%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "2.24",
%%%     date            = "07 October 2014",
%%%     time            = "07:11:34 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        = "57089 11527 50247 505224",
%%%     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 2.24, the year coverage looked
%%%                        like this:
%%%
%%%                             1967 (   1)    1983 (  14)    1999 (   0)
%%%                             1968 (   2)    1984 (   5)    2000 (   4)
%%%                             1969 (   1)    1985 (  28)    2001 (   0)
%%%                             1970 (   0)    1986 (  16)    2002 (   7)
%%%                             1971 (   1)    1987 (  23)    2003 (   7)
%%%                             1972 (   4)    1988 (  31)    2004 (   5)
%%%                             1973 (   4)    1989 (  52)    2005 (   2)
%%%                             1974 (   3)    1990 (  30)    2006 (   3)
%%%                             1975 (   2)    1991 (  38)    2007 (   0)
%%%                             1976 (   5)    1992 (  21)    2008 (   1)
%%%                             1977 (   5)    1993 (  27)    2009 (   1)
%%%                             1978 (   6)    1994 (  15)    2010 (   1)
%%%                             1979 (   9)    1995 (  10)    2011 (   0)
%%%                             1980 (   7)    1996 (   9)    2012 (   2)
%%%                             1981 (   8)    1997 (   3)    2013 (   2)
%%%                             1982 (   9)    1998 (   2)    2014 (   4)
%%%                             19xx (   6)
%%%
%%%                             Article:        202
%%%                             Book:            17
%%%                             InCollection:     8
%%%                             InProceedings:  104
%%%                             Manual:           4
%%%                             MastersThesis:    2
%%%                             Misc:             2
%%%                             Proceedings:     27
%%%                             TechReport:      69
%%%                             Unpublished:      1
%%%
%%%                             Total entries:  436
%%%
%%%                        This bibliography has been collected from
%%%                        bibliographies in the author's personal
%%%                        files, from several OCLC databases,
%%%                        from the IEEE INSPEC database (1973--1996),
%%%                        from the computer graphics bibliography
%%%                        archive at ftp.siggraph.org, and from the
%%%                        computer science bibliography collection on
%%%                        ftp.ira.uka.de in /pub/bibliography to
%%%                        which many people of have contributed.  The
%%%                        snapshot of this collection was taken on
%%%                        5-May-1994, and it consists of 441 BibTeX
%%%                        files, 2,672,675 lines, 205,289 entries,
%%%                        and 6,375 <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-COMP-APPL-MATH      = "J. Comput. Appl. Math."}

@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 =          "http://dx.doi.org/10.1016/0010-4655(72)90008-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1970.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "A brief survey of two existing {REDUCE} programs (by
                 Campbell-Hearn and by Calmet) dealing with algebraic
                 computation of {Feynman} diagrams is given. Work in
                 progress on a more general approach to this problem is
                 discussed.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Hearn:1972:R,
  author =       "A. C. Hearn",
  title =        "{REDUCE}",
  journal =      j-SIGSAM,
  volume =       "??",
  number =       "??",
  pages =        "14--15",
  month =        oct,
  year =         "1972",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:53 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "24",
}

@Article{Hearn:1972:RSP,
  author =       "Anthony C. Hearn",
  title =        "A {REDUCE} Solution of Problem \#2 --- The {Y(2n)}
                 Functions",
  journal =      j-SIGSAM,
  volume =       "14",
  year =         "1972",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  abstract =     "A {REDUCE} solution to {SIGSAM} Problem \#2 is
                 described.",
  annote =       "A REDUCE solution to SIGSAM Problem \#2 is
                 described.",
  fjournal =     "SIGSAM Bulletin",
}

@Article{Loos:1972:ATT,
  author =       "R{\"u}diger Loos",
  title =        "Analytic treatment of three similar {Fredholm}
                 integral equations of the second kind with {Reduce 2}",
  journal =      j-SIGSAM,
  volume =       "??",
  number =       "??",
  pages =        "32--40",
  month =        jan,
  year =         "1972",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:53 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "21",
}

@Article{Fitch:1973:PRM,
  author =       "John Fitch",
  title =        "Problems \#3 and \#4 in {REDUCE} and {MACSYMA}",
  journal =      j-SIGSAM,
  volume =       "??",
  number =       "??",
  pages =        "10--11",
  month =        dec,
  year =         "1973",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:53 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib",
  abstract =     "The algebra systems {REDUCE} and {MACSYMA} are used to
                 solve {SIGSAM} Problem \#3, the Reversion of a Double
                 Series, and {SIGSAM} Problem \#4, the Lie Transform
                 Solution of the Harmonic Oscillator.",
  acknowledgement = ack-nhfb,
  annote =       "The algebra systems REDUCE and MACSYMA are used to
                 solve SIGSAM Problem \#3, the Reversion of a Double
                 Series, and SIGSAM Problem \#4, the Lie Transform
                 Solution of the Harmonic Oscillator.",
  fjournal =     "SIGSAM Bulletin",
  issue =        "28",
  keywords =     "Reduce",
}

@InProceedings{Hearn:1973:RPC,
  author =       "A. C. Hearn",
  title =        "The {REDUCE} program for computer algebra",
  crossref =     "Visconti:1973:TIC",
  volume =       "I",
  pages =        "AV/1--AV/19",
  year =         "1973",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0270 (Computational techniques); C6140D (High level
                 languages); C7310 (Mathematics computing)",
  corpsource =   "Univ. Utah, Salt Lake City, UT, USA",
  keywords =     "computational physics; computer algebra; design
                 philosophy; languages; linear algebra; problem
                 oriented; REDUCE program",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Hearn:1973:RUM,
  author =       "Anthony C. Hearn",
  title =        "{REDUCE} 2 User's Manual",
  type =         "Utah Symbolic Computation Group Report",
  number =       "UCP-19",
  institution =  "Department of Computer Science, University of Utah",
  address =      "Salt Lake City, UT, USA",
  month =        mar,
  year =         "1973",
  bibsource =    "/usr/local/src/bib/siggraph/pre75.bib;
                 Graphics/imager/imager.75.bib;
                 Graphics/siggraph/pre75.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "systems",
}

@InProceedings{Griss:1974:ASL,
  author =       "M. L. Griss",
  booktitle =    "Proceedings of ACM 74",
  title =        "The Algebraic Solution of Large Sparse Systems of
                 Linear Equations Using {REDUCE} 2",
  publisher =    "????",
  address =      "????",
  pages =        "105--111",
  year =         "1974",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  abstract =     "This paper discusses some of the problems encountered
                 during the solution of a large system of sparse linear
                 equations with algebraic coefficients, using {REDUCE}
                 2.",
  annote =       "This paper discusses some of the problems encountered
                 during the solution of a large system of sparse linear
                 equations with algebraic coefficients, using REDUCE
                 2.",
  keywords =     "Reduce",
}

@Manual{Hearn:1974:RUM,
  author =       "A. C. Hearn",
  title =        "{REDUCE} 2, Users manual",
  volume =       "UCP-19",
  publisher =    "University of Utah",
  address =      "Salt Lake City, UT, USA",
  year =         "1974",
  bibsource =    "Distributed/QLD.bib; Distributed/QLD/1974.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  country =      "USA",
  date =         "00/00/00",
  descriptors =  "Formula manipulation; LISP; REDUCE;",
  enum =         "1304",
  language =     "English",
  location =     "PKI-OG: Li-Ord.Le",
  references =   "0",
  revision =     "21/04/91",
  town =         "?, Utah",
}

@TechReport{Melenk:1974:FRT,
  author =       "H. Melenk",
  title =        "{Formelmanipulation mit REDUCE auf dem TR 440}",
  type =         "Technical Report",
  institution =  "Grossrechenzentrum f{\"u}r die Wissenschaft in
                 Berlin",
  address =      "Berlin, Germany",
  month =        may,
  year =         "1974",
  bibsource =    "Ai/Ai.misc.bib; Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
}

@InProceedings{Griss:1975:RSC,
  author =       "Martin L. Griss",
  booktitle =    "Proc. ACM 75",
  title =        "The {REDUCE} System for Computer Algebra",
  publisher =    "????",
  address =      "????",
  pages =        "4--5",
  year =         "1975",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  abstract =     "A brief description of {REDUCE} is presented.",
  annote =       "A brief description of REDUCE is presented.",
  keywords =     "Reduce",
}

@TechReport{Kanada:1975:IHA,
  author =       "Y. Kanada",
  title =        "Implementation of {HLISP} and Algebraic Manipulation
                 Language {REDUCE} 2",
  type =         "Report",
  number =       "75-01",
  institution =  "University of Tokyo Information Science Lab",
  address =      "Tokyo, Japan",
  year =         "1975",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@TechReport{Cohen:1976:PCS,
  author =       "I. Cohen and F. Bark",
  title =        "Perturbation Calculations for the Spin Up Problem
                 Using {REDUCE}",
  number =       "TRITA-MEK-76-03",
  institution =  "The Royal Institute of Technology, Department of
                 Mechanics",
  address =      "????",
  year =         "1976",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Gates:1976:NCG,
  author =       "B. L. Gates",
  title =        "A Numerical Code Generation Facility for {REDUCE}",
  crossref =     "Jenks:1976:SPA",
  pages =        "94--99",
  year =         "1976",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib",
}

@InProceedings{Griss:1976:DUD,
  author =       "Martin L. Griss",
  booktitle =    "Proc. of the 1976 ACM Symposium on Symbolic and
                 Algebraic Computation",
  title =        "The Definition and Use of Data-Structures in
                 {REDUCE}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "53--59",
  year =         "1976",
  bibsource =    "Ai/Ai.misc.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  abstract =     "This paper gives a brief description and motivation of
                 the mode analyzing and data-structuring extensions to
                 the algebraic language {REDUCE}.",
  annote =       "This paper gives a brief description and motivation of
                 the mode analyzing and data-structuring extensions to
                 the algebraic language REDUCE.",
  keywords =     "Reduce",
}

@InProceedings{Hearn:1976:NRM,
  author =       "Anthony C. Hearn",
  booktitle =    "Proceedings of the 1976 ACM Symposium on Symbolic and
                 Algebraic Computation",
  title =        "A New {REDUCE} Model for Algebraic Simplification",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "46--52",
  year =         "1976",
  bibsource =    "Ai/Ai.misc.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  abstract =     "This paper shows how the general concepts of mode
                 analysis can play a useful role in the design and
                 implementation of programs for algebraic
                 simplification.",
  annote =       "This paper shows how the general concepts of mode
                 analysis can play a useful role in the design and
                 implementation of programs for algebraic
                 simplification.",
  keywords =     "Reduce",
}

@TechReport{Griss:1977:RST,
  author =       "Martin L. Griss",
  title =        "A {REDUCE} Symbolic-Numeric Tutorial",
  type =         "Utah Symbolic Computation Group Operating Note",
  number =       "UCP-32",
  institution =  "Department of Computer Science, University of Utah",
  address =      "Salt Lake City, UT, USA",
  month =        oct,
  year =         "1977",
  bibsource =    "/usr/local/src/bib/siggraph/77.bib;
                 Graphics/imager/imager.77.bib;
                 Graphics/siggraph/77.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "systems",
}

@Article{Harrington:1977:RSP,
  author =       "S. J. Harrington",
  title =        "{REDUCE} Solution to Problem \#8",
  journal =      j-SIGSAM,
  volume =       "11--12",
  number =       "4--1",
  pages =        "7--8",
  month =        nov # " and " # feb,
  year =         "1977",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:55 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "44/45",
  remark =       "Issue labeled vol. 11, no. 4, November 1977 (issue
                 \#44) and vol. 12, no. 1, February 1978 (issue \#45).",
}

@Unpublished{Harrington:1977:SLE,
  author =       "Steven J. Harrington",
  title =        "A Symbolic Limit Evaluation Program in {REDUCE}",
  year =         "1977",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  note =         "A program for the automatic evaluation of algebraic
                 limits, implemented in {MODE-REDUCE}, is described. The
                 program incorporates many of the techniques previously
                 employed, including the top-down recursive evaluation,
                 power series expansion, and L'Hopital's rule. It also
                 introduces the concept of a special algebraic form for
                 limits.",
}

@Article{Loos:1977:ARN,
  author =       "R{\"u}diger Loos",
  title =        "Abstracts {(REDUCE newsletter 1.1978)}",
  journal =      j-SIGSAM,
  volume =       "11--12",
  number =       "4--1",
  pages =        "86--88",
  month =        nov # " and " # feb,
  year =         "1977",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:55 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "??",
  remark =       "Issue labeled vol. 11, no. 4, November 1977 (issue
                 \#44) and vol. 12, no. 1, February 1978 (issue \#45).",
}

@Article{Stoutemyer:1977:AEA,
  author =       "David R. Stoutemyer",
  title =        "Automatic Error Analysis Using Computer Algebraic
                 Manipulation",
  journal =      j-TOMS,
  volume =       "3",
  number =       "1",
  pages =        "26--43",
  month =        mar,
  year =         "1977",
  CODEN =        "ACMSCU",
  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",
  URL =          "http://doi.acm.org/10.1145/355719.355721",
  abstract =     "This paper shows how the inherent error and the
                 fixed-point or floating-point roundoff of chopoff error
                 of an expression can be determined automatically using
                 a computer algebra language such as {REDUCE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  reviewer =     "R. P. Brent",
}

@TechReport{Bajla:1978:OPP,
  author =       "I. Bajla and G. A. Ososkov and A. C. Hearn",
  title =        "The Orthogonalization Program of Polynomials in Two
                 Variables in {REDUCE-2} Language",
  type =         "Report",
  number =       "P10-11944",
  institution =  "J.I.N.R.",
  address =      "Dubna, USSR",
  year =         "1978",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "The analytical algorithm for constructing orthogonal
                 polynomials in two variables, based on the
                 {Gram--Schmidt} orthogonalization method, is
                 proposed.",
}

@InProceedings{Griss:1978:RAM,
  author =       "Martin L. Griss and Robert R. Kessler",
  booktitle =    "Proc. Micro, {IEEE}",
  title =        "{REDUCE}/1700: a Micro-coded Algebra System",
  volume =       "11",
  publisher =    "????",
  address =      "????",
  pages =        "130--138",
  year =         "1978",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  abstract =     "In this paper, we report on the status of an ongoing
                 project aimed at producing a micro-coded Algebra
                 machine.",
  annote =       "In this paper, we report on the status of an ongoing
                 project aimed at producing a micro-coded Algebra
                 machine.",
  keywords =     "Reduce",
}

@InProceedings{Griss:1978:RMA,
  author =       "M. L. Griss and R. R. Kessler",
  title =        "{REDUCE\slash} 1700: a micro-coded algebra system",
  crossref =     "IEEE:1978:MPA",
  pages =        "130--138",
  year =         "1978",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6140D (High level languages)",
  conflocation = "Pacific Grove, CA, USA; 19--22 Nov. 1978",
  corpsource =   "Computer Sci. Dept., Univ. of Utah, Salt Lake City,
                 UT, USA",
  keywords =     "BIL; bootstrapping; kernel; LISP; LISP machine;
                 microcoded algebra system",
  sponsororg =   "ACM; IEEE",
  treatment =    "A Application; P Practical",
}

@Article{Marti:1978:MRT,
  author =       "Jed Marti",
  title =        "The {META\slash REDUCE} Translator Writing System",
  journal =      j-SIGPLAN,
  volume =       "13",
  pages =        "42--49",
  year =         "1978",
  CODEN =        "SINODQ",
  ISSN =         "0362-1340 (print), 1523-2867 (print), 1558-1160
                 (electronic)",
  ISSN-L =       "0362-1340",
  bibdate =      "Mon Aug 29 17:33:46 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Misc/sigplan.bib; Theory/Comp.Alg.1.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  annote =       "The META/REDUCE translator writing system operates in
                 a LISP and REDUCE syntax. The language supports: {BNF}
                 like syntax, recursive descent parsing schemes, lexical
                 primitives, symbol table primitives, and automatic
                 syntax error message generation.",
  comment =      "The {META/REDUCE} translator writing system operates
                 in a {LISP} and {REDUCE} syntax. The language supports:
                 {BNF} like syntax, recursive descent parsing schemes,
                 lexical primitives, symbol table primitives and
                 automatic syntax error message generation.",
  fjournal =     "ACM SIGPLAN Notices",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J706",
  keywords =     "Reduce",
}

@Article{Norman:1978:TRS,
  author =       "Arthur Norman",
  title =        "Towards a {REDUCE} solution to {SIGSAM} Problem 7",
  journal =      j-SIGSAM,
  volume =       "12",
  number =       "4",
  pages =        "14--18",
  month =        nov,
  year =         "1978",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:56 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "48",
  keywords =     "Reduce",
}

@InProceedings{Dautcourt:1979:ARA,
  author =       "G. Dautcourt",
  booktitle =    "Proc. of the Workshop in Symbolic Computation, Dubna,
                 USSR",
  title =        "Application of {REDUCE} to Algebraic Computations in
                 General Relativity and Astrophysics",
  publisher =    "????",
  address =      "????",
  month =        sep,
  year =         "1979",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "Reports the use of the system {REDUCE} 2 for general
                 relativistic calculations.",
}

@TechReport{Griss:1979:MIS,
  author =       "Martin L. Griss and Robert R. Kessler",
  title =        "A Micro-programmed Implementation of {Standard LISP}
                 and {REDUCE} on the {Burroughs B1700/B1800} Computer",
  type =         "Report",
  institution =  "University of Utah",
  address =      "Salt Lake City, UT, USA",
  month =        feb,
  year =         "1979",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  abstract =     "This paper describes the implementation of a
                 microcoded {LISP} ``machine'' (the MTLISP) for the
                 Burroughs B1700/B1800 computers. This interpreter
                 supports a complete Standard {LISP} and {REDUCE}
                 Algebra system, as well as a variety of experimental
                 {LISP-like} systems.",
  annote =       "This paper describes the implementation of a
                 microcoded LISP ``machine'' (the MTLISP) for the
                 Burroughs B1700/B1800 computers. This interpreter
                 supports a complete Standard LISP and REDUCE Algebra
                 system, as well as a variety of experimental LISP-like
                 systems.",
  keywords =     "Reduce",
}

@Article{Harrington:1979:NSI,
  author =       "Steven J. Harrington",
  title =        "A New Symbolic Integration System in {REDUCE}",
  journal =      j-COMP-J,
  volume =       "22",
  number =       "2",
  pages =        "127--131",
  month =        may,
  year =         "1979",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  annote =       "A new integration system, employing both algorithmic
                 and pattern match integration schemes is presented. The
                 organization of the system differs from that of earlier
                 programs in its emphasis on the algorithmic approach to
                 integration, its modularity, and its ease of revision.
                 The new Norman-Risch algorithm and its implementation
                 at the University of Cambridge are employed,
                 supplemented by a powerful collection of simplification
                 and transformation rules. The facility for user defined
                 integrals and functions is also included. The program
                 is both fast and powerful, and can be easily modified
                 to incorporate anticipated developments in symbolic
                 integration.",
  classification = "723",
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  journalabr =   "Comput J",
  keywords =     "computer programming; Reduce",
  page =         "127-131",
}

@Article{Harrington:1979:SLE,
  author =       "Steven J. Harrington",
  title =        "A Symbolic Limit Evaluation Program in {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "13",
  number =       "1",
  pages =        "27--31",
  month =        feb,
  year =         "1979",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:56 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "49",
  keywords =     "Reduce",
}

@TechReport{Kessler:1979:PPM,
  author =       "R. Kessler",
  title =        "{PMETA} --- Pattern Matching {META}/{REDUCE}",
  type =         "Report",
  number =       "USCG Op. Note No. 40",
  institution =  "Univ. of Utah, CS Dept.",
  address =      "Salt Lake City, UT, USA",
  month =        jan,
  year =         "1979",
  bibsource =    "Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
}

@TechReport{Mohring:1979:SEA,
  author =       "H. J. Mohring and A. Schiller",
  title =        "Some Experience in Applying the Algebraic System
                 {Reduce} to the Calculation of Scattering Processes in
                 {QED} and {QCD}",
  institution =  "????",
  address =      "????",
  pages =        "??",
  year =         "1979",
  bibdate =      "Sat Sep 13 18:06:56 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  slaccitation = "INSPIRE-151117",
}

@InProceedings{Sasaki:1979:APR,
  author =       "Tateaki Sasaki",
  booktitle =    "Proc. {EUROSAM} 1979, Lecture Notes in Computer
                 Science",
  title =        "An Arbitrary Precision Real Arithmetic Package in
                 {REDUCE}",
  crossref =     "Ng:1979:SAC",
  volume =       "72",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "358--368",
  year =         "1979",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  series =       ser-LNCS,
  abstract =     "A {REDUCE} arbitrary precision real arithmetic package
                 is described which will become a part of the kernel of
                 an algebraic-numeric system being developed for
                 {REDUCE}.",
  annote =       "A REDUCE arbitrary precision real arithmetic package
                 is described which will become a part of the kernel of
                 an algebraic-numeric system being developed for
                 REDUCE.",
  keywords =     "Reduce",
}

@Article{Weber:1979:PSR,
  author =       "Lawrence A. Weber and Gerhard Rayna",
  title =        "Problem \#11 Solved in {REDUCE}: a Case Study in
                 Program Translation",
  journal =      j-SIGSAM,
  volume =       "13",
  number =       "4",
  pages =        "21--24",
  month =        nov,
  year =         "1979",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:56 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "52",
  keywords =     "Reduce",
}

@Article{Bajla:1980:ARA,
  author =       "I. Bajla and G. A. Ososkov",
  title =        "Application of {REDUCE-2} algebraic manipulation
                 system in calibration problems of track chamber picture
                 processing devices",
  journal =      j-COMP-PHYS-COMM,
  volume =       "20",
  number =       "1",
  pages =        "81--83",
  month =        sep,
  year =         "1980",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(80)90112-5",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 06:01:18 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465580901125",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@TechReport{Dautcourt:1980:PPR,
  author =       "G. Dautcourt and K. P. Jann",
  title =        "A Program Package in {REDUCE} 2 for Algebraic
                 Computations in General Relativity",
  institution =  "Zentralinstitut f{\"{u}}r Astrophysik der Akademie der
                 Wissenschaften",
  address =      "????",
  year =         "1980",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Grimm:1980:URP,
  author =       "R. Grimm and H. K{\"u}hnelt",
  title =        "Using {REDUCE} in Problems of Supersymmetry and
                 Supergravity",
  journal =      j-COMP-PHYS-COMM,
  volume =       "20",
  pages =        "77",
  year =         "1980",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "Describes how {REDUCE} may be used with advantage in
                 tedious calculations of supersymmetry and
                 supergravity.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@TechReport{Griss:1980:RSL,
  author =       "M. L. Griss and R. R. Kessler",
  title =        "{REDUCE\slash 1800}: Standard {LISP} and {REDUCE} on
                 the {Burroughs B1700\slash B1800} Computer",
  type =         "Report",
  institution =  "Computer Science Department, University of Utah",
  address =      "Salt Lake City, UT, USA",
  month =        jun,
  year =         "1980",
  bibdate =      "Sun Oct 25 11:42:41 1998",
  bibsource =    "Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
}

@TechReport{Haraldsson:1980:RSF,
  author =       "A. Haraldsson",
  title =        "{REDUCE} --- Sprak foer Formelbehandling",
  type =         "Report",
  number =       "1980-02-20",
  institution =  "Link{{\"o}}ping Universit{\"{a}}t, Tekniska
                 H{{\"o}}gskolan, Datalogi",
  address =      "Link{{\"o}}ping",
  month =        feb,
  year =         "1980",
  bibdate =      "Tue Feb 13 07:13:00 1996",
  bibsource =    "Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
}

@TechReport{Inada:1980:FLS,
  author =       "Nobuyuki Inada",
  title =        "Fortran-Based {LISP} System for {REDUCE}",
  institution =  "Information Science Laboratory, The Institute of
                 Physical and Chemical Research",
  address =      "????",
  year =         "1980",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
}

@Article{Norton:1980:NAL,
  author =       "Lewis M. Norton",
  title =        "A Note About {Laplace} Transform Tables for Computer
                 Use",
  journal =      j-SIGSAM,
  volume =       "14",
  number =       "2",
  pages =        "30--31",
  month =        may,
  year =         "1980",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:57 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1130 (Integral transforms); C6130 (Data handling
                 techniques)",
  corpsource =   "Lab. of Statistical and Math. Methodology, Nat. Inst.
                 of Health, Bethesda, MD, USA",
  fjournal =     "SIGSAM Bulletin",
  issue =        "54",
  keywords =     "inverse Laplace transforms; language; Laplace
                 transform tables; Laplace transforms; manipulation;
                 REDUCE; symbol; symbol manipulation; symbolic algebraic
                 manipulation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bordoni:1981:ARI,
  author =       "Luciana Bordoni and Attilio Colagrossi",
  title =        "An Application of {REDUCE} to Industrial Mechanics",
  journal =      j-SIGSAM,
  volume =       "15",
  number =       "2",
  pages =        "8--12",
  month =        may,
  year =         "1981",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:57 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7440 (Civil and mechanical engineering computing)",
  corpsource =   "Istituto di Analisi dei Sistemi ed Informatica,
                 IASI-CNR, Roma, Italy",
  fjournal =     "SIGSAM Bulletin",
  issue =        "58",
  keywords =     "dynamical equations; industrial mechanics; Lagrange
                 dynamical equations; large; mechanical engineering
                 computing; mechanical systems; motion; REDUCE
                 implementation",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Dautcourt:1981:UGR,
  author =       "G. Dautcourt and K. P. Jann and E. Riemer and M.
                 Riemer",
  title =        "User's Guide to {REDUCE} Subroutines For Algebraic
                 Computations in General Relativity",
  journal =      j-ASTRO-NACHR,
  volume =       "302",
  pages =        "1--13",
  year =         "1981",
  CODEN =        "ASNAAN",
  ISSN =         "0004-6337",
  ISSN-L =       "0004-6337",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  fjournal =     "Astronomische Nachrichten",
}

@TechReport{Edelen:1981:PCI,
  author =       "Dominic G. B. Edelen",
  title =        "Programs for Calculation of Isovector Fields in the
                 {REDUCE-2} Environment",
  number =       "TBD",
  institution =  "Center for the Application of Mathematics, Lehigh
                 University",
  address =      "????",
  month =        aug,
  year =         "1981",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Griss:1981:RSS,
  author =       "Martin L. Griss",
  title =        "{{\path=REDUCE.SYSLISP.SOURCES=}}, {BIGNUM} Package",
  type =         "Report",
  institution =  "Univ. of Utah, CS Dept.",
  address =      "Salt Lake City, UT, USA",
  month =        aug,
  year =         "1981",
  bibsource =    "Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Recoded from BIGNUM.MOD, Dec. 1977",
  keywords =     "LISP",
}

@TechReport{Husberg:1981:PIR,
  author =       "N. Husberg",
  title =        "Preliminary {II REDUCE-2} and {Analitik-74}, a
                 Comparison",
  institution =  "Helsinki University of Technology Computing Center",
  address =      "Helsinki, Finland",
  month =        nov,
  year =         "1981",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Kempelmann:1981:RAF,
  author =       "Helmut Kempelmann",
  title =        "Recursive algorithm for the fast calculation of the
                 limit of derivatives at points of indeterminateness",
  journal =      j-SIGSAM,
  volume =       "15",
  number =       "4",
  pages =        "10--11",
  month =        nov,
  year =         "1981",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:57 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Lehrstuhl fur Allgemeine Elektrotechnik und
                 Datenfernverarbeitung, RWTH Aachen, Aachen, West
                 Germany",
  fjournal =     "SIGSAM Bulletin",
  issue =        "60",
  keywords =     "denominator; derivatives; function evaluation;
                 indeterminateness; Laplace; numerator; probability;
                 queueing theory; recursive algorithm; REDUCE;
                 transform",
  treatment =    "T Theoretical or Mathematical",
}

@MastersThesis{Maguire:1981:PTR,
  author =       "Gerald Quentin {Maguire, Jr.}",
  title =        "Program Transformation in {REDUCE} Using Rule
                 Sequencing",
  school =       "Department of Computer Science, The University of
                 Utah",
  address =      "Salt Lake City, UT, USA",
  month =        mar,
  year =         "1981",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Pearce:1981:AAO,
  author =       "P. D. Pearce and R. J. Hicks",
  title =        "The Application of Algebraic Optimisation Techniques
                 to Algebraic Mode Programs for {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "15",
  number =       "4",
  pages =        "15--22",
  month =        nov,
  year =         "1981",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:57 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4240 (Programming and algorithm theory)",
  corpsource =   "School of Electronic Engng. and Computer Sci.,
                 Kingston Polytech., Kingston upon Thames, UK",
  fjournal =     "SIGSAM Bulletin",
  issue =        "60",
  keywords =     "algebraic manipulator; algebraic mode programs;
                 algebraic optimisation techniques; optimisation;
                 programming theory; REDUCE",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Davenport:1982:FRT,
  author =       "James H. Davenport",
  title =        "Fast {REDUCE}: The trade-off between efficiency and
                 generality",
  journal =      j-SIGSAM,
  volume =       "16",
  number =       "1",
  pages =        "8--11",
  month =        feb,
  year =         "1982",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:57 MDT 2005",
  bibsource =    "Distributed/QLD.bib; http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  annote =       "THIS SHORT NOTE DESCRIBES VARIOUS CHANGES THE AUTHOR
                 HAS MADE TO REDUCE, WHICH, BY REDUCING THE POWER OF THE
                 REDUCE SYSTEM, INCREASE ITS PERFORMANCE",
  country =      "USA",
  date =         "03/09/82",
  descriptors =  "REDUCE; RUNTIME/STORAGE EFFICIENCY;",
  enum =         "718",
  fjournal =     "SIGSAM Bulletin",
  issue =        "61",
  language =     "English",
  location =     "RWTH-AC-DFV: Bibl.",
  references =   "6",
  revision =     "21/04/91",
}

@Article{Fogelholm:1982:SLV,
  author =       "Rabbe Fogelholm and Inge B. Frick",
  title =        "Standard {LISP} for the {VAX}: a Provisional
                 Implementation",
  journal =      j-SIGSAM,
  volume =       "16",
  number =       "4",
  pages =        "10--12",
  month =        nov,
  year =         "1982",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6140D (High level languages)",
  corpsource =   "Dept. of Solid State Phys., Royal Inst. of Technol.,
                 Stockholm, Sweden",
  fjournal =     "SIGSAM Bulletin",
  issue =        "64",
  keywords =     "LISP; REDUCE; SHEEP; Standard LISP; symbol
                 manipulation; VAX-11 large-address-space computer",
  treatment =    "P Practical",
}

@Article{Hearn:1982:RCS,
  author =       "Anthony C. Hearn",
  title =        "{Reduce} --- a Case Study in Algebra System
                 Development",
  journal =      j-LECT-NOTES-COMP-SCI,
  pages =        "263--272",
  year =         "1982",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-11607-9",
  ISBN-13 =      "978-3-540-11607-3",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "????",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classification = "723; 921",
  conference =   "Computer Algebra, EUROCAM '82, European Computer
                 Algebra Conference.",
  fjournal =     "Lecture Notes in Computer Science",
  journalabr =   "Lect Notes Comp Sci",
  keywords =     "algorithms; mathematical techniques; Motorola MC68000
                 microprocessor; personal computers; programming system
                 Reduce; semantics",
  meetingaddress = "Marseille, Fr",
  sponsor =      "ACM, Special Interest Group on Symbolic \& Algebraic
                 Manipulation, New York, NY, USA",
}

@Article{Kalina:1982:RRL,
  author =       "Zden{\^e}k Kalina",
  title =        "Running {REDUCE} and {Lisp\slash 360} interactively
                 under a {Time Sharing Option}",
  journal =      j-SIGSAM,
  volume =       "16",
  number =       "2",
  pages =        "3--3",
  month =        may,
  year =         "1982",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "62",
}

@Article{Malm:1982:PRF,
  author =       "Bengt Malm",
  title =        "Program in {Reduce} for Finding Explicit Solutions to
                 Certain Ordinary Differential Equations",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "144",
  pages =        "289--293",
  year =         "1982",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-11607-9",
  ISBN-13 =      "978-3-540-11607-3",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "????",
  MRclass =      "34A25 (34-04)",
  MRnumber =     "680073 (83m:34006)",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib",
  acknowledgement = ack-nhfb,
  classification = "723; 921",
  conference =   "Computer Algebra, EUROCAM '82, European Computer
                 Algebra Conference.",
  fjournal =     "Lecture Notes in Computer Science",
  journalabr =   "Lect Notes Comp Sci",
  keywords =     "computer program snowman; differential equations;
                 mathematical techniques; polynomials; power series;
                 programming system Reduce; Reduce computer-algebra
                 system",
  meetingaddress = "Marseille, Fr",
  sponsor =      "ACM, Special Interest Group on Symbolic \& Algebraic
                 Manipulation, New York, NY, USA",
}

@Article{Schrufer:1982:IEC,
  author =       "E. Schr{\"u}fer",
  title =        "An Implementation of the Exterior Calculus in
                 {REDUCE}: a Status Report",
  journal =      j-SIGSAM,
  volume =       "16",
  number =       "4",
  pages =        "27--31",
  month =        nov,
  year =         "1982",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0210 (Algebra); C1120 (Mathematical analysis); C6130
                 (Data handling techniques); C7310 (Mathematics
                 computing)",
  corpsource =   "Inst. fur Astrophys. und Extraterrestrische Forschung,
                 Univ. Bonn, Bonn, West Germany",
  fjournal =     "SIGSAM Bulletin",
  issue =        "64",
  keywords =     "binary infix; calculus; differentiation; exterior;
                 exterior differentiation; Hodge star; inner product
                 differentiation; Lie; multiplication; nary infix
                 operator; REDUCE; symbol manipulation; unary prefix;
                 variational calculus",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Schwarz:1982:RPD,
  author =       "F. Schwarz",
  title =        "A {REDUCE} Package for Determining {Lie} Symmetries of
                 Ordinary and Partial Differential Equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "27",
  pages =        "179--186",
  year =         "1982",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  annote =       "Preliminary description of REDUCE packages SODE and
                 SPDE.",
  comment =      "Preliminary description of {REDUCE} packages {SODE}
                 and {SPDE}.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "Reduce",
}

@Article{Ucoluk:1982:PER,
  author =       "G. {\"U}{\c{c}}oluk and A. Hac{\i}nl{\i}yan and E.
                 Karabudak",
  title =        "A Proposal for Extensions to {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "16",
  number =       "2",
  pages =        "4--14",
  month =        may,
  year =         "1982",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "Distributed/QLD.bib; Distributed/QLD/1982.bib;
                 http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  abstract =     "Three classes of extensions are proposed for {REDUCE}:
                 A facility for evaluating arbitrary functions of
                 matrices; a facility for grouping, modifying or
                 restoring the status of various flags in {REDUCE};
                 further extensions and modifications for separating
                 terms, coefficients of expressions, concatenation, and
                 non- commuting algebra.",
  acknowledgement = ack-nhfb,
  annote =       "Three classes of extensions are proposed for Reduce: a
                 facility for evaluating arbitrary functions of
                 matrices; A facility for grouping, modifying or
                 restoring the status of various flags in reduce;
                 further extensions and modifications for separating
                 terms, coefficients of expressions, concatenation, and
                 noncommuting algebra. These proposals have been
                 implemented on the UNIVAC 1100 Reduce system \ldots{}",
  classcodes =   "C6140D (High level languages)",
  corpsource =   "Bogazici Univ., Istanbul, Turkey",
  country =      "USA",
  date =         "22/09/82",
  descriptors =  "REDUCE;",
  enum =         "3165",
  fjournal =     "SIGSAM Bulletin",
  issue =        "62",
  keywords =     "arbitrary; flags; functions; grouping; high level
                 languages; matrices; modifying; REDUCE; restoring;
                 symbol manipulation; UNIVAC 1100",
  language =     "English",
  location =     "RWTH-AC-DFV: Bibl.",
  references =   "0",
  revision =     "21/04/91",
  treatment =    "P Practical",
}

@Article{vanHulzen:1982:EAP,
  author =       "J. A. {van Hulzen} and B. J. A. Hulshof",
  title =        "An Expression Analysis Package for {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "16",
  number =       "4",
  pages =        "32--44",
  month =        nov,
  year =         "1982",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1120 (Mathematical analysis); C6130 (Data handling
                 techniques); C7310 (Mathematics computing)",
  corpsource =   "Dept. of Computer Sci., Twente Univ. of Technol.,
                 Enschede, Netherlands",
  fjournal =     "SIGSAM Bulletin",
  issue =        "64",
  keywords =     "algebra; Code Optimiser; expression analysis package;
                 interactive use; REDUCE; Reduce; REDUCE; Standard LISP;
                 symbol manipulation",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Abi-Ezzi:1983:CSM,
  author =       "Salim S. Abi-Ezzi",
  title =        "Clarifications to the symbolic mode in {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "3--4",
  pages =        "43--47",
  month =        aug # "\slash " # nov,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Dept. of Sci., Rensselaer Polytech. Inst., Troy, NY,
                 USA",
  fjournal =     "SIGSAM Bulletin",
  issue =        "67/68",
  keywords =     "algebra; algebraic mode; building; design; fundamental
                 data; languages; LISP; PASCAL like form; REDUCE; source
                 code; structures; symbolic expressions; symbolic mode;
                 system",
  subject =      "D.3.3 Software, PROGRAMMING LANGUAGES, Language
                 Constructs, Data types and structures \\ D.3.2
                 Software, PROGRAMMING LANGUAGES, Language
                 Classifications, Extensible languages \\ F.2.1 Theory
                 of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on polynomials \\ D.2.5 Software, SOFTWARE
                 ENGINEERING, Testing and Debugging, Debugging aids",
  treatment =    "T Theoretical or Mathematical",
  xxtitle =      "Clarifications to the symbolic mode in {REDUCE}",
}

@InProceedings{Fitch:1983:IRM,
  author =       "J. P. Fitch",
  booktitle =    "Proc. {EUROCAL} 1983, Lecture Notes in Computer
                 Science",
  title =        "Implementing {REDUCE} on a Microprocessor",
  volume =       "162",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "128--136",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InCollection{Gerdt:1983:RPS,
  author =       "V. P. Gerdt and A. Yu. Zharkov",
  booktitle =    "Dubna 1983",
  title =        "{REDUCE} --- a package for solution of ordinary
                 differential equations",
  publisher =    "????",
  address =      "????",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib",
  keywords =     "ODEs series Rainville method",
}

@InProceedings{Grozin:1983:COD,
  author =       "A. G. Grozin",
  booktitle =    "Proc. Int. Conf. on Computer Algebra in Theoretical
                 Physics, Dubna",
  title =        "Calculation of one-loop diagrams of {$ 1 \to 2 $}
                 decays with {REDUCE}",
  publisher =    "????",
  address =      "????",
  pages =        "226--231",
  year =         "1983",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "To appear in Phys. Lett. B",
}

@TechReport{Hearn:1983:RIG,
  author =       "A. C. Hearn and L. R. Seward",
  title =        "{REDUCE} Installation Guide for the {DEC VAX}-11
                 Series Running {UNIX}, Vers. 3.0",
  type =         "Report",
  number =       "Rand Publication CP84 (4/83)",
  institution =  "The Rand Corporation",
  address =      "Santa Monica, CA, USA",
  month =        apr,
  year =         "1983",
  bibsource =    "Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
  stand =        "LISP-Museum, Stehsammler 1983",
}

@TechReport{Hearn:1983:RUM,
  author =       "A. C. Hearn and J. D. Marti and others",
  title =        "{REDUCE} user's manual, version 3.0 (standard {LISP}
                 report)",
  type =         "RAND publication CP78 (4/83) (UUCS-78-101) (University
                 of Utah, Technical Report TR-6, 1978)",
  institution =  "Rand Corporation",
  address =      "Santa Monica, CA, USA",
  pages =        "1--135",
  year =         "1983",
  bibsource =    "Distributed/QLD.bib; Distributed/QLD/1983.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  country =      "USA",
  date =         "08/06/84",
  descriptors =  "REDUCE; LISP;",
  enum =         "1305",
  language =     "English",
  location =     "RWTH-AC-DFV: Bibl., CL 10 I-IV",
  references =   "0",
  revision =     "21/04/91",
}

@Misc{Hulshof:1983:R,
  author =       "B. Hulshof and A. van Hulzen and others",
  title =        "{REDUCE}",
  volume =       "17",
  number =       "1",
  publisher =    "ACM SIGSAM",
  pages =        "16--44",
  year =         "1983",
  bibsource =    "Distributed/QLD.bib; Distributed/QLD/1983.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  annote =       "Titles of articles: Some REDUCE facilities for pretty
                 printing subscripts and formal derivatives. --- About
                 the realization of an extended, but really interactive
                 REDUCE by integration of a small editing and executing
                 system. --- REDUCE 2 for CP/M. --- A comparison of the
                 MACSYMA and REDUCE. --- Data structures and execution
                 times of algebraic mode programs for REDUCE. --- A
                 REDUCE package for series analysis by Hadamard's
                 theorem and QD schemes.",
  country =      "USA",
  date =         "29/04/83",
  descriptors =  "REDUCE; MACSYMA; LISP; operating system; symbolic
                 algebraic computation;",
  enum =         "1437",
  language =     "English",
  location =     "RWTH-AC-DFV: Bibl.",
  references =   "0",
  revision =     "19/03/92",
}

@Article{Hulshof:1983:SRF,
  author =       "B. J. A. Hulshof and J. A. {van Hulzen}",
  title =        "Some {REDUCE} Facilities for Pretty Printing
                 Subscripts and Formal Derivatives",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "1",
  pages =        "16--20",
  month =        feb,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130 (Data handling techniques)",
  corpsource =   "Dept. of Computer Sci. Twente Univ. of Technol.,
                 Enschede, Netherlands",
  fjournal =     "SIGSAM Bulletin",
  issue =        "65",
  keywords =     "array subscripts; formal derivatives; matrix
                 subscripts; pretty; printing subscripts; Reduce; REDUCE
                 facilities; Standard LISP; text editing",
  treatment =    "P Practical",
}

@Article{Kruse:1983:ARE,
  author =       "Hans-Guenther Kruse and Karin Ohlsen",
  title =        "About the Realization of an Extended, but Really
                 Interactive {REDUCE} by Integration of a Small Editing
                 and Executing System",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "1",
  pages =        "21--25",
  month =        feb,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130 (Data handling techniques); C6150J (Operating
                 systems)",
  corpsource =   "Univ. Mannheim, Mannheim, West Germany",
  fjournal =     "SIGSAM Bulletin",
  issue =        "65",
  keywords =     "data handling; editing; executing system; IBM-like;
                 interactive REDUCE; machines; operating systems;
                 operating systems (computers); Reduce; symbolic
                 calculations; text editing",
  treatment =    "P Practical",
}

@Article{Marti:1983:RCM,
  author =       "Jed Marti and John Fitch",
  title =        "{REDUCE} 2 for {CP/M}",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "1",
  pages =        "26--27, 37",
  month =        feb,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6150C (Compilers, interpreters and other processors);
                 C6150J (Operating systems)",
  corpsource =   "Univ. of Bath, Bath, UK",
  fjournal =     "SIGSAM Bulletin",
  issue =        "65",
  keywords =     "64K; byte Z80 CP/M microcomputer systems; compilers;
                 computer algebra; CP/M; interpreters; NLARGE; operating
                 systems (computers); OS; parsers; program; program
                 compilers; REDUCE 2; system; UOLISP compiler",
  treatment =    "P Practical",
}

@Article{Norman:1983:CVR,
  author =       "Arthur C. Norman and Paul S. Wang",
  title =        "A comparison of the {Vaxima} and {Reduce}
                 factorization packages",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "1",
  pages =        "28--30",
  month =        feb,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6150C (Compilers, interpreters and other processors);
                 C7310 (Mathematics computing)",
  corpsource =   "Computer Lab., Univ. of Cambridge, Cambridge, UK",
  fjournal =     "SIGSAM Bulletin",
  issue =        "65",
  keywords =     "compilers; factorization packages; Macsyma;
                 mathematics; program compilers; program interpreters;
                 Reduce; REDUCE; Reduce; Vaxima",
  treatment =    "P Practical",
}

@Article{Pearce:1983:DSE,
  author =       "P. D. Pearce and R. J. Hicks",
  title =        "Data structures and execution times of {Algebraic}
                 mode programs for {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "1",
  pages =        "31--37",
  month =        feb,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130 (Data handling techniques)",
  corpsource =   "School of Electronic Engng. and Computer Sci.,
                 Kingston Polytech., Kingston, UK",
  fjournal =     "SIGSAM Bulletin",
  issue =        "65",
  keywords =     "algebraic mode programs; data handling; data
                 structures; execution times; ordering of identifiers;
                 REDUCE; Reduce",
  treatment =    "P Practical",
}

@Article{Schwarz:1983:RPS,
  author =       "Fritz Schwarz",
  title =        "A {REDUCE} Package for Series Analysis by {Hadamard}'s
                 Theorem and {QD} Schemes",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "1",
  pages =        "38--44",
  month =        feb,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4120 (Functional analysis); C7310 (Mathematics
                 computing)",
  corpsource =   "Fachbereich Phys., Univ. Kaiserslautern,
                 Kaiserslautern, West Germany",
  fjournal =     "SIGSAM Bulletin",
  issue =        "65",
  keywords =     "analytic; branch points; functional analysis;
                 functions; Hadamard's; infinite; lattice gauge
                 theories; mathematics; poles; power series; precision
                 integer arithmetic; QD schemes; Reduce; REDUCE package;
                 series analysis; statistical physics; theorem",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Smith:1983:IMM,
  author =       "Paul Smith and Leon Sterling",
  title =        "Of integration by man and machine",
  journal =      j-SIGSAM,
  volume =       "17",
  number =       "3--4",
  pages =        "21--24",
  month =        aug # "\slash " # nov,
  year =         "1983",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:58 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4160 (Numerical integration and differentiation)",
  corpsource =   "Dept. of Math., Univ. of Dundee, Dundee, UK",
  fjournal =     "SIGSAM Bulletin",
  issue =        "67/68",
  keywords =     "algorithms; engineering; integration; integration
                 package; machine; man; nontrivial symbol manipulation;
                 REDUCE; simplification; symbolic",
  subject =      "J.2 Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Engineering \\ G.1.0 Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Computer
                 arithmetic \\ G.1.4 Mathematics of Computing, NUMERICAL
                 ANALYSIS, Quadrature and Numerical Differentiation,
                 Equal interval integration",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Caprasse:1984:DUD,
  author =       "H. Caprasse",
  title =        "Description et Utilisation d'Une Extension du
                 Programme {REDUCE}",
  institution =  "Physique Th{\'e}orique et Math{\'e}matique,
                 Universit{\'e} de Li{\`e}ge",
  address =      "Li{\`e}ge, Belgium",
  month =        oct,
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Kryukov:1984:ARL,
  author =       "A. P. Kryukov",
  title =        "An Antitranslator of the {RLISP} Language",
  journal =      j-SIGSAM,
  volume =       "18",
  number =       "3",
  pages =        "12--15",
  month =        aug,
  year =         "1984",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6140D (High level languages); C6150C (Compilers,
                 interpreters and other processors)",
  corpsource =   "Inst. of Nucl. Phys., Moscow State Univ., USSR",
  fjournal =     "SIGSAM Bulletin",
  issue =        "71",
  keywords =     "antitranslator; language; LISP; program interpreters;
                 RECONSTRUCTOR program; REDUCE system language; RLISP
                 language",
  treatment =    "P Practical",
}

@InProceedings{McCrea:1984:URF,
  author =       "J. D. McCrea",
  booktitle =    "Classical General Relativity",
  title =        "The Use of {REDUCE} in Finding Exact Solutions of the
                 Quadratic {Poincar{\'e}} Gauge Field Equations",
  publisher =    "Cambridge University",
  pages =        "173--182",
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@MastersThesis{Podgorak:1984:ARC,
  author =       "E. Podg{\'o}rak and I. Romanowska",
  title =        "Application of {REDUCE} 2 to the Construction of
                 Recurrence Relations",
  school =       "Institute of Computer Science, University of Wroclaw",
  address =      "Wroclaw, Poland",
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Rodinov:1984:WNC,
  author =       "A. Ya. Rodinov",
  title =        "Work with non-commutative variables in the {Reduce-2}
                 system for analytical calculations",
  journal =      j-SIGSAM,
  volume =       "18",
  number =       "3",
  pages =        "16--19",
  month =        aug,
  year =         "1984",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6140D (High level languages); C7310 (Mathematics
                 computing)",
  corpsource =   "Inst. of Nucl. Phys., Moscow State Univ., USSR",
  fjournal =     "SIGSAM Bulletin",
  issue =        "71",
  keywords =     "analytical calculations; commutation rules; delta
                 functions; high level languages; Kronecker symbols;
                 mathematics; program package; Reduce; Reduce-2 system",
  treatment =    "P Practical",
}

@TechReport{Ackerman:1985:ASE,
  author =       "A. Ackerman",
  title =        "Analysis of a Systematic Error in Field Measurements
                 of Quadrupole Magnets, Using the Algebraic Software
                 Package {Reduce}",
  number =       "DESY-M-85-10",
  institution =  "????",
  address =      "????",
  pages =        "????",
  year =         "1985",
  bibdate =      "Sat Sep 13 18:02:55 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bates:1985:GAC,
  author =       "B. L. Bates",
  title =        "{GENTRAN}: an automatic code generation facility for
                 {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "24--42",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Sat Aug 13 17:21:21 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  keywords =     "algorithms; design; languages",
  subject =      "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
                 Code generation \\ D.3.3 Software, PROGRAMMING
                 LANGUAGES, Language Constructs, Control structures \\
                 D.3.3 Software, PROGRAMMING LANGUAGES, Language
                 Constructs, Procedures, functions, and subroutines \\
                 D.3.2 Software, PROGRAMMING LANGUAGES, Language
                 Classifications, FORTRAN \\ G.1 Mathematics of
                 Computing, NUMERICAL ANALYSIS, Optimization",
}

@Article{Caprasse:1985:NUO,
  author =       "H. Caprasse and M. Hans",
  title =        "A new use of operators in the algebraic mode of
                 {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "46--52",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Inst. de Phys. au Sart Tilman, Li{\`e}ge Univ.,
                 Belgium",
  fjournal =     "SIGSAM Bulletin",
  issue =        "75",
  keywords =     "algebra; algebraic language; bag; calculus; design;
                 IBM 4341/2; languages; performance; property; REDUCE
                 algebra system; software packages; tensor calculus;
                 version 3.0; version 3.1",
  subject =      "F.4.3 Theory of Computation, MATHEMATICAL LOGIC AND
                 FORMAL LANGUAGES, Formal Languages, Algebraic language
                 theory \\ D.4.7 Software, OPERATING SYSTEMS,
                 Organization and Design, Interactive systems",
  treatment =    "P Practical",
}

@Article{Demichev:1985:RPC,
  author =       "A. P. Demichev and A. Ya. Rodinov",
  title =        "A {REDUCE} Program for the Calculation of Geometrical
                 Characteristics of Compactified Multidimensional
                 {Riemannian} Space",
  journal =      j-COMP-PHYS-COMM,
  volume =       "38",
  pages =        "441--448",
  year =         "1985",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "Covariant theories in N dimensional ($N \geq 4$)
                 space-time. {REDUCE} programs to calculate {Ricci,
                 Einstein and Yang--Mills} curvature and energy-momentum
                 tensor.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Eliseev:1985:RPD,
  author =       "V. P. Eliseev and R. N. Fedorova and V. V. Kornyak",
  title =        "A {REDUCE} Program for Determining Point and Contact
                 {Lie} Symmetries of Differential Equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "36",
  number =       "4",
  pages =        "383--389",
  month =        jun,
  year =         "1985",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Joint Inst for Nuclear Research, Lab of Computing
                 Techniques \& Automation, Moscow, USSR",
  affiliationaddress = "Joint Inst for Nuclear Research, Lab of
                 Computing Techniques \& Automation, Moscow, USSR",
  classification = "723; 921",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; computer software; lie symmetries;
                 mathematical techniques --- Differential Equations",
}

@Article{Fitch:1985:SAP,
  author =       "John P. Fitch",
  title =        "Solving algebraic problems with {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "2",
  pages =        "211--228 (or 211--227??)",
  month =        jun,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/auto.diff.bib; Theory/Comp.Alg.1.bib;
                 Theory/reduce.bib",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Reduce",
  referred =     "[Char91a].",
}

@Article{Gates:1985:GAC,
  author =       "Barbara L. Gates",
  title =        "{GENTRAN}: an automatic code generation facility for
                 {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "24--42",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib; Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6115 (Programming support); C6150C (Compilers,
                 interpreters and other processors); C7310 (Mathematics
                 computing)",
  corpsource =   "Dept. of Comput. Sci., Twente Univ. of Technol.,
                 Enschede, Netherlands",
  fjournal =     "SIGSAM Bulletin (ACM Special Interest Group on
                 Symbolic and Algebraic Manipulation)",
  issue =        "75",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J1000",
  keywords =     "algebra; algebra package; algorithms; application
                 generators; assignment; automatic code generation; code
                 optimizer; design; expression; file handling; GENTRAN;
                 languages; numerical programs; program interpreters;
                 REDUCE; RLISP; segmentation facility; statements;
                 template files; translation package",
  subject =      "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
                 Code generation \\ D.3.3 Software, PROGRAMMING
                 LANGUAGES, Language Constructs, Control structures \\
                 D.3.3 Software, PROGRAMMING LANGUAGES, Language
                 Constructs, Procedures, functions, and subroutines \\
                 D.3.2 Software, PROGRAMMING LANGUAGES, Language
                 Classifications, FORTRAN \\ G.1 Mathematics of
                 Computing, NUMERICAL ANALYSIS, Optimization",
  treatment =    "P Practical",
}

@TechReport{Gates:1985:GDI,
  author =       "Barbara L. Gates",
  title =        "Gentran Design and Implementation, {REDUCE} Version",
  type =         "Memorandum",
  number =       "Memorandum INF-85-12",
  institution =  "Twente University of Technology, Department of
                 Computer Science",
  address =      "Enschede, The Netherlands",
  month =        aug,
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib",
  keywords =     "Reduce",
}

@TechReport{Gates:1985:GUM,
  author =       "Barbara L. Gates",
  title =        "Gentran User's Manual --- {REDUCE} Version",
  type =         "Memorandum",
  number =       "INF-85-11",
  institution =  "Twente University of Technology, Department of
                 Computer Science",
  address =      "Enschede, The Netherlands",
  month =        jun,
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@Article{Gerdt:1985:CAA,
  author =       "V. P. Gerdt and A. B. Shvachka and A. Yu. Zharkov",
  title =        "Computer algebra application for classification of
                 integrable non-linear evolution equations",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "1",
  pages =        "101--107",
  month =        mar,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "35Q20 (35-04 58G37 65M99)",
  MRnumber =     "87d:35116",
  MRreviewer =   "S. V. Duzhin",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib; Theory/Comp.Alg.1.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Differential Equations, FORMAC; integrability tests
                 PDEs oderef, Reduce",
}

@InProceedings{Hulshof:1985:ECP,
  author =       "B. J. A. Hulshof and J. A. {van Hulzen}",
  title =        "An expression compression package for {REDUCE} based
                 on factorization and controlled expansion",
  crossref =     "Buchberger:1985:PEE",
  volume =       "2",
  pages =        "315--316",
  year =         "1985",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130 (Data handling techniques)",
  corpsource =   "Dept. of Comput. Sci., Twente Univ. of Technol.,
                 Enschede, Netherlands",
  keywords =     "Computer Algebra Systems; controlled expansion;
                 expression compression package; factorization; MACSYMA;
                 REDUCE; simplification rules; symbol manipulation;
                 visual inspection",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Ito:1985:RPE,
  author =       "M. Ito",
  title =        "A {REDUCE} Program for Evaluating a {Lax} Pair Form",
  journal =      j-COMP-PHYS-COMM,
  volume =       "34",
  pages =        "325--331",
  year =         "1985",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "{REDUCE} in nonlinear equations.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Ito:1985:RPF,
  author =       "Masaaki Ito and Fujio Kako",
  title =        "A {REDUCE} Program for Finding Conserved Densities of
                 Partial Differential Equations with Uniform Rank",
  journal =      j-COMP-PHYS-COMM,
  volume =       "38",
  number =       "3",
  pages =        "415--419",
  month =        dec,
  year =         "1985",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 14:09:53 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Hiroshima Univ, Hiroshima, Jpn",
  classification = "723; 921",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; computer program Reduce; computer
                 software; mathematical techniques --- Differential
                 Equations",
}

@Article{Kolbig:1985:EEC,
  author =       "K. S. K{\"o}lbig",
  title =        "Explicit Evaluation of Certain Definite Integrals
                 Involving Powers of Logarithms",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "1",
  pages =        "109--114",
  month =        mar,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "65D15 (65-04)",
  MRnumber =     "87b:65023",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Definite Integration; Reduce",
}

@Article{Kryukov:1985:DDS,
  author =       "A. P. Kryukov and A. Ya. Rodinov",
  title =        "Dynamic-Debugging System for the {REDUCE} Programs",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "2",
  pages =        "34--37",
  month =        may,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "Ai/lisp.bib; http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6140D (High level languages); C6150G (Diagnostic,
                 testing, debugging and evaluating systems)",
  corpsource =   "Inst. of Nucl. Phys., Moscow State Univ., USSR",
  fjournal =     "SIGSAM Bulletin",
  issue =        "74",
  keyword =      "LISP",
  keywords =     "debugger; design; dynamic-debugging system;
                 evaluation; high level languages; input language;
                 languages; LISP; operational experience; program
                 debugging; Reduce; RLISP",
  subject =      "D.2.5 Software, SOFTWARE ENGINEERING, Testing and
                 Debugging, Debugging aids \\ D.3.3 Software,
                 PROGRAMMING LANGUAGES, Language Constructs,
                 Input/Output \\ D.3.2 Software, PROGRAMMING LANGUAGES,
                 Language Classifications, LISP",
  treatment =    "P Practical",
}

@Article{Kryukov:1985:IR,
  author =       "A. P. Kryukov and A. Ya. Rodinov",
  title =        "Interactive {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "43--45",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib; Theory/symbolic.math.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Inst. of Nucl. Phys., Moscow State Univ., USSR",
  fjournal =     "SIGSAM Bulletin",
  issue =        "75",
  keywords =     "algebra; algebra system; design; interactive mode;
                 interactive systems; REDUCE-2; reliability; software
                 packages",
  subject =      "D.4.7 Software, OPERATING SYSTEMS, Organization and
                 Design, Interactive systems \\ G.1.0 Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Computer
                 arithmetic \\ D.2.5 Software, SOFTWARE ENGINEERING,
                 Testing and Debugging, Diagnostics \\ D.4.2 Software,
                 OPERATING SYSTEMS, Storage Management, Main memory",
  treatment =    "P Practical",
}

@Article{Kyrukov:1985:IR,
  author =       "A. P. Kyrukov and A. Ya. Rodinov",
  title =        "Interactive {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "43--45",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Inst. of Nucl. Phys., Moscow State Univ., USSR",
  fjournal =     "SIGSAM Bulletin",
  keywords =     "algebra; algebra system; interactive mode; interactive
                 systems; REDUCE-2; software packages",
  treatment =    "P Practical",
}

@Article{Leler:1985:IGI,
  author =       "Wm Leler and Neil Soiffer",
  title =        "An Interactive Graphical Interface for {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "17--23",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib; Theory/symbolic.math.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130B (Graphics techniques); C7310 (Mathematics
                 computing)",
  corpsource =   "Comput. Res. Lab., Tektronix Inc., Beaverton, OR,
                 USA",
  fjournal =     "SIGSAM Bulletin",
  issue =        "75",
  keywords =     "algebra; algebra systems; bit-mapped displays;
                 computer graphics; design; economics; human factors;
                 interactive graphical interface; interactive systems;
                 mathematical expressions; REDUCE; workstation",
  subject =      "I.3.6 Computing Methodologies, COMPUTER GRAPHICS,
                 Methodology and Techniques, Interaction techniques \\
                 I.3.1 Computing Methodologies, COMPUTER GRAPHICS,
                 Hardware architecture, Input devices \\ D.2.3 Software,
                 SOFTWARE ENGINEERING, Coding, Pretty printers \\ D.3.2
                 Software, PROGRAMMING LANGUAGES, Language
                 Classifications, Very high-level languages",
  treatment =    "P Practical",
}

@Article{Marti:1985:RLB,
  author =       "Jed B. Marti and Anthony C. Hearn",
  title =        "{REDUCE} as a {Lisp} benchmark",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "3",
  pages =        "8--16",
  month =        aug,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "Ai/lisp.bib; http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib; Theory/symbolic.math.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C5470 (Performance evaluation and testing); C6150G
                 (Diagnostic, testing, debugging and evaluating
                 systems); C7310 (Mathematics computing)",
  corpsource =   "Rand Corp., Santa Monica, CA, USA",
  fjournal =     "SIGSAM Bulletin",
  issue =        "75",
  keyword =      "LISP",
  keywords =     "algebra; computer testing; execution times; languages;
                 LISP; LISP benchmark; LISP systems; machine
                 architectures; performance; processor performance;
                 program testing; REDUCE test program",
  subject =      "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra, Matrix inversion \\ C.0
                 Computer Systems Organization, GENERAL, System
                 architectures \\ D.3.2 Software, PROGRAMMING LANGUAGES,
                 Language Classifications, LISP \\ G.1.0 Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Computer
                 arithmetic \\ F.3.3 Theory of Computation, LOGICS AND
                 MEANINGS OF PROGRAMS, Studies of Program Constructs,
                 Program and recursion schemes",
  treatment =    "P Practical",
}

@Article{Mazzarella:1985:ISO,
  author =       "Giuseppe Mazzarella",
  title =        "Improved Simplification of Odd and Even Functions in
                 {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "19",
  number =       "2",
  pages =        "29--30",
  month =        may,
  year =         "1985",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Oct 5 08:31:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6150C (Compilers, interpreters and other
                 processors)",
  corpsource =   "Dipartiments Ingegneria Elettronica, Napoli, Italy",
  fjournal =     "SIGSAM Bulletin",
  issue =        "74",
  keywords =     "algebra; argument; design; even functions; functions;
                 interpreters; odd functions; program; program
                 interpreters; REDUCE; Reduce; REDUCE; simplification;
                 standard form; symmetry of functions",
  subject =      "I.1.1 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Expressions and Their Representation, Simplification of
                 expressions \\ I.1 Computing Methodologies, ALGEBRAIC
                 MANIPULATION, Languages and Systems",
  treatment =    "P Practical",
  xxauthor =     "G. Mazzarell",
}

@Article{Navarro-Saad:1985:AFT,
  author =       "Miguel Navarro-Saad and Kurt Bernardo Wolf",
  title =        "Applications of a Factorization Theorem for
                 Ninth-order Aberration Optics",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "2",
  pages =        "235--240 (or 235--239??)",
  month =        jun,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "78A05 (78-04)",
  MRnumber =     "87b:78003",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Factorization, Optics, REDUCE",
  xxtitle =      "Applications of a factorisation theorem for
                 ninth-order aberration optics",
}

@Article{Rizzi:1985:USC,
  author =       "Nicola Rizzi and Amabile Tatone",
  title =        "Using Symbolic Computation in Buckling Analysis",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "3",
  pages =        "317--322 (or 317--321??)",
  month =        sep,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "73-08 (73H05)",
  MRnumber =     "87h:73006",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Differential Equations, REDUCE",
}

@Article{Schwarz:1985:ADP,
  author =       "Fritz Schwarz",
  title =        "An Algorithm for Determining Polynomial First
                 Integrals of Autonomous Systems of Ordinary
                 Differential Equations",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "1",
  number =       "2",
  pages =        "229--234 (or 229--233??)",
  month =        jun,
  year =         "1985",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "34A45 (58F05)",
  MRnumber =     "818 879",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib; Theory/Comp.Alg.1.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Differential Equations; REDUCE; Gr{\"o}bner Bases;
                 Reduce; ODEs first integrals",
}

@Article{Schwarz:1985:ADS,
  author =       "F. Schwarz",
  title =        "Automatically Determining Symmetries of Partial
                 Differential Equations",
  journal =      "Computing (Vienna/New York)",
  volume =       "34",
  number =       "2",
  pages =        "91--106",
  year =         "1985",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Gesellschaft f{\"u}r Mathematik und Datenverarbeitung,
                 St. Augustin, West Ger",
  affiliationaddress = "Gesellschaft f{\"u}r Mathematik und
                 Datenverarbeitung, St. Augustin, West Ger",
  classification = "723; 921",
  journalabr =   "Computing (Vienna/New York)",
  keywords =     "computer programming --- Algorithms; Differential
                 Equations; mathematical techniques; partial
                 differential equations; Reduce package",
}

@InProceedings{Soma:1985:RAR,
  author =       "Takashi Soma",
  booktitle =    "Proc. of the Second {RIKEN} International Symposium on
                 Symbolic and Algebraic Computation by Computers",
  title =        "Recent Applications of {REDUCE} in {RIKEN}",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "181--182",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Wanas:1985:MPI,
  author =       "M. I. Wanas",
  booktitle =    "Tenth International Congress for Statistics, Computer
                 Science, Social and Demographic Research",
  title =        "Manipulation of Parameters Indicating the Physical
                 Significance of any Absolute Parallelism Space Using
                 {REDUCE} 2",
  publisher =    "????",
  address =      "????",
  year =         "1985",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Wright:1985:EIA,
  author =       "F. J. Wright and G. Dangelmayr",
  title =        "Explicit iterative algorithms to reduce a univariate
                 catastrophe to normal form",
  journal =      j-COMPUTING,
  volume =       "35",
  number =       "1",
  pages =        "73--83",
  year =         "1985",
  CODEN =        "CMPTA2",
  DOI =          "http://dx.doi.org/10.1007/BF02240148",
  ISSN =         "0010-485X",
  ISSN-L =       "0010-485X",
  MRclass =      "58C28 (58C27 68Q40)",
  MRnumber =     "809680 (87c:58019)",
  MRreviewer =   "M. J. Sewell",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing. Archives for Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  keywords =     "catastrophe theory; Reduce computer-algebra system;
                 reduction to normal form; right equivalence",
}

@Article{Boege:1986:SES,
  author =       "W. Boege and R. Gebauer and H. Kredel",
  title =        "Some Examples for Solving Systems of Algebraic
                 Equations by Calculating {Gr{\"o}bner} Bases",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "2",
  number =       "1",
  pages =        "83--98",
  month =        mar,
  year =         "1986",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "12-04 (11Y16 13-06 68Q40)",
  MRnumber =     "87d:12001",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Inst. for Appl. Math., Heidelberg Univ., West
                 Germany",
  countrypub =   "UK A05",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Reduce; polynomials; Buchberger algorithm; algebraic
                 equations; Gr{\"o}bner bases; coefficient domains;
                 variable ordering; term ordering; computing time; space
                 allocation; SAC-2; REDUCE",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Bradford:1986:ERD,
  author =       "R. J. Bradford and A. C. Hearn and J. A. Padget and E.
                 Schr{\"u}fer",
  booktitle =    "Proceedings of the 1986 Symposium on Symbolic and
                 Algebraic Computation",
  title =        "Enlarging the {REDUCE} Domain of Computation",
  publisher =    "????",
  address =      "????",
  pages =        "100--106",
  day =          "21--23",
  month =        jul,
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/symbolic.math.bib",
}

@Article{Caprasse:1986:CSP,
  author =       "H. Caprasse",
  title =        "A complete simplification package for the absolute
                 value function in {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "20",
  number =       "1 and 2",
  pages =        "18--21",
  month =        feb # "\slash " # may,
  year =         "1986",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Wed Aug 17 02:14:43 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/sigsam.bib",
  note =         "Implementation for {REDUCE} 3.2 of the function
                 {ABS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  keywords =     "languages",
  subject =      "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Languages and Systems, REDUCE",
}

@Article{Caprasse:1986:DEM,
  author =       "H. Caprasse",
  title =        "Description of an extension of the Matrix package of
                 ``{Reduce}''",
  journal =      j-SIGSAM,
  volume =       "20",
  number =       "4",
  pages =        "7--10",
  month =        dec,
  year =         "1986",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1110 (Algebra); C4140 (Linear algebra)",
  corpsource =   "Inst. de Phys. au Sart Tilman, Li{\`e}ge Univ.,
                 Belgium",
  fjournal =     "SIGSAM Bulletin",
  keywords =     "algebraic; algorithms; Hearn; languages; matrix;
                 matrix algebra; matrix package; matrix subprogram;
                 mode; reduce",
  subject =      "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Languages and Systems, REDUCE \\ F.2.1 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices",
  treatment =    "P Practical",
}

@Article{Duncan:1986:RUM,
  author =       "Anthony Duncan and Ralph Roskies",
  title =        "Representations of Unusual Mathematical Structures in
                 Scientific Applications of Symbolic Computation",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "2",
  number =       "2",
  pages =        "201--206 (or 201--207??)",
  month =        jun,
  year =         "1986",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/symbolic.math.bib",
  abstract =     "We present examples of techniques we have used to
                 apply {REDUCE} to problems in particle physics which
                 have mathematical structures unknown to {REDUCE}.",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130 (Data handling techniques); C7310 (Mathematics
                 computing)",
  corpsource =   "Dept. of Phys. and Astron., Pittsburgh Univ., PA,
                 USA",
  countrypub =   "UK A06",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "anti-commuting; FORTRAN code; Gross--Neveu;
                 mathematical structures; model; operators; particle
                 physics; REDUCE, particle physics, numerics; scientific
                 applications; symbol manipulation; symbolic
                 computation; unusual mathematical structures",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Feldmar:1986:RPM,
  author =       "E. Feldmar and K. S. {K{\"o}lbig}",
  title =        "{Reduce} Procedures for the Manipulation of
                 Generalized Power Series",
  journal =      j-COMP-PHYS-COMM,
  volume =       "39",
  number =       "2",
  pages =        "267--284",
  month =        feb # "\slash " # mar,
  year =         "1986",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(86)90137-2",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "CERN, Geneva, Switz",
  classification = "723; 921",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; computer programming --- Algorithms;
                 computer software; mathematical techniques ---
                 Applications; power series; Reduce",
}

@TechReport{Flatau:1986:SAA,
  author =       "Piotr J. Flatau and John P. Boyd and William R.
                 Cotton",
  title =        "Symbolic Algebra in Applied Mathematics and
                 Geophysical Fluid Dynamics --- {REDUCE} Examples",
  institution =  "Dept. of Atmospheric and Oceanic Science, University
                 of Michigan, and Dept. of Atmospheric Science, Colorado
                 State University",
  address =      "Ann Arbor, MI, USA and Ft. Collins, CO, USA",
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Gates:1986:NCG,
  author =       "Barbara L. Gates",
  booktitle =    "Proceedings of the 1986 Symposium on Symbolic and
                 Algebraic Computation",
  title =        "A Numerical Code Generation Facility for {REDUCE}",
  publisher =    "????",
  address =      "????",
  pages =        "94--99",
  day =          "21--23",
  month =        jul,
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/symbolic.math.bib",
}

@Article{Kotorynski:1986:SLF,
  author =       "W. P. Kotorynski",
  title =        "Steady Laminar Flow Through a Twisted Pipe of
                 Elliptical Cross-Section",
  journal =      j-COMP-FLUIDS,
  volume =       "14",
  number =       "4",
  pages =        "433--444",
  year =         "1986",
  CODEN =        "CPFLBI",
  ISSN =         "0045-7930",
  ISSN-L =       "0045-7930",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Univ of Victoria, Victoria, BC, Can",
  classification = "619; 631; 723; 921",
  fjournal =     "Computers and Fluids",
  journalabr =   "Comput Fluids",
  keywords =     "computer programming languages; flow of fluids;
                 Laminar; mathematical techniques --- Perturbation
                 Techniques; pipe; Reduce",
}

@InProceedings{Krynko:1986:DRE,
  author =       "A. Krynko",
  booktitle =    "SYMSAC'86 --- Proceedings of the 1986 Symposium on
                 Symbolic and Algebraic Manipulation",
  title =        "Dialogue in {REDUCE}: Experience and Development",
  publisher =    pub-ACM,
  address =      "Waterloo, Ontario, Canada",
  pages =        "107--109",
  month =        jul,
  year =         "1986",
  ISBN =         "0-89791-199-7",
  ISBN-13 =      "978-0-89791-199-3",
  bibsource =    "Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
}

@InProceedings{Kryukov:1986:CRA,
  author =       "A. P. Kryukov and A. Y. Rodinov and G. L. Litvinov",
  booktitle =    "Proceedings of the 1986 Symposium on Symbolic and
                 Algebraic Computation",
  title =        "Construction of Rational Approximations by Means of
                 {REDUCE}",
  publisher =    "????",
  address =      "????",
  pages =        "31--33",
  day =          "21--23",
  month =        jul,
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/symbolic.math.bib",
}

@InProceedings{Kryukov:1986:DRE,
  author =       "A. P. Kryukov",
  booktitle =    "Proceedings of the 1986 Symposium on Symbolic and
                 Algebraic Computation",
  title =        "Dialogue in {REDUCE}: Experience and Development",
  publisher =    "????",
  address =      "????",
  pages =        "107--109",
  day =          "21--23",
  month =        jul,
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/symbolic.math.bib",
}

@InProceedings{Kryukov:1986:URC,
  author =       "A. P. Kryukov and A. Y. Rodinov",
  booktitle =    "Proceedings of the 1986 Symposium on Symbolic and
                 Algebraic Computation",
  title =        "Usage of {Reduce} for Computations of
                 Group-Theoretical Weight of {Feynman} Diagrams in
                 {Non-Abelian} Gauge Theories",
  publisher =    "????",
  address =      "????",
  pages =        "91--93",
  day =          "21--23",
  month =        jul,
  year =         "1986",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/symbolic.math.bib",
}

@Article{Schwarz:1986:RPD,
  author =       "Fritz Schwarz",
  title =        "A {REDUCE} Package for Determining First Integrals of
                 Autonomous Systems of Ordinary Differential Equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "39",
  number =       "2",
  pages =        "285--296",
  month =        feb # "\slash " # mar,
  year =         "1986",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(86)90138-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "GMD, St. Augustin, West Ger",
  annote =       "Description of package DISSYS in REDUCE.",
  classification = "723; 921",
  comment =      "Description of package {DISSYS} in {REDUCE}.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; autonomous systems; computer program
                 dissys; computer software; mathematical techniques ---
                 Differential Equations; Reduce; Reduce package",
}

@Article{vandenHeuvel:1986:ASR,
  author =       "Pim {van den Heuvel}",
  title =        "Adding statements to {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "20",
  number =       "1 and 2",
  pages =        "8--14",
  month =        feb # "\slash " # may,
  year =         "1986",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Sat Aug 13 17:21:21 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  keywords =     "languages, Reduce",
  subject =      "D.3.4 Software, PROGRAMMING LANGUAGES, Processors,
                 Parsing \\ I.1.3 Computing Methodologies, ALGEBRAIC
                 MANIPULATION, Languages and Systems, REDUCE",
}

@TechReport{vandenHeuvel:1986:SER,
  author =       "Pim {van den Heuvel}",
  title =        "Some Experiments in {REDUCE} Related to the
                 Calculation of {Gr{{\"o}}bner} Bases",
  institution =  "Twente University of Technology, Department of
                 Computer Science",
  address =      "Enschede, The Netherlands",
  month =        jun,
  year =         "1986",
  bibdate =      "Tue Feb 13 07:11:00 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@Article{Anderson:1987:IOL,
  author =       "J. Wayne Anderson and William F. Galway and Robert R.
                 Kessler and Herbert Melenk and Winfried Neun",
  title =        "Implementing and Optimizing {Lisp} for the {Cray}",
  journal =      j-IEEE-SOFTWARE,
  volume =       "4",
  number =       "4",
  pages =        "74--83",
  month =        jul,
  year =         "1987",
  CODEN =        "IESOEG",
  DOI =          "http://dx.doi.org/10.1109/MS.1987.231067",
  ISSN =         "0740-7459 (print), 0740-7459 (electronic)",
  ISSN-L =       "0740-7459",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Los Alamos Natl Lab, NM, USA",
  classification = "723",
  fjournal =     "IEEE Software",
  journal-URL =  "http://www.computer.org/portal/web/csdl/magazines/software",
  journalabr =   "IEEE Software",
  keywords =     "computer programming languages; computer software ---
                 Portability; lisp; portable common lisp version; Reduce
                 symbolic algebra package",
}

@Article{Brackx:1987:CAR,
  author =       "Freddy Brackx and Denis Constales and Richard Delanghe
                 and Herman Serras",
  title =        "{Clifford} algebra with {REDUCE}",
  journal =      "Rend. Circ. Mat. Palermo (2) Suppl.",
  volume =       "16",
  pages =        "11--19",
  year =         "1987",
  MRclass =      "15A66 (68Q40 68U30)",
  MRnumber =     "946708 (89i:15035)",
  MRreviewer =   "Horia Scutaru",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Proceedings of the Winter School on Geometry and
                 Physics (Srn{\'\i}, 1987).",
  acknowledgement = ack-nhfb,
  fjournal =     "Rendiconti del Circolo Matematico di Palermo. Serie
                 II. Supplemento",
  keywords =     "Reduce computer-algebra system",
}

@InProceedings{Dulyan:1987:CQT,
  author =       "L. S. Dulyan",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "The Calculation of {QCD} Triangular {Feynman} Graphs
                 in the External Gluonic Field Using {REDUCE-2} System",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "172--173",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Eastwood:1987:OAR,
  author =       "James W. Eastwood",
  title =        "{ORTHOVEC}: {A REDUCE} Program for {3-D} Vector
                 Analysis in Orthogonal Curvilinear Coordinates",
  journal =      j-COMP-PHYS-COMM,
  volume =       "47",
  number =       "1",
  pages =        "139--147",
  month =        oct,
  year =         "1987",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/0010-4655(87)90073-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1110 (Algebra); C7310 (Mathematics); C7320 (Physics
                 and Chemistry)",
  corpsource =   "Culham Lab., UKAEA, Abingdon, UK",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "addition; algebra; cross products; curl;
                 differentiation; div; division; expansion; grad;
                 integration; Laplacian; mathematics; modulus;
                 operations; orthogonal curvilinear coordinates;
                 ORTHOVEC; physics computing; procedures; REDUCE;
                 scalars; subtraction; Taylor; vectors",
  treatment =    "P Practical",
}

@Article{Elishakoff:1987:ASA,
  author =       "Isaac Elishakoff and Brian Couch",
  title =        "Application of Symbolic Algebra to the Instability of
                 a Nonconservative System",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "4",
  number =       "3",
  pages =        "391--396",
  month =        dec,
  year =         "1987",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0230 (Function theory, analysis); A0270
                 (Computational techniques); A4630L (Buckling and
                 instability); C1110 (Algebra); C1120 (Analysis); C7310
                 (Mathematics); C7320 (Physics and Chemistry)",
  corpsource =   "Dept. of Mech. Eng., Naval Postgraduate Sch.,
                 Monterey, CA, USA",
  countrypub =   "UK A07",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra; buckling; computer; computing; differential
                 equations; flutter buckling; follower force;
                 foundation; Galerkin method; instability; manipulation;
                 mathematics; mechanical stability; nonconservative
                 system; physics computing; Reduce; REDUCE, physics;
                 symbol; symbolic algebra; tapered column; uniform
                 elastic",
  treatment =    "T Theoretical or Mathematical",
  xxtitle =      "Applications of Symbolic Algebra to the Instability of
                 a Nonconservative System",
}

@Manual{Gates:1987:GUM,
  author =       "B. L. Gates",
  title =        "{GENTRAN} User's Manual, {REDUCE} Version",
  organization = "The RAND Corporation",
  address =      "Santa Monica, CA, USA",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/auto.diff.bib",
  referred =     "[Gold91a].",
}

@Article{Greenberg:1987:CAA,
  author =       "Harvey J. Greenberg",
  title =        "Computer-Assisted Analysis for Diagnosing Infeasible
                 or Unbounded Linear Programs",
  journal =      j-MATH-PROG-STUDY,
  volume =       "31",
  number =       "??",
  pages =        "79--97",
  month =        sep,
  year =         "1987",
  CODEN =        "MPSTDF",
  ISSN =         "0303-3929",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classification = "723; 921",
  fjournal =     "Mathematical Programming Study",
  journalabr =   "Math Program Study",
  keywords =     "coefficient screening; computer aided analysis; cycle
                 generation; infeasibility; mathematical programming,
                 linear; Reduce procedures; unbounded linear programs",
}

@TechReport{Hearn:1987:RUM,
  author =       "Anthony C. Hearn",
  title =        "{REDUCE} User's Manual, {Version} 3.3",
  type =         "Report",
  number =       "CP 78",
  institution =  "The RAND Corporation",
  address =      "Santa Monica, CA, USA",
  month =        jul,
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib",
  keywords =     "Reduce",
}

@InProceedings{Kazasov:1987:LTR,
  author =       "C. Kazasov",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "{Laplace} Transformations in {REDUCE 3}",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "132--133",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Kornyak:1987:RPC,
  author =       "V. V. Kornyak and R. N. Fedorova",
  title =        "A {REDUCE} Program to Calculate Determining Equations
                 of {Lie-Baecklund} Symmetries of Differential
                 Equations",
  number =       "P11-87-19",
  institution =  "J.I.N.R.",
  address =      "Dubna, USSR",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Kryukov:1987:CAD,
  author =       "A. P. Kryukov and A. Ya. Rodinov",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "{CTS} --- Algebraic Debugging System for {REDUCE}
                 Programs",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "233--243",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Kryukov:1987:PCR,
  author =       "A. P. Kryukov and A. Ya. Rodinov and V. A.
                 Rostovtsev",
  title =        "Pattern Compilation in {REDUCE}",
  number =       "P11-87-302",
  institution =  "J.I.N.R.",
  address =      "Dubna, USSR",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@InProceedings{Liska:1987:EPF,
  author =       "R. Liska and D. Drska",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "Evaluation of Plasma Fluid Equations Collision
                 Integrals Using {REDUCE}",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "178",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Ogilvie:1987:ASC,
  author =       "J. F. Ogilvie and R. H. Tipping",
  title =        "On the Analytic Solution by Computer Algebra of Some
                 Problems in the Vibration-rotational Spectroscopy of
                 Diatomic Molecules",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "3",
  number =       "3",
  pages =        "277--281",
  month =        jun,
  year =         "1987",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "81G55 (65V05 81-08)",
  MRnumber =     "88h:81242",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A3120 (Specific calculations and results); A3310J
                 (Vibrational-rotational analysis); A3320 (Molecular
                 spectra grouped by wavelength ranges)",
  corpsource =   "Res. Sch. of Chem., Inst. of Adv. Studies, Australian
                 Nat. Univ., Canberra, ACT, Australia",
  countrypub =   "UK A05",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "analytic solution; chemistry, REDUCE; coefficients;
                 computational techniques; computer algebra; diatomic
                 molecules; Dunham theory; expectation values; frequency
                 data; Herman-Wallis; intensity data; matrix elements;
                 molecular energy level calculations; molecular
                 rotation-; molecules; spectra of diatomic inorganic;
                 term-value coefficients; vibration calculations;
                 vibration-rotational spectroscopy",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Rayna:1987:RSA,
  author =       "Gerhard Rayna",
  title =        "{REDUCE}\emdash Software for Algebraic Computation",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 329",
  year =         "1987",
  ISBN =         "0-387-96598-X (New York), 3-540-96598-X (Berlin)",
  ISBN-13 =      "978-0-387-96598-7 (New York), 978-3-540-96598-5
                 (Berlin)",
  LCCN =         "QA155.7.E4 R39 1987",
  bibdate =      "Wed Dec 15 10:41:10 1993",
  bibsource =    "Ai/Constr.logic.prog.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Misc/beebe.bib; Theory/Comp.Alg.1.bib;
                 Theory/Comp.Alg.bib",
  series =       "Symbolic Computation --- Artificial Intelligence",
  notes =        "{\footnotesize Dieser Band enth{\"a}lt eine gute
                 Einf{\"u}hrung in die algebraische Version von REDUCE
                 vom gleichen Autor, der schon das Manual geschrieben
                 hat, das zusammen mit dem REDUCE System verteilt wird,
                 geht im Umfang aber erheblich dar{\"u}ber hinaus.
                 \hfill F.~Schwarz}",
}

@Article{Schrufer:1987:ECC,
  author =       "Eberhard Schr{\"u}fer and Friedrich W. Hehl and J.
                 Dermott McCrea",
  title =        "Exterior Calculus on the Computer: The
                 {REDUCE}-Package {EXCALC} Applied to General Relativity
                 and to the {Poincar{\'e}} Gauge Theory",
  journal =      j-GEN-RELATIVITY-GRAV,
  volume =       "19",
  number =       "2",
  pages =        "197--218",
  month =        feb,
  year =         "1987",
  CODEN =        "GRGVA8",
  DOI =          "http://dx.doi.org/10.1007/BF00770331",
  ISSN =         "0001-7701 (print), 1572-9532 (electronic)",
  ISSN-L =       "0001-7701",
  MRclass =      "58-04 (58A10 68Q40 83-04 83D05)",
  MRnumber =     "876603 (88b:58001)",
  MRreviewer =   "R. A. d'Inverno",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0270 (Computational techniques); A0420 (General
                 relativity); A0460 (Quantum theory of gravitation);
                 A1110N (Gauge field theories); C7320 (Physics and
                 Chemistry)",
  comment =      "Application of {EXCALC/REDUCE}, including review of
                 other systems, and description of {EXCALC}.",
  corpsource =   "Inst. F1-P, GMD, St. Augustin, West Germany",
  fjournal =     "General Relativity and Gravitation",
  journal-URL =  "http://link.springer.com/journal/10714",
  keywords =     "computer algebra system; EXCALC package; gauge field
                 theory; general relativity; physics computing;
                 Poincar{\'e} gauge; quantum field theory of
                 gravitation; REDUCE calculations; Reduce
                 computer-algebra system; sensor-analytical; theory of
                 gravity",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Shablygin:1987:IEH,
  author =       "E. Shablygin",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "Integral Equation with Hidden Eigenparameter Solver:
                 {REDUCE} and {FORTRAN} in Tandem",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "186--191",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Spiridonova:1987:SEA,
  author =       "M. Spiridonova",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "Some extensions and Applications of {REDUCE} System",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "136--137",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Suzuki:1987:FTS,
  author =       "Hiromi Suzuki and Shinichi Iwamoto",
  title =        "Fast Transient Stability Solution Using Algebraic
                 Processing Language `{Reduce}'",
  journal =      "Electrical Engineering in Japan (English translation
                 of Denki Gakkai Ronbunshi)",
  volume =       "107",
  number =       "4",
  pages =        "51--59",
  month =        jul # "\slash " # aug,
  year =         "1987",
  CODEN =        "EENJAU",
  ISSN =         "0424-7760",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Waseda Univ, Jpn",
  classification = "706; 723; 921",
  journalabr =   "Electr Eng Jpn",
  keywords =     "algebraic processing language; computer programming
                 languages --- Applications; electric power systems;
                 mathematical techniques --- Algebra; Reduce; Stability;
                 Taylor series expansion",
}

@InProceedings{Umeno:1987:SPC,
  author =       "Takaji Umeno and Kenichi Abe and Syuichi Yamashita and
                 Osami Saito",
  booktitle =    "????",
  title =        "Software Package for Control Design Based on the
                 Algebraic Theory Using Symbolic Manipulation Language
                 {Reduce}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "1102--1106",
  year =         "1987",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "IEEE Service Cent. Piscataway, NJ, USA.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Toyohashi Univ of Technology, Aichi, Jpn",
  classification = "723; 731",
  conference =   "Proceedings --- TENCON 87: 1987 IEEE Region 10
                 Conference, 'Computers and Communications Technology
                 Toward 2000'.",
  keywords =     "algebraic theory; Computer Aided Design; computer
                 programming languages --- lisp; computer software ---
                 Software Engineering; control design; control systems;
                 software package; symbolic manipulation language
                 Reduce",
  meetingaddress = "Seoul, S Korea",
  sponsor =      "IEEE, Korea Section; IEEE, Region 10; Korea Inst of
                 Electronic Engineers, South Korea",
}

@Article{vandenHeuvel:1987:SSP,
  author =       "P. {van den Heuvel} and B. J. A. Hulshof and J. A.
                 {van Hulzen}",
  title =        "Some Simple {Pretty-Print} Facilities for {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "21",
  number =       "1",
  pages =        "14--17",
  month =        feb,
  year =         "1987",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Sat Aug 13 17:21:21 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib;
                 Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  keywords =     "documentation; Reduce, theory",
  subject =      "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Languages and Systems, REDUCE \\ D.3.3 Software,
                 PROGRAMMING LANGUAGES, Language Constructs, Procedures,
                 functions, and subroutines \\ D.2.3 Software, SOFTWARE
                 ENGINEERING, Coding, Pretty printers",
}

@TechReport{Vinitsky:1987:URS,
  author =       "S. I. Vinitsky and V. A. Rostovtsev",
  title =        "A Use of {REDUCE} System in Problems of Hydrogen Atom
                 in an Electric Field",
  type =         "Preprint",
  number =       "P11-87-303",
  institution =  "J.I.N.R.",
  address =      "Dubna, USSR",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Yamamoto:1987:RIP,
  author =       "T. Yamamoto and Y. Aoki",
  booktitle =    "Proc. {EUROCAL} '87, Lecture Notes in Computer
                 Science",
  title =        "{REDUCE} 3.2 on {iAPX 86/286}-based Personal
                 Computers",
  volume =       "378",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "134--135",
  year =         "1987",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Bamberger:1988:EVP,
  author =       "L. Bamberger",
  title =        "An error validation package for {REDUCE}",
  crossref =     "Anonymous:1988:EPT",
  volume =       "1",
  pages =        "467--474",
  year =         "1988",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics)",
  corpsource =   "Siemens AG, Munich, West Germany",
  keywords =     "computer algebra system; error validation package;
                 Esprit project 1072; floating point package validfloat;
                 ill-conditioned situations; mathematics computing;
                 numerical problems; REDUCE; software packages;
                 symbolic; validated error bounds",
  treatment =    "P Practical",
}

@Article{Bogdanova:1988:RPE,
  author =       "N. Bogdanova and H. Hogreve",
  title =        "A {REDUCE} Package for Exact {Coulomb} Interaction
                 Matrix Elements",
  journal =      j-COMP-PHYS-COMM,
  volume =       "48",
  number =       "2",
  pages =        "319--326",
  month =        feb,
  year =         "1988",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@InProceedings{Chaffy-Camus:1988:ARA,
  author =       "C. Chaffy-Camus",
  booktitle =    "Proc. of {ISSAC} '88",
  title =        "An Application of {REDUCE} to the Approximation of $
                 f(x, y) $",
  volume =       "358",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "73--84",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Darbaidze:1988:SCR,
  author =       "Ya. Z. Darbaidze and Z. V. Merebashvili and V. A.
                 Rostovtsev",
  title =        "Some Computer Realizations of the {REDUCE-3}
                 Calculations for Exclusive Processes",
  type =         "Preprint",
  number =       "P2-88-769",
  institution =  "J.I.N.R.",
  address =      "Dubna, USSR",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Davenport:1988:CAA,
  author =       "J. H. Davenport",
  title =        "Computer Algebra Applied to Itself",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "6",
  number =       "1",
  pages =        "127--132",
  month =        aug,
  year =         "1988",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40 (12-04 12D10)",
  MRnumber =     "89m:68072",
  MRreviewer =   "D. Z. Spicer",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C4130 (Interpolation and function
                 approximation)",
  corpsource =   "Sch. of Math. Sci., Bath Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "complexity analysis; Complexity, Real root isolation,
                 REDUCE; computer algebra; mathematics computing;
                 polynomials; Reduce; roots of",
  treatment =    "P Practical",
}

@TechReport{dosSantos:1988:IAS,
  author =       "Renato P. {dos Santos}",
  title =        "Introdu{\c{c}}{\~a}o ao Sistema {REDUCE} de
                 {C}{\'a}lculo Alg{\'e}brico",
  number =       "CBPF-NT-001/88",
  institution =  "CBPF",
  address =      "Rio de Janeiro, Brazil",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "{(In Portuguese)} Lecture notes of a course on
                 {REDUCE}.",
}

@InProceedings{Elishakoff:1988:NRV,
  author =       "Isaac Elishakoff and Charles D. Hettema",
  editor =       "P. D. (Pol D.) Spanos",
  booktitle =    "Probabilistic Methods in Civil Engineering (May 25--27
                 1988: Blacksburg, VA, USA)",
  title =        "Nonstationary random vibration with {REDUCE}",
  publisher =    "ASCE",
  address =      "New York, NY, USA",
  pages =        "529--532",
  year =         "1988",
  ISBN =         "0-87262-659-8",
  ISBN-13 =      "978-0-87262-659-1",
  LCCN =         "TA340 .P7351 1988",
  bibdate =      "Mon May 11 18:13:05 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Technion Israel Inst of Technology",
  affiliationaddress = "Haifa, Isr",
  classification = "408; 723; 922; 931",
  conference =   "Probabilistic Methods in Civil Engineering,
                 Proceedings of the 5th ASCE Specialty Conference",
  conferenceyear = "1988",
  keywords =     "Closed-Form Solutions; Computer Aided Analysis;
                 Computer Software; Nonstationarity; Random Vibration;
                 Software Package Reduce; Structural
                 Analysis--Computation; Vibrations",
  meetingabr =   "Probab Methods Civ Eng Proc 5th ASCE Spec Conf",
  meetingaddress = "Blacksburg, VA, USA",
  meetingdate =  "May 25--27 1988",
  meetingdate2 = "05/25--27/88",
  sponsor =      "ASCE, Engineering Mechanics Div, New York, NY, USA;
                 ASCE, Structural Div, New York, NY, USA; ASCE,
                 Geotechnical Engineering Div, New York, NY, USA;
                 Virginia Polytechnic Inst \& State Univ, Blacksburg,
                 VA, USA",
}

@TechReport{Ganzha:1988:ARC,
  author =       "Victor G. Ganzha and Richard Liska",
  title =        "Application of the {Reduce} Computer Algebra System to
                 Stability Analysis of Difference Schemes",
  institution =  "????",
  address =      "M{\"{u}}nchen, Germany",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Misc/TUBScsd.bib",
  annote =       "the Stability Regions of Difference Schemes
                 Approximating Systems of Linear Partial Differential
                 Equations Are Automatically Obtained By Using the
                 Computer Algebra System Reduce and Numerical Methods
                 For Polynomial Roots Location. the Stability Analysis
                 Is Performed By the Fourier Method and Polynomial Root
                 Location Is Based on the Routh Algorithm. Several
                 Practical Examples Show the Usefulness of the Programs
                 Described.",
  descriptor =   "Lineare Partielle Differentialgleichung, Reduce,
                 Computeralgebra",
}

@TechReport{Ganzha:1988:KUD,
  author =       "Victor G. Ganzha and Reinhard Foessmeier",
  title =        "{Konstruktion und Untersuchung von
                 Differenzenoperationen mit dem Reduce-system}",
  institution =  "????",
  address =      "M{\"{u}}nchen, Germany",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Misc/TUBScsd.bib",
  annote =       "Bericht Nr. Tum/8808",
  descriptor =   "Computeralgebra, Reduce, Symbol-manipulation",
}

@Article{Gebauer:1988:IBA,
  author =       "R{\"u}diger Gebauer and H. Michael M{\"o}ller",
  title =        "On an Installation of {Buchberger}'s Algorithm",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "6",
  number =       "2--3",
  pages =        "275--286",
  month =        oct # "\slash " # dec,
  year =         "1988",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "13P10 (68Q40)",
  MRnumber =     "91a:13014",
  MRreviewer =   "Ferdinando Mora",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  note =         "Computational aspects of commutative algebra.",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C6130 (Data handling techniques);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Springer-Verlag, New York, NY, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "polynomials; symbol manipulation; Buchberger algorithm
                 installation; Gr{\"o}bner bases; polynomial ideals;
                 superfluous reductions; redundant; elements; module of
                 syzygies; SCRATCHPAD II; REDUCE 3.3; computational
                 properties",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Grozin:1988:SPPa,
  author =       "A. G. Grozin",
  title =        "Solving Physical Problems with {REDUCE. 1. REDUCE}
                 Language {2. Classical} Nonlinear Oscillator",
  type =         "Preprint",
  number =       "88-115",
  institution =  "Institute of Nuclear Physics",
  address =      "630090, Novosibirsk, USSR",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "This preprint is the first part of the problem book on
                 using {REDUCE} in physics. It contains many examples
                 useful for the construction of programs for solving
                 physical problems of very different nature. This part
                 contains examples illustrating {REDUCE} language (sect.
                 1) and the problem of classical nonlinear oscillator
                 (sect. 2). To be published (with additions) as a book
                 with ``Nauka'' publishers, Moscow.",
}

@TechReport{Grozin:1988:SPPb,
  author =       "A. G. Grozin",
  title =        "Solving Physical Problems with {REDUCE. 3. Nonlinear}
                 Water Waves {4. Calculation} of the Curvature Tensor
                 {5. Angular} Momentum Addition",
  type =         "Preprint",
  number =       "88-136",
  institution =  "Institute of Nuclear Physics",
  address =      "630090, Novosibirsk, USSR",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "This preprint is the second part of the problem book
                 on using {REDUCE} in physics. It contains many examples
                 useful for the construction of programs for solving
                 physical problems of very different nature. This part
                 contains the problem of nonlinear water waves (sect.
                 3), the calculation of the curvature tensor (sect. 4)
                 and angular momentum addition (sect. 5).",
}

@TechReport{Grozin:1988:SPPc,
  author =       "A. G. Grozin",
  title =        "Solving Physical Problems with {REDUCE. 6. Quantum}
                 Nonlinear Oscillator {7. Rotator} in a Weak Field {8.
                 Radiative} Transitions in Charmonium",
  type =         "Preprint",
  number =       "88-140",
  institution =  "Institute of Nuclear Physics",
  address =      "630090, Novosibirsk, USSR",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "This preprint is the last part of the problem book on
                 using {REDUCE} in physics. It contains many examples
                 useful for the construction of programs for solving
                 physical problems of very different nature. This part
                 contains the problem of quantum nonlinear oscillator
                 (sect. 6), rotator in a weak field (sect. 7) and
                 radiative transitions in charmonium (sect. 8).",
}

@Article{Ito:1988:RPH,
  author =       "Masaaki Ito",
  title =        "A {REDUCE} Program for {Hirota's} Bilinear Operator
                 and {Wronskian} Operations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "50",
  number =       "3",
  pages =        "321--330",
  month =        aug,
  year =         "1988",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@TechReport{Kryukov:1988:NPT,
  author =       "A. P. Kryukov and A. Ya. Rodinov and V. A.
                 Rostovtsev",
  title =        "New Programming Tools for Computing Substitution Rules
                 in {REDUCE} System",
  number =       "P11-88-402",
  institution =  "J.I.N.R.",
  address =      "Dubna, USSR",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  annote =       "New programming tools allowing to compile patterns in
                 REDUCE system are described. A guide for using these
                 tools and examples of their working are presented.",
  comment =      "New programming tools allowing to compile patterns in
                 {REDUCE} system are described. A guide for using these
                 tools and examples of their working are presented.",
  keywords =     "Reduce",
}

@InProceedings{MacCallum:1988:ODE,
  author =       "M. A. H. MacCallum",
  booktitle =    "Proc. of {ISSAC} '88",
  title =        "An Ordinary Differential Equation Solver for
                 {REDUCE}",
  volume =       "358",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "196--205",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Marti:1988:GIR,
  author =       "J. Marti",
  booktitle =    "Proc. {AAECC-6} 1988, Lecture Notes in Computer
                 Science",
  title =        "A Graphics Interface to {REDUCE}",
  volume =       "357",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "274--296",
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Melenk:1988:GBC,
  author =       "Herbert Melenk and H. M. M{\"o}ller and Winfried
                 Neun",
  title =        "On Gr{\"o}bner Bases Computation on a Supercomputer
                 Using {REDUCE}",
  type =         "Technical Report",
  number =       "Preprint SC 88-2",
  institution =  "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik Berlin
                 ZIB",
  address =      "Berlin, Germany",
  month =        jan,
  year =         "1988",
  bibsource =    "Ai/Ai.misc.bib; Ai/lisp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  keywords =     "LISP",
}

@TechReport{Moritsugu:1988:PIF,
  author =       "S. Moritsugu and E. Goto",
  title =        "A Proposal for Improvement of Facilities of {REDUCE}",
  institution =  "Department of Information Science, University of
                 Tokyo",
  address =      "Tokyo, Japan",
  month =        dec,
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@Article{Ollongren:1988:PRF,
  author =       "Alexander Ollongren",
  title =        "On a particular restricted five-body problem: an
                 analysis with computer algebra",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "6",
  number =       "1",
  pages =        "117--127 (or 117--126??)",
  month =        aug,
  year =         "1988",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "70F10 (70-04)",
  MRnumber =     "89j:70015",
  MRreviewer =   "Fu Tong",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics)",
  corpsource =   "Dept. of Math. and Comput. Sci., Leiden Univ.,
                 Netherlands",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "celestial mechanics; computer algebra; Lagrangian
                 points of equilibrium; linear stability analysis;
                 mathematics computing; MuMATH; particular restricted
                 five-body problem; REDUCE",
  treatment =    "P Practical",
  xxtitle =      "On a Restricted Five-Body Problem: An Analysis with
                 Computer Algebra",
}

@Article{Ronveaux:1988:PSR,
  author =       "A. Ronveaux and G. Thiry",
  title =        "Polynomial solution of recurrence relation and
                 differential equation",
  journal =      j-SIGSAM,
  volume =       "22",
  number =       "4",
  pages =        "9--19",
  month =        oct,
  year =         "1988",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:00 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Fac. Univ. N-D de la Paix, Namur, Belgium",
  fjournal =     "SIGSAM Bulletin",
  issue =        "86",
  keywords =     "algorithms; compatibility criterion; differential
                 equation; differential equations; homogeneous
                 differential equation; implementation; orthogonal
                 polynomials; polynomials; recurrence relation; REDUCE;
                 second order linear; symbolic matrix triangularization;
                 theory",
  subject =      "I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Languages and Systems, REDUCE \\ F.2.1 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on polynomials",
  treatment =    "P Practical",
}

@Article{Sage:1988:ATQ,
  author =       "Martin L. Sage",
  title =        "An algebraic treatment of quantum vibrations using
                 {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "5",
  number =       "3",
  pages =        "377--384",
  month =        jun,
  year =         "1988",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "81-04",
  MRnumber =     "946 589",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  note =         "See erratum \cite{Sage:1989:EAT}.",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130 (Data handling techniques); C7320 (Physics and
                 Chemistry)",
  corpsource =   "Dept. of Chem., Syracuse Univ., NY, USA",
  countrypub =   "UK A08",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebraic; algebraic treatment; chemistry; eigenvalue;
                 manipulations; mathematical physics; non-commuting,
                 physics, chemistry; physics computing; problems;
                 quantum vibrations; REDUCE; Reduce; symbol
                 manipulation; two dimensional nearly harmonic
                 oscillator",
  treatment =    "P Practical; T Theoretical or Mathematical",
  xxtitle =      "An Algebraic Treatment of Quantum Vibration Using
                 {REDUCE}",
}

@InProceedings{Saito:1988:DUA,
  author =       "O. Saito and K. Abe and M. Kanno and S. Sobue and T.
                 Umeno",
  booktitle =    "Preprints of the 4th IFAC Symposium on Computer Aided
                 Design in Control Systems --- CADCS '88",
  title =        "Development of User Adaptive {CAD} System for Control
                 Engineering Using {REDUCE}",
  publisher =    "????",
  address =      "Beijing, P. R. China",
  pages =        "333--338",
  day =          "23--25",
  month =        aug,
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Misc/cacsd.bib",
}

@Article{Saito:1988:SMC,
  author =       "Osami Saito and Mikihito Kanno and Kenichi Abe",
  title =        "Symbolic Manipulation {CAD} of Control Engineering by
                 Using {Reduce}",
  journal =      j-INT-J-CONTROL,
  volume =       "48",
  number =       "2",
  pages =        "781--790",
  month =        aug,
  year =         "1988",
  CODEN =        "IJCOAZ",
  ISSN =         "0020-7179",
  ISSN-L =       "0020-7179",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Toyohashi Univ of Technology, Toyohashi, Jpn",
  classification = "723; 731; 921",
  fjournal =     "International Journal of Control",
  journalabr =   "Int J Control",
  keywords =     "Computer Aided Design; computer programming languages;
                 control engineering; control systems; numerical
                 computation languages; symbolic computation; symbolic
                 manipulation",
}

@Article{Savage:1988:SCF,
  author =       "S. B. Savage",
  title =        "Symbolic computation of the flow of granular
                 avalanches",
  journal =      "American Society of Mechanical Engineers, Heat
                 Transfer Division, (Publication) HTD",
  volume =       "105",
  pages =        "57--63",
  year =         "1988",
  CODEN =        "ASMHD8",
  ISSN =         "0272-5673",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "ETH",
  affiliationaddress = "Zurich, Switz",
  classification = "482; 722; 723; 921; 931",
  conference =   "Symbolic Computation in Fluid Mechanics and Heat
                 Transfer",
  conferenceyear = "1988",
  journalabr =   "ASME Heat Transfer Div Publ HTD",
  keywords =     "Computer Algebra Package; Computer Operating
                 Systems--Program Translators; Computer Programming
                 languages--lisp; Computers, Digital--Computational
                 Methods; Equations of Motion--Computation; Eulerian
                 Finite Difference Scheme; Flow of Solids; Granular
                 Materials; Loose Snow Avalanches; Mathematical
                 Techniques--Perturbation Techniques; Rockfalls Motion;
                 Shanks Transformations; Symbolic Manipulation Package
                 Reduce",
  meetingaddress = "Chicago, IL, USA",
  meetingdate =  "Nov 27--Dec 2 1988",
  meetingdate2 = "11/27--12/02/88",
  sponsor =      "ASME, Applied Mechanics Div, New York, NY, USA",
}

@Article{Schrufer:1988:CNE,
  author =       "Eberhard Schr{\"u}fer",
  title =        "A comment on {``A note on Einstein metrics''}",
  journal =      j-SIGSAM,
  volume =       "22",
  number =       "3",
  pages =        "22--26",
  month =        jul,
  year =         "1988",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:26:59 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "GMD, Inst. F1-P, St. Augustin, West Germany",
  fjournal =     "SIGSAM Bulletin",
  issue =        "85",
  keywords =     "Cartan; coding; efficiency gains; Einstein Metrics;
                 EXCALC; exterior forms; field equations; matrix
                 algebra; measurement; performance; REDUCE testfile;
                 theory",
  subject =      "F.2.2 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations \\
                 I.1.3 Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Languages and Systems, REDUCE",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Schwarz:1988:RPD,
  author =       "F. Schwarz",
  title =        "A {REDUCE} package for determining first integrals of
                 autonomous systems of ordinary differential equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "39",
  pages =        "285--296",
  year =         "1988",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "autonomous systems ODEs",
}

@Book{Stauffer:1988:CSC,
  author =       "Dietrich Stauffer and F. W. Hehl and V. Winkelmann and
                 J. G. Zabolitzky",
  title =        "Computer simulation and computer algebra: lectures for
                 beginners",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 155",
  year =         "1988",
  ISBN =         "0-387-18909-2",
  ISBN-13 =      "978-0-387-18909-3",
  LCCN =         "QA76.9.C65 C656 1988",
  bibdate =      "Fri Nov 01 07:18:40 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{vanHeerwaarden:1988:PPF,
  author =       "M. C. {van Heerwaarden} and J. A. {van Hulzen}",
  title =        "Pretty Print Facilities for {REDUCE}",
  type =         "Memorandum",
  number =       "INF-88-36",
  institution =  "Twente University of Technology, Department of
                 Computer Science",
  address =      "Enschede, The Netherlands",
  month =        aug,
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@TechReport{vanHulzen:1988:FMM,
  author =       "J. A. {van Hulzen}",
  title =        "Formule Manipulatie m.b.v. {REDUCE} (in {Dutch})",
  institution =  "Twente University of Technology, Department of
                 Computer Science",
  address =      "Enschede, The Netherlands",
  month =        oct,
  year =         "1988",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
  keywords =     "Reduce",
}

@InProceedings{Abdali:1989:EQR,
  author =       "S. K. Abdali and D. S. Wiset",
  title =        "Experiments with quadtree representation of matrices",
  crossref =     "Gianni:1989:SAC",
  pages =        "96--108",
  year =         "1989",
  bibdate =      "Thu Sep 26 06:21:35 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "The quadtrees matrix representation has been recently
                 proposed as an alternative to the conventional linear
                 storage of matrices. If all elements of a matrix are
                 zero, then the matrix is represented by an empty tree;
                 otherwise it is represented by a tree consisting of
                 four subtrees, each representing, recursively, a
                 quadrant of the matrix. Using four-way block
                 decomposition, algorithms on quadtrees accelerate on
                 blocks entirely of zeros, and thereby offer improved
                 performance on sparse matrices. The paper reports the
                 results of experiments done with a quadtree matrix
                 package implemented in REDUCE to compare the
                 performance of quadtree representation with REDUCE's
                 built-in sequential representation of matrices. Tests
                 on addition, multiplication, and inversion of dense,
                 triangular, tridiagonal, and diagonal matrices (both
                 symbolic and numeric) of sizes up to 100*100 show that
                 the quadtree algorithms perform well in a broad range
                 of circumstances, sometimes running orders of magnitude
                 faster than their sequential counterparts.",
  acknowledgement = ack-nhfb,
  affiliation =  "Tektronix Labs., Beaverton, OR, USA",
  classification = "C1110 (Algebra); C1160 (Combinatorial mathematics);
                 C4140 (Linear algebra); C6120 (File organisation);
                 C7310 (Mathematics)",
  keywords =     "Addition; Dense matrices; Diagonal matrices; Empty
                 tree; Four-way block decomposition; Inversion;
                 Multiplication; Performance comparison; Quadrant;
                 Quadtree algorithms; Quadtree matrix package; Quadtrees
                 matrix representation; REDUCE; Sparse matrices;
                 Subtrees; Triangular matrices; Tridiagonal matrices;
                 Zero elements",
  thesaurus =    "Data structures; Mathematics computing; Matrix
                 algebra; Trees [mathematics]",
}

@Article{Antweiler:1989:TRI,
  author =       "Werner Antweiler and Andreas Strotmann and Volker
                 Winkelmann",
  title =        "A {\TeX}-{REDUCE} Interface",
  journal =      j-SIGSAM,
  volume =       "23",
  number =       "2",
  pages =        "26--33",
  month =        apr,
  year =         "1989",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Tue Feb 13 07:15:13 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib; Theory/sigsam.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  keywords =     "algorithms; design; performance; verification",
  subject =      "I.3.1 Computing Methodologies, COMPUTER GRAPHICS,
                 Hardware architecture, Raster display devices \\ I.7.1
                 Computing Methodologies, TEXT PROCESSING, Text Editing,
                 \TeX{}",
  xxnote =       "Check issue/month??",
}

@Article{Antweiler:1989:TSE,
  author =       "W. Antweiler and A. Strotmann and V. Winkelmann",
  title =        "A {{\TeX-REDUCE}} interface",
  journal =      j-SIGSAM,
  volume =       "23",
  number =       "2",
  pages =        "26--33",
  month =        apr,
  year =         "1989",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C6130 (Data handling techniques);
                 C7230 (Publishing and reproduction); C6140D (High level
                 languages); C6110 (Systems analysis and programming)",
  corpsource =   "Cologne Univ., Comput. Center, West Germany",
  fjournal =     "SIGSAM Bulletin",
  keywords =     "algebra; algebraic; algorithms; capabilities; computer
                 controlled typesetting; E/X-REDUCE-interface; high
                 level; high quality output; indentation; languages;
                 line breaking; manipulation; mathematics computing;
                 programming; readability; REDUCE formulas; REDUCE-Lisp;
                 symbol; T/sub; T/sub E/X; T/sub E/X output; typesetting
                 language; well known computer algebra system",
  treatment =    "P Practical",
}

@Article{Aoki:1989:LDA,
  author =       "Genya Aoki",
  title =        "Large deflection analysis by perturbation method using
                 symbolic manipulation system {REDUCE}",
  journal =      "Senpaku Gijutsu Kenkyusho Hokoku/Papers of Ship
                 Research Institute",
  volume =       "26",
  number =       "2",
  pages =        "21--27",
  month =        mar,
  year =         "1989",
  CODEN =        "SPGKAP",
  ISSN =         "0495-775X",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classification = "408; 921; 931",
  journalabr =   "Senpaku Gijutsu Kenkyusho Hokoku",
  keywords =     "Computer Programming --- Algorithms; Deflection;
                 Finite Element Method; Mathematical Techniques ---
                 Perturbation Techniques; Plates; Structural Analysis;
                 Structural Mechanics; Symbolic Manipulation System
                 'Reduce'",
}

@Article{Autin:1989:SEI,
  author =       "B. Autin and J. Bengtsson",
  title =        "Symbolic Evaluation of Integrals Occurring in
                 Accelerator Orbit Theory",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "2",
  pages =        "183--188 (or 183--187??)",
  month =        feb,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A2915 (Electrostatic and linear particle
                 accelerators); B7410 (Accelerators); C7320 (Physics and
                 Chemistry); C6130 (Data handling techniques)",
  corpsource =   "CERN, Geneva, Switzerland",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "accelerator orbit theory; automatic FORTRAN coding;
                 chromatic aberrations; computation; direct numerical
                 integration; generated functions; integrals;
                 manipulation; particle accelerators; Particle physics,
                 numerics; perturbation theory; physics computing;
                 symbol; symbolic; transverse oscillations",
  treatment =    "A Application; P Practical",
}

@Article{Brackx:1989:HMD,
  author =       "F. Brackx and D. Constales and A. Ronveaux and H.
                 Serras",
  title =        "On the Harmonic and Monogenic Decomposition of
                 Polynomials",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "8",
  number =       "3",
  pages =        "297--304",
  month =        sep,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "30-04 (30G35)",
  MRnumber =     "90i:30001",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1120 (Analysis)",
  corpsource =   "Seminarie voor Wiskundige Anal., Gent, Belgium",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Clifford analysis; decomposition; decomposition of
                 polynomials; Dirac; Euclidean space; harmonic; Laplace
                 operator; Minkowski spaces; monogenic; operator;
                 polynomials; procedures; REDUCE; REDUCE Polynomials
                 Inverting Operator; spherical harmonics",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Caprasse:1989:TCM,
  author =       "H. Caprasse",
  title =        "Les Th{\'e}ories des {Champs} dans le monde de
                 {REDUCE} (in {French})",
  journal =      "CALSYF",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Chaffy-Camus:1989:ARA,
  author =       "C. Chaffy-Camus",
  title =        "An application of {REDUCE} to the approximation of $
                 f(x, y) $",
  crossref =     "Gianni:1989:SAC",
  pages =        "73--84",
  year =         "1989",
  DOI =          "http://dx.doi.org/10.1007/3-540-51084-2_7",
  MRclass =      "41A21 (41A63)",
  MRnumber =     "1034722 (90m:41027)",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Pad{\'e} approximants are an important tool in
                 numerical analysis, to evaluate $ f(x) $ from its power
                 series even outside the disk of convergence, or to
                 locate its singularities. The paper generalizes this
                 process to the multivariate case and presents two
                 applications of this method: the approximation of
                 implicit curves and the approximation of double power
                 series. Computations are carried out on a computer
                 algebra system REDUCE.",
  acknowledgement = ack-nhfb,
  affiliation =  "TIM3-INPG, Grenoble, France",
  classcodes =   "C4130 (Interpolation and function approximation);
                 C7310 (Mathematics)",
  classification = "C4130 (Interpolation and function approximation);
                 C7310 (Mathematics)",
  corpsource =   "TIM3-INPG, Grenoble, France",
  keywords =     "Approximation; approximation; approximation theory;
                 Computer algebra system; computer algebra system;
                 Convergence; convergence; convergence of numerical
                 methods; curves; Double power series; double power
                 series; implicit; Implicit curves; mathematics
                 computing; Multivariate case; multivariate case;
                 Numerical analysis; numerical analysis; Pad{\'e}
                 approximants; Reduce; reduce; Reduce computer-algebra
                 system; Singularities; singularities; software
                 packages",
  thesaurus =    "Approximation theory; Convergence of numerical
                 methods; Mathematics computing; Software packages",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{DeVos:1989:URS,
  author =       "Alexis {De Vos}",
  title =        "The use of {Reduce} in solar energy conversion
                 theory",
  type =         "Reports of the {CAGe} Project",
  number =       "4",
  institution =  "State University of Gent, {CAGe} Computer Algebra
                 Group",
  address =      "Gent, Belgium",
  month =        aug,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Dewar:1989:IIS,
  author =       "M. C. Dewar",
  title =        "{IRENA}: an integrated symbolic and numerical
                 computation environment",
  crossref =     "Gonnet:1989:PAI",
  pages =        "171--179",
  year =         "1989",
  bibdate =      "Thu Sep 26 06:21:35 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Computer algebra systems provide an extremely
                 user-friendly and natural problem-solving environment,
                 but are comparatively slow and limited in the scope of
                 problems they can treat. Programs which call routines
                 from numerical software libraries are fast, but require
                 longer development and testing time, as well as forcing
                 potential users to describe their problems in what is,
                 to them, an unnatural form. Both approaches have
                 advantages and disadvantages, but until now it has been
                 rather difficult to mix the two. The author describes
                 IRENA, an interface between the computer algebra system
                 REDUCE and the NAG numerical subroutine library, which
                 provides the NAG user with the advantages of a computer
                 algebra system and the REDUCE user with the facilities
                 of an extensive library of numerical software. He
                 discusses how the two methods could be used
                 side-by-side to solve problems in definite
                 integration.",
  acknowledgement = ack-nhfb,
  affiliation =  "Sch. of Math. Sci., Bath Univ., UK",
  classification = "C4160 (Numerical integration and differentiation);
                 C6130 (Data handling techniques); C7310 (Mathematics)",
  keywords =     "Computer algebra system; Definite integration; IRENA;
                 NAG; Numerical software; Numerical subroutine library;
                 REDUCE",
  thesaurus =    "Integration; Mathematics computing; Symbol
                 manipulation; User interfaces",
}

@Article{dosSantos:1989:URS,
  author =       "Renato P. {dos Santos}",
  title =        "Using {REDUCE} in Supersymmetry",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "5",
  pages =        "523--525",
  month =        may,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A1130P (Supersymmetry); A0270 (Computational
                 techniques); C7320 (Physics and Chemistry); C7310
                 (Mathematics); C1110 (Algebra)",
  corpsource =   "Centro Brasileiro de Pesquisas Fisicas Rio de Janeiro,
                 Brazil",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebraic manipulator; physics computing; REDUCE;
                 supersymmetry; supersymmetry calculus; symbol
                 manipulation",
  treatment =    "A Application; T Theoretical or Mathematical",
  xxauthor =     "Renato P. {Dos Santos}",
}

@Article{Dudley:1989:CAD,
  author =       "M. L. Dudley and R. W. James",
  title =        "Computer-aided derivation of spherical harmonic
                 spectral equations in astro-geophysics",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "8",
  number =       "4",
  pages =        "423--427",
  month =        oct,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "86-08 (85-08 85A15 85A20 86A25)",
  MRnumber =     "90j:86001",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Appl. Math., Sydney Univ., NSW, Australia",
  classcodes =   "C7310 (Mathematics); C7350 (Astronomy and
                 astrophysics); C7340 (Geophysics)",
  classification = "C7310 (Mathematics); C7340 (Geophysics); C7350
                 (Astronomy and astrophysics)",
  corpsource =   "Dept. of Appl. Math., Sydney Univ., NSW, Australia",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Astro-geophysics; astro-geophysics; astrophysics
                 computing; Computer algebra programs; computer algebra
                 programs; Computer-aided derivation; computer-aided
                 derivation; computing; differential equations; Earth
                 core; equations; geophysics computing; MACSYMA;
                 Magnetic induction equation; magnetic induction
                 equation; MAPLE; Mathematical physics; mathematical
                 physics; Mathematical problems; mathematical problems;
                 mathematics; Modelling magnetohydrodynamic
                 interactions; modelling magnetohydrodynamic
                 interactions; Numerical solution; numerical solution;
                 partial; Partial differential equations; REDUCE;
                 Spectral analysis; spectral analysis; spectral
                 equations; spherical harmonic; Spherical harmonic
                 spectral equations; Stellar atmospheres; stellar
                 atmospheres; Stellar interiors; stellar interiors;
                 vector; Vector equations",
  thesaurus =    "Astrophysics computing; Geophysics computing;
                 Mathematics computing; Spectral analysis",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Dulyan:1989:CQT,
  author =       "L. S. Dulyan",
  title =        "The calculation of {QCD} triangular {Feynman} graphs
                 in the external gluonic field using {REDUCE-2} system",
  crossref =     "Davenport:1989:EEC",
  pages =        "172--173",
  year =         "1989",
  bibdate =      "Sun Oct 25 11:42:50 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A1235E (Applications of quantum chromodynamics to
                 particle properties and reactions); A0230 (Function
                 theory, analysis); A0210 (Algebra, set theory, and
                 graph theory); A1110 (Field theory); A1480D (Quarks and
                 gluons); A0270 (Computational techniques); C7320
                 (Physics and Chemistry); C7310 (Mathematics)",
  corpsource =   "Yerevan Phys. Inst., Armenian SSR, USSR",
  keywords =     "4-dimensional integrals; algebra; colour model;
                 derivatives calculation; differentiation;
                 differentiation operator; external gluonic field;
                 factorials; Feynman diagrams; gluons; physics
                 computing; polynomials; QCD triangular Feynman graphs;
                 REDUCE-2 system; substitutions; symbol manipulation;
                 symbolic; variable",
  sponsororg =   "Robotron; Rank Xerox",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Book{Edneral:1989:LAC,
  author =       "Viktor F. Edneral and Aleksandr P. Kryukov and
                 Anatolii Ia. Rodinov",
  title =        "The language of the analytic computer program
                 {REDUCE}",
  publisher =    "Moscow, {Izd-vo}, Moskovskogo {un-ta}",
  address =      "Moscow, USSR",
  pages =        "????",
  year =         "1989",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "This monograph --- first in The Soviet Union with a
                 systematic treatment of the analytical computer
                 (program) {REDUCE}.",
}

@InProceedings{Eldeib:1989:ASM,
  author =       "H. K. Eldeib and S. Tsai",
  editor =       "IEEE",
  booktitle =    "IEEE International Symposium on Intelligent Control,
                 1988. Proceedings, 24--26 August 1988, Arlington,
                 Virginia",
  title =        "Applications of symbolic manipulation in control
                 system analysis and design",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  bookpages =    "x + 768",
  pages =        "269--274",
  year =         "1989",
  ISBN =         "0-8186-2012-9",
  ISBN-13 =      "978-0-8186-2012-6",
  LCCN =         "TJ212.2 .I2 1988",
  bibdate =      "Thu Jul 26 06:10:56 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 IEEE Xplore database",
  acknowledgement = ack-nhfb,
  keywords =     "MACSYMA; Reduce",
}

@InProceedings{Fitch:1989:CRB,
  author =       "J. Fitch",
  title =        "Can {REDUCE} be run in parallel?",
  crossref =     "Gonnet:1989:PAI",
  pages =        "155--162",
  year =         "1989",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "In order to make a substantial improvement in the
                 performance of algebra systems it will eventually be
                 necessary to use a parallel execution system. This
                 paper considers one approach to detecting parallelism,
                 an automatic method related to compilation, and applies
                 it to REDUCE, and to the factoriser in particular.",
  acknowledgement = ack-nhfb,
  classcodes =   "C6150C (Compilers, interpreters and other processors);
                 C6130 (Data handling techniques); C7310 (Mathematics)",
  classification = "C6130 (Data handling techniques); C6150C (Compilers,
                 interpreters and other processors); C7310
                 (Mathematics)",
  keywords =     "algebra systems; Algebra systems; automatic method;
                 Automatic method; compilation; Compilation; compilers;
                 factoriser; Factoriser; mathematics computing; parallel
                 execution system; Parallel execution system; parallel
                 programming; parallelism; Parallelism; program; REDUCE;
                 symbol manipulation",
  sponsororg =   "ACM",
  thesaurus =    "Mathematics computing; Parallel programming; Program
                 compilers; Symbol manipulation",
  treatment =    "P Practical",
}

@InProceedings{Freire:1989:ASC,
  author =       "E. Freire and E. Gamero and E. Ponce and L. G.
                 Franquelo",
  title =        "An algorithm for symbolic computation of center
                 manifolds",
  crossref =     "Gianni:1989:SAC",
  pages =        "218--230",
  year =         "1989",
  bibdate =      "Thu Sep 26 06:21:35 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "A useful technique for the study of local bifurcations
                 is part of the center manifold theory because a
                 dimensional reduction is achieved. The computation of
                 Taylor series approximations of center manifolds gives
                 rise to several difficulties regarding the operational
                 complexity and the computational effort. Previous works
                 proceed in such a way that the computational effort is
                 not optimized. In the paper an algorithm for center
                 manifolds well suited to symbolic computation is
                 presented. The algorithm is organized according to an
                 iterative scheme making good use of the previous steps,
                 thereby minimizing the number of operations. The
                 results of two examples obtained through a REDUCE 3.2
                 implementation of the algorithm are included.",
  acknowledgement = ack-nhfb,
  affiliation =  "Escuela Superior Ingenieros Ind., Sevilla, Spain",
  classification = "C1120 (Analysis); C4130 (Interpolation and function
                 approximation); C4170 (Differential equations); C7310
                 (Mathematics)",
  keywords =     "Algorithm; Center manifold theory; Computational
                 effort; Dimensional reduction; Iterative scheme; Local
                 bifurcations; Operational complexity; REDUCE 3.2;
                 Symbolic computation; Taylor series approximations",
  thesaurus =    "Approximation theory; Differential equations;
                 Mathematics computing; Symbol manipulation",
}

@Article{Fushchich:1989:CAA,
  author =       "W. I. Fushchich and V. V. Kornyak",
  title =        "Computer algebra application for determining {Lie} and
                 {Lie--B{\"a}cklund} symmetries of differential
                 equations",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "6",
  pages =        "611--619",
  month =        jun,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "58G35 (35-04 35A30 35Q20 58-04)",
  MRnumber =     "90d:58166",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4170 (Differential equations)",
  corpsource =   "Dept. of Appl. Res., Inst. of Math., Acad. of Sci.,
                 Ukrainian SSR, Kiev, USSR",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra; AMP; computer algebra; differential
                 equations; FORMAC; LB symmetries; Lie; Lie-Backlund;
                 ODE REDUCE FORMAC AMP; REDUCE; REDUCE, FORMAC;
                 symmetries",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Ganzha:1989:ARC,
  author =       "Victor G. Ganzha and Richard Liska",
  editor =       "E. Kaltofen and S. M. Watt",
  booktitle =    "Proc. Computers and Mathematics '89",
  title =        "Application of the {REDUCE} Computer Algebra System to
                 Stability Analysis of Difference Schemes",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "119--129",
  year =         "1989",
  MRclass =      "65-04 (65H05 65P05)",
  MRnumber =     "1005967 (90e:65001)",
  bibdate =      "Sat Sep 13 17:42:56 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  keywords =     "Reduce computer-algebra system",
}

@TechReport{Gawthrop:1989:BGA,
  author =       "Peter Gawthrop",
  title =        "Bond Graph Analysis Using {Prolog} And {Reduce}",
  type =         "Control Group Report",
  number =       "(89/7)",
  institution =  "Engineering Design Research Centre",
  address =      "????",
  month =        sep,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Techreports/engineering-design-research-centre.bib",
}

@Article{Harper:1989:VAR,
  author =       "David Harper",
  title =        "{Vector33: A REDUCE} Program for Vector Algebra and
                 Calculus in Orthogonal Curvilinear Coordinates",
  journal =      j-COMP-PHYS-COMM,
  volume =       "54",
  number =       "2 and 3",
  pages =        "295--305",
  month =        jun # "\slash " # jul,
  year =         "1989",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Harper:1989:VRP,
  author =       "D. Harper",
  title =        "{VECTOR} 33: a {REDUCE} program for vector algebra and
                 calculus in orthogonal curvilinear coordinates",
  journal =      j-COMP-PHYS-COMM,
  volume =       "54",
  number =       "2-3",
  pages =        "295--305",
  month =        jun # "-" # jul,
  year =         "1989",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics)",
  corpsource =   "Comput. Lab., Liverpool Univ., UK",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "algebra; calculus; curl; curvilinear coordinates;
                 divergence; gradient; Laplacian; LISP; mathematics
                 computing; operators; orthogonal; REDUCE 3.3; RLISP;
                 VECTOR 33; vector algebra; vector differential",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Hirota:1989:IRD,
  author =       "Ryogo Hirota and Masaaki Ito",
  title =        "Introduction to {REDUCE} --- Doing Symbolic
                 Computation on {PC}",
  publisher =    "Science sha",
  address =      "Tokyo, Japan",
  pages =        "????",
  month =        jun,
  year =         "1989",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "(In Japanese).",
}

@Article{Ilyin:1989:FAC,
  author =       "V. A. Ilyin and A. P. Kryukov and A. Ya. Rodioniov and
                 A. Yu. Taranov",
  title =        "Fast algorithm for calculation of {Dirac}'s
                 gamma-matrices traces",
  journal =      j-SIGSAM,
  volume =       "23",
  number =       "4",
  pages =        "15--24",
  month =        oct,
  year =         "1989",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:00 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra); C4240 (Programming and
                 algorithm theory)",
  corpsource =   "Inst. for Nucl. Phys., Moscow State Univ., USSR",
  fjournal =     "SIGSAM Bulletin",
  issue =        "90",
  keywords =     "algorithm theory; algorithms; calculations; dimension;
                 Feynman diagrams; gamma-matrices; Kennedy-Cvitanovich
                 algorithm; matrix algebra; performance; REDUCE;
                 space-time; traces",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computations on matrices",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ilyin:1989:HSD,
  author =       "V. A. Ilyin and A. P. Kryukov and A. Ya. Rodioniov and
                 A. Yu. Taranov",
  title =        "High speed {Dirac} algebra calculations in a space of
                 arbitrary dimension by means of a computer algebra
                 system",
  journal =      j-COMP-PHYS-COMM,
  volume =       "57",
  number =       "1-3",
  pages =        "505--506",
  month =        dec,
  year =         "1989",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Moscow State Univ",
  affiliationaddress = "Moscow, USSR",
  classification = "723; 932",
  conference =   "Proceedings of the International Conference on
                 Computing in High Energy Physics",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Algorithms; Computer Programming; Data Processing;
                 Dirac Algebra; Kennedy-Cvitanovic (KC) Algorithm;
                 Physics --- High Energy; Reduce Computer Algebra
                 System",
  meetingaddress = "Oxford, Engl",
  meetingdate =  "Apr 10--14 1989",
  meetingdate2 = "04/10--14/89",
  sponsor =      "Oxford Univ, Oxford, Engl; Rutherford Appleton Lab,
                 Engl",
}

@Article{Kaneko:1989:PFS,
  author =       "Toshiaki Kaneko and Setsuya Kawabata",
  title =        "A Preprocessor for {Fortran} Source Code Produced by
                 {REDUCE}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "55",
  number =       "2",
  publisher =    "North Holland Publishing Company",
  pages =        "141--147",
  month =        sep,
  year =         "1989",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Meiji-Gakuin Univ",
  affiliationaddress = "Yokohama, Jpn",
  classification = "722; 723; 921; 932",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Computational Physics; Computer Programming
                 languages--fortran; Computer Systems, Digital;
                 Mathematical Techniques--Integration; Multi-Dimensional
                 Numerical Integration; Parallel Processing;
                 Physics--High Energy; Software Package Reduce; Vector
                 Processing",
}

@InProceedings{Kazasov:1989:LTR,
  author =       "C. Kazasov",
  title =        "{Laplace} transformations in {REDUCE} 3",
  crossref =     "Davenport:1989:EEC",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "132--133",
  year =         "1989",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C1130 (Integral transforms)",
  corpsource =   "Lab. for Inf., Sofia Univ., Bulgaria",
  keywords =     "algebra; checking; expression correctness; Laplace;
                 Laplace transforms; Laplace-transform pairs;
                 mathematics computing; optimal; packages; REDUCE 3;
                 software; symbol manipulation; table reduction;
                 transformations",
  sponsororg =   "Robotron; Rank Xerox",
  treatment =    "A Application; P Practical",
}

@InProceedings{Liska:1989:EPF,
  author =       "R. Liska and L. Drska",
  title =        "Evaluation of plasma fluid equations collision
                 integrals using {REDUCE}",
  crossref =     "Davenport:1989:EEC",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "178--178",
  year =         "1989",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A5220 (Elementary processes in plasma); A0230
                 (Function theory, analysis); C7320 (Physics and
                 Chemistry)",
  corpsource =   "Fac. of Nucl. Sci. and Phys. Eng., Tech. Univ. of
                 Prague, Czechoslovakia",
  keywords =     "13-moment approximation; algebra; collision; collision
                 processes; computer algebra; Fokker--Planck equation;
                 integrals; physics computing; plasma; plasma fluid
                 equations; program speedup; REDUCE; symbol
                 manipulation; symbolic mode",
  sponsororg =   "Robotron; Rank Xerox",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@InProceedings{MacCallum:1989:ODE,
  author =       "M. A. H. MacCallum",
  title =        "An ordinary differential equation solver for
                 {REDUCE}",
  crossref =     "Gianni:1989:SAC",
  pages =        "196--205",
  year =         "1989",
  bibdate =      "Thu Sep 26 06:21:35 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib",
  abstract =     "Progress and plans for the implementation of an
                 ordinary differential equation solver in REDUCE 3.3 are
                 reported; the aim is to incorporate the best available
                 methods for obtaining closed-form solutions, and to aim
                 at the `best possible' alternative when this fails. It
                 is hoped that this will become a part of the standard
                 REDUCE program library. Elementary capabilities have
                 already been implemented, i.e. methods for first order
                 differential equations of simple types and linear
                 equations of any order with constant coefficients. The
                 further methods to be used include: for first-order
                 equations, an adaptation of Shtokhamer's MACSYMA
                 program; for higher-order linear equations,
                 factorisation of the operator where possible; and for
                 nonlinear equations, the exploitation of Lie
                 symmetries.",
  acknowledgement = ack-nhfb,
  affiliation =  "Sch. of Math. Sci., Queen Mary Coll., London, UK",
  classification = "C1120 (Analysis); C4170 (Differential equations);
                 C7310 (Mathematics)",
  keywords =     "Closed-form solutions; Factorisation; First-order
                 equations; Lie symmetries; MACSYMA program; Nonlinear
                 equations; Ordinary differential equation solver;
                 REDUCE 3.3; REDUCE program library",
  thesaurus =    "Differential equations; Mathematics computing;
                 Software packages; Subroutines",
}

@InProceedings{Marti:1989:GIR,
  author =       "J. Marti",
  title =        "A graphics interface to {REDUCE}",
  crossref =     "Mora:1989:AAA",
  pages =        "274--296",
  year =         "1989",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6130B (Graphics techniques); C5540 (Terminals and
                 graphic displays); C6180 (User interfaces)",
  conflocation = "Rome, Italy; 4--8 July 1988",
  keywords =     "computer algebra; computer graphics; contour;
                 demonstration programs; display formats; equations;
                 graphics interface; hidden; laser printers; plots;
                 portable graphics subsystem; REDUCE; surface rendering
                 color displays; surfaces; symbol manipulation;
                 symbolic; three dimensional solids; two dimensional
                 graphs; user interfaces; wire frame images",
  treatment =    "P Practical",
}

@Article{Mathews:1989:USM,
  author =       "J. Mathews",
  title =        "Using a symbol manipulation program in statics to
                 compute centroids and moments",
  journal =      j-COED,
  volume =       "9",
  number =       "1",
  pages =        "52--55",
  month =        jan # "-" # mar,
  year =         "1989",
  CODEN =        "CWLJDP",
  ISSN =         "0736-8607",
  bibdate =      "Mon Sep 30 05:52:00 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Math., California State Univ., Fullerton, CA,
                 USA",
  classification = "C7310 (Mathematics); C7440 (Civil and mechanical
                 engineering); C7810C (Computer-aided instruction)",
  fjournal =     "CoED",
  keywords =     "16 Bit; 16-Bit computers; Algebra systems; Centroids;
                 Educational computing; Interactive software; Mechanical
                 engineering computing; Moments; MS-DOS; MuMATH;
                 Statics; Symbol manipulation program",
  numericalindex = "Word length 1.6E+01 bit",
  thesaurus =    "Educational computing; Mathematics computing;
                 Mechanical engineering computing; Statics; Symbol
                 manipulation",
}

@Book{Nakamura:1989:SCS,
  author =       "Hideharu Nakamura and Shouichi Matsui",
  title =        "Symbolic Computation in Structural Mechanics using
                 {REDUCE}",
  publisher =    "Gihodo Shuppan Company Ltd.",
  address =      "1-11-41, Akasaka, Minato-Ku, 107 Tokyo, Japan",
  pages =        "????",
  year =         "1989",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Ng:1989:CCB,
  author =       "Tze Beng Ng",
  title =        "Computation of the cohomology of {BSO}$_n$ (16) for $
                 23 \leq n \leq 26 $ using {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "1",
  pages =        "93--99",
  month =        jan,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C6130 (Data handling techniques);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Nat. Univ. of Singapore, Kent Ridge,
                 Singapore",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "base space; fibration; {Gr{\"o}bner} basis method;
                 Leray-; mod 2 cohomology ring; polynomial algebra;
                 polynomial structure; polynomials; REDUCE; Serre
                 spectral sequence; symbol manipulation",
  treatment =    "P Practical",
}

@Article{Ng:1989:CCN,
  author =       "Tze Beng Ng",
  title =        "Computation of the Cohomology of $ {B \hat {S}O_n < 16
                 > } $ for $ 23 \leq n \leq 26 $ using {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "1",
  pages =        "93--99",
  month =        jan,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
}

@Article{Ng:1989:CCU,
  author =       "Tze Beng Ng",
  title =        "Computation of the cohomology of {$ {B} \hat {\rm
                 S}{\rm O}_n \langle 16 \rangle $} for $ 23 \leq n \leq
                 26 $ using {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "1",
  pages =        "93--100 (or 93--99??)",
  month =        jan,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "55-04 (68-04 68Q40)",
  MRnumber =     "984 274",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C6130 (Data handling techniques);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math., Nat. Univ. of Singapore, Kent Ridge,
                 Singapore",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "polynomials; symbol manipulation; REDUCE; polynomial
                 structure; Gr{\"o}bner basis method; Leray-Serre
                 spectral sequence; fibration; mod 2 cohomology ring;
                 base space; polynomial algebra",
  treatment =    "P Practical",
  xxtitle =      "Computation of the cohomology of {$BSO_n(16)$} for $23
                 \leq n \leq 26$ using {REDUCE}",
}

@Article{Ronveaux:1989:DES,
  author =       "A. Ronveaux and G. Thiry",
  title =        "Differential Equations of Some Orthogonal Families in
                 {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "8",
  number =       "5",
  pages =        "537--541",
  month =        nov,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "34-04 (33-04)",
  MRnumber =     "90k:34001",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4170 (Differential equations); C4240 (Programming and
                 algorithm theory)",
  corpsource =   "Phys. Math., Fac. Univ. N. D. de la Paix, Namur,
                 Belgium",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algorithm theory; differential equations; equation;
                 orthogonal families; polynomials; REDUCE; REDUCE
                 Differential Equations; second-order differential",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Sage:1989:EAT,
  author =       "Martin L. Sage",
  title =        "Erratum: {``An algebraic treatment of quantum
                 vibrations using REDUCE'' [J. Symbolic Comput. {\bf 5}
                 (1988), no. 3, 377--384]}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "1",
  pages =        "101--101",
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "81-04",
  MRnumber =     "984 275",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "See \cite{Sage:1988:ATQ}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
}

@Article{Saito:1989:DCA,
  author =       "O. Saito and Y. Miura and T. Umeno and T. Ueyama and
                 K. Abe",
  title =        "Development of computer aided design and analysis
                 system for robot manipulators using algebraic
                 manipulation language {Reduce}",
  journal =      "IFAC Proceedings Series",
  volume =       "7",
  pages =        "231--236",
  year =         "1989",
  CODEN =        "IPSEET",
  ISSN =         "0741-1146",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Toyohashi Univ of Technology",
  affiliationaddress = "Aichi, Jpn",
  classification = "691; 723; 731; 931",
  conference =   "Computer Aided Design in Control Systems 1988 ---
                 Selected Papers from the 4th IFAC Symposium",
  conferenceyear = "1989",
  journalabr =   "IFAC Proc Ser",
  keywords =     "Algebraic Manipulation Language; Arms; C-Language;
                 Computer Aided Design; Computer Programming Languages;
                 Kinematics; Materials Handling--Manipulators; Robots,
                 Industrial; Symbolic Manipulation",
  meetingaddress = "Beijing, China",
  meetingdate =  "Aug 23--25 1988",
  meetingdate2 = "08/23--25/88",
  sponsor =      "IFAC, Applications Committee (APCOM); IFAC, Systems
                 Engineering Committee (SECOM); IFAC, Education
                 Committee (EDCOM); IFAC, Computers Committee (COMPUT);
                 IFAC, Theory Committee (THEORY); et al",
}

@InProceedings{Spiridonova:1989:SEA,
  author =       "M. Spiridonova",
  title =        "Some extensions and applications of {REDUCE} system",
  crossref =     "Davenport:1989:EEC",
  pages =        "136--137",
  year =         "1989",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics)",
  corpsource =   "Inst. of Math., Bulgarian Acad. of Sci., Sofia,
                 Bulgaria",
  keywords =     "algebra; differential geometry; Laplace
                 transformation; Laplace transforms; mathematical
                 geodesy; mathematics computing; packages; power series;
                 REDUCE system; series (mathematics); software;
                 spherical triangles; symbol manipulation; symbolic;
                 transformation bases",
  sponsororg =   "Robotron; Rank Xerox",
  treatment =    "A Application",
}

@Book{Stauffer:1989:CSC,
  author =       "Dietrich Stauffer and F. W. Hehl and V. Winkelmann and
                 J. G. Zabolitzky",
  title =        "Computer simulation and computer algebra: lectures for
                 beginners",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Second",
  pages =        "ix + 155",
  year =         "1989",
  ISBN =         "0-387-51141-5",
  ISBN-13 =      "978-0-387-51141-2",
  LCCN =         "QA76.9.C65 C656 1989",
  bibdate =      "Fri Nov 01 07:19:07 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Suppes:1989:ICT,
  author =       "Patrick Suppes and Shuzo Takahashi",
  title =        "An Interactive Calculus Theorem-Prover for Continuity
                 Properties",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "7",
  number =       "6",
  pages =        "573--590",
  month =        jun,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68T15 (03B35 04-04 26A15)",
  MRnumber =     "91a:68242",
  MRreviewer =   "R. C. T. Lee",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1230 (Artificial intelligence); C1160 (Combinatorial
                 mathematics); C4210 (Formal logic)",
  corpsource =   "Inst. for Math. Studies in the Social Sci., Stanford
                 Univ., CA, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Analysis; calculus; continuity properties; interactive
                 theorem-; prover; resolution theorem-prover; set; set
                 theory; symbol manipulation; symbolic computation;
                 theorem proving; theorem-prover; theory; VERIFY",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Surguladze:1989:LPM,
  author =       "L. R. Surguladze and F. V. Tkachov",
  title =        "{LOOPS}: Procedures for Multiloop Calculations in
                 Quantum Field Theory for the {REDUCE} System",
  journal =      j-COMP-PHYS-COMM,
  volume =       "55",
  number =       "2",
  publisher =    "North Holland Publishing Company",
  pages =        "205--215",
  month =        sep,
  year =         "1989",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Oct 24 12:47:46 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Acad of Sciences of the USSR",
  affiliationaddress = "Moscow, USSR",
  classification = "723; 931",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; Computational Physics; Computer
                 Software; Computers, Digital--Computational Methods;
                 Quantum Field Theory; Quantum Theory--Computer
                 Applications; Software Package Reduce",
}

@TechReport{Thas:1989:CRMa,
  author =       "C. Thas",
  title =        "A collection of {REDUCE} and {MACSYMA} programs about
                 college geometry. Part 1",
  number =       "5",
  institution =  "State University of Gent",
  address =      "Gent, Belgium",
  month =        sep,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}

@TechReport{Thas:1989:CRMb,
  author =       "C. Thas",
  title =        "A collection of {REDUCE} and {MACSYMA} programs about
                 college geometry. Part 2",
  number =       "5",
  institution =  "State University of Gent",
  address =      "Gent, Belgium",
  month =        sep,
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}

@Article{Umeno:1989:SCA,
  author =       "Takaji Umeno and Syuichi Yamashita and Osami Saito and
                 Kenichi Abe",
  title =        "Symbolic Computation Application for the Design of
                 Linear Multivariable Control Systems",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "8",
  number =       "6",
  pages =        "581--588",
  month =        dec,
  year =         "1989",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "93B40 (68Q40)",
  MRnumber =     "1 045 542",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C1340B (Multivariable systems); C7310 (Mathematics);
                 C1340D (Discrete systems); C7420 (Control
                 engineering)",
  corpsource =   "Toyohashi Univ. of Technol., Aichi, Japan",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebraic design; bilateral equations; control system;
                 control system synthesis; design; discrete time
                 systems; discrete-time; linear; linear multivariable
                 control; manipulation; matrix equations; multivariable
                 control systems; package; polynomial; polynomials;
                 rational function matrices; REDUCE; software; symbol;
                 symbolic computation; systems; unilateral equations",
  treatment =    "A Application; P Practical",
}

@InProceedings{vanHulzen:1989:COP,
  author =       "J. A. {van Hulzen} and B. J. A. Hulshof and B. L.
                 Gates and M. C. {van Heerwaarden}",
  title =        "A code optimization package for {REDUCE}",
  crossref =     "Gonnet:1989:PAI",
  pages =        "163--170",
  year =         "1989",
  bibdate =      "Mon Oct 26 07:36:00 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/auto.diff.bib",
  abstract =     "A survey of the strategy behind and the facilities of
                 a code optimization package for REDUCE are given. The
                 authors avoid a detailed discussion of the different
                 algorithms and concentrate on the user aspects of the
                 package. Examples of straightforward and more advanced
                 usage are shown.",
  acknowledgement = ack-nhfb,
  affiliation =  "Twente Univ., Dept. of Comput. Sci., Enschede,
                 Netherlands",
  classification = "C6130 (Data handling techniques); C6150C (Compilers,
                 interpreters and other processors); C7310
                 (Mathematics)",
  comment =      "Char --- van Hulzen's work is available within the
                 GENTRAN package in REDUCE. GENTRAN is available over
                 the Internet from the Reduce Network Library,
                 reduce-net@rand.org.",
  keywords =     "Code optimization package; Compilers; REDUCE; User
                 aspects",
  referred =     "[Char91a]; [Gold91a].",
  thesaurus =    "Mathematics computing; Optimisation; Program
                 compilers; Symbol manipulation",
}

@InCollection{Winkelmann:1989:RBS,
  author =       "Volker Winkelmann and Friedrich W. Hehl",
  editor =       "D. Stauffer and F. W. Hehl and V. Winkelmann and J. G.
                 Zabolitzky",
  booktitle =    "Computer Simulation and Computer Algebra. Lectures for
                 Beginners",
  title =        "{REDUCE} for Beginners. Six Lectures on the
                 Application of Computer Algebra",
  chapter =      "3",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "2nd",
  year =         "1989",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.1.bib; Theory/reduce.bib",
}

@InProceedings{Yamamoto:1989:RIP,
  author =       "T. Yamamoto and Y. Aoki",
  title =        "{REDUCE} 3.2 {iAPX86\slash 286-based} personal
                 computers",
  crossref =     "Davenport:1989:EEC",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "134--135",
  year =         "1989",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C5470 (Performance evaluation and
                 testing)",
  corpsource =   "Dept. of Inf. Eng., Hokkaido Univ., Sapporo, Japan",
  keywords =     "16 bit; 16-bit; addressing architecture; algebra;
                 AMI-Lisp; architectural design; computer architecture;
                 evaluation; iAPX86/286-based personal computers; IBM
                 compatible machines; IBM-PC; LISP; Lisp kernel;
                 manipulation; mathematics computing; microcomputer
                 applications; performance; performance evaluation;
                 porting procedure; REDUCE 3.2; software packages;
                 standard algebraic system; symbol",
  sponsororg =   "Robotron; Rank Xerox",
  treatment =    "P Practical",
}

@InProceedings{Adamchik:1990:ACI,
  author =       "V. S. Adamchik and O. I. Marichev",
  title =        "The algorithm for calculating integrals of
                 hypergeometric type functions and its realization in
                 {REDUCE} system",
  crossref =     "Watanabe:1990:IPI",
  pages =        "212--224",
  year =         "1990",
  bibdate =      "Mon May 11 18:13:57 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Byelorussian Univ.",
  affiliationaddress = "Minsk, Byelorussian SSR, USSR",
  classification = "721; 723; 921; B0290M (Numerical integration and
                 differentiation); C4160 (Numerical integration and
                 differentiation)",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  keywords =     "Algebraic Manipulation System Reduce; Analytical
                 integration; Automata Theory; Computability and
                 Decidability; Computer Programming --- Algorithms;
                 Convergence; Hypergeometric type functions; INTEGRATOR
                 system; Mathematical Techniques --- Integration;
                 Pascal; REDUCE system; Residue number theory",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
  thesaurus =    "Convergence of numerical methods; Integration",
}

@Article{Anon:1990:SMD,
  author =       "Anon",
  title =        "Study on a method for direct optical measurement of
                 the nonlinear fracture parameter {$ T \cdot $}
                 integral. (1st report, numerical simulation aided by
                 computerized symbolic manipulation for the formation
                 process of caustic pattern)",
  journal =      "Nippon Kikai Gakkai Ronbunshu, A Hen/Transactions of
                 the Japan Society of Mechanical Engineers, Part A",
  volume =       "56",
  number =       "522",
  pages =        "310--316",
  month =        feb,
  year =         "1990",
  CODEN =        "NKGADA",
  ISSN =         "0387-5008",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classification = "408; 723; 741; 921; 931",
  journalabr =   "Nippon Kikai Gakkai Ronbunshu A Hen",
  keywords =     "Caustic Method; Computer Software; Computerized
                 Symbolic Manipulation; Experimental Stress Analysis;
                 Fracture Mechanics; Mathematical Techniques--Numerical
                 Analysis; Nonlinear Fracture Parameter;
                 Optics--Applications; Path-Independent t\$dot Integral;
                 Software Package Reduce; Stresses--Analysis",
  language =     "Japanese",
  xxnote =       "Check title??",
}

@Article{Barbier:1990:AGS,
  author =       "Christine Barbier and Philip J. Clark and Peter
                 Bettess and Jacqueline A. Bettess",
  title =        "Automatic generation of shape functions for finite
                 element analysis using {REDUCE}",
  journal =      j-ENG-COMP,
  volume =       "7",
  number =       "4",
  pages =        "349--359 (or 349--358??)",
  month =        dec,
  year =         "1990",
  CODEN =        "ENCOEN",
  ISSN =         "0264-4401",
  ISSN-L =       "0264-4401",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Newcastle-upon-Tyne",
  affiliationaddress = "Newcastle-upon-Tyne, Engl",
  classification = "723; 921",
  fjournal =     "Engineering Computations",
  journalabr =   "Eng Comput (Swansea Wales)",
  keywords =     "Algebraic Programming Languages; Computer Programming
                 Languages--Performance; Database Systems--Synthesis;
                 Finite Element Analysis; Finite Element Method;
                 Function Generators--Automation; Mathematical
                 Techniques; Shape Function Generation; Shape Function
                 Libraries; Symbolic Manipulation Languages",
}

@InProceedings{Bradford:1990:PBA,
  author =       "Russell Bradford",
  booktitle =    "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation (Aug 20--24 1990:
                 Tokyo, Jpn)",
  title =        "Parallelization of the {Buchberger} algorithm",
  publisher =    "ACM",
  address =      "New York, NY, USA",
  pages =        "296--??",
  year =         "1990",
  ISBN =         "0-201-54892-5",
  ISBN-13 =      "978-0-201-54892-1",
  LCCN =         "????",
  bibdate =      "Sun Oct 25 11:42:03 1998",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Bath",
  affiliationaddress = "Bath, Engl",
  classification = "722; 723; 921",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  keywords =     "Algebraic Manipulation System Reduce; Algorithms;
                 Buchberger's Algorithm; Computer Programming; Computer
                 Systems, Digital --- Parallel Processing; Groebner
                 Basis; Mathematical Techniques --- Algebra",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
}

@Article{Caprasse:1990:RGF,
  author =       "H. Caprasse",
  title =        "Renormalization Group, Function Iterations and
                 Computer Algebra",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "9",
  number =       "1",
  pages =        "61--72",
  month =        jan,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "81E15",
  MRnumber =     "1 044 915",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A1110G (Renormalization); A0260 (Numerical
                 approximation and analysis); C4170 (Differential
                 equations); C4240 (Programming and algorithm theory);
                 C1160 (Combinatorial mathematics)",
  comment =      "Based on a renormalization group equation met in
                 Quantum Field Theory, Continuous Iterations of a large
                 class of functions are computed using {REDUCE}.",
  corpsource =   "Inst. de Phys. au Sart Tilman, Liege Univ., Belgium",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Abelian group; algorithm theory; boundary condition;
                 computer algebra; differential equations; function
                 iterations; iterative methods; perturbation techniques;
                 perturbative; quantum field; quantum field theory;
                 quantum field theory, differential equations; REDUCE;
                 renormalisation; renormalisation group equation;
                 solutions; theory",
  treatment =    "T Theoretical or Mathematical",
  xxtitle =      "Renormalisation Group, Function Iteration and Computer
                 Algebra",
}

@Article{Darbaidze:1990:SCR,
  author =       "Ya. Z. Darbaidze and Z. V. Merebashvili and V. A.
                 Rostovtsev",
  title =        "Some computer realizations of the {REDUCE-3}
                 calculations for exclusive processes",
  journal =      j-FORTSCHR-PHYS,
  volume =       "38",
  number =       "9",
  pages =        "717--731",
  month =        "????",
  year =         "1990",
  CODEN =        "FPYKA6",
  ISSN =         "0015-8208",
  ISSN-L =       "0015-8208",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A1300 (Specific reactions and phenomenology); A1110
                 (Field theory); A0210 (Algebra, set theory, and graph
                 theory); C7320 (Physics and Chemistry)",
  corpsource =   "High Energy Phys. Inst., Tbilisi State Univ., Georgian
                 SSR, USSR",
  fjournal =     "{Fortschritte der Physik = Progress of Physics}",
  keywords =     "algorithm; alpha /sup 3/ order; COLOR-Factor;
                 elementary particle scattering; exclusive processes;
                 Factorizator; infrared radiation corrections; matrix
                 algebra; noncommutative algebras; perturbation;
                 perturbation theory; physics computing; quantum field
                 theory; REDUCE-3; squared gauge invariant set;
                 supersymmetric commutative relation; theory; tree
                 diagrams",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Eisenberger:1990:ASA,
  author =       "Moshe Eisenberger",
  title =        "Application of Symbolic Algebra to the Analysis of
                 Plates on Variable Elastic Foundation",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "9",
  number =       "2",
  pages =        "207--214 (or 207--213??)",
  month =        feb,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A4630C (Elasticity); A0260 (Numerical approximation
                 and analysis); A0210 (Algebra, set theory, and graph
                 theory); C7440 (Civil and mechanical engineering);
                 C4140 (Linear algebra); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Dept. of Civil Eng., Carnegie Mellon Univ.,
                 Pittsburgh, PA, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "approximate finite element; approximate solutions;
                 approximation theory; civil engineering; civil
                 engineering computing; convergence; convergence of
                 numerical methods; displacement method; elasticity;
                 foundation; foundation stiffness; matrix algebra; plate
                 analysis; plate element stiffness matrix; symbolic
                 algebra; variable elastic; variable Winkler elastic
                 foundation",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Elishakoff:1990:CSA,
  author =       "Isaac Elishakoff and Baruch Pletner",
  booktitle =    "Symbolic Computations and Their Impact on Mechanics
                 (Nov 25--30 1990: Dallas, TX, USA)",
  title =        "Computerized symbolic algebraic evaluation of buckling
                 loads by {Snitko}'s method",
  journal =      "American Society of Mechanical Engineers, Pressure
                 Vessels and Piping Division (Publication) PVP",
  volume =       "205",
  pages =        "175--187",
  year =         "1990",
  CODEN =        "AMPPD5",
  ISSN =         "0277-027X",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Florida Atlantic Univ",
  affiliationaddress = "Boca Raton, FL, USA",
  classification = "408; 921",
  conference =   "Winter Annual Meeting of the American Society of
                 Mechanical Engineers",
  conferenceyear = "1990",
  journalabr =   "ASME Pressure Vessels Piping Div Publ PVP",
  keywords =     "Analysis; Columns; Computer Algebra; Computer Program
                 Reduce; Mathematical Techniques --- Algebra; Structural
                 Mechanics; Symbolic Algebraic Evaluation",
  meetingaddress = "Dallas, TX, USA",
  meetingdate =  "Nov 25--30 1990",
  meetingdate2 = "11/25--30/90",
  sponsor =      "ASME, Pressure Vessels and Piping Div; ASME, Applied
                 Mechanics Div; ASME, Computers in Engineering Div",
}

@InProceedings{Fitch:1990:DSR,
  author =       "John Fitch",
  booktitle =    "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation (Aug 20--24 1990:
                 Tokyo, Jpn)",
  title =        "A delivery system for {REDUCE}",
  crossref =     "Watanabe:1990:IPI",
  pages =        "76--81",
  year =         "1990",
  ISBN =         "0-201-54892-5",
  ISBN-13 =      "978-0-201-54892-1",
  LCCN =         "????",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "A non-LISP delivery system for REDUCE is described and
                 compared with other implementations of REDUCE for speed
                 and size, as well as ease of porting. The mechanism for
                 this delivery system is direct compilation of the
                 REDUCE sources into ANSI C, which is then compiled and
                 linked together with some support code for arithmetic
                 and space administration. The resulting system is
                 compared with a number of other implementations of true
                 REDUCE, and is shown to be similar in size, but faster.
                 The time to port the system is measured in hours. Also
                 considered are the difficulties in this method of
                 delivering LISP code, and an assessment of the loss of
                 flexibility.",
  acknowledgement = ack-nhfb,
  affiliation =  "Sch. of Math. Sci., Bath Univ., UK",
  classcodes =   "C7310 (Mathematics)",
  classification = "723; 921; C7310 (Mathematics)",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  corpsource =   "Sch. of Math. Sci., Bath Univ., UK",
  keywords =     "algebra; Algebraic Manipulation System Reduce;
                 Computer Metatheory; Computer Programming Languages ---
                 C; Delivery system; delivery system; LISP code;
                 Mathematical Techniques --- Algebra; Programming
                 Theory; REDUCE; symbol manipulation",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
  sponsororg =   "Inf. Processing Soc. Japan; Japan Soc. Software Sci.
                 Technol.; ACM",
  thesaurus =    "Algebra; Symbol manipulation",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Ganzha:1990:ARS,
  author =       "V. G. Ganzha and S. V. Meleshko and V. P. Shelest",
  booktitle =    "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation (Aug 20--24 1990:
                 Tokyo, Jpn)",
  title =        "Application of {REDUCE} system for analyzing
                 consistency of systems of {PDE's}",
  crossref =     "Watanabe:1990:IPI",
  pages =        "301--??",
  year =         "1990",
  ISBN =         "0-201-54892-5",
  ISBN-13 =      "978-0-201-54892-1",
  LCCN =         "????",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "A consistency analysis of differential equation
                 systems involves a sequence of differential ---
                 algebraic operations. At present there are known two
                 methods: the Cartan's and the Riquier-Janet-Kuranishi
                 (RJK) method which are equivalent. The implementation
                 of the both of the methods with the purpose of their
                 practical application leads to large symbolic
                 computations which often cannot be performed without a
                 computer. The problem on the consistency investigation
                 of a specific overdetermined system was solved in [1]
                 with the aid of a computer. More recently, a number of
                 computer codes implementing the both of the above
                 methods on a computer have been developed (for example
                 [2]). In the present paper we propose a realization of
                 the RJK algorithm the REDUCE system.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst of Theoretical and Applied Mechanics",
  affiliationaddress = "Novosibirsk, USSR",
  classification = "721; 921; C4170 (Differential equations); C4240
                 (Programming and algorithm theory); C7310
                 (Mathematics)",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  keywords =     "Algebraic Manipulation System Reduce; Automata Theory;
                 Computability and Decidability; Consistency;
                 Consistency analysis; Differential equation systems;
                 Mathematical Techniques --- Algebra; Partial
                 differential equations; Riquier-Janet-Kuranishi method;
                 RJK method; Zeros of Polynomials",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
  thesaurus =    "Computational complexity; Partial differential
                 equations; Symbol manipulation",
}

@InProceedings{Ganzha:1990:LAS,
  author =       "Victor G. Ganzha and Michail Yu. Shashkov",
  booktitle =    "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation (Aug 20--24 1990:
                 Tokyo, Jpn)",
  title =        "Local approximation study of difference operations by
                 means of {REDUCE} system",
  crossref =     "Watanabe:1990:IPI",
  pages =        "185--192",
  year =         "1990",
  ISBN =         "0-201-54892-5",
  ISBN-13 =      "978-0-201-54892-1",
  LCCN =         "????",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "This work is devoted to the description of new
                 algorithms and programs in the REDUCE system for the
                 automated study of a local order of the approximation
                 of difference operator written on non-orthogonal
                 meshes. The performance of the program is demonstrated
                 by local approximation of several difference operators
                 in one two-dimensional cases.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst of Theoretical and Applied Mechanics",
  affiliationaddress = "Novosibirsk, USSR",
  classification = "723; 921; B0290F (Interpolation and function
                 approximation); C4130 (Interpolation and function
                 approximation); C4170 (Differential equations)",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  keywords =     "Algebraic Manipulation System Reduce; Algorithms;
                 Approximation; Computer Programming; Difference
                 operators; Difference Operators; Local order;
                 Mathematical Techniques --- Operators; Nonorthogonal
                 meshes; Numerical methods; REDUCE system",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
  thesaurus =    "Difference equations; Function approximation",
  xxtitle =      "Local approximation study of difference operators by
                 means of {REDUCE} system",
}

@Article{Gerdt:1990:CCI,
  author =       "V. P. Gerdt and A. Yu. Zharkov",
  title =        "Computer Classification of Integrable Coupled
                 {KdV}-like Systems",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "10",
  number =       "2",
  pages =        "203--208 (or 203--207??)",
  month =        aug,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "35-04 (35Q53)",
  MRnumber =     "91h:35003",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib; Theory/reduce.bib",
  abstract =     "The foundations of the symmetry approach to the
                 classification problem of integrable {non-linear}
                 evolution systems are briefly described. Within the
                 framework of the symmetry approach the {ten-parametric}
                 family of the third order {non-linear} evolution
                 coupled {KdV-like} systems is investigated. The
                 necessary integrability conditions lead to an
                 {over-determined non-linear} algebraic system. To solve
                 that system an effective method based on its structure
                 has been used. This allows us to obtain the complete
                 list of integrable systems of a given type. All
                 computation has been completed on the basis of computer
                 algebra systems {FORMAC} and {REDUCE}.",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics)",
  corpsource =   "Lab. of Comput. Tech. and Autom., Joint Inst. for
                 Nucl. Res., Moscow, USSR",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "approach; classification problem; evolution equations
                 PDE; FORMAC; integrable coupled KdV-like systems;
                 integrable nonlinear evolution systems; mathematics
                 computing; nonlinear algebraic; REDUCE; symbol
                 manipulation; symmetry; system; ten-parametric family",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Gerdt:1990:CGN,
  author =       "Vladimir P. Gerdt and Alexey Yu. Zharkov",
  booktitle =    "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation (Aug 20--24 1990:
                 Tokyo, Jpn)",
  title =        "Computer generation of necessary integrability
                 conditions for polynomial-nonlinear evolution systems",
  crossref =     "Watanabe:1990:IPI",
  pages =        "250--254",
  year =         "1990",
  ISBN =         "0-201-54892-5",
  ISBN-13 =      "978-0-201-54892-1",
  LCCN =         "????",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "We use the symmetry approach to establish an efficient
                 program in REDUCE for verifying necessary integrability
                 conditions for polynomial-nonlinear evolution equations
                 and systems in one-spatial and one-temporal dimensions.
                 These conditions follow from the existence of higher
                 infinitesimal symmetries and conservation law
                 densities. We briefly consider the mathematical
                 background of the symmetry approach to the problem of
                 integrability. In the description of our algorithms and
                 their implementation in REDUCE we present in particular
                 the basic algorithm for reversing the operator of the
                 total derivative with respect to the spatial variable.
                 One of the most interesting application of the present
                 program is the problem of classification when the
                 complete list of integrable equations from a given
                 multiparametric family is needed. In this case the
                 program generates necessary integrability conditions in
                 form of a system of nonlinear algebraic equations in
                 the parameters present in the initial equations. In
                 spite of their often complicated structure, there are
                 systems for which the solution can be found in exact
                 form by applying the technique of Groebner basis. We
                 present three examples of evolution equations for which
                 this system can in fact be solved.",
  acknowledgement = ack-nhfb,
  affiliation =  "Lab. of Comput. Tech. and Autom., Joint Inst for
                 Nuclear Research",
  affiliationaddress = "Moscow, USSR",
  classification = "721; 723; 921; C1120 (Analysis); C4170 (Differential
                 equations); C7310 (Mathematics)",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  keywords =     "Automata Theory; Computability and Decidability;
                 Mathematical Techniques --- Integration; Computer
                 Programming --- Algorithms; Groebner Basis; Algebraic
                 Manipulation System Reduce; Integrability;
                 Integrability; Polynomial nonlinear evolution systems;
                 REDUCE; Symmetry approach; Spatial variable; Nonlinear
                 algebraic equations; Gr{\"o}bner basis",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
  thesaurus =    "Differential equations; Symbol manipulation",
}

@TechReport{Grozin:1990:REPa,
  author =       "A. G. Grozin",
  title =        "{REDUCE} in elementary particle physics.
                 Introduction",
  number =       "INP 90-42",
  institution =  "Institute of Nuclear Physics",
  address =      "Novosibirsk, USSR",
  year =         "1990",
  bibdate =      "Sat Feb 24 09:48:58 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  comment =      "These 5 preprints together with the previous 3 will be
                 published as a book ``Solving physical problems with
                 REDUCE''",
}

@TechReport{Grozin:1990:REPb,
  author =       "A. G. Grozin",
  title =        "{REDUCE} in elementary particle physics. Quantum
                 electrodynamics",
  number =       "INP 90-71",
  institution =  "Institute of Nuclear Physics",
  address =      "Novosibirsk, USSR",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}

@TechReport{Grozin:1990:REPc,
  author =       "A. G. Grozin",
  title =        "{REDUCE} in elementary particle physics. Quantum
                 chromodynamics",
  number =       "INP 90-62",
  institution =  "Institute of Nuclear Physics",
  address =      "Novosibirsk, USSR",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}

@Article{Hughes:1990:SCF,
  author =       "D. I. Hughes",
  title =        "Symbolic Computation with {Fermions}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "10",
  number =       "6",
  pages =        "657--664",
  month =        dec,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40 (81-04)",
  MRnumber =     "91j:68063",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "A set of {REDUCE} routines for manipulating operators
                 which anticommute amongst themselves is described.
                 These routines have applications in theories such as
                 supergravity where anticommuting operators are used to
                 represent fermions. The Dirac bracket of the
                 supersymmetry constraints arising in a quantum
                 cosmological model based on N = 1 supergravity coupled
                 to a massless scalar multiplet is calculated as an
                 example.",
  acknowledgement = ack-nhfb,
  classcodes =   "A9880 (Cosmology); A9530S (Relativity and
                 gravitation); A0465 (Supergravity); A1130P
                 (Supersymmetry); A0270 (Computational techniques);
                 C7320 (Physics and Chemistry)",
  corpsource =   "Dept. of Appl. Math. and Theor. Phys., Cambridge
                 Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "anticommute; cosmology; Dirac bracket; fermions;
                 manipulating operators; massless scalar multiplet;
                 physics computing; quantum cosmological model; REDUCE
                 routines; supergravity; supersymmetry; symbol
                 manipulation",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Ioakimidis:1990:CEC,
  author =       "N. I. Ioakimidis",
  title =        "Construction of the Equation of Caustics in Dynamic
                 Plane Elasticity Problems with the Help of {REDUCE}",
  institution =  "Division of Applied Mathematics and Mechanics, School
                 of Engineering, University of Patras",
  address =      "Patras, Greece",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Ioakimidis:1990:CSI,
  author =       "N. I. Ioakimidis",
  title =        "Construction of Singular Integral Equations for
                 Interacting Straight Cracks by Using {REDUCE}",
  institution =  "Division of Applied Mathematics and Mechanics, School
                 of Engineering, University of Patras",
  address =      "Patras, Greece",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Liska:1990:FRP,
  author =       "R. Liska and L. Drska",
  title =        "{FIDE}: {A REDUCE} package for automation of {FInite}
                 difference method for solving {pDE}",
  crossref =     "Watanabe:1990:IPI",
  pages =        "169--176",
  year =         "1990",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "Discusses the automation of the process of numerical
                 solving of partial differential equations systems
                 (PDES) by means of computer algebra. For solving PDES
                 the finite difference method is applied. The computer
                 algebra system REDUCE and the numerical programming
                 language FORTRAN are used in the methodology presented,
                 its main aim being to speed up the process of preparing
                 numerical programs for solving PDES. Quite often,
                 especially for complicated systems, this process is a
                 tedious and time consuming task. In the process several
                 stages can be found in which computer algebra can be
                 used for performing routine analytical calculations,
                 namely: transformation of differential equations into
                 different coordinate systems, discretization of
                 differential equations, analysis of difference schemes,
                 and generation of numerical programs. The FIDE package
                 is applied to two physical problems. The first one is
                 the nonlinear Schrodinger equation. The second one is
                 the Fokker--Planck equation. The numerical programs
                 have been tested and compared with similar published
                 calculations.",
  acknowledgement = ack-nhfb,
  affiliation =  "Fac. of Nucl. Sci. and Phys. Eng., Tech. Univ. of
                 Prague, Czechoslovakia",
  affiliationaddress = "Prague, Czech",
  classcodes =   "C4170 (Differential equations); C7310 (Mathematics)",
  classification = "721; 723; 921; C4170 (Differential equations); C7310
                 (Mathematics)",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  corpsource =   "Fac. of Nucl. Sci. and Phys. Eng., Tech. Univ. of
                 Prague, Czechoslovakia",
  keywords =     "Automata Theory; Computability and Decidability;
                 Computer algebra; computer algebra; Computer Algebra
                 Systems; Computer Programming --- Algorithms;
                 Coordinate systems; coordinate systems; difference
                 equations; difference method; differential equations;
                 Discretization; discretization; Discretization
                 Techniques; equation; FIDE; FInite; FInite difference
                 method; Fokker--Planck equation; FORTRAN;
                 Integro-interpolation; integro-interpolation;
                 Mathematical Techniques --- Differential Equations;
                 nonlinear Schrodinger; Nonlinear Schrodinger equation;
                 Numerical solving; numerical solving; partial; Partial
                 differential equations; partial differential equations;
                 PDE; REDUCE package; software packages; symbol
                 manipulation",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
  sponsororg =   "Inf. Processing Soc. Japan; Japan Soc. Software Sci.
                 Technol.; ACM",
  thesaurus =    "Difference equations; Partial differential equations;
                 Software packages; Symbol manipulation",
  treatment =    "P Practical; R Product Review",
}

@Article{Lloyd:1990:RBL,
  author =       "N. G. Lloyd and J. M. Pearson",
  title =        "{REDUCE} and the Bifurcation of Limit Cycles",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "9",
  number =       "2",
  pages =        "215--224",
  month =        feb,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "58F21 (58F14)",
  MRnumber =     "1 056 844",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib; Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C4170 (Differential equations);
                 C1120 (Analysis)",
  corpsource =   "Dept. of Math., Univ. Coll. of Wales, Dyfed, UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra system; bifurcation; computer; dynamical
                 systems; limit cycles; mathematics computing; nonlinear
                 differential equations; nonlinear ordinary differential
                 equations; polynomial differential systems; REDUCE",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Norman:1990:CBI,
  author =       "A. C. Norman",
  title =        "A critical-pair\slash completion based integration
                 algorithm",
  crossref =     "Watanabe:1990:IPI",
  pages =        "201--205",
  year =         "1990",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "The presentation re-expresses the 1976 Risch method in
                 terms of rewrite rules, and thus exposes the major
                 problem it suffers from as a manifestation of the fact
                 that in certain circumstances the set of rewrites
                 generated is not confluent. This difficulty is then
                 attacked using a critical-pair/completion (CPC)
                 approach. For very many integrands it is then easy to
                 see that the initial set of rewrites used in the early
                 implementations do not need any extension, and this
                 fact explains the high level of competence of the
                 programs involved despite their shaky theoretical
                 foundations. For a further large collection of problems
                 even a simple CPC scheme converges rapidly; when the
                 techniques are applied to the REDUCE integration test
                 suite in all applicable cases a short computation
                 succeeds in completing the set of rewrites and hence
                 gives a secure basis for testing for integrability.
                 This paper describes the implementation of the CPC
                 process and discusses current limitations to and
                 possible future extended applications of it.",
  acknowledgement = ack-nhfb,
  affiliation =  "Trinity Coll., Cambridge, UK",
  classification = "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  keywords =     "Convergence; CPC scheme; Critical-pair/completion
                 based integration algorithm; Integrability; REDUCE
                 integration test suite; Rewrite rules; Transcendental
                 functions",
  thesaurus =    "Convergence of numerical methods; Integration;
                 Rewriting systems",
}

@TechReport{Nucci:1990:IRP,
  author =       "M. C. Nucci",
  title =        "Interactive {REDUCE} Programs for Calculating
                 Classical, Non-Classical and {Lie--B{\"a}cklund}
                 Symmetries of Differential Equations",
  type =         "Preprint",
  number =       "Math: 062090-051",
  institution =  "Georgia Institute of Technology, School of
                 Mathematics",
  address =      "Atlanta, GA, USA",
  year =         "1990",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Book{Ochiai:1990:LAU,
  author =       "Mitsuyuki Ochiai and Kiyokazu Nagatomo",
  title =        "Linear Algebra using {REDUCE}",
  publisher =    "Kindai Kagaku sha",
  address =      "Tokyo, Japan",
  pages =        "????",
  month =        jan,
  year =         "1990",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "In Japanese.",
}

@InProceedings{Padget:1990:UPS,
  author =       "Julian Padget and Alan Barnes",
  editor =       "S. Watanabe and Morio Nagata",
  booktitle =    "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation (Aug 20--24 1990:
                 Tokyo, Jpn)",
  title =        "Univariate Power Series Expansions in {REDUCE}",
  publisher =    pub-AW,
  address =      pub-AW:adr,
  pages =        "82--87",
  year =         "1990",
  ISBN =         "0-201-54892-5",
  ISBN-13 =      "978-0-201-54892-1",
  LCCN =         "????",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "We describe the development of a formal power series
                 expansion package for Reduce which takes advantage of
                 Reduce's domain mechanism to make for a seamless
                 integration of series values with the rest of the
                 Reduce system. Consequently, series values may be
                 manipulated with the same algebraic operators as other
                 algebraic objects. To create the illusion of infinite
                 power series a simulated lazy-evaluation mechanism has
                 been used. This paper reports our experience of using
                 the Reduce domain mechanism and documents the
                 algorithms and data structures that can be used to
                 implement and to represent power series.",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Bath",
  affiliationaddress = "Bath, Engl",
  classification = "723; 921",
  conference =   "ISSAC '90 Proceedings of International Symposium on
                 Symbolic and Algebraic Computation",
  conferenceyear = "1990",
  keywords =     "Algebraic Manipulation System Reduce; Applications;
                 Computer Software; Mathematical Techniques --- Algebra;
                 Power Series Expansion",
  meetingabr =   "ISSAC 90 Proc Int Symp Symb Algebraic Comput",
  meetingaddress = "Tokyo, Jpn",
  meetingdate =  "Aug 20--24 1990",
  meetingdate2 = "08/20--24/90",
  sponsor =      "Information Processing Soc of Japan; Japan Soc for
                 Software Science and Technology; ACM SIGSAM",
}

@Article{Rayna:1990:JPK,
  author =       "G. Rayna",
  title =        "{J. P. Keener} on {REDUCE} Software for Algebraic
                 Computation",
  journal =      j-BULL-MATH-BIOLOGY,
  volume =       "52",
  number =       "5",
  pages =        "697--??",
  year =         "1990",
  ISSN =         "0092-8240",
  bibdate =      "Mon Feb 12 15:34:00 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Savage:1990:SCF,
  author =       "Stuart B. Savage",
  title =        "Symbolic Computation of the Flow of Granular
                 Avalanches",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "9",
  number =       "4",
  pages =        "515--530",
  month =        apr,
  year =         "1990",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7340 (Geophysics); C6130 (Data handling techniques)",
  corpsource =   "Lab. of Hydraulics, Hydrology and Glaciology,
                 ETH-Zentrum, Zurich, Switzerland",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Application; C-code; cohesionless granular material;
                 dense flowing snow avalanches; differential equations;
                 dimensional flow; flow of granular avalanches; GENTRAN;
                 geophysics computing; ice avalanches; Pade
                 approximants; perturbation equations; profiles;
                 rockfalls; Shanks transformations; symbol manipulation;
                 symbolic manipulation package REDUCE 3.3; two-;
                 velocity",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Tao:1990:SAM,
  author =       "Qingsheng Tao",
  title =        "Symbolic and algebraic manipulation for formulae of
                 interpolation and quadrature",
  crossref =     "Watanabe:1990:IPI",
  pages =        "306",
  year =         "1990",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Computer algebra has been used for construction and
                 analysis of algorithms of numerical computation. In the
                 paper, an attempt has been made to derive the formulae
                 of interpolation and quadrature with Computer Algebra.
                 In REDUCE language, the formula manipulation system for
                 interpolation INTEP and for quadrature QUADRAT are
                 developed. The two formula manipulators can be used to
                 derive Lagrange, Hermite and Birkhoff interpolation
                 formulae with any degree of polynomials and to derive
                 Newton--Cotes quadrature formulae and the quadrature
                 formulae involving the derivatives of the integrand.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Mech., Zhejiang Univ., Hangzhou, China",
  classification = "C4130 (Interpolation and function approximation);
                 C4160 (Numerical integration and differentiation)",
  keywords =     "Algebraic manipulation; Birkhoff; Computer Algebra;
                 Formula manipulators; Hermite; INTEP; Interpolation;
                 Interpolation formulae; Lagrange; Newton--Cotes
                 quadrature formulae; QUADRAT; Quadrature; Symbolic
                 manipulation",
  thesaurus =    "Integration; Interpolation; Symbol manipulation",
}

@Article{Yamamoto:1990:ACC,
  author =       "Ichiro Yamamoto and Akira Kanagawa",
  title =        "Approximate column constants expressed in terms of
                 design parameters for hot-wire thermal diffusion
                 column",
  journal =      "Journal of Nuclear Science and Technology",
  volume =       "27",
  number =       "1",
  pages =        "49--55",
  month =        jan,
  year =         "1990",
  CODEN =        "JNSTAX",
  ISSN =         "0022-3131",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Thermal diffusion is a convenient way of separating
                 isotopes on a small scale. Although one-dimensional
                 analysis developed by Jones \& Furry is useful for
                 predicting separative performances of a hot-wire
                 thermal diffusion column for isotope separation, it is
                 not so simple and requires inevitably numerical
                 calculations with computers, because it involves the
                 column constants which cannot be evaluated
                 analytically. Approximate formulae for the column
                 constants were derived here by replacing the
                 logarithmic function for the radial temperature
                 distribution, which makes analytical integration
                 impossible. The results were verified by the symbolic
                 manipulating language REDUCE.",
  acknowledgement = ack-nhfb,
  affiliation =  "Nagoya Univ",
  affiliationaddress = "Nagoya, Jpn",
  classification = "622; 641; 802; 803; 804",
  journalabr =   "J Nucl Sci Technol",
  keywords =     "Computer Language Reduce; Isotopes; Separation;
                 Separators; Thermal Diffusion; Thermal Diffusion
                 Column",
}

@InProceedings{Amirkhanov:1991:BOV,
  author =       "I. V. Amirkhanov and E. P. Zhidkov and I. E.
                 Zhidkova",
  title =        "The betatron oscillations in the vicinity of nonlinear
                 resonance in cyclic accelerator investigation",
  crossref =     "Watt:1991:IPI",
  pages =        "452--453",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Motion of charged particle in given fields in a cyclic
                 accelerator has been investigated. The nonlinear
                 problem of finding stable trajectories in the vicinity
                 of a resonance has been solved. The equations of motion
                 for charged particle deviation from ideal orbit or the
                 betatron oscillations equations (which are lateral to
                 the closed orbit oscillations with the frequencies $
                 \nu_x, \nu_z $ ) are studied using REDUCE-3.2. The
                 study of the equations formed by computer is applied to
                 two types of accelerators: (1) the averaged equations
                 in the vicinity of 19 resonances for a weakly focusing
                 accelerator (WFA) and (2) those in the vicinity of 24
                 resonances-for a strong focusing accelerator (SFA).",
  acknowledgement = ack-nhfb,
  affiliation =  "JINR, Moscow, USSR",
  classification = "A2920F (Betatrons); B7410 (Accelerators); C7320
                 (Physics and Chemistry)",
  keywords =     "Betatron oscillations; Charged particle deviation;
                 Cyclic accelerator; Nonlinear resonance; REDUCE-3.2;
                 Strong focusing accelerator; Weakly focusing
                 accelerator",
  thesaurus =    "Betatrons; Physics computing",
}

@InProceedings{BelKov:1991:RUC,
  author =       "Alexander A. Bel'Kov and Alexander V. Lanyov",
  title =        "{REDUCE} usage for calculation of low-energy process
                 amplitudes in chiral {QCD} model",
  crossref =     "Watt:1991:IPI",
  pages =        "454--455",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "We describe the extension of {REDUCE} capabilities for
                 the calculations of strong and weak meson processes
                 within the chiral Lagrangians with higher derivatives.
                 The main non-trivial difficulty is to obtain the
                 process amplitude from the Lagrangian, describing these
                 interactions. Another one is to overcome some {REDUCE}
                 deficiencies such as the lack of arguments in the
                 matrix data type as well as of some physical operations
                 with the particle operators. This package of procedures
                 allows one to calculate the amplitudes of the strong
                 and weak processes by simple specifying the particles
                 involved and their momenta.",
  acknowledgement = ack-nhfb,
  affiliation =  "Particle Phys. Lab., JINR, Moscow, USSR",
  classification = "A0270 (Computational techniques); A1110 (Field
                 theory); A1130R (Chiral symmetries); A1235C (General
                 properties of quantum chromodynamics (dynamics,
                 confinement, etc.)); C7320 (Physics and Chemistry)",
  keywords =     "Chiral Lagrangians; Meson processes; REDUCE
                 capabilities",
  thesaurus =    "Chiral symmetries; Colour model; Meson field theory;
                 Physics computing; Symbol manipulation",
}

@Book{Brackx:1991:CAL,
  author =       "F. Brackx and D. Constales",
  title =        "Computer algebra with {LISP} and {REDUCE}: an
                 introduction to computer-aided pure mathematics",
  volume =       "72",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xii + 264",
  year =         "1991",
  DOI =          "http://dx.doi.org/10.1007/978-94-011-3502-3",
  ISBN =         "0-7923-1441-7",
  ISBN-13 =      "978-0-7923-1441-7",
  LCCN =         "QA155.7.E4 B72 1991",
  MRclass =      "68Q40",
  MRnumber =     "1474724",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib",
  note =         "An introduction to computer-aided pure mathematics",
  series =       "Mathematics and Its Applications",
  URL =          "http://www.zentralblatt-math.org/zmath/en/search/?an=0733.68047",
  acknowledgement = ack-nhfb,
  keywords =     "Reduce computer-algebra system",
  preface =      "This text is based upon a series of lectures on LISP
                 and REDUCE held at the Universities of Averio and
                 Coimbra (Portugal), as part of the European Community's
                 ERASMUS Project, and at the University of Gent
                 (Belgium). It has been adapted to the newest release of
                 REDUCE, version 3.4",
  tableofcontents = "1. Front Matter / i--xi \\
                 2. Introduction / F. Brackx, D. Constales / 1--16 \\
                 3. Standard LISP and RLISP / F. Brackx, D. Constales /
                 17--104 \\
                 4. REDUCE Algebraic Mode / F. Brackx, D. Constales /
                 105--200 \\
                 5. Applications / F. Brackx, D. Constales / 201--218
                 \\
                 6. A Package for Three--Dimensional Euclidean Geometry
                 / F. Brackx, D. Constales / 219--255 \\
                 7. Back Matter / / 257--264",
  xxpages =      "xi + 264",
}

@Article{Broughan:1991:SSC,
  author =       "K. A. Broughan and G. Keady and T. D. Robb and M. G.
                 Richardson and M. C. Dewar",
  title =        "Some Symbolic Computing Links to the {NAG} Numeric
                 Library",
  journal =      j-SIGSAM,
  volume =       "25",
  number =       "3",
  pages =        "28--37",
  month =        jul,
  year =         "1991",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:01 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "This article intended to help readers compare the
                 three products, SENAC, InterCall and IRENA. Each of the
                 three is in the Numerical Algorithms Group (Fortran
                 77). SENAC is a package developed by the Mathematical
                 Software Project at the University of Waikato. SENAC
                 includes a symbolic manipulation interpreter (Sencore),
                 together with high level interfaces to the NAG Fortran
                 Library (Numlink) and NAG Graphics Library (Graflink).
                 The system evolved from an interface, Naglink, between
                 the NAG Library and the symbolic manipulation language
                 Macsyma. The Sensore interpreter is written in Common
                 LISP and belongs to the Macsyma/Maple/Reduce family of
                 languages. It is easy to load user-written files
                 written in Common LISP or in SENAC. InterCall is a
                 Mathematica package that enables its user to
                 interactively call external code, for example from an
                 external numeric library. It allows various default
                 settings to be defined for any arguments that need to
                 be passed to any routine in that code, and initial
                 default settings for all the routines in the IMSL and
                 NAG libraries are included with InterCall in the form
                 of a small defaults-database file. IRENA-an Interface
                 from Reduce to NAG-runs under the Reduce computer
                 algebra system and provides an interactive front end to
                 the NAG Library. It has been designed to make the use
                 of the NAG Library considerably simpler, in a number of
                 ways.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Math. and Stat., Waikato Univ., Hamilton, New
                 Zealand",
  classcodes =   "C7310 (Mathematics); C6180 (User interfaces)",
  classification = "C6180 (User interfaces); C7310 (Mathematics)",
  corpsource =   "Dept. of Math. and Stat., Waikato Univ., Hamilton, New
                 Zealand",
  fjournal =     "SIGSAM Bulletin",
  issue =        "97",
  keywords =     "algebra system; argument passing; Argument passing;
                 Common LISP; computer; Computer algebra system;
                 default; Default settings; defaults-database file;
                 Defaults-database file; external code; External code;
                 FORTRAN; Graflink; high level; High level interfaces;
                 IMSL; interactive front end; Interactive front end;
                 InterCall; interfaces; IRENA; Library; Macsyma;
                 Mathematica package; NAG Fortran Library; NAG Graphics;
                 NAG Graphics Library; Naglink; numeric library; Numeric
                 library; Numerical Algorithms Group; Numlink; Reduce;
                 SENAC; Sencore; settings; subroutines; symbol
                 manipulation; symbolic computing; Symbolic computing;
                 symbolic manipulation interpreter; Symbolic
                 manipulation interpreter; user interfaces; user-written
                 files; User-written files",
  thesaurus =    "FORTRAN; Subroutines; Symbol manipulation; User
                 interfaces",
  treatment =    "P Practical; R Product Review",
}

@Article{Diver:1991:MWC,
  author =       "D. A. Diver",
  title =        "Modelling Waves with Computer Algebra",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "11",
  number =       "3",
  pages =        "275--290 (or 275--289??)",
  month =        mar,
  year =         "1991",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "A sophisticated model for linear waves in an
                 inhomogeneous plasma is tackled completely using the
                 computer algebra system {REDUCE}. The algebra code
                 mirrors the mathematics, and is structured in a simple
                 and straightforward manner. In so doing, the solution
                 technique is made obvious, and the overall philosophy
                 of the approach is intuitive to the {non-specialist}
                 computer algebra user.",
  acknowledgement = ack-nhfb,
  classcodes =   "A5235 (Waves, oscillations, and instabilities in
                 plasma); C7320 (Physics and Chemistry)",
  corpsource =   "Dept. of Phy. and Astron., Glasgow Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "computer algebra; inhomogeneous plasma; linear waves;
                 physics computing; plasma waves; REDUCE",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Eastwood:1991:OVR,
  author =       "James W. Eastwood",
  title =        "{ORTHOVEC}: version 2 of the {REDUCE} program for
                 {$3$-D} vector analysis in orthogonal curvilinear
                 coordinates",
  journal =      j-COMP-PHYS-COMM,
  volume =       "64",
  number =       "1",
  pages =        "121--122",
  month =        apr,
  year =         "1991",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "AEA Technology, Culham Lab",
  affiliationaddress = "Abingdon, Engl",
  classification = "631; 722; 723; 932",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; Computer Algebra; Computer Programming
                 Languages --- High Level Languages; Computer Software;
                 Computer Workstations --- Applications; Hydrodynamics
                 --- Research; Mathematical Techniques --- Vectors;
                 orthovec; Plasmas --- Research; Series Expansions;
                 Three Dimensional Vector Analysis",
}

@Article{Elishakoff:1991:ABC,
  author =       "Isaac Elishakoff and Baruch Pletner",
  title =        "Analysis of buckling by computer algebra",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "88",
  number =       "3",
  pages =        "299--309",
  month =        jul,
  year =         "1991",
  CODEN =        "CMMECC",
  ISSN =         "0045-7825, 0374-2830",
  ISSN-L =       "0045-7825",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Florida Atlantic Univ",
  affiliationaddress = "Boca Raton, FL, USA",
  classification = "408; 723; 921",
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
  journalabr =   "Comput Methods Appl Mech Eng",
  keywords =     "Buckling; Columns; Computer Algebra Buckling Analysis;
                 Computer Programming Languages --- fortran; Computer
                 Programs; Differential Equations; Iterative Initial
                 Parameter Method; Mathematical Techniques --- Algebra;
                 Mathematical Techniques --- Iterative Methods; Software
                 Package Reduce; Structural Analysis --- Computer
                 Applications",
}

@TechReport{Ganzha:1991:SDM,
  author =       "Victor G. Ganzha and Evgenii V. Vorozhtsov and
                 Christoph Zenger",
  title =        "{Sta\-bi\-li\-t{\"a}ts\-un\-ter\-such\-ung von
                 Differenzenverfahren mit Hilfe der Resultantenalgebra
                 unter Verwendung des Reduce-systems}",
  number =       "TUM-I9120",
  institution =  "Institute for Computer Science, Technical University
                 Munich",
  address =      "M{\"{u}}nchen, Germany",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Misc/IMMD_IV.bib; Misc/TUBScsd.bib",
  annote =       "es wird ein Verfahren f{\"u}r Automatische
                 Stabilit{\"a}tsanalyse von Differenzenschemata f{\"u}r
                 Partielle Differentialgleichungen.",
  descriptor =   "Differentialgleichung, Differenzenschema,
                 Stabilit{\"{a}}t",
}

@InProceedings{Gerdt:1991:LSC,
  author =       "V. P. Gerdt and N. V. Khutornoy and A. Yu. Zharkov",
  title =        "{Lie-Backlund} symmetries of coupled nonlinear
                 {Schrodinger} equations",
  crossref =     "Watt:1991:IPI",
  pages =        "313--314",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Applies computer-aided symmetry approach to an
                 investigation of an eight-parametric system of two
                 coupled nonlinear Schrodinger equations. Symmetry
                 approach allows one not only to verify the necessary
                 integrability conditions which follow from the
                 existence of a higher infinitesimal or Lie-Backlund
                 symmetry but often to find an explicit form of the
                 latter. The corresponding necessary conditions in the
                 form of existence of the series of the local
                 conservation laws lead to the system of nonlinear
                 algebraic equations in numeric parameters. As a result
                 of the first two necessary integrability conditions the
                 REDUCE program provided with some new additional
                 facilities, generates the three set of algebraic
                 equations.",
  acknowledgement = ack-nhfb,
  affiliation =  "JINR, Moscow, USSR",
  classification = "C4170 (Differential equations)",
  keywords =     "Lie-Backlund symmetry; Nonlinear Schrodinger
                 equations",
  thesaurus =    "Schrodinger equation; Symbol manipulation",
}

@TechReport{Gerdt:1991:RPS,
  author =       "V. P. Gerdt and P. Tiller",
  title =        "A {Reduce} Program for Symbolic Computation of
                 {Puiseux} Expansions",
  type =         "Preprint",
  number =       "E5-91-401",
  institution =  "Joint Institute for Nuclear Research",
  address =      "Dubna, Russia",
  pages =        "9",
  year =         "1991",
  MRclass =      "14Q99 (68Q40)",
  MRnumber =     "1148589 (92i:14052)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  note =         "With a Russian summary.",
  series =       "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta
                 Yadernykh Issledovani\u\i. Dubna} [Communications of
                 the Joint Institute for Nuclear Research. Dubna],
                 E5-91-401",
  acknowledgement = ack-nhfb,
  keywords =     "Reduce computer-algebra system",
}

@InProceedings{GonzalezVega:1991:WRA,
  author =       "L. {Gonzalez Vega}",
  title =        "Working with real algebraic plane curves in {REDUCE}:
                 the {GCUR} package",
  crossref =     "Watt:1991:IPI",
  pages =        "397--402",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Presents an implementation in Reduce of a package to
                 get topological and geometric information about real
                 algebraic plane curves defined as the real zeros of
                 polynomials in $ Z(x, y) $. More precisely, if $P$ in $
                 Z(x, y) $ the output using the package GCUR will be a
                 plane graph homeomorphic to the set: $ C(P) = ((\alpha,
                 \beta) \in R^2 / P(\alpha, \beta) = 0)$.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. Mat., Cantabria Univ., Santander, Spain",
  classification = "C4190 (Other numerical methods)",
  keywords =     "Algebraic plane curves; GCUR; Geometric information;
                 Plane graph; REDUCE; Topological information",
  thesaurus =    "Computational geometry; Poles and zeros; Polynomials;
                 Symbol manipulation; Topology",
}

@Article{Gragert:1991:GDG,
  author =       "P. K. H. Gragert and P. H. M. Kersten",
  title =        "Graded Differential Geometry in {REDUCE}:
                 Supersymmetry Structures of the Modified {KdV}
                 Equation",
  journal =      j-ACTA-APPL-MATH,
  volume =       "24",
  number =       "3",
  pages =        "211--232",
  month =        sep,
  year =         "1991",
  CODEN =        "AAMADV",
  ISSN =         "0167-8019",
  ISSN-L =       "0167-8019",
  bibdate =      "Mon Feb 12 15:34:00 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Applicandae Mathematicae",
}

@TechReport{Grozin:1991:REPa,
  author =       "A. G. Grozin",
  title =        "{REDUCE} in elementary particle physics. Radiative
                 corrections",
  number =       "INP 91-46",
  institution =  "Institute of Nuclear Physics",
  address =      "Novosibirsk, USSR",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}

@TechReport{Grozin:1991:REPb,
  author =       "A. G. Grozin",
  title =        "{REDUCE} in elementary particle physics. Weak
                 interactions",
  number =       "INP 91-56",
  institution =  "Institute of Nuclear Physics",
  address =      "Novosibirsk, USSR",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
}

@Article{Hartley:1991:CIC,
  author =       "David Hartley and Robin W. Tucker",
  title =        "A constructive implementation of the
                 {Cartan--K{\"a}hler} theory of exterior differential
                 systems",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "12",
  number =       "6",
  pages =        "655--668 (or 655--667??)",
  month =        dec,
  year =         "1991",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "58A15 (58-04 68Q40)",
  MRnumber =     "92i:58005",
  MRreviewer =   "Kichoon Yang",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib; Theory/reduce.bib",
  abstract =     "An efficient algorithm for the construction of a
                 regular chain of involutive integral elements for a
                 general exterior differential system is presented. It
                 is based upon the existence theorems of the
                 Cartan--K{\"a}hler theory, and may be used to analyse
                 partial differential equations by formulating them as
                 exterior differential systems.",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C4170 (Differential equations)",
  corpsource =   "Sch. of Phys. and Mater., Lancaster Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algorithm; Cartan-; constructive implementation;
                 differential equations; exterior calculus EXCALC
                 REDUCE; exterior differential systems; involutive
                 integral elements; Kahler theory; mathematics
                 computing; partial; partial differential equations;
                 REDUCE implementation; regular chain; symbol
                 manipulation",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Manual{Hearn:1991:RUM,
  author =       "A. C. Hearn",
  title =        "{REDUCE} User's Manual, Version 3.4",
  organization = "The Rand Corporation",
  address =      "Santa Monica (CA)",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib",
}

@InProceedings{Hietarinta:1991:AFM,
  author =       "J. Hietarinta",
  booktitle =    "Proc. of the Workshop on Symbolic and Numeric
                 Computation",
  title =        "From an analytical formula to a movie by way of
                 {REDUCE} and {C}",
  publisher =    "Research Reports, Computing Centre of Helsinki
                 University",
  pages =        "117--126",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Ilyin:1991:PIF,
  author =       "V. A. Ilyin and A. P. Kryukov and A. Ya. Rodinov and
                 A. Yu. Taranov",
  title =        "{PC} implementation of fast {Dirac} matrix trace
                 calculations",
  crossref =     "Watt:1991:IPI",
  pages =        "456--457",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Presents an implementation of a fast algorithm for
                 Dirac matrix trace calculations. This implementation is
                 made for IBM compatible PC and works under REDUCE
                 3.3.1. Name of package is CVIT. The algorithm is based
                 on intense use of Fierz identities in N-dimensional
                 space ($N$ is arbitrary natural number or symbol) and
                 may be considered as an extension of well known Kahane
                 algorithm on higher space dimensions.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. for Nucl. Phys., Moscow State Univ., USSR",
  classification = "C7320 (Physics and Chemistry)",
  keywords =     "CVIT; Dirac matrix trace calculations; Fierz
                 identities; IBM compatible PC; Kahane algorithm;
                 N-dimensional space; REDUCE 3.3.1",
  thesaurus =    "IBM computers; Matrix algebra; Physics computing;
                 Symbol manipulation",
}

@InProceedings{Ilyin:1991:SST,
  author =       "V. A. Ilyin and A. P. Kryukov",
  title =        "Symbolic simplification of tensor expressions using
                 symmetries, dummy indices and identities",
  crossref =     "Watt:1991:IPI",
  pages =        "224--228",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "The algorithm based on simple geometrical ideas is
                 suggested for simplification of tensor expressions
                 which takes into account symmetries, dummy indices, and
                 linear identities with many terms. The results of the
                 realization in REDUCE system are adduced. The Riemann
                 tensor is used as an example.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. for Nucl. Phys., Moscow State Univ., USSR",
  classification = "C1110 (Algebra); C1160 (Combinatorial mathematics);
                 C7310 (Mathematics)",
  keywords =     "Dummy indices; Geometrical ideas; Linear identities;
                 REDUCE; Simplification; Symbolic simplification;
                 Symmetries; Tensor expressions",
  thesaurus =    "Mathematics computing; Symbol manipulation",
}

@Article{Ioakimidis:1991:CEC,
  author =       "N. I. Ioakimidis",
  title =        "Construction of the equation of caustics in dynamic
                 plane elasticity problems with the help of {Reduce}",
  journal =      j-COMP-STRUCTURES,
  volume =       "41",
  number =       "2",
  pages =        "407--409",
  month =        "????",
  year =         "1991",
  CODEN =        "CMSTCJ",
  ISSN =         "0045-7949 (print), 1879-2243 (electronic)",
  ISSN-L =       "0045-7949",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Patras",
  affiliationaddress = "Patras, Greece",
  classcodes =   "A0340D (Mathematical theory of elasticity); A0270
                 (Computational techniques); A4630C (Elasticity); A4630N
                 (Fracture mechanics, fatigue, and cracks); C7320
                 (Physics and Chemistry); C7440 (Civil and mechanical
                 engineering); C7310 (Mathematics)",
  classification = "421; 921; 931",
  corpsource =   "Div. of Appl. Math. and Mech., Patras Univ., Greece",
  fjournal =     "Computers and Structures",
  journalabr =   "Comput Struct",
  keywords =     "Analysis; complicated algebraic; computations;
                 computer algebra system; Computer Algebra System
                 Reduce; Computer Science; computing; crack; cracks;
                 dynamic plane elasticity; Dynamics--Analysis;
                 Elasticity; elasticity; Equation of Caustics; fracture
                 mechanics; fundamental equation of caustics; hole;
                 Mathematical Techniques--Numerical Methods;
                 mathematics; mechanical engineering computing; physics;
                 Plane Elasticity; REDUCE; symbol manipulation",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Ioakimidis:1991:CSI,
  author =       "N. I. Ioakimidis",
  title =        "Construction of singular integral equations for
                 interacting straight cracks by using {Reduce}",
  journal =      j-ENG-FRACTURE-MECH,
  volume =       "40",
  number =       "6",
  pages =        "1179--1184",
  month =        "????",
  year =         "1991",
  CODEN =        "EFMEAH",
  ISSN =         "0013-7944",
  ISSN-L =       "0013-7944",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Patras",
  affiliationaddress = "Patras, Greece",
  classcodes =   "A4630N (Fracture mechanics, fatigue, and cracks);
                 A0230 (Function theory, analysis)",
  classification = "421; 723; 921; 931",
  corpsource =   "Div. of Appl. Math. and Mech., Patras Univ., Greece",
  fjournal =     "Engineering fracture mechanics",
  journalabr =   "Eng Fract Mech",
  keywords =     "antiplane elasticity; Computer Aided Analysis;
                 Computer Software; Crack Interactions; Crack
                 Propagation; crack-edge stress field analysis; Fracture
                 Mechanics; integral equations; interacting straight
                 cracks; Mathematical Techniques--Integral Equations;
                 plane elasticity; REDUCE; Singular Integral Equations;
                 singular integral equations; Software Package Reduce",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Keady:1991:GRM,
  author =       "G. Keady",
  title =        "{GENTRANs} from {REDUCE} and from {MACSYMA}",
  number =       "II/13",
  institution =  "University of Waikato Mathematics Department",
  address =      "Waikato, New Zealand",
  month =        sep,
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib",
}

@InProceedings{Liska:1991:ADS,
  author =       "R. Liska and M. Yu. Shashkov",
  title =        "Algorithms for difference schemes construction on
                 non-orthogonal logically rectangular meshes",
  crossref =     "Watt:1991:IPI",
  pages =        "419--426",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Deals with the formalization of the basic operator
                 method for construction of difference schemes for the
                 numerical solving of partial differential equations.
                 The strength of the basic operator method lies in the
                 fact that it produces fully conservative difference
                 schemes. The difference mesh can be non-orthogonal but
                 has to be logically orthogonal. Algorithms for working
                 with grid functions and grid operators in symbolic form
                 which are necessary in the basic operator method are
                 described. The algorithms have been implemented in the
                 computer algebra system REDUCE.",
  acknowledgement = ack-nhfb,
  affiliation =  "Fac. of Nucl. Sci. and Phys. Eng., Czech Tech. Univ.,
                 Prague, Czechoslovakia",
  classification = "C4170 (Differential equations)",
  keywords =     "Basic operator method; Computer algebra; Difference
                 mesh; Difference schemes; Grid functions; Grid
                 operators; Logically orthogonal; Numerical solving;
                 Partial differential equations; Rectangular meshes;
                 REDUCE",
  thesaurus =    "Numerical methods; Partial differential equations;
                 Symbol manipulation",
}

@Book{McCallum:1991:ACR,
  author =       "M. McCallum and F. Wright",
  title =        "Algebraic Computation with {REDUCE}",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "????",
  year =         "1991",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Sat Jun 17 16:42:43 2000",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  xxnote =       "Was this ever published? Cannot find it in Library of
                 Congress, OCLC WorldCat, or publisher's catalog.",
}

@Article{Pasini:1991:SCO,
  author =       "P. Pasini and F. Semeria and C. Zannoni",
  title =        "Symbolic Computation of Orientational Correlation
                 Function Moments",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "12",
  number =       "2",
  pages =        "221--231 (or 221--232??)",
  month =        aug,
  year =         "1991",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "Ai/LP.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7320 (Physics and Chemistry)",
  corpsource =   "INFN, Bologna, Italy",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "analytic evaluation; biaxially; computer algebra;
                 moments; orientational correlation function; physics
                 computing; REDUCE; SCHOONSCHIP; series expansion;
                 statistical physics; symbol manipulation; symbolic
                 manipulation; symmetric particles; Taylor;
                 time-correlation functions; uniaxial fluid",
  treatment =    "P Practical",
}

@InProceedings{Renner:1991:NEE,
  author =       "F. Renner",
  title =        "Nonlinear evolution equations and the {Painlev{\'e}}
                 analysis: a constructive approach with {REDUCE}",
  crossref =     "Watt:1991:IPI",
  pages =        "289--294",
  year =         "1991",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "A number of necessary conditions for a class of
                 nonlinear partial differential equations to pass the
                 Painleve test with the Kruskal ansatz is given. Using
                 these one can (theoretically) construct all evolution
                 equations of certain form and this property with a
                 computer algebra package based on REDUCE.",
  acknowledgement = ack-nhfb,
  affiliation =  "Kassel Univ., Germany",
  classcodes =   "C4170 (Differential equations)",
  classification = "C4170 (Differential equations)",
  corpsource =   "Kassel Univ., Germany",
  keywords =     "computer algebra; Computer algebra package; equations;
                 evolution equations; Evolution equations; Kruskal
                 ansatz; nonlinear differential equations; nonlinear
                 partial differential equations; Nonlinear partial
                 differential equations; package; Painleve; Painleve
                 test; partial differential; REDUCE; symbol
                 manipulation; test",
  sponsororg =   "ACM",
  thesaurus =    "Nonlinear differential equations; Partial differential
                 equations; Symbol manipulation",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Roelofs:1991:IMO,
  author =       "M. Roelofs and P. K. H. Gragert",
  title =        "Implementation of multilinear operators in {REDUCE}
                 and applications in mathematics",
  crossref =     "Watt:1991:IPI",
  pages =        "390--396",
  year =         "1991",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "In this paper we introduce and implement a concept for
                 dealing with mathematical bases of linear spaces and
                 mappings (multi)linear with respect to such bases, in
                 {REDUCE}. Using this concept we give some examples how
                 to implement some well known (multi)linear mappings in
                 mathematics with very little effort. Moreover we
                 implement a procedure operatorcoeff similar to the
                 standard {REDUCE} procedure coeff, but now for linear
                 spaces instead of polynomial rings.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Appl. Math., Twente Univ., Enschede,
                 Netherlands",
  classcodes =   "C4140 (Linear algebra); C7310 (Mathematics)",
  classification = "C4140 (Linear algebra); C7310 (Mathematics)",
  corpsource =   "Dept. of Appl. Math., Twente Univ., Enschede,
                 Netherlands",
  keywords =     "linear algebra; linear spaces; Linear spaces;
                 mappings; Mappings; multilinear operators; Multilinear
                 operators; REDUCE; symbol manipulation",
  sponsororg =   "ACM",
  thesaurus =    "Linear algebra; Symbol manipulation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Roque:1991:CAS,
  author =       "Waldir L. Roque and Renato P. {dos Santos}",
  title =        "Computer Algebra in Spacetime Embedding",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "12",
  number =       "3",
  pages =        "381--389",
  month =        sep,
  year =         "1991",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "83-04 (53-04 68Q40)",
  MRnumber =     "92g:83002",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "In this paper we describe an algorithm to determine
                 the vectors normal to a space-time $ {V}_4 $ embedded
                 in a pseudo-Euclidean manifold $ {M}_{4 + N} $. An
                 application of this algorithm is given considering the
                 Schwarzschild spacetime geometry embedded in a 6
                 dimensional pseudo-Euclidean manifold, using the
                 algebraic computing system REDUCE.",
  acknowledgement = ack-nhfb,
  classcodes =   "A0420J (Solutions to equations); A0240 (Geometry,
                 differential geometry, and topology); A0260 (Numerical
                 approximation and analysis); A9530S (Relativity and
                 gravitation); C7320 (Physics and Chemistry); C6130
                 (Data handling techniques)",
  corpsource =   "Dept. de Matematica, Brasilia Univ., Brazil",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebraic; computing system; general relativity;
                 geometry; manifold; manipulation; physics computing;
                 pseudo-Euclidean; REDUCE; Schwarzschild metric;
                 Schwarzschild spacetime geometry; space-time
                 configurations; spacetime embedding; symbol",
  treatment =    "P Practical",
  xxauthor =     "W. L. Roque and R. P. Dos Santos",
}

@InProceedings{Rudenko:1991:ACA,
  author =       "V. M. Rudenko and V. V. Leonov and A. F. Bragazin and
                 I. P. Shmyglevsky",
  title =        "Application of computer algebra to the investigation
                 of the orbital satellite motion",
  crossref =     "Watt:1991:IPI",
  pages =        "450--451",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Presents the features of a program package
                 `Polymech-symbol' helping to solve some laborious
                 mechanical problems. The package was written by means
                 of the REDUCE system and contains several algorithms in
                 a form of REDUCE procedures. The authors consider the
                 problems of navigation and center of mass motion on
                 board a satellite.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. for Problems of Mech., Acad. of Sci., Moscow,
                 USSR",
  classification = "C7460 (Aerospace engineering)",
  keywords =     "Center of mass motion; Computer algebra; Navigation;
                 Orbital satellite motion; Polymech-symbol; REDUCE
                 system",
  thesaurus =    "Aerospace computing; Artificial satellites; Symbol
                 manipulation",
}

@InProceedings{Schlegel:1991:DRS,
  author =       "H. Schlegel",
  title =        "Determination of the root system of semisimple {Lie}
                 algebras from the {Dynkin} diagram",
  crossref =     "Watt:1991:IPI",
  pages =        "239--240",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "One way to represent the properties of the Lie algebra
                 for calculations is by means of the commutation
                 relations, i.e. the structure constants. The paper
                 shows a way of the calculation of the Cartan-Weyl basis
                 for all simple Lie algebras starting from the Dynkin
                 diagram. The package DYNKIN written in REDUCE
                 implements the described relations and can as an
                 application be used to perform the calculations for a
                 specified Lie algebra.",
  acknowledgement = ack-nhfb,
  affiliation =  "Zentralinstitut fur Elektronenphys., Berlin, Germany",
  classification = "C1110 (Algebra); C7310 (Mathematics)",
  keywords =     "Cartan-Weyl basis; Commutation relations; Dynkin
                 diagram; Root system; Semisimple Lie algebras; Simple
                 Lie algebras; Structure constants",
  thesaurus =    "Algebra; Diagrams; Mathematics computing",
}

@Article{Seiler:1991:SRP,
  author =       "Werner M. Seiler",
  title =        "{SUPER\-CALC} --- a {REDUCE} package for commutator
                 calculations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "66",
  number =       "2-3",
  pages =        "363--376",
  month =        sep # "\slash " # oct,
  year =         "1991",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ Karlsruhe",
  affiliationaddress = "Karlsruhe, Ger",
  classification = "723; 931; 932",
  comment =      "A {REDUCE} package for commutator calculations in
                 sypersymmetric theories (including ordered products)
                 and for infinite sums is presented and an application
                 to the computation of anomalies in string theory is
                 given.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Applications; Commutator Calculations; Computer Aided
                 Analysis; Computer Software; Physics--High Energy;
                 Software Package supercalc; String Theory",
}

@InProceedings{Surguladze:1991:APC,
  author =       "L. R. Surguladze and M. A. Samuel",
  title =        "Algebraic perturbative calculations in high energy
                 physics. {Methods}, algorithms, computer programs and
                 physical applications",
  crossref =     "Watt:1991:IPI",
  pages =        "439--447",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "The methods and algorithms for high order algebraic
                 perturbative calculations in theoretical high energy
                 physics are briefly reviewed. The SCHOONSCHIP program
                 MINCER and the REDUCE program LOOPS for analytical
                 computation of arbitrary massless, one-, two- and
                 three-loop Feynman diagrams of the propagator type are
                 described. The version of the program LOOPS for
                 personal computers and the extended version of the
                 program MINCER for four-loop renormalization group
                 calculations are presented. The new program for
                 algebraic perturbative calculations is also discussed.
                 This program is written on the new algebraic
                 programming system FORM. Some recent results of
                 application to the high energy physics are given.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. for Nucl. Res., Acad. of Sci., Moscow, USSR",
  classification = "A0270 (Computational techniques); A1110G
                 (Renormalization); C7320 (Physics and Chemistry)",
  keywords =     "Algebraic perturbative calculations; Feynman diagrams;
                 High energy physics; LOOPS; MINCER; REDUCE; SCHOONSCHIP
                 program",
  thesaurus =    "Feynman diagrams; Physics computing; Renormalisation;
                 Symbol manipulation",
}

@InProceedings{Trenkov:1991:ARS,
  author =       "I. Trenkov and M. Spiridonova and M. Daskalova",
  title =        "An application of the {REDUCE} system for solving a
                 mathematical geodesy problem",
  crossref =     "Watt:1991:IPI",
  pages =        "448--449",
  year =         "1991",
  bibdate =      "Thu Sep 26 06:00:06 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "A REDUCE program package for solving some mathematical
                 geodesy problems now under development includes
                 capabilities for solving the problem: the geographical
                 coordinates (the geographical density $ B_p $ and the
                 geographical longitude $ L_p $ ) of a point $P$ on the
                 earthly ellipsoid are to be calculated when $n$
                 different points $ C_i(i = 1, 2, \ldots {}, n) $ with
                 their geographical coordinates $ B_i $ and $ L_i $ are
                 given and the azimuths $ A_{ip} $ in all points $ C_i $
                 to the point $P$ are measured.",
  acknowledgement = ack-nhfb,
  affiliation =  "Central Lab. for Geodesy, Bulgarian Acad. of Sci.,
                 Sofia, Bulgaria",
  classification = "A9110B (Mathematical geodesy: general theory); C7310
                 (Mathematics); C7340 (Geophysics)",
  keywords =     "Geographical coordinates; Mathematical geodesy;
                 Program package; REDUCE system",
  thesaurus =    "Computational geometry; Geodesy; Geophysics computing;
                 Symbol manipulation",
}

@InProceedings{Urintsev:1991:CRA,
  author =       "A. L. Urintsev and A. V. Samoilov",
  editor =       "D. V. Shirkov and V. A. Rostovtsev and V. P. Gerdt",
  booktitle =    "In: 4th International Conference on Computer Algebra
                 in Physical Research",
  title =        "Complex Reduce-programs for analytic solution of some
                 problems of beam transport systems",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "438--442",
  year =         "1991",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Vega:1991:WRA,
  author =       "Laureano Gonz{\'a}lez Vega",
  editor =       "Stephen M. Watt",
  booktitle =    "Proc. of the 1991 International Symposium on Symbolic
                 and Algebraic Computation",
  title =        "Working with Real Algebraic Plane Curves in {REDUCE}:
                 the {GCUR} package",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "397--402",
  month =        jul,
  year =         "1991",
  bibdate =      "Sat Oct 24 12:47:49 1998",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@Article{Yamartino:1991:ACA,
  author =       "Robert J. Yamartino and Richard Pavelle",
  title =        "An Application of Computer Algebra to a Problem in
                 Stratified Fluid Flow",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "12",
  number =       "6",
  pages =        "669--672",
  month =        dec,
  year =         "1991",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "76-04 (68Q40 76V05)",
  MRnumber =     "1 141 546",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "The computationally tedious problem of considering
                 trial Green's function solutions to the fourth-order
                 partial differential equation for a stratified
                 atmosphere flowing over a hill is approached using
                 MACSYMA. Significance of the problem, solution
                 methodologies and CPU time intercomparisons using
                 various computer platforms and other algebra systems
                 are discussed.",
  acknowledgement = ack-nhfb,
  affiliation =  "Sigma Res. Corp., Westford, MA, USA",
  classcodes =   "A4755H (Stratified flows); C7310 (Mathematics); C4170
                 (Differential equations)",
  classification = "A4755H (Stratified flows); C4170 (Differential
                 equations); C7310 (Mathematics)",
  corpsource =   "Sigma Res. Corp., Westford, MA, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "computationally; Computationally tedious problem;
                 Computer algebra; computer algebra; CPU time
                 intercomparisons; fourth-; Fourth-order partial
                 differential equation; MACSYMA; mathematics computing;
                 order partial differential equation; partial
                 differential equations; Stratified atmosphere;
                 stratified atmosphere; stratified flow; Stratified
                 fluid flow; stratified fluid flow; symbol manipulation;
                 tedious problem; Trial Green's function solutions;
                 trial Green's function solutions",
  thesaurus =    "Mathematics computing; Partial differential equations;
                 Stratified flow; Symbol manipulation",
  treatment =    "A Application; P Practical",
}

@Article{Barbier:1992:AGB,
  author =       "Christine Barbier",
  title =        "Automatic generation of bending element matrices for
                 finite element method using {REDUCE}",
  journal =      j-ENG-COMP,
  volume =       "9",
  number =       "4",
  pages =        "477--494",
  month =        aug,
  year =         "1992",
  CODEN =        "ENCOEN",
  ISSN =         "0264-4401",
  ISSN-L =       "0264-4401",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7440 (Civil and mechanical engineering); C4185
                 (Finite element analysis); C7310 (Mathematics)",
  corpsource =   "Durham Univ., UK",
  fjournal =     "Engineering Computations",
  keywords =     "bending element matrices; computer algebra; finite
                 element analysis; finite element method; geometric
                 stiffness; REDUCE; stiffness matrices; structural
                 engineering computing; symbol manipulation; system",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Barbier:1992:AGM,
  author =       "Christine Barbier and Peter Bettess and Jacqueline A.
                 Bettess",
  title =        "Automatic Generation of Mapping Functions for Infinite
                 Elements Using {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "14",
  number =       "5",
  pages =        "523--534",
  month =        nov,
  year =         "1992",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "65-04 (65N30)",
  MRnumber =     "1 197 718",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "Co continuous basis functions for use in the finite
                 element method when the elements extend to infinity in
                 one or more directions can be derived simply following
                 the method of Zienkiewicz. The numerical code for these
                 functions can be generated automatically using computer
                 algebra languages such as {REDUCE}. This paper
                 describes the method and explains how {REDUCE} is used
                 to easily produce numerical code.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4185 (Finite element analysis); C7310 (Mathematics)",
  corpsource =   "Dept. of Marine Technol., Newcastle upon Tyne Univ.,
                 UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "$C_0$; code; computer algebra languages; continuous
                 basis functions; finite element analysis; finite
                 element method; infinite elements; mapping functions;
                 mathematics computing; numerical; REDUCE",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bilge:1992:RPI,
  author =       "Ay{\c{s}}e H{\"u}meyra Bilge",
  title =        "A {REDUCE} program for the integration of differential
                 polynomials",
  journal =      j-COMP-PHYS-COMM,
  volume =       "71",
  number =       "3",
  pages =        "263--268",
  month =        sep,
  year =         "1992",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "A differential polynomial F[u] is a polynomial
                 expression of the derivatives of the function u(x). A
                 {REDUCE} program for the integration of differential
                 polynomials is given. The program is tested on the
                 computation of the conserved densities of polynomial
                 evolution equations. Input and output from the test
                 runs are included in the library files.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Bocko:1992:ERB,
  author =       "J. Bocko",
  title =        "{EQSHELL} --- a {REDUCE}-based program for generation
                 of equations of equilibrium for shells",
  journal =      j-COMP-PHYS-COMM,
  volume =       "69",
  number =       "1",
  pages =        "215--222",
  month =        feb,
  year =         "1992",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Sat Feb 15 13:25:49 MST 1997",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Slovak Acad of Sciences",
  affiliationaddress = "Kosice, Czechoslovakia",
  classification = "723; 921; 931",
  comment =      "EQSHELL is a REDUCE-based program which generates the
                 equations of equilibrium for various shapes of shells.
                 This program also produces other important
                 characteristics of the shell.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "Atomic; Band Structure --- Calculations; Computer
                 Program eqshell; Computer Programs --- Applications;
                 Elasticity --- Calculations; Electrons --- Computer
                 Aided Analysis; Equations Of Equilibrium; Physics",
}

@Article{Dereli:1992:SSA,
  author =       "T. Dereli and G. {\"U}{\c{c}}oluk",
  title =        "A Study of Stationary, Axially Symmetric Space-time
                 Geometries Satisfying Modified Double Duality Equations
                 Using the Exterior Calculus Package $ {X}^{T R} $ for
                 {REDUCE}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "99",
  number =       "1",
  pages =        "169--175",
  month =        mar,
  year =         "1992",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(92)90284-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:54 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999192902846",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Derili:1992:SSA,
  author =       "T. Derili and G. {\"U}{\c{c}}oluk",
  title =        "A study of stationary, axially symmetric space-time
                 geometries satisfying modified double duality equations
                 using the exterior calculus package {$ X^T R $} for
                 {Reduce}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "98",
  number =       "2",
  pages =        "349--349",
  month =        feb,
  year =         "1992",
  CODEN =        "JCTPAH",
  DOI =          "http://dx.doi.org/10.1016/0021-9991(92)90163-S",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:53 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199919290163S",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
  remark =       "Abstract only. Full paper in \cite{Dereli:1992:SSA},
                 but note the change in spelling of the first author's
                 family name.",
}

@InProceedings{Ganzha:1992:RBC,
  author =       "V. G. Ganzha and E. V. Vorozhtsov",
  title =        "Resultant based code generation for the stability
                 analysis of difference schemes with the aid of the
                 {REDUCE} system",
  crossref =     "Houstis:1992:AIE",
  pages =        "185--192",
  year =         "1992",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A4710 (General theory, simulation and other
                 computational methods); A0340G (Fluid dynamics: general
                 mathematical aspects); C7310 (Mathematics); C7320
                 (Physics and Chemistry); C4170 (Differential
                 equations)",
  conflocation = "Dublin, Ireland; 22--26 July 1991",
  corpsource =   "Inst. of Theor. and Appl. Mech., Acad. of Sci.,
                 Novosibirsk, Russia",
  keywords =     "computer; computer algebra system; difference
                 equations; difference schemes; differential equations;
                 fluid dynamics; FORTRAN function; linear partial;
                 mathematics computing; partial differential equations;
                 physics computing; REDUCE system; resultant based code
                 generation; stability; stability analysis; symbol
                 manipulation; symbolic calculations",
  treatment =    "A Application; P Practical",
}

@Article{Hollenhorst:1992:DDF,
  author =       "Manfred Hollenhorst",
  title =        "The Design of Digital Filters Using {REDUCE}",
  journal =      j-SIGSAM,
  volume =       "26",
  number =       "1",
  pages =        "10--12",
  month =        jan,
  year =         "1992",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:01 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C5240 (Digital filters); C5260 (Digital signal
                 processing); C7410F (Communications)",
  corpsource =   "Hochschulrechenzentrum der Justus-Liebig-Univ.,
                 Giessen, Germany",
  fjournal =     "SIGSAM Bulletin",
  issue =        "99",
  keywords =     "analog filter; bilinear transform; computerised signal
                 processing; digital filters; manipulation; REDUCE;
                 symbol",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Keady:1992:FSP,
  author =       "G. Keady",
  title =        "{Fortran} subroutines produced from computer algebra
                 systems: using {GENTRANS} from {REDUCE} and from
                 {MACSYMA}",
  crossref =     "Noye:1992:CTA",
  pages =        "265--272",
  year =         "1992",
  bibdate =      "Tue Apr 9 18:05:28 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Krasilshchik:1992:DRO,
  author =       "I. S. Krasil{\cprime}shchik and P. H. M. Kersten",
  title =        "Deformations and recursion operators for evolution
                 equations",
  type =         "Memorandum",
  number =       "1104",
  institution =  "University of Twente",
  address =      "Enschede, The Netherlands",
  year =         "1992",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Melfo:1992:CCV,
  author =       "A. Melfo and L. A. N{\'u}{\~n}ez",
  title =        "Checking Collineation Vectors with {REDUCE}",
  journal =      j-GEN-RELATIVITY-GRAV,
  volume =       "24",
  number =       "11",
  pages =        "1125--1129",
  year =         "1992",
  CODEN =        "GRGVA8",
  ISSN =         "0001-7701 (print), 1572-9532 (electronic)",
  ISSN-L =       "0001-7701",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  note =         "A package of programs for writing and checking the
                 solutions to the equations for various types of
                 collineations (symmetries of the metric, Christoffel,
                 Riemann and Ricci tensors) is presented. Some examples
                 of previously found collineations that have been
                 checked are given, and new results reported.",
  fjournal =     "General Relativity and Gravitation",
}

@Article{Monagan:1992:HIT,
  author =       "Michael B. Monagan",
  title =        "A Heuristic Irreducibility Test for Univariate
                 Polynomials",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "13",
  number =       "1",
  pages =        "47--58 (or 47--57??)",
  month =        jan,
  year =         "1992",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40",
  MRnumber =     "1 153 634",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
  classcodes =   "C7310 (Mathematics); C4130 (Interpolation and function
                 approximation); C4140 (Linear algebra)",
  classification = "C4130 (Interpolation and function approximation);
                 C4140 (Linear algebra); C7310 (Mathematics)",
  corpsource =   "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algorithm; Berlekamp-Hensel; Berlekamp-Hensel
                 algorithm; evaluation; Factoring polynomials; factoring
                 polynomials; Factorization package; factorization
                 package; Heuristic irreducibility test; heuristic
                 irreducibility test; linear algebra; MACSYMA;
                 manipulation; MAPLE; Maple symbolic algebra; Maple
                 symbolic algebra system; mathematics computing;
                 polynomial factorization, MAPLE; polynomials; prime;
                 Prime evaluation; Probabilistic primality test;
                 probabilistic primality test; REDUCE; symbol; system;
                 Univariate polynomials; univariate polynomials",
  thesaurus =    "Linear algebra; Mathematics computing; Polynomials;
                 Symbol manipulation",
  treatment =    "P Practical",
}

@InCollection{Nucci:1992:IRP,
  author =       "M. C. Nucci",
  editor =       "William F. Ames and P. J. (Pieter Jacobus) {Van der
                 Houwen}",
  booktitle =    "Computational and applied mathematics, II:
                 differential equations: selected and revised papers
                 from the IMACS World Congress, Dublin, Ireland, July
                 1991",
  title =        "Interactive {REDUCE} Programs for Calculating
                 Classical, Non-Classical and Approximate Symmetries of
                 Differential Equations",
  publisher =    "North-Holland",
  address =      "London, UK",
  pages =        "345--350",
  year =         "1992",
  ISBN =         "0-444-89702-X",
  ISBN-13 =      "978-0-444-89702-2",
  LCCN =         "QA370.C625 1991",
  bibdate =      "Tue Apr 9 18:05:28 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Renner:1992:CRP,
  author =       "Friedrich Renner",
  title =        "A constructive {REDUCE} package based upon the
                 {Painlev{\'e}} analysis of nonlinear evolutions
                 equations in {Hamiltonian} and/or normal form",
  journal =      j-COMP-PHYS-COMM,
  volume =       "70",
  number =       "2",
  pages =        "409--416",
  month =        jun,
  year =         "1992",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  abstract =     "A number of necessary conditions for scalar nonlinear
                 evolution equations of normal or certain Hamiltonian
                 form to pass the {Painlev{\'e}} test in one (or two)
                 branches with the Kruskal ansatz is used to write a
                 {REDUCE} package able to construct (theoretically) all
                 equations with this property. Starting with a given
                 leading order, a degree of homogeneity and (in the
                 Hamiltonian case) a skew-adjoint differential operator,
                 the system generates al admissible resonance patterns,
                 adapts (if possible) the free parameters of the
                 equation according to the chosen pattern and the
                 constraints of the compatibility conditions. In the
                 {Painlev{\'e}} case, the general inhomogeneous equation
                 is generated and also examined. For help and further
                 investigations a set of utility procedures is
                 supplied.",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Richardson:1992:CTB,
  author =       "Daniel Richardson",
  title =        "Computing the Topology of a Bounded Non-Algebraic
                 Curve in the Plane",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "14",
  number =       "6",
  pages =        "619--644 (or 619--643??)",
  month =        dec,
  year =         "1992",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40 (03D45)",
  MRnumber =     "94e:68092",
  MRreviewer =   "Joos Heintz",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4260 (Computational geometry); C4220 (Automata
                 theory)",
  corpsource =   "Dept. of Math., Bath Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "analytic functions; bounded coordinate aligned
                 rectangle; bounded nonalgebraic curve; computational
                 geometry; constant problem; cylindrical decomposition;
                 definable constants; derivatives; false; first order
                 algebraic differential equations; local Sturm
                 sequences; oracle; polynomials; real plane; topology;
                 Turing machines; Turing reduced; zero set",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Sarlet:1992:RPS,
  author =       "W. Sarlet and J. {Vanden Bonne}",
  title =        "{REDUCE}-Procedures for the Study of Adjoint
                 Symmetries of Second-Order Differential Equations",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "13",
  number =       "6",
  pages =        "683--693",
  month =        jun,
  year =         "1992",
  CODEN =        "JSYCEH",
  DOI =          "http://dx.doi.org/10.1016/S0747-7171(10)80017-3",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "34A26 (34-04 58F35)",
  MRnumber =     "1177715 (93h:34014)",
  MRreviewer =   "L. M. Berkovich",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "Ai/LP.bib;
                 http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/cathode.bib; Theory/reduce.bib",
  abstract =     "Two {REDUCE} programs are presented which should be of
                 assistance in computing and studying so-called adjoint
                 symmetries of second-order ordinary differential
                 equations. The first program essentially serves to
                 construct the determining equations for adjoint
                 symmetries, whose leading coefficients are allowed to
                 be polynomial functions of the velocities. The second
                 program runs various tests concerning the possible
                 construction of a first integral or a Lagrangian for
                 the given system.",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C4130 (Interpolation and function
                 approximation); C4170 (Differential equations)",
  corpsource =   "Inst. voor Theor. Mech., Gent Univ., Belgium",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "adjoint symmetries; differential equations; integral;
                 Lagrangian; mathematics computing; polynomial
                 functions; polynomials; Reduce computer-algebra system;
                 REDUCE ODEs first integrals; REDUCE-procedures;
                 second-order",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Simon:1992:SMS,
  author =       "Barry Simon",
  title =        "Symbolic Math Software: It's Not Just for Mainframes
                 Anymore",
  journal =      j-PC-MAGAZINE,
  volume =       "11",
  number =       "14",
  pages =        "405--??",
  month =        aug,
  year =         "1992",
  CODEN =        "PCMGEP",
  ISSN =         "0888-8507",
  ISSN-L =       "0888-8507",
  bibdate =      "Sun Feb 4 17:20:38 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "A comparative look at today's leading mathematical
                 software reveals that now, more than ever before,
                 PC-based mathematical problem solving stands poised to
                 strike that delicate balance between raw computational
                 power and carefully crafted interface. Derive: A
                 Mathematical Assistant, Version 2.1, Maple V, Version
                 1.1, Mathematica for DOS, Version 2.0, Mathematica for
                 Windows, Version 2.0, Reduce, Version 3.4.",
  acknowledgement = ack-nhfb,
  fjournal =     "PC Magazine",
}

@Book{Steeb:1992:ACR,
  author =       "Willi-Hans Steeb and Dirk Lewien",
  title =        "Algorithms and computation with {REDUCE}",
  publisher =    pub-BIBLIO-INST,
  address =      pub-BIBLIO-INST:adr,
  pages =        "viii + 158",
  year =         "1992",
  ISBN =         "3-411-15651-1",
  ISBN-13 =      "978-3-411-15651-1",
  LCCN =         "QA76.9.A43 S74 1992",
  MRclass =      "65-04 (68W30 12Y05 13P99 15A99 16Z05 17-08)",
  MRnumber =     "1203779 (93j:65002)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  ZMnumber =     "0758.68039",
  abstract =     "This book gives a collection of 75 standard methods in
                 mathematics, physics and engineering together with
                 their programs in {REDUCE} 3.4. Each item consists of a
                 one page mathematical description and one page {REDUCE}
                 algebraic source text (in most cases a few lines only).
                 The book is an introduction by example to algebraic
                 programming in {REDUCE} and a collection of ready to
                 use solutions for many mathematical subtasks",
  acknowledgement = ack-nhfb,
  keywords =     "Reduce computer-algebra system",
}

@Book{Ueberberg:1992:ECR,
  author =       "Johannes Ueberberg",
  title =        "{Einf{\"u}hrung in die Computeralgebra mit REDUCE}.
                 ({German}) [{Introduction} to computer algebra with
                 {REDUCE}]",
  publisher =    pub-BIBLIO-INST,
  address =      pub-BIBLIO-INST:adr,
  pages =        "336",
  year =         "1992",
  ISBN =         "3-411-15781-X",
  ISBN-13 =      "978-3-411-15781-5",
  MRclass =      "68Q40 (00A05 01A99 68-01 68-03)",
  MRnumber =     "1203780 (93j:68091)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "F{\"u}r Mathematiker, Informatiker und Physiker. [For
                 mathematicians, information scientists and
                 physicists]",
  URL =          "http://www.zentralblatt-math.org/zmath/en/search/?an=0783.68005",
  ZMnumber =     "0783.68005",
  acknowledgement = ack-nhfb,
  keywords =     "Reduce computer-algebra system",
  language =     "German",
}

@Article{Bennett:1993:CAT,
  author =       "J. P. Bennett and M. Grinfeld and J. Hubble",
  title =        "Computer Algebra Techniques in Affinity Binding
                 Equations: the Dimer Case",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "15",
  number =       "1",
  pages =        "79--84 (or 79--83??)",
  month =        jan,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A3620C (Conformation (statistics and dynamics));
                 A8715H (Molecular dynamics, molecular probes, molecular
                 pattern recognition); A8715K (Molecular interactions,
                 charge transfer complexes); C7320 (Physics and
                 Chemistry)",
  comment =      "In this note we apply computer algebra techniques to
                 affinity binding equations. We treat the situation in
                 which the protein is dimeric and shows cooperative
                 binding. Special attention is paid to the case where
                 more than one molecule of the immobilized ligand can be
                 bound by the macromolecule.",
  corpsource =   "Sch. of Math. Sci., Bath Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "affinity binding; affinity chromatography; biophysics;
                 chemistry computing; computer algebra; cooperative
                 binding; dimer case; equations; immobilized ligand;
                 macromolecular dynamics; macromolecule; molecular;
                 physics computing; protein; proteins; symbol
                 manipulation",
  treatment =    "P Practical",
}

@Article{Berkovich:1993:ASS,
  author =       "L. M. Berkovich and F. L. Berkovich",
  title =        "Algorithm for solving second order linear ordinary
                 differential equations and its implementation in
                 {REDUCE}",
  journal =      "S{\=u}rikaisekikenky{\=u}sho K\=oky{\=u}roku",
  volume =       "848",
  pages =        "100--108",
  year =         "1993",
  MRclass =      "34A05 (34-04)",
  MRnumber =     "1311276 (95i:34001)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Theory and applications in computer algebra (Japanese)
                 (Kyoto, 1992)",
  acknowledgement = ack-nhfb,
  fjournal =     "S{\=u}rikaisekikenky{\=u}sho K\=oky{\=u}roku",
  keywords =     "Reduce computer-algebra system",
  language =     "Japanese",
}

@InProceedings{Blum:1993:IOC,
  author =       "W. Blum and V. Ganzha and W. Strampp",
  editor =       "G. Jacob and N. E. Oussous and S. Steinberg",
  booktitle =    "Proceedings of the 1993 International IMACS Symposium
                 on Symbolic Computation",
  title =        "An Introduction to {ODE}'s by {CAS}",
  organization = pub-IMACS,
  publisher =    "Laboratoire d'Informatique Fondamentale de Lille,
                 France",
  address =      pub-IMACS:adr,
  pages =        "110--119",
  year =         "1993",
  bibdate =      "Fri Aug 12 01:12:46 1994",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  comment =      "Use of {REDUCE} and MATHEMATICA for math education.",
}

@Article{Boyd:1993:CLS,
  author =       "John P. Boyd",
  title =        "{Chebyshev} and {Legendre} Spectral Methods in
                 Algebraic Manipulation Languages",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "16",
  number =       "4",
  pages =        "377--399",
  month =        oct,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40 (65M60)",
  MRnumber =     "94k:68094",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C7310 (Mathematics); C4130 (Interpolation and function
                 approximation); C6130 (Data handling techniques)",
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation); C6130
                 (Data handling techniques); C7310 (Mathematics)",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebraic manipulation languages; Algebraic
                 manipulation languages; bifurcations; Bifurcations;
                 Chebyshev; Chebyshev approximation; Chebyshev
                 polynomials; collocation methods; Collocation methods;
                 eigenproblem; Eigenproblem; eigenvalues and
                 eigenfunctions; Fourier series; Galerkin methods;
                 Legendre spectral methods; Maple; mathematics
                 computing; nonlinear diffusion; Nonlinear diffusion;
                 polynomial; Polynomial; polynomials; REDUCE; series
                 (mathematics); symbol manipulation; trigonometric
                 manipulations; Trigonometric manipulations",
  thesaurus =    "Chebyshev approximation; Eigenvalues and
                 eigenfunctions; Mathematics computing; Polynomials;
                 Series [mathematics]; Symbol manipulation",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Brunswick:1993:LAR,
  author =       "B. D. Brunswick",
  title =        "{LILK}: static analysis of {REDUCE} code",
  crossref =     "Fitch:1993:DIS",
  pages =        "35--43",
  year =         "1993",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C6150G (Diagnostic, testing,
                 debugging and evaluating systems); C6170 (Expert
                 systems)",
  keywords =     "algebra system REDUCE; compile time type checking
                 systems; computer; inference mechanisms; inferencing
                 techniques; information; manipulation; program bugs;
                 program debugging; symbol; system monitoring; type",
  treatment =    "P Practical",
}

@InProceedings{Edneral:1993:CGN,
  author =       "V. F. Edneral",
  title =        "Computer Generation of Normalizing Transformation for
                 Systems of Nonlinear {ODE}",
  crossref =     "Bronstein:1993:IPI",
  pages =        "14--19",
  year =         "1993",
  bibdate =      "Thu Sep 26 05:45:15 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "The article describes the Standard LISP program for
                 building a normal form and a corresponding normalizing
                 transformation of a system of ordinary differential
                 equations (ODE) in A. D. Bruno's notation (1972) up to
                 the specified order. This program also includes a
                 complete set of procedures of arithmetic for the
                 truncated power series and input/output services. This
                 gives us an opportunity to continue a treatment of
                 obtained results autonomically or in a REDUCE
                 environment. The program can work in a rational
                 arithmetic or in an approximate rational arithmetic, or
                 in a floating point arithmetic. The program usage is
                 illustrated by treating systems of weakly nonlinear
                 ODEs in the language of the truncated series. The
                 approximate solution is produced from the normal form
                 calculated up to enough high order and from the
                 corresponding normalizing transformation. This method
                 demonstrates rather good agreement with numerical
                 solutions of some well known equations.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. for Nucl. Phys., Moscow Univ., Russia",
  classification = "C4170 (Differential equations); C6110 (Systems
                 analysis and programming); C6130 (Data handling
                 techniques); C7310 (Mathematics computing)",
  keywords =     "ACM; algebraic computation; Approximate rational
                 arithmetic; Computer generation; Floating point
                 arithmetic; Input/output services; Nonlinear ODE
                 systems; Normal form; Normalizing transformation;
                 Ordinary differential equations; REDUCE environment;
                 SIGSAM; Standard LISP program; symbolic computation;
                 Truncated power series; Truncated series, ISSAC; Weakly
                 nonlinear ODEs",
  searchkey =    "cn:issac",
  thesaurus =    "Difference equations; LISP; Programming; Series
                 [mathematics]; Symbol manipulation",
}

@InProceedings{Fitch:1993:RMC,
  author =       "J. P. Fitch",
  title =        "{REDUCE} meets {CAMAL}",
  crossref =     "Fitch:1993:DIS",
  pages =        "104--15",
  year =         "1993",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C6130 (Data handling
                 techniques)",
  corpsource =   "Sch. of Math. Sci., Bath Univ., UK",
  keywords =     "CAMAL; celestial mechanics; computer algebra; general
                 purpose; lunar disturbing function; module; prototype
                 Fourier; series (mathematics); special purpose
                 algebraic systems; symbol manipulation; system REDUCE",
  treatment =    "P Practical",
}

@Article{Ganzha:1993:ARS,
  author =       "V. G. Ganzha and S. V. Meleshko and V. P. Shapeev",
  title =        "Application of the {REDUCE} system to the analysis of
                 the consistency of systems of differential equations",
  journal =      "Model. Mekh.",
  volume =       "7",
  number =       "4",
  pages =        "26--35 (1994)",
  year =         "1993",
  ISSN =         "0235-2923",
  MRclass =      "35A30 (35-04 35Q72)",
  MRnumber =     "1783122 (2001f:35025)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Rossi\u\i skaya Akademiya Nauk. Sibirskoe Otdelenie.
                 Vychislitel\cprime ny\u\i\ Tsentr. Institut
                 Teoretichesko\u\i\ i Prikladno\u\i\ Mekhaniki.
                 Modelirovanie v Mekhanike",
  keywords =     "Reduce computer-algebra system",
}

@Article{Grabe:1993:LP,
  author =       "Hans-Gert Gr{\"a}be",
  title =        "On Lucky Primes",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "15",
  number =       "2",
  pages =        "199--210 (or 199--209??)",
  month =        feb,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "13P10 (68Q40)",
  MRnumber =     "94e:13052",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4240 (Programming and algorithm theory); C4140
                 (Linear algebra); C4130 (Interpolation and function
                 approximation)",
  comment =      "Winkler (1988) and Pauer (1992) present algorithms for
                 a Hensel lifting of a modular Gr{\"o}bner basis over
                 lucky primes to a rational one. They have to solve a
                 linear system with modular polynomial entries that
                 requires another (modular) Gr{\"o}ner basis
                 computation. After an extension of luckiness to
                 arbitrary (commutative noetherian) base rings we show
                 in this paper that for a homogeneous polynomial ideal I
                 one lift not only its Gr{\"o}bner basis but also a
                 homogeneous basis of its syzygy module. The same result
                 holds for arbitrary ideals and liftings from Z/p to Q.
                 Moreover the same lifting can be obtained from a true
                 Gro{\"o}bner trace by linear algebra over Q only.
                 Parallel modular techniques allow to find such a true
                 Gro{\"o}bner and a lucky prime with high probability.
                 All these results generalize in an obvious way to
                 homogeneous modules generated by the rows of matrices
                 with polynomial entries. Since luckiness can be
                 weakened to a condition that transfers from I to higher
                 syzygy modules the lifting theorem generalizes to a
                 lifting theorem for the resolution of I.",
  corpsource =   "Inst. fur Inf., Leipzig Univ., Germany",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "computational complexity; linear algebra; polynomials;
                 parallel modular techniques; lucky primes; Hensel
                 lifting; modular Gr{\"o}bner basis; modular polynomial
                 entries; homogeneous polynomial ideal; homogeneous
                 basis; syzygy; module; linear algebra; high
                 probability",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@InProceedings{Kadlecsik:1993:TMP,
  author =       "J. Kadlecsik",
  title =        "Tensor Manipulation Package in {REDUCE}",
  crossref =     "DeGroot:1993:PCP",
  pages =        "362--363",
  year =         "1993",
  bibdate =      "Tue Apr 9 18:05:28 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Keady:1993:AIS,
  author =       "G. Keady and M. G. Richardson",
  title =        "An application of {IRENA} to systems of nonlinear
                 equations arising in equilibrium flows in networks",
  crossref =     "Bronstein:1993:IPI",
  pages =        "311--320",
  year =         "1993",
  bibdate =      "Thu Sep 26 05:34:21 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "IRENA-an Interface from REDUCE to NAG - runs under the
                 REDUCE Computer Algebra (CA) system and provides an
                 interactive front end to the NAG Fortran Library. Here
                 IRENA is tested on a problem closer to an engineering
                 problem than previously published examples. We also
                 illustrate the use of the codeonly switch, which is
                 relevant to larger scale problems. We describe progress
                 on an issue raised in the `Future Developments' section
                 in our SIGSAM Bulletin article by K. A. Broughan et al.
                 (1991): the progress improves the practical
                 effectiveness of IRENA.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Math., Western Australia Univ., Nedlands, WA,
                 Australia",
  classification = "C4150 (Nonlinear and functional equations); C6130
                 (Data handling techniques); C7310 (Mathematics
                 computing)",
  keywords =     "ACM; algebraic computation; Codeonly switch;
                 Equilibrium flows; Interactive front end; Interface
                 from REDUCE to NAG; ISSAC; NAG Fortran Library; REDUCE
                 Computer Algebra; SIGSAM, IRENA; symbolic computation;
                 Systems of nonlinear equations",
  searchkey =    "cn:issac",
  thesaurus =    "Mathematics computing; Nonlinear equations; Symbol
                 manipulation",
}

@TechReport{Kersten:1993:GFN,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
  title =        "Graded {Fr{\"o}licher--Nijenhuis} brackets and the
                 theory of recursion operators for super differential
                 equations",
  type =         "Memorandum",
  number =       "1147",
  institution =  "Twente University",
  address =      "Enschede, The Netherlands",
  pages =        "56",
  year =         "1993",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@InProceedings{Klimov:1993:SEN,
  author =       "D. M. Klimov and V. M. Rudenko and V. V. Leonov",
  title =        "Symbolic Evaluation in the Nonlinear Mechanical
                 Systems",
  crossref =     "Bronstein:1993:IPI",
  pages =        "53--54",
  year =         "1993",
  bibdate =      "Thu Sep 26 05:45:15 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "The paper presents the features of a program package,
                 Polymech-symbol, helping to solve some laborious
                 mechanical problems. The package was written by means
                 of the REDUCE system and contains several algorithms in
                 a form of REDUCE procedures. The computer algebra
                 methods may be successfully used for solving the
                 problems of navigation and defining the trajectory of
                 satellite mass centre motion. The preliminary
                 analytical research provides the effective algorithm
                 for on-board solving the problem of prediction. To
                 assure necessary accuracy, we need to construct several
                 higher approximations. Such sophisticated problems can
                 be solved only with the help of symbolic computations
                 that deal with the processing of cumbersome analytical
                 expressions. For effective analytical investigation of
                 such kinds of problems, the choice of parameters which
                 describe the perturbed orbital motion is critical. In
                 addition to the natural requirements of the calculation
                 process efficiency and the absence of singularities in
                 equations of motion, it is useful to have a unified
                 mathematical description for the angular motion and for
                 the motion of the mass centre.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. for Problems of Mech., Acad. of Sci., Moscow,
                 Russia",
  classification = "C7310 (Mathematics computing); C7320 (Physics and
                 chemistry computing)",
  keywords =     "ACM; algebraic computation; Analytical expressions;
                 Angular motion; Calculation process efficiency;
                 Computer algebra methods; Higher approximations; Mass
                 centre motion, ISSAC; Mechanical problems; Nonlinear
                 mechanical systems; Perturbed orbital motion;
                 Polymech-symbol; Prediction; Program package; REDUCE
                 procedures; REDUCE system; Satellite mass centre
                 motion; SIGSAM; symbolic computation; Symbolic
                 computations; Symbolic evaluation; Trajectory; Unified
                 mathematical description",
  searchkey =    "cn:issac",
  thesaurus =    "Mechanics; Physics computing; Symbol manipulation",
}

@Article{Klimov:1993:SMG,
  author =       "D. M. Klimov and V. V. Leonov and V. M. Rudenko",
  title =        "The study of motion for a gyroscope with gimbal
                 suspension: obtaining the highest approximations for a
                 drift of {Magnus}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "15",
  number =       "1",
  pages =        "73--78",
  month =        jan,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Wed Mar 19 13:51:24 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7320 (Physics and Chemistry)",
  comment =      "Here we give a solution to the classic problem of the
                 applied mechanics of the gyroscope. The problem is
                 reduced to using the computer algebra system {REDUCE}.
                 We show that symbolic computation is very convenient
                 for applied mechanics.",
  corpsource =   "Inst. for Problems in Mech., Russian Acad. of Sci.,
                 Moscow, Russia",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra system; applied mechanics; approximations;
                 computer; drift of Magnus; gimbal suspension;
                 gyroscope; highest; motion study; physics computing;
                 REDUCE; symbol manipulation; symbolic computation",
  treatment =    "P Practical",
}

@Article{Man:1993:CCF,
  author =       "Yiu-Kwong Man",
  title =        "Computing Closed Form Solutions of First Order {ODEs}
                 Using the {Prelle--Singer} Procedure",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "16",
  number =       "5",
  pages =        "423--444 (or 423--443??)",
  month =        nov,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "34-04 (34A05 68Q40)",
  MRnumber =     "94m:34002",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Sch. of Math. Sci., Queen Mary and Westfield Coll.,
                 London, UK",
  classcodes =   "C7310 (Mathematics); C4170 (Differential equations)",
  classification = "C4170 (Differential equations); C7310
                 (Mathematics)",
  corpsource =   "Sch. of Math. Sci., Queen Mary and Westfield Coll.,
                 London, UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "closed form solutions; Closed form solutions;
                 differential equations; first order ODEs; First order
                 ODEs; MACSYMA implementation; manipulation; mathematics
                 computing; ODEFI; ODESOLVE; Prelle--Singer;
                 Prelle--Singer procedure; procedure; PSODE; PSODE
                 versions 1; PSODE versions 2; REDUCE implementations;
                 symbol; timings; Timings; versions 2",
  thesaurus =    "Differential equations; Mathematics computing; Symbol
                 manipulation",
  treatment =    "P Practical",
}

@Book{Marti:1993:REA,
  author =       "Jed Marti",
  title =        "{RLISP '88}: an evolutionary approach to program
                 design and reuse",
  volume =       "42",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xiii + 254",
  year =         "1993",
  ISBN =         "981-02-1479-0",
  ISBN-13 =      "978-981-02-1479-1",
  LCCN =         "QA76.73.L23 M36 1993",
  bibdate =      "Mon Sep 15 10:34:23 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "World Scientific series in computer science",
  acknowledgement = ack-nhfb,
  subject =      "LISP (Computer program language); Programming
                 languages (Electronic computers)",
  tableofcontents = "Introduction / 1 \\
                 An RLISP Primer / 7 \\
                 Starting RLISP / 8 \\
                 Primitives / 10 \\
                 Dotted-Pair and List Notation / 17 \\
                 RLISP Expressions / 20 \\
                 Errors / 36 \\
                 Comments and Annotation / 40 \\
                 Statements / 43 \\
                 Procedures / 45 \\
                 What are Functions? / 50 \\
                 Files / 59 \\
                 The FOR Loop / 64 \\
                 REPEAT and WHILE Loops / 73 \\
                 Blocks and Transfer Functions / 77 \\
                 Input and Output / 80 \\
                 The Property List / 87 \\
                 The Symbol Table / 92 \\
                 Binding and Scope / 98 \\
                 The RECORD Data Structure / 104 \\
                 Arrays / 111 \\
                 Constant Declaration / 120 \\
                 Catching Errors / 121 \\
                 Macros and Back Quote / 123 \\
                 Top Level Control / 129 \\
                 The Compiler / 132 \\
                 Interactive Programming / 137 \\
                 Advanced Topics / 141 \\
                 Case Studies / 145 \\
                 Polynomial Curve Fitting / 145 \\
                 Pattern Matching / 148 \\
                 Biological L-Systems / 153 \\
                 Text Formatting / 165 \\
                 Functions / 187 \\
                 Primitive and Composite Data Types / 187 \\
                 Function Types / 189 \\
                 Binding Types / 189 \\
                 The Functions of Standard Lisp / 189 \\
                 Small Number Arithmetic / 196 \\
                 RLISP Specific Functions / 198 \\
                 Arithmetic Library Functions / 201 \\
                 GLOBAL and FLUID Variables of Standard Lisp / 204 \\
                 GLOBAL and FLUID Variables of RLISP / 204 \\
                 Conclusion / 207 \\
                 Textbook List / 209 \\
                 Answers to Selected Problems / 211 \\
                 Acknowledgments / 242 \\
                 Bibliography / 245 \\
                 Index / 245",
}

@TechReport{Melenk:1993:ASN,
  author =       "Herbert Melenk",
  title =        "Algebraic Solution of Nonlinear Equation Systems in
                 {REDUCE}",
  type =         "Preprint",
  number =       "TR 93-2",
  institution =  "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik",
  address =      "Berlin, Germany",
  month =        jan,
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@InProceedings{Melenk:1993:ASS,
  author =       "H. Melenk",
  editor =       "G. Jacob and N. E. Oussous and S. Steinberg",
  booktitle =    "Proceedings of the 1993 International IMACS Symposium
                 on Symbolic Computation",
  title =        "Automatic Symbolic Solution of Nonlinear Equation
                 Systems in {REDUCE}",
  organization = pub-IMACS,
  publisher =    "Laboratoire d'Informatique Fondamentale de Lille,
                 France",
  address =      pub-IMACS:adr,
  pages =        "175--180",
  year =         "1993",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "Mathematical background and algorithmic structure of
                 the nonlinear system part of the {REDUCE} 3.4.1 SOLVE
                 package.",
}

@InProceedings{Moussiaux:1993:CRPa,
  author =       "A. Moussiaux and R. Mairesse",
  title =        "{CONVODE}: a {REDUCE} Package for Differential
                 Equations",
  crossref =     "DeGroot:1993:PCP",
  pages =        "134--143",
  year =         "1993",
  bibdate =      "Tue Apr 9 18:05:28 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Moussiaux:1993:CRPb,
  author =       "A. Moussiaux",
  title =        "{CONVODE}: a {REDUCE} package for solving differential
                 equations",
  journal =      j-J-COMP-APPL-MATH,
  volume =       "48",
  number =       "1/2",
  pages =        "157--166",
  month =        oct,
  year =         "1993",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Mon Feb 12 15:34:00 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Seventh Spanish symposium on orthogonal polynomials
                 and applications: September 1991, Granada, Spain.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Norman:1993:CDS,
  author =       "A. C. Norman",
  title =        "Compact Delivery Support for {REDUCE}",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "??",
  number =       "722",
  pages =        "331--340",
  year =         "1993",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Mon Feb 12 15:34:00 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
}

@Article{Snyder:1993:FAG,
  author =       "Wayne Snyder",
  title =        "A Fast Algorithm for Generating Reduced Ground
                 Rewriting Systems from a Set of Ground Equations",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "15",
  number =       "4",
  pages =        "415--450",
  month =        apr,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q42 (68Q25)",
  MRnumber =     "94h:68115",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4210 (Formal logic)",
  corpsource =   "Dept. of Comput. Sci., Boston Univ., MA, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "closure; congruence; fast algorithm; generating
                 reduced ground rewriting systems; Knuth--Bendix
                 procedures; lexicographic path; linear space; ordering;
                 quadratic space; rewriting systems; set of ground
                 equations; theorem proving; total precedence ordering;
                 worst-case time",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Book{Stauffer:1993:CSC,
  author =       "Dietrich Stauffer and F. W. Hehl and V. Winkelmann and
                 J. G. Zabolitzky",
  title =        "Computer simulation and computer algebra: lectures for
                 beginners",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  edition =      "Third",
  pages =        "x + 387",
  year =         "1993",
  ISBN =         "3-540-56530-2 (Berlin), 0-387-56530-2 (New York)",
  ISBN-13 =      "978-3-540-56530-7 (Berlin), 978-0-387-56530-9 (New
                 York)",
  LCCN =         "QA76.9.C65 C656 1993",
  bibdate =      "Fri Nov 01 07:19:14 2002",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Zharkov:1993:CCI,
  author =       "A. Yu. Zharkov",
  title =        "Computer Classification of the Integrable Coupled
                 {Kdv}-like Systems with Unit Main Matrix",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "15",
  number =       "1",
  pages =        "85--90",
  month =        jan,
  year =         "1993",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "35Q53 (68Q40)",
  MRnumber =     "94b:35252",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4170 (Differential equations); C7310 (Mathematics);
                 C4140 (Linear algebra)",
  comment =      "The classification of 2-component systems of equations
                 for the form
                 $u^{i}_{t}=u^{i}_{xxx}+c_{ij}u^{i}u^{j}_{x}(i,j=1,2)$
                 which possess higher symmetries is given. A new class
                 of such integrable KdV-like systems is obtained. All
                 the computations have been done using the {REDUCE}
                 computer algebra system.",
  corpsource =   "Saratov State Univ., Russia",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "equations; integrable coupled Kdv-like systems;
                 mathematics computing; matrix algebra; partial
                 differential; PDE; REDUCE computer algebra system;
                 symbol manipulation; unit main matrix",
  treatment =    "P Practical",
}

@InProceedings{Borst:1994:GRP,
  author =       "W. N. Borst and V. V. Goldman and J. A. {Van
                 Hulzen}",
  title =        "{GENTRAN} 90: a {REDUCE} package for the generation of
                 {Fortran} 90 code",
  crossref =     "ACM:1994:IPI",
  pages =        "45--51",
  year =         "1994",
  bibdate =      "Thu Sep 26 05:45:15 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "GENTRAN is a code generator and translator running
                 under REDUCE and MACSYMA. It is a tool for generating
                 Fortran 77, RATFOR or C programs from program
                 specifications and symbolic expressions. Its facilities
                 include template processing, automatic segmentation of
                 large expressions and a file handling mechanism.
                 GENTRAN can be used in combination with SCOPE 1.5, a
                 source code optimization package for REDUCE. We present
                 an extension of the REDUCE version of GENTRAN, called
                 GENTRAN 90. It makes generation of Fortran 90 code
                 possible.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Comput. Sci., Twente Univ., Enschede,
                 Netherlands",
  classification = "C6115 (Programming support); C6140D (High level
                 languages); C6150C (Compilers, interpreters and other
                 processors); C7310 (Mathematics computing)",
  keywords =     "C; Code generation; Code generator; Code translator;
                 File handling; Fortran 77; Fortran 90 code; GENTRAN 90;
                 MACSYMA; Program specifications; RATFOR; REDUCE; REDUCE
                 package; SCOPE 1.5; Source code optimization package;
                 Symbolic expression; Template processing",
  thesaurus =    "FORTRAN; Optimisation; Program interpreters; Software
                 packages; Software tools; Symbol manipulation",
}

@InProceedings{Dyer:1994:ASC,
  author =       "C. C. Dyer",
  title =        "An application of symbolic computation in the physical
                 sciences",
  crossref =     "ACM:1994:IPI",
  pages =        "181--186",
  year =         "1994",
  bibdate =      "Thu Sep 26 05:45:15 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "An example of a problem in the physical sciences is
                 discussed where application of various symbolic
                 computation facilities available in many algebraic
                 computing systems leads to a significant expansion of
                 the range of problems that can be solved. Since most
                 interesting problems in the physical sciences
                 eventually require the numerical solution of systems of
                 equations, of various types, we introduce an example
                 and describe an approach to a solution, beginning at
                 the development of relevant differential equations,
                 using, for example REDUCE, and leading eventually to
                 the generation of highly efficient and stable numerical
                 code for the solution, using, in our case, the C
                 language. The use of SCOPE and GENTRAN, as well as
                 series packages in REDUCE are discussed. In many areas
                 of interest, a considerable amount of work has to be
                 performed to arrive at the symbolic equations to solve,
                 and this is particularly true in General Relativity and
                 related gravitation theories. Some packages, such as
                 REDTEN, for calculation in this field are discussed.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Astron., Toronto Univ., Ont., Canada",
  classification = "C4170 (Differential equations); C7310 (Mathematics
                 computing); C7320 (Physics and chemistry computing)",
  keywords =     "Algebraic computing systems; C language; Calculation;
                 Differential equations; General Relativity; GENTRAN;
                 Gravitation theories; Numerical code; Numerical
                 solution; Physical sciences; REDTEN; REDUCE; SCOPE;
                 Series packages; Symbolic computation; Symbolic
                 equations",
  thesaurus =    "Differential equations; Gravitation; Mathematics
                 computing; Physics computing; Symbol manipulation",
}

@InProceedings{Grabe:1994:SDC,
  author =       "H.-G. Grabe",
  title =        "A short description of {CALI} --- a {REDUCE} package
                 for commutative algebra (version 2.1)",
  crossref =     "Calmet:1994:RWC",
  pages =        "182--193",
  year =         "1994",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing); C1110 (Algebra)",
  conftitle =    "Proceedings of The Rhine Workshop on Computer
                 Algebra",
  corpsource =   "Fachbereich Math./Inf., Leipzig Univ., Germany",
  keywords =     "algebra; algorithm; CALI; commutative algebra;
                 computational model; {Gr{\"o}bner} basis; ideals;
                 modules; REDUCE package; software packages; submodules;
                 symbol manipulation",
  sponsororg =   "Univ. Karlsruhe",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Graebe:1994:SDC,
  author =       "H.-G. Graebe",
  title =        "A Short Description of {CALI} --- a {REDUCE} Package
                 for Commutative Algebra (Version 2.1)",
  crossref =     "Calmet:1994:RWC",
  pages =        "182--193",
  year =         "1994",
  bibdate =      "Tue Apr 9 18:05:28 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ito:1994:SRP,
  author =       "M. Ito",
  title =        "{SYMCD} --- a {REDUCE} package for finding symmetries
                 and conserved densities of systems of nonlinear
                 evolution equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "79",
  number =       "3",
  pages =        "547--??",
  month =        may,
  year =         "1994",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 12 15:34:00 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Jerosolimski:1994:NMF,
  author =       "M. Jerosolimski and L. Levacher",
  title =        "New method for fast calculation of {Jacobian}
                 matrices: Automatic differentiation for power system
                 simulation",
  journal =      j-IEEE-TRANS-POWER-SYSTEMS,
  volume =       "9",
  number =       "2",
  pages =        "700--706",
  month =        may,
  year =         "1994",
  CODEN =        "ITPSEG",
  DOI =          "http://dx.doi.org/10.1109/59.317672",
  ISSN =         "0885-8950 (print), 1558-0679 (electronic)",
  ISSN-L =       "0885-8950",
  bibdate =      "Wed Dec 18 11:34:40 MST 1996",
  bibsource =    "Compendex database;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Many numerical methods used in power system simulation
                 require the computation of Jacobian matrices. This
                 being particularly true for implicit integration
                 algorithms, and not for explicit ones. These
                 computations often take a significant proportion of the
                 overall CPU time. This paper presents an application of
                 the automatic differentiation method which results in
                 large savings in the computation of Jacobian matrices.
                 An original application of this method is in a software
                 which simulates power systems dynamics. As the program
                 enables the users to introduce their own models,
                 automatic differentiation becomes particularly
                 efficient. In comparison with numerical
                 differentiation, it leads to a saving of 80\% of the
                 time required for the computation of the Jacobian
                 matrices and up to 28\% of the total CPU time.
                 Automatic differentiation is a very efficient method
                 which should be valuable to other power system
                 software, in particular those which offer users the
                 possibility of defining their own models.",
  acknowledgement = ack-nhfb,
  affiliation =  "Electricit{\'e} de France",
  affiliationaddress = "Clamart, Fr",
  classification = "703.1.1; 706.1; 723.5; 921.1; 921.2; 921.6",
  conferenceyear = "1994",
  fjournal =     "IEEE Transactions on Power Systems",
  journalabr =   "IEEE Trans Power Syst",
  keywords =     "Algorithms; Computational methods; Computer aided
                 network analysis; Computer simulation; Computer
                 software; Differentiation (calculus); Electric power
                 systems; Function evaluation; Integration; Jacobian
                 matrices; Mathematical models; Matrix algebra;
                 Numerical derivative; Power system simulation; Software
                 package Macsyma; Software package Maple; Software
                 package Reduce; User defined models; User interfaces",
  publisherinfo = "IEEE Service Center",
}

@Article{Kleene:1994:SBP,
  author =       "S. J. Kleene and H. C. Cejtin",
  title =        "Solving Buffering Problems with {Mathematica}
                 Software",
  journal =      j-ANALYT-BIOCHEM,
  volume =       "222",
  number =       "2",
  pages =        "310--314",
  day =          "1",
  month =        nov,
  year =         "1994",
  CODEN =        "ANBCA2",
  ISSN =         "0003-2697",
  ISSN-L =       "0003-2697",
  bibdate =      "Mon Feb 5 09:33:30 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  abstract =     "Determining ionic concentrations in buffered solutions
                 usually reduces to solving a set of simultaneous
                 polynomial equations. Mathematica software offers a
                 convenient method for doing this. Using buffering of
                 Ca2+ by ethylene glycol bis(beta-aminoethyl
                 ether)-N,N,N',N'-tetraacetic acid (EGTA) as an example,
                 we provide a Mathematica script to estimate the
                 apparent association constant. A second example shows
                 how to calculate free ion concentrations when two
                 ligands (Ca2+ and Mg2+) compete for one chelator
                 (EGTA). Finally, the concentrations of all species are
                 determined in a complex mixture containing Ca2+, EGTA,
                 and calmodulin, a protein with four Ca(2+)-binding
                 sites. Modifying the examples presented should allow
                 analysis of most practical buffering problems.",
  acknowledgement = ack-nhfb,
  chemicalsubs = "0 (Buffers); 67-42-5 (Egtazic Acid); 7440-70-2
                 (Calcium)",
  countrypub =   "UNITED STATES",
  datesentered = "Entered 950323",
  fjournal =     "Analytical biochemistry",
  grantno =      "R01 DC00926; DC; NIDCD; PO1 DC00347; DC; NIDCD",
  meshheadings = "*Buffers; *Calcium; *Software; Algorithms; Egtazic
                 Acid; Osmolar Concentration; Support, U.S. Gov't,
                 P.H.S.",
  recordno =     "95168578",
}

@InCollection{Krasilshchik:1994:DRO,
  author =       "I. S. Krasil{\cprime}shchik and P. H. M. Kersten",
  booktitle =    "Geometry in partial differential equations",
  title =        "Deformations and recursion operators for evolution
                 equations",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "114--154",
  year =         "1994",
  MRclass =      "58H10 (35Q53 58G35)",
  MRnumber =     "1340216 (96e:58172)",
  MRreviewer =   "Kazushige Ueno",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@InProceedings{Lanyov:1994:RUC,
  author =       "A. V. Lanyov",
  title =        "{REDUCE} usage for calculations in chiral meson
                 models",
  crossref =     "Gruber:1994:PJE",
  pages =        "179--181",
  year =         "1994",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A1130R (Chiral symmetries in particle physics); A1440
                 (Mesons and meson resonances); A0270 (Computational
                 techniques); C7320 (Physics and chemistry computing)",
  conflocation = "Lugano, Switzerland; 22--26 Aug. 1994",
  conftitle =    "Proceedings of 6th Joint International Conference on
                 Physics Computing (PC'94)",
  corpsource =   "Particle Phys. Lab., JINR, Dubna, Russia",
  keywords =     "algebra; calculation; chiral meson model; chiral
                 symmetries; chiral symmetry; elementary particle
                 theory; mesons; physics computing; REDUCE; software
                 packages; symbol manipulation",
  treatment =    "P Practical",
}

@InProceedings{McCrea:1994:RGR,
  author =       "J. D. McCrea",
  title =        "{REDUCE} in general relativity and {Poincar{\'e}}
                 gauge theory",
  crossref =     "MacCallum:1994:ACG",
  pages =        "173--176",
  year =         "1994",
  bibdate =      "Tue Apr 9 18:05:28 MDT 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
}

@Book{Steeb:1994:QMU,
  author =       "Willi-Hans Steeb",
  title =        "Quantum mechanics using computer algebra: includes
                 sample programs for {REDUCE}, {MAPLE}, {MATHEMATICA}
                 and {C++}",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "viii + 189",
  year =         "1994",
  ISBN =         "981-02-1770-6",
  ISBN-13 =      "978-981-02-1770-9",
  LCCN =         "QC174.17.D37 S74 1994",
  bibdate =      "Wed Feb 15 15:58:54 1995",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Computer algorithms.; Quantum mechanics --- Data
                 processing",
}

@Article{Basios:1995:GRP,
  author =       "V. Basios and N. A. Chekanov and B. L. Markovski and
                 V. A. Rostovtsev and S. I. Vinitsky",
  title =        "{GITA}: {A REDUCE} program for the normalization of
                 polynomial Hamiltonians",
  journal =      j-COMP-PHYS-COMM,
  volume =       "90",
  number =       "2-3",
  pages =        "355--368",
  month =        oct,
  year =         "1995",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0365F (Algebraic methods in quantum theory); A0210
                 (Algebra, set theory, and graph theory); A0545 (Theory
                 and models of chaotic systems); A0365S (Semiclassical
                 theories and applications in quantum theory); C7320
                 (Physics and chemistry computing)",
  corpsource =   "Int. Solvay Inst. for Phys. and Chem., Brussels,
                 Belgium",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "algebra; angle-action coordinates; Cartesian
                 coordinates; chaos; computer; equilibrium point; GITA;
                 normal Birkhoff--Gustavson form; normalization; physics
                 computing; polynomial Hamiltonians; polynomials; power
                 series; program package; quantum theory; REDUCE
                 program; resonance condition; truncated",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Fournier:1995:VMS,
  author =       "Robert Fournier and Norbert Kajler and Bernard
                 Mourrain",
  title =        "Visualization of Mathematical Surfaces: the {IZIC}
                 Server Approach",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "19",
  number =       "1/2/3",
  pages =        "159--174 (or 159--173??)",
  month =        jan # ", " # feb # ", " # mar,
  year =         "1995",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40 (57N05 68U10)",
  MRnumber =     "1 339 116",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Design and implementation of symbolic computation
                 systems (Gmunden, 1993).",
  acknowledgement = ack-nhfb,
  affiliation =  "INRIA, Sophia Antipolis, France",
  classcodes =   "C6130B (Graphics techniques); C7310 (Mathematics
                 computing); C6180 (User interfaces)",
  classification = "C6130B (Graphics techniques); C6180 (User
                 interfaces); C7310 (Mathematics computing)",
  corpsource =   "INRIA, Sophia Antipolis, France",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "3D graphic; 3D graphic library; 3D graphic tool;
                 CAS/PI; Colors; colors; colour graphics; Command
                 language; command language; Computer algebra systems;
                 computer algebra systems; Curve manipulation; curve
                 manipulation; data visualisation; Illumination model;
                 illumination model; interactive systems; Interactive
                 tool; interactive tool; IZIC server; Macsyma;
                 manipulation; Maple; Mathematica; Mathematical surface
                 visualization; mathematical surface visualization;
                 mathematics computing; Reduce; Shading; shading;
                 Special issue on DISCO 1993; surface; Surface
                 manipulation; symbol manipulation; tool; Transparency;
                 transparency; Unix server; User interface; user
                 interface; user interfaces; Virtual graphic device;
                 virtual graphic device; ZICLIB",
  thesaurus =    "Colour graphics; Data visualisation; Interactive
                 systems; Mathematics computing; Symbol manipulation;
                 User interfaces",
  treatment =    "P Practical; T Theoretical or Mathematical",
  xxauthor =     "R. Fournier and N. Kajler and B. Mourrain",
}

@Article{Grabe:1995:ALA,
  author =       "Hans-Gert Gr{\"a}be",
  title =        "Algorithms in Local Algebra",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "19",
  number =       "6",
  pages =        "545--558 (or 545--557??)",
  month =        jun,
  year =         "1995",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "13P10 (68Q40)",
  MRnumber =     "96m:13017",
  MRreviewer =   "Pascual Jara",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4240 (Programming and algorithm theory); C1110
                 (Algebra); C7310 (Mathematics computing)",
  corpsource =   "Inst. fur Inf., Leipzig Univ., Germany",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra; algorithm theory; symbol manipulation; local
                 algebra; deformation argument; field; polynomial ring;
                 ideal intersections; module intersections; quotients;
                 radical membership decidability; local ring; mixed-type
                 term; orders; standard bases; Gr{\"o}bner bases;
                 tangent cone; algorithm; independent sets; local term
                 orders; REDUCE; package; CALI",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Hartley:1995:GBC,
  author =       "David Hartley and Philip Tuckey",
  title =        "{Gr{\"o}bner} Bases in {Clifford} and {Grassmann}
                 Algebras",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "20",
  number =       "2",
  pages =        "197--206 (or 197--205??)",
  month =        aug,
  year =         "1995",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "15A66 (15A75 16S10 68Q40)",
  MRnumber =     "96m:15038",
  MRreviewer =   "Maurice Flamant",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing); C1110 (Algebra)",
  corpsource =   "GMD, St. Augustin, Germany",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra; symbol manipulation; Gr{\"o}bner bases;
                 Grassmann algebras; Clifford algebras; characterization
                 criterion; REDUCE implementation",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Hearn:1995:CAS,
  author =       "Anthony C. Hearn and Eberhard Schr{\"u}fer",
  title =        "A Computer Algebra System Based on Order-Sorted
                 Algebra",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "19",
  number =       "1/2/3",
  pages =        "65--79 (or 65--77??)",
  month =        jan # ", " # feb # ", " # mar,
  year =         "1995",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40",
  MRnumber =     "96d:68107",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Design and implementation of symbolic computation
                 systems (Gmunden, 1993).",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "RAND, Santa Monica, CA, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171/",
  keywords =     "computer algebra system; generic objects; mathematics
                 computing; order-sorted algebra; prototype; Reduce;
                 Special issue on DISCO 1993; symbol manipulation; type
                 checking",
  treatment =    "T Theoretical or Mathematical",
}

@InCollection{Kersten:1995:GFN,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
  editor =       "V. V. Lychagin",
  booktitle =    "The interplay between differential geometry and
                 differential equations",
  title =        "Graded {Fr{\"o}licher--Nijenhuis} brackets and the
                 theory of recursion operators for super differential
                 equations",
  volume =       "167",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "91--129",
  year =         "1995",
  ISBN =         "0-8218-0428-6",
  ISBN-13 =      "978-0-8218-0428-5",
  MRclass =      "58F07 (35Q53 58C50 58H15)",
  MRnumber =     "1343985 (96e:58074)",
  MRreviewer =   "Daniel Hern{\'a}ndez Ruip{\'e}rez",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  series =       "Amer. Math. Soc. Transl. Ser. 2",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Konieczny:1995:RIS,
  author =       "Janusz Konieczny",
  title =        "Reduced Idempotents in the Semigroup of {Boolean}
                 Matrices",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "20",
  number =       "4",
  pages =        "471--482",
  month =        oct,
  year =         "1995",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "20M20 (15A33 68Q40)",
  MRnumber =     "97d:20082",
  MRreviewer =   "P. G. Trotter",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra); C4210
                 (Formal logic)",
  corpsource =   "Dept. of Math., Mary Washington Coll., Fredericksburg,
                 VA, USA",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "Boolean algebra; Boolean matrices semigroup; finite
                 set; matrix algebra; order relations; partial; reduced
                 idempotents",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Krasilshchik:1995:GDE,
  author =       "I. S. Krasil{\cprime}shchik and P. H. M. Kersten",
  title =        "Graded differential equations and their deformations:
                 a computational theory for recursion operators",
  journal =      j-ACTA-APPL-MATH,
  volume =       "41",
  number =       "1--3",
  pages =        "167--191",
  year =         "1995",
  CODEN =        "AAMADV",
  DOI =          "http://dx.doi.org/10.1007/BF00996112",
  ISSN =         "0167-8019 (print), 1572-9036 (electronic)",
  ISSN-L =       "0167-8019",
  MRclass =      "58H15 (35Q99 58F07)",
  MRnumber =     "1362126 (96j:58188)",
  MRreviewer =   "Ceferino Ruiz",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Geometric and algebraic structures in differential
                 equations",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Applicandae Mathematicae. An International Survey
                 Journal on Applying Mathematics and Mathematical
                 Applications",
  journal-URL =  "http://link.springer.com/journal/10440",
  keywords =     "Maybe Reduce algebra system",
}

@Article{Norman:1995:CDS,
  author =       "A. C. Norman",
  title =        "Compact Delivery Support for {REDUCE}",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "19",
  number =       "1/2/3",
  pages =        "133--143 (or 133--144??)",
  month =        jan # ", " # feb # ", " # mar,
  year =         "1995",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  MRclass =      "68Q40",
  MRnumber =     "1 339 114",
  bibdate =      "Sat May 10 15:54:09 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Design and implementation of symbolic computation
                 systems (Gmunden, 1993).",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing); C6120 (File
                 organisation); C6150C (Compilers, interpreters and
                 other processors)",
  corpsource =   "Comput. Lab., Cambridge Univ., UK",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "algebra; algorithms; arithmetic; compact delivery
                 support; compilation; CSL; higher level algebraic;
                 LISP; Lisp system; Lisp-coded algebra system;
                 management; mathematics computing; micro-kernel;
                 performance; portability; program compilers; REDUCE;
                 Special issue on DISCO 1993; storage; symbol
                 manipulation; system; user interfaces",
  treatment =    "P Practical",
}

@Article{Nunez:1995:ACR,
  author =       "Luis A. Nunez",
  title =        "Algebraic Computing with {REDUCE}",
  journal =      j-GEN-RELATIVITY-GRAV,
  volume =       "27",
  number =       "4",
  pages =        "457--??",
  year =         "1995",
  CODEN =        "GRGVA8",
  ISSN =         "0001-7701 (print), 1572-9532 (electronic)",
  ISSN-L =       "0001-7701",
  bibdate =      "Mon Feb 12 15:34:00 MST 1996",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "General Relativity and Gravitation",
}

@Article{Aslaksen:1996:MVC,
  author =       "Helmer Aslaksen",
  title =        "Multiple-Valued Complex Functions and Computer
                 Algebra",
  journal =      j-SIGSAM,
  volume =       "30",
  number =       "2",
  pages =        "12--20",
  month =        jun,
  year =         "1996",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:04 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing)",
  corpsource =   "Dept. of Math., Nat. Univ. of Singapore, Singapore",
  fjournal =     "SIGSAM Bulletin",
  issue =        "116",
  keywords =     "branches; complex logarithm; computer algebra; Derive;
                 exponential functions; function; functions; Maple;
                 Mathematica; mathematics computing; multiple-valued
                 complex functions; Reduce; symbol manipulation;
                 transformation rules",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bernardin:1996:RSS,
  author =       "Laurent Bernardin",
  title =        "A Review of Symbolic Solvers",
  journal =      j-SIGSAM,
  volume =       "30",
  number =       "1",
  pages =        "9--20",
  month =        mar,
  year =         "1996",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:04 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics computing); C6130 (Data handling
                 techniques)",
  corpsource =   "Inst. for Sci. Comput., Eidgenossische Tech.
                 Hochschule, Zurich, Switzerland",
  fjournal =     "SIGSAM Bulletin",
  issue =        "115",
  keywords =     "algebraic; Axiom 2.0; computer algebra system; Derive
                 3.06; equation solving; general; Macsyma 420; Maple;
                 Mathematica 2.2; purpose systems; Reduce 3.6; review;
                 software reviews; symbol manipulation; symbolic
                 solvers; transcendental equation solving; V R4",
  treatment =    "P Practical; R Product Review",
}

@InProceedings{Hartley:1996:CSI,
  author =       "D. Hartley",
  title =        "Causal structure and integrability in moving frames
                 with {Reduce}",
  crossref =     "Hehl:1996:RSC",
  pages =        "270--284",
  year =         "1996",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0420J (Solutions to equations in general relativity);
                 A0230 (Function theory, analysis); A0270 (Computational
                 techniques); A0240 (Geometry, differential geometry,
                 and topology); C7320 (Physics and chemistry computing);
                 C7310 (Mathematics computing)",
  corpsource =   "Inst. for Algorithms and Sci. Comput., Nat. Res.
                 Center for Inf. Technol., St. Augustin, Germany",
  keywords =     "causal structure; conditions; configurations;
                 differential equations; EDS; Einstein field equations;
                 equations; exterior differential systems; general
                 ansatz; geometry; integrability; isometric embedding;
                 moving frames; package; partial; partial differential;
                 physics computing; problem; process algebra; Reduce
                 package; Ricci flat immersions; space-time; symbol
                 manipulation; twisting type N spacetimes; vacuum
                 Einstein equations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Ilyin:1996:APT,
  author =       "V. A. Ilyin and A. P. Kryukov",
  title =        "{ATENSOR}: {REDUCE} program for tensor
                 simplification",
  journal =      j-COMP-PHYS-COMM,
  volume =       "96",
  number =       "1",
  pages =        "36--52",
  month =        jul,
  year =         "1996",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0270 (Computational techniques); A0210 (Algebra, set
                 theory, and graph theory); A0220 (Group theory); C7310
                 (Mathematics computing)",
  corpsource =   "Inst. of Nucl. Phys., Moscow State Univ., Russia",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "ATENSOR; canonical element; dimension; group algebra;
                 group theory; linear space; mathematics computing;
                 REDUCE program; symmetry; tensor simplification;
                 tensors; vectors",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Kadlecsik:1996:RCP,
  author =       "J. Kadlecsik",
  title =        "{Ricci} calculus package in {REDUCE}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "93",
  number =       "2-3",
  pages =        "265--282",
  month =        feb,
  year =         "1996",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "A0420 (General relativity); A0210 (Algebra, set
                 theory, and graph theory); A0270 (Computational
                 techniques); C7320 (Physics and chemistry computing);
                 C4210 (Formal logic); C1110 (Algebra)",
  corpsource =   "Central Res. Inst. for Phys., Budapest, Hungary",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "algebra; calculus; computer algebra; general
                 relativity; physics computing; process; REDUCE code;
                 Ricci calculus package; RICCIR program; software
                 packages; symbol manipulation; system; tensor algebra;
                 tensors",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Lu:1996:SCD,
  author =       "X. Y. Lu and S. K. Spurgeon",
  editor =       "{IEE}",
  booktitle =    "IEE Colloquium on Symbolic Computation for Control
                 (Digest No: 1996/078), 2 April 1996",
  title =        "Symbolic computation for dynamic sliding mode
                 controller design",
  publisher =    pub-IEE,
  address =      pub-IEE:adr,
  pages =        "4/1--4/5",
  year =         "1996",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Thu Jul 26 05:45:21 2001",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 IEEE Xplore database",
  acknowledgement = ack-nhfb,
  keywords =     "MACSYMA; Maple; Mathematica; Reduce",
}

@InProceedings{Norman:1996:IRJ,
  author =       "A. Norman and J. Fitch",
  title =        "Interfacing {REDUCE} to {Java}",
  crossref =     "Calmet:1996:DIS",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "271--276",
  year =         "1996",
  bibdate =      "Tue Mar 25 16:11:15 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C6150C (Compilers, interpreters and other processors);
                 C6130 (Data handling techniques); C6140 (Programming
                 languages)",
  conftitle =    "Proceedings of International Symposium on Design and
                 Implementation of Symbolic Computation Systems",
  corpsource =   "Comput. Lab., Cambridge Univ., UK",
  keywords =     "algebra systems; Java; problem solving; program
                 processors; programming languages; REDUCE; scientific
                 problem-solving; software bus; symbol manipulation",
  treatment =    "P Practical",
}

@Article{Dolzmann:1997:RCA,
  author =       "Andreas Dolzmann and Thomas Sturm",
  title =        "{REDLOG}: Computer algebra meets computer logic",
  journal =      j-SIGSAM,
  volume =       "31",
  number =       "2",
  pages =        "2--9",
  month =        jun,
  year =         "1997",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:04 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "120",
  keywords =     "REDUCE",
}

@Book{Grozin:1997:URH,
  author =       "A. G. Grozin",
  title =        "Using {REDUCE} in high energy physics",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xiv + 384",
  year =         "1997",
  DOI =          "http://dx.doi.org/10.1017/CBO9780511524400",
  ISBN =         "0-521-01952-4, 0-521-56002-0 (hardcover)",
  ISBN-13 =      "978-0-521-01952-1, 978-0-521-56002-3 (hardcover)",
  LCCN =         "QC793.3.H5 G76 1997",
  MRclass =      "81-04",
  MRnumber =     "1437601 (98j:81002)",
  MRreviewer =   "T. C. Mohan",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "English translation of an original Russian edition.",
  URL =          "http://www.inp.nsk.su/persons/A_G_Grozin/book/",
  acknowledgement = ack-nhfb,
  keywords =     "Reduce computer-algebra system",
  tableofcontents = "\\
                 Preface \\
                 Part I. REDUCE Language \\
                 1. Welcome to REDUCE \\
                 2. Functions and substitutions \\
                 3. REDUCE as a programming language \\
                 4. Additional facilities \\
                 5. Matrices, vectors, tensors, operators \\
                 6. Input-output \\
                 7. Examples \\
                 Part II. Selected Problems In Classical Physics \\
                 1. The classical nonlinear operator \\
                 2. Nonlinear water waves \\
                 3. Calculation of the curvature tensor \\
                 4. Examples \\
                 Part III. Quantum Mechanics \\
                 1. Adding angular momenta \\
                 2. The quantum nonlinear oscillator \\
                 3. A rotator in a weak field \\
                 4. Radiative transitions in charmonium \\
                 5. Examples \\
                 Part IV. Quantum Electrodynamics \\
                 1. Kinematics \\
                 2. Fields \\
                 3. Feynman diagrams \\
                 4. Scattering in an external field \\
                 5. Charged particle scattering \\
                 6. Photon-electron scattering \\
                 7. Positronium annihilation \\
                 Part V. Weak Interactions \\
                 1. Electroweak interaction \\
                 2. W and Z decays \\
                 3. Weak decays \\
                 4. W production \\
                 Part VI. Quantum Chromodynamics \\
                 1. Feynman diagrams in QCD \\
                 2. e+e- annihilation into hadrons \\
                 3. Charmonium decays \\
                 4. Quark and gluon scattering \\
                 Part VII. Radiative Corrections \\
                 1. Dimensional regularization and renormalization \\
                 2. Radiative corrections in quantum electrodynamics \\
                 3. Radiative corrections in quantum chromodynamics \\
                 References \\
                 Index",
}

@Article{Nieuwenhuis:1997:PBA,
  author =       "R. Nieuwenhuis and A. Rubio",
  title =        "Paramodulation with Built-in {AC}-Theories and
                 Symbolic Constraints",
  journal =      j-J-SYMBOLIC-COMP,
  volume =       "23",
  number =       "1",
  pages =        "1--22 (or 1--21??)",
  month =        jan,
  year =         "1997",
  CODEN =        "JSYCEH",
  ISSN =         "0747-7171 (print), 1095-855X (electronic)",
  ISSN-L =       "0747-7171",
  bibdate =      "Sat May 10 13:01:32 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  classification = "C1230 (Artificial intelligence); C4210 (Formal
                 logic); C4240 (Programming and algorithm theory); C7310
                 (Mathematics computing)",
  corpsource =   "Tech. Univ. of Catalonia, Barcelona, Spain",
  fjournal =     "Journal of Symbolic Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07477171",
  keywords =     "built-in AC-theories; built-in associativity; clauses;
                 commutativity; finite saturated sets; function symbols;
                 inference; inference mechanisms; Knuth--Bendix
                 completion module AC rewriting; minimal E-unifiers;
                 paramodulation; reduced search space; symbol
                 manipulation; symbolic constraints; theorem proving",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Baikov:1998:TLV,
  author =       "P. A. Baikov and M. Steinhauser",
  title =        "Three-loop vacuum integrals in {FORM} and {REDUCE}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "115",
  number =       "2--3",
  pages =        "161--169",
  day =          "2",
  month =        dec,
  year =         "1998",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(98)00125-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 21:30:33 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465598001258",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Socorro:1998:CAG,
  author =       "Jos{\'e} Socorro and Alfredo Mac{\'{\i}}as and
                 Friedrich W. Hehl",
  title =        "Computer algebra in gravity: {Reduce--Excalc} programs
                 for (non-) {Riemannian} space-times. $ {I} $",
  journal =      j-COMP-PHYS-COMM,
  volume =       "115",
  number =       "2--3",
  pages =        "264--283",
  day =          "2",
  month =        dec,
  year =         "1998",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(98)00133-7",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  MRclass =      "83-04",
  MRnumber =     "1666330 (99h:83001)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465598001337",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications. An International
                 Journal and Program Library for Computational Physics
                 and Physical Chemistry",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "Reduce computer-algebra system",
}

@Misc{Anonymous:19xx:RNL,
  key =          "ZZZ",
  title =        "{REDUCE} Network Library, Bibliography",
  year =         "19xx",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib",
  note =         "\path=reduce-library@rand.org=, wird lauf\-end
                 erg{\"a}nzt",
}

@Article{Barbier:19xx:AGS,
  author =       "C. Barbier and P. Clark and P. Bettess and J.
                 Bettess",
  title =        "Automatic Generation of Shape Functions for Finite
                 Element Analysis Using {REDUCE}",
  journal =      j-INT-J-NUM-METH-ENG,
  year =         "19xx",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/Comp.Alg.bib",
  note =         "submitted",
}

@TechReport{Cejchan:19xx:ARA,
  author =       "A. Cejchan and J. Nadrchal",
  title =        "Application of {REDUCE-2} and Analytic Integration
                 Program in the Theoretical Solid State Physics",
  institution =  "Institute of Physics, CSAV",
  address =      "Prague, Czechoslovakia",
  year =         "19xx",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Kryukov:TBD:URC,
  author =       "A. P. Kryukov and A. Ya. Rodionov",
  title =        "Usage of {REDUCE} for Computations of
                 Group-Theoretical Weight of {Feynman} Diagrams in
                 {Non-Abelian} Gauge Theories",
  institution =  "Institute of Nuclear Physics",
  address =      "Moscow, USSR",
  year =         "19xx",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
}

@TechReport{Ozieblo:19xx:ARG,
  author =       "A. Ozieblo",
  title =        "Application of {REDUCE 2} in General Theory of
                 Relativity",
  institution =  "Cyfronet",
  address =      "Krakow, Poland",
  year =         "19xx",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/reduce.bib",
  comment =      "Application of {REDUCE 2} in all calculations typical
                 for General Theory of Relativity is shown here. The
                 most spectacular usage of {REDUCE 2} appears to be in
                 various aspects of tensor calculus including
                 differentiation operations.",
}

@TechReport{vanHulzen:19xx:SSC,
  author =       "J. A. {van Hulzen}",
  title =        "{SCOPE} 1, a Source-Code Optimization Package for
                 {REDUCE} --- User's Manual",
  type =         "Technical Report",
  institution =  "Twente University of Technology, Department of
                 Computer Science",
  address =      "Enschede, The Netherlands",
  year =         "19xx",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 Theory/auto.diff.bib",
  referred =     "[Gold91a].",
}

@Article{AlvarezSobreviela:2000:RBO,
  author =       "Luis {Alvarez Sobreviela}",
  title =        "A {Reduce}-based {OpenMath} $ \leftrightarrow $
                 {MathML} Translator",
  journal =      j-SIGSAM,
  volume =       "34",
  number =       "2",
  pages =        "31--32",
  month =        jun,
  year =         "2000",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:07 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "132",
}

@Article{Denisova:2000:ACA,
  author =       "I. P. Denisova and A. A. Zubrilo",
  title =        "Application of the computer algebra ``{REDUCE}'' for
                 integrating equations of gravitation theory by the
                 {Newman--Penrose} method",
  journal =      "Mat. Model.",
  volume =       "12",
  number =       "2",
  pages =        "59--67",
  year =         "2000",
  ISSN =         "0234-0879",
  MRclass =      "83-04 (83C60 83D05)",
  MRnumber =     "1774018 (2001f:83001)",
  MRreviewer =   "Sergey I. Tertychniy",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Rossi\u\i skaya Akademiya Nauk. Matematicheskoe
                 Modelirovanie",
  keywords =     "Reduce computer-algebra system",
}

@Book{Krasilshchik:2000:SRO,
  author =       "I. S. (Iosif Semenovich) Krasil{\cprime}shchik and P.
                 H. M. Kersten",
  title =        "Symmetries and recursion operators for classical and
                 supersymmetric differential equations",
  volume =       "507",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xvi + 384",
  year =         "2000",
  ISBN =         "0-7923-6315-9 (hardcover)",
  ISBN-13 =      "978-0-7923-6315-6 (hardcover)",
  LCCN =         "QA377 .K675 2000",
  bibdate =      "Tue Sep 23 07:18:13 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Mathematics and its applications",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0822/00037545-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0822/00037545-t.html",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
  subject =      "Differential equations, Nonlinear; Conservation laws
                 (Mathematics); Symmetry (Physics)",
}

@Article{Triulzi:2000:OSU,
  author =       "Arrigo Triulzi",
  title =        "{OpenMath} support under {CSL}-hosted {{\sc Reduce}}",
  journal =      j-SIGSAM,
  volume =       "34",
  number =       "2",
  pages =        "27--30",
  month =        jun,
  year =         "2000",
  CODEN =        "SIGSBZ",
  ISSN =         "0163-5824 (print), 1557-9492 (electronic)",
  ISSN-L =       "0163-5824",
  bibdate =      "Fri Feb 8 18:27:07 MST 2002",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIGSAM Bulletin",
  issue =        "132",
}

@Article{Gao:2002:CCQ,
  author =       "Min Gao and Yasuyuki Kato and Masaaki Ito",
  title =        "Calculation of the conserved quantity for rational
                 difference equations through {REDUCE}",
  journal =      "S\=urikaisekikenky\=usho K\=oky\=uroku",
  volume =       "1295",
  pages =        "56--61",
  year =         "2002",
  MRclass =      "65Q05 (39A05)",
  MRnumber =     "1983600",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "Computer algebra---algorithms, implementations and
                 applications (Kyoto, 2001)",
  acknowledgement = ack-nhfb,
  fjournal =     "S\=urikaisekikenky\=usho K\=oky\=uroku",
  keywords =     "Reduce computer-algebra system",
}

@Article{Gao:2002:RPF,
  author =       "Min Gao and Yasuyuki Kato and Masaaki Ito",
  title =        "A {REDUCE} package for finding conserved densities of
                 systems of nonlinear difference-difference equations",
  journal =      j-COMP-PHYS-COMM,
  volume =       "148",
  number =       "2",
  pages =        "242--255",
  year =         "2002",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(02)00556-8",
  ISSN =         "0010-4655",
  ISSN-L =       "0010-4655",
  MRclass =      "39-04 (68W30)",
  MRnumber =     "1931580 (2003g:39001)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications. An International
                 Journal and Program Library for Computational Physics
                 and Physical Chemistry",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "Reduce computer-algebra system",
}

@InCollection{Kersten:2002:CIC,
  author =       "Paul Kersten and Joseph Krasil{\cprime}shchik",
  booktitle =    "{Lie} groups, geometric structures and differential
                 equations---one hundred years after {Sophus Lie
                 (Kyoto/Nara, 1999)}",
  title =        "Complete integrability of the coupled {KdV--mKdV}
                 system",
  volume =       "37",
  publisher =    "Math. Soc. Japan",
  address =      "Tokyo, Japan",
  pages =        "151--171",
  year =         "2002",
  MRclass =      "37K10 (35A30 35Q53)",
  MRnumber =     "1980900 (2004k:37146)",
  MRreviewer =   "Yuri Yu. Berest",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  series =       "Adv. Stud. Pure Math.",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@TechReport{Kersten:2002:ESS,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
                 A. M. Verbovetsky",
  title =        "An extensive study of the {$ N = 1 $} supersymmetric
                 {KdV} equation",
  type =         "Memorandum",
  number =       "1656",
  institution =  "Faculty of Mathematical Sciences, University of
                 Twente",
  address =      "Enschede, The Netherlands",
  year =         "2002",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.math.utwente.nl/publications/2002/1656abs.html",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@TechReport{Kersten:2002:ROH,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
  title =        "From recursion operators to {Hamiltonian} structures:
                 the factorization method",
  type =         "Memorandum",
  number =       "1624",
  institution =  "Faculty of Mathematical Sciences, University of
                 Twente",
  address =      "Enschede, The Netherlands",
  year =         "2002",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Passmore:2002:LPN,
  author =       "Tim Passmore and A. J. Roberts",
  title =        "Low {Prandtl} number fluid convection modelled using
                 symbolic algebra ({REDUCE}) and {Matlab}",
  journal =      j-ANZIAM-J,
  volume =       "44",
  number =       "(C)",
  pages =        "C590--C626",
  year =         "2002",
  CODEN =        "AJNOA2",
  ISSN =         "1446-1811 (print), 1446-8735 (electronic)",
  MRclass =      "76E06 (76-04)",
  MRnumber =     "MR2163212",
  bibdate =      "Tue Mar 30 16:13:03 2010",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The ANZIAM Journal. The Australian \& New Zealand
                 Industrial and Applied Mathematics Journal",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANZ",
}

@Article{Vulcanov:2002:GTD,
  author =       "Dumitru N. Vulcanov",
  title =        "Gravity, torsion, {Dirac} field and computer algebra
                 using {MAPLE} and {REDUCE}",
  journal =      "arxiv.org",
  pages =        "20",
  day =          "25",
  month =        sep,
  year =         "2002",
  bibdate =      "Sat Sep 13 17:10:43 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://arxiv.org/abs/gr-qc/0209096",
  abstract =     "The article presents computer algebra procedures and
                 routines applied to the study of the Dirac field on
                 curved spacetimes. The main part of the procedures is
                 devoted to the construction of Pauli and Dirac matrices
                 algebra on an anholonomic orthonormal reference frame.
                 Then these procedures are used to compute the Dirac
                 equation on curved spacetimes in a sequence of special
                 dedicated routines. A comparative review of such
                 procedures obtained for two computer algebra platforms
                 (REDUCE + EXCALC and MAPLE + GRTensorII) is carried
                 out. Applications for the calculus of Dirac equation on
                 specific examples of spacetimes with or without torsion
                 are pointed out.",
  acknowledgement = ack-nhfb,
}

@Book{Grabmeier:2003:CAH,
  editor =       "Johannes Grabmeier and Erich Kaltofen and Volker
                 Weispfenning",
  title =        "Computer algebra handbook: foundations, applications,
                 systems",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xx + 637",
  year =         "2003",
  ISBN =         "3-540-65466-6",
  ISBN-13 =      "978-3-540-65466-7",
  LCCN =         "QA155.7.E4 C64954 2003",
  MRclass =      "68W30, 00B15, 68-06",
  bibdate =      "Tue Nov 22 06:00:25 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Includes CD-ROM.",
  URL =          "http://www.springer.com/sgw/cda/frontpage/0,11855,1-102-22-1477871-0,00.html",
  acknowledgement = ack-nhfb,
  keywords =     "Aldor; AXIOM; Derive; exact arithmetic; Macsyma;
                 Magma; Maple Mathematica; MuPAD; REDUCE; TI-92",
  subject =      "Algebra; Data processing",
}

@Article{Igonin:2003:SCI,
  author =       "S. Igonin and P. H. M. Kersten and I.
                 Krasil{\cprime}shchik",
  title =        "On symmetries and cohomological invariants of
                 equations possessing flat representations",
  journal =      "Differential Geom. Appl.",
  volume =       "19",
  number =       "3",
  pages =        "319--342",
  year =         "2003",
  CODEN =        "DGAPEO",
  DOI =          "http://dx.doi.org/10.1016/S0926-2245(03)00049-4",
  ISSN =         "0926-2245",
  MRclass =      "58J70 (37K05 37K35 58A20)",
  MRnumber =     "2013099 (2004i:58061)",
  MRreviewer =   "Jaime Mu{\~n}oz Masqu{\'e}",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://diffiety.ac.ru/preprint/2002/07_02abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Differential Geometry and its Applications",
  keywords =     "Maybe Reduce algebra system",
}

@InProceedings{Kersten:2003:GAH,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
                 A. M. Verbovetsky",
  editor =       "????",
  booktitle =    "{Proceedings of the Conference ``Kolmogorov and
                 Contemporary Mathematics'', Moscow, Russia}",
  title =        "A geometric approach to {Hamiltonian} structures for
                 evolution equations",
  publisher =    "????",
  address =      "????",
  pages =        "815--816",
  year =         "2003",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Kersten:2003:SKE,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
                 A. M. Verbovetsky",
  title =        "The {$ N = 1 $} supersymmetric {KdV} equation:
                 (non)local {Hamiltonian} and symplectic structures,
                 recursions, and hierarchies",
  journal =      "arxiv.org",
  pages =        "15",
  year =         "2003",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://arxiv.org/abs/nlin/0305026",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@TechReport{Krasilshchik:2003:LES,
  author =       "I. S. Krasil{\cprime}shchik",
  title =        "The long exact sequence of a covering: three
                 applications",
  type =         "Preprint",
  number =       "{DIPS 6/2003}",
  institution =  "The Diffiety Institute",
  address =      "????",
  year =         "2003",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.imath.kiev.ua/~snmp2003/Proceedings/krasilshchik.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@InProceedings{Krasilshchik:2003:NHS,
  author =       "I. S. Krasil{\cprime}shchik and A. M. Verbovetsky and
                 P. H. M. Kersten",
  editor =       "????",
  booktitle =    "{Proceedings of the Conference ``Kolmogorov and
                 Contemporary Mathematics'', Moscow, Russia}",
  title =        "Nonlocal {Hamiltonian}, symplectic and recursion
                 structures for {$ N = 1 $} supersymmetric {KdV}
                 equation",
  publisher =    "????",
  address =      "????",
  pages =        "817--818",
  year =         "2003",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Vulcanov:2003:CDE,
  author =       "Dumitru N. Vulcanov",
  title =        "Calculation of the {Dirac} equation in curved
                 spacetimes with possible torsion using {MAPLE} and
                 {REDUCE}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "154",
  number =       "3",
  pages =        "205--218",
  year =         "2003",
  CODEN =        "CPHCBZ",
  DOI =          "http://dx.doi.org/10.1016/S0010-4655(03)00344-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  MRclass =      "83-04 (81T20 81T80 83C60)",
  MRnumber =     "MR2002212 (2004g:83001)",
  bibdate =      "Sat Sep 13 16:02:50 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib;
                 http://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications. An International
                 Journal and Program Library for Computational Physics
                 and Physical Chemistry",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "Reduce computer-algebra system",
}

@Article{Kersten:2004:HOC,
  author =       "P. Kersten and I. Krasil{\cprime}shchik and A.
                 Verbovetsky",
  title =        "{Hamiltonian} operators and {$ \ell^* $}-coverings",
  journal =      j-J-GEOM-PHYS,
  volume =       "50",
  number =       "1--4",
  pages =        "273--302",
  year =         "2004",
  CODEN =        "JGPHE5",
  DOI =          "http://dx.doi.org/10.1016/j.geomphys.2003.09.010",
  ISSN =         "0393-0440 (print), 1879-1662 (electronic)",
  ISSN-L =       "0393-0440",
  MRclass =      "37K05 (37K10 58D05)",
  MRnumber =     "2078229 (2005e:37143)",
  MRreviewer =   "Raffaele Vitolo",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://diffiety.ac.ru/preprint/2002/06_02abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Geometry and Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03930440",
  keywords =     "Maybe Reduce algebra system",
}

@Article{Kersten:2004:ICS,
  author =       "P. Kersten and I. Krasil{\cprime}shchik and A.
                 Verbovetsky",
  title =        "On the integrability conditions for some structures
                 related to evolution differential equations",
  journal =      j-ACTA-APPL-MATH,
  volume =       "83",
  number =       "1-2",
  pages =        "167--173",
  year =         "2004",
  CODEN =        "AAMADV",
  DOI =          "http://dx.doi.org/10.1023/B:ACAP.0000035595.97859.5d",
  ISSN =         "0167-8019 (print), 1572-9036 (electronic)",
  ISSN-L =       "0167-8019",
  MRclass =      "37K05 (35Q53 58H99)",
  MRnumber =     "2079460 (2005g:37122)",
  MRreviewer =   "Raffaele Vitolo",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Applicandae Mathematicae. An International Survey
                 Journal on Applying Mathematics and Mathematical
                 Applications",
  journal-URL =  "http://link.springer.com/journal/10440",
  keywords =     "Maybe Reduce algebra system",
}

@TechReport{Kersten:2004:MAE,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
                 A. M. Verbovetsky",
  title =        "The {Monge--Amp{\`e}re} equation: {Hamiltonian} and
                 symplectic structures, recursions, and hierarchies",
  type =         "Memorandum",
  number =       "1727",
  institution =  "Faculty EEMCS, University of Twente",
  address =      "Enschede, The Netherlands",
  pages =        "75",
  year =         "2004",
  bibdate =      "Tue Sep 23 07:44:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://www.math.utwente.nl/publications/2004/1727.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Kersten:2004:NLH,
  author =       "P. Kersten and I. Krasil{\cprime}shchik and A.
                 Verbovetsky",
  title =        "{(Non)local Hamiltonian} and symplectic structures,
                 recursions and hierarchies: a new approach and
                 applications to the {$ N = 1 $} supersymmetric {KdV}
                 equation",
  journal =      j-J-PHYS-A,
  volume =       "37",
  number =       "18",
  pages =        "5003--5019",
  year =         "2004",
  CODEN =        "JPHAC5",
  DOI =          "http://dx.doi.org/10.1088/0305-4470/37/18/007",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  MRclass =      "37K10 (35Q53 37K05)",
  MRnumber =     "2065219 (2005c:37125)",
  MRreviewer =   "Martin L{\'e}gar{\'e}",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics. A. Mathematical and General",
  journal-URL =  "http://iopscience.iop.org/0305-4470",
  keywords =     "Maybe Reduce algebra system",
}

@InCollection{MR2077900,
  author =       "Paul Kersten and Iosif Krasil{\cprime}shchik and
                 Alexander Verbovetsky",
  editor =       "A. G. Nikitin and V. M. Boyko and R. O. Popovych and
                 I. A. Yehorchenko",
  booktitle =    "Symmetry in nonlinear mathematical physics. {Part} 1,
                 2, 3",
  title =        "Nonlocal constructions in the geometry of {PDE}",
  volume =       "2",
  publisher =    "Nats\=\i onal. Akad. Nauk Ukra{\"\}i ni, \=Inst.
                 Mat.",
  address =      "Kiev, Ukraine",
  pages =        "412--423",
  year =         "2004",
  MRclass =      "58H10 (35A30 37K05 58J05 58J72)",
  MRnumber =     "2077900 (2005f:58019)",
  MRreviewer =   "Agostino Pr{\`a}staro",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "See erratum \cite{}.",
  series =       "Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 50,
                 Part 1",
  URL =          "http://www.imath.kiev.ua/~snmp2003/Proceedings/krasilshchik.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@InProceedings{Hearn:2005:RFF,
  author =       "Anthony C. Hearn",
  editor =       "Andreas Dolzmann and Andreas Seidl and Thomas Sturm",
  booktitle =    "{Algorithmic Algebra and Logic: Proceedings of the A3L
                 2005, April 3--6, Passau, Germany, Conference in Honor
                 of the 60th Birthday of Volker Weispfenning}",
  title =        "{REDUCE}: The First Forty Years",
  publisher =    "Herstellung und Verlag: Books on Demand GmhH",
  address =      "Norderstedt, Germany",
  bookpages =    "xii + 556",
  pages =        "19--24",
  year =         "2005",
  ISBN =         "3-8334-2669-1",
  ISBN-13 =      "978-3-8334-2669-8",
  LCCN =         "A155.7.E4 A39 2005",
  bibdate =      "Thu Sep 17 11:23:23 2009",
  bibsource =    "http://library.library.usna.edu;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib; U.S.
                 Naval Academy Minitz Library catalog",
  URL =          "http://reduce-algebra.com/reduce40.pdf",
  acknowledgement = ack-nhfb,
  remark =       "Invited paper. Some conference papers are published in
                 the \emph{Journal of Symbolic Computation}, volume 41,
                 issue 11 (November 2006).",
}

@Article{Kampas:2005:TUR,
  author =       "F. J. Kampas",
  title =        "Tricks of Using {Reduce} to Solve {Kuhn--Tucker}
                 Equations",
  journal =      j-MATHEMATICA-J,
  volume =       "9",
  number =       "4",
  pages =        "686--689",
  year =         "2005",
  bibdate =      "Wed Sep 10 10:57:02 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "See correction \cite{Parreiras:2014:URC}.",
  URL =          "www.mathematica-journal.com/issue/v9i4/contents/Tricks9-4/Tricks9-4_2.html",
  acknowledgement = ack-nhfb,
}

@Article{Kersten:2006:GSD,
  author =       "Paul Kersten and Iosif Krasil{\cprime}shchik and
                 Alexander Verbovetsky",
  title =        "A geometric study of the dispersionless {Boussinesq}
                 type equation",
  journal =      j-ACTA-APPL-MATH,
  volume =       "90",
  number =       "1-2",
  pages =        "143--178",
  year =         "2006",
  CODEN =        "AAMADV",
  DOI =          "http://dx.doi.org/10.1007/s10440-006-9034-5",
  ISSN =         "0167-8019",
  ISSN-L =       "0167-8019",
  MRclass =      "37K05 (35A30 35Q53 58J70 58J72)",
  MRnumber =     "2242952 (2007d:37093)",
  MRreviewer =   "Agostino Pr{\`a}staro",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Applicandae Mathematicae. An International Survey
                 Journal on Applying Mathematics and Mathematical
                 Applications",
  journal-URL =  "http://link.springer.com/journal/10440",
  keywords =     "Maybe Reduce algebra system",
}

@InCollection{MR2391504,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik",
  title =        "The {Cartan} covering and complete integrability of
                 the {KdV--mKdV} system",
  crossref =     "Hanzon:2006:CAS",
  volume =       "53",
  pages =        "251--265",
  year =         "2006",
  MRclass =      "37K10 (34C14 35Q53)",
  MRnumber =     "2391504 (2009f:37069)",
  MRreviewer =   "Yuri B. Suris",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@Article{Golovko:2008:ICH,
  author =       "V. Golovko and P. Kersten and I. Krasil{\cprime}shchik
                 and A. Verbovetsky",
  title =        "On integrability of the {Camassa--Holm} equation and
                 its invariants: a geometrical approach",
  journal =      j-ACTA-APPL-MATH,
  volume =       "101",
  number =       "1--3",
  pages =        "59--83",
  year =         "2008",
  CODEN =        "AAMADV",
  DOI =          "http://dx.doi.org/10.1007/s10440-008-9200-z",
  ISSN =         "0167-8019",
  ISSN-L =       "0167-8019",
  MRclass =      "37K05 (35A30 35Q53 37K10 58J70)",
  MRnumber =     "2383545 (2009a:37126)",
  MRreviewer =   "Marco Pedroni",
  bibdate =      "Tue Sep 23 07:35:12 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Applicandae Mathematicae. An International Survey
                 Journal on Applying Mathematics and Mathematical
                 Applications",
  journal-URL =  "http://link.springer.com/journal/10440",
  keywords =     "Maybe Reduce algebra system",
}

@Article{Hearn:2009:RFS,
  author =       "Anthony C. Hearn",
  title =        "{REDUCE} is free software as of {January 2009}",
  journal =      j-ACM-COMM-COMP-ALGEBRA,
  volume =       "43",
  number =       "1--2",
  pages =        "15--16",
  month =        mar # "/" # jun,
  year =         "2009",
  CODEN =        "????",
  DOI =          "http://doi.acm.org/10.1145/1610296.1610299",
  ISSN =         "1932-2232 (print), 1932-2240 (electronic)",
  ISSN-L =       "1932-2232",
  bibdate =      "Tue Sep 15 13:33:01 MDT 2009",
  bibsource =    "http://portal.acm.org/;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Communications in Computer Algebra",
}

@Article{Kersten:2010:IKD,
  author =       "P. H. M. Kersten and I. S. Krasil{\^a}shchik and A. M.
                 Verbovetsky and R. Vitolo",
  title =        "Integrability of {Kupershmidt} Deformations",
  journal =      j-ACTA-APPL-MATH,
  volume =       "109",
  number =       "1",
  pages =        "75--86",
  year =         "2010",
  CODEN =        "AAMADV",
  DOI =          "http://dx.doi.org/10.1007/s10440-009-9442-4",
  ISSN =         "0167-8019 (print), 1572-9036 (electronic)",
  ISSN-L =       "0167-8019",
  MRclass =      "35Q53; 37K05",
  bibdate =      "Tue Sep 23 07:41:44 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Acta Applicandae Mathematicae",
  journal-URL =  "http://link.springer.com/journal/10440",
  keywords =     "Conservation laws; Hamiltonian structures; Maybe
                 Reduce algebra system; Nonlinear differential
                 equations; Symmetries; Variational Schouten bracket",
}

@Article{Hermanto:2012:ETP,
  author =       "Arief Hermanto",
  title =        "The explanation of the twin paradox using
                 {Poincar{\'e}} transformation and computer algebra
                 system {REDUCE}",
  journal =      "AIP Conference Proceedings",
  volume =       "1454",
  number =       "1",
  pages =        "186--188",
  year =         "2012",
  DOI =          "http://dx.doi.org/10.1063/1.4730717",
  bibdate =      "Sat Sep 13 16:49:07 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4730717",
  acknowledgement = ack-nhfb,
}

@Article{Verbovetsky:2012:ISG,
  author =       "A. M. Verbovetsky and R. Vitolo and P. Kersten and I.
                 S. Krasil'shchik",
  title =        "Integrable structures for a generalized
                 {Monge--Amp{\`e}re} equation",
  journal =      j-TEORET-MATH-FIZ,
  volume =       "171",
  number =       "2",
  pages =        "208--224",
  year =         "2012",
  CODEN =        "TMFZAL",
  ISSN =         "0564-6162",
  bibdate =      "Tue Sep 23 07:32:36 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Teoreticheskaya i Matematicheskaya Fizika",
  keywords =     "Maybe Reduce algebra system",
}

@InProceedings{Kersten:2013:HSG,
  author =       "P. H. M. Kersten and I. S. Krasil{\cprime}shchik and
                 A. M. Verbovetsky and R. Vitolo",
  title =        "{Hamiltonian} structures for general {PDEs}",
  crossref =     "Kruglikov:2013:DEG",
  pages =        "187--198",
  year =         "2013",
  bibdate =      "Tue Sep 23 07:28:24 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://xxx.tau.ac.il/pdf/0812.4895",
  acknowledgement = ack-nhfb,
  keywords =     "Maybe Reduce algebra system",
}

@TechReport{Melenk:2014:RSM,
  author =       "Herbert Melenk",
  title =        "{REDUCE} Symbolic Mode Primer",
  type =         "Report",
  institution =  "Konrad-Zuse-Zentrum f{\"u}r Informationstechnik
                 Berlin",
  address =      "Takustrasse 7, 14195 Berlin-Dahlem, Germany",
  day =          "2",
  month =        may,
  year =         "2014",
  bibdate =      "Mon Sep 15 10:05:56 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  URL =          "http://reduce-algebra.sourceforge.net/doc/primer.html",
  acknowledgement = ack-nhfb,
}

@TechReport{Norman:2014:IR,
  author =       "Arthur C. Norman and Raffaele Vitolo",
  title =        "Inside {Reduce}",
  type =         "Report",
  pages =        "vi + 65",
  institution =  "????",
  address =      "????",
  month =        sep,
  year =         "2014",
  bibdate =      "Mon Sep 15 10:09:46 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  note =         "In-progress book manuscript kindly provided to the
                 bibliographer on 14 September 2014.",
  acknowledgement = ack-nhfb,
}

@Article{Parreiras:2014:URC,
  author =       "S{\'e}rgio O. Parreiras",
  title =        "Using {Reduce} to Compute {Nash} Equilibria: Classroom
                 Tools for Game Theory",
  journal =      j-MATHEMATICA-J,
  volume =       "16",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "2014",
  CODEN =        "????",
  DOI =          "http://dx.doi.org/10.3888/tmj.16-3",
  ISSN =         "1047-5974 (print), 1097-1610 (electronic)",
  bibdate =      "Wed Sep 10 10:37:47 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib;
                 http://www.math.utah.edu/pub/tex/bib/redextra.bib;
                 http://www.mathematica-journal.com/issue/v0i0/",
  note =         "See \cite{Kampas:2005:TUR}.",
  URL =          "http://www.mathematica-journal.com/2014/03/using-reduce-to-compute-nash-equilibria/",
  abstract =     "The Karush--Kuhn--Tucker equations (under suitable
                 conditions) provide necessary and sufficient conditions
                 for the solution of the problem of maximizing
                 (minimizing) a concave (convex) function. This article
                 corrects the program in \cite{Kampas:2005:TUR}, which
                 computes the solution of Karush--Kuhn--Tucker
                 equations. Our main goal, however, is to provide a
                 program to compute the set of all Nash equilibria of a
                 bimatrix game. The program works well for ``small''
                 games (i.e. $ 4 \times 4 $ or smaller games); thus, in
                 particular, it is suitable for constructing classroom
                 examples and as an additional tool to empower students
                 in classes using game theory. \ldots{}",
  acknowledgement = ack-nhfb,
}

@InProceedings{Petrov:2014:CPS,
  author =       "A. B. Petrov and R. Z. Bachtizin and S. S. Ghots",
  booktitle =    "{2014 International Conference on Computer
                 Technologies in Physical and Engineering Applications
                 (ICCTPEA)}",
  title =        "Calculation of phonon spectra for one-dimensional
                 chains using computer algebra system {Reduce}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "137--138",
  month =        jun,
  year =         "2014",
  DOI =          "http://dx.doi.org/10.1109/ICCTPEA.2014.6893323",
  ISBN =         "1-4799-5315-6",
  ISBN-13 =      "978-1-4799-5315-8",
  bibdate =      "Sat Sep 13 17:04:29 2014",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/redextra.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Algebra; Atomic measurements; Computers; Dispersion;
                 Educational institutions; Phonons; Programming",
}

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

@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",
}