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<!DOCTYPE html> <html lang="en"> <head> <title>LexIdeals : Table of Contents</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="a package for working with lex ideals" href="index.html">LexIdeals</a> :: <a href="toc.html">Table of Contents</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> next | previous | forward | backward | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <h1>LexIdeals : Table of Contents</h1> <ul> <li><span><a title="a package for working with lex ideals" href="index.html">LexIdeals</a> -- a package for working with lex ideals</span></li> <li><span><a title="make all potentially possible cancellations in the graded free resolution of an ideal" href="_cancel__All.html">cancelAll</a> -- make all potentially possible cancellations in the graded free resolution of an ideal</span></li> <li><span><a title="return all LPP ideals corresponding to a given Hilbert function" href="_generate__L__P__Ps.html">generateLPPs</a> -- return all LPP ideals corresponding to a given Hilbert function</span></li> <li><span><a title="print LPP ideals nicely on the screen" href="_generate__L__P__Ps_lp..._cm__Print__Ideals_eq_gt..._rp.html">generateLPPs(...,PrintIdeals=>...)</a> -- print LPP ideals nicely on the screen</span></li> <li><span><a title="return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list" href="_hilbert__Funct.html">hilbertFunct</a> -- return the Hilbert function of a polynomial ring mod a homogeneous ideal as a list</span></li> <li><span><a title="bound degree through which Hilbert function is computed" href="_hilbert__Funct_lp..._cm__Max__Degree_eq_gt..._rp.html">hilbertFunct(...,MaxDegree=>...)</a> -- bound degree through which Hilbert function is computed</span></li> <li><span><a title="test whether a polynomial ring modulo a homogeneous ideal is Cohen-Macaulay" href="_is__C__M.html">isCM</a> -- test whether a polynomial ring modulo a homogeneous ideal is Cohen-Macaulay</span></li> <li><span><a title="is a finite list a Hilbert function of a polynomial ring mod a homogeneous ideal" href="_is__H__F.html">isHF</a> -- is a finite list a Hilbert function of a polynomial ring mod a homogeneous ideal</span></li> <li><span><a title="determine whether an ideal is a lexicographic ideal" href="_is__Lex__Ideal.html">isLexIdeal</a> -- determine whether an ideal is a lexicographic ideal</span></li> <li><span><a title="determine whether an ideal is an LPP ideal" href="_is__L__P__P.html">isLPP</a> -- determine whether an ideal is an LPP ideal</span></li> <li><span><a title="determine whether a ring element is a pure power of a variable" href="_is__Pure__Power.html">isPurePower</a> -- determine whether a ring element is a pure power of a variable</span></li> <li><span><a title="produce a lexicographic ideal" href="_lex__Ideal.html">lexIdeal</a> -- produce a lexicographic ideal</span></li> <li><span><a title="return the lex-plus-powers (LPP) ideal corresponding to a given Hilbert function and power sequence" href="___L__P__P.html">LPP</a> -- return the lex-plus-powers (LPP) ideal corresponding to a given Hilbert function and power sequence</span></li> <li><span><a title="the bound on the growth of a Hilbert function from Macaulay's Theorem" href="_macaulay__Bound.html">macaulayBound</a> -- the bound on the growth of a Hilbert function from Macaulay's Theorem</span></li> <li><span><a title="the a_<d> operator used in Green's proof of Macaulay's Theorem" href="_macaulay__Lower__Operator.html">macaulayLowerOperator</a> -- the a_<d> operator used in Green's proof of Macaulay's Theorem</span></li> <li><span><a title="the Macaulay representation of an integer" href="_macaulay__Rep.html">macaulayRep</a> -- the Macaulay representation of an integer</span></li> <li><span><a title="optional argument for hilbertFunct" href="___Max__Degree.html">MaxDegree</a> -- optional argument for hilbertFunct</span></li> <li><span><a title="determine whether an ideal satisfies the upper and lower bounds of the multiplicity conjecture" href="_mult__Bounds.html">multBounds</a> -- determine whether an ideal satisfies the upper and lower bounds of the multiplicity conjecture</span></li> <li><span><a title="determine whether an ideal satisfies the lower bound of the multiplicity conjecture" href="_mult__Lower__Bound.html">multLowerBound</a> -- determine whether an ideal satisfies the lower bound of the multiplicity conjecture</span></li> <li><span><a title="determine whether an ideal satisfies the upper bound of the multiplicity conjecture" href="_mult__Upper__Bound.html">multUpperBound</a> -- determine whether an ideal satisfies the upper bound of the multiplicity conjecture</span></li> <li><span><a title="test a sufficient condition for the upper bound of the multiplicity conjecture" href="_mult__Upper__H__F.html">multUpperHF</a> -- test a sufficient condition for the upper bound of the multiplicity conjecture</span></li> <li><span><a title="optional argument for generateLPPs" href="___Print__Ideals.html">PrintIdeals</a> -- optional argument for generateLPPs</span></li> </ul> </body> </html>
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