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\input{isomath}
\input{mathenv}

\renewcommand{\theequation}{\arabic{problem}.\arabic{equation}}
\renewcommand{\labelenumi}{(\alph{enumi})}
\def\ve{\varepsilon}

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\begin{document}
\title{Test 2 take-home $\cdot$ MAT 444 $\cdot$ Spring 2003}
\author{John Kerl}
\date{\today}
%\maketitle

\bigskip

Binary relations:

\bigskip

%\begin{tabular}{|ll|ll|ll|}
\begin{tabular}{llllll}
$<$ & \verb*|<| & $>$ & \verb*|>| & $=$ & \verb*|=| \\
$\le$ & \verb*|\le| & $\ge$ & \verb*|\ge| & $\equiv$ & \verb*|\equiv| \\
$\ll$ & \verb*|\ll| & $\gg$ & \verb*|\gg| & $\doteq$ & \verb*|\doteq| \\
$\prec$ & \verb*|\prec| & $\succ$ & \verb*|\succ| & $\sim$ & \verb*|\sim| \\
$\preceq$ & \verb*|\preceq| & $\succeq$ & \verb*|\succeq| & $\simeq$ & \verb*|\simeq| \\
$\subset$ & \verb*|\subset| & $\supset$ & \verb*|\supset| & $\approx$ & \verb*|\approx| \\
$\subseteq$ & \verb*|\subseteq| & $\supseteq$ & \verb*|\supseteq| & $\cong$ & \verb*|\cong| \\
$\sqsubset$ & \verb*|\sqsubset| & $\sqsupset$ & \verb*|\sqsupset| & $\Join$ & \verb*|\Join| \\
$\sqsubseteq$ & \verb*|\sqsubseteq| & $\sqsupseteq$ & \verb*|\sqsupseteq| & $\bowtie$ & \verb*|\bowtie| \\
$\in$ & \verb*|\in| & $\owns$ & \verb*|\owns| & $\propto$ & \verb*|\propto| \\
$\vdash$ & \verb*|\vdash| & $\dashv$ & \verb*|\dashv| & $\models$ & \verb*|\models| \\
$\mid$ & \verb*|\mid| & $\parallel$ & \verb*|\parallel| & $\perp$ & \verb*|\perp| \\
$\smile$ & \verb*|\smile| & $\frown$ & \verb*|\frown| & $\asymp$ & \verb*|\asymp| \\
$:$ & \verb*|:| & $\notin$ & \verb*|\notin| & $\ne$ & \verb*|\ne| \\
\end{tabular}

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Binary operators:

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%\begin{tabular}{|ll|ll|ll|}
\begin{tabular}{llllll}
$+$ & \verb*|+| & $-$ & \verb*|-| & $$ & \\
$\pm$ & \verb*|\pm| & $\mp$ & \verb*|\mp| & $\triangleleft$ & \verb*|\triangleleft| \\
$\cdot$ & \verb*|\cdot| & $\div$ & \verb*|\div| & $\triangleright$ & \verb*|\triangleright| \\
$\times$ & \verb*|\times| & $\setminus$ & \verb*|\setminus| & $\star$ & \verb*|\star| \\
$\cup$ & \verb*|\cup| & $\cap$ & \verb*|\cap| & $\ast$ & \verb*|\ast| \\
$\sqcup$ & \verb*|\sqcup| & $\sqcap$ & \verb*|\sqcap| & $\circ$ & \verb*|\circ| \\
$\vee$ & \verb*|\vee| & $\wedge$ & \verb*|\wedge| & $\bullet$ & \verb*|\bullet| \\
$\oplus$ & \verb*|\oplus| & $\ominus$ & \verb*|\ominus| & $\diamond$ & \verb*|\diamond| \\
$\odot$ & \verb*|\odot| & $\oslash$ & \verb*|\oslash| & $\uplus$ & \verb*|\uplus| \\
$\otimes$ & \verb*|\otimes| & $\bigcirc$ & \verb*|\bigcirc| & $\amalg$ & \verb*|\amalg| \\
$\bigtriangleup$ & \verb*|\bigtriangleup| & $\bigtriangledown$ & \verb*|\bigtriangledown| & $\dagger$ & \verb*|\dagger| \\
$\lhd$ & \verb*|\lhd| & $\rhd$ & \verb*|\rhd| & $\ddagger$ & \verb*|\ddagger| \\
$\unlhd$ & \verb*|\unlhd| & $\unrhd$ & \verb*|\unrhd| & $\wr$ & \verb*|\wr| \\
$\ll$ & \verb*|\ll| & $\ll$ & \verb*|\ll| & $\ll$ & \verb*|\ll| \\
$\ll$ & \verb*|\ll| & $\ll$ & \verb*|\ll| & $\ll$ & \verb*|\ll| \\
\end{tabular}

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BIG operators:

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%\begin{tabular}{|ll|ll|ll|ll|}
\begin{tabular}{llllllll}
$\sum$ & \verb*|\sum| & $\bigcup$ & \verb*|\bigcup| &
$\bigvee$ & \verb*|\bigvee| & $\bigoplus$ & \verb*|\bigoplus| \\
$\prod$ & \verb*|\prod| & $\bigcap$ & \verb*|\bigcap| &
$\bigwedge$ & \verb*|\bigwedge| & $\bigotimes$ & \verb*|\bigotimes| \\
$\coprod$ & \verb*|\coprod| & $\bigsqcup$ & \verb*|\bigsqcup| &
$$ &  & $\bigodot$ & \verb*|\bigodot| \\
$\int$ & \verb*|\int| & $\oint$ & \verb*|\oint| &
$$ &  & $\biguplus$ & \verb*|\biguplus| \\
\end{tabular}

%$\ll$ & \verb*|\ll| & $\ll$ & \verb*|\ll| & $\ll$ & \verb*|\ll| \\
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Spacing:

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\begin{tabular}{|l|l|l|l|l|l|l|l|}
\hline $X$$X$ &
$X$\,$X$ &
$X$\:$X$ &
$X$\;$X$ &
$X$\ $X$ &
$X$\quad$X$ &
$X$\qquad$X$ &
$X$\!$X$ \\
%
\hline (none) &
\verb*@\,@ &
\verb*@\:@ &
\verb*@\;@ &
\verb*@\ @ &
\verb*@\quad@ &
\verb*@\qquad@ &
\verb*@\!@ \\
\hline
\end{tabular}

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\end{document}
