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<record version="1" id="3378">
 <title>arity</title>
 <name>Arity</name>
 <created>2002-08-28 21:49:25</created>
 <modified>2002-08-28 21:49:25</modified>
 <type>Definition</type>
 <creator id="455" name="Henry"/>
 <author id="455" name="Henry"/>
 <classification>
	<category scheme="msc" code="00A05"/>
 </classification>
 <defines>
	<concept>unary</concept>
	<concept>binary</concept>
 </defines>
 <synonyms>
	<synonym concept="arity" alias="ary"/>
	<synonym concept="arity" alias="-arity"/>
 </synonyms>
 <related>
	<object name="BinaryOperation"/>
 </related>
 <preamble>% 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}
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%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
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%\usepackage{xypic}

% there are many more packages, add them here as you need them

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%\PMlinkescapeword{theory}</preamble>
 <content>The \emph{arity} of something is the number of arguments it takes.  This is usually applied to functions: an $n$-ary function is one that takes $n$ arguments.  \emph{Unary} is a synonym for $1$-ary, and binary for $2$-ary.</content>
</record>
