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<!DOCTYPE html> <html lang="en"> <head> <title>Normaliz : 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="an interface to use Normaliz in Macaulay 2" href="index.html">Normaliz</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>Normaliz : Table of Contents</h1> <ul> <li><span><a title="an interface to use Normaliz in Macaulay 2" href="index.html">Normaliz</a> -- an interface to use Normaliz in Macaulay 2</span></li> <li><span><a href="_all__Computations.html">allComputations</a></span></li> <li><span><a title="creates a monomial subalgebra" href="_create__Monomial__Subalgebra.html">createMonomialSubalgebra</a> -- creates a monomial subalgebra</span></li> <li><span><a title="ring of invariants of a diagonalizable group action" href="_diag__Invariants.html">diagInvariants</a> -- ring of invariants of a diagonalizable group action</span></li> <li><span><a title="Ehrhart ring" href="_ehrhart__Ring.html">ehrhartRing</a> -- Ehrhart ring</span></li> <li><span><a title="Ehrhart ring" href="_ehrhart__Ring_lp__List_rp.html">ehrhartRing(List)</a> -- Ehrhart ring</span></li> <li><span><a title="Ehrhart ring" href="_ehrhart__Ring_lp__List_cmall__Computations_eq_gt..._rp.html">ehrhartRing(List,allComputations=>...)</a> -- Ehrhart ring</span></li> <li><span><a title="Ehrhart ring" href="_ehrhart__Ring_lp__List_cm__Ring__Element_rp.html">ehrhartRing(List,RingElement)</a> -- Ehrhart ring</span></li> <li><span><a title="Ehrhart ring" href="_ehrhart__Ring_lp__List_cm__Ring__Element_cmall__Computations_eq_gt..._rp.html">ehrhartRing(List,RingElement,allComputations=>...)</a> -- Ehrhart ring</span></li> <li><span><a title="ring of invariants of a finite group action" href="_finite__Diag__Invariants.html">finiteDiagInvariants</a> -- ring of invariants of a finite group action</span></li> <li><span><a title="generators of a monomial subalgebra" href="_generators_lp__Monomial__Subalgebra_rp.html">generators(MonomialSubalgebra)</a> -- generators of a monomial subalgebra</span></li> <li><span><a title="returns the numerical invariants computed" href="_get__Num__Invs.html">getNumInvs</a> -- returns the numerical invariants computed</span></li> <li><span><a href="_grading.html">grading</a></span></li> <li><span><a title="normalization of Rees algebra" href="_intcl__Mon__Ideal.html">intclMonIdeal</a> -- normalization of Rees algebra</span></li> <li><span><a title="normalization of Rees algebra" href="_intcl__Mon__Ideal_lp__Ideal_rp.html">intclMonIdeal(Ideal)</a> -- normalization of Rees algebra</span></li> <li><span><a title="normalization of Rees algebra" href="_intcl__Mon__Ideal_lp__Ideal_cmall__Computations_eq_gt..._rp.html">intclMonIdeal(Ideal,allComputations=>...)</a> -- normalization of Rees algebra</span></li> <li><span><a title="normalization of Rees algebra" href="_intcl__Mon__Ideal_lp__Ideal_cm__Ring__Element_rp.html">intclMonIdeal(Ideal,RingElement)</a> -- normalization of Rees algebra</span></li> <li><span><a title="normalization of Rees algebra" href="_intcl__Mon__Ideal_lp__Ideal_cm__Ring__Element_cmall__Computations_eq_gt..._rp.html">intclMonIdeal(Ideal,RingElement,allComputations=>...)</a> -- normalization of Rees algebra</span></li> <li><span><a title="integral closure of a toric ring" href="_intcl__Toric__Ring.html">intclToricRing</a> -- integral closure of a toric ring</span></li> <li><span><a title="integral closure of a toric ring" href="_intcl__Toric__Ring_lp__List_rp.html">intclToricRing(List)</a> -- integral closure of a toric ring</span></li> <li><span><a title="integral closure of a toric ring" href="_intcl__Toric__Ring_lp__List_cmall__Computations_eq_gt..._rp.html">intclToricRing(List,allComputations=>...)</a> -- integral closure of a toric ring</span></li> <li><span><a title="integral closure of a toric ring" href="_intcl__Toric__Ring_lp__Monomial__Subalgebra_rp.html">intclToricRing(MonomialSubalgebra)</a> -- integral closure of a toric ring</span></li> <li><span><a title="integral closure of a toric ring" href="_intcl__Toric__Ring_lp__Monomial__Subalgebra_cmall__Computations_eq_gt..._rp.html">intclToricRing(MonomialSubalgebra,allComputations=>...)</a> -- integral closure of a toric ring</span></li> <li><span><a title="intersection of valuation ideals" href="_intersection__Val__Ring__Ideals.html">intersectionValRingIdeals</a> -- intersection of valuation ideals</span></li> <li><span><a title="intersection of ring of valuations" href="_intersection__Val__Rings.html">intersectionValRings</a> -- intersection of ring of valuations</span></li> <li><span><a href="___Keeping_spresults_spof_spthe_spcomputation_spby_sp__Normaliz.html">Keeping results of the computation by Normaliz</a></span></li> <li><span><a title="class of monomial subalgebras" href="___Monomial__Subalgebra.html">MonomialSubalgebra</a> -- class of monomial subalgebras</span></li> <li><span><a title="global variable, the path where Normaliz stores its files" href="_nmz__Data__Path.html">nmzDataPath</a> -- global variable, the path where Normaliz stores its files</span></li> <li><span><a title="global variable holding the filename" href="_nmz__Filename.html">nmzFilename</a> -- global variable holding the filename</span></li> <li><span><a title="global variable holding the number of threads" href="_nmz__Number__Threads.html">nmzNumberThreads</a> -- global variable holding the number of threads</span></li> <li><span><a title="global variable holding the Normaliz version" href="_nmz__Version.html">nmzVersion</a> -- global variable holding the Normaliz version</span></li> <li><span><a title="calls Normaliz" href="_normaliz.html">normaliz</a> -- calls Normaliz</span></li> <li><span><a title="calls Normaliz with several input matrices" href="_normaliz_lp__List_rp.html">normaliz(List)</a> -- calls Normaliz with several input matrices</span></li> <li><span><a title="calls Normaliz" href="_normaliz_lp__Matrix_cm__String_rp.html">normaliz(Matrix,String)</a> -- calls Normaliz</span></li> <li><span><a title="normalization of a toric ring" href="_normal__Toric__Ring.html">normalToricRing</a> -- normalization of a toric ring</span></li> <li><span><a title="normalization of a toric ring given by a binomial ideal" href="_normal__Toric__Ring_lp__Ideal_cm__Thing_rp.html">normalToricRing(Ideal,Thing)</a> -- normalization of a toric ring given by a binomial ideal</span></li> <li><span><a title="normalization of a toric ring" href="_normal__Toric__Ring_lp__List_rp.html">normalToricRing(List)</a> -- normalization of a toric ring</span></li> <li><span><a title="normalization of a toric ring" href="_normal__Toric__Ring_lp__List_cmall__Computations_eq_gt..._rp.html">normalToricRing(List,allComputations=>...)</a> -- normalization of a toric ring</span></li> <li><span><a title="normalization of a toric ring" href="_normal__Toric__Ring_lp__Monomial__Subalgebra_rp.html">normalToricRing(MonomialSubalgebra)</a> -- normalization of a toric ring</span></li> <li><span><a title="normalization of a toric ring" href="_normal__Toric__Ring_lp__Monomial__Subalgebra_cmall__Computations_eq_gt..._rp.html">normalToricRing(MonomialSubalgebra,allComputations=>...)</a> -- normalization of a toric ring</span></li> <li><span><a title="number of generators of a monomial subalgebra" href="_numgens_lp__Monomial__Subalgebra_rp.html">numgens(MonomialSubalgebra)</a> -- number of generators of a monomial subalgebra</span></li> <li><span><a href="_output_spfiles_spwritten_spby_sp__Normaliz.html">output files written by Normaliz</a></span></li> <li><span><a title="class of rational cones" href="___Rational__Cone.html">RationalCone</a> -- class of rational cones</span></li> <li><span><a title="reads an output file of Normaliz containing several matrices" href="_read__Multiple__Nmz__Data.html">readMultipleNmzData</a> -- reads an output file of Normaliz containing several matrices</span></li> <li><span><a title="reads an output file of Normaliz containing one matrix" href="_read__Nmz__Data.html">readNmzData</a> -- reads an output file of Normaliz containing one matrix</span></li> <li><span><a title="surrounding ring of a monomial subalgebra" href="_ring_lp__Monomial__Subalgebra_rp.html">ring(MonomialSubalgebra)</a> -- surrounding ring of a monomial subalgebra</span></li> <li><span><a title="removes the files created by Normaliz" href="_rm__Nmz__Files.html">rmNmzFiles</a> -- removes the files created by Normaliz</span></li> <li><span><a title="sets a command line option for Normaliz" href="_set__Nmz__Option.html">setNmzOption</a> -- sets a command line option for Normaliz</span></li> <li><span><a title="prints the enabled options" href="_show__Nmz__Options.html">showNmzOptions</a> -- prints the enabled options</span></li> <li><span><a href="___The_spgenerators_spof_spthe_spintegral_spclosure_spof_spthe_sp__Rees_spalgebra_spof_spa_spmonomial_spideal..html">The generators of the integral closure of the Rees algebra of a monomial ideal.</a></span></li> <li><span><a href="___The_sp__Hilbert_spbasis_spand_spthe_spsupport_sphyperplanes_spof_spa_sprational_spcone..html">The Hilbert basis and the support hyperplanes of a rational cone.</a></span></li> <li><span><a href="___The_splattice_sppoints_cm_sp__Ehrhart_spseries_spand_spthe_spsupport_sphyperplanes_spof_span_spintegral_sppolytope..html">The lattice points, Ehrhart series and the support hyperplanes of an integral polytope.</a></span></li> <li><span><a title="ring of invariants of torus action" href="_torus__Invariants.html">torusInvariants</a> -- ring of invariants of torus action</span></li> <li><span><a title="row matrix of the generators of a monomial subalgebra" href="_vars_lp__Monomial__Subalgebra_rp.html">vars(MonomialSubalgebra)</a> -- row matrix of the generators of a monomial subalgebra</span></li> <li><span><a title="creates an input file for Normaliz" href="_write__Nmz__Data.html">writeNmzData</a> -- creates an input file for Normaliz</span></li> <li><span><a title="creates an input file for Normaliz with several matrices" href="_write__Nmz__Data_lp__List_rp.html">writeNmzData(List)</a> -- creates an input file for Normaliz with several matrices</span></li> <li><span><a title="creates an input file for Normaliz with one matrix" href="_write__Nmz__Data_lp__Matrix_cm__String_rp.html">writeNmzData(Matrix,String)</a> -- creates an input file for Normaliz with one matrix</span></li> </ul> </body> </html>
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