<?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>meet -- meet operation in intersection lattice</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_mult__Ideal.html">next</a> | <a href="_matrix_lp__Arrangement_rp.html">previous</a> | <a href="_mult__Ideal.html">forward</a> | <a href="_matrix_lp__Arrangement_rp.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>meet -- meet operation in 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>meet(F,G)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>an <a href="___Flat.html">intersection of hyperplane(s)</a></span>, a flat</span></li> <li><span><tt>G</tt>, <span>an <a href="___Flat.html">intersection of hyperplane(s)</a></span>, another flat from the same arrangement</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>H</tt>, <span>an <a href="___Flat.html">intersection of hyperplane(s)</a></span>, the flat of greatest codimension that is contained in both <tt>F</tt> and <tt>G</tt>. If one identifies flats with subspaces, this is the Minkowski sum of subspaces <tt>F</tt> and <tt>G</tt>.</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>The operator <a href="___Flat_sp^_sp__Flat.html" title="meet operation in intersection lattice">Flat ^ Flat</a> can be used as a synonym.</div> </div> <div class="waystouse"><h2>Ways to use <tt>meet</tt> :</h2> <ul><li>meet(Flat,Flat)</li> </ul> </div> </div> </body> </html>