<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>InvolutiveBases : Table of Contents</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body><div><a href="index.html">top</a> | <a href="master.html">index</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> <hr/> <h1>InvolutiveBases : Table of Contents</h1> <ul><li><span><span><a href="index.html" title="Methods for Janet bases and Pommaret bases in Macaulay 2">InvolutiveBases</a> -- Methods for Janet bases and Pommaret bases in Macaulay 2</span></span></li> <li><span><span><a href="_basis__Elements.html" title="extract the matrix of generators from an involutive basis or factor module basis">basisElements</a> -- extract the matrix of generators from an involutive basis or factor module basis</span></span></li> <li><span><span><a href="___Factor__Module__Basis.html" title="the class of all factor module bases">FactorModuleBasis</a> -- the class of all factor module bases</span></span></li> <li><span><span><a href="_factor__Module__Basis.html" title="enumerate standard monomials">factorModuleBasis</a> -- enumerate standard monomials</span></span></li> <li><span><span><a href="_inv__Noether__Normalization.html" title="Noether normalization">invNoetherNormalization</a> -- Noether normalization</span></span></li> <li><span><span><a href="___Involutive.html" title="compute a (usually non-minimal) resolution using involutive bases">Involutive</a> -- compute a (usually non-minimal) resolution using involutive bases</span></span></li> <li><span><span><a href="___Involutive__Basis.html" title="the class of all involutive bases">InvolutiveBasis</a> -- the class of all involutive bases</span></span></li> <li><span><span><a href="_inv__Reduce.html" title="compute normal form modulo involutive basis by involutive reduction">invReduce</a> -- compute normal form modulo involutive basis by involutive reduction</span></span></li> <li><span><span><a href="_inv__Syzygies.html" title="compute involutive basis of syzygies">invSyzygies</a> -- compute involutive basis of syzygies</span></span></li> <li><span><span><a href="_is__Pommaret__Basis.html" title="check whether or not a given Janet basis is also a Pommaret basis">isPommaretBasis</a> -- check whether or not a given Janet basis is also a Pommaret basis</span></span></li> <li><span><span><a href="_janet__Basis.html" title="compute Janet basis for an ideal or a submodule of a free module">janetBasis</a> -- compute Janet basis for an ideal or a submodule of a free module</span></span></li> <li><span><span><a href="_janet__Mult__Var.html" title="return table of multiplicative variables for given module elements as determined by Janet division">janetMultVar</a> -- return table of multiplicative variables for given module elements as determined by Janet division</span></span></li> <li><span><span><a href="_janet__Resolution.html" title="construct a free resolution for a given ideal or module using Janet bases">janetResolution</a> -- construct a free resolution for a given ideal or module using Janet bases</span></span></li> <li><span><span><a href="_mult__Var.html" title="extract the sets of multiplicative variables for each generator (in several contexts)">multVar</a> -- extract the sets of multiplicative variables for each generator (in several contexts)</span></span></li> <li><span><span><a href="_mult__Vars.html" title="key in the cache table of a differential in a Janet resolution">multVars</a> -- key in the cache table of a differential in a Janet resolution</span></span></li> <li><span><span><a href="___Permute__Variables.html" title="ensure that the last dim(I) var's are algebraically independent modulo I">PermuteVariables</a> -- ensure that the last dim(I) var's are algebraically independent modulo I</span></span></li> <li><span><span><a href="_pommaret__Mult__Var.html" title="return table of multiplicative variables for given module elements as determined by Pommaret division">pommaretMultVar</a> -- return table of multiplicative variables for given module elements as determined by Pommaret division</span></span></li> </ul> </body> </html>
