<?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>product(VisibleList,VisibleList,Function) -- product of results of applying a function pairwise</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_product_lp__Z__Z_cm__Function_rp.html">next</a> | <a href="_product_lp__Visible__List_cm__Function_rp.html">previous</a> | <a href="_product_lp__Z__Z_cm__Function_rp.html">forward</a> | <a href="_product_lp__Visible__List_cm__Function_rp.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>product(VisibleList,VisibleList,Function) -- product of results of applying a function pairwise</h1> <div class="single"><h2>Synopsis</h2> <ul><li><span>Function: <a href="_product.html" title="">product</a></span></li> </ul> </div> <div class="single"><h2>Description</h2> <div><tt>product(v,w,f)</tt> yields the product of the results obtained by applying <tt>f</tt> to each of the pairs <tt>(i,j)</tt> of elements from the lists <tt>v</tt> and <tt>w</tt>, which should be of the same length.<p/> <table class="examples"><tr><td><pre>i1 : M = monoid [x,y,z];</pre> </td></tr> <tr><td><pre>i2 : product({2,3,4},{x,y,z},(i,j)->j^i) 2 3 4 o2 = x y z o2 : M</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_product.html" title="">product</a></span></li> </ul> </div> </div> </body> </html>