<?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>betti -- display degrees</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_betti_lp..._cm_sp__Weights_sp_eq_gt_sp..._rp.html">next</a> | <a href="___Bessel__Y.html">previous</a> | <a href="_betti_lp..._cm_sp__Weights_sp_eq_gt_sp..._rp.html">forward</a> | <a href="___Bessel__Y.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>betti -- display degrees</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_betti_lp..._cm_sp__Weights_sp_eq_gt_sp..._rp.html">Weights => ...</a>, </span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>The function <tt>betti</tt> displays the degrees of generators and relations of graded modules and ideals.</div> </div> <div class="waystouse"><h2>Ways to use <tt>betti</tt> :</h2> <ul><li><span><a href="_betti_lp__Betti__Tally_rp.html" title="view and set the weights of a betti display">betti(BettiTally)</a> -- view and set the weights of a betti display</span></li> <li><span><a href="_betti_lp__Graded__Module_rp.html" title="display of degrees in a graded module">betti(GradedModule)</a> -- display of degrees in a graded module</span></li> <li><span><a href="_betti_lp__Groebner__Basis_rp.html" title="diagram of the degrees of a groebner basis">betti(GroebnerBasis)</a> -- diagram of the degrees of a groebner basis</span></li> <li><span><a href="_betti_lp__Ideal_rp.html" title="gives the degrees of generators.">betti(Ideal)</a> -- gives the degrees of generators.</span></li> <li><span>betti(MonomialIdeal), see <span><a href="_betti_lp__Ideal_rp.html" title="gives the degrees of generators.">betti(Ideal)</a> -- gives the degrees of generators.</span></span></li> <li><span><a href="_betti_lp__Matrix_rp.html" title="display of the degrees of a map">betti(Matrix)</a> -- display of the degrees of a map</span></li> <li><span>betti(CoherentSheaf), see <span><a href="_betti_lp__Module_rp.html" title="show the degrees of the generators and relations of a module or a coherent sheaf">betti(Module)</a> -- show the degrees of the generators and relations of a module or a coherent sheaf</span></span></li> <li><span><a href="_betti_lp__Module_rp.html" title="show the degrees of the generators and relations of a module or a coherent sheaf">betti(Module)</a> -- show the degrees of the generators and relations of a module or a coherent sheaf</span></li> </ul> </div> </div> </body> </html>