<?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>partitions(ZZ) -- list the partitions of an integer</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_partitions_lp__Z__Z_cm__Z__Z_rp.html">next</a> | <a href="_partitions.html">previous</a> | <a href="_partitions_lp__Z__Z_cm__Z__Z_rp.html">forward</a> | <a href="_partitions.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>partitions(ZZ) -- list the partitions of an integer</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>partitions n</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_partitions.html" title="list the partitions of an integer">partitions</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___List.html">list</a></span>, a list of the partitions of the integer <tt>n</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>Each partition is a basic list of type <a href="___Partition.html" title="a type of list representing a partition of a natural number">Partition</a>.</p> <table class="examples"><tr><td><pre>i1 : partitions 4 o1 = {Partition{4}, Partition{3, 1}, Partition{2, 2}, Partition{2, 1, 1}, ------------------------------------------------------------------------ Partition{1, 1, 1, 1}} o1 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Partition.html" title="a type of list representing a partition of a natural number">Partition</a> -- a type of list representing a partition of a natural number</span></li> <li><span><a href="_partitions_lp__Z__Z_cm__Z__Z_rp.html" title="list the partitions of an integer">partitions(ZZ,ZZ)</a> -- list the partitions of an integer</span></li> </ul> </div> </div> </body> </html>