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Chapter 1.
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Chapter 2.
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Chapter 3.
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Chapter 4.
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Chapter 5.
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Chapter 6.
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Chapter 7.
[79

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[94] [95] [96] [97] [98] [99]
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Chapter 8.
[111] [112] [113] [114] [115] [116] [117] [118] [119] [120] [121] [122]
[123] [124] [125] [126] [127] [128] [129] [130] [131] [132

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Chapter 9.
[133] [134] [135] [136] [137] [138] [139] [140] [141] [142] [143] [144]
[145] [146] [147] [148] [149] [150]
Chapter 10.
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Chapter 11.
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Chapter 12.
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Chapter 13.
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Chapter 14.
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Chapter 15.
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Chapter 16.
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Chapter 17.
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Chapter 18.
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Chapter 19.
[225

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Chapter 20.
{ALGINT: Integration of square roots}
[231] [232] [233] [234

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Chapter 21.
[APPLYSYM: Infinitesimal symmetries]
[235] [236] [237] [238

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Chapter 22.
{ARNUM: An algebraic number package}
[239] [240] [241] [242

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Chapter 23.
{ASSIST: Various Useful Utilities}
[243] [244] [245] [246] [247] [248] [249] [250] [251] [252] [253] [254]
[255] [256] [257] [258] [259] [260] [261] [262] [263] [264

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Chapter 24.
{ATENSOR: Package for Tensor Simplification}
[265] [266] [267] [268

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Chapter 25.
{AVECTOR: Vector Algebra}
[269] [270] [271] [272] [273] [274] [275] [276]
Chapter 26.
{BOOLEAN: A package for boolean algebra}
[277

] [278] [279] [280] [281] [282

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Chapter 27.
{CALI: Computational Commutative Algebra}
[283] [284]
Chapter 28.
{CAMAL: Calculations in Celestial Mechanics}
[285

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Chapter 29.
{CGB: Comprehensive Gr\"obner Bases}
[289]

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Chapter 30.
[CHANGEVR: Change of Variables in DEs]
[295

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Chapter 31.
{COMPACT: Package for compacting expressions}
[297

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Chapter 32.
[CRACK: Overdetermined systems of DEs]
[299

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Chapter 33.
[CVIT:Dirac gamma matrix traces]
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Chapter 34.
{DEFINT: Definite Integration for REDUCE}
[305

] [306] [307] [308]
Chapter 35.
[DESIR: Linear Homogeneous DEs]
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Chapter 36.
{DFPART: Derivatives of generic functions}
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Chapter 37.
[DUMMY: Expressions with dummy variables]
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Chapter 38.
{EDS: Exterior differential systems}
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Chapter 39.
{EXCALC: A differential geometry package}
[333] [334] [335] [336] [337] [338] [339] [340] [341] [342] [343] [344

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Chapter 40.
[FIDE: Finite differences for PDEs]
[345] [346] [347] [348]
Chapter 41.
[FPS: Formal power series]
[349

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Chapter 42.
{GENTRAN: A code generation package}
[351

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Chapter 43.
{GEOMETRY: Mechanized (Plane) Geometry Manipulations}
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Chapter 44.
{GNUPLOT: Display of functions and surfaces}
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Chapter 45.
{GROEBNER: A Gr\"obner basis package}
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Chapter 46.
{IDEALS: Arithmetic for polynomial ideals}
[385

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Chapter 47.
{INEQ: Support for solving inequalities}
[387

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Chapter 48.
{INVBASE: A package for computing involutive bases}
[389

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Chapter 49.
{LAPLACE: Laplace and inverse Laplace transforms}
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Chapter 50.
{LIE: Functions for the classification of real n-dimensional Lie algebras}
[397] [398]
Chapter 51.
{LIMITS: A package for finding limits}
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Chapter 52.
{LINALG: Linear algebra package}
[403] [404] [405] [406] [407] [408] [409] [410] [411] [412] [413] [414

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Chapter 53.
{MATHML : MathML Interface for REDUCE}
[415] [416] [417] [418

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Chapter 54.
{MODSR: Modular solve and roots}
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Chapter 55.
{MRVLIMIT: Package for Computing Limits of "Exp-Log" Functions}
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Chapter 56.
{NCPOLY: Non--commutative polynomial ideals}
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Chapter 57.
{NORMFORM: Computation of matrix normal forms}
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Chapter 58.
{NUMERIC: Solving numerical problems}
[437] [438] [439] [440] [441] [442] [443] [444] [445] [446] [447] [448

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Chapter 59.
[ODESOLVE: Ordinary differential equations solver]
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Chapter 60.
{ORTHOVEC: Three-dimensional vector analysis}
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Chapter 61.
{PHYSOP: Operator calculus in quantum theory}

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Chapter 62.
{PM: A REDUCE pattern matcher}
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This is not true
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Chapter 63.

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{QSUM : Package for summation of $q$-hypergeometric terms}
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Chapter 64.
{RANDPOLY: A random polynomial generator}
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Chapter 65.
{RATAPRX : Rational Approximations Package}
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Chapter 66.
{REACTEQN: Support for chemical reaction equations}
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Chapter 67.
{REDLOG: Logic System}

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Chapter 68.
{RESET: Code to reset REDUCE to its initial state}
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Chapter 69.
{RESIDUE: A residue package}
[507] [508]
Chapter 70.
{RLFI: REDUCE LaTeX formula interface}
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Chapter 71.
{ROOTS: A REDUCE root finding package}
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Chapter 72.
[RSOLVE: Rational polynomial solver]
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Chapter 73.
{SCOPE: REDUCE source code optimisation package}
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Chapter 74.
{SETS: A basic set theory package}
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Chapter 75.
{SPARSE: Sparse Matrices}
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Chapter 76.
{SPDE: A package for finding symmetry groups of {PDE}'s}
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Chapter 77.
{SPECFN: Package for special functions}
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Chapter 78.
{SPECFN2: Package for special special functions}
[545

] [546]
Chapter 79.
{SUM: A package for series summation}
[547

] [548] [549] [550

]
Chapter 80.
{SUSY2: Super Symmetry}

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[551] [552] [553] [554] [555] [556

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Chapter 81.
{SYMMETRY: Operations on symmetric matrices}
[557] [558] [559] [560

]
Chapter 82.
{TAYLOR: Manipulation of Taylor series}
[561] [562] [563] [564] [565] [566

]
Chapter 83.
{TPS: A truncated power series package}
[567] [568] [569] [570] [571] [572] [573] [574] [575] [576

]
Chapter 84.
{TRI: TeX REDUCE interface}
[577] [578] [579] [580] [581] [582

]
Chapter 85.
{TRIGSIMP: Simplification and factorisation of trigonometric and hyperbolic fun
ctions}
[583] [584] [585] [586]
Chapter 86.
{WU: Wu algorithm for polynomial systems}
[587

] [588]
Chapter 87.
{XCOLOR: Calculation of the color factor in non-abelian gauge field theories}
[589

] [590] [591] [592

]
Chapter 88.
{XIDEAL: Gr\"obner Bases for exterior algebra}
[593] [594] [595] [596] [597] [598

]
Chapter 89.
{ZEILBERG: A package for indefinite and definite summation}
[599] [600] [601] [602] [603] [604] [605] [606

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Chapter 90.
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{ZTRANS: $Z$-transform package}
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Chapter 91.
{The Standard Lisp Report}
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[613

] [614] [615] [616] [617] [618] [619] [620] [621] [622] [623] [624]
[625] [626] [627] [628] [629] [630] [631] [632] [633] [634] [635] [636]
[637] [638] [639] [640] [641] [642] [643] [644] [645] [646] [647] [648]
[649] [650] [651]
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[]\OT1/cmtt/m/n/10.95 Spread the actual parameters in ARGS
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\OT1/cmtt/m/n/10.95 following the conventions: for calling
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\OT1/cmtt/m/n/10.95 functions, transfer to the entry point
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\OT1/cmtt/m/n/10.95 of the function, and return the value
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[]\OT1/cmtt/m/n/10.95 Bind the actual parameters in ARGS to
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\OT1/cmtt/m/n/10.95 the formal parameters of the lambda
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[652]
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Appendix A.
[669

] [670] (r37.bbl [671

] [672]) (r37.ind [673] [674

] [675] [676] [677]
[678] [679] [680] [681] [682] [683] [684] [685] [686] [687] [688] [689]
[690] [691] [692] [693] [694] [695] [696] [697] [698

]) (r37.aux)

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