<?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>highestDegrees(BettiTally) -- list of highest degree shifts</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_is__Pure_lp__Betti__Tally_rp.html">next</a> | <a href="_facet__Equation_lp__List_cm__Z__Z_cm__Z__Z_cm__Z__Z_rp.html">previous</a> | <a href="_is__Pure_lp__Betti__Tally_rp.html">forward</a> | <a href="_facet__Equation_lp__List_cm__Z__Z_cm__Z__Z_cm__Z__Z_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>highestDegrees(BettiTally) -- list of highest degree shifts</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>highestDegrees B</tt></div> </dd></dl> </div> </li> <li><span>Function: <a href="_highest__Degrees_lp__Betti__Tally_rp.html" title="list of highest degree shifts">highestDegrees</a></span></li> <li><div class="single">Inputs:<ul><li><span><tt>B</tt>, <span>a <a href="../../Macaulay2Doc/html/___Betti__Tally.html">Betti tally</a></span></span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, of highest degree shifts occuring in B</span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : R = ZZ/101[a..e];</pre> </td></tr> <tr><td><pre>i2 : B = betti res ideal"ab,ac,bd,be,ae,cd,ce,a3,b3,c3,d3,e3" 0 1 2 3 4 5 o2 = total: 1 12 29 30 15 3 0: 1 . . . . . 1: . 7 11 6 1 . 2: . 5 14 13 4 . 3: . . 1 2 1 . 4: . . 3 9 9 3 o2 : BettiTally</pre> </td></tr> <tr><td><pre>i3 : highestDegrees B o3 = {0, 3, 6, 7, 8, 9} o3 : List</pre> </td></tr> <tr><td><pre>i4 : lowestDegrees B o4 = {0, 2, 3, 4, 5, 9} o4 : List</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_lowest__Degrees_lp__Betti__Tally_rp.html" title="list of lowest degree shifts">lowestDegrees</a> -- list of lowest degree shifts</span></li> <li><span><a href="_is__Pure_lp__Betti__Tally_rp.html" title="is a Betti diagram pure?">isPure</a> -- is a Betti diagram pure?</span></li> </ul> </div> </div> </body> </html>