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Title Downloads

Integration over Polytopes
Author

Brett van de Sande
Organization: Ohio State University
Department: Department of Physics
Old MathSource #

0201-979
Revision date

1992-03-01
Description

This package contains several generally useful extensions to Mathematica. It centers around ipoly[f,x,a,b], which integrates over arbitrary polytopes, and routines that manipulate expressions involving ipoly. It also includes a summation function sum (which is like Sum) and routines used in manipulating expressions containing sum. Both ipoly and sum handle delta-functions properly. Routines are included for manipulating expressions including implicit matrices and non-commuting symbols. There are important expansions to the built-in functions: Conjugate, various inequalities, Sign, ReplaceAll, and ReplaceRepeated.
Subjects

*Mathematica Technology > Programming
*Mathematics > Calculus and Analysis
Keywords

Integration, Polytope, General Utilities, Applied Mathematics, Programming, polytopes, summation, inequalities, Big, CnumberQ, Dotexpand, LinearQ, NormalOrder, ScalarQ, TestValue, checkpoly, coefficients, convert, delta, ipoly, ipolyexpand, ipolyfactor, rotate, showpoly, sum, sumexpand, sumfactor, timesexpand, trace, transform, translate
Downloads Download Wolfram CDF Player

Download
AboutFunctions.txt (7.8 KB) - plain-text file
Download
AboutFunctions.nb (27.5 KB) - Mathematica notebook
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Functions.m (32.6 KB) - Mathematica package
Download
Functions.nb (53.3 KB) - Mathematica notebook

Files specific to Mathematica 2.2 version:
Download
AboutFunctions.ma (17.6 KB) - Mathematica notebook
Download
Functions.m (31.4 KB) - Mathematica package
Download
Functions.ma (39.9 KB) - Mathematica notebook