<?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 1.2.3 -- leading data</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_sp1.2.13.html">next</a> | <a href="___Singular_sp__Book_sp1.1.10.html">previous</a> | <a href="___Singular_sp__Book_sp1.2.13.html">forward</a> | <a href="___Singular_sp__Book_sp1.1.10.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_sp1.2.3.html" title="leading data">Singular Book 1.2.3</a></div> <hr/> <div><h1>Singular Book 1.2.3 -- leading data</h1> <div><table class="examples"><tr><td><pre>i1 : A = QQ[x,y,z,MonomialOrder=>Lex];</pre> </td></tr> <tr><td><pre>i2 : f = y^4*z^3+2*x^2*y^2*z^2+3*x^5+4*z^4+5*y^2 5 2 2 2 4 3 2 4 o2 = 3x + 2x y z + y z + 5y + 4z o2 : A</pre> </td></tr> <tr><td><pre>i3 : leadMonomial f 5 o3 = x o3 : A</pre> </td></tr> <tr><td><pre>i4 : exponents leadMonomial f o4 = {{5, 0, 0}} o4 : List</pre> </td></tr> <tr><td><pre>i5 : leadTerm f 5 o5 = 3x o5 : A</pre> </td></tr> <tr><td><pre>i6 : leadCoefficient f o6 = 3 o6 : QQ</pre> </td></tr> <tr><td><pre>i7 : someTerms(f,1,size f - 1) 2 2 2 4 3 2 4 o7 = 2x y z + y z + 5y + 4z o7 : A</pre> </td></tr> <tr><td><pre>i8 : someTerms(f,1,-1) 2 2 2 4 3 2 4 o8 = 2x y z + y z + 5y + 4z o8 : A</pre> </td></tr> </table> </div> </div> </body> </html>