Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 5432

Macaulay2-1.3.1-8.fc15.i686.rpm

<?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>getNumInvs -- returns the numerical invariants computed</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
  <tr>
    <td><div><a href="_intcl__Mon__Ideal.html">next</a> | <a href="_get__Nmz__Version.html">previous</a> | <a href="_intcl__Mon__Ideal.html">forward</a> | <a href="_get__Nmz__Version.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>getNumInvs -- returns the numerical invariants 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>getNumInvs()</tt></div>
</dd></dl>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, the numerical invariants</span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div>This function returns a list whose length depends on the invariants available. The order of the elements in the list is always the same. Each list element has two parts. The first is a <a href="../../Macaulay2Doc/html/___String.html" title="the class of all strings">String</a> describing the invariant, the second is the invariant, namely an <a href="../../Macaulay2Doc/html/___Z__Z.html" title="the class of all integers">ZZ</a> for rank, index, multiplicity, a <a href="../../Macaulay2Doc/html/___Sequence.html" title="the class of all sequences -- (...)">Sequence</a> for the weights, the h-vector and the Hilbert polynomial and a <a href="../../Macaulay2Doc/html/___Boolean.html" title="the class of Boolean values">Boolean</a> for homogeneous and primary.<table class="examples"><tr><td><pre>i1 : R=ZZ/37[x,y,t];</pre>
</td></tr>
<tr><td><pre>i2 : I=ideal(x^3,x^2*y,y^3);

o2 : Ideal of R</pre>
</td></tr>
<tr><td><pre>i3 : setNmzOption("hilb",true);</pre>
</td></tr>
<tr><td><pre>i4 : intclMonIdeal(I);</pre>
</td></tr>
<tr><td><pre>i5 : getNumInvs()

o5 = {{hilbert basis elements, 6}, {number extreme rays, 4}, {rank, 3},
     ------------------------------------------------------------------------
     {index, 1}, {number support hyperplanes, 4}, {homogeneous, true},
     ------------------------------------------------------------------------
     {height 1 elements, 6}, {homogeneous weights, (1, 1, -2)},
     ------------------------------------------------------------------------
     {multiplicity, 4}, {h-vector, (1, 3, 0)}, {hilbert polynomial, (2, 6,
     ------------------------------------------------------------------------
     4)}, {primary, true}, {ideal multiplicity, 9}}

o5 : List</pre>
</td></tr>
</table>
Note: This function is available even if no filename has been specified.</div>
</div>
<div class="single"><h2>See also</h2>
<ul><li><span><a href="_show__Num__Invs.html" title="prints the numerical invariants computed">showNumInvs</a> -- prints the numerical invariants computed</span></li>
<li><span><a href="_export__Num__Invs.html" title="makes the numerical invariants availabe to Macaulay 2">exportNumInvs</a> -- makes the numerical invariants availabe to Macaulay 2</span></li>
</ul>
</div>
</div>
</body>
</html>