<?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>coordinates -- The coordinates of a face.</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_deform.html">next</a> | <a href="_conv__Hull.html">previous</a> | <a href="_deform.html">forward</a> | <a href="_conv__Hull.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>coordinates -- The coordinates of a face.</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>coordinates(C)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>F</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/___List.html">list</a></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>Returns the coordinates of a face if some coker graded ring can be associated to F (if there is non one can give the second argument C).</p> <div/> <table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_4] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : addCokerGrading R o2 = | -1 -1 -1 -1 | | 1 0 0 0 | | 0 1 0 0 | | 0 0 1 0 | | 0 0 0 1 | 5 4 o2 : Matrix ZZ <--- ZZ</pre> </td></tr> <tr><td><pre>i3 : C=simplex R o3 = 4: x x x x x 0 1 2 3 4 o3 : complex of dim 4 embedded in dim 4 (printing facets) equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 1}, Euler = 0</pre> </td></tr> <tr><td><pre>i4 : bC=boundaryOfPolytope C o4 = 3: x x x x x x x x x x x x x x x x x x x x 0 1 2 3 0 1 2 4 0 1 3 4 0 2 3 4 1 2 3 4 o4 : complex of dim 3 embedded in dim 4 (printing facets) equidimensional, simplicial, F-vector {1, 5, 10, 10, 5, 0}, Euler = -1</pre> </td></tr> <tr><td><pre>i5 : F=bC.fc_2_0 o5 = x x x 0 1 2 o5 : face with 3 vertices</pre> </td></tr> <tr><td><pre>i6 : coordinates F o6 = {{-1, -1, -1, -1}, {1, 0, 0, 0}, {0, 1, 0, 0}} o6 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_add__Coker__Grading.html" title="Stores a cokernel grading in a polynomial ring.">addCokerGrading</a> -- Stores a cokernel grading in a polynomial ring.</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>coordinates</tt> :</h2> <ul><li>coordinates(Face)</li> <li>coordinates(Face,Complex)</li> </ul> </div> </div> </body> </html>