<?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>Singular Book 1.8.7 -- solving equations</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Singular_sp__Book_sp1.8.9.html">next</a> | <a href="___Singular_sp__Book_sp1.8.6.html">previous</a> | <a href="___Singular_sp__Book_sp1.8.9.html">forward</a> | <a href="___Singular_sp__Book_sp1.8.6.html">backward</a> | <a href="___M2__Singular__Book.html">up</a> | <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> <div><a href="index.html" title="">Macaulay2Doc</a> > <a href="_basic_spcommutative_spalgebra.html" title="">basic commutative algebra</a> > <a href="___M2__Singular__Book.html" title="Macaulay2 examples for the Singular book">M2SingularBook</a> > <a href="___Singular_sp__Book_sp1.8.7.html" title="solving equations">Singular Book 1.8.7</a></div> <hr/> <div><h1>Singular Book 1.8.7 -- solving equations</h1> <div><table class="examples"><tr><td><pre>i1 : A = QQ[x,y,z,MonomialOrder=>Lex];</pre> </td></tr> <tr><td><pre>i2 : I = ideal(x^2+y+z-1, x+y^2+z-1, x+y+z^2-1); o2 : Ideal of A</pre> </td></tr> <tr><td><pre>i3 : transpose gens gb I o3 = {-6} | z6-4z4+4z3-z2 | {-4} | 2yz2+z4-z2 | {-2} | y2-y-z2+z | {-2} | x+y+z2-1 | 4 1 o3 : Matrix A <--- A</pre> </td></tr> </table> Now we need to implement the solver!</div> </div> </body> </html>