<?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>agm -- arithmetic-geometric mean</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Algorithm.html">next</a> | <a href="___After__Print.html">previous</a> | <a href="___Algorithm.html">forward</a> | <a href="___After__Print.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>agm -- arithmetic-geometric mean</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>agm(x,y)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>x</tt>, a number</span></li> <li><span><tt>y</tt>, a number</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span>the arithmetic-geometric mean of <tt>x</tt> and <tt>y</tt></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><table class="examples"><tr><td><pre>i1 : agm(1,2p200) o1 = 1.45679103104690686918643238326508197497386394322130559079417 o1 : RR (of precision 200)</pre> </td></tr> </table> <p>See <a href="http://en.wikipedia.org/wiki/Arithmetic-geometric_mean">http://en.wikipedia.org/wiki/Arithmetic-geometric_mean</a>.</p> </div> </div> <div class="waystouse"><h2>Ways to use <tt>agm</tt> :</h2> <ul><li>agm(CC,CC)</li> <li>agm(CC,QQ)</li> <li>agm(CC,RR)</li> <li>agm(CC,ZZ)</li> <li>agm(QQ,CC)</li> <li>agm(QQ,QQ)</li> <li>agm(QQ,RR)</li> <li>agm(QQ,ZZ)</li> <li>agm(RR,CC)</li> <li>agm(RR,QQ)</li> <li>agm(RR,RR)</li> <li>agm(RR,ZZ)</li> <li>agm(ZZ,CC)</li> <li>agm(ZZ,QQ)</li> <li>agm(ZZ,RR)</li> <li>agm(ZZ,ZZ)</li> </ul> </div> </div> </body> </html>