<?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>FourTiTwo : 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>FourTiTwo : Table of Contents</h1> <ul><li><span><span><a href="index.html" title="Interface for 4ti2">FourTiTwo</a> -- Interface for 4ti2</span></span></li> <li><span><span><a href="_get__Matrix.html" title="reads a matrix from a 4ti2-formatted input file">getMatrix</a> -- reads a matrix from a 4ti2-formatted input file</span></span></li> <li><span><span><a href="_hilbert__Basis.html" title="calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2">hilbertBasis</a> -- calculates the Hilbert basis of the cone; invokes "hilbert" from 4ti2</span></span></li> <li><span><span><a href="___Input__Type.html" title="">InputType</a></span></span></li> <li><span><span><a href="_put__Matrix.html" title="writes a matrix into a file formatted for 4ti2">putMatrix</a> -- writes a matrix into a file formatted for 4ti2</span></span></li> <li><span><span><a href="_rays.html" title="calculates the extreme rays of the cone; invokes "rays" from 4ti2">rays</a> -- calculates the extreme rays of the cone; invokes "rays" from 4ti2</span></span></li> <li><span><span><a href="_to__Binomial.html" title="creates a toric ideal from a given set of exponents of its generators; equivalent to "4ti2-output --binomials" in 4ti2">toBinomial</a> -- creates a toric ideal from a given set of exponents of its generators; equivalent to "4ti2-output --binomials" in 4ti2</span></span></li> <li><span><span><a href="_toric__Circuits.html" title="calculates the circuits of the toric ideal; invokes "circuits" from 4ti2">toricCircuits</a> -- calculates the circuits of the toric ideal; invokes "circuits" from 4ti2</span></span></li> <li><span><span><a href="_toric__Graver.html" title="calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2">toricGraver</a> -- calculates the Graver basis of the toric ideal; invokes "graver" from 4ti2</span></span></li> <li><span><span><a href="_toric__Graver__Degrees.html" title="displays the degrees of all Graver basis elements for the toric ideal I_A; equivalent to "4ti2-output --degrees foo.gra" in 4ti2">toricGraverDegrees</a> -- displays the degrees of all Graver basis elements for the toric ideal I_A; equivalent to "4ti2-output --degrees foo.gra" in 4ti2</span></span></li> <li><span><span><a href="_toric__Groebner.html" title="calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2">toricGroebner</a> -- calculates a Groebner basis of the toric ideal I_A, given A; invokes "groebner" from 4ti2</span></span></li> <li><span><span><a href="_toric__Markov.html" title="calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2">toricMarkov</a> -- calculates a generating set of the toric ideal I_A, given A; invokes "markov" from 4ti2</span></span></li> </ul> </body> </html>
