<?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>parent -- parent type of an object</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_instance.html">next</a> | <a href="_class.html">previous</a> | <a href="_instance.html">forward</a> | <a href="_class.html">backward</a> | <a href="_what_spa_spclass_spis.html">up</a> | <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> <div><a href="index.html" title="">Macaulay2Doc</a> > <a href="___The_sp__Macaulay2_splanguage.html" title="">The Macaulay2 language</a> > <a href="_what_spa_spclass_spis.html" title="">what a class is</a> > <a href="_parent.html" title="parent type of an object">parent</a></div> <hr/> <div><h1>parent -- parent type of an object</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>X = parent x</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>x</tt></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>X</tt>, <span>a <a href="___Type.html">type</a></span>, the parent class of <tt>x</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>Methods for the instances of <tt>X</tt> which are not found in <tt>X</tt> itself are sought in <tt>P</tt>, and its parent, and so on. Thus the mathematical notion of a set <tt>P</tt> and a subset <tt>X</tt> can modeled in this way.<p/> Things that don't have instances have the empty class, called <a href="___Nothing.html" title="the empty class">Nothing</a> as their parent. The parent of <a href="___Thing.html" title="the class of all things">Thing</a> is <a href="___Thing.html" title="the class of all things">Thing</a> itself (because every thing is a thing).<p/> The entire structure of types and their parents can be displayed with <a href="_show__Structure.html" title="display parent structure">showStructure</a>.</div> </div> </div> </body> </html>