%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.29", %%% date = "14 October 2017", %%% time = "10:24:48 MDT", %%% 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 = "48394 11549 50325 506165", %%% 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 2.29, 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 ( 4) %%% 1973 ( 4) 1989 ( 52) 2005 ( 3) %%% 1974 ( 3) 1990 ( 30) 2006 ( 2) %%% 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 ( 5) %%% %%% Article: 202 %%% Book: 18 %%% InCollection: 8 %%% InProceedings: 104 %%% Manual: 4 %%% MastersThesis: 2 %%% Misc: 2 %%% Proceedings: 27 %%% TechReport: 69 %%% Unpublished: 1 %%% %%% Total entries: 437 %%% %%% This bibliography has been collected from %%% bibliographies in the author's personal %%% files, from several OCLC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 <at>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"} @String{j-ACTA-APPL-MATH= "Acta Applicandae Mathematicae"} @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 Physics}"} @String{j-GEN-RELATIVITY-GRAV= "General relativity and gravitation"} @String{j-IEEE-SOFTWARE= "IEEE Software"} @String{j-IEEE-TRANS-POWER-SYSTEMS= "IEEE Transactions on Power Systems"} @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"} @String{j-SIGPLAN= "ACM SIG{\-}PLAN Notices"} @String{j-SIGSAM= "SIGSAM Bulletin"} @String{j-TEORET-MATH-FIZ= "Teoreticheskaya i Matematicheskaya Fizika"} @String{j-TOMS= "ACM Transactions on Mathematical Software"}

%%% ==================================================================== %%% Preparation details:

@String{prep-latex= "Prepared with{\LaTeX}."}

%%% ==================================================================== %%% Publishers and their addresses:

@String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-AP= "Academic Press"} @String{pub-AP:adr= "New York, NY, USA"} @String{pub-AW= "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr= "Reading, MA, USA"} @String{pub-BI-WISS= "BI-Wissenschaftsverlag"} @String{pub-BI-WISS:adr= "Mannheim, Germany; Wien, Austria; Z{\"u}rich, Switzerland"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-CP= "Clarendon Press"} @String{pub-CP:adr= "Oxford, UK"} @String{pub-CUP= "Cambridge University Press"} @String{pub-CUP:adr= "Cambridge, UK"} @String{pub-IEE= "IEE"} @String{pub-IEE:adr= "London, UK"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-IMACS= "IMACS"} @String{pub-IMACS:adr= "Department of Computer Science, Rutgers University, New Brunswick, NJ, USA"} @String{pub-KLUWER= "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr= "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-BIBLIO-INST= "Bibliographisches Institut"} @String{pub-BIBLIO-INST:adr= "Mannheim, Germany"} @String{pub-NH= "North-Hol{\-}land"} @String{pub-NH:adr= "Amsterdam, The Netherlands"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WORLD-SCI= "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr= "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"}

%%% ==================================================================== %%% 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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 $} supersymmetric {KdV} equation", publisher = "????", address = "????", pages = "817--818", year = "2003", bibdate = "Tue Sep 23 07:41:44 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib", acknowledgement = ack-nhfb, keywords = "Maybe Reduce algebra system", } @Article{Vulcanov:2003:CDE, author = "Dumitru N. Vulcanov", title = "Calculation of the {Dirac} equation in curved spacetimes with possible torsion using {MAPLE} and {REDUCE}", journal = j-COMP-PHYS-COMM, volume = "154", number = "3", pages = "205--218", year = "2003", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/S0010-4655(03)00344-8", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", MRclass = "83-04 (81T20 81T80 83C60)", MRnumber = "MR2002212 (2004g:83001)", bibdate = "Sat Sep 13 16:02:50 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib; http://www.math.utah.edu/pub/tex/bib/redextra.bib", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "Reduce computer-algebra system", } @Article{Kersten:2004:HOC, author = "P. Kersten and I. Krasil{\cprime}shchik and A. Verbovetsky", title = "{Hamiltonian} operators and {$ \ell^* $}-coverings", journal = j-J-GEOM-PHYS, volume = "50", number = "1--4", pages = "273--302", year = "2004", CODEN = "JGPHE5", DOI = "https://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 = "https://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 = "https://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", } @Book{Grozin:2005:URH, author = "A. G. Grozin", title = "Using {REDUCE} in high energy physics", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xiii + 384", year = "2005", ISBN = "0-521-01952-4 (paperback)", ISBN-13 = "978-0-521-01952-1 (paperback)", LCCN = "QC793.3.H5 G76 2005", bibdate = "Mon Sep 4 10:47:00 MDT 2017", bibsource = "http://www.math.utah.edu/pub/tex/bib/redbooks.bib; http://www.math.utah.edu/pub/tex/bib/redextra.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0632/2006272924-d.html; http://www.loc.gov/catdir/enhancements/fy0632/2006272924-t.html", acknowledgement = ack-nhfb, remark = "Originally published in \cite{Grozin:1997:URH}.", subject = "Particles (Nuclear physics); Data processing; REDUCE", } @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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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 = "https://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:

@Proceedings{Klerer:1968:ISE, editor = "Melvin Klerer and Juris Reinfelds", 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 = "????", bibdate = "Fri Mar 28 21:46:06 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/redextra.bib", note = "Two volumes.", acknowledgement = ack-nhfb, 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", }