Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 3784

Macaulay2-1.3.1-8.fc15.i686.rpm

<?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>