<?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>hilbertFunct(..., MaxDegree => ...) -- bound degree through which Hilbert function is computed</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="_is__C__M.html">next</a> | <a href="_hilbert__Funct.html">previous</a> | <a href="_is__C__M.html">forward</a> | <a href="_hilbert__Funct.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>hilbertFunct(..., MaxDegree => ...) -- bound degree through which Hilbert function is computed</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>li = hilbertFunct(I,MaxDegree=>d)</tt></div>
</dd></dl>
</div>
</li>
<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, a homogeneous ideal</span></li>
<li><span><tt>d</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, the highest degree in which the Hilbert function should be computed</span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><tt>li</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, the values of the Hilbert function through degree <tt>d</tt></span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><div>If <tt>I</tt> is Artinian, the default is to return all values of the Hilbert function until it becomes zero. If not, the default maximum degree is 20. This option allows one to specify any maximum degree.</div>
</div>
</div>
<h2>Further information</h2>
<ul><li><span>Default value: <a href="../../Macaulay2Doc/html/_null.html" title="the unique member of the empty class">null</a></span></li>
<li><span>Function: <span><a href="_hilbert__Funct.html" title="return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list">hilbertFunct</a> -- return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list</span></span></li>
<li><span>Option name: <span><a href="___Max__Degree.html" title="optional argument for hilbertFunct">MaxDegree</a> -- optional argument for hilbertFunct</span></span></li>
</ul>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="_hilbert__Funct.html" title="return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list">hilbertFunct</a> -- return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list</span></li>
</ul>
</div>
</div>
</body>
</html>
