<?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>Symbol Index</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body><div><a href="index.html">top</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> <hr/> <h1>Symbol Index</h1> <div><a href="#A">A</a> <a href="#B">B</a> <a href="#C">C</a> <a href="#D">D</a> <a href="#E">E</a> <a href="#F">F</a> <a href="#G">G</a> <a href="#H">H</a> <a href="#I">I</a> <a href="#J">J</a> <a href="#K">K</a> <a href="#L">L</a> <a href="#M">M</a> <a href="#N">N</a> <a href="#O">O</a> <a href="#P">P</a> <a href="#Q">Q</a> <a href="#R">R</a> <a href="#S">S</a> <a href="#T">T</a> <a href="#U">U</a> <a href="#V">V</a> <a href="#W">W</a> <a href="#X">X</a> <a href="#Y">Y</a> <a href="#Z">Z</a></div> <ul><li><span><a id="A"/><a id="B"/><a id="C"/></span><span><a href="_cancel__All.html" title="make all potentially possible cancellations in the graded free resolution of an ideal">cancelAll</a> -- make all potentially possible cancellations in the graded free resolution of an ideal</span></li> <li><span><a id="D"/><a id="E"/><a id="F"/><a id="G"/></span><span><a href="_generate__L__P__Ps.html" title="return all LPP ideals corresponding to a given Hilbert function">generateLPPs</a> -- return all LPP ideals corresponding to a given Hilbert function</span></li> <li><span><a id="H"/></span><span><a href="_hilbert__Funct.html" title="return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list">hilbertFunct</a> -- return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list</span></li> <li><span><a id="I"/></span><span><a href="_is__C__M.html" title="test whether a polynomial ring modulo a homogeneous ideal is Cohen-Macaulay">isCM</a> -- test whether a polynomial ring modulo a homogeneous ideal is Cohen-Macaulay</span></li> <li><span><a href="_is__H__F.html" title="is a finite list a Hilbert function of a polynomial ring mod a homogeneous ideal">isHF</a> -- is a finite list a Hilbert function of a polynomial ring mod a homogeneous ideal</span></li> <li><span><a href="_is__Lex__Ideal.html" title="determine whether an ideal is a lexicographic ideal">isLexIdeal</a> -- determine whether an ideal is a lexicographic ideal</span></li> <li><span><a href="_is__L__P__P.html" title="determine whether an ideal is an LPP ideal">isLPP</a> -- determine whether an ideal is an LPP ideal</span></li> <li><span><a href="_is__Pure__Power.html" title="determine whether a ring element is a pure power of a variable">isPurePower</a> -- determine whether a ring element is a pure power of a variable</span></li> <li><span><a id="J"/><a id="K"/><a id="L"/></span><span><a href="_lex__Ideal.html" title="produce a lexicographic ideal">lexIdeal</a> -- produce a lexicographic ideal</span></li> <li><span><a href="index.html" title="a package for working with lex ideals">LexIdeals</a> -- a package for working with lex ideals</span></li> <li><span><a href="___L__P__P.html" title="return the lex-plus-powers (LPP) ideal corresponding to a given Hilbert function and power sequence">LPP</a> -- return the lex-plus-powers (LPP) ideal corresponding to a given Hilbert function and power sequence</span></li> <li><span><a id="M"/></span><span><a href="_macaulay__Bound.html" title="the bound on the growth of a Hilbert function from Macaulay's Theorem">macaulayBound</a> -- the bound on the growth of a Hilbert function from Macaulay's Theorem</span></li> <li><span><a href="_macaulay__Lower__Operator.html" title="the a_<d> operator used in Green's proof of Macaulay's Theorem">macaulayLowerOperator</a> -- the a_<d> operator used in Green's proof of Macaulay's Theorem</span></li> <li><span><a href="_macaulay__Rep.html" title="the Macaulay representation of an integer">macaulayRep</a> -- the Macaulay representation of an integer</span></li> <li><span><a href="___Max__Degree.html" title="optional argument for hilbertFunct">MaxDegree</a> -- optional argument for hilbertFunct</span></li> <li><span><a href="_mult__Bounds.html" title="determine whether an ideal satisfies the upper and lower bounds of the multiplicity conjecture">multBounds</a> -- determine whether an ideal satisfies the upper and lower bounds of the multiplicity conjecture</span></li> <li><span><a href="_mult__Lower__Bound.html" title="determine whether an ideal satisfies the lower bound of the multiplicity conjecture">multLowerBound</a> -- determine whether an ideal satisfies the lower bound of the multiplicity conjecture</span></li> <li><span><a href="_mult__Upper__Bound.html" title="determine whether an ideal satisfies the upper bound of the multiplicity conjecture">multUpperBound</a> -- determine whether an ideal satisfies the upper bound of the multiplicity conjecture</span></li> <li><span><a href="_mult__Upper__H__F.html" title="test a sufficient condition for the upper bound of the multiplicity conjecture">multUpperHF</a> -- test a sufficient condition for the upper bound of the multiplicity conjecture</span></li> <li><span><a id="N"/><a id="O"/><a id="P"/></span><span><a href="___Print__Ideals.html" title="optional argument for generateLPPs">PrintIdeals</a> -- optional argument for generateLPPs</span></li> </ul> <div><span><a id="Q"/><a id="R"/><a id="S"/><a id="T"/><a id="U"/><a id="V"/><a id="W"/><a id="X"/><a id="Y"/><a id="Z"/></span></div> </body> </html>