%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.27",
%%% date = "08 April 2017",
%%% time = "10:01:11 MST",
%%% filename = "redextra.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 = "63090 11528 50249 505282",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "Reduce, symbolic algebra",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This bibliography file contains additional
%%% publications about the Reduce symbolic
%%% algebra language, supplementing the
%%% companion files red-a-f.bib, red-g-l.bib,
%%% and red-m-z.bib. This is a stopgap measure
%%% until the latter have been updated.
%%%
%%% At version 2.27, the year coverage looked
%%% like this:
%%%
%%% 1967 ( 1) 1983 ( 14) 1999 ( 0)
%%% 1968 ( 2) 1984 ( 5) 2000 ( 4)
%%% 1969 ( 1) 1985 ( 28) 2001 ( 0)
%%% 1970 ( 0) 1986 ( 16) 2002 ( 7)
%%% 1971 ( 1) 1987 ( 23) 2003 ( 7)
%%% 1972 ( 4) 1988 ( 31) 2004 ( 5)
%%% 1973 ( 4) 1989 ( 52) 2005 ( 2)
%%% 1974 ( 3) 1990 ( 30) 2006 ( 3)
%%% 1975 ( 2) 1991 ( 38) 2007 ( 0)
%%% 1976 ( 5) 1992 ( 21) 2008 ( 1)
%%% 1977 ( 5) 1993 ( 27) 2009 ( 1)
%%% 1978 ( 6) 1994 ( 15) 2010 ( 1)
%%% 1979 ( 9) 1995 ( 10) 2011 ( 0)
%%% 1980 ( 7) 1996 ( 9) 2012 ( 2)
%%% 1981 ( 8) 1997 ( 3) 2013 ( 2)
%%% 1982 ( 9) 1998 ( 2) 2014 ( 4)
%%% 19xx ( 6)
%%%
%%% Article: 202
%%% Book: 17
%%% InCollection: 8
%%% InProceedings: 104
%%% Manual: 4
%%% MastersThesis: 2
%%% Misc: 2
%%% Proceedings: 27
%%% TechReport: 69
%%% Unpublished: 1
%%%
%%% Total entries: 436
%%%
%%% This bibliography has been collected from
%%% bibliographies in the author's personal
%%% files, from several OCLC databases,
%%% from the IEEE INSPEC database (1973--1996),
%%% from the computer graphics bibliography
%%% archive at ftp.siggraph.org, and from the
%%% computer science bibliography collection on
%%% ftp.ira.uka.de in /pub/bibliography to
%%% which many people of have contributed. The
%%% snapshot of this collection was taken on
%%% 5-May-1994, and it consists of 441 BibTeX
%%% files, 2,672,675 lines, 205,289 entries,
%%% and 6,375 String{} abbreviations,
%%% occupying 94.8MB of disk space.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen as
%%% name:year:abbrev, where name is the family
%%% name of the first author or editor, year is a
%%% 4-digit number, and abbrev is a 3-letter
%%% condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% This bibliography is sorted by year, and
%%% within each year, by author and title key,
%%% with ``bibsort -byyear''. Cross-referenced
%%% proceedings entries appear at the end,
%%% because of a restriction in the current
%%% BibTeX.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
@Preamble{
"\def\cdprime {$''$}" #
"\def\cprime {$'$}" #
"\hyphenation{
Fried-rich
Mann-heim
Shou-ichi
SIG-SAM
}"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
%%% ====================================================================
%%% Institution abbreviations:
@String{inst-STAN-CS = "Stanford University, Department of
Computer Science"}
@String{inst-STAN-CS:adr = "Stanford, CA, USA"}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACM-COMM-COMP-ALGEBRA = "ACM Communications in Computer Algebra"}
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@String{j-ANALYT-BIOCHEM = "Analytical biochemistry"}
@String{j-ASTRO-NACHR = "Astron. Nachr."}
@String{j-ANZIAM-J = "The ANZIAM Journal"}
@String{j-BULL-MATH-BIOLOGY = "Bulletin of Mathematical Biology"}
@String{j-COED = "CoED"}
@String{j-COMP-FLUIDS = "Computers and Fluids"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMP-STRUCTURES = "Computers and Structures"}
@String{j-COMPUT-METH-APPL-MECH-ENG = "Computer Methods in Applied Mechanics
and Engineering"}
@String{j-COMPUTING = "Computing: Archiv f{\"u}r informatik und numerik"}
@String{j-ENG-COMP = "Engineering Computations"}
@String{j-ENG-FRACTURE-MECH = "Engineering fracture mechanics"}
@String{j-FORTSCHR-PHYS = "{Fortschritte der Physik = Progress of
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@String{j-GEN-RELATIVITY-GRAV = "General relativity and gravitation"}
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@String{j-INF-COMPUT = "Information and Computation"}
@String{j-INT-J-CONTROL = "International Journal of Control"}
@String{j-INT-J-NUM-METH-ENG = "International J. Numer. Methods Engineering"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-GEOM-PHYS = "Journal of Geometry and Physics"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and
General)"}
@String{j-J-SYMBOLIC-COMP = "Journal of Symbolic Computation"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-MATH-PROG-STUDY = "Mathematical Programming Study"}
@String{j-MATHEMATICA-J = "Mathematica Journal"}
@String{j-PC-MAGAZINE = "PC Magazine"}
@String{j-REND-CIRC-MAT-II = "Rend. Circ. Mat. Palermo, Ser. II"}
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@String{j-SIGSAM = "SIGSAM Bulletin"}
@String{j-TEORET-MATH-FIZ = "Teoreticheskaya i Matematicheskaya Fizika"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
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@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
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@String{pub-CUP = "Cambridge University Press"}
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Silver Spring, MD 20910, USA"}
@String{pub-IMACS = "IMACS"}
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University, New Brunswick, NJ, USA"}
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@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht,
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@String{pub-WORLD-SCI = "World Scientific Publishing Co."}
@String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River
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%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNCS = "Lecture Notes in Computer Science"}
%%% ====================================================================
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with `bibsort -byyear':
@Manual{Hearn:1967:RUM,
author = "A. C. Hearn",
title = "{REDUCE} User's Manual",
organization = inst-STAN-CS,
address = inst-STAN-CS:adr,
pages = "????",
month = feb,
year = "1967",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Memo AI-50",
}
@InProceedings{Hearn:1968:RAU,
author = "Anthony C. Hearn",
title = "{REDUCE}: a User-Oriented Interactive System for
Algebraic Simplification",
crossref = "Klerer:1968:ISE",
pages = "??--??",
year = "1968",
bibsource = "/usr/local/src/bib/siggraph/pre75.bib;
Graphics/imager/imager.75.bib;
Graphics/siggraph/pre75.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "systems",
}
@TechReport{Hearn:1969:R,
author = "Anthony C. Hearn",
title = "{REDUCE}",
type = "Report",
number = "DECUS No. 10-21",
institution = "Univ. of Utah, Dept. of Physics",
address = "Salt Lake City, UT, USA",
month = oct,
year = "1969",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@InProceedings{Hearn:1971:RAS,
author = "Anthony C. Hearn",
editor = "S. R. Petrick",
booktitle = "Proc. of Second Symposium on Symbolic and Algebraic
Manipulation",
title = "{REDUCE 2} --- a system and language for algebraic
manipulation",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "128--133",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/obscure.bib; Theory/reduce.bib",
}
@Article{Calmet:1972:RAC,
author = "Jacques Calmet",
title = "A {REDUCE} Approach to the Calculation of {Feynman}
Diagrams",
journal = j-COMP-PHYS-COMM,
volume = "4",
number = "2",
pages = "199--204",
month = nov,
year = "1972",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(72)90008-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "A brief survey of two existing {REDUCE} programs (by
Campbell-Hearn and by Calmet) dealing with algebraic
computation of {Feynman} diagrams is given. Work in
progress on a more general approach to this problem is
discussed.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Hearn:1972:R,
author = "A. C. Hearn",
title = "{REDUCE}",
journal = j-SIGSAM,
volume = "??",
number = "??",
pages = "14--15",
month = oct,
year = "1972",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:53 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "24",
}
@Article{Hearn:1972:RSP,
author = "Anthony C. Hearn",
title = "A {REDUCE} Solution of Problem \#2 --- The {Y(2n)}
Functions",
journal = j-SIGSAM,
volume = "14",
year = "1972",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
abstract = "A {REDUCE} solution to {SIGSAM} Problem \#2 is
described.",
annote = "A REDUCE solution to SIGSAM Problem \#2 is
described.",
fjournal = "SIGSAM Bulletin",
}
@Article{Loos:1972:ATT,
author = "R{\"u}diger Loos",
title = "Analytic treatment of three similar {Fredholm}
integral equations of the second kind with {Reduce 2}",
journal = j-SIGSAM,
volume = "??",
number = "??",
pages = "32--40",
month = jan,
year = "1972",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:53 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "21",
}
@Article{Fitch:1973:PRM,
author = "John Fitch",
title = "Problems \#3 and \#4 in {REDUCE} and {MACSYMA}",
journal = j-SIGSAM,
volume = "??",
number = "??",
pages = "10--11",
month = dec,
year = "1973",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:53 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib",
abstract = "The algebra systems {REDUCE} and {MACSYMA} are used to
solve {SIGSAM} Problem \#3, the Reversion of a Double
Series, and {SIGSAM} Problem \#4, the Lie Transform
Solution of the Harmonic Oscillator.",
acknowledgement = ack-nhfb,
annote = "The algebra systems REDUCE and MACSYMA are used to
solve SIGSAM Problem \#3, the Reversion of a Double
Series, and SIGSAM Problem \#4, the Lie Transform
Solution of the Harmonic Oscillator.",
fjournal = "SIGSAM Bulletin",
issue = "28",
keywords = "Reduce",
}
@InProceedings{Hearn:1973:RPC,
author = "A. C. Hearn",
title = "The {REDUCE} program for computer algebra",
crossref = "Visconti:1973:TIC",
volume = "I",
pages = "AV/1--AV/19",
year = "1973",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A0270 (Computational techniques); C6140D (High level
languages); C7310 (Mathematics computing)",
corpsource = "Univ. Utah, Salt Lake City, UT, USA",
keywords = "computational physics; computer algebra; design
philosophy; languages; linear algebra; problem
oriented; REDUCE program",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Hearn:1973:RUM,
author = "Anthony C. Hearn",
title = "{REDUCE} 2 User's Manual",
type = "Utah Symbolic Computation Group Report",
number = "UCP-19",
institution = "Department of Computer Science, University of Utah",
address = "Salt Lake City, UT, USA",
month = mar,
year = "1973",
bibsource = "/usr/local/src/bib/siggraph/pre75.bib;
Graphics/imager/imager.75.bib;
Graphics/siggraph/pre75.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "systems",
}
@InProceedings{Griss:1974:ASL,
author = "M. L. Griss",
booktitle = "Proceedings of ACM 74",
title = "The Algebraic Solution of Large Sparse Systems of
Linear Equations Using {REDUCE} 2",
publisher = "????",
address = "????",
pages = "105--111",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
abstract = "This paper discusses some of the problems encountered
during the solution of a large system of sparse linear
equations with algebraic coefficients, using {REDUCE}
2.",
annote = "This paper discusses some of the problems encountered
during the solution of a large system of sparse linear
equations with algebraic coefficients, using REDUCE
2.",
keywords = "Reduce",
}
@Manual{Hearn:1974:RUM,
author = "A. C. Hearn",
title = "{REDUCE} 2, Users manual",
volume = "UCP-19",
publisher = "University of Utah",
address = "Salt Lake City, UT, USA",
year = "1974",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1974.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
country = "USA",
date = "00/00/00",
descriptors = "Formula manipulation; LISP; REDUCE;",
enum = "1304",
language = "English",
location = "PKI-OG: Li-Ord.Le",
references = "0",
revision = "21/04/91",
town = "?, Utah",
}
@TechReport{Melenk:1974:FRT,
author = "H. Melenk",
title = "{Formelmanipulation mit REDUCE auf dem TR 440}",
type = "Technical Report",
institution = "Grossrechenzentrum f{\"u}r die Wissenschaft in
Berlin",
address = "Berlin, Germany",
month = may,
year = "1974",
bibsource = "Ai/Ai.misc.bib; Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
}
@InProceedings{Griss:1975:RSC,
author = "Martin L. Griss",
booktitle = "Proc. ACM 75",
title = "The {REDUCE} System for Computer Algebra",
publisher = "????",
address = "????",
pages = "4--5",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
abstract = "A brief description of {REDUCE} is presented.",
annote = "A brief description of REDUCE is presented.",
keywords = "Reduce",
}
@TechReport{Kanada:1975:IHA,
author = "Y. Kanada",
title = "Implementation of {HLISP} and Algebraic Manipulation
Language {REDUCE} 2",
type = "Report",
number = "75-01",
institution = "University of Tokyo Information Science Lab",
address = "Tokyo, Japan",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@TechReport{Cohen:1976:PCS,
author = "I. Cohen and F. Bark",
title = "Perturbation Calculations for the Spin Up Problem
Using {REDUCE}",
number = "TRITA-MEK-76-03",
institution = "The Royal Institute of Technology, Department of
Mechanics",
address = "????",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Gates:1976:NCG,
author = "B. L. Gates",
title = "A Numerical Code Generation Facility for {REDUCE}",
crossref = "Jenks:1976:SPA",
pages = "94--99",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib",
}
@InProceedings{Griss:1976:DUD,
author = "Martin L. Griss",
booktitle = "Proc. of the 1976 ACM Symposium on Symbolic and
Algebraic Computation",
title = "The Definition and Use of Data-Structures in
{REDUCE}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "53--59",
year = "1976",
bibsource = "Ai/Ai.misc.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
abstract = "This paper gives a brief description and motivation of
the mode analyzing and data-structuring extensions to
the algebraic language {REDUCE}.",
annote = "This paper gives a brief description and motivation of
the mode analyzing and data-structuring extensions to
the algebraic language REDUCE.",
keywords = "Reduce",
}
@InProceedings{Hearn:1976:NRM,
author = "Anthony C. Hearn",
booktitle = "Proceedings of the 1976 ACM Symposium on Symbolic and
Algebraic Computation",
title = "A New {REDUCE} Model for Algebraic Simplification",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "46--52",
year = "1976",
bibsource = "Ai/Ai.misc.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
abstract = "This paper shows how the general concepts of mode
analysis can play a useful role in the design and
implementation of programs for algebraic
simplification.",
annote = "This paper shows how the general concepts of mode
analysis can play a useful role in the design and
implementation of programs for algebraic
simplification.",
keywords = "Reduce",
}
@TechReport{Griss:1977:RST,
author = "Martin L. Griss",
title = "A {REDUCE} Symbolic-Numeric Tutorial",
type = "Utah Symbolic Computation Group Operating Note",
number = "UCP-32",
institution = "Department of Computer Science, University of Utah",
address = "Salt Lake City, UT, USA",
month = oct,
year = "1977",
bibsource = "/usr/local/src/bib/siggraph/77.bib;
Graphics/imager/imager.77.bib;
Graphics/siggraph/77.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "systems",
}
@Article{Harrington:1977:RSP,
author = "S. J. Harrington",
title = "{REDUCE} Solution to Problem \#8",
journal = j-SIGSAM,
volume = "11--12",
number = "4--1",
pages = "7--8",
month = nov # " and " # feb,
year = "1977",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:55 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "44/45",
remark = "Issue labeled vol. 11, no. 4, November 1977 (issue
\#44) and vol. 12, no. 1, February 1978 (issue \#45).",
}
@Unpublished{Harrington:1977:SLE,
author = "Steven J. Harrington",
title = "A Symbolic Limit Evaluation Program in {REDUCE}",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
note = "A program for the automatic evaluation of algebraic
limits, implemented in {MODE-REDUCE}, is described. The
program incorporates many of the techniques previously
employed, including the top-down recursive evaluation,
power series expansion, and L'Hopital's rule. It also
introduces the concept of a special algebraic form for
limits.",
}
@Article{Loos:1977:ARN,
author = "R{\"u}diger Loos",
title = "Abstracts {(REDUCE newsletter 1.1978)}",
journal = j-SIGSAM,
volume = "11--12",
number = "4--1",
pages = "86--88",
month = nov # " and " # feb,
year = "1977",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:55 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "??",
remark = "Issue labeled vol. 11, no. 4, November 1977 (issue
\#44) and vol. 12, no. 1, February 1978 (issue \#45).",
}
@Article{Stoutemyer:1977:AEA,
author = "David R. Stoutemyer",
title = "Automatic Error Analysis Using Computer Algebraic
Manipulation",
journal = j-TOMS,
volume = "3",
number = "1",
pages = "26--43",
month = mar,
year = "1977",
CODEN = "ACMSCU",
DOI = "http://dx.doi.org/10.1145/355719.355721",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65G05",
MRnumber = "55 #13765",
bibdate = "Fri Sep 02 22:30:11 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "This paper shows how the inherent error and the
fixed-point or floating-point roundoff of chopoff error
of an expression can be determined automatically using
a computer algebra language such as {REDUCE}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
reviewer = "R. P. Brent",
}
@TechReport{Bajla:1978:OPP,
author = "I. Bajla and G. A. Ososkov and A. C. Hearn",
title = "The Orthogonalization Program of Polynomials in Two
Variables in {REDUCE-2} Language",
type = "Report",
number = "P10-11944",
institution = "J.I.N.R.",
address = "Dubna, USSR",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "The analytical algorithm for constructing orthogonal
polynomials in two variables, based on the
{Gram--Schmidt} orthogonalization method, is
proposed.",
}
@InProceedings{Griss:1978:RAM,
author = "Martin L. Griss and Robert R. Kessler",
booktitle = "Proc. Micro, {IEEE}",
title = "{REDUCE}/1700: a Micro-coded Algebra System",
volume = "11",
publisher = "????",
address = "????",
pages = "130--138",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
abstract = "In this paper, we report on the status of an ongoing
project aimed at producing a micro-coded Algebra
machine.",
annote = "In this paper, we report on the status of an ongoing
project aimed at producing a micro-coded Algebra
machine.",
keywords = "Reduce",
}
@InProceedings{Griss:1978:RMA,
author = "M. L. Griss and R. R. Kessler",
title = "{REDUCE\slash} 1700: a micro-coded algebra system",
crossref = "IEEE:1978:MPA",
pages = "130--138",
year = "1978",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C6140D (High level languages)",
conflocation = "Pacific Grove, CA, USA; 19--22 Nov. 1978",
corpsource = "Computer Sci. Dept., Univ. of Utah, Salt Lake City,
UT, USA",
keywords = "BIL; bootstrapping; kernel; LISP; LISP machine;
microcoded algebra system",
sponsororg = "ACM; IEEE",
treatment = "A Application; P Practical",
}
@Article{Marti:1978:MRT,
author = "Jed Marti",
title = "The {META\slash REDUCE} Translator Writing System",
journal = j-SIGPLAN,
volume = "13",
pages = "42--49",
year = "1978",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Mon Aug 29 17:33:46 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Misc/sigplan.bib; Theory/Comp.Alg.1.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
annote = "The META/REDUCE translator writing system operates in
a LISP and REDUCE syntax. The language supports: {BNF}
like syntax, recursive descent parsing schemes, lexical
primitives, symbol table primitives, and automatic
syntax error message generation.",
comment = "The {META/REDUCE} translator writing system operates
in a {LISP} and {REDUCE} syntax. The language supports:
{BNF} like syntax, recursive descent parsing schemes,
lexical primitives, symbol table primitives and
automatic syntax error message generation.",
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
keywords = "Reduce",
}
@Article{Norman:1978:TRS,
author = "Arthur Norman",
title = "Towards a {REDUCE} solution to {SIGSAM} Problem 7",
journal = j-SIGSAM,
volume = "12",
number = "4",
pages = "14--18",
month = nov,
year = "1978",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:56 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "48",
keywords = "Reduce",
}
@InProceedings{Dautcourt:1979:ARA,
author = "G. Dautcourt",
booktitle = "Proc. of the Workshop in Symbolic Computation, Dubna,
USSR",
title = "Application of {REDUCE} to Algebraic Computations in
General Relativity and Astrophysics",
publisher = "????",
address = "????",
month = sep,
year = "1979",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "Reports the use of the system {REDUCE} 2 for general
relativistic calculations.",
}
@TechReport{Griss:1979:MIS,
author = "Martin L. Griss and Robert R. Kessler",
title = "A Micro-programmed Implementation of {Standard LISP}
and {REDUCE} on the {Burroughs B1700/B1800} Computer",
type = "Report",
institution = "University of Utah",
address = "Salt Lake City, UT, USA",
month = feb,
year = "1979",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
abstract = "This paper describes the implementation of a
microcoded {LISP} ``machine'' (the MTLISP) for the
Burroughs B1700/B1800 computers. This interpreter
supports a complete Standard {LISP} and {REDUCE}
Algebra system, as well as a variety of experimental
{LISP-like} systems.",
annote = "This paper describes the implementation of a
microcoded LISP ``machine'' (the MTLISP) for the
Burroughs B1700/B1800 computers. This interpreter
supports a complete Standard LISP and REDUCE Algebra
system, as well as a variety of experimental LISP-like
systems.",
keywords = "Reduce",
}
@Article{Harrington:1979:NSI,
author = "Steven J. Harrington",
title = "A New Symbolic Integration System in {REDUCE}",
journal = j-COMP-J,
volume = "22",
number = "2",
pages = "127--131",
month = may,
year = "1979",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
annote = "A new integration system, employing both algorithmic
and pattern match integration schemes is presented. The
organization of the system differs from that of earlier
programs in its emphasis on the algorithmic approach to
integration, its modularity, and its ease of revision.
The new Norman-Risch algorithm and its implementation
at the University of Cambridge are employed,
supplemented by a powerful collection of simplification
and transformation rules. The facility for user defined
integrals and functions is also included. The program
is both fast and powerful, and can be easily modified
to incorporate anticipated developments in symbolic
integration.",
classification = "723",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
journalabr = "Comput J",
keywords = "computer programming; Reduce",
page = "127-131",
}
@Article{Harrington:1979:SLE,
author = "Steven J. Harrington",
title = "A Symbolic Limit Evaluation Program in {REDUCE}",
journal = j-SIGSAM,
volume = "13",
number = "1",
pages = "27--31",
month = feb,
year = "1979",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:56 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "49",
keywords = "Reduce",
}
@TechReport{Kessler:1979:PPM,
author = "R. Kessler",
title = "{PMETA} --- Pattern Matching {META}/{REDUCE}",
type = "Report",
number = "USCG Op. Note No. 40",
institution = "Univ. of Utah, CS Dept.",
address = "Salt Lake City, UT, USA",
month = jan,
year = "1979",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
}
@TechReport{Mohring:1979:SEA,
author = "H. J. Mohring and A. Schiller",
title = "Some Experience in Applying the Algebraic System
{Reduce} to the Calculation of Scattering Processes in
{QED} and {QCD}",
institution = "????",
address = "????",
pages = "??",
year = "1979",
bibdate = "Sat Sep 13 18:06:56 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
slaccitation = "INSPIRE-151117",
}
@InProceedings{Sasaki:1979:APR,
author = "Tateaki Sasaki",
booktitle = "Proc. {EUROSAM} 1979, Lecture Notes in Computer
Science",
title = "An Arbitrary Precision Real Arithmetic Package in
{REDUCE}",
crossref = "Ng:1979:SAC",
volume = "72",
publisher = pub-SV,
address = pub-SV:adr,
pages = "358--368",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
series = ser-LNCS,
abstract = "A {REDUCE} arbitrary precision real arithmetic package
is described which will become a part of the kernel of
an algebraic-numeric system being developed for
{REDUCE}.",
annote = "A REDUCE arbitrary precision real arithmetic package
is described which will become a part of the kernel of
an algebraic-numeric system being developed for
REDUCE.",
keywords = "Reduce",
}
@Article{Weber:1979:PSR,
author = "Lawrence A. Weber and Gerhard Rayna",
title = "Problem \#11 Solved in {REDUCE}: a Case Study in
Program Translation",
journal = j-SIGSAM,
volume = "13",
number = "4",
pages = "21--24",
month = nov,
year = "1979",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:56 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "52",
keywords = "Reduce",
}
@Article{Bajla:1980:ARA,
author = "I. Bajla and G. A. Ososkov",
title = "Application of {REDUCE-2} algebraic manipulation
system in calibration problems of track chamber picture
processing devices",
journal = j-COMP-PHYS-COMM,
volume = "20",
number = "1",
pages = "81--83",
month = sep,
year = "1980",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(80)90112-5",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 06:01:18 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465580901125",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@TechReport{Dautcourt:1980:PPR,
author = "G. Dautcourt and K. P. Jann",
title = "A Program Package in {REDUCE} 2 for Algebraic
Computations in General Relativity",
institution = "Zentralinstitut f{\"{u}}r Astrophysik der Akademie der
Wissenschaften",
address = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Grimm:1980:URP,
author = "R. Grimm and H. K{\"u}hnelt",
title = "Using {REDUCE} in Problems of Supersymmetry and
Supergravity",
journal = j-COMP-PHYS-COMM,
volume = "20",
pages = "77",
year = "1980",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "Describes how {REDUCE} may be used with advantage in
tedious calculations of supersymmetry and
supergravity.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@TechReport{Griss:1980:RSL,
author = "M. L. Griss and R. R. Kessler",
title = "{REDUCE\slash 1800}: Standard {LISP} and {REDUCE} on
the {Burroughs B1700\slash B1800} Computer",
type = "Report",
institution = "Computer Science Department, University of Utah",
address = "Salt Lake City, UT, USA",
month = jun,
year = "1980",
bibdate = "Sun Oct 25 11:42:41 1998",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
}
@TechReport{Haraldsson:1980:RSF,
author = "A. Haraldsson",
title = "{REDUCE} --- Sprak foer Formelbehandling",
type = "Report",
number = "1980-02-20",
institution = "Link{{\"o}}ping Universit{\"{a}}t, Tekniska
H{{\"o}}gskolan, Datalogi",
address = "Link{{\"o}}ping",
month = feb,
year = "1980",
bibdate = "Tue Feb 13 07:13:00 1996",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
}
@TechReport{Inada:1980:FLS,
author = "Nobuyuki Inada",
title = "Fortran-Based {LISP} System for {REDUCE}",
institution = "Information Science Laboratory, The Institute of
Physical and Chemical Research",
address = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
}
@Article{Norton:1980:NAL,
author = "Lewis M. Norton",
title = "A Note About {Laplace} Transform Tables for Computer
Use",
journal = j-SIGSAM,
volume = "14",
number = "2",
pages = "30--31",
month = may,
year = "1980",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:57 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C1130 (Integral transforms); C6130 (Data handling
techniques)",
corpsource = "Lab. of Statistical and Math. Methodology, Nat. Inst.
of Health, Bethesda, MD, USA",
fjournal = "SIGSAM Bulletin",
issue = "54",
keywords = "inverse Laplace transforms; language; Laplace
transform tables; Laplace transforms; manipulation;
REDUCE; symbol; symbol manipulation; symbolic algebraic
manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Bordoni:1981:ARI,
author = "Luciana Bordoni and Attilio Colagrossi",
title = "An Application of {REDUCE} to Industrial Mechanics",
journal = j-SIGSAM,
volume = "15",
number = "2",
pages = "8--12",
month = may,
year = "1981",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:57 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C7440 (Civil and mechanical engineering computing)",
corpsource = "Istituto di Analisi dei Sistemi ed Informatica,
IASI-CNR, Roma, Italy",
fjournal = "SIGSAM Bulletin",
issue = "58",
keywords = "dynamical equations; industrial mechanics; Lagrange
dynamical equations; large; mechanical engineering
computing; mechanical systems; motion; REDUCE
implementation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Dautcourt:1981:UGR,
author = "G. Dautcourt and K. P. Jann and E. Riemer and M.
Riemer",
title = "User's Guide to {REDUCE} Subroutines For Algebraic
Computations in General Relativity",
journal = j-ASTRO-NACHR,
volume = "302",
pages = "1--13",
year = "1981",
CODEN = "ASNAAN",
ISSN = "0004-6337",
ISSN-L = "0004-6337",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
fjournal = "Astronomische Nachrichten",
}
@TechReport{Edelen:1981:PCI,
author = "Dominic G. B. Edelen",
title = "Programs for Calculation of Isovector Fields in the
{REDUCE-2} Environment",
number = "TBD",
institution = "Center for the Application of Mathematics, Lehigh
University",
address = "????",
month = aug,
year = "1981",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Griss:1981:RSS,
author = "Martin L. Griss",
title = "{{\path=REDUCE.SYSLISP.SOURCES=}}, {BIGNUM} Package",
type = "Report",
institution = "Univ. of Utah, CS Dept.",
address = "Salt Lake City, UT, USA",
month = aug,
year = "1981",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Recoded from BIGNUM.MOD, Dec. 1977",
keywords = "LISP",
}
@TechReport{Husberg:1981:PIR,
author = "N. Husberg",
title = "Preliminary {II REDUCE-2} and {Analitik-74}, a
Comparison",
institution = "Helsinki University of Technology Computing Center",
address = "Helsinki, Finland",
month = nov,
year = "1981",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Kempelmann:1981:RAF,
author = "Helmut Kempelmann",
title = "Recursive algorithm for the fast calculation of the
limit of derivatives at points of indeterminateness",
journal = j-SIGSAM,
volume = "15",
number = "4",
pages = "10--11",
month = nov,
year = "1981",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:57 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Lehrstuhl fur Allgemeine Elektrotechnik und
Datenfernverarbeitung, RWTH Aachen, Aachen, West
Germany",
fjournal = "SIGSAM Bulletin",
issue = "60",
keywords = "denominator; derivatives; function evaluation;
indeterminateness; Laplace; numerator; probability;
queueing theory; recursive algorithm; REDUCE;
transform",
treatment = "T Theoretical or Mathematical",
}
@MastersThesis{Maguire:1981:PTR,
author = "Gerald Quentin {Maguire, Jr.}",
title = "Program Transformation in {REDUCE} Using Rule
Sequencing",
school = "Department of Computer Science, The University of
Utah",
address = "Salt Lake City, UT, USA",
month = mar,
year = "1981",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Pearce:1981:AAO,
author = "P. D. Pearce and R. J. Hicks",
title = "The Application of Algebraic Optimisation Techniques
to Algebraic Mode Programs for {REDUCE}",
journal = j-SIGSAM,
volume = "15",
number = "4",
pages = "15--22",
month = nov,
year = "1981",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:57 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory)",
corpsource = "School of Electronic Engng. and Computer Sci.,
Kingston Polytech., Kingston upon Thames, UK",
fjournal = "SIGSAM Bulletin",
issue = "60",
keywords = "algebraic manipulator; algebraic mode programs;
algebraic optimisation techniques; optimisation;
programming theory; REDUCE",
treatment = "T Theoretical or Mathematical",
}
@Article{Davenport:1982:FRT,
author = "James H. Davenport",
title = "Fast {REDUCE}: The trade-off between efficiency and
generality",
journal = j-SIGSAM,
volume = "16",
number = "1",
pages = "8--11",
month = feb,
year = "1982",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:57 MDT 2005",
bibsource = "Distributed/QLD.bib; http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
annote = "THIS SHORT NOTE DESCRIBES VARIOUS CHANGES THE AUTHOR
HAS MADE TO REDUCE, WHICH, BY REDUCING THE POWER OF THE
REDUCE SYSTEM, INCREASE ITS PERFORMANCE",
country = "USA",
date = "03/09/82",
descriptors = "REDUCE; RUNTIME/STORAGE EFFICIENCY;",
enum = "718",
fjournal = "SIGSAM Bulletin",
issue = "61",
language = "English",
location = "RWTH-AC-DFV: Bibl.",
references = "6",
revision = "21/04/91",
}
@Article{Fogelholm:1982:SLV,
author = "Rabbe Fogelholm and Inge B. Frick",
title = "Standard {LISP} for the {VAX}: a Provisional
Implementation",
journal = j-SIGSAM,
volume = "16",
number = "4",
pages = "10--12",
month = nov,
year = "1982",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C6140D (High level languages)",
corpsource = "Dept. of Solid State Phys., Royal Inst. of Technol.,
Stockholm, Sweden",
fjournal = "SIGSAM Bulletin",
issue = "64",
keywords = "LISP; REDUCE; SHEEP; Standard LISP; symbol
manipulation; VAX-11 large-address-space computer",
treatment = "P Practical",
}
@Article{Hearn:1982:RCS,
author = "Anthony C. Hearn",
title = "{Reduce} --- a Case Study in Algebra System
Development",
journal = j-LECT-NOTES-COMP-SCI,
pages = "263--272",
year = "1982",
CODEN = "LNCSD9",
ISBN = "3-540-11607-9",
ISBN-13 = "978-3-540-11607-3",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
LCCN = "????",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
classification = "723; 921",
conference = "Computer Algebra, EUROCAM '82, European Computer
Algebra Conference.",
fjournal = "Lecture Notes in Computer Science",
journalabr = "Lect Notes Comp Sci",
keywords = "algorithms; mathematical techniques; Motorola MC68000
microprocessor; personal computers; programming system
Reduce; semantics",
meetingaddress = "Marseille, Fr",
sponsor = "ACM, Special Interest Group on Symbolic \& Algebraic
Manipulation, New York, NY, USA",
}
@Article{Kalina:1982:RRL,
author = "Zden{\^e}k Kalina",
title = "Running {REDUCE} and {Lisp\slash 360} interactively
under a {Time Sharing Option}",
journal = j-SIGSAM,
volume = "16",
number = "2",
pages = "3--3",
month = may,
year = "1982",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "62",
}
@Article{Malm:1982:PRF,
author = "Bengt Malm",
title = "Program in {Reduce} for Finding Explicit Solutions to
Certain Ordinary Differential Equations",
journal = j-LECT-NOTES-COMP-SCI,
volume = "144",
pages = "289--293",
year = "1982",
CODEN = "LNCSD9",
ISBN = "3-540-11607-9",
ISBN-13 = "978-3-540-11607-3",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
LCCN = "????",
MRclass = "34A25 (34-04)",
MRnumber = "680073 (83m:34006)",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib",
acknowledgement = ack-nhfb,
classification = "723; 921",
conference = "Computer Algebra, EUROCAM '82, European Computer
Algebra Conference.",
fjournal = "Lecture Notes in Computer Science",
journalabr = "Lect Notes Comp Sci",
keywords = "computer program snowman; differential equations;
mathematical techniques; polynomials; power series;
programming system Reduce; Reduce computer-algebra
system",
meetingaddress = "Marseille, Fr",
sponsor = "ACM, Special Interest Group on Symbolic \& Algebraic
Manipulation, New York, NY, USA",
}
@Article{Schrufer:1982:IEC,
author = "E. Schr{\"u}fer",
title = "An Implementation of the Exterior Calculus in
{REDUCE}: a Status Report",
journal = j-SIGSAM,
volume = "16",
number = "4",
pages = "27--31",
month = nov,
year = "1982",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1120 (Mathematical analysis); C6130
(Data handling techniques); C7310 (Mathematics
computing)",
corpsource = "Inst. fur Astrophys. und Extraterrestrische Forschung,
Univ. Bonn, Bonn, West Germany",
fjournal = "SIGSAM Bulletin",
issue = "64",
keywords = "binary infix; calculus; differentiation; exterior;
exterior differentiation; Hodge star; inner product
differentiation; Lie; multiplication; nary infix
operator; REDUCE; symbol manipulation; unary prefix;
variational calculus",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Schwarz:1982:RPD,
author = "F. Schwarz",
title = "A {REDUCE} Package for Determining {Lie} Symmetries of
Ordinary and Partial Differential Equations",
journal = j-COMP-PHYS-COMM,
volume = "27",
pages = "179--186",
year = "1982",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
annote = "Preliminary description of REDUCE packages SODE and
SPDE.",
comment = "Preliminary description of {REDUCE} packages {SODE}
and {SPDE}.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "Reduce",
}
@Article{Ucoluk:1982:PER,
author = "G. {\"U}{\c{c}}oluk and A. Hac{\i}nl{\i}yan and E.
Karabudak",
title = "A Proposal for Extensions to {REDUCE}",
journal = j-SIGSAM,
volume = "16",
number = "2",
pages = "4--14",
month = may,
year = "1982",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1982.bib;
http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
abstract = "Three classes of extensions are proposed for {REDUCE}:
A facility for evaluating arbitrary functions of
matrices; a facility for grouping, modifying or
restoring the status of various flags in {REDUCE};
further extensions and modifications for separating
terms, coefficients of expressions, concatenation, and
non- commuting algebra.",
acknowledgement = ack-nhfb,
annote = "Three classes of extensions are proposed for Reduce: a
facility for evaluating arbitrary functions of
matrices; A facility for grouping, modifying or
restoring the status of various flags in reduce;
further extensions and modifications for separating
terms, coefficients of expressions, concatenation, and
noncommuting algebra. These proposals have been
implemented on the UNIVAC 1100 Reduce system \ldots{}",
classcodes = "C6140D (High level languages)",
corpsource = "Bogazici Univ., Istanbul, Turkey",
country = "USA",
date = "22/09/82",
descriptors = "REDUCE;",
enum = "3165",
fjournal = "SIGSAM Bulletin",
issue = "62",
keywords = "arbitrary; flags; functions; grouping; high level
languages; matrices; modifying; REDUCE; restoring;
symbol manipulation; UNIVAC 1100",
language = "English",
location = "RWTH-AC-DFV: Bibl.",
references = "0",
revision = "21/04/91",
treatment = "P Practical",
}
@Article{vanHulzen:1982:EAP,
author = "J. A. {van Hulzen} and B. J. A. Hulshof",
title = "An Expression Analysis Package for {REDUCE}",
journal = j-SIGSAM,
volume = "16",
number = "4",
pages = "32--44",
month = nov,
year = "1982",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Mathematical analysis); C6130 (Data handling
techniques); C7310 (Mathematics computing)",
corpsource = "Dept. of Computer Sci., Twente Univ. of Technol.,
Enschede, Netherlands",
fjournal = "SIGSAM Bulletin",
issue = "64",
keywords = "algebra; Code Optimiser; expression analysis package;
interactive use; REDUCE; Reduce; REDUCE; Standard LISP;
symbol manipulation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Abi-Ezzi:1983:CSM,
author = "Salim S. Abi-Ezzi",
title = "Clarifications to the symbolic mode in {REDUCE}",
journal = j-SIGSAM,
volume = "17",
number = "3--4",
pages = "43--47",
month = aug # "\slash " # nov,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Sci., Rensselaer Polytech. Inst., Troy, NY,
USA",
fjournal = "SIGSAM Bulletin",
issue = "67/68",
keywords = "algebra; algebraic mode; building; design; fundamental
data; languages; LISP; PASCAL like form; REDUCE; source
code; structures; symbolic expressions; symbolic mode;
system",
subject = "D.3.3 Software, PROGRAMMING LANGUAGES, Language
Constructs, Data types and structures \\ D.3.2
Software, PROGRAMMING LANGUAGES, Language
Classifications, Extensible languages \\ F.2.1 Theory
of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on polynomials \\ D.2.5 Software, SOFTWARE
ENGINEERING, Testing and Debugging, Debugging aids",
treatment = "T Theoretical or Mathematical",
xxtitle = "Clarifications to the symbolic mode in {REDUCE}",
}
@InProceedings{Fitch:1983:IRM,
author = "J. P. Fitch",
booktitle = "Proc. {EUROCAL} 1983, Lecture Notes in Computer
Science",
title = "Implementing {REDUCE} on a Microprocessor",
volume = "162",
publisher = pub-SV,
address = pub-SV:adr,
pages = "128--136",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InCollection{Gerdt:1983:RPS,
author = "V. P. Gerdt and A. Yu. Zharkov",
booktitle = "Dubna 1983",
title = "{REDUCE} --- a package for solution of ordinary
differential equations",
publisher = "????",
address = "????",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib",
keywords = "ODEs series Rainville method",
}
@InProceedings{Grozin:1983:COD,
author = "A. G. Grozin",
booktitle = "Proc. Int. Conf. on Computer Algebra in Theoretical
Physics, Dubna",
title = "Calculation of one-loop diagrams of {$ 1 \to 2 $}
decays with {REDUCE}",
publisher = "????",
address = "????",
pages = "226--231",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "To appear in Phys. Lett. B",
}
@TechReport{Hearn:1983:RIG,
author = "A. C. Hearn and L. R. Seward",
title = "{REDUCE} Installation Guide for the {DEC VAX}-11
Series Running {UNIX}, Vers. 3.0",
type = "Report",
number = "Rand Publication CP84 (4/83)",
institution = "The Rand Corporation",
address = "Santa Monica, CA, USA",
month = apr,
year = "1983",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
stand = "LISP-Museum, Stehsammler 1983",
}
@TechReport{Hearn:1983:RUM,
author = "A. C. Hearn and J. D. Marti and others",
title = "{REDUCE} user's manual, version 3.0 (standard {LISP}
report)",
type = "RAND publication CP78 (4/83) (UUCS-78-101) (University
of Utah, Technical Report TR-6, 1978)",
institution = "Rand Corporation",
address = "Santa Monica, CA, USA",
pages = "1--135",
year = "1983",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1983.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
country = "USA",
date = "08/06/84",
descriptors = "REDUCE; LISP;",
enum = "1305",
language = "English",
location = "RWTH-AC-DFV: Bibl., CL 10 I-IV",
references = "0",
revision = "21/04/91",
}
@Misc{Hulshof:1983:R,
author = "B. Hulshof and A. van Hulzen and others",
title = "{REDUCE}",
volume = "17",
number = "1",
publisher = "ACM SIGSAM",
pages = "16--44",
year = "1983",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1983.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
annote = "Titles of articles: Some REDUCE facilities for pretty
printing subscripts and formal derivatives. --- About
the realization of an extended, but really interactive
REDUCE by integration of a small editing and executing
system. --- REDUCE 2 for CP/M. --- A comparison of the
MACSYMA and REDUCE. --- Data structures and execution
times of algebraic mode programs for REDUCE. --- A
REDUCE package for series analysis by Hadamard's
theorem and QD schemes.",
country = "USA",
date = "29/04/83",
descriptors = "REDUCE; MACSYMA; LISP; operating system; symbolic
algebraic computation;",
enum = "1437",
language = "English",
location = "RWTH-AC-DFV: Bibl.",
references = "0",
revision = "19/03/92",
}
@Article{Hulshof:1983:SRF,
author = "B. J. A. Hulshof and J. A. {van Hulzen}",
title = "Some {REDUCE} Facilities for Pretty Printing
Subscripts and Formal Derivatives",
journal = j-SIGSAM,
volume = "17",
number = "1",
pages = "16--20",
month = feb,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6130 (Data handling techniques)",
corpsource = "Dept. of Computer Sci. Twente Univ. of Technol.,
Enschede, Netherlands",
fjournal = "SIGSAM Bulletin",
issue = "65",
keywords = "array subscripts; formal derivatives; matrix
subscripts; pretty; printing subscripts; Reduce; REDUCE
facilities; Standard LISP; text editing",
treatment = "P Practical",
}
@Article{Kruse:1983:ARE,
author = "Hans-Guenther Kruse and Karin Ohlsen",
title = "About the Realization of an Extended, but Really
Interactive {REDUCE} by Integration of a Small Editing
and Executing System",
journal = j-SIGSAM,
volume = "17",
number = "1",
pages = "21--25",
month = feb,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6130 (Data handling techniques); C6150J (Operating
systems)",
corpsource = "Univ. Mannheim, Mannheim, West Germany",
fjournal = "SIGSAM Bulletin",
issue = "65",
keywords = "data handling; editing; executing system; IBM-like;
interactive REDUCE; machines; operating systems;
operating systems (computers); Reduce; symbolic
calculations; text editing",
treatment = "P Practical",
}
@Article{Marti:1983:RCM,
author = "Jed Marti and John Fitch",
title = "{REDUCE} 2 for {CP/M}",
journal = j-SIGSAM,
volume = "17",
number = "1",
pages = "26--27, 37",
month = feb,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6150C (Compilers, interpreters and other processors);
C6150J (Operating systems)",
corpsource = "Univ. of Bath, Bath, UK",
fjournal = "SIGSAM Bulletin",
issue = "65",
keywords = "64K; byte Z80 CP/M microcomputer systems; compilers;
computer algebra; CP/M; interpreters; NLARGE; operating
systems (computers); OS; parsers; program; program
compilers; REDUCE 2; system; UOLISP compiler",
treatment = "P Practical",
}
@Article{Norman:1983:CVR,
author = "Arthur C. Norman and Paul S. Wang",
title = "A comparison of the {Vaxima} and {Reduce}
factorization packages",
journal = j-SIGSAM,
volume = "17",
number = "1",
pages = "28--30",
month = feb,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6150C (Compilers, interpreters and other processors);
C7310 (Mathematics computing)",
corpsource = "Computer Lab., Univ. of Cambridge, Cambridge, UK",
fjournal = "SIGSAM Bulletin",
issue = "65",
keywords = "compilers; factorization packages; Macsyma;
mathematics; program compilers; program interpreters;
Reduce; REDUCE; Reduce; Vaxima",
treatment = "P Practical",
}
@Article{Pearce:1983:DSE,
author = "P. D. Pearce and R. J. Hicks",
title = "Data structures and execution times of {Algebraic}
mode programs for {REDUCE}",
journal = j-SIGSAM,
volume = "17",
number = "1",
pages = "31--37",
month = feb,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6130 (Data handling techniques)",
corpsource = "School of Electronic Engng. and Computer Sci.,
Kingston Polytech., Kingston, UK",
fjournal = "SIGSAM Bulletin",
issue = "65",
keywords = "algebraic mode programs; data handling; data
structures; execution times; ordering of identifiers;
REDUCE; Reduce",
treatment = "P Practical",
}
@Article{Schwarz:1983:RPS,
author = "Fritz Schwarz",
title = "A {REDUCE} Package for Series Analysis by {Hadamard}'s
Theorem and {QD} Schemes",
journal = j-SIGSAM,
volume = "17",
number = "1",
pages = "38--44",
month = feb,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis); C7310 (Mathematics
computing)",
corpsource = "Fachbereich Phys., Univ. Kaiserslautern,
Kaiserslautern, West Germany",
fjournal = "SIGSAM Bulletin",
issue = "65",
keywords = "analytic; branch points; functional analysis;
functions; Hadamard's; infinite; lattice gauge
theories; mathematics; poles; power series; precision
integer arithmetic; QD schemes; Reduce; REDUCE package;
series analysis; statistical physics; theorem",
treatment = "T Theoretical or Mathematical",
}
@Article{Smith:1983:IMM,
author = "Paul Smith and Leon Sterling",
title = "Of integration by man and machine",
journal = j-SIGSAM,
volume = "17",
number = "3--4",
pages = "21--24",
month = aug # "\slash " # nov,
year = "1983",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:58 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Dept. of Math., Univ. of Dundee, Dundee, UK",
fjournal = "SIGSAM Bulletin",
issue = "67/68",
keywords = "algorithms; engineering; integration; integration
package; machine; man; nontrivial symbol manipulation;
REDUCE; simplification; symbolic",
subject = "J.2 Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Engineering \\ G.1.0 Mathematics of
Computing, NUMERICAL ANALYSIS, General, Computer
arithmetic \\ G.1.4 Mathematics of Computing, NUMERICAL
ANALYSIS, Quadrature and Numerical Differentiation,
Equal interval integration",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Caprasse:1984:DUD,
author = "H. Caprasse",
title = "Description et Utilisation d'Une Extension du
Programme {REDUCE}",
institution = "Physique Th{\'e}orique et Math{\'e}matique,
Universit{\'e} de Li{\`e}ge",
address = "Li{\`e}ge, Belgium",
month = oct,
year = "1984",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Kryukov:1984:ARL,
author = "A. P. Kryukov",
title = "An Antitranslator of the {RLISP} Language",
journal = j-SIGSAM,
volume = "18",
number = "3",
pages = "12--15",
month = aug,
year = "1984",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C6140D (High level languages); C6150C (Compilers,
interpreters and other processors)",
corpsource = "Inst. of Nucl. Phys., Moscow State Univ., USSR",
fjournal = "SIGSAM Bulletin",
issue = "71",
keywords = "antitranslator; language; LISP; program interpreters;
RECONSTRUCTOR program; REDUCE system language; RLISP
language",
treatment = "P Practical",
}
@InProceedings{McCrea:1984:URF,
author = "J. D. McCrea",
booktitle = "Classical General Relativity",
title = "The Use of {REDUCE} in Finding Exact Solutions of the
Quadratic {Poincar{\'e}} Gauge Field Equations",
publisher = "Cambridge University",
pages = "173--182",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@MastersThesis{Podgorak:1984:ARC,
author = "E. Podg{\'o}rak and I. Romanowska",
title = "Application of {REDUCE} 2 to the Construction of
Recurrence Relations",
school = "Institute of Computer Science, University of Wroclaw",
address = "Wroclaw, Poland",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Rodinov:1984:WNC,
author = "A. Ya. Rodinov",
title = "Work with non-commutative variables in the {Reduce-2}
system for analytical calculations",
journal = j-SIGSAM,
volume = "18",
number = "3",
pages = "16--19",
month = aug,
year = "1984",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6140D (High level languages); C7310 (Mathematics
computing)",
corpsource = "Inst. of Nucl. Phys., Moscow State Univ., USSR",
fjournal = "SIGSAM Bulletin",
issue = "71",
keywords = "analytical calculations; commutation rules; delta
functions; high level languages; Kronecker symbols;
mathematics; program package; Reduce; Reduce-2 system",
treatment = "P Practical",
}
@TechReport{Ackerman:1985:ASE,
author = "A. Ackerman",
title = "Analysis of a Systematic Error in Field Measurements
of Quadrupole Magnets, Using the Algebraic Software
Package {Reduce}",
number = "DESY-M-85-10",
institution = "????",
address = "????",
pages = "????",
year = "1985",
bibdate = "Sat Sep 13 18:02:55 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Bates:1985:GAC,
author = "B. L. Bates",
title = "{GENTRAN}: an automatic code generation facility for
{REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "24--42",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Sat Aug 13 17:21:21 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
keywords = "algorithms; design; languages",
subject = "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
Code generation \\ D.3.3 Software, PROGRAMMING
LANGUAGES, Language Constructs, Control structures \\
D.3.3 Software, PROGRAMMING LANGUAGES, Language
Constructs, Procedures, functions, and subroutines \\
D.3.2 Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN \\ G.1 Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization",
}
@Article{Caprasse:1985:NUO,
author = "H. Caprasse and M. Hans",
title = "A new use of operators in the algebraic mode of
{REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "46--52",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Inst. de Phys. au Sart Tilman, Li{\`e}ge Univ.,
Belgium",
fjournal = "SIGSAM Bulletin",
issue = "75",
keywords = "algebra; algebraic language; bag; calculus; design;
IBM 4341/2; languages; performance; property; REDUCE
algebra system; software packages; tensor calculus;
version 3.0; version 3.1",
subject = "F.4.3 Theory of Computation, MATHEMATICAL LOGIC AND
FORMAL LANGUAGES, Formal Languages, Algebraic language
theory \\ D.4.7 Software, OPERATING SYSTEMS,
Organization and Design, Interactive systems",
treatment = "P Practical",
}
@Article{Demichev:1985:RPC,
author = "A. P. Demichev and A. Ya. Rodinov",
title = "A {REDUCE} Program for the Calculation of Geometrical
Characteristics of Compactified Multidimensional
{Riemannian} Space",
journal = j-COMP-PHYS-COMM,
volume = "38",
pages = "441--448",
year = "1985",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "Covariant theories in N dimensional ($N \geq 4$)
space-time. {REDUCE} programs to calculate {Ricci,
Einstein and Yang--Mills} curvature and energy-momentum
tensor.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Eliseev:1985:RPD,
author = "V. P. Eliseev and R. N. Fedorova and V. V. Kornyak",
title = "A {REDUCE} Program for Determining Point and Contact
{Lie} Symmetries of Differential Equations",
journal = j-COMP-PHYS-COMM,
volume = "36",
number = "4",
pages = "383--389",
month = jun,
year = "1985",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "Joint Inst for Nuclear Research, Lab of Computing
Techniques \& Automation, Moscow, USSR",
affiliationaddress = "Joint Inst for Nuclear Research, Lab of
Computing Techniques \& Automation, Moscow, USSR",
classification = "723; 921",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; computer software; lie symmetries;
mathematical techniques --- Differential Equations",
}
@Article{Fitch:1985:SAP,
author = "John P. Fitch",
title = "Solving algebraic problems with {REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "2",
pages = "211--228 (or 211--227??)",
month = jun,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/auto.diff.bib; Theory/Comp.Alg.1.bib;
Theory/reduce.bib",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Reduce",
referred = "[Char91a].",
}
@Article{Gates:1985:GAC,
author = "Barbara L. Gates",
title = "{GENTRAN}: an automatic code generation facility for
{REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "24--42",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib; Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6115 (Programming support); C6150C (Compilers,
interpreters and other processors); C7310 (Mathematics
computing)",
corpsource = "Dept. of Comput. Sci., Twente Univ. of Technol.,
Enschede, Netherlands",
fjournal = "SIGSAM Bulletin (ACM Special Interest Group on
Symbolic and Algebraic Manipulation)",
issue = "75",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J1000",
keywords = "algebra; algebra package; algorithms; application
generators; assignment; automatic code generation; code
optimizer; design; expression; file handling; GENTRAN;
languages; numerical programs; program interpreters;
REDUCE; RLISP; segmentation facility; statements;
template files; translation package",
subject = "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
Code generation \\ D.3.3 Software, PROGRAMMING
LANGUAGES, Language Constructs, Control structures \\
D.3.3 Software, PROGRAMMING LANGUAGES, Language
Constructs, Procedures, functions, and subroutines \\
D.3.2 Software, PROGRAMMING LANGUAGES, Language
Classifications, FORTRAN \\ G.1 Mathematics of
Computing, NUMERICAL ANALYSIS, Optimization",
treatment = "P Practical",
}
@TechReport{Gates:1985:GDI,
author = "Barbara L. Gates",
title = "Gentran Design and Implementation, {REDUCE} Version",
type = "Memorandum",
number = "Memorandum INF-85-12",
institution = "Twente University of Technology, Department of
Computer Science",
address = "Enschede, The Netherlands",
month = aug,
year = "1985",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib",
keywords = "Reduce",
}
@TechReport{Gates:1985:GUM,
author = "Barbara L. Gates",
title = "Gentran User's Manual --- {REDUCE} Version",
type = "Memorandum",
number = "INF-85-11",
institution = "Twente University of Technology, Department of
Computer Science",
address = "Enschede, The Netherlands",
month = jun,
year = "1985",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@Article{Gerdt:1985:CAA,
author = "V. P. Gerdt and A. B. Shvachka and A. Yu. Zharkov",
title = "Computer algebra application for classification of
integrable non-linear evolution equations",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "1",
pages = "101--107",
month = mar,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "35Q20 (35-04 58G37 65M99)",
MRnumber = "87d:35116",
MRreviewer = "S. V. Duzhin",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib; Theory/Comp.Alg.1.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Differential Equations, FORMAC; integrability tests
PDEs oderef, Reduce",
}
@InProceedings{Hulshof:1985:ECP,
author = "B. J. A. Hulshof and J. A. {van Hulzen}",
title = "An expression compression package for {REDUCE} based
on factorization and controlled expansion",
crossref = "Buchberger:1985:PEE",
volume = "2",
pages = "315--316",
year = "1985",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C6130 (Data handling techniques)",
corpsource = "Dept. of Comput. Sci., Twente Univ. of Technol.,
Enschede, Netherlands",
keywords = "Computer Algebra Systems; controlled expansion;
expression compression package; factorization; MACSYMA;
REDUCE; simplification rules; symbol manipulation;
visual inspection",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Ito:1985:RPE,
author = "M. Ito",
title = "A {REDUCE} Program for Evaluating a {Lax} Pair Form",
journal = j-COMP-PHYS-COMM,
volume = "34",
pages = "325--331",
year = "1985",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "{REDUCE} in nonlinear equations.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Ito:1985:RPF,
author = "Masaaki Ito and Fujio Kako",
title = "A {REDUCE} Program for Finding Conserved Densities of
Partial Differential Equations with Uniform Rank",
journal = j-COMP-PHYS-COMM,
volume = "38",
number = "3",
pages = "415--419",
month = dec,
year = "1985",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 14:09:53 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Hiroshima Univ, Hiroshima, Jpn",
classification = "723; 921",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; computer program Reduce; computer
software; mathematical techniques --- Differential
Equations",
}
@Article{Kolbig:1985:EEC,
author = "K. S. K{\"o}lbig",
title = "Explicit Evaluation of Certain Definite Integrals
Involving Powers of Logarithms",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "1",
pages = "109--114",
month = mar,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "65D15 (65-04)",
MRnumber = "87b:65023",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Definite Integration; Reduce",
}
@Article{Kryukov:1985:DDS,
author = "A. P. Kryukov and A. Ya. Rodinov",
title = "Dynamic-Debugging System for the {REDUCE} Programs",
journal = j-SIGSAM,
volume = "19",
number = "2",
pages = "34--37",
month = may,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "Ai/lisp.bib; http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6140D (High level languages); C6150G (Diagnostic,
testing, debugging and evaluating systems)",
corpsource = "Inst. of Nucl. Phys., Moscow State Univ., USSR",
fjournal = "SIGSAM Bulletin",
issue = "74",
keyword = "LISP",
keywords = "debugger; design; dynamic-debugging system;
evaluation; high level languages; input language;
languages; LISP; operational experience; program
debugging; Reduce; RLISP",
subject = "D.2.5 Software, SOFTWARE ENGINEERING, Testing and
Debugging, Debugging aids \\ D.3.3 Software,
PROGRAMMING LANGUAGES, Language Constructs,
Input/Output \\ D.3.2 Software, PROGRAMMING LANGUAGES,
Language Classifications, LISP",
treatment = "P Practical",
}
@Article{Kryukov:1985:IR,
author = "A. P. Kryukov and A. Ya. Rodinov",
title = "Interactive {REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "43--45",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib; Theory/symbolic.math.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Inst. of Nucl. Phys., Moscow State Univ., USSR",
fjournal = "SIGSAM Bulletin",
issue = "75",
keywords = "algebra; algebra system; design; interactive mode;
interactive systems; REDUCE-2; reliability; software
packages",
subject = "D.4.7 Software, OPERATING SYSTEMS, Organization and
Design, Interactive systems \\ G.1.0 Mathematics of
Computing, NUMERICAL ANALYSIS, General, Computer
arithmetic \\ D.2.5 Software, SOFTWARE ENGINEERING,
Testing and Debugging, Diagnostics \\ D.4.2 Software,
OPERATING SYSTEMS, Storage Management, Main memory",
treatment = "P Practical",
}
@Article{Kyrukov:1985:IR,
author = "A. P. Kyrukov and A. Ya. Rodinov",
title = "Interactive {REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "43--45",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Inst. of Nucl. Phys., Moscow State Univ., USSR",
fjournal = "SIGSAM Bulletin",
keywords = "algebra; algebra system; interactive mode; interactive
systems; REDUCE-2; software packages",
treatment = "P Practical",
}
@Article{Leler:1985:IGI,
author = "Wm Leler and Neil Soiffer",
title = "An Interactive Graphical Interface for {REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "17--23",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib; Theory/symbolic.math.bib",
acknowledgement = ack-nhfb,
classcodes = "C6130B (Graphics techniques); C7310 (Mathematics
computing)",
corpsource = "Comput. Res. Lab., Tektronix Inc., Beaverton, OR,
USA",
fjournal = "SIGSAM Bulletin",
issue = "75",
keywords = "algebra; algebra systems; bit-mapped displays;
computer graphics; design; economics; human factors;
interactive graphical interface; interactive systems;
mathematical expressions; REDUCE; workstation",
subject = "I.3.6 Computing Methodologies, COMPUTER GRAPHICS,
Methodology and Techniques, Interaction techniques \\
I.3.1 Computing Methodologies, COMPUTER GRAPHICS,
Hardware architecture, Input devices \\ D.2.3 Software,
SOFTWARE ENGINEERING, Coding, Pretty printers \\ D.3.2
Software, PROGRAMMING LANGUAGES, Language
Classifications, Very high-level languages",
treatment = "P Practical",
}
@Article{Marti:1985:RLB,
author = "Jed B. Marti and Anthony C. Hearn",
title = "{REDUCE} as a {Lisp} benchmark",
journal = j-SIGSAM,
volume = "19",
number = "3",
pages = "8--16",
month = aug,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "Ai/lisp.bib; http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib; Theory/symbolic.math.bib",
acknowledgement = ack-nhfb,
classcodes = "C5470 (Performance evaluation and testing); C6150G
(Diagnostic, testing, debugging and evaluating
systems); C7310 (Mathematics computing)",
corpsource = "Rand Corp., Santa Monica, CA, USA",
fjournal = "SIGSAM Bulletin",
issue = "75",
keyword = "LISP",
keywords = "algebra; computer testing; execution times; languages;
LISP; LISP benchmark; LISP systems; machine
architectures; performance; processor performance;
program testing; REDUCE test program",
subject = "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
Numerical Linear Algebra, Matrix inversion \\ C.0
Computer Systems Organization, GENERAL, System
architectures \\ D.3.2 Software, PROGRAMMING LANGUAGES,
Language Classifications, LISP \\ G.1.0 Mathematics of
Computing, NUMERICAL ANALYSIS, General, Computer
arithmetic \\ F.3.3 Theory of Computation, LOGICS AND
MEANINGS OF PROGRAMS, Studies of Program Constructs,
Program and recursion schemes",
treatment = "P Practical",
}
@Article{Mazzarella:1985:ISO,
author = "Giuseppe Mazzarella",
title = "Improved Simplification of Odd and Even Functions in
{REDUCE}",
journal = j-SIGSAM,
volume = "19",
number = "2",
pages = "29--30",
month = may,
year = "1985",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Oct 5 08:31:59 MDT 2005",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C6150C (Compilers, interpreters and other
processors)",
corpsource = "Dipartiments Ingegneria Elettronica, Napoli, Italy",
fjournal = "SIGSAM Bulletin",
issue = "74",
keywords = "algebra; argument; design; even functions; functions;
interpreters; odd functions; program; program
interpreters; REDUCE; Reduce; REDUCE; simplification;
standard form; symmetry of functions",
subject = "I.1.1 Computing Methodologies, ALGEBRAIC MANIPULATION,
Expressions and Their Representation, Simplification of
expressions \\ I.1 Computing Methodologies, ALGEBRAIC
MANIPULATION, Languages and Systems",
treatment = "P Practical",
xxauthor = "G. Mazzarell",
}
@Article{Navarro-Saad:1985:AFT,
author = "Miguel Navarro-Saad and Kurt Bernardo Wolf",
title = "Applications of a Factorization Theorem for
Ninth-order Aberration Optics",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "2",
pages = "235--240 (or 235--239??)",
month = jun,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "78A05 (78-04)",
MRnumber = "87b:78003",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Factorization, Optics, REDUCE",
xxtitle = "Applications of a factorisation theorem for
ninth-order aberration optics",
}
@Article{Rizzi:1985:USC,
author = "Nicola Rizzi and Amabile Tatone",
title = "Using Symbolic Computation in Buckling Analysis",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "3",
pages = "317--322 (or 317--321??)",
month = sep,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "73-08 (73H05)",
MRnumber = "87h:73006",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Differential Equations, REDUCE",
}
@Article{Schwarz:1985:ADP,
author = "Fritz Schwarz",
title = "An Algorithm for Determining Polynomial First
Integrals of Autonomous Systems of Ordinary
Differential Equations",
journal = j-J-SYMBOLIC-COMP,
volume = "1",
number = "2",
pages = "229--234 (or 229--233??)",
month = jun,
year = "1985",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "34A45 (58F05)",
MRnumber = "818 879",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib; Theory/Comp.Alg.1.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Differential Equations; REDUCE; Gr{\"o}bner Bases;
Reduce; ODEs first integrals",
}
@Article{Schwarz:1985:ADS,
author = "F. Schwarz",
title = "Automatically Determining Symmetries of Partial
Differential Equations",
journal = "Computing (Vienna/New York)",
volume = "34",
number = "2",
pages = "91--106",
year = "1985",
CODEN = "CMPTA2",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Gesellschaft f{\"u}r Mathematik und Datenverarbeitung,
St. Augustin, West Ger",
affiliationaddress = "Gesellschaft f{\"u}r Mathematik und
Datenverarbeitung, St. Augustin, West Ger",
classification = "723; 921",
journalabr = "Computing (Vienna/New York)",
keywords = "computer programming --- Algorithms; Differential
Equations; mathematical techniques; partial
differential equations; Reduce package",
}
@InProceedings{Soma:1985:RAR,
author = "Takashi Soma",
booktitle = "Proc. of the Second {RIKEN} International Symposium on
Symbolic and Algebraic Computation by Computers",
title = "Recent Applications of {REDUCE} in {RIKEN}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "181--182",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Wanas:1985:MPI,
author = "M. I. Wanas",
booktitle = "Tenth International Congress for Statistics, Computer
Science, Social and Demographic Research",
title = "Manipulation of Parameters Indicating the Physical
Significance of any Absolute Parallelism Space Using
{REDUCE} 2",
publisher = "????",
address = "????",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Wright:1985:EIA,
author = "F. J. Wright and G. Dangelmayr",
title = "Explicit iterative algorithms to reduce a univariate
catastrophe to normal form",
journal = j-COMPUTING,
volume = "35",
number = "1",
pages = "73--83",
year = "1985",
CODEN = "CMPTA2",
DOI = "http://dx.doi.org/10.1007/BF02240148",
ISSN = "0010-485X",
ISSN-L = "0010-485X",
MRclass = "58C28 (58C27 68Q40)",
MRnumber = "809680 (87c:58019)",
MRreviewer = "M. J. Sewell",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archives for Scientific Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "catastrophe theory; Reduce computer-algebra system;
reduction to normal form; right equivalence",
}
@Article{Boege:1986:SES,
author = "W. Boege and R. Gebauer and H. Kredel",
title = "Some Examples for Solving Systems of Algebraic
Equations by Calculating {Gr{\"o}bner} Bases",
journal = j-J-SYMBOLIC-COMP,
volume = "2",
number = "1",
pages = "83--98",
month = mar,
year = "1986",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "12-04 (11Y16 13-06 68Q40)",
MRnumber = "87d:12001",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. for Appl. Math., Heidelberg Univ., West
Germany",
countrypub = "UK A05",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Reduce; polynomials; Buchberger algorithm; algebraic
equations; Gr{\"o}bner bases; coefficient domains;
variable ordering; term ordering; computing time; space
allocation; SAC-2; REDUCE",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Bradford:1986:ERD,
author = "R. J. Bradford and A. C. Hearn and J. A. Padget and E.
Schr{\"u}fer",
booktitle = "Proceedings of the 1986 Symposium on Symbolic and
Algebraic Computation",
title = "Enlarging the {REDUCE} Domain of Computation",
publisher = "????",
address = "????",
pages = "100--106",
day = "21--23",
month = jul,
year = "1986",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/symbolic.math.bib",
}
@Article{Caprasse:1986:CSP,
author = "H. Caprasse",
title = "A complete simplification package for the absolute
value function in {REDUCE}",
journal = j-SIGSAM,
volume = "20",
number = "1 and 2",
pages = "18--21",
month = feb # "\slash " # may,
year = "1986",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Wed Aug 17 02:14:43 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/sigsam.bib",
note = "Implementation for {REDUCE} 3.2 of the function
{ABS}.",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
keywords = "languages",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, REDUCE",
}
@Article{Caprasse:1986:DEM,
author = "H. Caprasse",
title = "Description of an extension of the Matrix package of
``{Reduce}''",
journal = j-SIGSAM,
volume = "20",
number = "4",
pages = "7--10",
month = dec,
year = "1986",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra); C4140 (Linear algebra)",
corpsource = "Inst. de Phys. au Sart Tilman, Li{\`e}ge Univ.,
Belgium",
fjournal = "SIGSAM Bulletin",
keywords = "algebraic; algorithms; Hearn; languages; matrix;
matrix algebra; matrix package; matrix subprogram;
mode; reduce",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, REDUCE \\ F.2.1 Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on matrices",
treatment = "P Practical",
}
@Article{Duncan:1986:RUM,
author = "Anthony Duncan and Ralph Roskies",
title = "Representations of Unusual Mathematical Structures in
Scientific Applications of Symbolic Computation",
journal = j-J-SYMBOLIC-COMP,
volume = "2",
number = "2",
pages = "201--206 (or 201--207??)",
month = jun,
year = "1986",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/symbolic.math.bib",
abstract = "We present examples of techniques we have used to
apply {REDUCE} to problems in particle physics which
have mathematical structures unknown to {REDUCE}.",
acknowledgement = ack-nhfb,
classcodes = "C6130 (Data handling techniques); C7310 (Mathematics
computing)",
corpsource = "Dept. of Phys. and Astron., Pittsburgh Univ., PA,
USA",
countrypub = "UK A06",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "anti-commuting; FORTRAN code; Gross--Neveu;
mathematical structures; model; operators; particle
physics; REDUCE, particle physics, numerics; scientific
applications; symbol manipulation; symbolic
computation; unusual mathematical structures",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Feldmar:1986:RPM,
author = "E. Feldmar and K. S. {K{\"o}lbig}",
title = "{Reduce} Procedures for the Manipulation of
Generalized Power Series",
journal = j-COMP-PHYS-COMM,
volume = "39",
number = "2",
pages = "267--284",
month = feb # "\slash " # mar,
year = "1986",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(86)90137-2",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "CERN, Geneva, Switz",
classification = "723; 921",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; computer programming --- Algorithms;
computer software; mathematical techniques ---
Applications; power series; Reduce",
}
@TechReport{Flatau:1986:SAA,
author = "Piotr J. Flatau and John P. Boyd and William R.
Cotton",
title = "Symbolic Algebra in Applied Mathematics and
Geophysical Fluid Dynamics --- {REDUCE} Examples",
institution = "Dept. of Atmospheric and Oceanic Science, University
of Michigan, and Dept. of Atmospheric Science, Colorado
State University",
address = "Ann Arbor, MI, USA and Ft. Collins, CO, USA",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Gates:1986:NCG,
author = "Barbara L. Gates",
booktitle = "Proceedings of the 1986 Symposium on Symbolic and
Algebraic Computation",
title = "A Numerical Code Generation Facility for {REDUCE}",
publisher = "????",
address = "????",
pages = "94--99",
day = "21--23",
month = jul,
year = "1986",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/symbolic.math.bib",
}
@Article{Kotorynski:1986:SLF,
author = "W. P. Kotorynski",
title = "Steady Laminar Flow Through a Twisted Pipe of
Elliptical Cross-Section",
journal = j-COMP-FLUIDS,
volume = "14",
number = "4",
pages = "433--444",
year = "1986",
CODEN = "CPFLBI",
ISSN = "0045-7930",
ISSN-L = "0045-7930",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Univ of Victoria, Victoria, BC, Can",
classification = "619; 631; 723; 921",
fjournal = "Computers and Fluids",
journalabr = "Comput Fluids",
keywords = "computer programming languages; flow of fluids;
Laminar; mathematical techniques --- Perturbation
Techniques; pipe; Reduce",
}
@InProceedings{Krynko:1986:DRE,
author = "A. Krynko",
booktitle = "SYMSAC'86 --- Proceedings of the 1986 Symposium on
Symbolic and Algebraic Manipulation",
title = "Dialogue in {REDUCE}: Experience and Development",
publisher = pub-ACM,
address = "Waterloo, Ontario, Canada",
pages = "107--109",
month = jul,
year = "1986",
ISBN = "0-89791-199-7",
ISBN-13 = "978-0-89791-199-3",
bibsource = "Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
}
@InProceedings{Kryukov:1986:CRA,
author = "A. P. Kryukov and A. Y. Rodinov and G. L. Litvinov",
booktitle = "Proceedings of the 1986 Symposium on Symbolic and
Algebraic Computation",
title = "Construction of Rational Approximations by Means of
{REDUCE}",
publisher = "????",
address = "????",
pages = "31--33",
day = "21--23",
month = jul,
year = "1986",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/symbolic.math.bib",
}
@InProceedings{Kryukov:1986:DRE,
author = "A. P. Kryukov",
booktitle = "Proceedings of the 1986 Symposium on Symbolic and
Algebraic Computation",
title = "Dialogue in {REDUCE}: Experience and Development",
publisher = "????",
address = "????",
pages = "107--109",
day = "21--23",
month = jul,
year = "1986",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/symbolic.math.bib",
}
@InProceedings{Kryukov:1986:URC,
author = "A. P. Kryukov and A. Y. Rodinov",
booktitle = "Proceedings of the 1986 Symposium on Symbolic and
Algebraic Computation",
title = "Usage of {Reduce} for Computations of
Group-Theoretical Weight of {Feynman} Diagrams in
{Non-Abelian} Gauge Theories",
publisher = "????",
address = "????",
pages = "91--93",
day = "21--23",
month = jul,
year = "1986",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/symbolic.math.bib",
}
@Article{Schwarz:1986:RPD,
author = "Fritz Schwarz",
title = "A {REDUCE} Package for Determining First Integrals of
Autonomous Systems of Ordinary Differential Equations",
journal = j-COMP-PHYS-COMM,
volume = "39",
number = "2",
pages = "285--296",
month = feb # "\slash " # mar,
year = "1986",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(86)90138-4",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "GMD, St. Augustin, West Ger",
annote = "Description of package DISSYS in REDUCE.",
classification = "723; 921",
comment = "Description of package {DISSYS} in {REDUCE}.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; autonomous systems; computer program
dissys; computer software; mathematical techniques ---
Differential Equations; Reduce; Reduce package",
}
@Article{vandenHeuvel:1986:ASR,
author = "Pim {van den Heuvel}",
title = "Adding statements to {REDUCE}",
journal = j-SIGSAM,
volume = "20",
number = "1 and 2",
pages = "8--14",
month = feb # "\slash " # may,
year = "1986",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Sat Aug 13 17:21:21 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
keywords = "languages, Reduce",
subject = "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
Parsing \\ I.1.3 Computing Methodologies, ALGEBRAIC
MANIPULATION, Languages and Systems, REDUCE",
}
@TechReport{vandenHeuvel:1986:SER,
author = "Pim {van den Heuvel}",
title = "Some Experiments in {REDUCE} Related to the
Calculation of {Gr{{\"o}}bner} Bases",
institution = "Twente University of Technology, Department of
Computer Science",
address = "Enschede, The Netherlands",
month = jun,
year = "1986",
bibdate = "Tue Feb 13 07:11:00 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@Article{Anderson:1987:IOL,
author = "J. Wayne Anderson and William F. Galway and Robert R.
Kessler and Herbert Melenk and Winfried Neun",
title = "Implementing and Optimizing {Lisp} for the {Cray}",
journal = j-IEEE-SOFTWARE,
volume = "4",
number = "4",
pages = "74--83",
month = jul,
year = "1987",
CODEN = "IESOEG",
DOI = "http://dx.doi.org/10.1109/MS.1987.231067",
ISSN = "0740-7459 (print), 0740-7459 (electronic)",
ISSN-L = "0740-7459",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Los Alamos Natl Lab, NM, USA",
classification = "723",
fjournal = "IEEE Software",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/software",
journalabr = "IEEE Software",
keywords = "computer programming languages; computer software ---
Portability; lisp; portable common lisp version; Reduce
symbolic algebra package",
}
@Article{Brackx:1987:CAR,
author = "Freddy Brackx and Denis Constales and Richard Delanghe
and Herman Serras",
title = "{Clifford} algebra with {REDUCE}",
journal = "Rend. Circ. Mat. Palermo (2) Suppl.",
volume = "16",
pages = "11--19",
year = "1987",
MRclass = "15A66 (68Q40 68U30)",
MRnumber = "946708 (89i:15035)",
MRreviewer = "Horia Scutaru",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Proceedings of the Winter School on Geometry and
Physics (Srn{\'\i}, 1987).",
acknowledgement = ack-nhfb,
fjournal = "Rendiconti del Circolo Matematico di Palermo. Serie
II. Supplemento",
keywords = "Reduce computer-algebra system",
}
@InProceedings{Dulyan:1987:CQT,
author = "L. S. Dulyan",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "The Calculation of {QCD} Triangular {Feynman} Graphs
in the External Gluonic Field Using {REDUCE-2} System",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "172--173",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Eastwood:1987:OAR,
author = "James W. Eastwood",
title = "{ORTHOVEC}: {A REDUCE} Program for {3-D} Vector
Analysis in Orthogonal Curvilinear Coordinates",
journal = j-COMP-PHYS-COMM,
volume = "47",
number = "1",
pages = "139--147",
month = oct,
year = "1987",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/0010-4655(87)90073-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C1110 (Algebra); C7310 (Mathematics); C7320 (Physics
and Chemistry)",
corpsource = "Culham Lab., UKAEA, Abingdon, UK",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "addition; algebra; cross products; curl;
differentiation; div; division; expansion; grad;
integration; Laplacian; mathematics; modulus;
operations; orthogonal curvilinear coordinates;
ORTHOVEC; physics computing; procedures; REDUCE;
scalars; subtraction; Taylor; vectors",
treatment = "P Practical",
}
@Article{Elishakoff:1987:ASA,
author = "Isaac Elishakoff and Brian Couch",
title = "Application of Symbolic Algebra to the Instability of
a Nonconservative System",
journal = j-J-SYMBOLIC-COMP,
volume = "4",
number = "3",
pages = "391--396",
month = dec,
year = "1987",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A0230 (Function theory, analysis); A0270
(Computational techniques); A4630L (Buckling and
instability); C1110 (Algebra); C1120 (Analysis); C7310
(Mathematics); C7320 (Physics and Chemistry)",
corpsource = "Dept. of Mech. Eng., Naval Postgraduate Sch.,
Monterey, CA, USA",
countrypub = "UK A07",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra; buckling; computer; computing; differential
equations; flutter buckling; follower force;
foundation; Galerkin method; instability; manipulation;
mathematics; mechanical stability; nonconservative
system; physics computing; Reduce; REDUCE, physics;
symbol; symbolic algebra; tapered column; uniform
elastic",
treatment = "T Theoretical or Mathematical",
xxtitle = "Applications of Symbolic Algebra to the Instability of
a Nonconservative System",
}
@Manual{Gates:1987:GUM,
author = "B. L. Gates",
title = "{GENTRAN} User's Manual, {REDUCE} Version",
organization = "The RAND Corporation",
address = "Santa Monica, CA, USA",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/auto.diff.bib",
referred = "[Gold91a].",
}
@Article{Greenberg:1987:CAA,
author = "Harvey J. Greenberg",
title = "Computer-Assisted Analysis for Diagnosing Infeasible
or Unbounded Linear Programs",
journal = j-MATH-PROG-STUDY,
volume = "31",
number = "??",
pages = "79--97",
month = sep,
year = "1987",
CODEN = "MPSTDF",
ISSN = "0303-3929",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classification = "723; 921",
fjournal = "Mathematical Programming Study",
journalabr = "Math Program Study",
keywords = "coefficient screening; computer aided analysis; cycle
generation; infeasibility; mathematical programming,
linear; Reduce procedures; unbounded linear programs",
}
@TechReport{Hearn:1987:RUM,
author = "Anthony C. Hearn",
title = "{REDUCE} User's Manual, {Version} 3.3",
type = "Report",
number = "CP 78",
institution = "The RAND Corporation",
address = "Santa Monica, CA, USA",
month = jul,
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib",
keywords = "Reduce",
}
@InProceedings{Kazasov:1987:LTR,
author = "C. Kazasov",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "{Laplace} Transformations in {REDUCE 3}",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "132--133",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Kornyak:1987:RPC,
author = "V. V. Kornyak and R. N. Fedorova",
title = "A {REDUCE} Program to Calculate Determining Equations
of {Lie-Baecklund} Symmetries of Differential
Equations",
number = "P11-87-19",
institution = "J.I.N.R.",
address = "Dubna, USSR",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Kryukov:1987:CAD,
author = "A. P. Kryukov and A. Ya. Rodinov",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "{CTS} --- Algebraic Debugging System for {REDUCE}
Programs",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "233--243",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Kryukov:1987:PCR,
author = "A. P. Kryukov and A. Ya. Rodinov and V. A.
Rostovtsev",
title = "Pattern Compilation in {REDUCE}",
number = "P11-87-302",
institution = "J.I.N.R.",
address = "Dubna, USSR",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@InProceedings{Liska:1987:EPF,
author = "R. Liska and D. Drska",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "Evaluation of Plasma Fluid Equations Collision
Integrals Using {REDUCE}",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "178",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Ogilvie:1987:ASC,
author = "J. F. Ogilvie and R. H. Tipping",
title = "On the Analytic Solution by Computer Algebra of Some
Problems in the Vibration-rotational Spectroscopy of
Diatomic Molecules",
journal = j-J-SYMBOLIC-COMP,
volume = "3",
number = "3",
pages = "277--281",
month = jun,
year = "1987",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "81G55 (65V05 81-08)",
MRnumber = "88h:81242",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A3120 (Specific calculations and results); A3310J
(Vibrational-rotational analysis); A3320 (Molecular
spectra grouped by wavelength ranges)",
corpsource = "Res. Sch. of Chem., Inst. of Adv. Studies, Australian
Nat. Univ., Canberra, ACT, Australia",
countrypub = "UK A05",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "analytic solution; chemistry, REDUCE; coefficients;
computational techniques; computer algebra; diatomic
molecules; Dunham theory; expectation values; frequency
data; Herman-Wallis; intensity data; matrix elements;
molecular energy level calculations; molecular
rotation-; molecules; spectra of diatomic inorganic;
term-value coefficients; vibration calculations;
vibration-rotational spectroscopy",
treatment = "T Theoretical or Mathematical",
}
@Book{Rayna:1987:RSA,
author = "Gerhard Rayna",
title = "{REDUCE}\emdash Software for Algebraic Computation",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 329",
year = "1987",
ISBN = "0-387-96598-X (New York), 3-540-96598-X (Berlin)",
ISBN-13 = "978-0-387-96598-7 (New York), 978-3-540-96598-5
(Berlin)",
LCCN = "QA155.7.E4 R39 1987",
bibdate = "Wed Dec 15 10:41:10 1993",
bibsource = "Ai/Constr.logic.prog.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Misc/beebe.bib; Theory/Comp.Alg.1.bib;
Theory/Comp.Alg.bib",
series = "Symbolic Computation --- Artificial Intelligence",
notes = "{\footnotesize Dieser Band enth{\"a}lt eine gute
Einf{\"u}hrung in die algebraische Version von REDUCE
vom gleichen Autor, der schon das Manual geschrieben
hat, das zusammen mit dem REDUCE System verteilt wird,
geht im Umfang aber erheblich dar{\"u}ber hinaus.
\hfill F.~Schwarz}",
}
@Article{Schrufer:1987:ECC,
author = "Eberhard Schr{\"u}fer and Friedrich W. Hehl and J.
Dermott McCrea",
title = "Exterior Calculus on the Computer: The
{REDUCE}-Package {EXCALC} Applied to General Relativity
and to the {Poincar{\'e}} Gauge Theory",
journal = j-GEN-RELATIVITY-GRAV,
volume = "19",
number = "2",
pages = "197--218",
month = feb,
year = "1987",
CODEN = "GRGVA8",
DOI = "http://dx.doi.org/10.1007/BF00770331",
ISSN = "0001-7701 (print), 1572-9532 (electronic)",
ISSN-L = "0001-7701",
MRclass = "58-04 (58A10 68Q40 83-04 83D05)",
MRnumber = "876603 (88b:58001)",
MRreviewer = "R. A. d'Inverno",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A0270 (Computational techniques); A0420 (General
relativity); A0460 (Quantum theory of gravitation);
A1110N (Gauge field theories); C7320 (Physics and
Chemistry)",
comment = "Application of {EXCALC/REDUCE}, including review of
other systems, and description of {EXCALC}.",
corpsource = "Inst. F1-P, GMD, St. Augustin, West Germany",
fjournal = "General Relativity and Gravitation",
journal-URL = "http://link.springer.com/journal/10714",
keywords = "computer algebra system; EXCALC package; gauge field
theory; general relativity; physics computing;
Poincar{\'e} gauge; quantum field theory of
gravitation; REDUCE calculations; Reduce
computer-algebra system; sensor-analytical; theory of
gravity",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Shablygin:1987:IEH,
author = "E. Shablygin",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "Integral Equation with Hidden Eigenparameter Solver:
{REDUCE} and {FORTRAN} in Tandem",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "186--191",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Spiridonova:1987:SEA,
author = "M. Spiridonova",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "Some extensions and Applications of {REDUCE} System",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "136--137",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Suzuki:1987:FTS,
author = "Hiromi Suzuki and Shinichi Iwamoto",
title = "Fast Transient Stability Solution Using Algebraic
Processing Language `{Reduce}'",
journal = "Electrical Engineering in Japan (English translation
of Denki Gakkai Ronbunshi)",
volume = "107",
number = "4",
pages = "51--59",
month = jul # "\slash " # aug,
year = "1987",
CODEN = "EENJAU",
ISSN = "0424-7760",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Waseda Univ, Jpn",
classification = "706; 723; 921",
journalabr = "Electr Eng Jpn",
keywords = "algebraic processing language; computer programming
languages --- Applications; electric power systems;
mathematical techniques --- Algebra; Reduce; Stability;
Taylor series expansion",
}
@InProceedings{Umeno:1987:SPC,
author = "Takaji Umeno and Kenichi Abe and Syuichi Yamashita and
Osami Saito",
booktitle = "????",
title = "Software Package for Control Design Based on the
Algebraic Theory Using Symbolic Manipulation Language
{Reduce}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1102--1106",
year = "1987",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "IEEE Service Cent. Piscataway, NJ, USA.",
acknowledgement = ack-nhfb,
affiliationaddress = "Toyohashi Univ of Technology, Aichi, Jpn",
classification = "723; 731",
conference = "Proceedings --- TENCON 87: 1987 IEEE Region 10
Conference, 'Computers and Communications Technology
Toward 2000'.",
keywords = "algebraic theory; Computer Aided Design; computer
programming languages --- lisp; computer software ---
Software Engineering; control design; control systems;
software package; symbolic manipulation language
Reduce",
meetingaddress = "Seoul, S Korea",
sponsor = "IEEE, Korea Section; IEEE, Region 10; Korea Inst of
Electronic Engineers, South Korea",
}
@Article{vandenHeuvel:1987:SSP,
author = "P. {van den Heuvel} and B. J. A. Hulshof and J. A.
{van Hulzen}",
title = "Some Simple {Pretty-Print} Facilities for {REDUCE}",
journal = j-SIGSAM,
volume = "21",
number = "1",
pages = "14--17",
month = feb,
year = "1987",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Sat Aug 13 17:21:21 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib;
Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
keywords = "documentation; Reduce, theory",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, REDUCE \\ D.3.3 Software,
PROGRAMMING LANGUAGES, Language Constructs, Procedures,
functions, and subroutines \\ D.2.3 Software, SOFTWARE
ENGINEERING, Coding, Pretty printers",
}
@TechReport{Vinitsky:1987:URS,
author = "S. I. Vinitsky and V. A. Rostovtsev",
title = "A Use of {REDUCE} System in Problems of Hydrogen Atom
in an Electric Field",
type = "Preprint",
number = "P11-87-303",
institution = "J.I.N.R.",
address = "Dubna, USSR",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Yamamoto:1987:RIP,
author = "T. Yamamoto and Y. Aoki",
booktitle = "Proc. {EUROCAL} '87, Lecture Notes in Computer
Science",
title = "{REDUCE} 3.2 on {iAPX 86/286}-based Personal
Computers",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "134--135",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Bamberger:1988:EVP,
author = "L. Bamberger",
title = "An error validation package for {REDUCE}",
crossref = "Anonymous:1988:EPT",
volume = "1",
pages = "467--474",
year = "1988",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
corpsource = "Siemens AG, Munich, West Germany",
keywords = "computer algebra system; error validation package;
Esprit project 1072; floating point package validfloat;
ill-conditioned situations; mathematics computing;
numerical problems; REDUCE; software packages;
symbolic; validated error bounds",
treatment = "P Practical",
}
@Article{Bogdanova:1988:RPE,
author = "N. Bogdanova and H. Hogreve",
title = "A {REDUCE} Package for Exact {Coulomb} Interaction
Matrix Elements",
journal = j-COMP-PHYS-COMM,
volume = "48",
number = "2",
pages = "319--326",
month = feb,
year = "1988",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@InProceedings{Chaffy-Camus:1988:ARA,
author = "C. Chaffy-Camus",
booktitle = "Proc. of {ISSAC} '88",
title = "An Application of {REDUCE} to the Approximation of $
f(x, y) $",
volume = "358",
publisher = pub-SV,
address = pub-SV:adr,
pages = "73--84",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Darbaidze:1988:SCR,
author = "Ya. Z. Darbaidze and Z. V. Merebashvili and V. A.
Rostovtsev",
title = "Some Computer Realizations of the {REDUCE-3}
Calculations for Exclusive Processes",
type = "Preprint",
number = "P2-88-769",
institution = "J.I.N.R.",
address = "Dubna, USSR",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Davenport:1988:CAA,
author = "J. H. Davenport",
title = "Computer Algebra Applied to Itself",
journal = j-J-SYMBOLIC-COMP,
volume = "6",
number = "1",
pages = "127--132",
month = aug,
year = "1988",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40 (12-04 12D10)",
MRnumber = "89m:68072",
MRreviewer = "D. Z. Spicer",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C4130 (Interpolation and function
approximation)",
corpsource = "Sch. of Math. Sci., Bath Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "complexity analysis; Complexity, Real root isolation,
REDUCE; computer algebra; mathematics computing;
polynomials; Reduce; roots of",
treatment = "P Practical",
}
@TechReport{dosSantos:1988:IAS,
author = "Renato P. {dos Santos}",
title = "Introdu{\c{c}}{\~a}o ao Sistema {REDUCE} de
{C}{\'a}lculo Alg{\'e}brico",
number = "CBPF-NT-001/88",
institution = "CBPF",
address = "Rio de Janeiro, Brazil",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "{(In Portuguese)} Lecture notes of a course on
{REDUCE}.",
}
@InProceedings{Elishakoff:1988:NRV,
author = "Isaac Elishakoff and Charles D. Hettema",
editor = "P. D. (Pol D.) Spanos",
booktitle = "Probabilistic Methods in Civil Engineering (May 25--27
1988: Blacksburg, VA, USA)",
title = "Nonstationary random vibration with {REDUCE}",
publisher = "ASCE",
address = "New York, NY, USA",
pages = "529--532",
year = "1988",
ISBN = "0-87262-659-8",
ISBN-13 = "978-0-87262-659-1",
LCCN = "TA340 .P7351 1988",
bibdate = "Mon May 11 18:13:05 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Technion Israel Inst of Technology",
affiliationaddress = "Haifa, Isr",
classification = "408; 723; 922; 931",
conference = "Probabilistic Methods in Civil Engineering,
Proceedings of the 5th ASCE Specialty Conference",
conferenceyear = "1988",
keywords = "Closed-Form Solutions; Computer Aided Analysis;
Computer Software; Nonstationarity; Random Vibration;
Software Package Reduce; Structural
Analysis--Computation; Vibrations",
meetingabr = "Probab Methods Civ Eng Proc 5th ASCE Spec Conf",
meetingaddress = "Blacksburg, VA, USA",
meetingdate = "May 25--27 1988",
meetingdate2 = "05/25--27/88",
sponsor = "ASCE, Engineering Mechanics Div, New York, NY, USA;
ASCE, Structural Div, New York, NY, USA; ASCE,
Geotechnical Engineering Div, New York, NY, USA;
Virginia Polytechnic Inst \& State Univ, Blacksburg,
VA, USA",
}
@TechReport{Ganzha:1988:ARC,
author = "Victor G. Ganzha and Richard Liska",
title = "Application of the {Reduce} Computer Algebra System to
Stability Analysis of Difference Schemes",
institution = "????",
address = "M{\"{u}}nchen, Germany",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Misc/TUBScsd.bib",
annote = "the Stability Regions of Difference Schemes
Approximating Systems of Linear Partial Differential
Equations Are Automatically Obtained By Using the
Computer Algebra System Reduce and Numerical Methods
For Polynomial Roots Location. the Stability Analysis
Is Performed By the Fourier Method and Polynomial Root
Location Is Based on the Routh Algorithm. Several
Practical Examples Show the Usefulness of the Programs
Described.",
descriptor = "Lineare Partielle Differentialgleichung, Reduce,
Computeralgebra",
}
@TechReport{Ganzha:1988:KUD,
author = "Victor G. Ganzha and Reinhard Foessmeier",
title = "{Konstruktion und Untersuchung von
Differenzenoperationen mit dem Reduce-system}",
institution = "????",
address = "M{\"{u}}nchen, Germany",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Misc/TUBScsd.bib",
annote = "Bericht Nr. Tum/8808",
descriptor = "Computeralgebra, Reduce, Symbol-manipulation",
}
@Article{Gebauer:1988:IBA,
author = "R{\"u}diger Gebauer and H. Michael M{\"o}ller",
title = "On an Installation of {Buchberger}'s Algorithm",
journal = j-J-SYMBOLIC-COMP,
volume = "6",
number = "2--3",
pages = "275--286",
month = oct # "\slash " # dec,
year = "1988",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "13P10 (68Q40)",
MRnumber = "91a:13014",
MRreviewer = "Ferdinando Mora",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
note = "Computational aspects of commutative algebra.",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C6130 (Data handling techniques);
C4130 (Interpolation and function approximation)",
corpsource = "Springer-Verlag, New York, NY, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "polynomials; symbol manipulation; Buchberger algorithm
installation; Gr{\"o}bner bases; polynomial ideals;
superfluous reductions; redundant; elements; module of
syzygies; SCRATCHPAD II; REDUCE 3.3; computational
properties",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Grozin:1988:SPPa,
author = "A. G. Grozin",
title = "Solving Physical Problems with {REDUCE. 1. REDUCE}
Language {2. Classical} Nonlinear Oscillator",
type = "Preprint",
number = "88-115",
institution = "Institute of Nuclear Physics",
address = "630090, Novosibirsk, USSR",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "This preprint is the first part of the problem book on
using {REDUCE} in physics. It contains many examples
useful for the construction of programs for solving
physical problems of very different nature. This part
contains examples illustrating {REDUCE} language (sect.
1) and the problem of classical nonlinear oscillator
(sect. 2). To be published (with additions) as a book
with ``Nauka'' publishers, Moscow.",
}
@TechReport{Grozin:1988:SPPb,
author = "A. G. Grozin",
title = "Solving Physical Problems with {REDUCE. 3. Nonlinear}
Water Waves {4. Calculation} of the Curvature Tensor
{5. Angular} Momentum Addition",
type = "Preprint",
number = "88-136",
institution = "Institute of Nuclear Physics",
address = "630090, Novosibirsk, USSR",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "This preprint is the second part of the problem book
on using {REDUCE} in physics. It contains many examples
useful for the construction of programs for solving
physical problems of very different nature. This part
contains the problem of nonlinear water waves (sect.
3), the calculation of the curvature tensor (sect. 4)
and angular momentum addition (sect. 5).",
}
@TechReport{Grozin:1988:SPPc,
author = "A. G. Grozin",
title = "Solving Physical Problems with {REDUCE. 6. Quantum}
Nonlinear Oscillator {7. Rotator} in a Weak Field {8.
Radiative} Transitions in Charmonium",
type = "Preprint",
number = "88-140",
institution = "Institute of Nuclear Physics",
address = "630090, Novosibirsk, USSR",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "This preprint is the last part of the problem book on
using {REDUCE} in physics. It contains many examples
useful for the construction of programs for solving
physical problems of very different nature. This part
contains the problem of quantum nonlinear oscillator
(sect. 6), rotator in a weak field (sect. 7) and
radiative transitions in charmonium (sect. 8).",
}
@Article{Ito:1988:RPH,
author = "Masaaki Ito",
title = "A {REDUCE} Program for {Hirota's} Bilinear Operator
and {Wronskian} Operations",
journal = j-COMP-PHYS-COMM,
volume = "50",
number = "3",
pages = "321--330",
month = aug,
year = "1988",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@TechReport{Kryukov:1988:NPT,
author = "A. P. Kryukov and A. Ya. Rodinov and V. A.
Rostovtsev",
title = "New Programming Tools for Computing Substitution Rules
in {REDUCE} System",
number = "P11-88-402",
institution = "J.I.N.R.",
address = "Dubna, USSR",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
annote = "New programming tools allowing to compile patterns in
REDUCE system are described. A guide for using these
tools and examples of their working are presented.",
comment = "New programming tools allowing to compile patterns in
{REDUCE} system are described. A guide for using these
tools and examples of their working are presented.",
keywords = "Reduce",
}
@InProceedings{MacCallum:1988:ODE,
author = "M. A. H. MacCallum",
booktitle = "Proc. of {ISSAC} '88",
title = "An Ordinary Differential Equation Solver for
{REDUCE}",
volume = "358",
publisher = pub-SV,
address = pub-SV:adr,
pages = "196--205",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Marti:1988:GIR,
author = "J. Marti",
booktitle = "Proc. {AAECC-6} 1988, Lecture Notes in Computer
Science",
title = "A Graphics Interface to {REDUCE}",
volume = "357",
publisher = pub-SV,
address = pub-SV:adr,
pages = "274--296",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Melenk:1988:GBC,
author = "Herbert Melenk and H. M. M{\"o}ller and Winfried
Neun",
title = "On Gr{\"o}bner Bases Computation on a Supercomputer
Using {REDUCE}",
type = "Technical Report",
number = "Preprint SC 88-2",
institution = "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik Berlin
ZIB",
address = "Berlin, Germany",
month = jan,
year = "1988",
bibsource = "Ai/Ai.misc.bib; Ai/lisp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
keywords = "LISP",
}
@TechReport{Moritsugu:1988:PIF,
author = "S. Moritsugu and E. Goto",
title = "A Proposal for Improvement of Facilities of {REDUCE}",
institution = "Department of Information Science, University of
Tokyo",
address = "Tokyo, Japan",
month = dec,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@Article{Ollongren:1988:PRF,
author = "Alexander Ollongren",
title = "On a particular restricted five-body problem: an
analysis with computer algebra",
journal = j-J-SYMBOLIC-COMP,
volume = "6",
number = "1",
pages = "117--127 (or 117--126??)",
month = aug,
year = "1988",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "70F10 (70-04)",
MRnumber = "89j:70015",
MRreviewer = "Fu Tong",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
corpsource = "Dept. of Math. and Comput. Sci., Leiden Univ.,
Netherlands",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "celestial mechanics; computer algebra; Lagrangian
points of equilibrium; linear stability analysis;
mathematics computing; MuMATH; particular restricted
five-body problem; REDUCE",
treatment = "P Practical",
xxtitle = "On a Restricted Five-Body Problem: An Analysis with
Computer Algebra",
}
@Article{Ronveaux:1988:PSR,
author = "A. Ronveaux and G. Thiry",
title = "Polynomial solution of recurrence relation and
differential equation",
journal = j-SIGSAM,
volume = "22",
number = "4",
pages = "9--19",
month = oct,
year = "1988",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:00 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Fac. Univ. N-D de la Paix, Namur, Belgium",
fjournal = "SIGSAM Bulletin",
issue = "86",
keywords = "algorithms; compatibility criterion; differential
equation; differential equations; homogeneous
differential equation; implementation; orthogonal
polynomials; polynomials; recurrence relation; REDUCE;
second order linear; symbolic matrix triangularization;
theory",
subject = "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, REDUCE \\ F.2.1 Theory of
Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
COMPLEXITY, Numerical Algorithms and Problems,
Computations on polynomials",
treatment = "P Practical",
}
@Article{Sage:1988:ATQ,
author = "Martin L. Sage",
title = "An algebraic treatment of quantum vibrations using
{REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "5",
number = "3",
pages = "377--384",
month = jun,
year = "1988",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "81-04",
MRnumber = "946 589",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
note = "See erratum \cite{Sage:1989:EAT}.",
acknowledgement = ack-nhfb,
classcodes = "C6130 (Data handling techniques); C7320 (Physics and
Chemistry)",
corpsource = "Dept. of Chem., Syracuse Univ., NY, USA",
countrypub = "UK A08",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebraic; algebraic treatment; chemistry; eigenvalue;
manipulations; mathematical physics; non-commuting,
physics, chemistry; physics computing; problems;
quantum vibrations; REDUCE; Reduce; symbol
manipulation; two dimensional nearly harmonic
oscillator",
treatment = "P Practical; T Theoretical or Mathematical",
xxtitle = "An Algebraic Treatment of Quantum Vibration Using
{REDUCE}",
}
@InProceedings{Saito:1988:DUA,
author = "O. Saito and K. Abe and M. Kanno and S. Sobue and T.
Umeno",
booktitle = "Preprints of the 4th IFAC Symposium on Computer Aided
Design in Control Systems --- CADCS '88",
title = "Development of User Adaptive {CAD} System for Control
Engineering Using {REDUCE}",
publisher = "????",
address = "Beijing, P. R. China",
pages = "333--338",
day = "23--25",
month = aug,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Misc/cacsd.bib",
}
@Article{Saito:1988:SMC,
author = "Osami Saito and Mikihito Kanno and Kenichi Abe",
title = "Symbolic Manipulation {CAD} of Control Engineering by
Using {Reduce}",
journal = j-INT-J-CONTROL,
volume = "48",
number = "2",
pages = "781--790",
month = aug,
year = "1988",
CODEN = "IJCOAZ",
ISSN = "0020-7179",
ISSN-L = "0020-7179",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliationaddress = "Toyohashi Univ of Technology, Toyohashi, Jpn",
classification = "723; 731; 921",
fjournal = "International Journal of Control",
journalabr = "Int J Control",
keywords = "Computer Aided Design; computer programming languages;
control engineering; control systems; numerical
computation languages; symbolic computation; symbolic
manipulation",
}
@Article{Savage:1988:SCF,
author = "S. B. Savage",
title = "Symbolic computation of the flow of granular
avalanches",
journal = "American Society of Mechanical Engineers, Heat
Transfer Division, (Publication) HTD",
volume = "105",
pages = "57--63",
year = "1988",
CODEN = "ASMHD8",
ISSN = "0272-5673",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "ETH",
affiliationaddress = "Zurich, Switz",
classification = "482; 722; 723; 921; 931",
conference = "Symbolic Computation in Fluid Mechanics and Heat
Transfer",
conferenceyear = "1988",
journalabr = "ASME Heat Transfer Div Publ HTD",
keywords = "Computer Algebra Package; Computer Operating
Systems--Program Translators; Computer Programming
languages--lisp; Computers, Digital--Computational
Methods; Equations of Motion--Computation; Eulerian
Finite Difference Scheme; Flow of Solids; Granular
Materials; Loose Snow Avalanches; Mathematical
Techniques--Perturbation Techniques; Rockfalls Motion;
Shanks Transformations; Symbolic Manipulation Package
Reduce",
meetingaddress = "Chicago, IL, USA",
meetingdate = "Nov 27--Dec 2 1988",
meetingdate2 = "11/27--12/02/88",
sponsor = "ASME, Applied Mechanics Div, New York, NY, USA",
}
@Article{Schrufer:1988:CNE,
author = "Eberhard Schr{\"u}fer",
title = "A comment on {``A note on Einstein metrics''}",
journal = j-SIGSAM,
volume = "22",
number = "3",
pages = "22--26",
month = jul,
year = "1988",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:26:59 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "GMD, Inst. F1-P, St. Augustin, West Germany",
fjournal = "SIGSAM Bulletin",
issue = "85",
keywords = "Cartan; coding; efficiency gains; Einstein Metrics;
EXCALC; exterior forms; field equations; matrix
algebra; measurement; performance; REDUCE testfile;
theory",
subject = "F.2.2 Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Geometrical problems and computations \\
I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
Languages and Systems, REDUCE",
treatment = "T Theoretical or Mathematical",
}
@Article{Schwarz:1988:RPD,
author = "F. Schwarz",
title = "A {REDUCE} package for determining first integrals of
autonomous systems of ordinary differential equations",
journal = j-COMP-PHYS-COMM,
volume = "39",
pages = "285--296",
year = "1988",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "autonomous systems ODEs",
}
@Book{Stauffer:1988:CSC,
author = "Dietrich Stauffer and F. W. Hehl and V. Winkelmann and
J. G. Zabolitzky",
title = "Computer simulation and computer algebra: lectures for
beginners",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 155",
year = "1988",
ISBN = "0-387-18909-2",
ISBN-13 = "978-0-387-18909-3",
LCCN = "QA76.9.C65 C656 1988",
bibdate = "Fri Nov 01 07:18:40 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@TechReport{vanHeerwaarden:1988:PPF,
author = "M. C. {van Heerwaarden} and J. A. {van Hulzen}",
title = "Pretty Print Facilities for {REDUCE}",
type = "Memorandum",
number = "INF-88-36",
institution = "Twente University of Technology, Department of
Computer Science",
address = "Enschede, The Netherlands",
month = aug,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@TechReport{vanHulzen:1988:FMM,
author = "J. A. {van Hulzen}",
title = "Formule Manipulatie m.b.v. {REDUCE} (in {Dutch})",
institution = "Twente University of Technology, Department of
Computer Science",
address = "Enschede, The Netherlands",
month = oct,
year = "1988",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
keywords = "Reduce",
}
@InProceedings{Abdali:1989:EQR,
author = "S. K. Abdali and D. S. Wiset",
title = "Experiments with quadtree representation of matrices",
crossref = "Gianni:1989:SAC",
pages = "96--108",
year = "1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The quadtrees matrix representation has been recently
proposed as an alternative to the conventional linear
storage of matrices. If all elements of a matrix are
zero, then the matrix is represented by an empty tree;
otherwise it is represented by a tree consisting of
four subtrees, each representing, recursively, a
quadrant of the matrix. Using four-way block
decomposition, algorithms on quadtrees accelerate on
blocks entirely of zeros, and thereby offer improved
performance on sparse matrices. The paper reports the
results of experiments done with a quadtree matrix
package implemented in REDUCE to compare the
performance of quadtree representation with REDUCE's
built-in sequential representation of matrices. Tests
on addition, multiplication, and inversion of dense,
triangular, tridiagonal, and diagonal matrices (both
symbolic and numeric) of sizes up to 100*100 show that
the quadtree algorithms perform well in a broad range
of circumstances, sometimes running orders of magnitude
faster than their sequential counterparts.",
acknowledgement = ack-nhfb,
affiliation = "Tektronix Labs., Beaverton, OR, USA",
classification = "C1110 (Algebra); C1160 (Combinatorial mathematics);
C4140 (Linear algebra); C6120 (File organisation);
C7310 (Mathematics)",
keywords = "Addition; Dense matrices; Diagonal matrices; Empty
tree; Four-way block decomposition; Inversion;
Multiplication; Performance comparison; Quadrant;
Quadtree algorithms; Quadtree matrix package; Quadtrees
matrix representation; REDUCE; Sparse matrices;
Subtrees; Triangular matrices; Tridiagonal matrices;
Zero elements",
thesaurus = "Data structures; Mathematics computing; Matrix
algebra; Trees [mathematics]",
}
@Article{Antweiler:1989:TRI,
author = "Werner Antweiler and Andreas Strotmann and Volker
Winkelmann",
title = "A {\TeX}-{REDUCE} Interface",
journal = j-SIGSAM,
volume = "23",
number = "2",
pages = "26--33",
month = apr,
year = "1989",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Tue Feb 13 07:15:13 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib; Theory/sigsam.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
keywords = "algorithms; design; performance; verification",
subject = "I.3.1 Computing Methodologies, COMPUTER GRAPHICS,
Hardware architecture, Raster display devices \\ I.7.1
Computing Methodologies, TEXT PROCESSING, Text Editing,
\TeX{}",
xxnote = "Check issue/month??",
}
@Article{Antweiler:1989:TSE,
author = "W. Antweiler and A. Strotmann and V. Winkelmann",
title = "A {{\TeX-REDUCE}} interface",
journal = j-SIGSAM,
volume = "23",
number = "2",
pages = "26--33",
month = apr,
year = "1989",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C6130 (Data handling techniques);
C7230 (Publishing and reproduction); C6140D (High level
languages); C6110 (Systems analysis and programming)",
corpsource = "Cologne Univ., Comput. Center, West Germany",
fjournal = "SIGSAM Bulletin",
keywords = "algebra; algebraic; algorithms; capabilities; computer
controlled typesetting; E/X-REDUCE-interface; high
level; high quality output; indentation; languages;
line breaking; manipulation; mathematics computing;
programming; readability; REDUCE formulas; REDUCE-Lisp;
symbol; T/sub; T/sub E/X; T/sub E/X output; typesetting
language; well known computer algebra system",
treatment = "P Practical",
}
@Article{Aoki:1989:LDA,
author = "Genya Aoki",
title = "Large deflection analysis by perturbation method using
symbolic manipulation system {REDUCE}",
journal = "Senpaku Gijutsu Kenkyusho Hokoku/Papers of Ship
Research Institute",
volume = "26",
number = "2",
pages = "21--27",
month = mar,
year = "1989",
CODEN = "SPGKAP",
ISSN = "0495-775X",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classification = "408; 921; 931",
journalabr = "Senpaku Gijutsu Kenkyusho Hokoku",
keywords = "Computer Programming --- Algorithms; Deflection;
Finite Element Method; Mathematical Techniques ---
Perturbation Techniques; Plates; Structural Analysis;
Structural Mechanics; Symbolic Manipulation System
'Reduce'",
}
@Article{Autin:1989:SEI,
author = "B. Autin and J. Bengtsson",
title = "Symbolic Evaluation of Integrals Occurring in
Accelerator Orbit Theory",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "2",
pages = "183--188 (or 183--187??)",
month = feb,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A2915 (Electrostatic and linear particle
accelerators); B7410 (Accelerators); C7320 (Physics and
Chemistry); C6130 (Data handling techniques)",
corpsource = "CERN, Geneva, Switzerland",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "accelerator orbit theory; automatic FORTRAN coding;
chromatic aberrations; computation; direct numerical
integration; generated functions; integrals;
manipulation; particle accelerators; Particle physics,
numerics; perturbation theory; physics computing;
symbol; symbolic; transverse oscillations",
treatment = "A Application; P Practical",
}
@Article{Brackx:1989:HMD,
author = "F. Brackx and D. Constales and A. Ronveaux and H.
Serras",
title = "On the Harmonic and Monogenic Decomposition of
Polynomials",
journal = j-J-SYMBOLIC-COMP,
volume = "8",
number = "3",
pages = "297--304",
month = sep,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "30-04 (30G35)",
MRnumber = "90i:30001",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C1120 (Analysis)",
corpsource = "Seminarie voor Wiskundige Anal., Gent, Belgium",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Clifford analysis; decomposition; decomposition of
polynomials; Dirac; Euclidean space; harmonic; Laplace
operator; Minkowski spaces; monogenic; operator;
polynomials; procedures; REDUCE; REDUCE Polynomials
Inverting Operator; spherical harmonics",
treatment = "T Theoretical or Mathematical",
}
@Article{Caprasse:1989:TCM,
author = "H. Caprasse",
title = "Les Th{\'e}ories des {Champs} dans le monde de
{REDUCE} (in {French})",
journal = "CALSYF",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Chaffy-Camus:1989:ARA,
author = "C. Chaffy-Camus",
title = "An application of {REDUCE} to the approximation of $
f(x, y) $",
crossref = "Gianni:1989:SAC",
pages = "73--84",
year = "1989",
DOI = "http://dx.doi.org/10.1007/3-540-51084-2_7",
MRclass = "41A21 (41A63)",
MRnumber = "1034722 (90m:41027)",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Pad{\'e} approximants are an important tool in
numerical analysis, to evaluate $ f(x) $ from its power
series even outside the disk of convergence, or to
locate its singularities. The paper generalizes this
process to the multivariate case and presents two
applications of this method: the approximation of
implicit curves and the approximation of double power
series. Computations are carried out on a computer
algebra system REDUCE.",
acknowledgement = ack-nhfb,
affiliation = "TIM3-INPG, Grenoble, France",
classcodes = "C4130 (Interpolation and function approximation);
C7310 (Mathematics)",
classification = "C4130 (Interpolation and function approximation);
C7310 (Mathematics)",
corpsource = "TIM3-INPG, Grenoble, France",
keywords = "Approximation; approximation; approximation theory;
Computer algebra system; computer algebra system;
Convergence; convergence; convergence of numerical
methods; curves; Double power series; double power
series; implicit; Implicit curves; mathematics
computing; Multivariate case; multivariate case;
Numerical analysis; numerical analysis; Pad{\'e}
approximants; Reduce; reduce; Reduce computer-algebra
system; Singularities; singularities; software
packages",
thesaurus = "Approximation theory; Convergence of numerical
methods; Mathematics computing; Software packages",
treatment = "T Theoretical or Mathematical",
}
@TechReport{DeVos:1989:URS,
author = "Alexis {De Vos}",
title = "The use of {Reduce} in solar energy conversion
theory",
type = "Reports of the {CAGe} Project",
number = "4",
institution = "State University of Gent, {CAGe} Computer Algebra
Group",
address = "Gent, Belgium",
month = aug,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Dewar:1989:IIS,
author = "M. C. Dewar",
title = "{IRENA}: an integrated symbolic and numerical
computation environment",
crossref = "Gonnet:1989:PAI",
pages = "171--179",
year = "1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Computer algebra systems provide an extremely
user-friendly and natural problem-solving environment,
but are comparatively slow and limited in the scope of
problems they can treat. Programs which call routines
from numerical software libraries are fast, but require
longer development and testing time, as well as forcing
potential users to describe their problems in what is,
to them, an unnatural form. Both approaches have
advantages and disadvantages, but until now it has been
rather difficult to mix the two. The author describes
IRENA, an interface between the computer algebra system
REDUCE and the NAG numerical subroutine library, which
provides the NAG user with the advantages of a computer
algebra system and the REDUCE user with the facilities
of an extensive library of numerical software. He
discusses how the two methods could be used
side-by-side to solve problems in definite
integration.",
acknowledgement = ack-nhfb,
affiliation = "Sch. of Math. Sci., Bath Univ., UK",
classification = "C4160 (Numerical integration and differentiation);
C6130 (Data handling techniques); C7310 (Mathematics)",
keywords = "Computer algebra system; Definite integration; IRENA;
NAG; Numerical software; Numerical subroutine library;
REDUCE",
thesaurus = "Integration; Mathematics computing; Symbol
manipulation; User interfaces",
}
@Article{dosSantos:1989:URS,
author = "Renato P. {dos Santos}",
title = "Using {REDUCE} in Supersymmetry",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "5",
pages = "523--525",
month = may,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A1130P (Supersymmetry); A0270 (Computational
techniques); C7320 (Physics and Chemistry); C7310
(Mathematics); C1110 (Algebra)",
corpsource = "Centro Brasileiro de Pesquisas Fisicas Rio de Janeiro,
Brazil",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebraic manipulator; physics computing; REDUCE;
supersymmetry; supersymmetry calculus; symbol
manipulation",
treatment = "A Application; T Theoretical or Mathematical",
xxauthor = "Renato P. {Dos Santos}",
}
@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 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "86-08 (85-08 85A15 85A20 86A25)",
MRnumber = "90j:86001",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
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",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
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",
}
@InProceedings{Dulyan:1989:CQT,
author = "L. S. Dulyan",
title = "The calculation of {QCD} triangular {Feynman} graphs
in the external gluonic field using {REDUCE-2} system",
crossref = "Davenport:1989:EEC",
pages = "172--173",
year = "1989",
bibdate = "Sun Oct 25 11:42:50 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A1235E (Applications of quantum chromodynamics to
particle properties and reactions); A0230 (Function
theory, analysis); A0210 (Algebra, set theory, and
graph theory); A1110 (Field theory); A1480D (Quarks and
gluons); A0270 (Computational techniques); C7320
(Physics and Chemistry); C7310 (Mathematics)",
corpsource = "Yerevan Phys. Inst., Armenian SSR, USSR",
keywords = "4-dimensional integrals; algebra; colour model;
derivatives calculation; differentiation;
differentiation operator; external gluonic field;
factorials; Feynman diagrams; gluons; physics
computing; polynomials; QCD triangular Feynman graphs;
REDUCE-2 system; substitutions; symbol manipulation;
symbolic; variable",
sponsororg = "Robotron; Rank Xerox",
treatment = "A Application; T Theoretical or Mathematical",
}
@Book{Edneral:1989:LAC,
author = "Viktor F. Edneral and Aleksandr P. Kryukov and
Anatolii Ia. Rodinov",
title = "The language of the analytic computer program
{REDUCE}",
publisher = "Moscow, {Izd-vo}, Moskovskogo {un-ta}",
address = "Moscow, USSR",
pages = "????",
year = "1989",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "This monograph --- first in The Soviet Union with a
systematic treatment of the analytical computer
(program) {REDUCE}.",
}
@InProceedings{Eldeib:1989:ASM,
author = "H. K. Eldeib and S. Tsai",
editor = "IEEE",
booktitle = "IEEE International Symposium on Intelligent Control,
1988. Proceedings, 24--26 August 1988, Arlington,
Virginia",
title = "Applications of symbolic manipulation in control
system analysis and design",
publisher = pub-IEEE,
address = pub-IEEE:adr,
bookpages = "x + 768",
pages = "269--274",
year = "1989",
ISBN = "0-8186-2012-9",
ISBN-13 = "978-0-8186-2012-6",
LCCN = "TJ212.2 .I2 1988",
bibdate = "Thu Jul 26 06:10:56 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
IEEE Xplore database",
acknowledgement = ack-nhfb,
keywords = "MACSYMA; Reduce",
}
@InProceedings{Fitch:1989:CRB,
author = "J. Fitch",
title = "Can {REDUCE} be run in parallel?",
crossref = "Gonnet:1989:PAI",
pages = "155--162",
year = "1989",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "In order to make a substantial improvement in the
performance of algebra systems it will eventually be
necessary to use a parallel execution system. This
paper considers one approach to detecting parallelism,
an automatic method related to compilation, and applies
it to REDUCE, and to the factoriser in particular.",
acknowledgement = ack-nhfb,
classcodes = "C6150C (Compilers, interpreters and other processors);
C6130 (Data handling techniques); C7310 (Mathematics)",
classification = "C6130 (Data handling techniques); C6150C (Compilers,
interpreters and other processors); C7310
(Mathematics)",
keywords = "algebra systems; Algebra systems; automatic method;
Automatic method; compilation; Compilation; compilers;
factoriser; Factoriser; mathematics computing; parallel
execution system; Parallel execution system; parallel
programming; parallelism; Parallelism; program; REDUCE;
symbol manipulation",
sponsororg = "ACM",
thesaurus = "Mathematics computing; Parallel programming; Program
compilers; Symbol manipulation",
treatment = "P Practical",
}
@InProceedings{Freire:1989:ASC,
author = "E. Freire and E. Gamero and E. Ponce and L. G.
Franquelo",
title = "An algorithm for symbolic computation of center
manifolds",
crossref = "Gianni:1989:SAC",
pages = "218--230",
year = "1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "A useful technique for the study of local bifurcations
is part of the center manifold theory because a
dimensional reduction is achieved. The computation of
Taylor series approximations of center manifolds gives
rise to several difficulties regarding the operational
complexity and the computational effort. Previous works
proceed in such a way that the computational effort is
not optimized. In the paper an algorithm for center
manifolds well suited to symbolic computation is
presented. The algorithm is organized according to an
iterative scheme making good use of the previous steps,
thereby minimizing the number of operations. The
results of two examples obtained through a REDUCE 3.2
implementation of the algorithm are included.",
acknowledgement = ack-nhfb,
affiliation = "Escuela Superior Ingenieros Ind., Sevilla, Spain",
classification = "C1120 (Analysis); C4130 (Interpolation and function
approximation); C4170 (Differential equations); C7310
(Mathematics)",
keywords = "Algorithm; Center manifold theory; Computational
effort; Dimensional reduction; Iterative scheme; Local
bifurcations; Operational complexity; REDUCE 3.2;
Symbolic computation; Taylor series approximations",
thesaurus = "Approximation theory; Differential equations;
Mathematics computing; Symbol manipulation",
}
@Article{Fushchich:1989:CAA,
author = "W. I. Fushchich and V. V. Kornyak",
title = "Computer algebra application for determining {Lie} and
{Lie--B{\"a}cklund} symmetries of differential
equations",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "6",
pages = "611--619",
month = jun,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "58G35 (35-04 35A30 35Q20 58-04)",
MRnumber = "90d:58166",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Appl. Res., Inst. of Math., Acad. of Sci.,
Ukrainian SSR, Kiev, USSR",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra; AMP; computer algebra; differential
equations; FORMAC; LB symmetries; Lie; Lie-Backlund;
ODE REDUCE FORMAC AMP; REDUCE; REDUCE, FORMAC;
symmetries",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Ganzha:1989:ARC,
author = "Victor G. Ganzha and Richard Liska",
editor = "E. Kaltofen and S. M. Watt",
booktitle = "Proc. Computers and Mathematics '89",
title = "Application of the {REDUCE} Computer Algebra System to
Stability Analysis of Difference Schemes",
publisher = pub-SV,
address = pub-SV:adr,
pages = "119--129",
year = "1989",
MRclass = "65-04 (65H05 65P05)",
MRnumber = "1005967 (90e:65001)",
bibdate = "Sat Sep 13 17:42:56 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
keywords = "Reduce computer-algebra system",
}
@TechReport{Gawthrop:1989:BGA,
author = "Peter Gawthrop",
title = "Bond Graph Analysis Using {Prolog} And {Reduce}",
type = "Control Group Report",
number = "(89/7)",
institution = "Engineering Design Research Centre",
address = "????",
month = sep,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Techreports/engineering-design-research-centre.bib",
}
@Article{Harper:1989:VAR,
author = "David Harper",
title = "{Vector33: A REDUCE} Program for Vector Algebra and
Calculus in Orthogonal Curvilinear Coordinates",
journal = j-COMP-PHYS-COMM,
volume = "54",
number = "2 and 3",
pages = "295--305",
month = jun # "\slash " # jul,
year = "1989",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Harper:1989:VRP,
author = "D. Harper",
title = "{VECTOR} 33: a {REDUCE} program for vector algebra and
calculus in orthogonal curvilinear coordinates",
journal = j-COMP-PHYS-COMM,
volume = "54",
number = "2-3",
pages = "295--305",
month = jun # "-" # jul,
year = "1989",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
corpsource = "Comput. Lab., Liverpool Univ., UK",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "algebra; calculus; curl; curvilinear coordinates;
divergence; gradient; Laplacian; LISP; mathematics
computing; operators; orthogonal; REDUCE 3.3; RLISP;
VECTOR 33; vector algebra; vector differential",
treatment = "T Theoretical or Mathematical",
}
@Book{Hirota:1989:IRD,
author = "Ryogo Hirota and Masaaki Ito",
title = "Introduction to {REDUCE} --- Doing Symbolic
Computation on {PC}",
publisher = "Science sha",
address = "Tokyo, Japan",
pages = "????",
month = jun,
year = "1989",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "(In Japanese).",
}
@Article{Ilyin:1989:FAC,
author = "V. A. Ilyin and A. P. Kryukov and A. Ya. Rodioniov and
A. Yu. Taranov",
title = "Fast algorithm for calculation of {Dirac}'s
gamma-matrices traces",
journal = j-SIGSAM,
volume = "23",
number = "4",
pages = "15--24",
month = oct,
year = "1989",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:00 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory)",
corpsource = "Inst. for Nucl. Phys., Moscow State Univ., USSR",
fjournal = "SIGSAM Bulletin",
issue = "90",
keywords = "algorithm theory; algorithms; calculations; dimension;
Feynman diagrams; gamma-matrices; Kennedy-Cvitanovich
algorithm; matrix algebra; performance; REDUCE;
space-time; traces",
subject = "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
AND PROBLEM COMPLEXITY, Numerical Algorithms and
Problems, Computations on matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Ilyin:1989:HSD,
author = "V. A. Ilyin and A. P. Kryukov and A. Ya. Rodioniov and
A. Yu. Taranov",
title = "High speed {Dirac} algebra calculations in a space of
arbitrary dimension by means of a computer algebra
system",
journal = j-COMP-PHYS-COMM,
volume = "57",
number = "1-3",
pages = "505--506",
month = dec,
year = "1989",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Moscow State Univ",
affiliationaddress = "Moscow, USSR",
classification = "723; 932",
conference = "Proceedings of the International Conference on
Computing in High Energy Physics",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Algorithms; Computer Programming; Data Processing;
Dirac Algebra; Kennedy-Cvitanovic (KC) Algorithm;
Physics --- High Energy; Reduce Computer Algebra
System",
meetingaddress = "Oxford, Engl",
meetingdate = "Apr 10--14 1989",
meetingdate2 = "04/10--14/89",
sponsor = "Oxford Univ, Oxford, Engl; Rutherford Appleton Lab,
Engl",
}
@Article{Kaneko:1989:PFS,
author = "Toshiaki Kaneko and Setsuya Kawabata",
title = "A Preprocessor for {Fortran} Source Code Produced by
{REDUCE}",
journal = j-COMP-PHYS-COMM,
volume = "55",
number = "2",
publisher = "North Holland Publishing Company",
pages = "141--147",
month = sep,
year = "1989",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "Meiji-Gakuin Univ",
affiliationaddress = "Yokohama, Jpn",
classification = "722; 723; 921; 932",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Computational Physics; Computer Programming
languages--fortran; Computer Systems, Digital;
Mathematical Techniques--Integration; Multi-Dimensional
Numerical Integration; Parallel Processing;
Physics--High Energy; Software Package Reduce; Vector
Processing",
}
@InProceedings{Kazasov:1989:LTR,
author = "C. Kazasov",
title = "{Laplace} transformations in {REDUCE} 3",
crossref = "Davenport:1989:EEC",
publisher = pub-SV,
address = pub-SV:adr,
pages = "132--133",
year = "1989",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C1130 (Integral transforms)",
corpsource = "Lab. for Inf., Sofia Univ., Bulgaria",
keywords = "algebra; checking; expression correctness; Laplace;
Laplace transforms; Laplace-transform pairs;
mathematics computing; optimal; packages; REDUCE 3;
software; symbol manipulation; table reduction;
transformations",
sponsororg = "Robotron; Rank Xerox",
treatment = "A Application; P Practical",
}
@InProceedings{Liska:1989:EPF,
author = "R. Liska and L. Drska",
title = "Evaluation of plasma fluid equations collision
integrals using {REDUCE}",
crossref = "Davenport:1989:EEC",
publisher = pub-SV,
address = pub-SV:adr,
pages = "178--178",
year = "1989",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A5220 (Elementary processes in plasma); A0230
(Function theory, analysis); C7320 (Physics and
Chemistry)",
corpsource = "Fac. of Nucl. Sci. and Phys. Eng., Tech. Univ. of
Prague, Czechoslovakia",
keywords = "13-moment approximation; algebra; collision; collision
processes; computer algebra; Fokker--Planck equation;
integrals; physics computing; plasma; plasma fluid
equations; program speedup; REDUCE; symbol
manipulation; symbolic mode",
sponsororg = "Robotron; Rank Xerox",
treatment = "A Application; T Theoretical or Mathematical",
}
@InProceedings{MacCallum:1989:ODE,
author = "M. A. H. MacCallum",
title = "An ordinary differential equation solver for
{REDUCE}",
crossref = "Gianni:1989:SAC",
pages = "196--205",
year = "1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib",
abstract = "Progress and plans for the implementation of an
ordinary differential equation solver in REDUCE 3.3 are
reported; the aim is to incorporate the best available
methods for obtaining closed-form solutions, and to aim
at the `best possible' alternative when this fails. It
is hoped that this will become a part of the standard
REDUCE program library. Elementary capabilities have
already been implemented, i.e. methods for first order
differential equations of simple types and linear
equations of any order with constant coefficients. The
further methods to be used include: for first-order
equations, an adaptation of Shtokhamer's MACSYMA
program; for higher-order linear equations,
factorisation of the operator where possible; and for
nonlinear equations, the exploitation of Lie
symmetries.",
acknowledgement = ack-nhfb,
affiliation = "Sch. of Math. Sci., Queen Mary Coll., London, UK",
classification = "C1120 (Analysis); C4170 (Differential equations);
C7310 (Mathematics)",
keywords = "Closed-form solutions; Factorisation; First-order
equations; Lie symmetries; MACSYMA program; Nonlinear
equations; Ordinary differential equation solver;
REDUCE 3.3; REDUCE program library",
thesaurus = "Differential equations; Mathematics computing;
Software packages; Subroutines",
}
@InProceedings{Marti:1989:GIR,
author = "J. Marti",
title = "A graphics interface to {REDUCE}",
crossref = "Mora:1989:AAA",
pages = "274--296",
year = "1989",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C6130B (Graphics techniques); C5540 (Terminals and
graphic displays); C6180 (User interfaces)",
conflocation = "Rome, Italy; 4--8 July 1988",
keywords = "computer algebra; computer graphics; contour;
demonstration programs; display formats; equations;
graphics interface; hidden; laser printers; plots;
portable graphics subsystem; REDUCE; surface rendering
color displays; surfaces; symbol manipulation;
symbolic; three dimensional solids; two dimensional
graphs; user interfaces; wire frame images",
treatment = "P Practical",
}
@Article{Mathews:1989:USM,
author = "J. Mathews",
title = "Using a symbol manipulation program in statics to
compute centroids and moments",
journal = j-COED,
volume = "9",
number = "1",
pages = "52--55",
month = jan # "-" # mar,
year = "1989",
CODEN = "CWLJDP",
ISSN = "0736-8607",
bibdate = "Mon Sep 30 05:52:00 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., California State Univ., Fullerton, CA,
USA",
classification = "C7310 (Mathematics); C7440 (Civil and mechanical
engineering); C7810C (Computer-aided instruction)",
fjournal = "CoED",
keywords = "16 Bit; 16-Bit computers; Algebra systems; Centroids;
Educational computing; Interactive software; Mechanical
engineering computing; Moments; MS-DOS; MuMATH;
Statics; Symbol manipulation program",
numericalindex = "Word length 1.6E+01 bit",
thesaurus = "Educational computing; Mathematics computing;
Mechanical engineering computing; Statics; Symbol
manipulation",
}
@Book{Nakamura:1989:SCS,
author = "Hideharu Nakamura and Shouichi Matsui",
title = "Symbolic Computation in Structural Mechanics using
{REDUCE}",
publisher = "Gihodo Shuppan Company Ltd.",
address = "1-11-41, Akasaka, Minato-Ku, 107 Tokyo, Japan",
pages = "????",
year = "1989",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Ng:1989:CCB,
author = "Tze Beng Ng",
title = "Computation of the cohomology of {BSO}$_n$ (16) for $
23 \leq n \leq 26 $ using {REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "1",
pages = "93--99",
month = jan,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C6130 (Data handling techniques);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Nat. Univ. of Singapore, Kent Ridge,
Singapore",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "base space; fibration; {Gr{\"o}bner} basis method;
Leray-; mod 2 cohomology ring; polynomial algebra;
polynomial structure; polynomials; REDUCE; Serre
spectral sequence; symbol manipulation",
treatment = "P Practical",
}
@Article{Ng:1989:CCN,
author = "Tze Beng Ng",
title = "Computation of the Cohomology of $ {B \hat {S}O_n < 16
> } $ for $ 23 \leq n \leq 26 $ using {REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "1",
pages = "93--99",
month = jan,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
}
@Article{Ng:1989:CCU,
author = "Tze Beng Ng",
title = "Computation of the cohomology of {$ {B} \hat {\rm
S}{\rm O}_n \langle 16 \rangle $} for $ 23 \leq n \leq
26 $ using {REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "1",
pages = "93--100 (or 93--99??)",
month = jan,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "55-04 (68-04 68Q40)",
MRnumber = "984 274",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C6130 (Data handling techniques);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Nat. Univ. of Singapore, Kent Ridge,
Singapore",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "polynomials; symbol manipulation; REDUCE; polynomial
structure; Gr{\"o}bner basis method; Leray-Serre
spectral sequence; fibration; mod 2 cohomology ring;
base space; polynomial algebra",
treatment = "P Practical",
xxtitle = "Computation of the cohomology of {$BSO_n(16)$} for $23
\leq n \leq 26$ using {REDUCE}",
}
@Article{Ronveaux:1989:DES,
author = "A. Ronveaux and G. Thiry",
title = "Differential Equations of Some Orthogonal Families in
{REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "8",
number = "5",
pages = "537--541",
month = nov,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "34-04 (33-04)",
MRnumber = "90k:34001",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4240 (Programming and
algorithm theory)",
corpsource = "Phys. Math., Fac. Univ. N. D. de la Paix, Namur,
Belgium",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algorithm theory; differential equations; equation;
orthogonal families; polynomials; REDUCE; REDUCE
Differential Equations; second-order differential",
treatment = "T Theoretical or Mathematical",
}
@Article{Sage:1989:EAT,
author = "Martin L. Sage",
title = "Erratum: {``An algebraic treatment of quantum
vibrations using REDUCE'' [J. Symbolic Comput. {\bf 5}
(1988), no. 3, 377--384]}",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "1",
pages = "101--101",
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "81-04",
MRnumber = "984 275",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "See \cite{Sage:1988:ATQ}.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
}
@Article{Saito:1989:DCA,
author = "O. Saito and Y. Miura and T. Umeno and T. Ueyama and
K. Abe",
title = "Development of computer aided design and analysis
system for robot manipulators using algebraic
manipulation language {Reduce}",
journal = "IFAC Proceedings Series",
volume = "7",
pages = "231--236",
year = "1989",
CODEN = "IPSEET",
ISSN = "0741-1146",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Toyohashi Univ of Technology",
affiliationaddress = "Aichi, Jpn",
classification = "691; 723; 731; 931",
conference = "Computer Aided Design in Control Systems 1988 ---
Selected Papers from the 4th IFAC Symposium",
conferenceyear = "1989",
journalabr = "IFAC Proc Ser",
keywords = "Algebraic Manipulation Language; Arms; C-Language;
Computer Aided Design; Computer Programming Languages;
Kinematics; Materials Handling--Manipulators; Robots,
Industrial; Symbolic Manipulation",
meetingaddress = "Beijing, China",
meetingdate = "Aug 23--25 1988",
meetingdate2 = "08/23--25/88",
sponsor = "IFAC, Applications Committee (APCOM); IFAC, Systems
Engineering Committee (SECOM); IFAC, Education
Committee (EDCOM); IFAC, Computers Committee (COMPUT);
IFAC, Theory Committee (THEORY); et al",
}
@InProceedings{Spiridonova:1989:SEA,
author = "M. Spiridonova",
title = "Some extensions and applications of {REDUCE} system",
crossref = "Davenport:1989:EEC",
pages = "136--137",
year = "1989",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
corpsource = "Inst. of Math., Bulgarian Acad. of Sci., Sofia,
Bulgaria",
keywords = "algebra; differential geometry; Laplace
transformation; Laplace transforms; mathematical
geodesy; mathematics computing; packages; power series;
REDUCE system; series (mathematics); software;
spherical triangles; symbol manipulation; symbolic;
transformation bases",
sponsororg = "Robotron; Rank Xerox",
treatment = "A Application",
}
@Book{Stauffer:1989:CSC,
author = "Dietrich Stauffer and F. W. Hehl and V. Winkelmann and
J. G. Zabolitzky",
title = "Computer simulation and computer algebra: lectures for
beginners",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "ix + 155",
year = "1989",
ISBN = "0-387-51141-5",
ISBN-13 = "978-0-387-51141-2",
LCCN = "QA76.9.C65 C656 1989",
bibdate = "Fri Nov 01 07:19:07 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Suppes:1989:ICT,
author = "Patrick Suppes and Shuzo Takahashi",
title = "An Interactive Calculus Theorem-Prover for Continuity
Properties",
journal = j-J-SYMBOLIC-COMP,
volume = "7",
number = "6",
pages = "573--590",
month = jun,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68T15 (03B35 04-04 26A15)",
MRnumber = "91a:68242",
MRreviewer = "R. C. T. Lee",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C1230 (Artificial intelligence); C1160 (Combinatorial
mathematics); C4210 (Formal logic)",
corpsource = "Inst. for Math. Studies in the Social Sci., Stanford
Univ., CA, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Analysis; calculus; continuity properties; interactive
theorem-; prover; resolution theorem-prover; set; set
theory; symbol manipulation; symbolic computation;
theorem proving; theorem-prover; theory; VERIFY",
treatment = "T Theoretical or Mathematical",
}
@Article{Surguladze:1989:LPM,
author = "L. R. Surguladze and F. V. Tkachov",
title = "{LOOPS}: Procedures for Multiloop Calculations in
Quantum Field Theory for the {REDUCE} System",
journal = j-COMP-PHYS-COMM,
volume = "55",
number = "2",
publisher = "North Holland Publishing Company",
pages = "205--215",
month = sep,
year = "1989",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Oct 24 12:47:46 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "Acad of Sciences of the USSR",
affiliationaddress = "Moscow, USSR",
classification = "723; 931",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; Computational Physics; Computer
Software; Computers, Digital--Computational Methods;
Quantum Field Theory; Quantum Theory--Computer
Applications; Software Package Reduce",
}
@TechReport{Thas:1989:CRMa,
author = "C. Thas",
title = "A collection of {REDUCE} and {MACSYMA} programs about
college geometry. Part 1",
number = "5",
institution = "State University of Gent",
address = "Gent, Belgium",
month = sep,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@TechReport{Thas:1989:CRMb,
author = "C. Thas",
title = "A collection of {REDUCE} and {MACSYMA} programs about
college geometry. Part 2",
number = "5",
institution = "State University of Gent",
address = "Gent, Belgium",
month = sep,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@Article{Umeno:1989:SCA,
author = "Takaji Umeno and Syuichi Yamashita and Osami Saito and
Kenichi Abe",
title = "Symbolic Computation Application for the Design of
Linear Multivariable Control Systems",
journal = j-J-SYMBOLIC-COMP,
volume = "8",
number = "6",
pages = "581--588",
month = dec,
year = "1989",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "93B40 (68Q40)",
MRnumber = "1 045 542",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C1340B (Multivariable systems); C7310 (Mathematics);
C1340D (Discrete systems); C7420 (Control
engineering)",
corpsource = "Toyohashi Univ. of Technol., Aichi, Japan",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebraic design; bilateral equations; control system;
control system synthesis; design; discrete time
systems; discrete-time; linear; linear multivariable
control; manipulation; matrix equations; multivariable
control systems; package; polynomial; polynomials;
rational function matrices; REDUCE; software; symbol;
symbolic computation; systems; unilateral equations",
treatment = "A Application; P Practical",
}
@InProceedings{vanHulzen:1989:COP,
author = "J. A. {van Hulzen} and B. J. A. Hulshof and B. L.
Gates and M. C. {van Heerwaarden}",
title = "A code optimization package for {REDUCE}",
crossref = "Gonnet:1989:PAI",
pages = "163--170",
year = "1989",
bibdate = "Mon Oct 26 07:36:00 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/auto.diff.bib",
abstract = "A survey of the strategy behind and the facilities of
a code optimization package for REDUCE are given. The
authors avoid a detailed discussion of the different
algorithms and concentrate on the user aspects of the
package. Examples of straightforward and more advanced
usage are shown.",
acknowledgement = ack-nhfb,
affiliation = "Twente Univ., Dept. of Comput. Sci., Enschede,
Netherlands",
classification = "C6130 (Data handling techniques); C6150C (Compilers,
interpreters and other processors); C7310
(Mathematics)",
comment = "Char --- van Hulzen's work is available within the
GENTRAN package in REDUCE. GENTRAN is available over
the Internet from the Reduce Network Library,
reduce-net@rand.org.",
keywords = "Code optimization package; Compilers; REDUCE; User
aspects",
referred = "[Char91a]; [Gold91a].",
thesaurus = "Mathematics computing; Optimisation; Program
compilers; Symbol manipulation",
}
@InCollection{Winkelmann:1989:RBS,
author = "Volker Winkelmann and Friedrich W. Hehl",
editor = "D. Stauffer and F. W. Hehl and V. Winkelmann and J. G.
Zabolitzky",
booktitle = "Computer Simulation and Computer Algebra. Lectures for
Beginners",
title = "{REDUCE} for Beginners. Six Lectures on the
Application of Computer Algebra",
chapter = "3",
publisher = pub-SV,
address = pub-SV:adr,
edition = "2nd",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.1.bib; Theory/reduce.bib",
}
@InProceedings{Yamamoto:1989:RIP,
author = "T. Yamamoto and Y. Aoki",
title = "{REDUCE} 3.2 {iAPX86\slash 286-based} personal
computers",
crossref = "Davenport:1989:EEC",
publisher = pub-SV,
address = pub-SV:adr,
pages = "134--135",
year = "1989",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C5470 (Performance evaluation and
testing)",
corpsource = "Dept. of Inf. Eng., Hokkaido Univ., Sapporo, Japan",
keywords = "16 bit; 16-bit; addressing architecture; algebra;
AMI-Lisp; architectural design; computer architecture;
evaluation; iAPX86/286-based personal computers; IBM
compatible machines; IBM-PC; LISP; Lisp kernel;
manipulation; mathematics computing; microcomputer
applications; performance; performance evaluation;
porting procedure; REDUCE 3.2; software packages;
standard algebraic system; symbol",
sponsororg = "Robotron; Rank Xerox",
treatment = "P Practical",
}
@InProceedings{Adamchik:1990:ACI,
author = "V. S. Adamchik and O. I. Marichev",
title = "The algorithm for calculating integrals of
hypergeometric type functions and its realization in
{REDUCE} system",
crossref = "Watanabe:1990:IPI",
pages = "212--224",
year = "1990",
bibdate = "Mon May 11 18:13:57 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Byelorussian Univ.",
affiliationaddress = "Minsk, Byelorussian SSR, USSR",
classification = "721; 723; 921; B0290M (Numerical integration and
differentiation); C4160 (Numerical integration and
differentiation)",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
keywords = "Algebraic Manipulation System Reduce; Analytical
integration; Automata Theory; Computability and
Decidability; Computer Programming --- Algorithms;
Convergence; Hypergeometric type functions; INTEGRATOR
system; Mathematical Techniques --- Integration;
Pascal; REDUCE system; Residue number theory",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
thesaurus = "Convergence of numerical methods; Integration",
}
@Article{Anon:1990:SMD,
author = "Anon",
title = "Study on a method for direct optical measurement of
the nonlinear fracture parameter {$ T \cdot $}
integral. (1st report, numerical simulation aided by
computerized symbolic manipulation for the formation
process of caustic pattern)",
journal = "Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of
the Japan Society of Mechanical Engineers, Part A",
volume = "56",
number = "522",
pages = "310--316",
month = feb,
year = "1990",
CODEN = "NKGADA",
ISSN = "0387-5008",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classification = "408; 723; 741; 921; 931",
journalabr = "Nippon Kikai Gakkai Ronbunshu A Hen",
keywords = "Caustic Method; Computer Software; Computerized
Symbolic Manipulation; Experimental Stress Analysis;
Fracture Mechanics; Mathematical Techniques--Numerical
Analysis; Nonlinear Fracture Parameter;
Optics--Applications; Path-Independent t\$dot Integral;
Software Package Reduce; Stresses--Analysis",
language = "Japanese",
xxnote = "Check title??",
}
@Article{Barbier:1990:AGS,
author = "Christine Barbier and Philip J. Clark and Peter
Bettess and Jacqueline A. Bettess",
title = "Automatic generation of shape functions for finite
element analysis using {REDUCE}",
journal = j-ENG-COMP,
volume = "7",
number = "4",
pages = "349--359 (or 349--358??)",
month = dec,
year = "1990",
CODEN = "ENCOEN",
ISSN = "0264-4401",
ISSN-L = "0264-4401",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of Newcastle-upon-Tyne",
affiliationaddress = "Newcastle-upon-Tyne, Engl",
classification = "723; 921",
fjournal = "Engineering Computations",
journalabr = "Eng Comput (Swansea Wales)",
keywords = "Algebraic Programming Languages; Computer Programming
Languages--Performance; Database Systems--Synthesis;
Finite Element Analysis; Finite Element Method;
Function Generators--Automation; Mathematical
Techniques; Shape Function Generation; Shape Function
Libraries; Symbolic Manipulation Languages",
}
@InProceedings{Bradford:1990:PBA,
author = "Russell Bradford",
booktitle = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation (Aug 20--24 1990:
Tokyo, Jpn)",
title = "Parallelization of the {Buchberger} algorithm",
publisher = "ACM",
address = "New York, NY, USA",
pages = "296--??",
year = "1990",
ISBN = "0-201-54892-5",
ISBN-13 = "978-0-201-54892-1",
LCCN = "????",
bibdate = "Sun Oct 25 11:42:03 1998",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of Bath",
affiliationaddress = "Bath, Engl",
classification = "722; 723; 921",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
keywords = "Algebraic Manipulation System Reduce; Algorithms;
Buchberger's Algorithm; Computer Programming; Computer
Systems, Digital --- Parallel Processing; Groebner
Basis; Mathematical Techniques --- Algebra",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
}
@Article{Caprasse:1990:RGF,
author = "H. Caprasse",
title = "Renormalization Group, Function Iterations and
Computer Algebra",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "1",
pages = "61--72",
month = jan,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "81E15",
MRnumber = "1 044 915",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A1110G (Renormalization); A0260 (Numerical
approximation and analysis); C4170 (Differential
equations); C4240 (Programming and algorithm theory);
C1160 (Combinatorial mathematics)",
comment = "Based on a renormalization group equation met in
Quantum Field Theory, Continuous Iterations of a large
class of functions are computed using {REDUCE}.",
corpsource = "Inst. de Phys. au Sart Tilman, Liege Univ., Belgium",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Abelian group; algorithm theory; boundary condition;
computer algebra; differential equations; function
iterations; iterative methods; perturbation techniques;
perturbative; quantum field; quantum field theory;
quantum field theory, differential equations; REDUCE;
renormalisation; renormalisation group equation;
solutions; theory",
treatment = "T Theoretical or Mathematical",
xxtitle = "Renormalisation Group, Function Iteration and Computer
Algebra",
}
@Article{Darbaidze:1990:SCR,
author = "Ya. Z. Darbaidze and Z. V. Merebashvili and V. A.
Rostovtsev",
title = "Some computer realizations of the {REDUCE-3}
calculations for exclusive processes",
journal = j-FORTSCHR-PHYS,
volume = "38",
number = "9",
pages = "717--731",
month = "????",
year = "1990",
CODEN = "FPYKA6",
ISSN = "0015-8208",
ISSN-L = "0015-8208",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A1300 (Specific reactions and phenomenology); A1110
(Field theory); A0210 (Algebra, set theory, and graph
theory); C7320 (Physics and Chemistry)",
corpsource = "High Energy Phys. Inst., Tbilisi State Univ., Georgian
SSR, USSR",
fjournal = "{Fortschritte der Physik = Progress of Physics}",
keywords = "algorithm; alpha /sup 3/ order; COLOR-Factor;
elementary particle scattering; exclusive processes;
Factorizator; infrared radiation corrections; matrix
algebra; noncommutative algebras; perturbation;
perturbation theory; physics computing; quantum field
theory; REDUCE-3; squared gauge invariant set;
supersymmetric commutative relation; theory; tree
diagrams",
treatment = "T Theoretical or Mathematical",
}
@Article{Eisenberger:1990:ASA,
author = "Moshe Eisenberger",
title = "Application of Symbolic Algebra to the Analysis of
Plates on Variable Elastic Foundation",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "2",
pages = "207--214 (or 207--213??)",
month = feb,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A4630C (Elasticity); A0260 (Numerical approximation
and analysis); A0210 (Algebra, set theory, and graph
theory); C7440 (Civil and mechanical engineering);
C4140 (Linear algebra); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Civil Eng., Carnegie Mellon Univ.,
Pittsburgh, PA, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "approximate finite element; approximate solutions;
approximation theory; civil engineering; civil
engineering computing; convergence; convergence of
numerical methods; displacement method; elasticity;
foundation; foundation stiffness; matrix algebra; plate
analysis; plate element stiffness matrix; symbolic
algebra; variable elastic; variable Winkler elastic
foundation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Elishakoff:1990:CSA,
author = "Isaac Elishakoff and Baruch Pletner",
booktitle = "Symbolic Computations and Their Impact on Mechanics
(Nov 25--30 1990: Dallas, TX, USA)",
title = "Computerized symbolic algebraic evaluation of buckling
loads by {Snitko}'s method",
journal = "American Society of Mechanical Engineers, Pressure
Vessels and Piping Division (Publication) PVP",
volume = "205",
pages = "175--187",
year = "1990",
CODEN = "AMPPD5",
ISSN = "0277-027X",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Florida Atlantic Univ",
affiliationaddress = "Boca Raton, FL, USA",
classification = "408; 921",
conference = "Winter Annual Meeting of the American Society of
Mechanical Engineers",
conferenceyear = "1990",
journalabr = "ASME Pressure Vessels Piping Div Publ PVP",
keywords = "Analysis; Columns; Computer Algebra; Computer Program
Reduce; Mathematical Techniques --- Algebra; Structural
Mechanics; Symbolic Algebraic Evaluation",
meetingaddress = "Dallas, TX, USA",
meetingdate = "Nov 25--30 1990",
meetingdate2 = "11/25--30/90",
sponsor = "ASME, Pressure Vessels and Piping Div; ASME, Applied
Mechanics Div; ASME, Computers in Engineering Div",
}
@InProceedings{Fitch:1990:DSR,
author = "John Fitch",
booktitle = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation (Aug 20--24 1990:
Tokyo, Jpn)",
title = "A delivery system for {REDUCE}",
crossref = "Watanabe:1990:IPI",
pages = "76--81",
year = "1990",
ISBN = "0-201-54892-5",
ISBN-13 = "978-0-201-54892-1",
LCCN = "????",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "A non-LISP delivery system for REDUCE is described and
compared with other implementations of REDUCE for speed
and size, as well as ease of porting. The mechanism for
this delivery system is direct compilation of the
REDUCE sources into ANSI C, which is then compiled and
linked together with some support code for arithmetic
and space administration. The resulting system is
compared with a number of other implementations of true
REDUCE, and is shown to be similar in size, but faster.
The time to port the system is measured in hours. Also
considered are the difficulties in this method of
delivering LISP code, and an assessment of the loss of
flexibility.",
acknowledgement = ack-nhfb,
affiliation = "Sch. of Math. Sci., Bath Univ., UK",
classcodes = "C7310 (Mathematics)",
classification = "723; 921; C7310 (Mathematics)",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
corpsource = "Sch. of Math. Sci., Bath Univ., UK",
keywords = "algebra; Algebraic Manipulation System Reduce;
Computer Metatheory; Computer Programming Languages ---
C; Delivery system; delivery system; LISP code;
Mathematical Techniques --- Algebra; Programming
Theory; REDUCE; symbol manipulation",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
sponsororg = "Inf. Processing Soc. Japan; Japan Soc. Software Sci.
Technol.; ACM",
thesaurus = "Algebra; Symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Ganzha:1990:ARS,
author = "V. G. Ganzha and S. V. Meleshko and V. P. Shelest",
booktitle = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation (Aug 20--24 1990:
Tokyo, Jpn)",
title = "Application of {REDUCE} system for analyzing
consistency of systems of {PDE's}",
crossref = "Watanabe:1990:IPI",
pages = "301--??",
year = "1990",
ISBN = "0-201-54892-5",
ISBN-13 = "978-0-201-54892-1",
LCCN = "????",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "A consistency analysis of differential equation
systems involves a sequence of differential ---
algebraic operations. At present there are known two
methods: the Cartan's and the Riquier-Janet-Kuranishi
(RJK) method which are equivalent. The implementation
of the both of the methods with the purpose of their
practical application leads to large symbolic
computations which often cannot be performed without a
computer. The problem on the consistency investigation
of a specific overdetermined system was solved in [1]
with the aid of a computer. More recently, a number of
computer codes implementing the both of the above
methods on a computer have been developed (for example
[2]). In the present paper we propose a realization of
the RJK algorithm the REDUCE system.",
acknowledgement = ack-nhfb,
affiliation = "Inst of Theoretical and Applied Mechanics",
affiliationaddress = "Novosibirsk, USSR",
classification = "721; 921; C4170 (Differential equations); C4240
(Programming and algorithm theory); C7310
(Mathematics)",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
keywords = "Algebraic Manipulation System Reduce; Automata Theory;
Computability and Decidability; Consistency;
Consistency analysis; Differential equation systems;
Mathematical Techniques --- Algebra; Partial
differential equations; Riquier-Janet-Kuranishi method;
RJK method; Zeros of Polynomials",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
thesaurus = "Computational complexity; Partial differential
equations; Symbol manipulation",
}
@InProceedings{Ganzha:1990:LAS,
author = "Victor G. Ganzha and Michail Yu. Shashkov",
booktitle = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation (Aug 20--24 1990:
Tokyo, Jpn)",
title = "Local approximation study of difference operations by
means of {REDUCE} system",
crossref = "Watanabe:1990:IPI",
pages = "185--192",
year = "1990",
ISBN = "0-201-54892-5",
ISBN-13 = "978-0-201-54892-1",
LCCN = "????",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "This work is devoted to the description of new
algorithms and programs in the REDUCE system for the
automated study of a local order of the approximation
of difference operator written on non-orthogonal
meshes. The performance of the program is demonstrated
by local approximation of several difference operators
in one two-dimensional cases.",
acknowledgement = ack-nhfb,
affiliation = "Inst of Theoretical and Applied Mechanics",
affiliationaddress = "Novosibirsk, USSR",
classification = "723; 921; B0290F (Interpolation and function
approximation); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
keywords = "Algebraic Manipulation System Reduce; Algorithms;
Approximation; Computer Programming; Difference
operators; Difference Operators; Local order;
Mathematical Techniques --- Operators; Nonorthogonal
meshes; Numerical methods; REDUCE system",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
thesaurus = "Difference equations; Function approximation",
xxtitle = "Local approximation study of difference operators by
means of {REDUCE} system",
}
@Article{Gerdt:1990:CCI,
author = "V. P. Gerdt and A. Yu. Zharkov",
title = "Computer Classification of Integrable Coupled
{KdV}-like Systems",
journal = j-J-SYMBOLIC-COMP,
volume = "10",
number = "2",
pages = "203--208 (or 203--207??)",
month = aug,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "35-04 (35Q53)",
MRnumber = "91h:35003",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib; Theory/reduce.bib",
abstract = "The foundations of the symmetry approach to the
classification problem of integrable {non-linear}
evolution systems are briefly described. Within the
framework of the symmetry approach the {ten-parametric}
family of the third order {non-linear} evolution
coupled {KdV-like} systems is investigated. The
necessary integrability conditions lead to an
{over-determined non-linear} algebraic system. To solve
that system an effective method based on its structure
has been used. This allows us to obtain the complete
list of integrable systems of a given type. All
computation has been completed on the basis of computer
algebra systems {FORMAC} and {REDUCE}.",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics)",
corpsource = "Lab. of Comput. Tech. and Autom., Joint Inst. for
Nucl. Res., Moscow, USSR",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "approach; classification problem; evolution equations
PDE; FORMAC; integrable coupled KdV-like systems;
integrable nonlinear evolution systems; mathematics
computing; nonlinear algebraic; REDUCE; symbol
manipulation; symmetry; system; ten-parametric family",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Gerdt:1990:CGN,
author = "Vladimir P. Gerdt and Alexey Yu. Zharkov",
booktitle = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation (Aug 20--24 1990:
Tokyo, Jpn)",
title = "Computer generation of necessary integrability
conditions for polynomial-nonlinear evolution systems",
crossref = "Watanabe:1990:IPI",
pages = "250--254",
year = "1990",
ISBN = "0-201-54892-5",
ISBN-13 = "978-0-201-54892-1",
LCCN = "????",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "We use the symmetry approach to establish an efficient
program in REDUCE for verifying necessary integrability
conditions for polynomial-nonlinear evolution equations
and systems in one-spatial and one-temporal dimensions.
These conditions follow from the existence of higher
infinitesimal symmetries and conservation law
densities. We briefly consider the mathematical
background of the symmetry approach to the problem of
integrability. In the description of our algorithms and
their implementation in REDUCE we present in particular
the basic algorithm for reversing the operator of the
total derivative with respect to the spatial variable.
One of the most interesting application of the present
program is the problem of classification when the
complete list of integrable equations from a given
multiparametric family is needed. In this case the
program generates necessary integrability conditions in
form of a system of nonlinear algebraic equations in
the parameters present in the initial equations. In
spite of their often complicated structure, there are
systems for which the solution can be found in exact
form by applying the technique of Groebner basis. We
present three examples of evolution equations for which
this system can in fact be solved.",
acknowledgement = ack-nhfb,
affiliation = "Lab. of Comput. Tech. and Autom., Joint Inst for
Nuclear Research",
affiliationaddress = "Moscow, USSR",
classification = "721; 723; 921; C1120 (Analysis); C4170 (Differential
equations); C7310 (Mathematics)",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
keywords = "Automata Theory; Computability and Decidability;
Mathematical Techniques --- Integration; Computer
Programming --- Algorithms; Groebner Basis; Algebraic
Manipulation System Reduce; Integrability;
Integrability; Polynomial nonlinear evolution systems;
REDUCE; Symmetry approach; Spatial variable; Nonlinear
algebraic equations; Gr{\"o}bner basis",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
thesaurus = "Differential equations; Symbol manipulation",
}
@TechReport{Grozin:1990:REPa,
author = "A. G. Grozin",
title = "{REDUCE} in elementary particle physics.
Introduction",
number = "INP 90-42",
institution = "Institute of Nuclear Physics",
address = "Novosibirsk, USSR",
year = "1990",
bibdate = "Sat Feb 24 09:48:58 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
comment = "These 5 preprints together with the previous 3 will be
published as a book ``Solving physical problems with
REDUCE''",
}
@TechReport{Grozin:1990:REPb,
author = "A. G. Grozin",
title = "{REDUCE} in elementary particle physics. Quantum
electrodynamics",
number = "INP 90-71",
institution = "Institute of Nuclear Physics",
address = "Novosibirsk, USSR",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@TechReport{Grozin:1990:REPc,
author = "A. G. Grozin",
title = "{REDUCE} in elementary particle physics. Quantum
chromodynamics",
number = "INP 90-62",
institution = "Institute of Nuclear Physics",
address = "Novosibirsk, USSR",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@Article{Hughes:1990:SCF,
author = "D. I. Hughes",
title = "Symbolic Computation with {Fermions}",
journal = j-J-SYMBOLIC-COMP,
volume = "10",
number = "6",
pages = "657--664",
month = dec,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40 (81-04)",
MRnumber = "91j:68063",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "A set of {REDUCE} routines for manipulating operators
which anticommute amongst themselves is described.
These routines have applications in theories such as
supergravity where anticommuting operators are used to
represent fermions. The Dirac bracket of the
supersymmetry constraints arising in a quantum
cosmological model based on N = 1 supergravity coupled
to a massless scalar multiplet is calculated as an
example.",
acknowledgement = ack-nhfb,
classcodes = "A9880 (Cosmology); A9530S (Relativity and
gravitation); A0465 (Supergravity); A1130P
(Supersymmetry); A0270 (Computational techniques);
C7320 (Physics and Chemistry)",
corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge
Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "anticommute; cosmology; Dirac bracket; fermions;
manipulating operators; massless scalar multiplet;
physics computing; quantum cosmological model; REDUCE
routines; supergravity; supersymmetry; symbol
manipulation",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Ioakimidis:1990:CEC,
author = "N. I. Ioakimidis",
title = "Construction of the Equation of Caustics in Dynamic
Plane Elasticity Problems with the Help of {REDUCE}",
institution = "Division of Applied Mathematics and Mechanics, School
of Engineering, University of Patras",
address = "Patras, Greece",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Ioakimidis:1990:CSI,
author = "N. I. Ioakimidis",
title = "Construction of Singular Integral Equations for
Interacting Straight Cracks by Using {REDUCE}",
institution = "Division of Applied Mathematics and Mechanics, School
of Engineering, University of Patras",
address = "Patras, Greece",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Liska:1990:FRP,
author = "R. Liska and L. Drska",
title = "{FIDE}: {A REDUCE} package for automation of {FInite}
difference method for solving {pDE}",
crossref = "Watanabe:1990:IPI",
pages = "169--176",
year = "1990",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "Discusses the automation of the process of numerical
solving of partial differential equations systems
(PDES) by means of computer algebra. For solving PDES
the finite difference method is applied. The computer
algebra system REDUCE and the numerical programming
language FORTRAN are used in the methodology presented,
its main aim being to speed up the process of preparing
numerical programs for solving PDES. Quite often,
especially for complicated systems, this process is a
tedious and time consuming task. In the process several
stages can be found in which computer algebra can be
used for performing routine analytical calculations,
namely: transformation of differential equations into
different coordinate systems, discretization of
differential equations, analysis of difference schemes,
and generation of numerical programs. The FIDE package
is applied to two physical problems. The first one is
the nonlinear Schrodinger equation. The second one is
the Fokker--Planck equation. The numerical programs
have been tested and compared with similar published
calculations.",
acknowledgement = ack-nhfb,
affiliation = "Fac. of Nucl. Sci. and Phys. Eng., Tech. Univ. of
Prague, Czechoslovakia",
affiliationaddress = "Prague, Czech",
classcodes = "C4170 (Differential equations); C7310 (Mathematics)",
classification = "721; 723; 921; C4170 (Differential equations); C7310
(Mathematics)",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
corpsource = "Fac. of Nucl. Sci. and Phys. Eng., Tech. Univ. of
Prague, Czechoslovakia",
keywords = "Automata Theory; Computability and Decidability;
Computer algebra; computer algebra; Computer Algebra
Systems; Computer Programming --- Algorithms;
Coordinate systems; coordinate systems; difference
equations; difference method; differential equations;
Discretization; discretization; Discretization
Techniques; equation; FIDE; FInite; FInite difference
method; Fokker--Planck equation; FORTRAN;
Integro-interpolation; integro-interpolation;
Mathematical Techniques --- Differential Equations;
nonlinear Schrodinger; Nonlinear Schrodinger equation;
Numerical solving; numerical solving; partial; Partial
differential equations; partial differential equations;
PDE; REDUCE package; software packages; symbol
manipulation",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
sponsororg = "Inf. Processing Soc. Japan; Japan Soc. Software Sci.
Technol.; ACM",
thesaurus = "Difference equations; Partial differential equations;
Software packages; Symbol manipulation",
treatment = "P Practical; R Product Review",
}
@Article{Lloyd:1990:RBL,
author = "N. G. Lloyd and J. M. Pearson",
title = "{REDUCE} and the Bifurcation of Limit Cycles",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "2",
pages = "215--224",
month = feb,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "58F21 (58F14)",
MRnumber = "1 056 844",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib; Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C4170 (Differential equations);
C1120 (Analysis)",
corpsource = "Dept. of Math., Univ. Coll. of Wales, Dyfed, UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra system; bifurcation; computer; dynamical
systems; limit cycles; mathematics computing; nonlinear
differential equations; nonlinear ordinary differential
equations; polynomial differential systems; REDUCE",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Norman:1990:CBI,
author = "A. C. Norman",
title = "A critical-pair\slash completion based integration
algorithm",
crossref = "Watanabe:1990:IPI",
pages = "201--205",
year = "1990",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The presentation re-expresses the 1976 Risch method in
terms of rewrite rules, and thus exposes the major
problem it suffers from as a manifestation of the fact
that in certain circumstances the set of rewrites
generated is not confluent. This difficulty is then
attacked using a critical-pair/completion (CPC)
approach. For very many integrands it is then easy to
see that the initial set of rewrites used in the early
implementations do not need any extension, and this
fact explains the high level of competence of the
programs involved despite their shaky theoretical
foundations. For a further large collection of problems
even a simple CPC scheme converges rapidly; when the
techniques are applied to the REDUCE integration test
suite in all applicable cases a short computation
succeeds in completing the set of rewrites and hence
gives a secure basis for testing for integrability.
This paper describes the implementation of the CPC
process and discusses current limitations to and
possible future extended applications of it.",
acknowledgement = ack-nhfb,
affiliation = "Trinity Coll., Cambridge, UK",
classification = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
keywords = "Convergence; CPC scheme; Critical-pair/completion
based integration algorithm; Integrability; REDUCE
integration test suite; Rewrite rules; Transcendental
functions",
thesaurus = "Convergence of numerical methods; Integration;
Rewriting systems",
}
@TechReport{Nucci:1990:IRP,
author = "M. C. Nucci",
title = "Interactive {REDUCE} Programs for Calculating
Classical, Non-Classical and {Lie--B{\"a}cklund}
Symmetries of Differential Equations",
type = "Preprint",
number = "Math: 062090-051",
institution = "Georgia Institute of Technology, School of
Mathematics",
address = "Atlanta, GA, USA",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Book{Ochiai:1990:LAU,
author = "Mitsuyuki Ochiai and Kiyokazu Nagatomo",
title = "Linear Algebra using {REDUCE}",
publisher = "Kindai Kagaku sha",
address = "Tokyo, Japan",
pages = "????",
month = jan,
year = "1990",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "In Japanese.",
}
@InProceedings{Padget:1990:UPS,
author = "Julian Padget and Alan Barnes",
editor = "S. Watanabe and Morio Nagata",
booktitle = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation (Aug 20--24 1990:
Tokyo, Jpn)",
title = "Univariate Power Series Expansions in {REDUCE}",
publisher = pub-AW,
address = pub-AW:adr,
pages = "82--87",
year = "1990",
ISBN = "0-201-54892-5",
ISBN-13 = "978-0-201-54892-1",
LCCN = "????",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "We describe the development of a formal power series
expansion package for Reduce which takes advantage of
Reduce's domain mechanism to make for a seamless
integration of series values with the rest of the
Reduce system. Consequently, series values may be
manipulated with the same algebraic operators as other
algebraic objects. To create the illusion of infinite
power series a simulated lazy-evaluation mechanism has
been used. This paper reports our experience of using
the Reduce domain mechanism and documents the
algorithms and data structures that can be used to
implement and to represent power series.",
acknowledgement = ack-nhfb,
affiliation = "Univ of Bath",
affiliationaddress = "Bath, Engl",
classification = "723; 921",
conference = "ISSAC '90 Proceedings of International Symposium on
Symbolic and Algebraic Computation",
conferenceyear = "1990",
keywords = "Algebraic Manipulation System Reduce; Applications;
Computer Software; Mathematical Techniques --- Algebra;
Power Series Expansion",
meetingabr = "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
meetingaddress = "Tokyo, Jpn",
meetingdate = "Aug 20--24 1990",
meetingdate2 = "08/20--24/90",
sponsor = "Information Processing Soc of Japan; Japan Soc for
Software Science and Technology; ACM SIGSAM",
}
@Article{Rayna:1990:JPK,
author = "G. Rayna",
title = "{J. P. Keener} on {REDUCE} Software for Algebraic
Computation",
journal = j-BULL-MATH-BIOLOGY,
volume = "52",
number = "5",
pages = "697--??",
year = "1990",
ISSN = "0092-8240",
bibdate = "Mon Feb 12 15:34:00 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Savage:1990:SCF,
author = "Stuart B. Savage",
title = "Symbolic Computation of the Flow of Granular
Avalanches",
journal = j-J-SYMBOLIC-COMP,
volume = "9",
number = "4",
pages = "515--530",
month = apr,
year = "1990",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C7340 (Geophysics); C6130 (Data handling techniques)",
corpsource = "Lab. of Hydraulics, Hydrology and Glaciology,
ETH-Zentrum, Zurich, Switzerland",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Application; C-code; cohesionless granular material;
dense flowing snow avalanches; differential equations;
dimensional flow; flow of granular avalanches; GENTRAN;
geophysics computing; ice avalanches; Pade
approximants; perturbation equations; profiles;
rockfalls; Shanks transformations; symbol manipulation;
symbolic manipulation package REDUCE 3.3; two-;
velocity",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Tao:1990:SAM,
author = "Qingsheng Tao",
title = "Symbolic and algebraic manipulation for formulae of
interpolation and quadrature",
crossref = "Watanabe:1990:IPI",
pages = "306",
year = "1990",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Computer algebra has been used for construction and
analysis of algorithms of numerical computation. In the
paper, an attempt has been made to derive the formulae
of interpolation and quadrature with Computer Algebra.
In REDUCE language, the formula manipulation system for
interpolation INTEP and for quadrature QUADRAT are
developed. The two formula manipulators can be used to
derive Lagrange, Hermite and Birkhoff interpolation
formulae with any degree of polynomials and to derive
Newton--Cotes quadrature formulae and the quadrature
formulae involving the derivatives of the integrand.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Mech., Zhejiang Univ., Hangzhou, China",
classification = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation)",
keywords = "Algebraic manipulation; Birkhoff; Computer Algebra;
Formula manipulators; Hermite; INTEP; Interpolation;
Interpolation formulae; Lagrange; Newton--Cotes
quadrature formulae; QUADRAT; Quadrature; Symbolic
manipulation",
thesaurus = "Integration; Interpolation; Symbol manipulation",
}
@Article{Yamamoto:1990:ACC,
author = "Ichiro Yamamoto and Akira Kanagawa",
title = "Approximate column constants expressed in terms of
design parameters for hot-wire thermal diffusion
column",
journal = "Journal of Nuclear Science and Technology",
volume = "27",
number = "1",
pages = "49--55",
month = jan,
year = "1990",
CODEN = "JNSTAX",
ISSN = "0022-3131",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Thermal diffusion is a convenient way of separating
isotopes on a small scale. Although one-dimensional
analysis developed by Jones \& Furry is useful for
predicting separative performances of a hot-wire
thermal diffusion column for isotope separation, it is
not so simple and requires inevitably numerical
calculations with computers, because it involves the
column constants which cannot be evaluated
analytically. Approximate formulae for the column
constants were derived here by replacing the
logarithmic function for the radial temperature
distribution, which makes analytical integration
impossible. The results were verified by the symbolic
manipulating language REDUCE.",
acknowledgement = ack-nhfb,
affiliation = "Nagoya Univ",
affiliationaddress = "Nagoya, Jpn",
classification = "622; 641; 802; 803; 804",
journalabr = "J Nucl Sci Technol",
keywords = "Computer Language Reduce; Isotopes; Separation;
Separators; Thermal Diffusion; Thermal Diffusion
Column",
}
@InProceedings{Amirkhanov:1991:BOV,
author = "I. V. Amirkhanov and E. P. Zhidkov and I. E.
Zhidkova",
title = "The betatron oscillations in the vicinity of nonlinear
resonance in cyclic accelerator investigation",
crossref = "Watt:1991:IPI",
pages = "452--453",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Motion of charged particle in given fields in a cyclic
accelerator has been investigated. The nonlinear
problem of finding stable trajectories in the vicinity
of a resonance has been solved. The equations of motion
for charged particle deviation from ideal orbit or the
betatron oscillations equations (which are lateral to
the closed orbit oscillations with the frequencies $
\nu_x, \nu_z $ ) are studied using REDUCE-3.2. The
study of the equations formed by computer is applied to
two types of accelerators: (1) the averaged equations
in the vicinity of 19 resonances for a weakly focusing
accelerator (WFA) and (2) those in the vicinity of 24
resonances-for a strong focusing accelerator (SFA).",
acknowledgement = ack-nhfb,
affiliation = "JINR, Moscow, USSR",
classification = "A2920F (Betatrons); B7410 (Accelerators); C7320
(Physics and Chemistry)",
keywords = "Betatron oscillations; Charged particle deviation;
Cyclic accelerator; Nonlinear resonance; REDUCE-3.2;
Strong focusing accelerator; Weakly focusing
accelerator",
thesaurus = "Betatrons; Physics computing",
}
@InProceedings{BelKov:1991:RUC,
author = "Alexander A. Bel'Kov and Alexander V. Lanyov",
title = "{REDUCE} usage for calculation of low-energy process
amplitudes in chiral {QCD} model",
crossref = "Watt:1991:IPI",
pages = "454--455",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "We describe the extension of {REDUCE} capabilities for
the calculations of strong and weak meson processes
within the chiral Lagrangians with higher derivatives.
The main non-trivial difficulty is to obtain the
process amplitude from the Lagrangian, describing these
interactions. Another one is to overcome some {REDUCE}
deficiencies such as the lack of arguments in the
matrix data type as well as of some physical operations
with the particle operators. This package of procedures
allows one to calculate the amplitudes of the strong
and weak processes by simple specifying the particles
involved and their momenta.",
acknowledgement = ack-nhfb,
affiliation = "Particle Phys. Lab., JINR, Moscow, USSR",
classification = "A0270 (Computational techniques); A1110 (Field
theory); A1130R (Chiral symmetries); A1235C (General
properties of quantum chromodynamics (dynamics,
confinement, etc.)); C7320 (Physics and Chemistry)",
keywords = "Chiral Lagrangians; Meson processes; REDUCE
capabilities",
thesaurus = "Chiral symmetries; Colour model; Meson field theory;
Physics computing; Symbol manipulation",
}
@Book{Brackx:1991:CAL,
author = "F. Brackx and D. Constales",
title = "Computer algebra with {LISP} and {REDUCE}: an
introduction to computer-aided pure mathematics",
volume = "72",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xii + 264",
year = "1991",
DOI = "http://dx.doi.org/10.1007/978-94-011-3502-3",
ISBN = "0-7923-1441-7",
ISBN-13 = "978-0-7923-1441-7",
LCCN = "QA155.7.E4 B72 1991",
MRclass = "68Q40",
MRnumber = "1474724",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib",
note = "An introduction to computer-aided pure mathematics",
series = "Mathematics and Its Applications",
URL = "http://www.zentralblatt-math.org/zmath/en/search/?an=0733.68047",
acknowledgement = ack-nhfb,
keywords = "Reduce computer-algebra system",
preface = "This text is based upon a series of lectures on LISP
and REDUCE held at the Universities of Averio and
Coimbra (Portugal), as part of the European Community's
ERASMUS Project, and at the University of Gent
(Belgium). It has been adapted to the newest release of
REDUCE, version 3.4",
tableofcontents = "1. Front Matter / i--xi \\
2. Introduction / F. Brackx, D. Constales / 1--16 \\
3. Standard LISP and RLISP / F. Brackx, D. Constales /
17--104 \\
4. REDUCE Algebraic Mode / F. Brackx, D. Constales /
105--200 \\
5. Applications / F. Brackx, D. Constales / 201--218
\\
6. A Package for Three--Dimensional Euclidean Geometry
/ F. Brackx, D. Constales / 219--255 \\
7. Back Matter / / 257--264",
xxpages = "xi + 264",
}
@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 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:01 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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",
fjournal = "SIGSAM Bulletin",
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",
}
@Article{Diver:1991:MWC,
author = "D. A. Diver",
title = "Modelling Waves with Computer Algebra",
journal = j-J-SYMBOLIC-COMP,
volume = "11",
number = "3",
pages = "275--290 (or 275--289??)",
month = mar,
year = "1991",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "A sophisticated model for linear waves in an
inhomogeneous plasma is tackled completely using the
computer algebra system {REDUCE}. The algebra code
mirrors the mathematics, and is structured in a simple
and straightforward manner. In so doing, the solution
technique is made obvious, and the overall philosophy
of the approach is intuitive to the {non-specialist}
computer algebra user.",
acknowledgement = ack-nhfb,
classcodes = "A5235 (Waves, oscillations, and instabilities in
plasma); C7320 (Physics and Chemistry)",
corpsource = "Dept. of Phy. and Astron., Glasgow Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "computer algebra; inhomogeneous plasma; linear waves;
physics computing; plasma waves; REDUCE",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Eastwood:1991:OVR,
author = "James W. Eastwood",
title = "{ORTHOVEC}: version 2 of the {REDUCE} program for
{$3$-D} vector analysis in orthogonal curvilinear
coordinates",
journal = j-COMP-PHYS-COMM,
volume = "64",
number = "1",
pages = "121--122",
month = apr,
year = "1991",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "AEA Technology, Culham Lab",
affiliationaddress = "Abingdon, Engl",
classification = "631; 722; 723; 932",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; Computer Algebra; Computer Programming
Languages --- High Level Languages; Computer Software;
Computer Workstations --- Applications; Hydrodynamics
--- Research; Mathematical Techniques --- Vectors;
orthovec; Plasmas --- Research; Series Expansions;
Three Dimensional Vector Analysis",
}
@Article{Elishakoff:1991:ABC,
author = "Isaac Elishakoff and Baruch Pletner",
title = "Analysis of buckling by computer algebra",
journal = j-COMPUT-METH-APPL-MECH-ENG,
volume = "88",
number = "3",
pages = "299--309",
month = jul,
year = "1991",
CODEN = "CMMECC",
ISSN = "0045-7825, 0374-2830",
ISSN-L = "0045-7825",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Florida Atlantic Univ",
affiliationaddress = "Boca Raton, FL, USA",
classification = "408; 723; 921",
fjournal = "Computer Methods in Applied Mechanics and
Engineering",
journalabr = "Comput Methods Appl Mech Eng",
keywords = "Buckling; Columns; Computer Algebra Buckling Analysis;
Computer Programming Languages --- fortran; Computer
Programs; Differential Equations; Iterative Initial
Parameter Method; Mathematical Techniques --- Algebra;
Mathematical Techniques --- Iterative Methods; Software
Package Reduce; Structural Analysis --- Computer
Applications",
}
@TechReport{Ganzha:1991:SDM,
author = "Victor G. Ganzha and Evgenii V. Vorozhtsov and
Christoph Zenger",
title = "{Sta\-bi\-li\-t{\"a}ts\-un\-ter\-such\-ung von
Differenzenverfahren mit Hilfe der Resultantenalgebra
unter Verwendung des Reduce-systems}",
number = "TUM-I9120",
institution = "Institute for Computer Science, Technical University
Munich",
address = "M{\"{u}}nchen, Germany",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Misc/IMMD_IV.bib; Misc/TUBScsd.bib",
annote = "es wird ein Verfahren f{\"u}r Automatische
Stabilit{\"a}tsanalyse von Differenzenschemata f{\"u}r
Partielle Differentialgleichungen.",
descriptor = "Differentialgleichung, Differenzenschema,
Stabilit{\"{a}}t",
}
@InProceedings{Gerdt:1991:LSC,
author = "V. P. Gerdt and N. V. Khutornoy and A. Yu. Zharkov",
title = "{Lie-Backlund} symmetries of coupled nonlinear
{Schrodinger} equations",
crossref = "Watt:1991:IPI",
pages = "313--314",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Applies computer-aided symmetry approach to an
investigation of an eight-parametric system of two
coupled nonlinear Schrodinger equations. Symmetry
approach allows one not only to verify the necessary
integrability conditions which follow from the
existence of a higher infinitesimal or Lie-Backlund
symmetry but often to find an explicit form of the
latter. The corresponding necessary conditions in the
form of existence of the series of the local
conservation laws lead to the system of nonlinear
algebraic equations in numeric parameters. As a result
of the first two necessary integrability conditions the
REDUCE program provided with some new additional
facilities, generates the three set of algebraic
equations.",
acknowledgement = ack-nhfb,
affiliation = "JINR, Moscow, USSR",
classification = "C4170 (Differential equations)",
keywords = "Lie-Backlund symmetry; Nonlinear Schrodinger
equations",
thesaurus = "Schrodinger equation; Symbol manipulation",
}
@TechReport{Gerdt:1991:RPS,
author = "V. P. Gerdt and P. Tiller",
title = "A {Reduce} Program for Symbolic Computation of
{Puiseux} Expansions",
type = "Preprint",
number = "E5-91-401",
institution = "Joint Institute for Nuclear Research",
address = "Dubna, Russia",
pages = "9",
year = "1991",
MRclass = "14Q99 (68Q40)",
MRnumber = "1148589 (92i:14052)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
note = "With a Russian summary.",
series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
Yadernykh Issledovani\u\i. Dubna} [Communications of
the Joint Institute for Nuclear Research. Dubna],
E5-91-401",
acknowledgement = ack-nhfb,
keywords = "Reduce computer-algebra system",
}
@InProceedings{GonzalezVega:1991:WRA,
author = "L. {Gonzalez Vega}",
title = "Working with real algebraic plane curves in {REDUCE}:
the {GCUR} package",
crossref = "Watt:1991:IPI",
pages = "397--402",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Presents an implementation in Reduce of a package to
get topological and geometric information about real
algebraic plane curves defined as the real zeros of
polynomials in $ Z(x, y) $. More precisely, if $P$ in $
Z(x, y) $ the output using the package GCUR will be a
plane graph homeomorphic to the set: $ C(P) = ((\alpha,
\beta) \in R^2 / P(\alpha, \beta) = 0)$.",
acknowledgement = ack-nhfb,
affiliation = "Dept. Mat., Cantabria Univ., Santander, Spain",
classification = "C4190 (Other numerical methods)",
keywords = "Algebraic plane curves; GCUR; Geometric information;
Plane graph; REDUCE; Topological information",
thesaurus = "Computational geometry; Poles and zeros; Polynomials;
Symbol manipulation; Topology",
}
@Article{Gragert:1991:GDG,
author = "P. K. H. Gragert and P. H. M. Kersten",
title = "Graded Differential Geometry in {REDUCE}:
Supersymmetry Structures of the Modified {KdV}
Equation",
journal = j-ACTA-APPL-MATH,
volume = "24",
number = "3",
pages = "211--232",
month = sep,
year = "1991",
CODEN = "AAMADV",
ISSN = "0167-8019",
ISSN-L = "0167-8019",
bibdate = "Mon Feb 12 15:34:00 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Applicandae Mathematicae",
}
@TechReport{Grozin:1991:REPa,
author = "A. G. Grozin",
title = "{REDUCE} in elementary particle physics. Radiative
corrections",
number = "INP 91-46",
institution = "Institute of Nuclear Physics",
address = "Novosibirsk, USSR",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@TechReport{Grozin:1991:REPb,
author = "A. G. Grozin",
title = "{REDUCE} in elementary particle physics. Weak
interactions",
number = "INP 91-56",
institution = "Institute of Nuclear Physics",
address = "Novosibirsk, USSR",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}
@Article{Hartley:1991:CIC,
author = "David Hartley and Robin W. Tucker",
title = "A constructive implementation of the
{Cartan--K{\"a}hler} theory of exterior differential
systems",
journal = j-J-SYMBOLIC-COMP,
volume = "12",
number = "6",
pages = "655--668 (or 655--667??)",
month = dec,
year = "1991",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "58A15 (58-04 68Q40)",
MRnumber = "92i:58005",
MRreviewer = "Kichoon Yang",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib; Theory/reduce.bib",
abstract = "An efficient algorithm for the construction of a
regular chain of involutive integral elements for a
general exterior differential system is presented. It
is based upon the existence theorems of the
Cartan--K{\"a}hler theory, and may be used to analyse
partial differential equations by formulating them as
exterior differential systems.",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C4170 (Differential equations)",
corpsource = "Sch. of Phys. and Mater., Lancaster Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algorithm; Cartan-; constructive implementation;
differential equations; exterior calculus EXCALC
REDUCE; exterior differential systems; involutive
integral elements; Kahler theory; mathematics
computing; partial; partial differential equations;
REDUCE implementation; regular chain; symbol
manipulation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Manual{Hearn:1991:RUM,
author = "A. C. Hearn",
title = "{REDUCE} User's Manual, Version 3.4",
organization = "The Rand Corporation",
address = "Santa Monica (CA)",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib",
}
@InProceedings{Hietarinta:1991:AFM,
author = "J. Hietarinta",
booktitle = "Proc. of the Workshop on Symbolic and Numeric
Computation",
title = "From an analytical formula to a movie by way of
{REDUCE} and {C}",
publisher = "Research Reports, Computing Centre of Helsinki
University",
pages = "117--126",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Ilyin:1991:PIF,
author = "V. A. Ilyin and A. P. Kryukov and A. Ya. Rodinov and
A. Yu. Taranov",
title = "{PC} implementation of fast {Dirac} matrix trace
calculations",
crossref = "Watt:1991:IPI",
pages = "456--457",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Presents an implementation of a fast algorithm for
Dirac matrix trace calculations. This implementation is
made for IBM compatible PC and works under REDUCE
3.3.1. Name of package is CVIT. The algorithm is based
on intense use of Fierz identities in N-dimensional
space ($N$ is arbitrary natural number or symbol) and
may be considered as an extension of well known Kahane
algorithm on higher space dimensions.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Nucl. Phys., Moscow State Univ., USSR",
classification = "C7320 (Physics and Chemistry)",
keywords = "CVIT; Dirac matrix trace calculations; Fierz
identities; IBM compatible PC; Kahane algorithm;
N-dimensional space; REDUCE 3.3.1",
thesaurus = "IBM computers; Matrix algebra; Physics computing;
Symbol manipulation",
}
@InProceedings{Ilyin:1991:SST,
author = "V. A. Ilyin and A. P. Kryukov",
title = "Symbolic simplification of tensor expressions using
symmetries, dummy indices and identities",
crossref = "Watt:1991:IPI",
pages = "224--228",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The algorithm based on simple geometrical ideas is
suggested for simplification of tensor expressions
which takes into account symmetries, dummy indices, and
linear identities with many terms. The results of the
realization in REDUCE system are adduced. The Riemann
tensor is used as an example.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Nucl. Phys., Moscow State Univ., USSR",
classification = "C1110 (Algebra); C1160 (Combinatorial mathematics);
C7310 (Mathematics)",
keywords = "Dummy indices; Geometrical ideas; Linear identities;
REDUCE; Simplification; Symbolic simplification;
Symmetries; Tensor expressions",
thesaurus = "Mathematics computing; Symbol manipulation",
}
@Article{Ioakimidis:1991:CEC,
author = "N. I. Ioakimidis",
title = "Construction of the equation of caustics in dynamic
plane elasticity problems with the help of {Reduce}",
journal = j-COMP-STRUCTURES,
volume = "41",
number = "2",
pages = "407--409",
month = "????",
year = "1991",
CODEN = "CMSTCJ",
ISSN = "0045-7949 (print), 1879-2243 (electronic)",
ISSN-L = "0045-7949",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classcodes = "A0340D (Mathematical theory of elasticity); A0270
(Computational techniques); A4630C (Elasticity); A4630N
(Fracture mechanics, fatigue, and cracks); C7320
(Physics and Chemistry); C7440 (Civil and mechanical
engineering); C7310 (Mathematics)",
classification = "421; 921; 931",
corpsource = "Div. of Appl. Math. and Mech., Patras Univ., Greece",
fjournal = "Computers and Structures",
journalabr = "Comput Struct",
keywords = "Analysis; complicated algebraic; computations;
computer algebra system; Computer Algebra System
Reduce; Computer Science; computing; crack; cracks;
dynamic plane elasticity; Dynamics--Analysis;
Elasticity; elasticity; Equation of Caustics; fracture
mechanics; fundamental equation of caustics; hole;
Mathematical Techniques--Numerical Methods;
mathematics; mechanical engineering computing; physics;
Plane Elasticity; REDUCE; symbol manipulation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Ioakimidis:1991:CSI,
author = "N. I. Ioakimidis",
title = "Construction of singular integral equations for
interacting straight cracks by using {Reduce}",
journal = j-ENG-FRACTURE-MECH,
volume = "40",
number = "6",
pages = "1179--1184",
month = "????",
year = "1991",
CODEN = "EFMEAH",
ISSN = "0013-7944",
ISSN-L = "0013-7944",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of Patras",
affiliationaddress = "Patras, Greece",
classcodes = "A4630N (Fracture mechanics, fatigue, and cracks);
A0230 (Function theory, analysis)",
classification = "421; 723; 921; 931",
corpsource = "Div. of Appl. Math. and Mech., Patras Univ., Greece",
fjournal = "Engineering fracture mechanics",
journalabr = "Eng Fract Mech",
keywords = "antiplane elasticity; Computer Aided Analysis;
Computer Software; Crack Interactions; Crack
Propagation; crack-edge stress field analysis; Fracture
Mechanics; integral equations; interacting straight
cracks; Mathematical Techniques--Integral Equations;
plane elasticity; REDUCE; Singular Integral Equations;
singular integral equations; Software Package Reduce",
treatment = "T Theoretical or Mathematical",
}
@TechReport{Keady:1991:GRM,
author = "G. Keady",
title = "{GENTRANs} from {REDUCE} and from {MACSYMA}",
number = "II/13",
institution = "University of Waikato Mathematics Department",
address = "Waikato, New Zealand",
month = sep,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib",
}
@InProceedings{Liska:1991:ADS,
author = "R. Liska and M. Yu. Shashkov",
title = "Algorithms for difference schemes construction on
non-orthogonal logically rectangular meshes",
crossref = "Watt:1991:IPI",
pages = "419--426",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Deals with the formalization of the basic operator
method for construction of difference schemes for the
numerical solving of partial differential equations.
The strength of the basic operator method lies in the
fact that it produces fully conservative difference
schemes. The difference mesh can be non-orthogonal but
has to be logically orthogonal. Algorithms for working
with grid functions and grid operators in symbolic form
which are necessary in the basic operator method are
described. The algorithms have been implemented in the
computer algebra system REDUCE.",
acknowledgement = ack-nhfb,
affiliation = "Fac. of Nucl. Sci. and Phys. Eng., Czech Tech. Univ.,
Prague, Czechoslovakia",
classification = "C4170 (Differential equations)",
keywords = "Basic operator method; Computer algebra; Difference
mesh; Difference schemes; Grid functions; Grid
operators; Logically orthogonal; Numerical solving;
Partial differential equations; Rectangular meshes;
REDUCE",
thesaurus = "Numerical methods; Partial differential equations;
Symbol manipulation",
}
@Book{McCallum:1991:ACR,
author = "M. McCallum and F. Wright",
title = "Algebraic Computation with {REDUCE}",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "????",
year = "1991",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Sat Jun 17 16:42:43 2000",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
xxnote = "Was this ever published? Cannot find it in Library of
Congress, OCLC WorldCat, or publisher's catalog.",
}
@Article{Pasini:1991:SCO,
author = "P. Pasini and F. Semeria and C. Zannoni",
title = "Symbolic Computation of Orientational Correlation
Function Moments",
journal = j-J-SYMBOLIC-COMP,
volume = "12",
number = "2",
pages = "221--231 (or 221--232??)",
month = aug,
year = "1991",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "Ai/LP.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C7320 (Physics and Chemistry)",
corpsource = "INFN, Bologna, Italy",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "analytic evaluation; biaxially; computer algebra;
moments; orientational correlation function; physics
computing; REDUCE; SCHOONSCHIP; series expansion;
statistical physics; symbol manipulation; symbolic
manipulation; symmetric particles; Taylor;
time-correlation functions; uniaxial fluid",
treatment = "P Practical",
}
@InProceedings{Renner:1991:NEE,
author = "F. Renner",
title = "Nonlinear evolution equations and the {Painlev{\'e}}
analysis: a constructive approach with {REDUCE}",
crossref = "Watt:1991:IPI",
pages = "289--294",
year = "1991",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "A number of necessary conditions for a class of
nonlinear partial differential equations to pass the
Painleve test with the Kruskal ansatz is given. Using
these one can (theoretically) construct all evolution
equations of certain form and this property with a
computer algebra package based on REDUCE.",
acknowledgement = ack-nhfb,
affiliation = "Kassel Univ., Germany",
classcodes = "C4170 (Differential equations)",
classification = "C4170 (Differential equations)",
corpsource = "Kassel Univ., Germany",
keywords = "computer algebra; Computer algebra package; equations;
evolution equations; Evolution equations; Kruskal
ansatz; nonlinear differential equations; nonlinear
partial differential equations; Nonlinear partial
differential equations; package; Painleve; Painleve
test; partial differential; REDUCE; symbol
manipulation; test",
sponsororg = "ACM",
thesaurus = "Nonlinear differential equations; Partial differential
equations; Symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Roelofs:1991:IMO,
author = "M. Roelofs and P. K. H. Gragert",
title = "Implementation of multilinear operators in {REDUCE}
and applications in mathematics",
crossref = "Watt:1991:IPI",
pages = "390--396",
year = "1991",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "In this paper we introduce and implement a concept for
dealing with mathematical bases of linear spaces and
mappings (multi)linear with respect to such bases, in
{REDUCE}. Using this concept we give some examples how
to implement some well known (multi)linear mappings in
mathematics with very little effort. Moreover we
implement a procedure operatorcoeff similar to the
standard {REDUCE} procedure coeff, but now for linear
spaces instead of polynomial rings.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math., Twente Univ., Enschede,
Netherlands",
classcodes = "C4140 (Linear algebra); C7310 (Mathematics)",
classification = "C4140 (Linear algebra); C7310 (Mathematics)",
corpsource = "Dept. of Appl. Math., Twente Univ., Enschede,
Netherlands",
keywords = "linear algebra; linear spaces; Linear spaces;
mappings; Mappings; multilinear operators; Multilinear
operators; REDUCE; symbol manipulation",
sponsororg = "ACM",
thesaurus = "Linear algebra; Symbol manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Roque:1991:CAS,
author = "Waldir L. Roque and Renato P. {dos Santos}",
title = "Computer Algebra in Spacetime Embedding",
journal = j-J-SYMBOLIC-COMP,
volume = "12",
number = "3",
pages = "381--389",
month = sep,
year = "1991",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "83-04 (53-04 68Q40)",
MRnumber = "92g:83002",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "In this paper we describe an algorithm to determine
the vectors normal to a space-time $ {V}_4 $ embedded
in a pseudo-Euclidean manifold $ {M}_{4 + N} $. An
application of this algorithm is given considering the
Schwarzschild spacetime geometry embedded in a 6
dimensional pseudo-Euclidean manifold, using the
algebraic computing system REDUCE.",
acknowledgement = ack-nhfb,
classcodes = "A0420J (Solutions to equations); A0240 (Geometry,
differential geometry, and topology); A0260 (Numerical
approximation and analysis); A9530S (Relativity and
gravitation); C7320 (Physics and Chemistry); C6130
(Data handling techniques)",
corpsource = "Dept. de Matematica, Brasilia Univ., Brazil",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebraic; computing system; general relativity;
geometry; manifold; manipulation; physics computing;
pseudo-Euclidean; REDUCE; Schwarzschild metric;
Schwarzschild spacetime geometry; space-time
configurations; spacetime embedding; symbol",
treatment = "P Practical",
xxauthor = "W. L. Roque and R. P. Dos Santos",
}
@InProceedings{Rudenko:1991:ACA,
author = "V. M. Rudenko and V. V. Leonov and A. F. Bragazin and
I. P. Shmyglevsky",
title = "Application of computer algebra to the investigation
of the orbital satellite motion",
crossref = "Watt:1991:IPI",
pages = "450--451",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Presents the features of a program package
`Polymech-symbol' helping to solve some laborious
mechanical problems. The package was written by means
of the REDUCE system and contains several algorithms in
a form of REDUCE procedures. The authors consider the
problems of navigation and center of mass motion on
board a satellite.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Problems of Mech., Acad. of Sci., Moscow,
USSR",
classification = "C7460 (Aerospace engineering)",
keywords = "Center of mass motion; Computer algebra; Navigation;
Orbital satellite motion; Polymech-symbol; REDUCE
system",
thesaurus = "Aerospace computing; Artificial satellites; Symbol
manipulation",
}
@InProceedings{Schlegel:1991:DRS,
author = "H. Schlegel",
title = "Determination of the root system of semisimple {Lie}
algebras from the {Dynkin} diagram",
crossref = "Watt:1991:IPI",
pages = "239--240",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "One way to represent the properties of the Lie algebra
for calculations is by means of the commutation
relations, i.e. the structure constants. The paper
shows a way of the calculation of the Cartan-Weyl basis
for all simple Lie algebras starting from the Dynkin
diagram. The package DYNKIN written in REDUCE
implements the described relations and can as an
application be used to perform the calculations for a
specified Lie algebra.",
acknowledgement = ack-nhfb,
affiliation = "Zentralinstitut fur Elektronenphys., Berlin, Germany",
classification = "C1110 (Algebra); C7310 (Mathematics)",
keywords = "Cartan-Weyl basis; Commutation relations; Dynkin
diagram; Root system; Semisimple Lie algebras; Simple
Lie algebras; Structure constants",
thesaurus = "Algebra; Diagrams; Mathematics computing",
}
@Article{Seiler:1991:SRP,
author = "Werner M. Seiler",
title = "{SUPER\-CALC} --- a {REDUCE} package for commutator
calculations",
journal = j-COMP-PHYS-COMM,
volume = "66",
number = "2-3",
pages = "363--376",
month = sep # "\slash " # oct,
year = "1991",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ Karlsruhe",
affiliationaddress = "Karlsruhe, Ger",
classification = "723; 931; 932",
comment = "A {REDUCE} package for commutator calculations in
sypersymmetric theories (including ordered products)
and for infinite sums is presented and an application
to the computation of anomalies in string theory is
given.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Applications; Commutator Calculations; Computer Aided
Analysis; Computer Software; Physics--High Energy;
Software Package supercalc; String Theory",
}
@InProceedings{Surguladze:1991:APC,
author = "L. R. Surguladze and M. A. Samuel",
title = "Algebraic perturbative calculations in high energy
physics. {Methods}, algorithms, computer programs and
physical applications",
crossref = "Watt:1991:IPI",
pages = "439--447",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The methods and algorithms for high order algebraic
perturbative calculations in theoretical high energy
physics are briefly reviewed. The SCHOONSCHIP program
MINCER and the REDUCE program LOOPS for analytical
computation of arbitrary massless, one-, two- and
three-loop Feynman diagrams of the propagator type are
described. The version of the program LOOPS for
personal computers and the extended version of the
program MINCER for four-loop renormalization group
calculations are presented. The new program for
algebraic perturbative calculations is also discussed.
This program is written on the new algebraic
programming system FORM. Some recent results of
application to the high energy physics are given.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Nucl. Res., Acad. of Sci., Moscow, USSR",
classification = "A0270 (Computational techniques); A1110G
(Renormalization); C7320 (Physics and Chemistry)",
keywords = "Algebraic perturbative calculations; Feynman diagrams;
High energy physics; LOOPS; MINCER; REDUCE; SCHOONSCHIP
program",
thesaurus = "Feynman diagrams; Physics computing; Renormalisation;
Symbol manipulation",
}
@InProceedings{Trenkov:1991:ARS,
author = "I. Trenkov and M. Spiridonova and M. Daskalova",
title = "An application of the {REDUCE} system for solving a
mathematical geodesy problem",
crossref = "Watt:1991:IPI",
pages = "448--449",
year = "1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "A REDUCE program package for solving some mathematical
geodesy problems now under development includes
capabilities for solving the problem: the geographical
coordinates (the geographical density $ B_p $ and the
geographical longitude $ L_p $ ) of a point $P$ on the
earthly ellipsoid are to be calculated when $n$
different points $ C_i(i = 1, 2, \ldots {}, n) $ with
their geographical coordinates $ B_i $ and $ L_i $ are
given and the azimuths $ A_{ip} $ in all points $ C_i $
to the point $P$ are measured.",
acknowledgement = ack-nhfb,
affiliation = "Central Lab. for Geodesy, Bulgarian Acad. of Sci.,
Sofia, Bulgaria",
classification = "A9110B (Mathematical geodesy: general theory); C7310
(Mathematics); C7340 (Geophysics)",
keywords = "Geographical coordinates; Mathematical geodesy;
Program package; REDUCE system",
thesaurus = "Computational geometry; Geodesy; Geophysics computing;
Symbol manipulation",
}
@InProceedings{Urintsev:1991:CRA,
author = "A. L. Urintsev and A. V. Samoilov",
editor = "D. V. Shirkov and V. A. Rostovtsev and V. P. Gerdt",
booktitle = "In: 4th International Conference on Computer Algebra
in Physical Research",
title = "Complex Reduce-programs for analytic solution of some
problems of beam transport systems",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "438--442",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Vega:1991:WRA,
author = "Laureano Gonz{\'a}lez Vega",
editor = "Stephen M. Watt",
booktitle = "Proc. of the 1991 International Symposium on Symbolic
and Algebraic Computation",
title = "Working with Real Algebraic Plane Curves in {REDUCE}:
the {GCUR} package",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "397--402",
month = jul,
year = "1991",
bibdate = "Sat Oct 24 12:47:49 1998",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@Article{Yamartino:1991:ACA,
author = "Robert J. Yamartino and Richard Pavelle",
title = "An Application of Computer Algebra to a Problem in
Stratified Fluid Flow",
journal = j-J-SYMBOLIC-COMP,
volume = "12",
number = "6",
pages = "669--672",
month = dec,
year = "1991",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "76-04 (68Q40 76V05)",
MRnumber = "1 141 546",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "The computationally tedious problem of considering
trial Green's function solutions to the fourth-order
partial differential equation for a stratified
atmosphere flowing over a hill is approached using
MACSYMA. Significance of the problem, solution
methodologies and CPU time intercomparisons using
various computer platforms and other algebra systems
are discussed.",
acknowledgement = ack-nhfb,
affiliation = "Sigma Res. Corp., Westford, MA, USA",
classcodes = "A4755H (Stratified flows); C7310 (Mathematics); C4170
(Differential equations)",
classification = "A4755H (Stratified flows); C4170 (Differential
equations); C7310 (Mathematics)",
corpsource = "Sigma Res. Corp., Westford, MA, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "computationally; Computationally tedious problem;
Computer algebra; computer algebra; CPU time
intercomparisons; fourth-; Fourth-order partial
differential equation; MACSYMA; mathematics computing;
order partial differential equation; partial
differential equations; Stratified atmosphere;
stratified atmosphere; stratified flow; Stratified
fluid flow; stratified fluid flow; symbol manipulation;
tedious problem; Trial Green's function solutions;
trial Green's function solutions",
thesaurus = "Mathematics computing; Partial differential equations;
Stratified flow; Symbol manipulation",
treatment = "A Application; P Practical",
}
@Article{Barbier:1992:AGB,
author = "Christine Barbier",
title = "Automatic generation of bending element matrices for
finite element method using {REDUCE}",
journal = j-ENG-COMP,
volume = "9",
number = "4",
pages = "477--494",
month = aug,
year = "1992",
CODEN = "ENCOEN",
ISSN = "0264-4401",
ISSN-L = "0264-4401",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7440 (Civil and mechanical engineering); C4185
(Finite element analysis); C7310 (Mathematics)",
corpsource = "Durham Univ., UK",
fjournal = "Engineering Computations",
keywords = "bending element matrices; computer algebra; finite
element analysis; finite element method; geometric
stiffness; REDUCE; stiffness matrices; structural
engineering computing; symbol manipulation; system",
treatment = "T Theoretical or Mathematical",
}
@Article{Barbier:1992:AGM,
author = "Christine Barbier and Peter Bettess and Jacqueline A.
Bettess",
title = "Automatic Generation of Mapping Functions for Infinite
Elements Using {REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "14",
number = "5",
pages = "523--534",
month = nov,
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "65-04 (65N30)",
MRnumber = "1 197 718",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "Co continuous basis functions for use in the finite
element method when the elements extend to infinity in
one or more directions can be derived simply following
the method of Zienkiewicz. The numerical code for these
functions can be generated automatically using computer
algebra languages such as {REDUCE}. This paper
describes the method and explains how {REDUCE} is used
to easily produce numerical code.",
acknowledgement = ack-nhfb,
classcodes = "C4185 (Finite element analysis); C7310 (Mathematics)",
corpsource = "Dept. of Marine Technol., Newcastle upon Tyne Univ.,
UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "$C_0$; code; computer algebra languages; continuous
basis functions; finite element analysis; finite
element method; infinite elements; mapping functions;
mathematics computing; numerical; REDUCE",
treatment = "T Theoretical or Mathematical",
}
@Article{Bilge:1992:RPI,
author = "Ay{\c{s}}e H{\"u}meyra Bilge",
title = "A {REDUCE} program for the integration of differential
polynomials",
journal = j-COMP-PHYS-COMM,
volume = "71",
number = "3",
pages = "263--268",
month = sep,
year = "1992",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "A differential polynomial F[u] is a polynomial
expression of the derivatives of the function u(x). A
{REDUCE} program for the integration of differential
polynomials is given. The program is tested on the
computation of the conserved densities of polynomial
evolution equations. Input and output from the test
runs are included in the library files.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Bocko:1992:ERB,
author = "J. Bocko",
title = "{EQSHELL} --- a {REDUCE}-based program for generation
of equations of equilibrium for shells",
journal = j-COMP-PHYS-COMM,
volume = "69",
number = "1",
pages = "215--222",
month = feb,
year = "1992",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 15 13:25:49 MST 1997",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
affiliation = "Slovak Acad of Sciences",
affiliationaddress = "Kosice, Czechoslovakia",
classification = "723; 921; 931",
comment = "EQSHELL is a REDUCE-based program which generates the
equations of equilibrium for various shapes of shells.
This program also produces other important
characteristics of the shell.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
journalabr = "Comput Phys Commun",
keywords = "Atomic; Band Structure --- Calculations; Computer
Program eqshell; Computer Programs --- Applications;
Elasticity --- Calculations; Electrons --- Computer
Aided Analysis; Equations Of Equilibrium; Physics",
}
@Article{Dereli:1992:SSA,
author = "T. Dereli and G. {\"U}{\c{c}}oluk",
title = "A Study of Stationary, Axially Symmetric Space-time
Geometries Satisfying Modified Double Duality Equations
Using the Exterior Calculus Package $ {X}^{T R} $ for
{REDUCE}",
journal = j-J-COMPUT-PHYS,
volume = "99",
number = "1",
pages = "169--175",
month = mar,
year = "1992",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(92)90284-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:54 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999192902846",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Derili:1992:SSA,
author = "T. Derili and G. {\"U}{\c{c}}oluk",
title = "A study of stationary, axially symmetric space-time
geometries satisfying modified double duality equations
using the exterior calculus package {$ X^T R $} for
{Reduce}",
journal = j-J-COMPUT-PHYS,
volume = "98",
number = "2",
pages = "349--349",
month = feb,
year = "1992",
CODEN = "JCTPAH",
DOI = "http://dx.doi.org/10.1016/0021-9991(92)90163-S",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:53 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.sciencedirect.com/science/article/pii/002199919290163S",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
remark = "Abstract only. Full paper in \cite{Dereli:1992:SSA},
but note the change in spelling of the first author's
family name.",
}
@InProceedings{Ganzha:1992:RBC,
author = "V. G. Ganzha and E. V. Vorozhtsov",
title = "Resultant based code generation for the stability
analysis of difference schemes with the aid of the
{REDUCE} system",
crossref = "Houstis:1992:AIE",
pages = "185--192",
year = "1992",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A4710 (General theory, simulation and other
computational methods); A0340G (Fluid dynamics: general
mathematical aspects); C7310 (Mathematics); C7320
(Physics and Chemistry); C4170 (Differential
equations)",
conflocation = "Dublin, Ireland; 22--26 July 1991",
corpsource = "Inst. of Theor. and Appl. Mech., Acad. of Sci.,
Novosibirsk, Russia",
keywords = "computer; computer algebra system; difference
equations; difference schemes; differential equations;
fluid dynamics; FORTRAN function; linear partial;
mathematics computing; partial differential equations;
physics computing; REDUCE system; resultant based code
generation; stability; stability analysis; symbol
manipulation; symbolic calculations",
treatment = "A Application; P Practical",
}
@Article{Hollenhorst:1992:DDF,
author = "Manfred Hollenhorst",
title = "The Design of Digital Filters Using {REDUCE}",
journal = j-SIGSAM,
volume = "26",
number = "1",
pages = "10--12",
month = jan,
year = "1992",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:01 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C5240 (Digital filters); C5260 (Digital signal
processing); C7410F (Communications)",
corpsource = "Hochschulrechenzentrum der Justus-Liebig-Univ.,
Giessen, Germany",
fjournal = "SIGSAM Bulletin",
issue = "99",
keywords = "analog filter; bilinear transform; computerised signal
processing; digital filters; manipulation; REDUCE;
symbol",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Keady:1992:FSP,
author = "G. Keady",
title = "{Fortran} subroutines produced from computer algebra
systems: using {GENTRANS} from {REDUCE} and from
{MACSYMA}",
crossref = "Noye:1992:CTA",
pages = "265--272",
year = "1992",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Krasilshchik:1992:DRO,
author = "I. S. Krasil{\cprime}shchik and P. H. M. Kersten",
title = "Deformations and recursion operators for evolution
equations",
type = "Memorandum",
number = "1104",
institution = "University of Twente",
address = "Enschede, The Netherlands",
year = "1992",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Melfo:1992:CCV,
author = "A. Melfo and L. A. N{\'u}{\~n}ez",
title = "Checking Collineation Vectors with {REDUCE}",
journal = j-GEN-RELATIVITY-GRAV,
volume = "24",
number = "11",
pages = "1125--1129",
year = "1992",
CODEN = "GRGVA8",
ISSN = "0001-7701 (print), 1572-9532 (electronic)",
ISSN-L = "0001-7701",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
note = "A package of programs for writing and checking the
solutions to the equations for various types of
collineations (symmetries of the metric, Christoffel,
Riemann and Ricci tensors) is presented. Some examples
of previously found collineations that have been
checked are given, and new results reported.",
fjournal = "General Relativity and Gravitation",
}
@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 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40",
MRnumber = "1 153 634",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
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",
}
@InCollection{Nucci:1992:IRP,
author = "M. C. Nucci",
editor = "William F. Ames and P. J. (Pieter Jacobus) {Van der
Houwen}",
booktitle = "Computational and applied mathematics, II:
differential equations: selected and revised papers
from the IMACS World Congress, Dublin, Ireland, July
1991",
title = "Interactive {REDUCE} Programs for Calculating
Classical, Non-Classical and Approximate Symmetries of
Differential Equations",
publisher = "North-Holland",
address = "London, UK",
pages = "345--350",
year = "1992",
ISBN = "0-444-89702-X",
ISBN-13 = "978-0-444-89702-2",
LCCN = "QA370.C625 1991",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Renner:1992:CRP,
author = "Friedrich Renner",
title = "A constructive {REDUCE} package based upon the
{Painlev{\'e}} analysis of nonlinear evolutions
equations in {Hamiltonian} and/or normal form",
journal = j-COMP-PHYS-COMM,
volume = "70",
number = "2",
pages = "409--416",
month = jun,
year = "1992",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
abstract = "A number of necessary conditions for scalar nonlinear
evolution equations of normal or certain Hamiltonian
form to pass the {Painlev{\'e}} test in one (or two)
branches with the Kruskal ansatz is used to write a
{REDUCE} package able to construct (theoretically) all
equations with this property. Starting with a given
leading order, a degree of homogeneity and (in the
Hamiltonian case) a skew-adjoint differential operator,
the system generates al admissible resonance patterns,
adapts (if possible) the free parameters of the
equation according to the chosen pattern and the
constraints of the compatibility conditions. In the
{Painlev{\'e}} case, the general inhomogeneous equation
is generated and also examined. For help and further
investigations a set of utility procedures is
supplied.",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Richardson:1992:CTB,
author = "Daniel Richardson",
title = "Computing the Topology of a Bounded Non-Algebraic
Curve in the Plane",
journal = j-J-SYMBOLIC-COMP,
volume = "14",
number = "6",
pages = "619--644 (or 619--643??)",
month = dec,
year = "1992",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40 (03D45)",
MRnumber = "94e:68092",
MRreviewer = "Joos Heintz",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4260 (Computational geometry); C4220 (Automata
theory)",
corpsource = "Dept. of Math., Bath Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "analytic functions; bounded coordinate aligned
rectangle; bounded nonalgebraic curve; computational
geometry; constant problem; cylindrical decomposition;
definable constants; derivatives; false; first order
algebraic differential equations; local Sturm
sequences; oracle; polynomials; real plane; topology;
Turing machines; Turing reduced; zero set",
treatment = "T Theoretical or Mathematical",
}
@Article{Sarlet:1992:RPS,
author = "W. Sarlet and J. {Vanden Bonne}",
title = "{REDUCE}-Procedures for the Study of Adjoint
Symmetries of Second-Order Differential Equations",
journal = j-J-SYMBOLIC-COMP,
volume = "13",
number = "6",
pages = "683--693",
month = jun,
year = "1992",
CODEN = "JSYCEH",
DOI = "http://dx.doi.org/10.1016/S0747-7171(10)80017-3",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "34A26 (34-04 58F35)",
MRnumber = "1177715 (93h:34014)",
MRreviewer = "L. M. Berkovich",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "Ai/LP.bib;
http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/cathode.bib; Theory/reduce.bib",
abstract = "Two {REDUCE} programs are presented which should be of
assistance in computing and studying so-called adjoint
symmetries of second-order ordinary differential
equations. The first program essentially serves to
construct the determining equations for adjoint
symmetries, whose leading coefficients are allowed to
be polynomial functions of the velocities. The second
program runs various tests concerning the possible
construction of a first integral or a Lagrangian for
the given system.",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C4130 (Interpolation and function
approximation); C4170 (Differential equations)",
corpsource = "Inst. voor Theor. Mech., Gent Univ., Belgium",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "adjoint symmetries; differential equations; integral;
Lagrangian; mathematics computing; polynomial
functions; polynomials; Reduce computer-algebra system;
REDUCE ODEs first integrals; REDUCE-procedures;
second-order",
treatment = "P Practical; T Theoretical or Mathematical",
}
@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",
CODEN = "PCMGEP",
ISSN = "0888-8507",
ISSN-L = "0888-8507",
bibdate = "Sun Feb 4 17:20:38 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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,
fjournal = "PC Magazine",
}
@Book{Steeb:1992:ACR,
author = "Willi-Hans Steeb and Dirk Lewien",
title = "Algorithms and computation with {REDUCE}",
publisher = pub-BIBLIO-INST,
address = pub-BIBLIO-INST:adr,
pages = "viii + 158",
year = "1992",
ISBN = "3-411-15651-1",
ISBN-13 = "978-3-411-15651-1",
LCCN = "QA76.9.A43 S74 1992",
MRclass = "65-04 (68W30 12Y05 13P99 15A99 16Z05 17-08)",
MRnumber = "1203779 (93j:65002)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
ZMnumber = "0758.68039",
abstract = "This book gives a collection of 75 standard methods in
mathematics, physics and engineering together with
their programs in {REDUCE} 3.4. Each item consists of a
one page mathematical description and one page {REDUCE}
algebraic source text (in most cases a few lines only).
The book is an introduction by example to algebraic
programming in {REDUCE} and a collection of ready to
use solutions for many mathematical subtasks",
acknowledgement = ack-nhfb,
keywords = "Reduce computer-algebra system",
}
@Book{Ueberberg:1992:ECR,
author = "Johannes Ueberberg",
title = "{Einf{\"u}hrung in die Computeralgebra mit REDUCE}.
({German}) [{Introduction} to computer algebra with
{REDUCE}]",
publisher = pub-BIBLIO-INST,
address = pub-BIBLIO-INST:adr,
pages = "336",
year = "1992",
ISBN = "3-411-15781-X",
ISBN-13 = "978-3-411-15781-5",
MRclass = "68Q40 (00A05 01A99 68-01 68-03)",
MRnumber = "1203780 (93j:68091)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "F{\"u}r Mathematiker, Informatiker und Physiker. [For
mathematicians, information scientists and
physicists]",
URL = "http://www.zentralblatt-math.org/zmath/en/search/?an=0783.68005",
ZMnumber = "0783.68005",
acknowledgement = ack-nhfb,
keywords = "Reduce computer-algebra system",
language = "German",
}
@Article{Bennett:1993:CAT,
author = "J. P. Bennett and M. Grinfeld and J. Hubble",
title = "Computer Algebra Techniques in Affinity Binding
Equations: the Dimer Case",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "1",
pages = "79--84 (or 79--83??)",
month = jan,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "A3620C (Conformation (statistics and dynamics));
A8715H (Molecular dynamics, molecular probes, molecular
pattern recognition); A8715K (Molecular interactions,
charge transfer complexes); C7320 (Physics and
Chemistry)",
comment = "In this note we apply computer algebra techniques to
affinity binding equations. We treat the situation in
which the protein is dimeric and shows cooperative
binding. Special attention is paid to the case where
more than one molecule of the immobilized ligand can be
bound by the macromolecule.",
corpsource = "Sch. of Math. Sci., Bath Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "affinity binding; affinity chromatography; biophysics;
chemistry computing; computer algebra; cooperative
binding; dimer case; equations; immobilized ligand;
macromolecular dynamics; macromolecule; molecular;
physics computing; protein; proteins; symbol
manipulation",
treatment = "P Practical",
}
@Article{Berkovich:1993:ASS,
author = "L. M. Berkovich and F. L. Berkovich",
title = "Algorithm for solving second order linear ordinary
differential equations and its implementation in
{REDUCE}",
journal = "S{\=u}rikaisekikenky{\=u}sho K\=oky{\=u}roku",
volume = "848",
pages = "100--108",
year = "1993",
MRclass = "34A05 (34-04)",
MRnumber = "1311276 (95i:34001)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Theory and applications in computer algebra (Japanese)
(Kyoto, 1992)",
acknowledgement = ack-nhfb,
fjournal = "S{\=u}rikaisekikenky{\=u}sho K\=oky{\=u}roku",
keywords = "Reduce computer-algebra system",
language = "Japanese",
}
@InProceedings{Blum:1993:IOC,
author = "W. Blum and V. Ganzha and W. Strampp",
editor = "G. Jacob and N. E. Oussous and S. Steinberg",
booktitle = "Proceedings of the 1993 International IMACS Symposium
on Symbolic Computation",
title = "An Introduction to {ODE}'s by {CAS}",
organization = pub-IMACS,
publisher = "Laboratoire d'Informatique Fondamentale de Lille,
France",
address = pub-IMACS:adr,
pages = "110--119",
year = "1993",
bibdate = "Fri Aug 12 01:12:46 1994",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
comment = "Use of {REDUCE} and MATHEMATICA for math education.",
}
@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 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40 (65M60)",
MRnumber = "94k:68094",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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)",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
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",
}
@InProceedings{Brunswick:1993:LAR,
author = "B. D. Brunswick",
title = "{LILK}: static analysis of {REDUCE} code",
crossref = "Fitch:1993:DIS",
pages = "35--43",
year = "1993",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C6150G (Diagnostic, testing,
debugging and evaluating systems); C6170 (Expert
systems)",
keywords = "algebra system REDUCE; compile time type checking
systems; computer; inference mechanisms; inferencing
techniques; information; manipulation; program bugs;
program debugging; symbol; system monitoring; type",
treatment = "P Practical",
}
@InProceedings{Edneral:1993:CGN,
author = "V. F. Edneral",
title = "Computer Generation of Normalizing Transformation for
Systems of Nonlinear {ODE}",
crossref = "Bronstein:1993:IPI",
pages = "14--19",
year = "1993",
bibdate = "Thu Sep 26 05:45:15 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The article describes the Standard LISP program for
building a normal form and a corresponding normalizing
transformation of a system of ordinary differential
equations (ODE) in A. D. Bruno's notation (1972) up to
the specified order. This program also includes a
complete set of procedures of arithmetic for the
truncated power series and input/output services. This
gives us an opportunity to continue a treatment of
obtained results autonomically or in a REDUCE
environment. The program can work in a rational
arithmetic or in an approximate rational arithmetic, or
in a floating point arithmetic. The program usage is
illustrated by treating systems of weakly nonlinear
ODEs in the language of the truncated series. The
approximate solution is produced from the normal form
calculated up to enough high order and from the
corresponding normalizing transformation. This method
demonstrates rather good agreement with numerical
solutions of some well known equations.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Nucl. Phys., Moscow Univ., Russia",
classification = "C4170 (Differential equations); C6110 (Systems
analysis and programming); C6130 (Data handling
techniques); C7310 (Mathematics computing)",
keywords = "ACM; algebraic computation; Approximate rational
arithmetic; Computer generation; Floating point
arithmetic; Input/output services; Nonlinear ODE
systems; Normal form; Normalizing transformation;
Ordinary differential equations; REDUCE environment;
SIGSAM; Standard LISP program; symbolic computation;
Truncated power series; Truncated series, ISSAC; Weakly
nonlinear ODEs",
searchkey = "cn:issac",
thesaurus = "Difference equations; LISP; Programming; Series
[mathematics]; Symbol manipulation",
}
@InProceedings{Fitch:1993:RMC,
author = "J. P. Fitch",
title = "{REDUCE} meets {CAMAL}",
crossref = "Fitch:1993:DIS",
pages = "104--15",
year = "1993",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics); C6130 (Data handling
techniques)",
corpsource = "Sch. of Math. Sci., Bath Univ., UK",
keywords = "CAMAL; celestial mechanics; computer algebra; general
purpose; lunar disturbing function; module; prototype
Fourier; series (mathematics); special purpose
algebraic systems; symbol manipulation; system REDUCE",
treatment = "P Practical",
}
@Article{Ganzha:1993:ARS,
author = "V. G. Ganzha and S. V. Meleshko and V. P. Shapeev",
title = "Application of the {REDUCE} system to the analysis of
the consistency of systems of differential equations",
journal = "Model. Mekh.",
volume = "7",
number = "4",
pages = "26--35 (1994)",
year = "1993",
ISSN = "0235-2923",
MRclass = "35A30 (35-04 35Q72)",
MRnumber = "1783122 (2001f:35025)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Sibirskoe Otdelenie.
Vychislitel\cprime ny\u\i\ Tsentr. Institut
Teoretichesko\u\i\ i Prikladno\u\i\ Mekhaniki.
Modelirovanie v Mekhanike",
keywords = "Reduce computer-algebra system",
}
@Article{Grabe:1993:LP,
author = "Hans-Gert Gr{\"a}be",
title = "On Lucky Primes",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "2",
pages = "199--210 (or 199--209??)",
month = feb,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "13P10 (68Q40)",
MRnumber = "94e:13052",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory); C4140
(Linear algebra); C4130 (Interpolation and function
approximation)",
comment = "Winkler (1988) and Pauer (1992) present algorithms for
a Hensel lifting of a modular Gr{\"o}bner basis over
lucky primes to a rational one. They have to solve a
linear system with modular polynomial entries that
requires another (modular) Gr{\"o}ner basis
computation. After an extension of luckiness to
arbitrary (commutative noetherian) base rings we show
in this paper that for a homogeneous polynomial ideal I
one lift not only its Gr{\"o}bner basis but also a
homogeneous basis of its syzygy module. The same result
holds for arbitrary ideals and liftings from Z/p to Q.
Moreover the same lifting can be obtained from a true
Gro{\"o}bner trace by linear algebra over Q only.
Parallel modular techniques allow to find such a true
Gro{\"o}bner and a lucky prime with high probability.
All these results generalize in an obvious way to
homogeneous modules generated by the rows of matrices
with polynomial entries. Since luckiness can be
weakened to a condition that transfers from I to higher
syzygy modules the lifting theorem generalizes to a
lifting theorem for the resolution of I.",
corpsource = "Inst. fur Inf., Leipzig Univ., Germany",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "computational complexity; linear algebra; polynomials;
parallel modular techniques; lucky primes; Hensel
lifting; modular Gr{\"o}bner basis; modular polynomial
entries; homogeneous polynomial ideal; homogeneous
basis; syzygy; module; linear algebra; high
probability",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Kadlecsik:1993:TMP,
author = "J. Kadlecsik",
title = "Tensor Manipulation Package in {REDUCE}",
crossref = "DeGroot:1993:PCP",
pages = "362--363",
year = "1993",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Keady:1993:AIS,
author = "G. Keady and M. G. Richardson",
title = "An application of {IRENA} to systems of nonlinear
equations arising in equilibrium flows in networks",
crossref = "Bronstein:1993:IPI",
pages = "311--320",
year = "1993",
bibdate = "Thu Sep 26 05:34:21 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "IRENA-an Interface from REDUCE to NAG - runs under the
REDUCE Computer Algebra (CA) system and provides an
interactive front end to the NAG Fortran Library. Here
IRENA is tested on a problem closer to an engineering
problem than previously published examples. We also
illustrate the use of the codeonly switch, which is
relevant to larger scale problems. We describe progress
on an issue raised in the `Future Developments' section
in our SIGSAM Bulletin article by K. A. Broughan et al.
(1991): the progress improves the practical
effectiveness of IRENA.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Western Australia Univ., Nedlands, WA,
Australia",
classification = "C4150 (Nonlinear and functional equations); C6130
(Data handling techniques); C7310 (Mathematics
computing)",
keywords = "ACM; algebraic computation; Codeonly switch;
Equilibrium flows; Interactive front end; Interface
from REDUCE to NAG; ISSAC; NAG Fortran Library; REDUCE
Computer Algebra; SIGSAM, IRENA; symbolic computation;
Systems of nonlinear equations",
searchkey = "cn:issac",
thesaurus = "Mathematics computing; Nonlinear equations; Symbol
manipulation",
}
@TechReport{Kersten:1993:GFN,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
title = "Graded {Fr{\"o}licher--Nijenhuis} brackets and the
theory of recursion operators for super differential
equations",
type = "Memorandum",
number = "1147",
institution = "Twente University",
address = "Enschede, The Netherlands",
pages = "56",
year = "1993",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@InProceedings{Klimov:1993:SEN,
author = "D. M. Klimov and V. M. Rudenko and V. V. Leonov",
title = "Symbolic Evaluation in the Nonlinear Mechanical
Systems",
crossref = "Bronstein:1993:IPI",
pages = "53--54",
year = "1993",
bibdate = "Thu Sep 26 05:45:15 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The paper presents the features of a program package,
Polymech-symbol, helping to solve some laborious
mechanical problems. The package was written by means
of the REDUCE system and contains several algorithms in
a form of REDUCE procedures. The computer algebra
methods may be successfully used for solving the
problems of navigation and defining the trajectory of
satellite mass centre motion. The preliminary
analytical research provides the effective algorithm
for on-board solving the problem of prediction. To
assure necessary accuracy, we need to construct several
higher approximations. Such sophisticated problems can
be solved only with the help of symbolic computations
that deal with the processing of cumbersome analytical
expressions. For effective analytical investigation of
such kinds of problems, the choice of parameters which
describe the perturbed orbital motion is critical. In
addition to the natural requirements of the calculation
process efficiency and the absence of singularities in
equations of motion, it is useful to have a unified
mathematical description for the angular motion and for
the motion of the mass centre.",
acknowledgement = ack-nhfb,
affiliation = "Inst. for Problems of Mech., Acad. of Sci., Moscow,
Russia",
classification = "C7310 (Mathematics computing); C7320 (Physics and
chemistry computing)",
keywords = "ACM; algebraic computation; Analytical expressions;
Angular motion; Calculation process efficiency;
Computer algebra methods; Higher approximations; Mass
centre motion, ISSAC; Mechanical problems; Nonlinear
mechanical systems; Perturbed orbital motion;
Polymech-symbol; Prediction; Program package; REDUCE
procedures; REDUCE system; Satellite mass centre
motion; SIGSAM; symbolic computation; Symbolic
computations; Symbolic evaluation; Trajectory; Unified
mathematical description",
searchkey = "cn:issac",
thesaurus = "Mechanics; Physics computing; Symbol manipulation",
}
@Article{Klimov:1993:SMG,
author = "D. M. Klimov and V. V. Leonov and V. M. Rudenko",
title = "The study of motion for a gyroscope with gimbal
suspension: obtaining the highest approximations for a
drift of {Magnus}",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "1",
pages = "73--78",
month = jan,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Wed Mar 19 13:51:24 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C7320 (Physics and Chemistry)",
comment = "Here we give a solution to the classic problem of the
applied mechanics of the gyroscope. The problem is
reduced to using the computer algebra system {REDUCE}.
We show that symbolic computation is very convenient
for applied mechanics.",
corpsource = "Inst. for Problems in Mech., Russian Acad. of Sci.,
Moscow, Russia",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra system; applied mechanics; approximations;
computer; drift of Magnus; gimbal suspension;
gyroscope; highest; motion study; physics computing;
REDUCE; symbol manipulation; symbolic computation",
treatment = "P Practical",
}
@Article{Man:1993:CCF,
author = "Yiu-Kwong Man",
title = "Computing Closed Form Solutions of First Order {ODEs}
Using the {Prelle--Singer} Procedure",
journal = j-J-SYMBOLIC-COMP,
volume = "16",
number = "5",
pages = "423--444 (or 423--443??)",
month = nov,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "34-04 (34A05 68Q40)",
MRnumber = "94m:34002",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
affiliation = "Sch. of Math. Sci., Queen Mary and Westfield Coll.,
London, UK",
classcodes = "C7310 (Mathematics); C4170 (Differential equations)",
classification = "C4170 (Differential equations); C7310
(Mathematics)",
corpsource = "Sch. of Math. Sci., Queen Mary and Westfield Coll.,
London, UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "closed form solutions; Closed form solutions;
differential equations; first order ODEs; First order
ODEs; MACSYMA implementation; manipulation; mathematics
computing; ODEFI; ODESOLVE; Prelle--Singer;
Prelle--Singer procedure; procedure; PSODE; PSODE
versions 1; PSODE versions 2; REDUCE implementations;
symbol; timings; Timings; versions 2",
thesaurus = "Differential equations; Mathematics computing; Symbol
manipulation",
treatment = "P Practical",
}
@Book{Marti:1993:REA,
author = "Jed Marti",
title = "{RLISP '88}: an evolutionary approach to program
design and reuse",
volume = "42",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xiii + 254",
year = "1993",
ISBN = "981-02-1479-0",
ISBN-13 = "978-981-02-1479-1",
LCCN = "QA76.73.L23 M36 1993",
bibdate = "Mon Sep 15 10:34:23 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
z3950.loc.gov:7090/Voyager",
series = "World Scientific series in computer science",
acknowledgement = ack-nhfb,
subject = "LISP (Computer program language); Programming
languages (Electronic computers)",
tableofcontents = "Introduction / 1 \\
An RLISP Primer / 7 \\
Starting RLISP / 8 \\
Primitives / 10 \\
Dotted-Pair and List Notation / 17 \\
RLISP Expressions / 20 \\
Errors / 36 \\
Comments and Annotation / 40 \\
Statements / 43 \\
Procedures / 45 \\
What are Functions? / 50 \\
Files / 59 \\
The FOR Loop / 64 \\
REPEAT and WHILE Loops / 73 \\
Blocks and Transfer Functions / 77 \\
Input and Output / 80 \\
The Property List / 87 \\
The Symbol Table / 92 \\
Binding and Scope / 98 \\
The RECORD Data Structure / 104 \\
Arrays / 111 \\
Constant Declaration / 120 \\
Catching Errors / 121 \\
Macros and Back Quote / 123 \\
Top Level Control / 129 \\
The Compiler / 132 \\
Interactive Programming / 137 \\
Advanced Topics / 141 \\
Case Studies / 145 \\
Polynomial Curve Fitting / 145 \\
Pattern Matching / 148 \\
Biological L-Systems / 153 \\
Text Formatting / 165 \\
Functions / 187 \\
Primitive and Composite Data Types / 187 \\
Function Types / 189 \\
Binding Types / 189 \\
The Functions of Standard Lisp / 189 \\
Small Number Arithmetic / 196 \\
RLISP Specific Functions / 198 \\
Arithmetic Library Functions / 201 \\
GLOBAL and FLUID Variables of Standard Lisp / 204 \\
GLOBAL and FLUID Variables of RLISP / 204 \\
Conclusion / 207 \\
Textbook List / 209 \\
Answers to Selected Problems / 211 \\
Acknowledgments / 242 \\
Bibliography / 245 \\
Index / 245",
}
@TechReport{Melenk:1993:ASN,
author = "Herbert Melenk",
title = "Algebraic Solution of Nonlinear Equation Systems in
{REDUCE}",
type = "Preprint",
number = "TR 93-2",
institution = "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik",
address = "Berlin, Germany",
month = jan,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@InProceedings{Melenk:1993:ASS,
author = "H. Melenk",
editor = "G. Jacob and N. E. Oussous and S. Steinberg",
booktitle = "Proceedings of the 1993 International IMACS Symposium
on Symbolic Computation",
title = "Automatic Symbolic Solution of Nonlinear Equation
Systems in {REDUCE}",
organization = pub-IMACS,
publisher = "Laboratoire d'Informatique Fondamentale de Lille,
France",
address = pub-IMACS:adr,
pages = "175--180",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "Mathematical background and algorithmic structure of
the nonlinear system part of the {REDUCE} 3.4.1 SOLVE
package.",
}
@InProceedings{Moussiaux:1993:CRPa,
author = "A. Moussiaux and R. Mairesse",
title = "{CONVODE}: a {REDUCE} Package for Differential
Equations",
crossref = "DeGroot:1993:PCP",
pages = "134--143",
year = "1993",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Moussiaux:1993:CRPb,
author = "A. Moussiaux",
title = "{CONVODE}: a {REDUCE} package for solving differential
equations",
journal = j-J-COMPUT-APPL-MATH,
volume = "48",
number = "1/2",
pages = "157--166",
month = oct,
year = "1993",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Mon Feb 12 15:34:00 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Seventh Spanish symposium on orthogonal polynomials
and applications: September 1991, Granada, Spain.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Norman:1993:CDS,
author = "A. C. Norman",
title = "Compact Delivery Support for {REDUCE}",
journal = j-LECT-NOTES-COMP-SCI,
volume = "??",
number = "722",
pages = "331--340",
year = "1993",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon Feb 12 15:34:00 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
}
@Article{Snyder:1993:FAG,
author = "Wayne Snyder",
title = "A Fast Algorithm for Generating Reduced Ground
Rewriting Systems from a Set of Ground Equations",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "4",
pages = "415--450",
month = apr,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q42 (68Q25)",
MRnumber = "94h:68115",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4210 (Formal logic)",
corpsource = "Dept. of Comput. Sci., Boston Univ., MA, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "closure; congruence; fast algorithm; generating
reduced ground rewriting systems; Knuth--Bendix
procedures; lexicographic path; linear space; ordering;
quadratic space; rewriting systems; set of ground
equations; theorem proving; total precedence ordering;
worst-case time",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Book{Stauffer:1993:CSC,
author = "Dietrich Stauffer and F. W. Hehl and V. Winkelmann and
J. G. Zabolitzky",
title = "Computer simulation and computer algebra: lectures for
beginners",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Third",
pages = "x + 387",
year = "1993",
ISBN = "3-540-56530-2 (Berlin), 0-387-56530-2 (New York)",
ISBN-13 = "978-3-540-56530-7 (Berlin), 978-0-387-56530-9 (New
York)",
LCCN = "QA76.9.C65 C656 1993",
bibdate = "Fri Nov 01 07:19:14 2002",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Zharkov:1993:CCI,
author = "A. Yu. Zharkov",
title = "Computer Classification of the Integrable Coupled
{Kdv}-like Systems with Unit Main Matrix",
journal = j-J-SYMBOLIC-COMP,
volume = "15",
number = "1",
pages = "85--90",
month = jan,
year = "1993",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "35Q53 (68Q40)",
MRnumber = "94b:35252",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C7310 (Mathematics);
C4140 (Linear algebra)",
comment = "The classification of 2-component systems of equations
for the form
$u^{i}_{t}=u^{i}_{xxx}+c_{ij}u^{i}u^{j}_{x}(i,j=1,2)$
which possess higher symmetries is given. A new class
of such integrable KdV-like systems is obtained. All
the computations have been done using the {REDUCE}
computer algebra system.",
corpsource = "Saratov State Univ., Russia",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "equations; integrable coupled Kdv-like systems;
mathematics computing; matrix algebra; partial
differential; PDE; REDUCE computer algebra system;
symbol manipulation; unit main matrix",
treatment = "P Practical",
}
@InProceedings{Borst:1994:GRP,
author = "W. N. Borst and V. V. Goldman and J. A. {Van
Hulzen}",
title = "{GENTRAN} 90: a {REDUCE} package for the generation of
{Fortran} 90 code",
crossref = "ACM:1994:IPI",
pages = "45--51",
year = "1994",
bibdate = "Thu Sep 26 05:45:15 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "GENTRAN is a code generator and translator running
under REDUCE and MACSYMA. It is a tool for generating
Fortran 77, RATFOR or C programs from program
specifications and symbolic expressions. Its facilities
include template processing, automatic segmentation of
large expressions and a file handling mechanism.
GENTRAN can be used in combination with SCOPE 1.5, a
source code optimization package for REDUCE. We present
an extension of the REDUCE version of GENTRAN, called
GENTRAN 90. It makes generation of Fortran 90 code
possible.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Twente Univ., Enschede,
Netherlands",
classification = "C6115 (Programming support); C6140D (High level
languages); C6150C (Compilers, interpreters and other
processors); C7310 (Mathematics computing)",
keywords = "C; Code generation; Code generator; Code translator;
File handling; Fortran 77; Fortran 90 code; GENTRAN 90;
MACSYMA; Program specifications; RATFOR; REDUCE; REDUCE
package; SCOPE 1.5; Source code optimization package;
Symbolic expression; Template processing",
thesaurus = "FORTRAN; Optimisation; Program interpreters; Software
packages; Software tools; Symbol manipulation",
}
@InProceedings{Dyer:1994:ASC,
author = "C. C. Dyer",
title = "An application of symbolic computation in the physical
sciences",
crossref = "ACM:1994:IPI",
pages = "181--186",
year = "1994",
bibdate = "Thu Sep 26 05:45:15 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "An example of a problem in the physical sciences is
discussed where application of various symbolic
computation facilities available in many algebraic
computing systems leads to a significant expansion of
the range of problems that can be solved. Since most
interesting problems in the physical sciences
eventually require the numerical solution of systems of
equations, of various types, we introduce an example
and describe an approach to a solution, beginning at
the development of relevant differential equations,
using, for example REDUCE, and leading eventually to
the generation of highly efficient and stable numerical
code for the solution, using, in our case, the C
language. The use of SCOPE and GENTRAN, as well as
series packages in REDUCE are discussed. In many areas
of interest, a considerable amount of work has to be
performed to arrive at the symbolic equations to solve,
and this is particularly true in General Relativity and
related gravitation theories. Some packages, such as
REDTEN, for calculation in this field are discussed.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Astron., Toronto Univ., Ont., Canada",
classification = "C4170 (Differential equations); C7310 (Mathematics
computing); C7320 (Physics and chemistry computing)",
keywords = "Algebraic computing systems; C language; Calculation;
Differential equations; General Relativity; GENTRAN;
Gravitation theories; Numerical code; Numerical
solution; Physical sciences; REDTEN; REDUCE; SCOPE;
Series packages; Symbolic computation; Symbolic
equations",
thesaurus = "Differential equations; Gravitation; Mathematics
computing; Physics computing; Symbol manipulation",
}
@InProceedings{Grabe:1994:SDC,
author = "H.-G. Grabe",
title = "A short description of {CALI} --- a {REDUCE} package
for commutative algebra (version 2.1)",
crossref = "Calmet:1994:RWC",
pages = "182--193",
year = "1994",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C1110 (Algebra)",
conftitle = "Proceedings of The Rhine Workshop on Computer
Algebra",
corpsource = "Fachbereich Math./Inf., Leipzig Univ., Germany",
keywords = "algebra; algorithm; CALI; commutative algebra;
computational model; {Gr{\"o}bner} basis; ideals;
modules; REDUCE package; software packages; submodules;
symbol manipulation",
sponsororg = "Univ. Karlsruhe",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Graebe:1994:SDC,
author = "H.-G. Graebe",
title = "A Short Description of {CALI} --- a {REDUCE} Package
for Commutative Algebra (Version 2.1)",
crossref = "Calmet:1994:RWC",
pages = "182--193",
year = "1994",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Article{Ito:1994:SRP,
author = "M. Ito",
title = "{SYMCD} --- a {REDUCE} package for finding symmetries
and conserved densities of systems of nonlinear
evolution equations",
journal = j-COMP-PHYS-COMM,
volume = "79",
number = "3",
pages = "547--??",
month = may,
year = "1994",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 12 15:34:00 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@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",
DOI = "http://dx.doi.org/10.1109/59.317672",
ISSN = "0885-8950 (print), 1558-0679 (electronic)",
ISSN-L = "0885-8950",
bibdate = "Wed Dec 18 11:34:40 MST 1996",
bibsource = "Compendex database;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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",
fjournal = "IEEE Transactions on Power Systems",
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",
}
@Article{Kleene:1994:SBP,
author = "S. J. Kleene and H. C. Cejtin",
title = "Solving Buffering Problems with {Mathematica}
Software",
journal = j-ANALYT-BIOCHEM,
volume = "222",
number = "2",
pages = "310--314",
day = "1",
month = nov,
year = "1994",
CODEN = "ANBCA2",
ISSN = "0003-2697",
ISSN-L = "0003-2697",
bibdate = "Mon Feb 5 09:33:30 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "Determining ionic concentrations in buffered solutions
usually reduces to solving a set of simultaneous
polynomial equations. Mathematica software offers a
convenient method for doing this. Using buffering of
Ca2+ by ethylene glycol bis(beta-aminoethyl
ether)-N,N,N',N'-tetraacetic acid (EGTA) as an example,
we provide a Mathematica script to estimate the
apparent association constant. A second example shows
how to calculate free ion concentrations when two
ligands (Ca2+ and Mg2+) compete for one chelator
(EGTA). Finally, the concentrations of all species are
determined in a complex mixture containing Ca2+, EGTA,
and calmodulin, a protein with four Ca(2+)-binding
sites. Modifying the examples presented should allow
analysis of most practical buffering problems.",
acknowledgement = ack-nhfb,
chemicalsubs = "0 (Buffers); 67-42-5 (Egtazic Acid); 7440-70-2
(Calcium)",
countrypub = "UNITED STATES",
datesentered = "Entered 950323",
fjournal = "Analytical biochemistry",
grantno = "R01 DC00926; DC; NIDCD; PO1 DC00347; DC; NIDCD",
meshheadings = "*Buffers; *Calcium; *Software; Algorithms; Egtazic
Acid; Osmolar Concentration; Support, U.S. Gov't,
P.H.S.",
recordno = "95168578",
}
@InCollection{Krasilshchik:1994:DRO,
author = "I. S. Krasil{\cprime}shchik and P. H. M. Kersten",
booktitle = "Geometry in partial differential equations",
title = "Deformations and recursion operators for evolution
equations",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "114--154",
year = "1994",
MRclass = "58H10 (35Q53 58G35)",
MRnumber = "1340216 (96e:58172)",
MRreviewer = "Kazushige Ueno",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@InProceedings{Lanyov:1994:RUC,
author = "A. V. Lanyov",
title = "{REDUCE} usage for calculations in chiral meson
models",
crossref = "Gruber:1994:PJE",
pages = "179--181",
year = "1994",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A1130R (Chiral symmetries in particle physics); A1440
(Mesons and meson resonances); A0270 (Computational
techniques); C7320 (Physics and chemistry computing)",
conflocation = "Lugano, Switzerland; 22--26 Aug. 1994",
conftitle = "Proceedings of 6th Joint International Conference on
Physics Computing (PC'94)",
corpsource = "Particle Phys. Lab., JINR, Dubna, Russia",
keywords = "algebra; calculation; chiral meson model; chiral
symmetries; chiral symmetry; elementary particle
theory; mesons; physics computing; REDUCE; software
packages; symbol manipulation",
treatment = "P Practical",
}
@InProceedings{McCrea:1994:RGR,
author = "J. D. McCrea",
title = "{REDUCE} in general relativity and {Poincar{\'e}}
gauge theory",
crossref = "MacCallum:1994:ACG",
pages = "173--176",
year = "1994",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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",
ISBN-13 = "978-981-02-1770-9",
LCCN = "QC174.17.D37 S74 1994",
bibdate = "Wed Feb 15 15:58:54 1995",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Computer algorithms.; Quantum mechanics --- Data
processing",
}
@Article{Basios:1995:GRP,
author = "V. Basios and N. A. Chekanov and B. L. Markovski and
V. A. Rostovtsev and S. I. Vinitsky",
title = "{GITA}: {A REDUCE} program for the normalization of
polynomial Hamiltonians",
journal = j-COMP-PHYS-COMM,
volume = "90",
number = "2-3",
pages = "355--368",
month = oct,
year = "1995",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A0365F (Algebraic methods in quantum theory); A0210
(Algebra, set theory, and graph theory); A0545 (Theory
and models of chaotic systems); A0365S (Semiclassical
theories and applications in quantum theory); C7320
(Physics and chemistry computing)",
corpsource = "Int. Solvay Inst. for Phys. and Chem., Brussels,
Belgium",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "algebra; angle-action coordinates; Cartesian
coordinates; chaos; computer; equilibrium point; GITA;
normal Birkhoff--Gustavson form; normalization; physics
computing; polynomial Hamiltonians; polynomials; power
series; program package; quantum theory; REDUCE
program; resonance condition; truncated",
treatment = "P Practical; 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 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40 (57N05 68U10)",
MRnumber = "1 339 116",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
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",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
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;
Special issue on DISCO 1993; 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",
}
@Article{Grabe:1995:ALA,
author = "Hans-Gert Gr{\"a}be",
title = "Algorithms in Local Algebra",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "6",
pages = "545--558 (or 545--557??)",
month = jun,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "13P10 (68Q40)",
MRnumber = "96m:13017",
MRreviewer = "Pascual Jara",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory); C1110
(Algebra); C7310 (Mathematics computing)",
corpsource = "Inst. fur Inf., Leipzig Univ., Germany",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra; algorithm theory; symbol manipulation; local
algebra; deformation argument; field; polynomial ring;
ideal intersections; module intersections; quotients;
radical membership decidability; local ring; mixed-type
term; orders; standard bases; Gr{\"o}bner bases;
tangent cone; algorithm; independent sets; local term
orders; REDUCE; package; CALI",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Hartley:1995:GBC,
author = "David Hartley and Philip Tuckey",
title = "{Gr{\"o}bner} Bases in {Clifford} and {Grassmann}
Algebras",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "2",
pages = "197--206 (or 197--205??)",
month = aug,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "15A66 (15A75 16S10 68Q40)",
MRnumber = "96m:15038",
MRreviewer = "Maurice Flamant",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C1110 (Algebra)",
corpsource = "GMD, St. Augustin, Germany",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra; symbol manipulation; Gr{\"o}bner bases;
Grassmann algebras; Clifford algebras; characterization
criterion; REDUCE implementation",
treatment = "T Theoretical or Mathematical",
}
@Article{Hearn:1995:CAS,
author = "Anthony C. Hearn and Eberhard Schr{\"u}fer",
title = "A Computer Algebra System Based on Order-Sorted
Algebra",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "1/2/3",
pages = "65--79 (or 65--77??)",
month = jan # ", " # feb # ", " # mar,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40",
MRnumber = "96d:68107",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Design and implementation of symbolic computation
systems (Gmunden, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "RAND, Santa Monica, CA, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171/",
keywords = "computer algebra system; generic objects; mathematics
computing; order-sorted algebra; prototype; Reduce;
Special issue on DISCO 1993; symbol manipulation; type
checking",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Kersten:1995:GFN,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
editor = "V. V. Lychagin",
booktitle = "The interplay between differential geometry and
differential equations",
title = "Graded {Fr{\"o}licher--Nijenhuis} brackets and the
theory of recursion operators for super differential
equations",
volume = "167",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "91--129",
year = "1995",
ISBN = "0-8218-0428-6",
ISBN-13 = "978-0-8218-0428-5",
MRclass = "58F07 (35Q53 58C50 58H15)",
MRnumber = "1343985 (96e:58074)",
MRreviewer = "Daniel Hern{\'a}ndez Ruip{\'e}rez",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = "Amer. Math. Soc. Transl. Ser. 2",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Konieczny:1995:RIS,
author = "Janusz Konieczny",
title = "Reduced Idempotents in the Semigroup of {Boolean}
Matrices",
journal = j-J-SYMBOLIC-COMP,
volume = "20",
number = "4",
pages = "471--482",
month = oct,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "20M20 (15A33 68Q40)",
MRnumber = "97d:20082",
MRreviewer = "P. G. Trotter",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra); C4210
(Formal logic)",
corpsource = "Dept. of Math., Mary Washington Coll., Fredericksburg,
VA, USA",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "Boolean algebra; Boolean matrices semigroup; finite
set; matrix algebra; order relations; partial; reduced
idempotents",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Krasilshchik:1995:GDE,
author = "I. S. Krasil{\cprime}shchik and P. H. M. Kersten",
title = "Graded differential equations and their deformations:
a computational theory for recursion operators",
journal = j-ACTA-APPL-MATH,
volume = "41",
number = "1--3",
pages = "167--191",
year = "1995",
CODEN = "AAMADV",
DOI = "http://dx.doi.org/10.1007/BF00996112",
ISSN = "0167-8019 (print), 1572-9036 (electronic)",
ISSN-L = "0167-8019",
MRclass = "58H15 (35Q99 58F07)",
MRnumber = "1362126 (96j:58188)",
MRreviewer = "Ceferino Ruiz",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Geometric and algebraic structures in differential
equations",
acknowledgement = ack-nhfb,
fjournal = "Acta Applicandae Mathematicae. An International Survey
Journal on Applying Mathematics and Mathematical
Applications",
journal-URL = "http://link.springer.com/journal/10440",
keywords = "Maybe Reduce algebra system",
}
@Article{Norman:1995:CDS,
author = "A. C. Norman",
title = "Compact Delivery Support for {REDUCE}",
journal = j-J-SYMBOLIC-COMP,
volume = "19",
number = "1/2/3",
pages = "133--143 (or 133--144??)",
month = jan # ", " # feb # ", " # mar,
year = "1995",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
MRclass = "68Q40",
MRnumber = "1 339 114",
bibdate = "Sat May 10 15:54:09 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Design and implementation of symbolic computation
systems (Gmunden, 1993).",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C6120 (File
organisation); C6150C (Compilers, interpreters and
other processors)",
corpsource = "Comput. Lab., Cambridge Univ., UK",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "algebra; algorithms; arithmetic; compact delivery
support; compilation; CSL; higher level algebraic;
LISP; Lisp system; Lisp-coded algebra system;
management; mathematics computing; micro-kernel;
performance; portability; program compilers; REDUCE;
Special issue on DISCO 1993; storage; symbol
manipulation; system; user interfaces",
treatment = "P Practical",
}
@Article{Nunez:1995:ACR,
author = "Luis A. Nunez",
title = "Algebraic Computing with {REDUCE}",
journal = j-GEN-RELATIVITY-GRAV,
volume = "27",
number = "4",
pages = "457--??",
year = "1995",
CODEN = "GRGVA8",
ISSN = "0001-7701 (print), 1572-9532 (electronic)",
ISSN-L = "0001-7701",
bibdate = "Mon Feb 12 15:34:00 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "General Relativity and Gravitation",
}
@Article{Aslaksen:1996:MVC,
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 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:04 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing)",
corpsource = "Dept. of Math., Nat. Univ. of Singapore, Singapore",
fjournal = "SIGSAM Bulletin",
issue = "116",
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",
}
@Article{Bernardin:1996:RSS,
author = "Laurent Bernardin",
title = "A Review of Symbolic Solvers",
journal = j-SIGSAM,
volume = "30",
number = "1",
pages = "9--20",
month = mar,
year = "1996",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:04 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C7310 (Mathematics computing); C6130 (Data handling
techniques)",
corpsource = "Inst. for Sci. Comput., Eidgenossische Tech.
Hochschule, Zurich, Switzerland",
fjournal = "SIGSAM Bulletin",
issue = "115",
keywords = "algebraic; Axiom 2.0; computer algebra system; Derive
3.06; equation solving; general; 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",
}
@InProceedings{Hartley:1996:CSI,
author = "D. Hartley",
title = "Causal structure and integrability in moving frames
with {Reduce}",
crossref = "Hehl:1996:RSC",
pages = "270--284",
year = "1996",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A0420J (Solutions to equations in general relativity);
A0230 (Function theory, analysis); A0270 (Computational
techniques); A0240 (Geometry, differential geometry,
and topology); C7320 (Physics and chemistry computing);
C7310 (Mathematics computing)",
corpsource = "Inst. for Algorithms and Sci. Comput., Nat. Res.
Center for Inf. Technol., St. Augustin, Germany",
keywords = "causal structure; conditions; configurations;
differential equations; EDS; Einstein field equations;
equations; exterior differential systems; general
ansatz; geometry; integrability; isometric embedding;
moving frames; package; partial; partial differential;
physics computing; problem; process algebra; Reduce
package; Ricci flat immersions; space-time; symbol
manipulation; twisting type N spacetimes; vacuum
Einstein equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Ilyin:1996:APT,
author = "V. A. Ilyin and A. P. Kryukov",
title = "{ATENSOR}: {REDUCE} program for tensor
simplification",
journal = j-COMP-PHYS-COMM,
volume = "96",
number = "1",
pages = "36--52",
month = jul,
year = "1996",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A0270 (Computational techniques); A0210 (Algebra, set
theory, and graph theory); A0220 (Group theory); C7310
(Mathematics computing)",
corpsource = "Inst. of Nucl. Phys., Moscow State Univ., Russia",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "ATENSOR; canonical element; dimension; group algebra;
group theory; linear space; mathematics computing;
REDUCE program; symmetry; tensor simplification;
tensors; vectors",
treatment = "T Theoretical or Mathematical",
}
@Article{Kadlecsik:1996:RCP,
author = "J. Kadlecsik",
title = "{Ricci} calculus package in {REDUCE}",
journal = j-COMP-PHYS-COMM,
volume = "93",
number = "2-3",
pages = "265--282",
month = feb,
year = "1996",
CODEN = "CPHCBZ",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "A0420 (General relativity); A0210 (Algebra, set
theory, and graph theory); A0270 (Computational
techniques); C7320 (Physics and chemistry computing);
C4210 (Formal logic); C1110 (Algebra)",
corpsource = "Central Res. Inst. for Phys., Budapest, Hungary",
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "algebra; calculus; computer algebra; general
relativity; physics computing; process; REDUCE code;
Ricci calculus package; RICCIR program; software
packages; symbol manipulation; system; tensor algebra;
tensors",
treatment = "T Theoretical or Mathematical",
}
@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 = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Thu Jul 26 05:45:21 2001",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
IEEE Xplore database",
acknowledgement = ack-nhfb,
keywords = "MACSYMA; Maple; Mathematica; Reduce",
}
@InProceedings{Norman:1996:IRJ,
author = "A. Norman and J. Fitch",
title = "Interfacing {REDUCE} to {Java}",
crossref = "Calmet:1996:DIS",
publisher = pub-SV,
address = pub-SV:adr,
pages = "271--276",
year = "1996",
bibdate = "Tue Mar 25 16:11:15 MST 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classcodes = "C6150C (Compilers, interpreters and other processors);
C6130 (Data handling techniques); C6140 (Programming
languages)",
conftitle = "Proceedings of International Symposium on Design and
Implementation of Symbolic Computation Systems",
corpsource = "Comput. Lab., Cambridge Univ., UK",
keywords = "algebra systems; Java; problem solving; program
processors; programming languages; REDUCE; scientific
problem-solving; software bus; symbol manipulation",
treatment = "P Practical",
}
@Article{Dolzmann:1997:RCA,
author = "Andreas Dolzmann and Thomas Sturm",
title = "{REDLOG}: Computer algebra meets computer logic",
journal = j-SIGSAM,
volume = "31",
number = "2",
pages = "2--9",
month = jun,
year = "1997",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:04 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "120",
keywords = "REDUCE",
}
@Book{Grozin:1997:URH,
author = "A. G. Grozin",
title = "Using {REDUCE} in high energy physics",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiv + 384",
year = "1997",
DOI = "http://dx.doi.org/10.1017/CBO9780511524400",
ISBN = "0-521-01952-4, 0-521-56002-0 (hardcover)",
ISBN-13 = "978-0-521-01952-1, 978-0-521-56002-3 (hardcover)",
LCCN = "QC793.3.H5 G76 1997",
MRclass = "81-04",
MRnumber = "1437601 (98j:81002)",
MRreviewer = "T. C. Mohan",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "English translation of an original Russian edition.",
URL = "http://www.inp.nsk.su/persons/A_G_Grozin/book/",
acknowledgement = ack-nhfb,
keywords = "Reduce computer-algebra system",
tableofcontents = "\\
Preface \\
Part I. REDUCE Language \\
1. Welcome to REDUCE \\
2. Functions and substitutions \\
3. REDUCE as a programming language \\
4. Additional facilities \\
5. Matrices, vectors, tensors, operators \\
6. Input-output \\
7. Examples \\
Part II. Selected Problems In Classical Physics \\
1. The classical nonlinear operator \\
2. Nonlinear water waves \\
3. Calculation of the curvature tensor \\
4. Examples \\
Part III. Quantum Mechanics \\
1. Adding angular momenta \\
2. The quantum nonlinear oscillator \\
3. A rotator in a weak field \\
4. Radiative transitions in charmonium \\
5. Examples \\
Part IV. Quantum Electrodynamics \\
1. Kinematics \\
2. Fields \\
3. Feynman diagrams \\
4. Scattering in an external field \\
5. Charged particle scattering \\
6. Photon-electron scattering \\
7. Positronium annihilation \\
Part V. Weak Interactions \\
1. Electroweak interaction \\
2. W and Z decays \\
3. Weak decays \\
4. W production \\
Part VI. Quantum Chromodynamics \\
1. Feynman diagrams in QCD \\
2. e+e- annihilation into hadrons \\
3. Charmonium decays \\
4. Quark and gluon scattering \\
Part VII. Radiative Corrections \\
1. Dimensional regularization and renormalization \\
2. Radiative corrections in quantum electrodynamics \\
3. Radiative corrections in quantum chromodynamics \\
References \\
Index",
}
@Article{Nieuwenhuis:1997:PBA,
author = "R. Nieuwenhuis and A. Rubio",
title = "Paramodulation with Built-in {AC}-Theories and
Symbolic Constraints",
journal = j-J-SYMBOLIC-COMP,
volume = "23",
number = "1",
pages = "1--22 (or 1--21??)",
month = jan,
year = "1997",
CODEN = "JSYCEH",
ISSN = "0747-7171 (print), 1095-855X (electronic)",
ISSN-L = "0747-7171",
bibdate = "Sat May 10 13:01:32 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
classification = "C1230 (Artificial intelligence); C4210 (Formal
logic); C4240 (Programming and algorithm theory); C7310
(Mathematics computing)",
corpsource = "Tech. Univ. of Catalonia, Barcelona, Spain",
fjournal = "Journal of Symbolic Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/07477171",
keywords = "built-in AC-theories; built-in associativity; clauses;
commutativity; finite saturated sets; function symbols;
inference; inference mechanisms; Knuth--Bendix
completion module AC rewriting; minimal E-unifiers;
paramodulation; reduced search space; symbol
manipulation; symbolic constraints; theorem proving",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Baikov:1998:TLV,
author = "P. A. Baikov and M. Steinhauser",
title = "Three-loop vacuum integrals in {FORM} and {REDUCE}",
journal = j-COMP-PHYS-COMM,
volume = "115",
number = "2--3",
pages = "161--169",
day = "2",
month = dec,
year = "1998",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(98)00125-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:30:33 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465598001258",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Socorro:1998:CAG,
author = "Jos{\'e} Socorro and Alfredo Mac{\'{\i}}as and
Friedrich W. Hehl",
title = "Computer algebra in gravity: {Reduce--Excalc} programs
for (non-) {Riemannian} space-times. $ {I} $",
journal = j-COMP-PHYS-COMM,
volume = "115",
number = "2--3",
pages = "264--283",
day = "2",
month = dec,
year = "1998",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(98)00133-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "83-04",
MRnumber = "1666330 (99h:83001)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465598001337",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications. An International
Journal and Program Library for Computational Physics
and Physical Chemistry",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "Reduce computer-algebra system",
}
@Misc{Anonymous:19xx:RNL,
key = "ZZZ",
title = "{REDUCE} Network Library, Bibliography",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib",
note = "\path=reduce-library@rand.org=, wird lauf\-end
erg{\"a}nzt",
}
@Article{Barbier:19xx:AGS,
author = "C. Barbier and P. Clark and P. Bettess and J.
Bettess",
title = "Automatic Generation of Shape Functions for Finite
Element Analysis Using {REDUCE}",
journal = j-INT-J-NUM-METH-ENG,
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib",
note = "submitted",
}
@TechReport{Cejchan:19xx:ARA,
author = "A. Cejchan and J. Nadrchal",
title = "Application of {REDUCE-2} and Analytic Integration
Program in the Theoretical Solid State Physics",
institution = "Institute of Physics, CSAV",
address = "Prague, Czechoslovakia",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Kryukov:TBD:URC,
author = "A. P. Kryukov and A. Ya. Rodionov",
title = "Usage of {REDUCE} for Computations of
Group-Theoretical Weight of {Feynman} Diagrams in
{Non-Abelian} Gauge Theories",
institution = "Institute of Nuclear Physics",
address = "Moscow, USSR",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
}
@TechReport{Ozieblo:19xx:ARG,
author = "A. Ozieblo",
title = "Application of {REDUCE 2} in General Theory of
Relativity",
institution = "Cyfronet",
address = "Krakow, Poland",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/reduce.bib",
comment = "Application of {REDUCE 2} in all calculations typical
for General Theory of Relativity is shown here. The
most spectacular usage of {REDUCE 2} appears to be in
various aspects of tensor calculus including
differentiation operations.",
}
@TechReport{vanHulzen:19xx:SSC,
author = "J. A. {van Hulzen}",
title = "{SCOPE} 1, a Source-Code Optimization Package for
{REDUCE} --- User's Manual",
type = "Technical Report",
institution = "Twente University of Technology, Department of
Computer Science",
address = "Enschede, The Netherlands",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/auto.diff.bib",
referred = "[Gold91a].",
}
@Article{AlvarezSobreviela:2000:RBO,
author = "Luis {Alvarez Sobreviela}",
title = "A {Reduce}-based {OpenMath} $ \leftrightarrow $
{MathML} Translator",
journal = j-SIGSAM,
volume = "34",
number = "2",
pages = "31--32",
month = jun,
year = "2000",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:07 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "132",
}
@Article{Denisova:2000:ACA,
author = "I. P. Denisova and A. A. Zubrilo",
title = "Application of the computer algebra ``{REDUCE}'' for
integrating equations of gravitation theory by the
{Newman--Penrose} method",
journal = "Mat. Model.",
volume = "12",
number = "2",
pages = "59--67",
year = "2000",
ISSN = "0234-0879",
MRclass = "83-04 (83C60 83D05)",
MRnumber = "1774018 (2001f:83001)",
MRreviewer = "Sergey I. Tertychniy",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Rossi\u\i skaya Akademiya Nauk. Matematicheskoe
Modelirovanie",
keywords = "Reduce computer-algebra system",
}
@Book{Krasilshchik:2000:SRO,
author = "I. S. (Iosif Semenovich) Krasil{\cprime}shchik and P.
H. M. Kersten",
title = "Symmetries and recursion operators for classical and
supersymmetric differential equations",
volume = "507",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "xvi + 384",
year = "2000",
ISBN = "0-7923-6315-9 (hardcover)",
ISBN-13 = "978-0-7923-6315-6 (hardcover)",
LCCN = "QA377 .K675 2000",
bibdate = "Tue Sep 23 07:18:13 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
z3950.loc.gov:7090/Voyager",
series = "Mathematics and its applications",
URL = "http://www.loc.gov/catdir/enhancements/fy0822/00037545-d.html;
http://www.loc.gov/catdir/enhancements/fy0822/00037545-t.html",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
subject = "Differential equations, Nonlinear; Conservation laws
(Mathematics); Symmetry (Physics)",
}
@Article{Triulzi:2000:OSU,
author = "Arrigo Triulzi",
title = "{OpenMath} support under {CSL}-hosted {{\sc Reduce}}",
journal = j-SIGSAM,
volume = "34",
number = "2",
pages = "27--30",
month = jun,
year = "2000",
CODEN = "SIGSBZ",
ISSN = "0163-5824 (print), 1557-9492 (electronic)",
ISSN-L = "0163-5824",
bibdate = "Fri Feb 8 18:27:07 MST 2002",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGSAM Bulletin",
issue = "132",
}
@Article{Gao:2002:CCQ,
author = "Min Gao and Yasuyuki Kato and Masaaki Ito",
title = "Calculation of the conserved quantity for rational
difference equations through {REDUCE}",
journal = "S\=urikaisekikenky\=usho K\=oky\=uroku",
volume = "1295",
pages = "56--61",
year = "2002",
MRclass = "65Q05 (39A05)",
MRnumber = "1983600",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Computer algebra---algorithms, implementations and
applications (Kyoto, 2001)",
acknowledgement = ack-nhfb,
fjournal = "S\=urikaisekikenky\=usho K\=oky\=uroku",
keywords = "Reduce computer-algebra system",
}
@Article{Gao:2002:RPF,
author = "Min Gao and Yasuyuki Kato and Masaaki Ito",
title = "A {REDUCE} package for finding conserved densities of
systems of nonlinear difference-difference equations",
journal = j-COMP-PHYS-COMM,
volume = "148",
number = "2",
pages = "242--255",
year = "2002",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(02)00556-8",
ISSN = "0010-4655",
ISSN-L = "0010-4655",
MRclass = "39-04 (68W30)",
MRnumber = "1931580 (2003g:39001)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications. An International
Journal and Program Library for Computational Physics
and Physical Chemistry",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "Reduce computer-algebra system",
}
@InCollection{Kersten:2002:CIC,
author = "Paul Kersten and Joseph Krasil{\cprime}shchik",
booktitle = "{Lie} groups, geometric structures and differential
equations---one hundred years after {Sophus Lie
(Kyoto/Nara, 1999)}",
title = "Complete integrability of the coupled {KdV--mKdV}
system",
volume = "37",
publisher = "Math. Soc. Japan",
address = "Tokyo, Japan",
pages = "151--171",
year = "2002",
MRclass = "37K10 (35A30 35Q53)",
MRnumber = "1980900 (2004k:37146)",
MRreviewer = "Yuri Yu. Berest",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = "Adv. Stud. Pure Math.",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@TechReport{Kersten:2002:ESS,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
A. M. Verbovetsky",
title = "An extensive study of the {$ N = 1 $} supersymmetric
{KdV} equation",
type = "Memorandum",
number = "1656",
institution = "Faculty of Mathematical Sciences, University of
Twente",
address = "Enschede, The Netherlands",
year = "2002",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.math.utwente.nl/publications/2002/1656abs.html",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@TechReport{Kersten:2002:ROH,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
title = "From recursion operators to {Hamiltonian} structures:
the factorization method",
type = "Memorandum",
number = "1624",
institution = "Faculty of Mathematical Sciences, University of
Twente",
address = "Enschede, The Netherlands",
year = "2002",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Passmore:2002:LPN,
author = "Tim Passmore and A. J. Roberts",
title = "Low {Prandtl} number fluid convection modelled using
symbolic algebra ({REDUCE}) and {Matlab}",
journal = j-ANZIAM-J,
volume = "44",
number = "(C)",
pages = "C590--C626",
year = "2002",
CODEN = "AJNOA2",
ISSN = "1446-1811 (print), 1446-8735 (electronic)",
MRclass = "76E06 (76-04)",
MRnumber = "MR2163212",
bibdate = "Tue Mar 30 16:13:03 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "The ANZIAM Journal. The Australian \& New Zealand
Industrial and Applied Mathematics Journal",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
}
@Article{Vulcanov:2002:GTD,
author = "Dumitru N. Vulcanov",
title = "Gravity, torsion, {Dirac} field and computer algebra
using {MAPLE} and {REDUCE}",
journal = "arxiv.org",
pages = "20",
day = "25",
month = sep,
year = "2002",
bibdate = "Sat Sep 13 17:10:43 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://arxiv.org/abs/gr-qc/0209096",
abstract = "The article presents computer algebra procedures and
routines applied to the study of the Dirac field on
curved spacetimes. The main part of the procedures is
devoted to the construction of Pauli and Dirac matrices
algebra on an anholonomic orthonormal reference frame.
Then these procedures are used to compute the Dirac
equation on curved spacetimes in a sequence of special
dedicated routines. A comparative review of such
procedures obtained for two computer algebra platforms
(REDUCE + EXCALC and MAPLE + GRTensorII) is carried
out. Applications for the calculus of Dirac equation on
specific examples of spacetimes with or without torsion
are pointed out.",
acknowledgement = ack-nhfb,
}
@Book{Grabmeier:2003:CAH,
editor = "Johannes Grabmeier and Erich Kaltofen and Volker
Weispfenning",
title = "Computer algebra handbook: foundations, applications,
systems",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xx + 637",
year = "2003",
ISBN = "3-540-65466-6",
ISBN-13 = "978-3-540-65466-7",
LCCN = "QA155.7.E4 C64954 2003",
MRclass = "68W30, 00B15, 68-06",
bibdate = "Tue Nov 22 06:00:25 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
z3950.loc.gov:7090/Voyager",
note = "Includes CD-ROM.",
URL = "http://www.springer.com/sgw/cda/frontpage/0,11855,1-102-22-1477871-0,00.html",
acknowledgement = ack-nhfb,
keywords = "Aldor; AXIOM; Derive; exact arithmetic; Macsyma;
Magma; Maple Mathematica; MuPAD; REDUCE; TI-92",
subject = "Algebra; Data processing",
}
@Article{Igonin:2003:SCI,
author = "S. Igonin and P. H. M. Kersten and I.
Krasil{\cprime}shchik",
title = "On symmetries and cohomological invariants of
equations possessing flat representations",
journal = "Differential Geom. Appl.",
volume = "19",
number = "3",
pages = "319--342",
year = "2003",
CODEN = "DGAPEO",
DOI = "http://dx.doi.org/10.1016/S0926-2245(03)00049-4",
ISSN = "0926-2245",
MRclass = "58J70 (37K05 37K35 58A20)",
MRnumber = "2013099 (2004i:58061)",
MRreviewer = "Jaime Mu{\~n}oz Masqu{\'e}",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://diffiety.ac.ru/preprint/2002/07_02abs.htm",
acknowledgement = ack-nhfb,
fjournal = "Differential Geometry and its Applications",
keywords = "Maybe Reduce algebra system",
}
@InProceedings{Kersten:2003:GAH,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
A. M. Verbovetsky",
editor = "????",
booktitle = "{Proceedings of the Conference ``Kolmogorov and
Contemporary Mathematics'', Moscow, Russia}",
title = "A geometric approach to {Hamiltonian} structures for
evolution equations",
publisher = "????",
address = "????",
pages = "815--816",
year = "2003",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Kersten:2003:SKE,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
A. M. Verbovetsky",
title = "The {$ N = 1 $} supersymmetric {KdV} equation:
(non)local {Hamiltonian} and symplectic structures,
recursions, and hierarchies",
journal = "arxiv.org",
pages = "15",
year = "2003",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://arxiv.org/abs/nlin/0305026",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@TechReport{Krasilshchik:2003:LES,
author = "I. S. Krasil{\cprime}shchik",
title = "The long exact sequence of a covering: three
applications",
type = "Preprint",
number = "{DIPS 6/2003}",
institution = "The Diffiety Institute",
address = "????",
year = "2003",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.imath.kiev.ua/~snmp2003/Proceedings/krasilshchik.pdf",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@InProceedings{Krasilshchik:2003:NHS,
author = "I. S. Krasil{\cprime}shchik and A. M. Verbovetsky and
P. H. M. Kersten",
editor = "????",
booktitle = "{Proceedings of the Conference ``Kolmogorov and
Contemporary Mathematics'', Moscow, Russia}",
title = "Nonlocal {Hamiltonian}, symplectic and recursion
structures for {$ N = 1 $} supersymmetric {KdV}
equation",
publisher = "????",
address = "????",
pages = "817--818",
year = "2003",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Vulcanov:2003:CDE,
author = "Dumitru N. Vulcanov",
title = "Calculation of the {Dirac} equation in curved
spacetimes with possible torsion using {MAPLE} and
{REDUCE}",
journal = j-COMP-PHYS-COMM,
volume = "154",
number = "3",
pages = "205--218",
year = "2003",
CODEN = "CPHCBZ",
DOI = "http://dx.doi.org/10.1016/S0010-4655(03)00344-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "83-04 (81T20 81T80 83C60)",
MRnumber = "MR2002212 (2004g:83001)",
bibdate = "Sat Sep 13 16:02:50 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib;
http://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications. An International
Journal and Program Library for Computational Physics
and Physical Chemistry",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
keywords = "Reduce computer-algebra system",
}
@Article{Kersten:2004:HOC,
author = "P. Kersten and I. Krasil{\cprime}shchik and A.
Verbovetsky",
title = "{Hamiltonian} operators and {$ \ell^* $}-coverings",
journal = j-J-GEOM-PHYS,
volume = "50",
number = "1--4",
pages = "273--302",
year = "2004",
CODEN = "JGPHE5",
DOI = "http://dx.doi.org/10.1016/j.geomphys.2003.09.010",
ISSN = "0393-0440 (print), 1879-1662 (electronic)",
ISSN-L = "0393-0440",
MRclass = "37K05 (37K10 58D05)",
MRnumber = "2078229 (2005e:37143)",
MRreviewer = "Raffaele Vitolo",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://diffiety.ac.ru/preprint/2002/06_02abs.htm",
acknowledgement = ack-nhfb,
fjournal = "Journal of Geometry and Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/03930440",
keywords = "Maybe Reduce algebra system",
}
@Article{Kersten:2004:ICS,
author = "P. Kersten and I. Krasil{\cprime}shchik and A.
Verbovetsky",
title = "On the integrability conditions for some structures
related to evolution differential equations",
journal = j-ACTA-APPL-MATH,
volume = "83",
number = "1-2",
pages = "167--173",
year = "2004",
CODEN = "AAMADV",
DOI = "http://dx.doi.org/10.1023/B:ACAP.0000035595.97859.5d",
ISSN = "0167-8019 (print), 1572-9036 (electronic)",
ISSN-L = "0167-8019",
MRclass = "37K05 (35Q53 58H99)",
MRnumber = "2079460 (2005g:37122)",
MRreviewer = "Raffaele Vitolo",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Applicandae Mathematicae. An International Survey
Journal on Applying Mathematics and Mathematical
Applications",
journal-URL = "http://link.springer.com/journal/10440",
keywords = "Maybe Reduce algebra system",
}
@TechReport{Kersten:2004:MAE,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
A. M. Verbovetsky",
title = "The {Monge--Amp{\`e}re} equation: {Hamiltonian} and
symplectic structures, recursions, and hierarchies",
type = "Memorandum",
number = "1727",
institution = "Faculty EEMCS, University of Twente",
address = "Enschede, The Netherlands",
pages = "75",
year = "2004",
bibdate = "Tue Sep 23 07:44:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://www.math.utwente.nl/publications/2004/1727.pdf",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Kersten:2004:NLH,
author = "P. Kersten and I. Krasil{\cprime}shchik and A.
Verbovetsky",
title = "{(Non)local Hamiltonian} and symplectic structures,
recursions and hierarchies: a new approach and
applications to the {$ N = 1 $} supersymmetric {KdV}
equation",
journal = j-J-PHYS-A,
volume = "37",
number = "18",
pages = "5003--5019",
year = "2004",
CODEN = "JPHAC5",
DOI = "http://dx.doi.org/10.1088/0305-4470/37/18/007",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "37K10 (35Q53 37K05)",
MRnumber = "2065219 (2005c:37125)",
MRreviewer = "Martin L{\'e}gar{\'e}",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics. A. Mathematical and General",
journal-URL = "http://iopscience.iop.org/0305-4470",
keywords = "Maybe Reduce algebra system",
}
@InCollection{MR2077900,
author = "Paul Kersten and Iosif Krasil{\cprime}shchik and
Alexander Verbovetsky",
editor = "A. G. Nikitin and V. M. Boyko and R. O. Popovych and
I. A. Yehorchenko",
booktitle = "Symmetry in nonlinear mathematical physics. {Part} 1,
2, 3",
title = "Nonlocal constructions in the geometry of {PDE}",
volume = "2",
publisher = "Nats\=\i onal. Akad. Nauk Ukra{\"\}i ni, \=Inst.
Mat.",
address = "Kiev, Ukraine",
pages = "412--423",
year = "2004",
MRclass = "58H10 (35A30 37K05 58J05 58J72)",
MRnumber = "2077900 (2005f:58019)",
MRreviewer = "Agostino Pr{\`a}staro",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "See erratum \cite{}.",
series = "Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 50,
Part 1",
URL = "http://www.imath.kiev.ua/~snmp2003/Proceedings/krasilshchik.pdf",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@InProceedings{Hearn:2005:RFF,
author = "Anthony C. Hearn",
editor = "Andreas Dolzmann and Andreas Seidl and Thomas Sturm",
booktitle = "{Algorithmic Algebra and Logic: Proceedings of the A3L
2005, April 3--6, Passau, Germany, Conference in Honor
of the 60th Birthday of Volker Weispfenning}",
title = "{REDUCE}: The First Forty Years",
publisher = "Herstellung und Verlag: Books on Demand GmhH",
address = "Norderstedt, Germany",
bookpages = "xii + 556",
pages = "19--24",
year = "2005",
ISBN = "3-8334-2669-1",
ISBN-13 = "978-3-8334-2669-8",
LCCN = "A155.7.E4 A39 2005",
bibdate = "Thu Sep 17 11:23:23 2009",
bibsource = "http://library.library.usna.edu;
http://www.math.utah.edu/pub/tex/bib/redextra.bib; U.S.
Naval Academy Minitz Library catalog",
URL = "http://reduce-algebra.com/reduce40.pdf",
acknowledgement = ack-nhfb,
remark = "Invited paper. Some conference papers are published in
the \emph{Journal of Symbolic Computation}, volume 41,
issue 11 (November 2006).",
}
@Article{Kampas:2005:TUR,
author = "F. J. Kampas",
title = "Tricks of Using {Reduce} to Solve {Kuhn--Tucker}
Equations",
journal = j-MATHEMATICA-J,
volume = "9",
number = "4",
pages = "686--689",
year = "2005",
bibdate = "Wed Sep 10 10:57:02 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "See correction \cite{Parreiras:2014:URC}.",
URL = "www.mathematica-journal.com/issue/v9i4/contents/Tricks9-4/Tricks9-4_2.html",
acknowledgement = ack-nhfb,
}
@Article{Kersten:2006:GSD,
author = "Paul Kersten and Iosif Krasil{\cprime}shchik and
Alexander Verbovetsky",
title = "A geometric study of the dispersionless {Boussinesq}
type equation",
journal = j-ACTA-APPL-MATH,
volume = "90",
number = "1-2",
pages = "143--178",
year = "2006",
CODEN = "AAMADV",
DOI = "http://dx.doi.org/10.1007/s10440-006-9034-5",
ISSN = "0167-8019",
ISSN-L = "0167-8019",
MRclass = "37K05 (35A30 35Q53 58J70 58J72)",
MRnumber = "2242952 (2007d:37093)",
MRreviewer = "Agostino Pr{\`a}staro",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Applicandae Mathematicae. An International Survey
Journal on Applying Mathematics and Mathematical
Applications",
journal-URL = "http://link.springer.com/journal/10440",
keywords = "Maybe Reduce algebra system",
}
@InCollection{MR2391504,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
title = "The {Cartan} covering and complete integrability of
the {KdV--mKdV} system",
crossref = "Hanzon:2006:CAS",
volume = "53",
pages = "251--265",
year = "2006",
MRclass = "37K10 (34C14 35Q53)",
MRnumber = "2391504 (2009f:37069)",
MRreviewer = "Yuri B. Suris",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Article{Golovko:2008:ICH,
author = "V. Golovko and P. Kersten and I. Krasil{\cprime}shchik
and A. Verbovetsky",
title = "On integrability of the {Camassa--Holm} equation and
its invariants: a geometrical approach",
journal = j-ACTA-APPL-MATH,
volume = "101",
number = "1--3",
pages = "59--83",
year = "2008",
CODEN = "AAMADV",
DOI = "http://dx.doi.org/10.1007/s10440-008-9200-z",
ISSN = "0167-8019",
ISSN-L = "0167-8019",
MRclass = "37K05 (35A30 35Q53 37K10 58J70)",
MRnumber = "2383545 (2009a:37126)",
MRreviewer = "Marco Pedroni",
bibdate = "Tue Sep 23 07:35:12 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Applicandae Mathematicae. An International Survey
Journal on Applying Mathematics and Mathematical
Applications",
journal-URL = "http://link.springer.com/journal/10440",
keywords = "Maybe Reduce algebra system",
}
@Article{Hearn:2009:RFS,
author = "Anthony C. Hearn",
title = "{REDUCE} is free software as of {January 2009}",
journal = j-ACM-COMM-COMP-ALGEBRA,
volume = "43",
number = "1--2",
pages = "15--16",
month = mar # "/" # jun,
year = "2009",
CODEN = "????",
DOI = "http://dx.doi.org/10.1145/1610296.1610299",
ISSN = "1932-2232 (print), 1932-2240 (electronic)",
ISSN-L = "1932-2232",
bibdate = "Tue Sep 15 13:33:01 MDT 2009",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Communications in Computer Algebra",
}
@Article{Kersten:2010:IKD,
author = "P. H. M. Kersten and I. S. Krasil{\^a}shchik and A. M.
Verbovetsky and R. Vitolo",
title = "Integrability of {Kupershmidt} Deformations",
journal = j-ACTA-APPL-MATH,
volume = "109",
number = "1",
pages = "75--86",
year = "2010",
CODEN = "AAMADV",
DOI = "http://dx.doi.org/10.1007/s10440-009-9442-4",
ISSN = "0167-8019 (print), 1572-9036 (electronic)",
ISSN-L = "0167-8019",
MRclass = "35Q53; 37K05",
bibdate = "Tue Sep 23 07:41:44 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Applicandae Mathematicae",
journal-URL = "http://link.springer.com/journal/10440",
keywords = "Conservation laws; Hamiltonian structures; Maybe
Reduce algebra system; Nonlinear differential
equations; Symmetries; Variational Schouten bracket",
}
@Article{Hermanto:2012:ETP,
author = "Arief Hermanto",
title = "The explanation of the twin paradox using
{Poincar{\'e}} transformation and computer algebra
system {REDUCE}",
journal = "AIP Conference Proceedings",
volume = "1454",
number = "1",
pages = "186--188",
year = "2012",
DOI = "http://dx.doi.org/10.1063/1.4730717",
bibdate = "Sat Sep 13 16:49:07 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4730717",
acknowledgement = ack-nhfb,
}
@Article{Verbovetsky:2012:ISG,
author = "A. M. Verbovetsky and R. Vitolo and P. Kersten and I.
S. Krasil'shchik",
title = "Integrable structures for a generalized
{Monge--Amp{\`e}re} equation",
journal = j-TEORET-MATH-FIZ,
volume = "171",
number = "2",
pages = "208--224",
year = "2012",
CODEN = "TMFZAL",
ISSN = "0564-6162",
bibdate = "Tue Sep 23 07:32:36 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
fjournal = "Teoreticheskaya i Matematicheskaya Fizika",
keywords = "Maybe Reduce algebra system",
}
@InProceedings{Kersten:2013:HSG,
author = "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
A. M. Verbovetsky and R. Vitolo",
title = "{Hamiltonian} structures for general {PDEs}",
crossref = "Kruglikov:2013:DEG",
pages = "187--198",
year = "2013",
bibdate = "Tue Sep 23 07:28:24 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://xxx.tau.ac.il/pdf/0812.4895",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@TechReport{Melenk:2014:RSM,
author = "Herbert Melenk",
title = "{REDUCE} Symbolic Mode Primer",
type = "Report",
institution = "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik
Berlin",
address = "Takustrasse 7, 14195 Berlin-Dahlem, Germany",
day = "2",
month = may,
year = "2014",
bibdate = "Mon Sep 15 10:05:56 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
URL = "http://reduce-algebra.sourceforge.net/doc/primer.html",
acknowledgement = ack-nhfb,
}
@TechReport{Norman:2014:IR,
author = "Arthur C. Norman and Raffaele Vitolo",
title = "Inside {Reduce}",
type = "Report",
pages = "vi + 65",
institution = "????",
address = "????",
month = sep,
year = "2014",
bibdate = "Mon Sep 15 10:09:46 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "In-progress book manuscript kindly provided to the
bibliographer on 14 September 2014.",
acknowledgement = ack-nhfb,
}
@Article{Parreiras:2014:URC,
author = "S{\'e}rgio O. Parreiras",
title = "Using {Reduce} to Compute {Nash} Equilibria: Classroom
Tools for Game Theory",
journal = j-MATHEMATICA-J,
volume = "16",
number = "??",
pages = "??--??",
month = "????",
year = "2014",
CODEN = "????",
DOI = "http://dx.doi.org/10.3888/tmj.16-3",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
bibdate = "Wed Sep 10 10:37:47 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib;
http://www.math.utah.edu/pub/tex/bib/redextra.bib;
http://www.mathematica-journal.com/issue/v0i0/",
note = "See \cite{Kampas:2005:TUR}.",
URL = "http://www.mathematica-journal.com/2014/03/using-reduce-to-compute-nash-equilibria/",
abstract = "The Karush--Kuhn--Tucker equations (under suitable
conditions) provide necessary and sufficient conditions
for the solution of the problem of maximizing
(minimizing) a concave (convex) function. This article
corrects the program in \cite{Kampas:2005:TUR}, which
computes the solution of Karush--Kuhn--Tucker
equations. Our main goal, however, is to provide a
program to compute the set of all Nash equilibria of a
bimatrix game. The program works well for ``small''
games (i.e. $ 4 \times 4 $ or smaller games); thus, in
particular, it is suitable for constructing classroom
examples and as an additional tool to empower students
in classes using game theory. \ldots{}",
acknowledgement = ack-nhfb,
}
@InProceedings{Petrov:2014:CPS,
author = "A. B. Petrov and R. Z. Bachtizin and S. S. Ghots",
booktitle = "{2014 International Conference on Computer
Technologies in Physical and Engineering Applications
(ICCTPEA)}",
title = "Calculation of phonon spectra for one-dimensional
chains using computer algebra system {Reduce}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "137--138",
month = jun,
year = "2014",
DOI = "http://dx.doi.org/10.1109/ICCTPEA.2014.6893323",
ISBN = "1-4799-5315-6",
ISBN-13 = "978-1-4799-5315-8",
bibdate = "Sat Sep 13 17:04:29 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Algebra; Atomic measurements; Computers; Dispersion;
Educational institutions; Phonons; Programming",
}
%%% ====================================================================
%%% Cross-referenced entries must come last:
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booktitle = "Interactive systems for experimental applied
mathematics",
title = "Interactive systems for experimental applied
mathematics",
publisher = pub-AP,
address = pub-AP:adr,
pages = "xiv + 472",
year = "1968",
LCCN = "QA76.5.A1 A2 1967",
bibdate = "Wed Apr 10 06:14:20 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "ACM Symposium on Interactive Systems for Experimental
Mathematics. Washington, DC, USA",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Proceedings{Visconti:1973:TIC,
editor = "A. Visconti",
booktitle = "Third International Colloquium on Advanced Computing
Methods in Theoretical Physics: Marseille, June 25--29,
1973",
title = "Third International Colloquium on Advanced Computing
Methods in Theoretical Physics: Marseille, June 25--29,
1973",
publisher = "Centre de physique theorique, C.N.R.S.",
address = "Marseille, France",
pages = "ii + 364",
year = "1973",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
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conflocation = "Marseille, France; 25--29 June 1973",
}
@Proceedings{Jenks:1976:SPA,
editor = "Richard D. Jenks",
booktitle = "Symsac '76: proceedings of the 1976 ACM Symposium on
Symbolic and Algebraic Computation, August 10--12,
1976, Yorktown Heights, New York",
title = "Symsac '76: proceedings of the 1976 {ACM} Symposium on
Symbolic and Algebraic Computation, August 10--12,
1976, Yorktown Heights, New York",
publisher = pub-AP,
address = pub-AP:adr,
pages = "384",
year = "1976",
LCCN = "QA155.7.E4 .A15 1976",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
price = "US\$20.00",
xxISBN = "none",
acknowledgement = ack-nhfb,
}
@Proceedings{IEEE:1978:MPA,
editor = "{IEEE}",
booktitle = "Micro 11: proceedings: the 11th annual
Microprogramming Workshop, November 19--22, 1978,
Asilomar Conference Ground, Pacific Grove, California",
title = "Micro 11: proceedings: the 11th annual
Microprogramming Workshop, November 19--22, 1978,
Asilomar Conference Ground, Pacific Grove, California",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "160",
year = "1978",
ISBN = "",
ISBN-13 = "",
ISSN = "0194-1895",
LCCN = "QA76.6 .W69a",
bibdate = "Fri Mar 28 22:02:58 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Catalog number 78 CH1411-8.",
acknowledgement = ack-nhfb,
}
@Proceedings{Ng:1979:SAC,
editor = "Edward W. Ng",
booktitle = "Symbolic and algebraic computation: {EUROSAM} '79, an
International Symposium on Symbolic and Algebraic
Manipulation, Marseille, France, June 1979",
title = "Symbolic and algebraic computation: {EUROSAM} '79, an
International Symposium on Symbolic and Algebraic
Manipulation, Marseille, France, June 1979",
volume = "72",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 557",
year = "1979",
ISBN = "0-387-09519-5",
ISBN-13 = "978-0-387-09519-6",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA155.7.E4 E88 1979",
bibdate = "Wed Feb 14 06:00:56 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
keywords = "algebra --- data processing --- congresses",
}
@Proceedings{Buchberger:1985:PEE,
editor = "Bruno Buchberger and Bob F. Caviness",
booktitle = "Proceedings: {EUROCAL} '85, European Conference on
Computer Algebra, Linz, Austria, April 1--3, 1985",
title = "Proceedings: {EUROCAL} '85, European Conference on
Computer Algebra, Linz, Austria, April 1--3, 1985",
volume = "203, 204",
publisher = pub-SV,
address = pub-SV:adr,
pages = "iv + 233 + xvi + 650",
year = "1985",
CODEN = "LNCSD9",
ISBN = "0-387-15983-5 (v. 1), 0-387-15984-3 (v. 2)",
ISBN-13 = "978-0-387-15983-6 (v. 1), 978-0-387-15984-3 (v. 2)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA155.7.E4 E85 1985",
bibdate = "Fri Apr 12 07:14:49 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Vol. 2 edited by: Bob F. Caviness. ``Jointly organized
by the ACM Special Interest Group on Symbolic and
Algebraic Manipulation (SIGSAM) and by the Symbolic and
Algebraic Manipulation Group in Europe (SAME)''--Vol.
2, pref. Contents: v. 1. Invited lectures --- v. 2.
Research contributions.",
series = ser-LNCS,
acknowledgement = ack-nhfb,
keywords = "algebra --- data processing --- congresses",
}
@Proceedings{Anonymous:1988:EPT,
editor = "Anonymous",
booktitle = "ESPRIT '88: putting the technology to use: proceedings
of the 5th Annual ESPRIT Conference, Brussels, November
14--17, 1988",
title = "{ESPRIT} '88: putting the technology to use:
proceedings of the 5th Annual {ESPRIT} Conference,
Brussels, November 14--17, 1988",
publisher = pub-NH,
address = pub-NH:adr,
pages = "xxiii + 1759",
year = "1988",
ISBN = "0-444-87145-4",
ISBN-13 = "978-0-444-87145-9",
LCCN = "QA75.5 .E84 1988",
bibdate = "Fri Mar 28 21:54:41 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Two volumes.",
acknowledgement = ack-nhfb,
conflocation = "Brussels, Belgium; 14--17 Nov. 1988",
}
@Proceedings{Davenport:1989:EEC,
editor = "James Harold Davenport",
booktitle = "{EUROCAL} '87: European Conference on Computer
Algebra, Leipzig, {GDR}, June 2--5, 1987: proceedings",
title = "{EUROCAL} '87: European Conference on Computer
Algebra, Leipzig, {GDR}, June 2--5, 1987: proceedings",
volume = "378",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 499",
year = "1989",
CODEN = "LNCSD9",
ISBN = "0-387-51517-8 (New York), 3-540-51517-8 (Berlin)",
ISBN-13 = "978-0-387-51517-5 (New York), 978-3-540-51517-3
(Berlin)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA155.7.E4 E861 1987",
bibdate = "Fri Apr 12 07:14:51 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
price = "US\$39.40",
series = ser-LNCS,
acknowledgement = ack-nhfb,
keywords = "algebra --- data processing --- congresses",
}
@Proceedings{Gianni:1989:SAC,
editor = "P. (Patrizia) Gianni",
booktitle = "Symbolic and algebraic computation: International
Symposium ISSAC '88, Rome, Italy, July 4--8, 1988:
proceedings",
title = "Symbolic and algebraic computation: International
Symposium {ISSAC} '88, Rome, Italy, July 4--8, 1988:
proceedings",
volume = "358",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 543",
year = "1989",
ISBN = "3-540-51084-2",
ISBN-13 = "978-3-540-51084-0",
LCCN = "QA76.95 .I571 1988",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "Conference held jointly with AAECC-6.",
series = ser-LNCS,
abstract = "The following topics were dealt with: differential
algebra; applications; Gr{\"o}bner bases; differential
equations; algorithmic number theory; algebraic
geometry; computational geometry; computational logic;
systems; and arithmetic.",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C4100 (Numerical analysis); C7310
(Mathematics)",
confdate = "4--8 July 1988",
conflocation = "Rome, Italy",
keywords = "Differential algebra; Applications; Gr{\"o}bner bases;
Differential equations; Algorithmic number theory;
Algebraic geometry; Computational geometry;
Computational logic; Systems; Arithmetic",
pubcountry = "West Germany",
thesaurus = "Algebra; Computational geometry; Differential
equations; Formal logic; Mathematics computing; Theorem
proving",
}
@Proceedings{Gonnet:1989:PAI,
editor = "Gaston H. Gonnet",
booktitle = "Proceedings of the ACM-SIGSAM 1989 International
Symposium on Symbolic and Algebraic Computation: ISSAC
'89 / July 17--19, 1989, Portland, Oregon",
title = "Proceedings of the {ACM}-{SIGSAM} 1989 International
Symposium on Symbolic and Algebraic Computation:
{ISSAC} '89 / July 17--19, 1989, Portland, Oregon",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "399",
year = "1989",
ISBN = "0-89791-325-6",
ISBN-13 = "978-0-89791-325-6",
LCCN = "QA76.95.I59 1989",
bibdate = "Thu Sep 26 06:21:35 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "ACM order number: 505890. English and French.",
price = "US\$29.00",
acknowledgement = ack-nhfb,
classification = "C1110 (Algebra); C1120 (Analysis); C4100 (Numerical
analysis); C4200 (Computer theory); C7310
(Mathematics)",
confdate = "17--19 July 1989",
conflocation = "Portland, OR, USA",
confsponsor = "ACM",
keywords = "AIPI; algebra -- data processing -- congresses;
Buchberger algorithm; Code optimization; computational
complexity -- congresses; Curves; Defect; Derivations;
Differential equations; Education; Factorization;
Fourier series; Functional equivalence; Functions;
GENCRAY; Geometry; Integration; IRENA; Knuth--Bendix
procedure; Las Vegas primality test; Linear difference
equations; Lockup tables; MACSYMA; Matrix algebra;
MINION; Nonlinear equations; Normal forms; P-adic
approximations; Pad{\'e}--Hermite Forms; Parallel
algorithms; Polynomials; Rational mappings; REDUCE;
Rewriting systems; Root isolation; Series solutions;
Stability; Sturm-Habicht sequence; Symbolic algebra;
Theorem proving, mathematics -- data processing --
congresses; Triangle inequalities",
pubcountry = "USA",
thesaurus = "Algebra; Computation theory; Functions; Mathematics
computing; Numerical analysis; Series [mathematics];
Symbol manipulation",
}
@Proceedings{Mora:1989:AAA,
editor = "T. Mora",
booktitle = "Applied Algebra, Algebraic Algorithms and
Error-Correcting Codes. 6th International Conference,
AAECC-6. Proceedings",
title = "Applied Algebra, Algebraic Algorithms and
Error-Correcting Codes. 6th International Conference,
{AAECC}-6. Proceedings",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 480",
year = "1989",
ISBN = "3-540-51083-4",
ISBN-13 = "978-3-540-51083-3",
LCCN = "????",
bibdate = "Fri Mar 28 21:47:38 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Watanabe:1990:IPI,
editor = "Shunro Watanabe and Morio Nagata",
booktitle = "ISSAC '90: proceedings of the International Symposium
on Symbolic and Algebraic Computation: August 20--24,
1990, Tokyo, Japan",
title = "{ISSAC} '90: proceedings of the International
Symposium on Symbolic and Algebraic Computation: August
20--24, 1990, Tokyo, Japan",
publisher = pub-ACM # " and " # pub-AW,
address = pub-ACM:adr # " and " # pub-AW:adr,
pages = "ix + 307",
year = "1990",
ISBN = "0-89791-401-5 (ACM), 0-201-54892-5 (Addison-Wesley)",
ISBN-13 = "978-0-89791-401-7 (ACM), 978-0-201-54892-1
(Addison-Wesley)",
LCCN = "QA76.95 .I57 1990",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The following topics were dealt with: foundations of
symbolic computation; computational logics; systems;
algorithms on polynomials; integration and differential
equations; and algorithms on geometry.",
acknowledgement = ack-nhfb,
classification = "C4210 (Formal logic); C4240 (Programming and
algorithm theory)",
confdate = "20--24 Aug. 1990",
conflocation = "Tokyo, Japan",
confsponsor = "Inf. Processing Soc. Japan; Japan Soc. Software Sci.
Technol.; ACM",
keywords = "algebra -- data processing -- congresses; Algorithms;
Computational geometry; Computational logics;
Differential equations; Geometry; Integration;
mathematics -- data processing -- congresses;
Polynomials; Symbolic computation; Systems",
pubcountry = "USA",
thesaurus = "Algorithm theory; Computational geometry; Formal
logic; Symbol manipulation",
}
@Proceedings{MacCallum:1991:ACR,
editor = "Malcolm A. H. MacCallum and Francis J. Wright",
booktitle = "Algebraic computing with REDUCE: lecture notes from
the First Brazilian School on Computer Algebra",
title = "Algebraic computing with {REDUCE}: lecture notes from
the First Brazilian School on Computer Algebra",
publisher = pub-CP,
address = pub-CP:adr,
pages = "xx + 294",
year = "1991",
ISBN = "0-19-853444-2, 0-19-853443-4 (paperback)",
ISBN-13 = "978-0-19-853444-0, 978-0-19-853443-3 (paperback)",
LCCN = "QA155.7.E4 B73 1989",
bibdate = "Wed Apr 10 06:11:24 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
Theory/Comp.Alg.bib; Theory/reduce.bib;
Typesetting/texbook2.bib",
note = prep-latex,
}
@Proceedings{Watt:1991:IPI,
editor = "Stephen M. Watt",
booktitle = "ISSAC '91: proceedings of the 1991 International
Symposium on Symbolic and Algebraic Computation, July
15--17, 1991, Bonn, Germany",
title = "{ISSAC} '91: proceedings of the 1991 International
Symposium on Symbolic and Algebraic Computation, July
15--17, 1991, Bonn, Germany",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "xiii + 468",
year = "1991",
ISBN = "0-89791-437-6",
ISBN-13 = "978-0-89791-437-6",
LCCN = "QA 76.95 I59 1991",
bibdate = "Thu Sep 26 06:00:06 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
abstract = "The following topics were dealt with: algorithms for
symbolic mathematical computation; languages, systems
and packages; computational geometry, group theory and
number theory; automatic theorem proving and
programming; interface of symbolics, numerics and
graphics; applications in mathematics, science and
engineering; and symbolic and algebraic computation in
education.",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4130
(Interpolation and function approximation); C4210
(Formal logic); C4240 (Programming and algorithm
theory); C7310 (Mathematics)",
confdate = "15--17 July 1991",
conflocation = "Bonn, Germany",
confsponsor = "ACM",
keywords = "algebra -- data processing -- congresses; Algebraic
computation; Algorithms; Automatic theorem proving;
Computational geometry; Education; Engineering;
Graphics; Group theory; Languages; Mathematics;
mathematics -- data processing -- congresses; Number
theory; Programming; Science; Symbolic mathematical
computation; Symbolics",
pubcountry = "USA",
thesaurus = "Computational complexity; Formal languages;
Interpolation; Number theory; Polynomials; Symbol
manipulation",
}
@Proceedings{Houstis:1992:AIE,
editor = "Elias N. Houstis and John R. Rice",
booktitle = "Artificial intelligence, expert systems, and symbolic
computing: selected and revised papers from the IMACS
13th World Congress, Dublin, Ireland, July 1991",
title = "Artificial intelligence, expert systems, and symbolic
computing: selected and revised papers from the {IMACS}
13th World Congress, Dublin, Ireland, July 1991",
publisher = pub-NH,
address = pub-NH:adr,
pages = "xii + 458",
year = "1992",
ISBN = "0-444-89703-8",
ISBN-13 = "978-0-444-89703-9",
LCCN = "Q334 .I45 1991",
bibdate = "Fri Mar 28 21:48:58 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Noye:1992:CTA,
editor = "John Noye and Basil Benjamin and Len Colgan",
booktitle = "Computational techniques and applications: proceedings
of 5th International Computational Techniques and
Applications Conference, held at The University of
Adelaide, 14--17 July, 1991",
title = "Computational techniques and applications: proceedings
of 5th International Computational Techniques and
Applications Conference, held at The University of
Adelaide, 14--17 July, 1991",
publisher = "Australian Mathematics Society",
address = "Adelaide, South Australia, Australia",
pages = "466",
year = "1992",
ISBN = "0-86396-172-X",
ISBN-13 = "978-0-86396-172-4",
LCCN = "????",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = "Computational Techniques and Applications",
acknowledgement = ack-nhfb,
sponsor = "Australian Mathematical Society; Applied Mathematics
Division; Computational Mathematics Group.",
}
@Proceedings{Bronstein:1993:IPI,
editor = "Manuel Bronstein",
booktitle = "ISSAC'93: proceedings of the 1993 International
Symposium on Symbolic and Algebraic Computation, July
6--8, 1993, Kiev, Ukraine",
title = "{ISSAC}'93: proceedings of the 1993 International
Symposium on Symbolic and Algebraic Computation, July
6--8, 1993, Kiev, Ukraine",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "viii + 321",
year = "1993",
ISBN = "0-89791-604-2",
ISBN-13 = "978-0-89791-604-2",
LCCN = "QA 76.95 I59 1993",
bibdate = "Thu Sep 26 05:45:15 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
note = "ACM order number: 505930.",
abstract = "The following topics were dealt with: algebraic
solutions of equations; computer algebra systems;
algorithm theory and complexity; automated theorem
proving; polynomials; and matrix algebra.",
acknowledgement = ack-nhfb,
classification = "C4210 (Formal logic); C4240 (Programming and
algorithm theory); C7310 (Mathematics computing)",
confdate = "6--8 July 1993",
conflocation = "Kiev, Ukraine",
confsponsor = "ACM",
keywords = "algebra -- data processing -- congresses; Algorithm
theory; Automated theorem proving; Complexity; Computer
algebra; mathematics -- data processing -- congresses;
Matrix algebra; Polynomials",
pubcountry = "USA",
searchkey = "cn:issac",
source = "ISSAC '93",
sponsor = "Association for Computing Machinery.",
thesaurus = "Computational complexity; Mathematics computing;
Matrix algebra; Polynomials; Symbol manipulation;
Theorem proving",
}
@Proceedings{DeGroot:1993:PCP,
editor = "Robert A. {De Groot} and Jaroslav Nadrchal",
booktitle = "Physics computing '92: proceedings of the 4th
international conference, Prague, Czechoslovakia,
August 24--28, 1992",
title = "Physics computing '92: proceedings of the 4th
international conference, Prague, Czechoslovakia,
August 24--28, 1992",
publisher = "World Scientific Publishing",
address = "Singapore",
pages = "xix + 517",
year = "1993",
ISBN = "981-02-1245-3",
ISBN-13 = "978-981-02-1245-2",
LCCN = "QC19.2.I53 1992",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = "Physics Computing --- International Conference",
acknowledgement = ack-nhfb,
sponsor = "European Physical Society; Computational Physics
Group. Czechoslovak Union of Mathematicians and
Physicists; Physical Scientific Section.",
}
@Proceedings{Fitch:1993:DIS,
editor = "John Fitch",
booktitle = "Design and implementation of symbolic computation
systems: International Symposium, {DISCO} '92, Bath,
UK, April 13--15, 1992: proceedings",
title = "Design and implementation of symbolic computation
systems: International Symposium, {DISCO} '92, Bath,
{UK}, April 13--15, 1992: proceedings",
volume = "721",
publisher = pub-SV,
address = pub-SV:adr,
pages = "214",
year = "1993",
CODEN = "LNCSD9",
ISBN = "3-540-57272-4 (Berlin), 0-387-57272-4 (New York)",
ISBN-13 = "978-3-540-57272-5 (Berlin), 978-0-387-57272-7 (New
York)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA76.9.S88 I576 1992",
bibdate = "Fri Apr 12 07:14:59 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
keywords = "mathematics --- data processing --- congresses;
numerical analysis --- data processing --- congresses;
system design --- congresses",
xxvolume = "4004274589",
}
@Proceedings{ACM:1994:IPI,
editor = "{ACM}",
booktitle = "ISSAC'94. Proceedings of the International Symposium
on Symbolic and Algebraic Computation",
title = "{ISSAC}'94. Proceedings of the International Symposium
on Symbolic and Algebraic Computation",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "ix + 359",
year = "1994",
ISBN = "0-89791-638-7",
ISBN-13 = "978-0-89791-638-7",
LCCN = "QA76.95.I59 1994",
bibdate = "Thu Sep 26 05:45:15 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
confdate = "20--22 July 1994",
conflocation = "Oxford, UK",
confsponsor = "ACM",
pubcountry = "USA",
}
@Proceedings{Calmet:1994:RWC,
editor = "J. Calmet",
booktitle = "Rhine workshop on computer algebra: March 22--24,
1994, Karlsruhe, Germany",
title = "Rhine workshop on computer algebra: March 22--24,
1994, Karlsruhe, Germany",
publisher = "Universit{\"{a}}t Karlsruhe",
address = "Karlsruhe, Germany",
pages = "v + 224",
year = "1994",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
sponsor = "University of Karlsruhe. Faculty of Informatics.
Institute of Algorithms and Cognitive Systems",
}
@Proceedings{Gruber:1994:PJE,
editor = "Ralf Gruber and Marco Tomassini",
booktitle = "Proceedings of the 6th Joint EPS-APS International
Conference on Physics Computing: Physics Computing '94,
Palazzo dei Congressi, Lugano, Switzerland, 22--26
August 1994",
title = "Proceedings of the 6th Joint {EPS}-{APS} International
Conference on Physics Computing: Physics Computing '94,
Palazzo dei Congressi, Lugano, Switzerland, 22--26
August 1994",
publisher = "European Physical Society",
address = "Geneva, Switzerland",
pages = "xvii + 730",
year = "1994",
ISBN = "2-88270-011-3",
ISBN-13 = "978-2-88270-011-7",
LCCN = "QC20.7.E4I58 1994",
bibdate = "Fri Mar 28 22:05:19 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{MacCallum:1994:ACG,
editor = "M. A. H. MacCallum and others",
booktitle = "Algebraic computing in general relativity: lecture
notes from the First Brazilian School on Computer
Algebra, Rio de Janeiro, Brazil",
title = "Algebraic computing in general relativity: lecture
notes from the First Brazilian School on Computer
Algebra, Rio de Janeiro, Brazil",
volume = "2",
publisher = pub-CP,
address = pub-CP:adr,
pages = "xv + 377",
year = "1994",
ISBN = "0-19-853646-1",
ISBN-13 = "978-0-19-853646-8",
LCCN = "QC173.6.B73 1989",
bibdate = "Tue Apr 9 18:05:28 MDT 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
price = "US\$45.00",
series = "Lecture notes from the First Brazilian School on
Computer Algebra",
acknowledgement = ack-nhfb,
keywords = "Congresses; Data processing; General relativity
(Physics)",
}
@Proceedings{Calmet:1996:DIS,
editor = "Jacques Calmet and Carla Limongelli",
booktitle = "Design and implementation of symbolic computation
systems: International Symposium, {DISCO} '96,
Karlsruhe, Germany, September 18--20, 1996:
proceedings",
title = "Design and implementation of symbolic computation
systems: International Symposium, {DISCO} '96,
Karlsruhe, Germany, September 18--20, 1996:
proceedings",
volume = "1128",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix + 356",
year = "1996",
ISBN = "3-540-61697-7 (softcover)",
ISBN-13 = "978-3-540-61697-9 (softcover)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA76.9.S88I576 1996",
bibdate = "Sat Dec 21 16:06:37 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
keywords = "Automatic theorem proving --- Congresses.; Mathematics
--- Data processing --- Congresses.; System design ---
Congresses.",
}
@Proceedings{Hehl:1996:RSC,
editor = "F. W. (Friedrich W.) Hehl and R. A. (Roland A.)
Puntigam and H. (Hanns) Ruder",
booktitle = "Relativity and scientific computing: Computer algebra,
numerics, visualization",
title = "Relativity and scientific computing: Computer algebra,
numerics, visualization",
publisher = pub-SV,
address = pub-SV:adr,
pages = "408",
year = "1996",
ISBN = "3-540-60361-1",
ISBN-13 = "978-3-540-60361-0",
LCCN = "QC173.55 .R445 1996",
bibdate = "Fri Mar 28 22:07:07 1997",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Hanzon:2006:CAS,
editor = "Bernard Hanzon and Michiel Hazewinkel",
booktitle = "Proceedings of the colloquium held in {Amsterdam,
November 2000}",
title = "Constructive algebra and systems theory",
volume = "53",
publisher = "Royal Netherlands Academy of Arts and Sciences",
address = "Amsterdam, The Netherlands",
pages = "vi + 356",
year = "2006",
ISBN = "90-6984-477-X",
ISBN-13 = "978-90-6984-477-0",
MRclass = "00B15 (12-06 13-06 14-06 68-06 93-06)",
MRnumber = "2391487 (2008k:00005)",
bibdate = "Tue Sep 23 07:40:19 2014",
bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
series = "Verhandelingen, Afdeling Natuurkunde. Eerste Reeks.
Koninklijke Nederlandse Akademie van Wetenschappen
[Proceedings, Physics Section. Series 1. Royal
Netherlands Academy of Arts and Sciences]",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}
@Proceedings{Kruglikov:2013:DEG,
editor = "Boris Kruglikov and Valentin Lychagin and Eldar
Straume",
booktitle = "{Differential Equations --- Geometry, Symmetries and
Integrability: The Abel Symposium 2008}",
title = "{Differential Equations --- Geometry, Symmetries and
Integrability: The Abel Symposium 2008}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 386",
year = "2012",
ISBN = "3-642-26933-8",
ISBN-13 = "978-3-642-26933-2",
LCCN = "????",
bibdate = "Tue Sep 23 07:26:47 MDT 2014",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/tex/bib/redextra.bib",
acknowledgement = ack-nhfb,
keywords = "Maybe Reduce algebra system",
}