<?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>accumulate(Function,Thing,VisibleList)</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_accumulate_lp__Function_cm__Visible__List_rp.html">next</a> | <a href="_accumulate.html">previous</a> | <a href="_accumulate_lp__Function_cm__Visible__List_rp.html">forward</a> | <a href="_accumulate.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>accumulate(Function,Thing,VisibleList)</h1> <div class="single"><h2>Synopsis</h2> <ul><li><span>Function: <a href="_accumulate.html" title="apply binary operator repeatedly">accumulate</a></span></li> </ul> </div> <div class="single"><h2>Description</h2> <div><tt>accumulate(f,x0,{x1,...,xn})</tt> -- computes the list <tt>{f(x0,x1),f(f(x0,x1),x2),...}</tt>.<table class="examples"><tr><td><pre>i1 : accumulate(identity, a, {b,c,d,e}) o1 = {(a, b), ((a, b), c), (((a, b), c), d), ((((a, b), c), d), e)} o1 : List</pre> </td></tr> <tr><td><pre>i2 : accumulate (times, 1, 1 .. 10) o2 = (1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800) o2 : Sequence</pre> </td></tr> </table> </div> </div> </div> </body> </html>