<?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>Face == Face -- Compare two faces.</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_face__To__Monomial.html">next</a> | <a href="_face.html">previous</a> | <a href="_face__To__Monomial.html">forward</a> | <a href="_face.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>Face == Face -- Compare two faces.</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>F==G</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="../../Macaulay2Doc/html/__eq_eq.html" title="equality">==</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="___Face.html">face</a></span></span></li> <li><span><tt>G</tt>, <span>a <a href="___Face.html">face</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Boolean.html">Boolean value</a></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>Checks whether F and G are equal.</p> <div/> <table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_4];</pre> </td></tr> <tr><td><pre>i2 : face {x_0,x_1} == face {x_1,x_0} o2 = true</pre> </td></tr> <tr><td><pre>i3 : addCokerGrading R; 5 4 o3 : Matrix ZZ <--- ZZ</pre> </td></tr> <tr><td><pre>i4 : C=simplex R;</pre> </td></tr> <tr><td><pre>i5 : bC=boundaryOfPolytope C;</pre> </td></tr> <tr><td><pre>i6 : F=bC.fc_2_0 o6 = x x x 0 1 2 o6 : face with 3 vertices</pre> </td></tr> <tr><td><pre>i7 : dF=dualize F o7 = v v 0 1 o7 : face with 2 vertices</pre> </td></tr> <tr><td><pre>i8 : F== dualize dF o8 = true</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Face.html" title="The class of all faces of complexes or co-complexes.">Face</a> -- The class of all faces of complexes or co-complexes.</span></li> <li><span><a href="_face.html" title="Generate a face.">face</a> -- Generate a face.</span></li> <li><span><a href="___Complex.html" title="The class of all embedded complexes.">Complex</a> -- The class of all embedded complexes.</span></li> <li><span><a href="_facets.html" title="The maximal faces of a complex.">facets</a> -- The maximal faces of a complex.</span></li> <li><span><a href="_fc.html" title="The faces of a complex.">fc</a> -- The faces of a complex.</span></li> </ul> </div> </div> </body> </html>