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Integration over Polytopes
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Organization: | Ohio State University |
Department: | Department of Physics |
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0201-979
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1992-03-01
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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.
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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
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| AboutFunctions.txt (7.8 KB) - plain-text file | | AboutFunctions.nb (27.5 KB) - Mathematica notebook | | Functions.m (32.6 KB) - Mathematica package | | Functions.nb (53.3 KB) - Mathematica notebook | Files specific to Mathematica 2.2 version:
| | AboutFunctions.ma (17.6 KB) - Mathematica notebook | | Functions.m (31.4 KB) - Mathematica package | | Functions.ma (39.9 KB) - Mathematica notebook |
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