<?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>directProduct(Fan,Fan) -- computes the direct product of two fans</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_dual__Cone.html">next</a> | <a href="_direct__Product_lp__Cone_cm__Cone_rp.html">previous</a> | <a href="_dual__Cone.html">forward</a> | <a href="_direct__Product_lp__Cone_cm__Cone_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>directProduct(Fan,Fan) -- computes the direct product of two fans</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 = directProduct(F1,F2)</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_direct__Product.html" title="computes the direct product of two convex objects">directProduct</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>F1</tt>, <span>an object of class <a href="___Fan.html" title="the class of all fans">Fan</a></span></span></li> <li><span><tt>F2</tt>, <span>an object of class <a href="___Fan.html" title="the class of all fans">Fan</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>F</tt>, <span>an object of class <a href="___Fan.html" title="the class of all fans">Fan</a></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p/> The <tt>directProduct</tt> of two fans is the fan given by <tt>C = C1 x C2</tt> for all cones <tt>C1 in F1</tt> and <tt>C2 in F2</tt> in the direct product of the ambient spaces.<table class="examples"><tr><td><pre>i1 : F1 = normalFan hypercube 1 o1 = {ambient dimension => 1 } number of generating cones => 2 number of rays => 2 top dimension of the cones => 1 o1 : Fan</pre> </td></tr> <tr><td><pre>i2 : F2 = normalFan hypercube 2 o2 = {ambient dimension => 2 } number of generating cones => 4 number of rays => 4 top dimension of the cones => 2 o2 : Fan</pre> </td></tr> <tr><td><pre>i3 : F = directProduct(F1,F2) o3 = {ambient dimension => 3 } number of generating cones => 8 number of rays => 6 top dimension of the cones => 3 o3 : Fan</pre> </td></tr> <tr><td><pre>i4 : F == normalFan hypercube 3 o4 = true</pre> </td></tr> </table> <p/> See also <a href="___Fan_sp_st_sp__Fan.html" title="computes the direct product">Fan * Fan</a>.</div> </div> </div> </body> </html>