REDUCE

20 User Contributed Packages

The complete REDUCE system includes a number of packages contributed by users that are provided as a service to the user community. Questions regarding these packages should be directed to their individual authors.

All such packages have been precompiled as part of the installation process. However, many must be specifically loaded before they can be used. (Those that are loaded automatically are so noted in their description.) You should also consult the user notes for your particular implementation for further information on whether this is necessary. If it is, the relevant command is load_package, which takes a list of one or more package names as argument, for example:

        load_package algint;

although this syntax may vary from implementation to implementation.

Nearly all these packages come with separate documentation and test files (except those noted here that have no additional documentation), which is included, along with the source of the package, in the REDUCE system distribution. These items should be studied for any additional details on the use of a particular package.

The packages available in the current release of REDUCE are as follows:

 20.1 APPLYSYM: Infinitesimal Symmetries of Differential Equations
 20.2 ASSIST: Useful Utilities for Various Applications
 20.3 ATENSOR: A REDUCE Program for Tensor Simplification
 20.4 AVECTOR: A Vector Algebra and Calculus Package
 20.5 BIBASIS: A Package for Calculating Boolean Involutive Bases
 20.6 BOOLEAN: A Package for Boolean Algebra
 20.7 CALI: A Package for Computational Commutative Algebra
 20.8 CAMAL: Calculations in Celestial Mechanics
 20.9 CANTENS: A Package for Manipulations and Simplifications of Indexed Objects
 20.10 CDE: A Package for Integrability of PDEs
 20.11 CDIFF: A Package for Computations in Geometry of Differential Equations
 20.12 CGB: Computing Comprehensive Gröbner Bases
 20.13 COEFF2: A Variant of the coeff Operator
 20.14 CRACK: Solving Overdetermined Systems of PDEs or ODEs
 20.15 DESIR: Differential Linear Homogeneous Equation Solutions in the Neighborhood of Irregular and Regular Singular Points
 20.16 DFPART: Derivatives of Generic Functions
 20.17 DUMMY: Canonical Form of Expressions
with Dummy Variables

 20.18 EDS: A Package for Exterior Differential Systems
 20.19 ELLIPFN: A Package for Elliptic Functions and Integrals
 20.20 EXCALC: A Differential Geometry Package
 20.21 FIDE: Finite Difference Method for Partial Differential Equations
 20.22 GCREF: A Graph Cross Referencer
 20.23 GENTRAN: A Code Generation Package
 20.24 GRINDER: Calculation of three-loop diagrams in Heavy Quark Effective Theory
 20.25 GROEBNER: A Gröbner Basis Package
 20.26 GUARDIAN: Guarded Expressions in Practice
 20.27 IDEALS: Arithmetic for Polynomial Ideals
 20.28 INVBASE: A Package for Computing Involutive Bases
 20.29 LALR: A Parser Generator
 20.30 LAPLACE: Laplace Transforms
 20.31 LIE: Functions for the Classification of Real \(n\)-Dimensional Lie Algebras
 20.32 LINALG: Linear Algebra Package
 20.33 LISTVECOPS: Vector Operations on Lists
 20.34 LPDO: Linear Partial Differential Operators
 20.35 MRVLIMIT: A New Exp-Log Limits Package
 20.36 NCPOLY: Non-commutative Polynomial Ideals
 20.37 NORMFORM: Computation of
Matrix Normal Forms

 20.38 ODESOLVE: Ordinary Differential Equation Solver
 20.39 ORTHOVEC: Manipulation of Scalars and Vectors
 20.40 PHYSOP: Operator Calculus in Quantum Theory
 20.41 PM: A REDUCE Pattern Matcher
 20.42 QHULL: Compute the Complex Hull
 20.43 QSUM: Indefinite and Definite Summation of q-Hypergeometric Terms
 20.44 RANDPOLY: A Random Polynomial Generator
 20.45 RATAPRX: Rational Approximations Package for REDUCE
 20.46 RATINT: Integrate Rational Functions using the Minimal Algebraic Extension to the Constant Field
 20.47 REACTEQN: Support for Chemical Reaction Equation Systems
 20.48 REDLOG: Extend REDUCE to a Computer Logic System
 20.49 RLFI: REDUCE LaTeX Formula Interface
 20.50 SCOPE: REDUCE Source Code Optimization Package
 20.51 SETS: A Basic Set Theory Package
 20.52 SPARSE: Sparse Matrix Calculations
 20.53 SPDE: Finding Symmetry Groups of PDEs
 20.54 SPECFN: Package for Special Functions
 20.55 SPECFN2: Package for Special Special Functions
 20.56 SSTOOLS: Computations with Supersymmetric Algebraic and Differential Expressions
 20.57 SUM: A Package for Series Summation
 20.58 SYMMETRY: Operations on Symmetric Matrices
 20.59 TRI: TeX REDUCE Interface
 20.60 TRIGD: Trigonometrical Functions with Degree Arguments
 20.61 TRIGINT: Weierstraß Substitution in REDUCE
 20.62 WU: Wu Algorithm for Polynomial Systems
 20.63 XCOLOR: Color Factor in some Field Theories
 20.64 XIDEAL: Gröbner Bases for Exterior Algebra
 20.65 ZEILBERG: Indefinite and Definite Summation
 20.66 ZTRANS: Z-Transform Package

Hosted by Download REDUCE Powered by MathJax