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<!DOCTYPE html> <html lang="en"> <head> <title>Triplets : 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="Betti diagrams and hypercohomology tables associated to triplets of degree sequences" href="index.html">Triplets</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>Triplets : Table of Contents</h1> <ul> <li><span><a title="Betti diagrams and hypercohomology tables associated to triplets of degree sequences" href="index.html">Triplets</a> -- Betti diagrams and hypercohomology tables associated to triplets of degree sequences</span></li> <li><span><a title="Betti numbers of first pure complex" href="___Betti1_lp__Triplet_rp.html">Betti1(Triplet)</a> -- Betti numbers of first pure complex</span></li> <li><span><a title="Betti numbers of the three pure complexes" href="___Betti3_lp__Triplet_rp.html">Betti3(Triplet)</a> -- Betti numbers of the three pure complexes</span></li> <li><span><a title="Betti diagram of first pure complex " href="___Betti__Diagram1_lp__Triplet_rp.html">BettiDiagram1(Triplet)</a> -- Betti diagram of first pure complex </span></li> <li><span><a title="Betti diagrams of the three pure complexes" href="___Betti__Diagram3_lp__Triplet_rp.html">BettiDiagram3(Triplet)</a> -- Betti diagrams of the three pure complexes</span></li> <li><span><a title="product of two binomial polynomials" href="_bin__Pol_lp__Ring__Element_cm__Z__Z_cm__Z__Z_rp.html">binPol(RingElement,ZZ,ZZ)</a> -- product of two binomial polynomials</span></li> <li><span><a title="Hilbert polynomial of cohomology sheaves" href="_chi__Pol_lp__Ring__Element_cm__Z__Z_cm__List_cm__List_rp.html">chiPol(RingElement,ZZ,List,List)</a> -- Hilbert polynomial of cohomology sheaves</span></li> <li><span><a title="cohomology table in matrix form" href="_coh__Matrix_lp__Z__Z_cm__Z__Z_cm__Triplet_rp.html">cohMatrix(ZZ,ZZ,Triplet)</a> -- cohomology table in matrix form</span></li> <li><span><a title="cohomology table" href="_coh__Table_lp__Z__Z_cm__Z__Z_cm__Triplet_rp.html">cohTable(ZZ,ZZ,Triplet)</a> -- cohomology table</span></li> <li><span><a title="conjugate of degree sequence" href="_conj_lp__List_cm__Z__Z_rp.html">conj(List,ZZ)</a> -- conjugate of degree sequence</span></li> <li><span><a title="the dual homology triplet" href="_dual__Hom__Triplet_lp__Triplet_rp.html">dualHomTriplet(Triplet)</a> -- the dual homology triplet</span></li> <li><span><a title="coefficients of Hilbert polynomial" href="_hilb__Coeff_lp__Triplet_rp.html">hilbCoeff(Triplet)</a> -- coefficients of Hilbert polynomial</span></li> <li><span><a title="Hilbert polynomial" href="_hilb__Pol_lp__Ring__Element_cm__Z__Z_cm__List_cm__List_rp.html">hilbPol(RingElement,ZZ,List,List)</a> -- Hilbert polynomial</span></li> <li><span><a title="checks if it is a degree triplet" href="_is__Degree__Triplet_lp__Triplet_rp.html">isDegreeTriplet(Triplet)</a> -- checks if it is a degree triplet</span></li> <li><span><a title="checks if it is a homology triplet" href="_is__Homology__Triplet_lp__Triplet_rp.html">isHomologyTriplet(Triplet)</a> -- checks if it is a homology triplet</span></li> <li><span><a title="backward cyclic permutation" href="_rot__Back_lp__Triplet_rp.html">rotBack(Triplet)</a> -- backward cyclic permutation</span></li> <li><span><a title="forward cyclic permutation" href="_rot__Forw_lp__Triplet_rp.html">rotForw(Triplet)</a> -- forward cyclic permutation</span></li> <li><span><a title="strand span of degree sequence" href="_strands_lp__List_rp.html">strands(List)</a> -- strand span of degree sequence</span></li> <li><span><a title="strand span as a subset of [0,n]" href="_strands__L_lp__Z__Z_cm__List_rp.html">strandsL(ZZ,List)</a> -- strand span as a subset of [0,n]</span></li> <li><span><a title="from homology triplet to degree triplet" href="_to__Degree_lp__Triplet_rp.html">toDegree(Triplet)</a> -- from homology triplet to degree triplet</span></li> <li><span><a title="from degree triplet to homology triplet" href="_to__Homology_lp__Triplet_rp.html">toHomology(Triplet)</a> -- from degree triplet to homology triplet</span></li> <li><span><a title="triplet" href="___Triplet.html">Triplet</a> -- triplet</span></li> <li><span><a title="make a triplet" href="_triplet_lp__List_cm__List_cm__List_rp.html">triplet(List,List,List)</a> -- make a triplet</span></li> <li><span><a title="number of variables" href="_type_lp__Triplet_rp.html">type(Triplet)</a> -- number of variables</span></li> </ul> </body> </html>
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