<?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>elementarySymmetric(PolynomialRing) -- elementary symmetric polynomials algebra</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_elementary__Symmetric_lp__Ring__Element_rp.html">next</a> | <a href="_elementary__Symmetric.html">previous</a> | <a href="_elementary__Symmetric_lp__Ring__Element_rp.html">forward</a> | <a href="_elementary__Symmetric.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>elementarySymmetric(PolynomialRing) -- elementary symmetric polynomials algebra</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>elementalSymm R</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_elementary__Symmetric.html" title="expression in terms of elementary symmetric polynomials">elementarySymmetric</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="../../Macaulay2Doc/html/___Polynomial__Ring.html">polynomial ring</a></span>, a<a href="../../Macaulay2Doc/html/___Polynomial__Ring.html" title="the class of all ordered monoid rings">PolynomialRing</a></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>a map from R adjoin the elementary symmetric functions e_i to R</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : n=5;</pre> </td></tr> <tr><td><pre>i2 : R=QQ[x_1..x_n];</pre> </td></tr> <tr><td><pre>i3 : elementarySymmetric R o3 = map(S,R,{x , x , x , x , x }) 1 2 3 4 5 o3 : RingMap S <--- R</pre> </td></tr> </table> <p>This function should work up to a size of 15 variables in the base ring</p> <p>This function is part of the package SymmetricPolynomials.</p> </div> </div> </div> </body> </html>