<?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>BoijSoederberg : Table of Contents</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body><div><a href="index.html">top</a> | <a href="master.html">index</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> <hr/> <h1>BoijSoederberg : Table of Contents</h1> <ul><li><span><span><a href="index.html" title="Betti diagram routines">BoijSoederberg</a> -- Betti diagram routines</span></span></li> <li><span><span><a href="_bott.html" title="cohomology of Schur functors of tautological bundle on P^n">bott</a> -- cohomology of Schur functors of tautological bundle on P^n</span></span></li> <li><span><span><a href="_bott_lp__List_cm__Z__Z_rp.html" title="cohomology of Schur functor of tautological bundle on P^n">bott(List,ZZ)</a> -- cohomology of Schur functor of tautological bundle on P^n</span></span></li> <li><span><span><a href="_bott_lp__List_cm__Z__Z_cm__Z__Z_rp.html" title="cohomology table of Schur functor of tautolgical bundle on P^n">bott(List,ZZ,ZZ)</a> -- cohomology table of Schur functor of tautolgical bundle on P^n</span></span></li> <li><span><span><a href="___Cohomology__Tally.html" title="cohomology table">CohomologyTally</a> -- cohomology table</span></span></li> <li><span><span><a href="_decompose_lp__Betti__Tally_rp.html" title="write a Betti diagram as a positive combination of pure integral diagrams">decompose(BettiTally)</a> -- write a Betti diagram as a positive combination of pure integral diagrams</span></span></li> <li><span><span><a href="_dot__Product.html" title="entry by entry dot product of two Betti diagrams">dotProduct</a> -- entry by entry dot product of two Betti diagrams</span></span></li> <li><span><span><a href="_facet__Equation_lp__List_cm__Z__Z_cm__Z__Z_cm__Z__Z_rp.html" title="The upper facet equation corresponding to (L,i)">facetEquation(List,ZZ,ZZ,ZZ)</a> -- The upper facet equation corresponding to (L,i)</span></span></li> <li><span><span><a href="_highest__Degrees_lp__Betti__Tally_rp.html" title="list of highest degree shifts">highestDegrees(BettiTally)</a> -- list of highest degree shifts</span></span></li> <li><span><span><a href="_is__Pure_lp__Betti__Tally_rp.html" title="is a Betti diagram pure?">isPure(BettiTally)</a> -- is a Betti diagram pure?</span></span></li> <li><span><span><a href="_lowest__Degrees_lp__Betti__Tally_rp.html" title="list of lowest degree shifts">lowestDegrees(BettiTally)</a> -- list of lowest degree shifts</span></span></li> <li><span><span><a href="_mat2betti_lp__Matrix_cm__Z__Z_rp.html" title="matrix to Betti diagram">mat2betti(Matrix,ZZ)</a> -- matrix to Betti diagram</span></span></li> <li><span><span><tt>mat2cohom</tt> (missing documentation<!-- tag: mat2cohom -->)</span></span></li> <li><span><span><a href="_matrix_lp__Betti__Tally_cm__Z__Z_cm__Z__Z_rp.html" title="Betti diagram to matrix">matrix(BettiTally,ZZ,ZZ)</a> -- Betti diagram to matrix</span></span></li> <li><span><span><a href="_pure__All.html" title="Vector of first betti number of our three specific exact complexes">pureAll</a> -- Vector of first betti number of our three specific exact complexes</span></span></li> <li><span><span><a href="_pure__Betti_lp__List_rp.html" title="list of smallest integral Betti numbers corresponding to a degree sequence">pureBetti(List)</a> -- list of smallest integral Betti numbers corresponding to a degree sequence</span></span></li> <li><span><span><a href="_pure__Betti__Diagram_lp__List_rp.html" title="pure Betti diagram given a list of degrees">pureBettiDiagram(List)</a> -- pure Betti diagram given a list of degrees</span></span></li> <li><span><span><a href="_pure__Char__Free.html" title="first betti number of specific exact complex">pureCharFree</a> -- first betti number of specific exact complex</span></span></li> <li><span><span><a href="_pure__Cohomology__Table_lp__List_cm__Z__Z_cm__Z__Z_rp.html" title="pure cohomology table given zeros of Hilbert polynomial">pureCohomologyTable(List,ZZ,ZZ)</a> -- pure cohomology table given zeros of Hilbert polynomial</span></span></li> <li><span><span><a href="_pure__Two__Invariant.html" title="first betti number of specific exact complex">pureTwoInvariant</a> -- first betti number of specific exact complex</span></span></li> <li><span><span><a href="_pure__Weyman.html" title="first betti number of specific exact complex">pureWeyman</a> -- first betti number of specific exact complex</span></span></li> <li><span><span><a href="_random__Module_lp__List_cm__Z__Z_rp.html" title="module with random relations in prescribed degrees">randomModule(List,ZZ)</a> -- module with random relations in prescribed degrees</span></span></li> <li><span><span><a href="_random__Socle__Module_lp__List_cm__Z__Z_rp.html" title="random finite length module with prescribed number of socle elements in single degree">randomSocleModule(List,ZZ)</a> -- random finite length module with prescribed number of socle elements in single degree</span></span></li> <li><span><span><tt>supportFunctional</tt> (missing documentation<!-- tag: supportFunctional -->)</span></span></li> </ul> </body> </html>
