<?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>render -- draws the Groebner fan an ideal.</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_render__Staircase.html">next</a> | <a href="_initial__Ideal.html">previous</a> | <a href="_render__Staircase.html">forward</a> | <a href="_initial__Ideal.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>render -- draws the Groebner fan an ideal.</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>renderStaircase(I) \n renderStaircase(d,I) \n renderStaircase(F,I) \n renderStaircase(F,d,I) \n renderStaircase(d,n,L) \n renderStaircase(F,d,n,L)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>F</tt>, <span>a <a href="../../Macaulay2Doc/html/___String.html">string</a></span>, filename of the xfig file that is produced</span></li> <li><span><tt>I</tt>, <span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, of which to draw the Groebner fan.</span></li> <li><span><tt>Symmetries</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, a list of symmetries of the ideal.</span></li> </ul> </div> </li> <li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_render.html">Symmetries => ...</a>, -- draws the Groebner fan an ideal.</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><div>Renders the Groebner fan of an ideal. The output is put into an xfig file if a filename is provided. If no filename is provided then macaulay uses fig2dev to make a png which is displayed by the operating system (see <a href="../../Macaulay2Doc/html/_show.html" title="display various TeX, hypertext, or a URL, in an external application">show</a>).</div> <table class="examples"><tr><td><pre>i1 : R = QQ[symbol a..symbol f];</pre> </td></tr> <tr><td><pre>i2 : I = pfaffians(4, genericSkewMatrix(R,4)) o2 = ideal(c*d - b*e + a*f) o2 : Ideal of R</pre> </td></tr> <tr><td><pre>i3 : null -- render(I)</pre> </td></tr> <tr><td><pre>i4 : null -- render("pfaffgfan.fig", I)</pre> </td></tr> </table> <div>To run the examples above, ommit the <tt>null -- </tt>. The first command will display the Groebner fan of <tt>I</tt> while the second writes the image to file.</div> </div> </div> <div class="waystouse"><h2>Ways to use <tt>render</tt> :</h2> <ul><li>render(Ideal)</li> <li>render(String,Ideal)</li> </ul> </div> </div> </body> </html>