Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 4339

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>expression -- convert to an expression</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
  <tr>
    <td><div><a href="___Ext.html">next</a> | <a href="___Expression.html">previous</a> | <a href="___Ext.html">forward</a> | <a href="___Expression.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>expression -- convert to an expression</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>expression x</tt></div>
</dd></dl>
</div>
</li>
<li><div class="single">Inputs:<ul><li><span><tt>x</tt></span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><span>an <a href="___Expression.html">expression</a></span>,  constructed from <tt>x</tt> using the mathematical structure of <tt>x</tt>, if present</span></li>
</ul>
</div>
</li>
</ul>
</div>
<div class="single"><h2>Description</h2>
<div>Here is example of a function that expresses small rational numbers as Egyptian fractions using <a href="_expression.html" title="convert to an expression">expression</a>.<table class="examples"><tr><td><pre>i1 : egyptian = method();</pre>
</td></tr>
<tr><td><pre>i2 : egyptian QQ := x -> if x == 0 then 0 else (
          n := ceiling(1/x);
          expression(1/n) + egyptian(x - 1/n));</pre>
</td></tr>
<tr><td><pre>i3 : egyptian(30/31)

     1   1   1    1      1         1
o3 = - + - + - + --- + ----- + ---------
     2   3   8   107   15922   633759288

o3 : Expression of class Sum</pre>
</td></tr>
</table>
</div>
</div>
</div>
</body>
</html>