<?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>heft -- heft vector of ring, module, graded module, or resolution</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_heft_spvectors.html">next</a> | <a href="___Heft.html">previous</a> | <a href="_heft_spvectors.html">forward</a> | <a href="___Heft.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>heft -- heft vector of ring, module, graded module, or resolution</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>heft X</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>X</tt>, <span>a <a href="___Ring.html">ring</a></span>, <span>a <a href="___Module.html">module</a></span>, <span>a <a href="___Graded__Module.html">graded module</a></span>, or <span>a <a href="___Resolution.html">resolution</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___List.html">list</a></span>, the heft vector in use for <tt>X</tt>, if <tt>X</tt> is a ring, or for the ring of <tt>X</tt>, if <tt>X</tt> is a module. If there is no heft vector, then <a href="_null.html" title="the unique member of the empty class">null</a> is returned.</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : S = QQ[a..d,DegreeRank => 4];</pre> </td></tr> <tr><td><pre>i2 : degrees S o2 = {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}} o2 : List</pre> </td></tr> <tr><td><pre>i3 : heft S o3 = {1, 1, 1, 1} o3 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_heft_spvectors.html" title="">heft vectors</a></span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>heft</tt> :</h2> <ul><li>heft(GradedModule)</li> <li>heft(Module)</li> <li>heft(Resolution)</li> <li>heft(Ring)</li> </ul> </div> </div> </body> </html>