and Computer Algebra", journal = j-SIGSAM, volume = "30", number = "2", pages = "12--20", month = jun, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing)", corpsource = "Dept. of Math., Nat. Univ. of Singapore, Singapore", keywords = "branches; complex logarithm; computer algebra; Derive; exponential functions; function; functions; Maple; Mathematica; mathematics computing; multiple-valued complex functions; Reduce; symbol manipulation; transformation rules", treatment = "T Theoretical or Mathematical", } @InProceedings{Bacher:1996:AGO, author = "Rainer Bacher", title = "Automatic Generation of Optimization Code Based on Symbolic Non-Linear Domain Formulation", crossref = "LakshmanYN:1996:IPI", pages = "283--291", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p283-bacher/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation", 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, Sparse, structured, and very large systems (direct and iterative methods). {\bf G.1.6} Mathematics of Computing, NUMERICAL ANALYSIS, Optimization. {\bf G.2.2} Mathematics of Computing, DISCRETE MATHEMATICS, Graph Theory, Network problems. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple.", } @Article{Bardell:1996:FIV, author = "N. S. Bardell and R. S. Langley and J. M. Dunsdon", title = "On the free in-plane vibration of isotropic rectangular plates", journal = j-J-SOUND-VIB, volume = "191", number = "3", pages = "459--467", month = apr, year = "1996", CODEN = "JSVIAG", ISSN = "0022-460X", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database", abstract = "Although the in-plane modes of a plate occur at relatively high frequencies, they may nonetheless be important from a design point of view. It has recently been shown that in-plane vibration can play a major role in the transmission of high frequency vibration through a built-up structure, and any credible analysis technique must take due account of the presence of these vibrations. This paper provides a number of results against which any analysis method for in-plane vibrations can be validated.", acknowledgement = ack-nhfb, affiliation = "Univ of Southampton", affiliationaddress = "Southampton, Engl", classification = "408.2; 921; 921.1; 921.6; 931.1", journalabr = "J Sound Vib", keywords = "Boundary conditions; Calculations; Computer algebra package Maple; Constitutive relationship; Convergence of numerical methods; Degrees of freedom (mechanics); Displacement functions; Free inplane vibration; Frequencies; Functions; Hermite cubics; Inplane shear strain; Isotropic rectangular plates; Matrix algebra; Numerical methods; Oscillations; Plates (structural components); Polynomials; Rayleigh-Ritz method; Strain; Vibrations (mechanical)", } @Book{Barrow:1996:SOM, author = "David Barrow", title = "Solving {ODEs} with {Maple V}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Preliminary", pages = "viii + 154", year = "1996", ISBN = "0-534-34402-X", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Maple (Computer file); Differential equations -- Numerical solutions -- Computer; programs.", } @Book{Bauldry:1996:CPM, author = "W. C. Bauldry and Joseph R. Fiedler", title = "Calculus Projects with {Maple}", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "xx + 233", year = "1996", ISBN = "0-534-23748-7", LCCN = "QA303.5.D37B38 1996", bibdate = "Sat Mar 09 08:35:39 1996", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Calculus -- Data processing", } @Book{Bauldry:1996:PMM, author = "W. C. Bauldry", title = "{PreCalculus} Math and {Maple}", publisher = pub-WCB, address = pub-WCB:adr, pages = "????", year = "1996", ISBN = "????", LCCN = "????", bibdate = "Sat Mar 09 08:34:28 1996", acknowledgement = ack-nhfb, } @InCollection{Baylis:1996:PAC, author = "W. E. Baylis", booktitle = "{Clifford} algebras with numeric and symbolic computations", title = "{Pauli}-algebra calculations in {MAPLE V}", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "69--82", year = "1996", MRclass = "15A66", MRnumber = "MR1398889", bibdate = "Sat Apr 16 17:29:37 2005", } @Article{Bernardin:1996:RSS, author = "L. Bernardin", title = "A Review of Symbolic Solvers", journal = j-SIGSAM, volume = "30", number = "1", pages = "9--20", month = mar, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics computing); C6130 (Data handling techniques)", corpsource = "Inst. for Sci. Comput., Eidgenossische Tech. Hochschule, Zurich, Switzerland", keywords = "algebraic; Axiom 2.0; computer algebra system; Derive 3.06; equation solving; general; Macsyma 420; Maple; Mathematica 2.2; purpose systems; Reduce 3.6; review; software reviews; symbol manipulation; symbolic solvers; transcendental equation solving; V R4", treatment = "P Practical; R Product Review", } @Book{Braselton:1996:CLU, author = "James P. Braselton and John W. Davenport and Arthur G. Sparks", title = "Calculus labs using {Maple V}", publisher = pub-AW, address = pub-AW:adr, pages = "????", year = "1996", ISBN = "0-673-99814-2", LCCN = "QA303.5.C65B73 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "Compatible with Maple V Release 3.", keywords = "Maple (Computer file); Calculus -- Computer-assisted instruction.", } @Book{Chandler:1996:OM, author = "E. Chandler", title = "{ODE}'s and {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1996", ISBN = "????", LCCN = "????", bibdate = "Sat Mar 09 08:41:33 1996", acknowledgement = ack-nhfb, } @Book{Cheung:1996:EMC, author = "C. K. Cheung and William G. Multivariable calculus McCallum and Tim. Murdoch and G. E. Keough", title = "Exploring multivariable calculus with {Maple} to accompany {Multivariable calculus, preliminary edition, [by] William G. McCallum, Deborah Hughes-Hallett, Andrew M. Gleason}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "228", year = "1996", ISBN = "0-471-13753-7 (paperback)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Calculus -- Computer-assisted instruction; Calculus -- Use of -- Calculating equipment", } @Book{Chiang:1996:MP, author = "K. Chiang and H. T. Man", title = "{Maple} for Physicists", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1996", ISBN = "????", LCCN = "????", bibdate = "Sat Mar 09 08:42:22 1996", acknowledgement = ack-nhfb, } @Article{Comello:1996:PST, author = "Vic Comello", title = "Physics Software That's Suitable for Engineers, Too", journal = j-RES-DEV, volume = "38", number = "13", pages = "36--38, 40", month = dec, year = "1996", CODEN = "REDEEA", ISSN = "0746-9179", bibdate = "Fri Nov 29 10:43:51 1996", note = "Reviews several software packages, including some from Mathematica and Maple.", } @Book{Connell:1996:DEM, author = "Howard J. (Howard John) Connell", title = "Differential equations {A}: {Maple} laboratory handbook", publisher = "Mathematics Dept., RMIT", address = "Melbourne, Victoria, Australia", pages = "70 + xiv", month = feb, year = "1996", ISBN = "0-86444-562-8", ISSN = "1039-5040", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", series = "RMIT lecture notes in mathematics", acknowledgement = ack-nhfb, alttitle = "Maple laboratory handbook.", annote = "Consistent with Version V Release 3 of Maple.", keywords = "Maple (Computer file); Mathematics -- Study and teaching (Higher) -- Victoria --; Problems, exercises, etc.; Differential equations.", } @Book{Coombes:1996:DEM, author = "Kevin Robert Coombes and others", title = "Differential equations with {Maple}", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "v + 232", year = "1996", ISBN = "0-471-10875-8", LCCN = "QA371.5.D37D53 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Maple (Computer file); Differential equations -- Numerical solutions -- Data processing; Differential equations -- Use of -- Computers", } @Article{Corless:1996:ABD, author = "R. M. Corless", title = "{Abell and Braselton's Differential Equations with Maple V}", journal = j-SIGSAM, volume = "30", number = "1", pages = "57--??", month = "????", year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Fri Aug 16 13:12:40 MDT 1996", acknowledgement = ack-nhfb, } @Article{Corless:1996:ECG, author = "Robert M. Corless", title = "Editor's Corner: {Gr{\"o}bner} bases and matrix eigenproblems", journal = j-SIGSAM, volume = "30", number = "4", pages = "26--32", month = dec, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Thu Mar 20 16:02:15 MST 1997", acknowledgement = ack-nhfb, classcodes = "C4140 (Linear algebra)", keywords = "eigenvalues and eigenfunctions; polynomial matrices; Gr{\"o}bner bases; matrix eigenproblems; Maple routine; multiplication matrices; residue class ring; multivariate; polynomial equations; total degree ordering; lexicographic; order case; lex order basis; zero-dimensional case; Kronecker canonical forms", treatment = "T Theoretical or Mathematical", } @InCollection{Cyganowski:1996:MPS, author = "S. Cyganowski", booktitle = "Computational techniques and applications: CTAC95 (Melbourne, 1995)", title = "A {MAPLE} package for stochastic differential equations", publisher = "World Sci. Publishing", address = "River Edge, NJ", pages = "223--230", year = "1996", MRclass = "65-04 (65U05)", MRnumber = "MR1664851", bibdate = "Sat Apr 16 17:30:20 2005", } @Article{deJager:1996:SSC, author = "Bram {de Jager} and Bram {van Asch}", title = "Symbolic Solutions for a Class of Partial Differential Equations", journal = j-J-SYMBOLIC-COMP, volume = "22", number = "4", pages = "459--468", month = oct, year = "1996", CODEN = "JSYCEH", ISSN = "0747-7171", MRclass = "65M99 (68Q40 93B40)", MRnumber = "1 428 837", bibdate = "Sat May 10 15:54:09 MDT 1997", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290K (Nonlinear and functional equations); C4170 (Differential equations); C4150 (Nonlinear and functional equations); C7310 (Mathematics computing); C6130 (Data handling techniques)", corpsource = "Eindhoven Univ. of Technol., Netherlands", keywords = "complexity; computer algebra; constructive proof; Frobenius' Theorem; manipulation; nonlinear equations; partial differential equations; symbol; symbolic solutions; system Maple", treatment = "P Practical; T Theoretical or Mathematical", } @Book{Douillet:1996:MAM, author = "Pierre Douillet", title = "Maths avec {MAPLE}. Tome 2", publisher = "Ellipses", address = "Paris, France", pages = "239", year = "1996", ISBN = "2-7298-5631-5", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, alttitle = "MAPLE.", annote = "Consacr{\'e} notamment aux polynomes orthogonaux.", keywords = "Maple (Logiciel)", } @Book{Edwards:1996:CPD, author = "C. H. {Edwards, Jr.} and David E. Penney", title = "Computing Projects for Differential Equations: Computing and Modeling", publisher = pub-PH, address = pub-PH:adr, pages = "304", year = "1996", ISBN = "0-13-504465-0", bibdate = "Wed Aug 30 09:22:43 1995", note = "Lab supplement to \cite{Edwards:1996:DEB}.", URL = "http://www.prenhall.com/books/esm_0135044650.html", acknowledgement = ack-nhfb, } @Book{Edwards:1996:DEB, author = "C. H. {Edwards, Jr.} and David E. Penney", title = "Differential Equations and Boundary Value Problems: Computing and Modeling", publisher = pub-PH, address = pub-PH:adr, pages = "718", year = "1996", ISBN = "0-13-382094-7", LCCN = "QA371.E28 1996", bibdate = "Fri Jul 25 11:37:32 1997", note = "See also lab supplement \cite{Edwards:1996:CPD}.", URL = "http://www.prenhall.com/books/esm_0133820947.html", acknowledgement = ack-nhfb, annote = "Uses Maple, Matlab, and Mathematica.", } @Book{Ellis:1996:MVE, author = "Wade Ellis", title = "{Maple V} edition {\'e}tudiant: version 4", publisher = "International Thomson Publishing France", address = "Paris, France", pages = "xiv + 172", year = "1996", ISBN = "2-84180-032-6", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "Trad. de : ``Maple V flight manual release 4''.", keywords = "Maple (logiciel); Calcul formel.", } @Book{Ellis:1996:MVF, author = "Wade {Ellis, Jr.} and E. Johnson and E. Lodi and D. Schwalbe", title = "{Maple V} Flight Manual: Tutorials for Calculus, Linear Algebra, and Differential Equations", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "????", year = "1996", ISBN = "????", LCCN = "????", bibdate = "Sat Mar 09 09:05:22 1996", acknowledgement = ack-nhfb, } @Book{Fattahi:1996:MVC, author = "Abi Fattahi", title = "{Maple V} Calculus Labs", publisher = pub-BROOKS-COLE, address = pub-BROOKS-COLE:adr, edition = "Second", pages = "vii + 100", year = "1996", ISBN = "0-534-26208-2", LCCN = "QA303.5.D37F38 1996", bibdate = "Tue Aug 22 17:44:07 1995", price = "US\$13.95", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Maple (Computer file); Calculus -- Data processing; Calculus", } @Book{Grossman:1996:SJC, author = "Nathaniel Grossman", title = "The Sheer Joy of Celestial Mechanics", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "159", year = "1996", ISBN = "0-8176-3832-6, 3-7643-3832-6", LCCN = "QB351.G69 1995", bibdate = "Thu Dec 28 12:16:18 1995", price = "US\$34.50", URL = "http://www.birkhauser.com/Books/grossman/summary.htm", acknowledgement = ack-nhfb, } @Book{Hagin:1996:CM, author = "Frank G. Hagin and Jack K. Cohen", title = "Calculus with {Maple}", publisher = pub-PH, address = pub-PH:adr, pages = "x + 125", year = "1996", ISBN = "0-13-518994-2", LCCN = "QA303.5.C65H34 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Calculus -- Computer-assisted instruction.", } @Book{Heal:1996:EMV, author = "K. M. Heal and M. L. Hansen and K. M. Rickard", title = "{Einf{\"u}hrung in Maple V}", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 280 + 4", year = "1996", ISBN = "3-540-60545-2", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "German translation of: Maple V learning guide \cite{Heal:1996:MVL}.", keywords = "Maple (Computer file); Maple (Fichier d'ordinateur); Mathematics -- Computer programs; Mathematics -- Data processing; Math{\'e}matiques -- Logiciels; Math{\'e}matiques -- Informatique.", } @Book{Heal:1996:MVL, author = "K. M. Heal and M. L. Hansen and K. M. Rickard", title = "{Maple V} Learning Guide", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 269", year = "1996", ISBN = "0-387-94536-9, 0-387-94575-X (software boxed version)", LCCN = "QA155.7.E4H42 1996", bibdate = "Wed Oct 02 15:53:34 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{Healy:1996:DEB, author = "W. P. Healy", title = "Differential equations {B}: Maple laboratory handbook", publisher = "Mathematics Department, RMIT", address = "Melbourne, Victoria, Australia", edition = "Second", pages = "vi + 67 + xix", year = "1996", ISBN = "0-86444-588-1", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", series = "RMIT lecture notes in mathematics", acknowledgement = ack-nhfb, alttitle = "Maple laboratory handbook", keywords = "Differential equations -- Data processing.", } @Book{Heck:1996:IM, author = "Andr{\'e} Heck", title = "Introduction to {Maple}", publisher = pub-SV, address = pub-SV:adr, edition = "Second", pages = "xx + 699", year = "1996", ISBN = "0-387-94535-0", LCCN = "QA155.7.E4H43 1996", MRclass = "68Q40", MRnumber = "MR1405611 (97c:68076)", bibdate = "Tue Jun 06 17:57:02 1995", price = "US\$39.95", acknowledgement = ack-nhfb, } @Book{Israel:1996:CMW, author = "Robert B. Israel", title = "Calculus the {Maple} Way", publisher = pub-AW, address = pub-AW:adr, pages = "????", year = "1996", ISBN = "0-201-82829-4", LCCN = "????", bibdate = "Sat Mar 09 08:53:56 1996", acknowledgement = ack-nhfb, } @MastersThesis{Jones:1996:FMC, author = "Kevin Rowe Jones", title = "A fuzzy mathematical computation package for {Maple}", type = "Thesis (M. Eng.)", school = "Department of Engineering Mathematics and Computer Science, University of Louisville", address = "Louisville, KY, USA", pages = "x + 168", year = "1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, } @Book{Judson:1996:CEU, author = "Phoebe Judson", title = "Calculus explorations using {Maple}", publisher = pub-SAUNDERS, address = pub-SAUNDERS:adr, pages = "148", year = "1996", ISBN = "0-03-017434-1", LCCN = "QA303.5.C65J83 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Calculus -- Computer-assisted instruction.", } @InProceedings{Kavian:1996:MPR, author = "Masoud Kavian and R. G. McLenaghan and K. O. Geddes", title = "{MapleTensor}: Progress Report on a New System for Performing Indicial and Component Tensor Calculations Using Symbolic Computation", crossref = "LakshmanYN:1996:IPI", pages = "204--211", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p204-kavian/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; design; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation", subject = "{\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf I.1.2} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Algorithms. {\bf D.3.2} Software, PROGRAMMING LANGUAGES, Language Classifications, C++. {\bf I.1.1} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Expressions and Their Representation, Simplification of expressions.", } @Book{Krob:1996:IAC, author = "Daniel Krob and Stephane Legros", title = "Introduction au calcul symbolique et aux math{\'e}matiques exp{\'e}rimentales. Tome 1, Le syst{\`e}me {Maple}", publisher = "International Thomson Publishing France", address = "Paris, France", pages = "xxi + 354", year = "1996", ISBN = "2-84180-038-5", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", series = "Passeport pour l'informatique", acknowledgement = ack-nhfb, alttitle = "Le syst{\`e}me Maple.", keywords = "Maple (logiciel); Calcul formel -- Informatique; Calcul operationnel -- Informatique", } @InProceedings{Kugi:1996:OOA, author = "A. Kugi and K. Schlacher and M. Kaltenbacher", booktitle = "Proceedings of the 1996 3rd International Conference on Software for Electrical Engineering Analysis and Design, ELECTROSOFT'96", title = "Object oriented approach for large circuits with substructures in the computer algebra program {Maple V}", publisher = pub-ACM, address = pub-ACM:adr, pages = "491--500", year = "1996", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database", abstract = "This paper is concerned with the symbolic derivation and solution of the minimal set of network equations in MapleV. By means of the table environment of Maple V it is possible to realize the essential features of an object oriented design. All considered linear electric terminals are arranged in a class hierarchy using the principle of multiple inheritance. The network algorithm for setting up the equations is based on the recursive graph searching method depth first. The algorithm is extended by a special substructure technique, in order to be able to calculate complex networks with a higher number of network elements. Finally, the feasibility of the proposed approach will be demonstrated by two application examples.", acknowledgement = ack-nhfb, affiliation = "Johannes Kepler Univ", affiliationaddress = "Linz Auhof, Austria", classification = "703.1; 723.1; 921.1; 921.2; 921.4; 921.6", keywords = "Algebra; Algorithms; Circuit theory; Computer algebra program; Differential equations; Graph theory; Networks (circuits); Object oriented programming; Principle of multiple inheritance; Recursive graph search method; Software Package Maple V; Terminals (electric); Transfer functions", meetingabr = "Proc 1996 3 Int Conf Software Electr Eng Anal Des ELECTROSOFT 96", meetingaddress = "Pisa, Italy", meetingdate = "May 1996", meetingdate2 = "05/96", } @Book{Lawson:1996:MLL, author = "Terry Lawson and Robert J. Lopez", title = "{Maple} labs for linear algebra", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "vi + 112", year = "1996", ISBN = "0-471-13594-1 (paperback)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Algebras, Linear; Linear algebra -- Use of -- Computers", } @InProceedings{Lu:1996:SCD, author = "X. Y. Lu and S. K. Spurgeon", editor = "{IEE}", booktitle = "IEE Colloquium on Symbolic Computation for Control (Digest No: 1996/078), 2 April 1996", title = "Symbolic computation for dynamic sliding mode controller design", publisher = pub-IEE, address = pub-IEE:adr, pages = "4/1--4/5", year = "1996", ISBN = "????", LCCN = "????", bibdate = "Thu Jul 26 05:45:21 2001", bibsource = "IEEE Xplore database", acknowledgement = ack-nhfb, keywords = "Mathematica; Maple; MACSYMA; Reduce", } @Article{Monagan:1996:MSI, author = "M. Monagan", title = "{MapleTech} Special Issue", journal = j-SIGSAM, volume = "30", number = "1", pages = "63--63", month = mar, year = "1996", CODEN = "SIGSBZ", ISSN = "0163-5824", bibdate = "Fri Sep 06 07:11:07 1996", acknowledgement = ack-nhfb, } @Book{Monagan:1996:MVP, author = "M. B. Monagan and K. O. Geddes and K. M. Heal and G. Labahn and S. Vorkoetter", title = "{Maple V} Programming Guide", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 379", year = "1996", ISBN = "0-387-94537-7, 0-387-94576-8", LCCN = "QA76.95.M363 199", bibdate = "Sat Mar 09 09:19:45 1996", note = "With the editorial assistance of J. S. Devitt, M. L. Hansen, D. Redfern, and K. M. Rickard.", price = "US\$34.00", acknowledgement = ack-nhfb, } @Book{Monagan:1996:PMV, author = "Michael B. (Michael Burnett) Monagan and John Stanley Devitt", title = "{Programmieren mit Maple V}", publisher = pub-SV, address = pub-SV:adr, pages = "xi + 400", year = "1996", ISBN = "3-540-60544-4", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "German translation of: Maple V programming guide.", keywords = "Maple (Computer file); Maple (Fichier d'ordinateur); Mathematics -- Computer programs; Mathematics -- Data processing; Math{\'e}matiques -- Logiciels; Math{\'e}matiques -- Informatique", } @Book{Nicolaides:1996:MCI, author = "Roy A. Nicolaides and Noel Walkington", title = "{Maple}: a comprehensive introduction", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xix + 466", year = "1996", ISBN = "0-521-56230-9", LCCN = "QA76.95.N53 1996", bibdate = "Wed Oct 02 15:51:50 1996", note = "Covers Maple V.4.", price = "US\$39.95", acknowledgement = ack-nhfb, } @InCollection{Osetrova:1996:MPF, author = "T. A. Osetrova", booktitle = "Complex analysis and differential equations (Russian)", title = "{MAPLE}---procedures for finding the resultants of systems of nonlinear algebraic equations", publisher = "Krasnoyarsk. Gos. Univ.", address = "Krasnoyarsk", pages = "163--174", year = "1996", MRclass = "12Y05", MRnumber = "MR1730293", bibdate = "Sat Apr 16 17:30:24 2005", } @InCollection{Rabotin:1996:MPD, author = "V. V. Rabotin", booktitle = "Complex analysis and differential equations (Russian)", title = "{MAPLE}---a program for determining the {Hodge} number of three-dimensional {Calabi-Yau} varieties", publisher = "Krasnoyarsk. Gos. Univ.", address = "Krasnoyarsk", pages = "175--183", year = "1996", MRclass = "14J32 (14-04)", MRnumber = "MR1730294", bibdate = "Sat Apr 16 17:30:27 2005", } @Book{Redfern:1996:MDL, author = "Darren Redfern and Ed Chandler", title = "{Maple O.D.E.} lab book", publisher = pub-SV, address = pub-SV:adr, pages = "ix + 160", year = "1996", ISBN = "0-387-94733-7 (softcover)", LCCN = "QA371.5.D37R43 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "System requirements for accompanying computer disk: MS-DOS format diskette.", keywords = "Maple (Computer file); Differential equations -- Numerical solutions -- Data processing.", } @Book{Redfern:1996:MH, author = "Darren Redfern", title = "The {Maple} Handbook: {Maple V} Release 4", publisher = pub-SV, address = pub-SV:adr, pages = "495", year = "1996", ISBN = "0-387-94538-5, 0-387-94622-5", LCCN = "QA76.95.R43 1996", bibdate = "Wed Jul 23 09:42:16 1997", price = "US\$29.00", acknowledgement = ack-nhfb, } @Book{Redfern:1996:PAU, author = "Darren Redfern", title = "The Practical Approach, Utilities for {Maple}", publisher = pub-SV, address = pub-SV:adr, pages = "????", year = "1996", ISBN = "0-387-14225-8", LCCN = "????", bibdate = "Wed Jul 23 09:42:22 1997", acknowledgement = ack-nhfb, } @InCollection{Reitberger:1996:MAP, author = "Heinrich Reitberger", booktitle = "Iteration theory (Batschuns, 1992)", title = "A {MAPLE} assisted proof of an assertion in {Misiurewicz}'s theorem on the {Lozi} attractor", publisher = "World Sci. Publishing", address = "River Edge, NJ", pages = "281--283", year = "1996", MRclass = "58F13", MRnumber = "MR1442294", bibdate = "Sat Apr 16 17:30:30 2005", } @InProceedings{Roach:1996:HFR, author = "Kelly Roach", title = "Hypergeometric Function Representations", crossref = "LakshmanYN:1996:IPI", pages = "301--308", year = "1996", bibdate = "Thu Mar 12 08:43:16 MST 1998", bibsource = "http://www.acm.org/pubs/toc/", URL = "http://www.acm.org:80/pubs/citations/proceedings/issac/236869/p301-roach/", acknowledgement = ack-nhfb, keywords = "algebraic computation; algorithms; ISSAC; languages; SIGNUM; SIGSAM; symbolic computation; theory; verification", 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, MACSYMA. {\bf I.1.3} Computing Methodologies, SYMBOLIC AND ALGEBRAIC MANIPULATION, Languages and Systems, Maple. {\bf G.4} Mathematics of Computing, MATHEMATICAL SOFTWARE, Mathematica.", } @Book{Robertson:1996:EMM, author = "John S. Robertson", title = "Engineering Mathematics with {Maple}", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xiv + 278", year = "1996", ISBN = "0-07-053120-X", LCCN = "TA345 .R58 1996", bibdate = "Wed Aug 30 09:49:46 1995", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Engineering mathematics -- Data processing", } @MastersThesis{Sadr:1996:MPS, author = "Amir H. Sadr", title = "A {Maple} package for a small pattern graph enumerations", type = "Thesis (M.S.)", school = "University of Kentucky", address = "Lexington, KY, USA", pages = "vii + 77", year = "1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Eulerian graph theory -- Data processing; Matrices -- Data processing", } @Article{Sanchez:1996:MMS, author = "Nestor E. Sanchez", title = "The Method of Multiple Scales: Asymptotic Solutions and Normal Forms for Nonlinear Oscillatory Problems", journal = j-J-SYMBOLIC-COMP, volume = "21", number = "2", pages = "245--252", month = feb, year = "1996", CODEN = "JSYCEH", ISSN = "0747-7171", MRclass = "34E20 (34-04)", MRnumber = "1 394 605", bibdate = "Sat May 10 15:54:09 MDT 1997", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations); C6130 (Data handling techniques); C7310 (Mathematics computing)", corpsource = "Div. of Eng., Texas Univ., San Antonio, TX, USA", keywords = "asymptotic solution; asymptotic solutions; differential equations; Duffing type oscillators; Maple V Release 2; mathematics computing; multiple scales; near-identity coordinate; nonlinear oscillatory problems; normal forms; ODEs; partial differential equations; PDEs; symbol manipulation; transformation; uniform; weakly nonlinear oscillator", treatment = "P Practical; T Theoretical or Mathematical", } @Book{Schori:1996:MLM, author = "Richard M. Schori and Todd S. Coffey and Lawrence C. Moore and David A. (David Alexander) Smith", title = "{Maple} laboratory manual for {Calculus: modeling and application}", publisher = pub-HEATH, address = pub-HEATH:adr, pages = "vi + 380", year = "1996", ISBN = "0-669-32794-8", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, alttitle = "Maple laboratory manual to accompany Calculus: modeling and application", annote = "This lab manual was designed as a supplement to the text Calculus: Modeling and Application by David A. Smith and Lawrence C. Moore", keywords = "Maple (Computer file); Calculus -- Computer-assisted instruction; Calculus -- Laboratory manuals.", } @Book{Soto:1996:MCM, author = "Manuel J. Soto and Jose Luis {Vicente Cordoba}", title = "Matematicas con {Maple}", publisher = pub-AW-IBEROAMERICANA, address = pub-AW-IBEROAMERICANA:adr, pages = "viii + 281", year = "1996", ISBN = "0-201-65397-4, 0-201-65398-2 (disk)", LCCN = "QA76.95.S67 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Mathematics -- Data processing.", } @Article{Stenger:1996:BRS, author = "Frank Stenger", title = "Book Reviews: {{\em Solving Problems in Scientific Computing Using MAPLE and MATLAB}}, by {Walter Gander} and {J{\'\i}r{\'\i} Hreb{\'\i}cek}", journal = j-MATH-COMPUT, volume = "65", number = "214", pages = "880--882", month = apr, year = "1996", CODEN = "MCMPAF", ISSN = "0025-5718", bibdate = "Mon Jul 26 11:57:34 1999", bibsource = "http://www.ams.org/mcom/1996-65-214", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00700-4&u=/mcom/1996-65-214/", acknowledgement = ack-nhfb, } @Book{Tocci:1996:AME, author = "Christopher Tocci and Steven G. Adams", title = "Applied {Maple} for engineers and scientists", publisher = pub-ARTECH, address = pub-ARTECH:adr, pages = "xvii + 406", year = "1996", ISBN = "0-89006-853-4", LCCN = "TA345.T63 1996", bibdate = "Fri May 21 07:14:52 MDT 1999", series = "The Artech House computer science library series", acknowledgement = ack-nhfb, annote = "System requirements: IBM compatible PC.", keywords = "Maple (Computer file); Engineering mathematics -- Data processing; Science -- Mathematics -- Data processing.", } @Article{Welfert:1996:ANM, author = "Bruno D. Welfert and Ricardo Aguilar", title = "Applied numerical methods and graphical visualization", journal = j-COMPUT-APPL-ENG-EDUC, volume = "4", number = "2", pages = "127--143", year = "1996", CODEN = "CAPEED", ISSN = "1061-3773", bibdate = "Wed Dec 18 11:34:40 MST 1996", bibsource = "Compendex database", abstract = "In this article, we describe an interactive, MATLAB-based, platform-independent, educational tool which integrates numerical methods for solving problems ranging from linear algebraic systems to partial differential systems with a graphical user interface. For modularity, the tool is divided into three blocks: (1) a collection of numerical methods, which constitutes the core of the package; (2) a series of examples, problems, and figures, which contributes to the understanding of the applicability of the numerical techniques implemented in the package; and (3) a graphics user interface, which integrates the methods and examples into MATLAB's graphical environment. The numerical methods range in complexity from elementary applications to more complex examples representative of engineering problems of interest. A help facility assists the user with the program features. Sample problems are presented to demonstrate the utility of the program as an educational tool and as a vehicle for introducing students to new numerical concepts and their graphical visualization.", acknowledgement = ack-nhfb, affiliation = "Arizona State Univ", affiliationaddress = "Tempe, AZ, USA", classification = "721.1; 722.2; 723.5; 901.2; 921.1; 921.2", journalabr = "Comput Appl Eng Educ", keywords = "Computational complexity; Computer aided instruction; Computer graphics; Computer simulation; Education computing; Graphical software visualization; Graphical user interfaces; Linear algebra; Numerical methods; Partial differential equations; Software package Maple; Software package Mathematica; Software package Matlab", } @Book{Werner:1996:MLM, author = "Wilhelm Werner", title = "{Mathematik lernen mit Maple: ein Lehr- und Arbeitsbuch f{\"u}r das Grundstudium: Grundlagen, Differentialrechnung, numerische Methoden}", publisher = pub-DPUNKT-VERLAG, address = pub-DPUNKT-VERLAG:adr, edition = "2. {\"u}berarb. und erw. Aufl. mit CD-ROM.", pages = "688", year = "1996", ISBN = "3-920993-43-8", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "CD-ROM: Worksheets, Demo-Version von Maple V, release 4.", keywords = "Maple (Computer file); Mathematics -- Data processing.", } @Misc{WMS:1996:MV, author = "{Waterloo Maple Software}", title = "{Maple V}", publisher = pub-SV, address = pub-SV:adr, edition = "Student, release 4.", pages = "9 computer disks", year = "1996", ISBN = "0-387-14229-0 (disks) 0-387-94536-9, 0-387-94575-X (boxed version)", LCCN = "????", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, annote = "Title from title screen. Additional ed. statement in file: The power ed. Mathematical environment for symbolic and numeric computation, two- and three-dimensional graphics, and programming. Features worksheet-based interface, animation, more than 2,500 built-in functions, and solutions to problems involving piecewise functions. System requirements: Intel 386, 486, Pentium of fully compatible processor; 18 MB of free hard disk space; 8 MB RAM; Windows 3.1x, Windows NT or Windows 95.", keywords = "Mathematics -- Data processing -- Software", } @Article{Wursthorn:1996:RTM, author = "Martin Wursthorn", title = "Representation theory with {MAPLE}: an example", journal = "An. \c Stiin\c t. Univ. Ovidius Constan\c ta Ser. Mat.", volume = "4", number = "1", pages = "197--203", year = "1996", ISSN = "1223-723X", MRclass = "20C40", MRnumber = "MR1407534", bibdate = "Sat Apr 16 17:30:35 2005", note = "Representation theory of groups, algebras, and orders (Constan\c ta, 1995)", fjournal = "Universit\u a\c tii ``Ovidius'' Constan\c ta. Analele \c Stiin\c tifice. Seria Matematic\u a", } @Book{Yeargers:1996:IMB, author = "Edward K. Yeargers and Ronald W. Shonkwiler and James V. Herod", title = "An introduction to the mathematics of biology: with computer algebra models", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "x + 417", year = "1996", ISBN = "0-8176-3809-1, 3-7643-3809-1", LCCN = "QH323.5.Y435 1996", bibdate = "Wed Jul 23 09:28:26 1997", price = "US\$64.50", acknowledgement = ack-nhfb, annote = "Uses the Maple algebra system in every chapter.", } @Book{Zachary:1996:ISP, author = "Joseph Zachary", title = "Introduction to scientific programming: computational problem solving using {Maple} and {C}", publisher = pub-SV, address = pub-SV:adr, pages = "xxiv + 380", year = "1996", ISBN = "0-387-94630-6", LCCN = "QA76.6 .Z32 1996", bibdate = "Tue Mar 25 09:08:38 1997", acknowledgement = ack-nhfb, annote = "System requirements for accompanying computer disk: Maple V Release 3 or 4; ANSI C compiler; Macintosh; Unix or DOS computer capable of reading DOS-formatted high-density diskettes.", keywords = "Maple (Computer file); Computer programming; C (Computer program language)", } @Book{Adams:1997:MT, author = "Steven G. Adams", title = "{Maple} talk", publisher = pub-PH, address = pub-PH:adr, pages = "xx + 236", year = "1997", ISBN = "0-13-237306-8", LCCN = "QA76.95.A28 1997", bibdate = "Fri May 21 07:14:52 MDT 1999", acknowledgement = ack-nhfb, keywords = "Maple (Computer file); Maple (Computer file); Mathematics -- Data processing.", } @Book{Andersson:1997:AMM, author = "Goran Andersson", title = "Applied mathematics with {Maple}", publisher = pub-CHARTWELL-BRATT, address = pub-CHARTWELL-BRATT:adr, pages = "448",