<?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>leadTerm -- get the greatest term</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="_lead__Term_lp__Ideal_rp.html">next</a> | <a href="_lead__Monomial.html">previous</a> | <a href="_lead__Term_lp__Ideal_rp.html">forward</a> | <a href="_lead__Monomial.html">backward</a> | up | <a href="index.html">top</a> | <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>leadTerm -- get the greatest term</h1>
<div class="single"><h2>Description</h2>
<div>Every polynomial ring in Macaulay2 comes equipped with a monomial ordering. For ring elements and matrices, this function returns the greatest term in this order.<p/>
For an ideal, a Gröbner basis is first computed, and the ideal of lead terms is returned.<p/>
If an initial integer <tt>n</tt> is specified, then the returned value contains the sum of all of the terms with the greatest value on the first <tt>n</tt> parts of the monomial order.</div>
</div>
<div class="waystouse"><h2>Ways to use <tt>leadTerm</tt> :</h2>
<ul><li><span><a href="_lead__Term_lp__Ideal_rp.html" title="get the ideal of greatest terms">leadTerm(Ideal)</a> -- get the ideal of greatest terms</span></li>
<li><span>leadTerm(GroebnerBasis), see <span><a href="_lead__Term_lp__Matrix_rp.html" title="get the greatest term of each column">leadTerm(Matrix)</a> -- get the greatest term of each column</span></span></li>
<li><span><a href="_lead__Term_lp__Matrix_rp.html" title="get the greatest term of each column">leadTerm(Matrix)</a> -- get the greatest term of each column</span></li>
<li><span>leadTerm(Vector), see <span><a href="_lead__Term_lp__Matrix_rp.html" title="get the greatest term of each column">leadTerm(Matrix)</a> -- get the greatest term of each column</span></span></li>
<li><span><a href="_lead__Term_lp__Ring__Element_rp.html" title="get the greatest term">leadTerm(RingElement)</a> -- get the greatest term</span></li>
<li><span><a href="_lead__Term_lp__Z__Z_cm__Ideal_rp.html" title="get the ideal of lead polynomials">leadTerm(ZZ,Ideal)</a> -- get the ideal of lead polynomials</span></li>
<li><span><a href="_lead__Term_lp__Z__Z_cm__Matrix_rp.html" title="get the matrix of lead polynomials of each column">leadTerm(ZZ,Matrix)</a> -- get the matrix of lead polynomials of each column</span></li>
<li><span><a href="_lead__Term_lp__Z__Z_cm__Ring__Element_rp.html" title="get the lead polynomials using part of the monomial order">leadTerm(ZZ,RingElement)</a> -- get the lead polynomials using part of the monomial order</span></li>
</ul>
</div>
</div>
</body>
</html>
