<?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>vars(Ring) -- row matrix of the variables</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="___Vector.html">next</a> | <a href="_vars_lp__List_rp.html">previous</a> | <a href="___Vector.html">forward</a> | <a href="_vars_lp__List_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>vars(Ring) -- row matrix of the variables</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>vars R</tt></div>
</dd></dl>
</div>
</li>
<li><span>Function: <a href="_vars.html" title="variables">vars</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Ring.html">ring</a></span></span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, a matrix with one row whose entries are the variables of the ring <tt>R</tt></span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : S = QQ[w,x,y,z];</pre>
</td></tr>
<tr><td><pre>i2 : vars S
o2 = | w x y z |
1 4
o2 : Matrix S <--- S</pre>
</td></tr>
<tr><td><pre>i3 : ideal vars S
o3 = ideal (w, x, y, z)
o3 : Ideal of S</pre>
</td></tr>
<tr><td><pre>i4 : coker vars S
o4 = cokernel | w x y z |
1
o4 : S-module, quotient of S</pre>
</td></tr>
<tr><td><pre>i5 : res coker vars S
1 4 6 4 1
o5 = S <-- S <-- S <-- S <-- S <-- 0
0 1 2 3 4 5
o5 : ChainComplex</pre>
</td></tr>
<tr><td><pre>i6 : R = S/(x^2-w*y, x*y-w*z, x*z-y^2);</pre>
</td></tr>
<tr><td><pre>i7 : vars R
o7 = | w x y z |
1 4
o7 : Matrix R <--- R</pre>
</td></tr>
<tr><td><pre>i8 : use S;</pre>
</td></tr>
<tr><td><pre>i9 : Q = S/(x^2-w*y, z);</pre>
</td></tr>
<tr><td><pre>i10 : vars S
o10 = | w x y z |
1 4
o10 : Matrix S <--- S</pre>
</td></tr>
</table>
</div>
</div>
</div>
</body>
</html>
