<?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>closure -- closure operation in the intersection lattice</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_coefficients_lp__Arrangement_rp.html">next</a> | <a href="_circuits.html">previous</a> | <a href="_coefficients_lp__Arrangement_rp.html">forward</a> | <a href="_circuits.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>closure -- closure operation in the intersection lattice</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>closure(A,L)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>A</tt>, <span>a <a href="___Arrangement.html">hyperplane arrangement</a></span>, ambient arrangement</span></li> <li><span><tt>L</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, list of hyperplanes</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>F</tt>, <span>an <a href="___Flat.html">intersection of hyperplane(s)</a></span>, the flat of least codimension containing hyperplanes <tt>L</tt></span></li> </ul> </div> </li> </ul> </div> <div><!--empty documentation body--></div> <div class="waystouse"><h2>Ways to use <tt>closure</tt> :</h2> <ul><li>closure(Arrangement,List)</li> <li><span><tt>closure(Arrangement,Arrangement)</tt> (missing documentation<!-- tag: (closure,Arrangement,Arrangement) -->)</span></li> <li><span><tt>closure(Arrangement,Ideal)</tt> (missing documentation<!-- tag: (closure,Arrangement,Ideal) -->)</span></li> </ul> </div> </div> </body> </html>