<?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(RingElement) -- expression in terms of elementary symmetric polynomials</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div>next | <a href="_elementary__Symmetric_lp__Polynomial__Ring_rp.html">previous</a> | forward | <a href="_elementary__Symmetric_lp__Polynomial__Ring_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>elementarySymmetric(RingElement) -- expression in terms of elementary symmetric polynomials</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 f</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>f</tt>, <span>a <a href="../../Macaulay2Doc/html/___Ring__Element.html">ring element</a></span>, a symmetric<a href="../../Macaulay2Doc/html/___Ring__Element.html" title="the class of all ring elements handled by the engine">RingElement</a></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>the expression of f in terms of the elementary symmetric functions e_i</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 : f=(product gens R)*(sum gens R);</pre> </td></tr> <tr><td><pre>i4 : elementarySymmetric f o4 = e e 1 5 o4 : S</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 class="single"><h2>Caveat</h2> <div>if the input is not symmetric the function will announce this</div> </div> </div> </body> </html>