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<!DOCTYPE html> <html lang="en"> <head> <title>Binomials : 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 binomial ideals" href="index.html">Binomials</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>Binomials : Table of Contents</h1> <ul> <li><span><a title="a package for binomial ideals" href="index.html">Binomials</a> -- a package for binomial ideals</span></li> <li><span><a title="Binomial Cellular Decomposition" href="___B__C__D.html">BCD</a> -- Binomial Cellular Decomposition</span></li> <li><span><a title="Associated primes of a binomial ideal" href="_binomial__Associated__Primes.html">binomialAssociatedPrimes</a> -- Associated primes of a binomial ideal</span></li> <li><span><a title="Binomial Cellular Decomposition" href="_binomial__Cellular__Decomposition.html">binomialCellularDecomposition</a> -- Binomial Cellular Decomposition</span></li> <li><span><a title="test for primary binomial ideals" href="_binomial__Is__Primary.html">binomialIsPrimary</a> -- test for primary binomial ideals</span></li> <li><span><a title="test for primeness of a binomial ideal" href="_binomial__Is__Prime.html">binomialIsPrime</a> -- test for primeness of a binomial ideal</span></li> <li><span><a title="minimal primes of a binomial Ideal" href="_binomial__Minimal__Primes.html">binomialMinimalPrimes</a> -- minimal primes of a binomial Ideal</span></li> <li><span><a title="Binomial Primary Decomposition" href="_binomial__Primary__Decomposition.html">binomialPrimaryDecomposition</a> -- Binomial Primary Decomposition</span></li> <li><span><a title="generate informative output" href="_binomial__Primary__Decomposition_lp..._cm__Verbose_eq_gt..._rp.html">binomialPrimaryDecomposition(...,Verbose=>...)</a> -- generate informative output</span></li> <li><span><a title="Radical of a binomial ideal" href="_binomial__Radical.html">binomialRadical</a> -- Radical of a binomial ideal</span></li> <li><span><a title="solving zero-dimensional binomial Ideals" href="_binomial__Solve.html">binomialSolve</a> -- solving zero-dimensional binomial Ideals</span></li> <li><span><a title="Binomial Unmixed Decomposition" href="_binomial__Unmixed__Decomposition.html">binomialUnmixedDecomposition</a> -- Binomial Unmixed Decomposition</span></li> <li><span><a title="Binomial Primary Decomposition" href="___B__P__D.html">BPD</a> -- Binomial Primary Decomposition</span></li> <li><span><a title="Binomial Unmixed Decomposition" href="___B__U__D.html">BUD</a> -- Binomial Unmixed Decomposition</span></li> <li><span><a title="Associated primes of a cellular binomial ideal" href="_cellular__Binomial__Associated__Primes.html">cellularBinomialAssociatedPrimes</a> -- Associated primes of a cellular binomial ideal</span></li> <li><span><a title="test for primaryness of a binomial ideal" href="_cellular__Binomial__Is__Primary.html">cellularBinomialIsPrimary</a> -- test for primaryness of a binomial ideal</span></li> <li><span><a title="Primary decomposition of a cellular binomial ideal" href="_cellular__Binomial__Primary__Decomposition.html">cellularBinomialPrimaryDecomposition</a> -- Primary decomposition of a cellular binomial ideal</span></li> <li><span><a title="Radical of a cellular binomial ideal" href="_cellular__Binomial__Radical.html">cellularBinomialRadical</a> -- Radical of a cellular binomial ideal</span></li> <li><span><a title="Unmixed decomposition of a cellular binomial ideal" href="_cellular__Binomial__Unmixed__Decomposition.html">cellularBinomialUnmixedDecomposition</a> -- Unmixed decomposition of a cellular binomial ideal</span></li> <li><span><a title="cellular variables" href="___Cell__Variables.html">CellVariables</a> -- cellular variables</span></li> <li><span><a title="Extract inclusion minimal ideals from a list of ideals" href="_extract__Inclusion__Minimal__Ideals.html">extractInclusionMinimalIdeals</a> -- Extract inclusion minimal ideals from a list of ideals</span></li> <li><span><a title="Generate a lattice ideal from a character." href="_ideal__From__Character.html">idealFromCharacter</a> -- Generate a lattice ideal from a character.</span></li> <li><span><a title="testing for unital binomial ideals" href="_is__Binomial.html">isBinomial</a> -- testing for unital binomial ideals</span></li> <li><span><a title="testing for cellular binomial ideals" href="_is__Cellular.html">isCellular</a> -- testing for cellular binomial ideals</span></li> <li><span><a title="construct the ideal whose generators correspond to generators of an integer lattice" href="_lattice__Basis__Ideal.html">latticeBasisIdeal</a> -- construct the ideal whose generators correspond to generators of an integer lattice</span></li> <li><span><a title="make a binomial from an exponent vector and a coefficient" href="_make__Binomial.html">makeBinomial</a> -- make a binomial from an exponent vector and a coefficient</span></li> <li><span><a title="the class of all partial characters" href="___Partial__Character.html">PartialCharacter</a> -- the class of all partial characters</span></li> <li><span><a title="Computing the partial character of a cellular binomial ideal" href="_partial__Character.html">partialCharacter</a> -- Computing the partial character of a cellular binomial ideal</span></li> <li><span><a title="Random Binomial Ideals" href="_random__Binomial__Ideal.html">randomBinomialIdeal</a> -- Random Binomial Ideals</span></li> <li><span><a title="return the cellular variables" href="___Return__Cell__Vars.html">ReturnCellVars</a> -- return the cellular variables</span></li> <li><span><a title="return two partial characters" href="___Return__P__Chars.html">ReturnPChars</a> -- return two partial characters</span></li> <li><span><a title="return two associated primes" href="___Return__Primes.html">ReturnPrimes</a> -- return two associated primes</span></li> </ul> </body> </html>
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