<?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>new ChainComplex -- make a new chain complex from scratch</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_new_sp__Hash__Table_spfrom_sp__List.html">next</a> | <a href="_net__List_lp__Visible__List_rp.html">previous</a> | <a href="_new_sp__Hash__Table_spfrom_sp__List.html">forward</a> | <a href="_net__List_lp__Visible__List_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>new ChainComplex -- make a new chain complex from scratch</h1> <div class="single"><h2>Description</h2> <div><tt>C = new ChainComplex</tt> -- make a new chain complex.<p/> The new chain complex is initialized with a differential of degree <tt>-1</tt> accessible as <tt>C.dd</tt> and of type <a href="___Chain__Complex__Map.html" title="the class of all maps between chain complexes">ChainComplexMap</a>. You can take the new chain complex and fill in the ring, the modules, and the differentials.<table class="examples"><tr><td><pre>i1 : C = new ChainComplex;</pre> </td></tr> <tr><td><pre>i2 : C.ring = ZZ;</pre> </td></tr> <tr><td><pre>i3 : C#2 = ZZ^1;</pre> </td></tr> <tr><td><pre>i4 : C#3 = ZZ^2;</pre> </td></tr> <tr><td><pre>i5 : C.dd#3 = matrix {{3,-11}}; 1 2 o5 : Matrix ZZ <--- ZZ</pre> </td></tr> <tr><td><pre>i6 : C 1 2 o6 = ZZ <-- ZZ 2 3 o6 : ChainComplex</pre> </td></tr> <tr><td><pre>i7 : C.dd 1 2 o7 = 2 : ZZ <------------- ZZ : 3 | 3 -11 | o7 : ChainComplexMap</pre> </td></tr> </table> </div> </div> </div> </body> </html>