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<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><title>Commutative Algebra</title><meta name="generator" content="DocBook XSL Stylesheets Vsnapshot"><link rel="home" href="index.html" title="Руководство пользователя Genius"><link rel="up" href="ch11.html" title="Chapter 11. Список функций GEL"><link rel="prev" href="ch11s16.html" title="Теория множеств"><link rel="next" href="ch11s18.html" title="Прочие"></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Commutative Algebra</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="ch11s16.html">Prev</a> </td><th width="60%" align="center">Chapter 11. Список функций GEL</th><td width="20%" align="right"> <a accesskey="n" href="ch11s18.html">Next</a></td></tr></table><hr></div><div class="sect1"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a name="genius-gel-function-list-commutative-algebra"></a>Commutative Algebra</h2></div></div></div><div class="variablelist"><dl class="variablelist"><dt><span lang="en" class="term"><a name="gel-function-MacaulayBound"></a>MacaulayBound</span></dt><dd><pre lang="en" class="synopsis">MacaulayBound (c,d)</pre><p lang="en">For a Hilbert function that is c for degree d, given the Macaulay bound for the Hilbert function of degree d+1 (The c^<d> operator from Green's proof).</p><p lang="en">Version 1.0.15 onwards.</p></dd><dt><span lang="en" class="term"><a name="gel-function-MacaulayLowerOperator"></a>MacaulayLowerOperator</span></dt><dd><pre lang="en" class="synopsis">MacaulayLowerOperator (c,d)</pre><p lang="en">The c_<d> operator from Green's proof of Macaulay's Theorem.</p><p lang="en">Version 1.0.15 onwards.</p></dd><dt><span lang="en" class="term"><a name="gel-function-MacaulayRep"></a>MacaulayRep</span></dt><dd><pre lang="en" class="synopsis">MacaulayRep (c,d)</pre><p lang="en">Return the dth Macaulay representation of a positive integer c.</p><p lang="en">Version 1.0.15 onwards.</p></dd></dl></div></div><div class="navfooter"><hr><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="ch11s16.html">Prev</a> </td><td width="20%" align="center"><a accesskey="u" href="ch11.html">Up</a></td><td width="40%" align="right"> <a accesskey="n" href="ch11s18.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">Теория множеств </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> Прочие</td></tr></table></div></body></html>
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