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05C05-AVLTree.tex
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05C05-AVLTree.tex
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\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{AVLTree}
\pmcreated{2013-03-22 13:24:39}
\pmmodified{2013-03-22 13:24:39}
\pmowner{PrimeFan}{13766}
\pmmodifier{PrimeFan}{13766}
\pmtitle{AVL tree}
\pmrecord{9}{33956}
\pmprivacy{1}
\pmauthor{PrimeFan}{13766}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{05C05}
\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}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%%%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
\begin{document}
An \emph{AVL tree} is a balanced binary search tree where the height of the two
subtrees (children) of a node differs by at most one. Look-up, insertion, and
deletion are $O( \ln{n})$, where $n$ is the number of nodes in the tree.
The structure is named for the inventors, Adelson-Velskii and Landis (1962).
%%%%%
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\end{document}