<?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>Elimination -- eliminating specified variables, and Sylvester resultant</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_discriminant_lp__Ring__Element_cm__Ring__Element_rp.html">next</a> | previous | <a href="_discriminant_lp__Ring__Element_cm__Ring__Element_rp.html">forward</a> | backward | up | top | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>Elimination -- eliminating specified variables, and Sylvester resultant</h1> <div class="single"><h2>Description</h2> <div>This package contains functions to eliminate variables from an ideal (that is, intersect an ideal with a subring generated by certain of the variables), and to compute Sylvester resultants.<p>It would be nice to implement multivariate resultants, Bezoutians, and sparse resultants. Laurent Buse has written code for this in the past. We hope to provide a package, Resultants, which will do this. If you are willing to help write this, please contact the author if this package!</p> </div> </div> <div class="single"><h2>Author</h2> <ul><li><div class="single">Michael E. Stillman<span> <<a href="mailto:mike@math.cornell.edu">mike@math.cornell.edu</a>></span></div> </li> </ul> </div> <div class="single"><h2>Version</h2> This documentation describes version <b>1.0</b> of Elimination.</div> <div class="single"><h2>Source code</h2> The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/Elimination.m2">Elimination.m2</a>.</div> <div class="single"><h2>Exports</h2> <ul><li><div class="single">Functions<ul><li><span>discriminant, see <span><a href="_discriminant_lp__Ring__Element_cm__Ring__Element_rp.html" title="">discriminant(RingElement,RingElement)</a></span></span></li> <li><span><a href="_eliminate.html" title="">eliminate</a></span></li> <li><span>resultant, see <span><a href="_resultant_lp__Ring__Element_cm__Ring__Element_cm__Ring__Element_rp.html" title="">resultant(RingElement,RingElement,RingElement)</a></span></span></li> <li><span>sylvesterMatrix, see <span><a href="_sylvester__Matrix_lp__Ring__Element_cm__Ring__Element_cm__Ring__Element_rp.html" title="">sylvesterMatrix(RingElement,RingElement,RingElement)</a></span></span></li> </ul> </div> </li> </ul> </div> </div> </body> </html>