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<head><title>elementarySymmetric -- expression in terms of elementary symmetric polynomials</title>
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<div><h1>elementarySymmetric -- 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>
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<li><div class="single">Inputs:<ul><li><span>f, a symmetric</span></li>
<li><span><a href="../../Macaulay2Doc/html/___Ring__Element.html" title="the class of all ring elements handled by the engine">RingElement</a></span></li>
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<li><div class="single">Outputs:<ul><li><span>the expression of f in terms of the elementary symmetric functions e_i</span></li>
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<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>
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<tr><td><pre>i3 : f=(product gens R)*(sum gens R);</pre>
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<tr><td><pre>i4 : elementarySymmetric f
o4 = e e
1 5
o4 : S</pre>
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<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>
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<div class="single"><h2>Caveat</h2>
<div>if the input is not symmetric the function will announce this</div>
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<div class="waystouse"><h2>Ways to use <tt>elementarySymmetric</tt> :</h2>
<ul><li><span><a href="_elementary__Symmetric_lp__Polynomial__Ring_rp.html" title="elementary symmetric polynomials algebra">elementarySymmetric(PolynomialRing)</a> -- elementary symmetric polynomials algebra</span></li>
<li><span><a href="_elementary__Symmetric_lp__Ring__Element_rp.html" title="expression in terms of elementary symmetric polynomials">elementarySymmetric(RingElement)</a> -- expression in terms of elementary symmetric polynomials</span></li>
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