68P05-Balance.tex

\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{Balance}
\pmcreated{2013-03-22 17:22:18}
\pmmodified{2013-03-22 17:22:18}
\pmowner{Mathprof}{13753}
\pmmodifier{Mathprof}{13753}
\pmtitle{balance}
\pmrecord{4}{39734}
\pmprivacy{1}
\pmauthor{Mathprof}{13753}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{68P05}
\pmclassification{msc}{68P10}

\endmetadata

% this is the default PlanetMath preamble.  as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

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%\usepackage{psfrag}
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%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
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%%%\usepackage{xypic}

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% define commands here

\begin{document}
The \PMlinkescapetext{(weight)} \emph{balance} $\rho(T)$ of a tree $T$ is the number of leaves of the 
left subtree of a tree, denoted 
$|T_l|$, divided by the total number of leaves of the tree. 
That is, $\rho (T) = \frac{|T_l|}{|T|}$.
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\end{document}