<?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>resolution(..., PairLimit => ...) -- stop when this number of pairs has been handled</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_resolution_lp..._cm_sp__Sort__Strategy_sp_eq_gt_sp..._rp.html">next</a> | <a href="_resolution_lp..._cm_sp__Length__Limit_sp_eq_gt_sp..._rp.html">previous</a> | <a href="_resolution_lp..._cm_sp__Sort__Strategy_sp_eq_gt_sp..._rp.html">forward</a> | <a href="_resolution_lp..._cm_sp__Length__Limit_sp_eq_gt_sp..._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>resolution(..., PairLimit => ...) -- stop when this number of pairs has been handled</h1> <div class="single"><h2>Description</h2> <div><tt>PairLimit</tt> -- keyword for an optional argument used with <a href="_resolution.html" title="projective resolution">resolution</a>, which specifies that the computation should be stopped after a certain number of S-pairs have been reduced.<table class="examples"><tr><td><pre>i1 : R = QQ[x,y,z,w] o1 = R o1 : PolynomialRing</pre> </td></tr> <tr><td><pre>i2 : M = cokernel matrix {{x*y-z,y^2-w-1,w^4-3}} o2 = cokernel | xy-z y2-w-1 w4-3 | 1 o2 : R-module, quotient of R</pre> </td></tr> <tr><td><pre>i3 : res(M, PairLimit => 1) 1 1 o3 = R <-- R <-- 0 0 1 2 o3 : ChainComplex</pre> </td></tr> <tr><td><pre>i4 : res(M, PairLimit => 10) 1 4 2 o4 = R <-- R <-- R <-- 0 0 1 2 3 o4 : ChainComplex</pre> </td></tr> <tr><td><pre>i5 : res(M, PairLimit => 20) 1 6 8 2 o5 = R <-- R <-- R <-- R <-- 0 0 1 2 3 4 o5 : ChainComplex</pre> </td></tr> </table> </div> </div> <h2>Further information</h2> <ul><li><span>Default value: <a href="_infinity.html" title="infinity">infinity</a></span></li> <li><span>Function: <span><a href="_resolution.html" title="projective resolution">resolution</a> -- projective resolution</span></span></li> <li><span>Option name: <span><a href="___Pair__Limit.html" title="name for an optional argument">PairLimit</a> -- name for an optional argument</span></span></li> </ul> </div> </body> </html>