<?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>VirtualTally</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="___Visible__List_sp_sl_sp__Function.html">next</a> | <a href="_view__Help.html">previous</a> | <a href="___Visible__List_sp_sl_sp__Function.html">forward</a> | <a href="_view__Help.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>VirtualTally</h1> <div class="single"><h2>Description</h2> <div>The only difference between this class and <a href="___Tally.html" title="the class of all tally results">Tally</a> is that this class allows negative numbers.<table class="examples"><tr><td><pre>i1 : x = tally {a,b,b,c,c,c} o1 = Tally{a => 1} b => 2 c => 3 o1 : Tally</pre> </td></tr> <tr><td><pre>i2 : y = tally {a,a,a,b,b,c} o2 = Tally{a => 3} b => 2 c => 1 o2 : Tally</pre> </td></tr> <tr><td><pre>i3 : x' = new VirtualTally from x o3 = VirtualTally{a => 1} b => 2 c => 3 o3 : VirtualTally</pre> </td></tr> <tr><td><pre>i4 : y' = new VirtualTally from y o4 = VirtualTally{a => 3} b => 2 c => 1 o4 : VirtualTally</pre> </td></tr> <tr><td><pre>i5 : x-y o5 = Tally{c => 2} o5 : Tally</pre> </td></tr> <tr><td><pre>i6 : x'-y' o6 = VirtualTally{c => 2} o6 : VirtualTally</pre> </td></tr> </table> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="___Betti__Tally.html" title="the class of all Betti tallies">BettiTally</a> -- the class of all Betti tallies</span></li> </ul> </div> <div class="waystouse"><h2>Types of virtual tally :</h2> <ul><li><span><a href="___Betti__Tally.html" title="the class of all Betti tallies">BettiTally</a> -- the class of all Betti tallies</span></li> </ul> <h2>Functions and methods returning a virtual tally :</h2> <ul><li>VirtualTally - VirtualTally</li> <li><span><tt>VirtualTally + VirtualTally</tt> (missing documentation<!-- tag: (+,VirtualTally,VirtualTally) -->)</span></li> </ul> <h2>Methods that use a virtual tally :</h2> <ul><li><span><tt>- VirtualTally</tt> (missing documentation<!-- tag: (-,VirtualTally) -->)</span></li> </ul> </div> <div class="waystouse"><h2>For the programmer</h2> <p>The object <a href="___Virtual__Tally.html" title="">VirtualTally</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Tally.html" title="the class of all tally results">Tally</a> < <a href="___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p> </div> </div> </body> </html>