<?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>