<?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>Set - Set -- set difference</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_set__Group__I__D.html">next</a> | <a href="___Set_sp_pl_sp__Set.html">previous</a> | <a href="_set__Group__I__D.html">forward</a> | <a href="___Set_sp_pl_sp__Set.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>Set - Set -- set difference</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 - y</tt></div> </dd></dl> </div> </li> <li><span>Operator: <a href="_-.html" title="a unary or binary operator, usually used for negation or subtraction">-</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>x</tt>, <span>a <a href="___Set.html">set</a></span>, or <span>a <a href="___List.html">list</a></span></span></li> <li><span><tt>y</tt>, <span>a <a href="___Set.html">set</a></span>, or <span>a <a href="___List.html">list</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="___Set.html">set</a></span>, or <span>a <a href="___List.html">list</a></span>, consisting of those elements of x not in y</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>At least one of <tt>x</tt>, <tt>y</tt> must be a set, and the other may be a list. If <tt>x</tt> is a list, then so is the result.<table class="examples"><tr><td><pre>i1 : set{a,b,c} - set{a} o1 = set {b, c} o1 : Set</pre> </td></tr> <tr><td><pre>i2 : set{a,b,c} - {a} o2 = set {b, c} o2 : Set</pre> </td></tr> <tr><td><pre>i3 : {a,b,c} - set{a} o3 = {b, c} o3 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Set.html" title="the class of all sets">Set</a> -- the class of all sets</span></li> </ul> </div> </div> </body> </html>