<?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>mat2betti(Matrix,ZZ) -- matrix to Betti diagram</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_mat2cohom.html">next</a> | <a href="_lowest__Degrees_lp__Betti__Tally_rp.html">previous</a> | <a href="_mat2cohom.html">forward</a> | <a href="_lowest__Degrees_lp__Betti__Tally_rp.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>mat2betti(Matrix,ZZ) -- matrix to Betti diagram</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>mat2betti(M,lowDegree)</tt><br/><tt>mat2betti M</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_mat2betti_lp__Matrix_cm__Z__Z_rp.html" title="matrix to Betti diagram">mat2betti</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>M</tt>, <span>a <a href="../../Macaulay2Doc/html/___Matrix.html">matrix</a></span>, A matrix of Betti numbers: each row corresponds to a slanted degree</span></li> <li><span><tt>lowDegree</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, default value is 0</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Betti__Tally.html">Betti tally</a></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div>Change from matrix representation to Betti diagram representation.<table class="examples"><tr><td><pre>i1 : M = matrix"1,0,0,0;0,3,0,0;0,0,5,3" o1 = | 1 0 0 0 | | 0 3 0 0 | | 0 0 5 3 | 3 4 o1 : Matrix ZZ <--- ZZ</pre> </td></tr> <tr><td><pre>i2 : mat2betti M 0 1 2 3 o2 = total: 1 3 5 3 0: 1 . . . 1: . 3 . . 2: . . 5 3 o2 : BettiTally</pre> </td></tr> <tr><td><pre>i3 : mat2betti(M,3) 0 1 2 3 o3 = total: 1 3 5 3 3: 1 . . . 4: . 3 . . 5: . . 5 3 o3 : BettiTally</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_matrix_lp__Betti__Tally_cm__Z__Z_cm__Z__Z_rp.html" title="Betti diagram to matrix">matrix(BettiTally)</a> -- Betti diagram to matrix</span></li> </ul> </div> </div> </body> </html>