<?xml version="1.0" encoding="UTF-8"?>

<record version="2" id="10330">
 <title>logical matrix</title>
 <name>LogicalMatrix</name>
 <created>2008-02-24 14:59:52</created>
 <modified>2008-02-25 11:18:42</modified>
 <type>Definition</type>
 <creator id="15246" name="Jon Awbrey"/>
 <author id="15246" name="Jon Awbrey"/>
 <classification>
	<category scheme="msc" code="03B10"/>
	<category scheme="msc" code="03E20"/>
	<category scheme="msc" code="05B20"/>
	<category scheme="msc" code="05B30"/>
	<category scheme="msc" code="05C65"/>
	<category scheme="msc" code="08A02"/>
	<category scheme="msc" code="68P15"/>
	<category scheme="msc" code="68R01"/>
 </classification>
 <defines>
	<concept>logical matrix</concept>
 </defines>
 <synonyms>
	<synonym concept="logical matrix" alias="Boolean matrix"/>
 </synonyms>
 <related>
	<object name="RelationTheory"/>
	<object name="RelationComposition2"/>
	<object name="MatrixRepresentationOfRelationComposition"/>
	<object name="TriadicRelation"/>
 </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}
% 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
</preamble>
 <content>A \textbf{logical matrix}, in the finite dimensional case, is a $k$-dimensional array with entries from the Boolean domain $\mathbb{B} = \{ 0, 1 \}$.  Such a matrix affords a matrix representation of a $k$-adic relation.
</content>
</record>
