<?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>Tally ** Tally -- Cartesian product of tallies</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Tally_sp_pl_sp__Tally.html">next</a> | <a href="_tally.html">previous</a> | <a href="___Tally_sp_pl_sp__Tally.html">forward</a> | <a href="_tally.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>Tally ** Tally -- Cartesian product of tallies</h1> <div class="single"><h2>Synopsis</h2> <ul><li><span>Operator: <a href="__st_st.html" title="a binary operator, usually used for tensor product or Cartesian product">**</a></span></li> </ul> </div> <div class="single"><h2>Description</h2> <div><tt>x ** y</tt> -- produces the Cartesian product of two tallies.<p/> One of the arguments may be a <a href="___Set.html" title="the class of all sets">Set</a>.<p/> <table class="examples"><tr><td><pre>i1 : x = tally {a,a,b} o1 = Tally{a => 2} b => 1 o1 : Tally</pre> </td></tr> <tr><td><pre>i2 : y = tally {1,2,2,2} o2 = Tally{1 => 1} 2 => 3 o2 : Tally</pre> </td></tr> <tr><td><pre>i3 : x ** y o3 = Tally{(a, 1) => 2} (a, 2) => 6 (b, 1) => 1 (b, 2) => 3 o3 : Tally</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Tally.html" title="the class of all tally results">Tally</a> -- the class of all tally results</span></li> <li><span><a href="_tally.html" title="tally the elements of a list or sequence">tally</a> -- tally the elements of a list or sequence</span></li> </ul> </div> </div> </body> </html>