<?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>iszero -- Tests whether something is zero.</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_join__Vectors.html">next</a> | <a href="_is__Trivial.html">previous</a> | <a href="_join__Vectors.html">forward</a> | <a href="_is__Trivial.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>iszero -- Tests whether something is zero.</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>iszero(c)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>c</tt>, <span>a <a href="../../Macaulay2Doc/html/___Thing.html">thing</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Boolean.html">Boolean value</a></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><p>Makes the test c == 0_<a href="../../Macaulay2Doc/html/_class.html" title="class of an object">class</a> c. Why does <a href="../../Macaulay2Doc/html/_zero.html" title="whether something is zero">zero</a> not work for elements in the cokernel of a matrix?</p> <div/> <table class="examples"><tr><td><pre>i1 : A= matrix {{-1, -1, -1}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1}} o1 = | -1 -1 -1 | | 1 0 0 | | 0 1 0 | | 0 0 1 | 4 3 o1 : Matrix ZZ <--- ZZ</pre> </td></tr> <tr><td><pre>i2 : c1=cokerElement(vector {1,1,0,0},A) o2 = | 2 | | 0 | | 0 | | 0 | o2 : cokernel | -1 -1 -1 | | 1 0 0 | | 0 1 0 | | 0 0 1 |</pre> </td></tr> <tr><td><pre>i3 : c2=cokerElement(vector {1,-1,0,0},A) o3 = 0 o3 : cokernel | -1 -1 -1 | | 1 0 0 | | 0 1 0 | | 0 0 1 |</pre> </td></tr> <tr><td><pre>i4 : c2==(0_(class c2)) o4 = true</pre> </td></tr> <tr><td><pre>i5 : iszero c2 o5 = true</pre> </td></tr> <tr><td><pre>i6 : iszero c1 o6 = false</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="../../Macaulay2Doc/html/_zero.html" title="whether something is zero">zero</a> -- whether something is zero</span></li> <li><span><a href="_coker__Element.html" title="Gives an element in the cokernel of a matrix.">cokerElement</a> -- Gives an element in the cokernel of a matrix.</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>iszero</tt> :</h2> <ul><li>iszero(Thing)</li> </ul> </div> </div> </body> </html>