<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass{beamer}
\setbeamertemplate{navigation symbols}{}

\usepackage{amsmath,amssymb,latexsym}

\usepackage{mathrsfs,marvosym,textcomp}

\usepackage{pifont,chemarrow}

\usetheme{Berkeley}
\usecolortheme{sidebartab}
\useinnertheme{rounded}
\usefonttheme{serif}
\beamertemplateshadingbackground{yellow!20}{cyan!40}

\newcommand{\ds}{\displaystyle}
\newcommand{\bd}{\textbackslash\texttt{begin\{document\}}}
\newcommand{\upc}[1]{\textbackslash\texttt{usepackage\{#1\}}}

\begin{document}

\title[\LaTeX]{\LaTeX\ and \AmS-\LaTeX\ Symbols}  
\author{Emre Sermutlu}
\date{\today} 

\begin{frame}
\titlepage
\end{frame}

\section{Introduction}

\begin{frame}
\frametitle{Introduction I}
\framesubtitle{About This Document}
\begin{itemize}
\item This document lists symbols in standard \\LaTeX,  \AmS-\LaTeX\ and a few additional packages.
\item The document is optimized for viewing on a computer. I recommend using it full screen (Ctrl+L for Acrobat) and then navigating by clicking the sidebar. 
\item You may reach the latest version of this file (and also another file using Txfonts) at \textcolor{blue}{\url{academic.cankaya.edu.tr/~sermutlu}}.
\end{itemize}
\begin{block}{Copyright Notice}
You may download, upload, post, use and distribute this pdf file freely, provided that you do not
add or delete material, split, merge or in any other way modify the file.\\
This file is provided \textit{as is}, with no warranties implied.
\end{block}
\end{frame}

\begin{frame}
\frametitle{Introduction II}
\framesubtitle{Note About Packages}
\begin{itemize}
\item I did not separate the the \AmS-\LaTeX\ symbols from the standard ones. Do not forget the include \alert{\upc{amsmath,amssymb,latexsym}} before \bd\ to be able to use these symbols.
\item In the section Extra, I have included the packages \texttt{Textcomp}, \texttt{Marvosym}, \texttt{Pifont} and \texttt{Chemarrow} to give a taste of the rich world of \LaTeX. You need to install  packages and then write \upc{packagename} to access these symbols. (If you are using MiKTeX, it will install packages automatically at first usage.)
\item There are many more packages and thousands of symbols not included here. I recommend Scott Pakin's \texttt{The Comprehensive LaTeX Symbol List} for a complete listing. (It can be reached at \textcolor{blue}{\url{www.ctan.org}}).
\end{itemize}
\end{frame}

\begin{frame}
\frametitle{Introduction III}
\framesubtitle{About the Author}
\begin{itemize}
\item Prepared by Dr. Emre Sermutlu, Department of Mathematics and Computer Science, \c{C}ankaya University, Ankara-Turkey.
\item I started this project for my personal needs, as it was unfeasible to browse books or search the internet every time I needed an unfamiliar symbol. I am using a computer whenever I am using \LaTeX, so I needed a file optimized for viewing on screen, not printing on paper.
\item I am a fan of Beamer, which is a wonderful class for preparing Power-Point like presentations in \LaTeX. You are currently seeing the power of Beamer. You can learn more about it at: \textcolor{blue}{\url{http://latex-beamer.sourceforge.net}}
\item Please report errors, omissions, suggestions and any other kind of feedback to \textcolor{blue}{sermutlu@cankaya.edu.tr}.
\end{itemize}
\end{frame}


\section[TEXT]{TEXT Symbols} 

\begin{frame}[fragile]
\frametitle{TEXT Symbols I}
 
\begin{tabular}{|c|c|c|} \hline
\begin{tabular}{cl}
\$ &amp; \verb+\$+ \\
\&amp; &amp; \verb+\&amp;+ \\
\# &amp; \verb+\#+ \\
\% &amp; \verb+\%+ \\
\{ &amp; \verb+\{+ \\
\} &amp; \verb+\}+ \\
\- &amp; \verb+\-+ \\
\P &amp; \verb+\P+ \\
\S &amp; \verb+\S+ \\
\dag &amp; \verb+\dag+ \\
\ddag &amp; \verb+\ddag+ \\
\i &amp; \verb+\i+ \\
\j &amp; \verb+\j+ \\
\t{BB} &amp; \verb+\t{BB}+ 
\end{tabular}
&amp;
\begin{tabular}{cl}
\"{U} &amp; \verb+\"{U}+ \\
\.{I} &amp; \verb+\.{I}+ \\
\~{G} &amp; \verb+\~{G}+ \\
\H{A} &amp; \verb+\H{A}+ \\
\`{O} &amp; \verb+\`{O}+ \\
\^{C} &amp; \verb+\^{C}+ \\
\v{C} &amp; \verb+\v{C}+ \\
\r{T} &amp; \verb+\r{T}+ \\
\'{P} &amp; \verb+\'{P}+ \\
\u{M} &amp; \verb+\u{M}+ \\
\={N} &amp; \verb+\={N}+ \\
\b{E} &amp; \verb+\b{E}+ \\
\c{S} &amp; \verb+\c{S}+ \\
\d{F}&amp; \verb+\d{F}+ \\
\end{tabular}
&amp;
\begin{tabular}{cl}
\copyright &amp; \verb+\copyright+ \\
\circledR &amp; \verb+\circledR+ \\
\textcircled{a} &amp; \verb+\textcircled{a}+ \\
\texttrademark &amp; \verb+\texttrademark+ \\
\checkmark &amp; \verb+\checkmark+ \\
\pounds &amp; \verb+\pounds+  \\
\maltese &amp; \verb+\maltese+ \\
\textbullet &amp; \verb+\textbullet+ \\
\textbackslash &amp; \verb+\textbackslash+ \\
\textbar &amp; \verb+\textbar+ \\
\_ &amp; \verb+\_+ \\
\textendash &amp; \verb+\textendash+ \\
\textemdash &amp; \verb+\textemdash+ \\
\textless &amp; \verb+\textless+ \\
\textgreater &amp; \verb+\textgreater+
\end{tabular}
\\ \hline
\end{tabular}
 
\end{frame}



\begin{frame}[fragile]
\frametitle{TEXT Symbols II}
 
\begin{tabular}{|c|c|} \hline
\begin{tabular}{cl}
\dots &amp;\verb+\dots+ \\
\l &amp; \verb+\l+ \\
\L &amp; \verb+\L+ \\
\o &amp; \verb+\o+ \\
\O &amp; \verb+\O+ \\
\aa &amp; \verb+\aa+ \\
\AA &amp; \verb+\AA+ \\
\ss &amp; \verb+\ss+ \\
\SS &amp; \verb+\SS+ \\
\ae &amp; \verb+\ae+ \\
\AE &amp; \verb+\AE+ \\
\oe &amp; \verb+\oe+ \\
\OE &amp; \verb+\OE+ 
\end{tabular}
&amp;
\begin{tabular}{cl}
\textasciitilde &amp; \verb+\textasciitilde+ \\
\textasciicircum &amp; \verb+\textasciicircum+ \\
\textexclamdown &amp; \verb+\textexclamdown+ \\
\textquestiondown &amp; \verb+\textquestiondown+ \\
\textquoteleft &amp; \verb+\textquoteleft+ \\
\textquoteright &amp; \verb+\textquoteright+ \\
\textquotedblleft &amp; \verb+\textquotedblleft+ \\
\textquotedblright &amp; \verb+\textquotedblright+ \\
\textvisiblespace &amp; \verb+\textvisiblespace+ \\
\textordmasculine &amp; \verb+\textordmasculine+ \\
\textordfeminine &amp; \verb+\textordfeminine+ \\
\textasteriskcentered &amp; \verb+\textasteriskcentered+ \\
\textperiodcentered &amp; \verb+\textperiodcentered+ \\
\end{tabular}
\\ \hline
\end{tabular}
 
\end{frame}



\section[MATH]{Mathematical Symbols}

\subsection[Common]{Common Symbols}

\begin{frame}[fragile]
\frametitle{Common Math Symbols}
\framesubtitle{Some of these symbols may appear at other tables for user convenience}
\vspace{-4mm}
\hspace{-3mm} 
\begin{tabular}{|c|c|c|} \hline
\( \begin{array}{cl}
\neq &amp; \verb+\neq+ \\
\leqslant &amp; \verb+\leqslant+ \\
\geqslant &amp; \verb+\geqslant+ \\
\approx &amp; \verb+\approx+ \\
\equiv &amp; \verb+\equiv+ \\
\cong &amp; \verb+\cong+ \\
\simeq &amp; \verb+\simeq+ \\
\partial &amp; \verb+\partial+ \\
\infty &amp; \verb+\infty+ \\
\nabla &amp; \verb+\nabla+ \\
\aleph &amp; \verb+\aleph+ \\
\ell &amp; \verb+\ell+ \\
\vee &amp; \verb+\vee+ \\
\wedge &amp; \verb+\wedge+ \\
\forall &amp; \verb+\forall+ \\
\exists &amp; \verb+\exists+
\end{array} \)
&amp;
\( \begin{array}{cl}
\pm  &amp;\verb+\pm+ \\
\mp  &amp;\verb+\mp+ \\
\times &amp;\verb+\times+ \\
\div &amp;\verb+\div+ \\
\cup &amp; \verb+\cup+ \\
\cap &amp; \verb+\cap+ \\
\in &amp; \verb+\in+ \\
\notin &amp; \verb+\notin+ \\
\setminus &amp; \verb+\setminus+\\ 
\varnothing &amp; \verb+\varnothing+ \\
\subset &amp; \verb+\subset+ \\
\supset &amp; \verb+\supset+ \\
\cdot &amp; \verb+\cdot+ \\
\centerdot &amp; \verb+\centerdot+ \\
\copyright &amp; \verb+\copyright+ \\
\maltese &amp; \verb+\maltese+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\to &amp; \verb+\to+ \\
\iff &amp; \verb+\iff+ \\
\$ &amp; \verb+\$+ \\
\pounds &amp; \verb+\pounds+ \\
\% &amp; \verb+\%+ \\
\&amp; &amp; \verb+\&amp;+ \\
\{ &amp; \verb+\{+ \\
\} &amp; \verb+\}+ \\
\_ &amp; \verb+\_+ \\
\P &amp; \verb+\P+ \\
\S  &amp; \verb+\S + \\
\ast &amp; \verb+\ast+ \\
\dag &amp; \verb+\dag+ \\
\ddag &amp; \verb+\ddag+ \\
\bullet &amp; \verb+\bullet+ \\
\wr &amp; \verb+\wr+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\subsection[Greek]{Greek Letters}

\begin{frame}[fragile]
\frametitle{Greek Letters}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\alpha &amp; \verb+\alpha+ \\
\beta &amp; \verb+\beta+ \\
\gamma &amp; \verb+\gamma+ \\
\delta &amp; \verb+\delta+ \\
\lambda &amp; \verb+\lambda+ \\
\omega &amp; \verb+\omega+ \\
\psi &amp; \verb+\psi+ \\
\chi &amp; \verb+\chi+ \\
\rho  &amp; \verb+\rho + \\
\epsilon &amp; \verb+\epsilon+ \\
\kappa &amp; \verb+\kappa+ \\
\pi &amp; \verb+\pi+ \\
\phi &amp; \verb+\phi+ \\
\sigma &amp; \verb+\sigma+ \\
\theta &amp; \verb+\theta+ \\
\end{array} \)
&amp;
\( \begin{array}{cl}
\upsilon &amp; \verb+\upsilon+ \\
\xi &amp; \verb+\xi+ \\
\tau &amp; \verb+\tau+ \\
\iota &amp; \verb+\iota+ \\
\eta &amp; \verb+\eta+ \\
\zeta &amp; \verb+\zeta+ \\
\mu&amp; \verb+\mu+ \\
\nu &amp; \verb+\nu+ \\
\varrho &amp; \verb+\varrho+ \\
\varepsilon &amp; \verb+\varepsilon+ \\
\varkappa &amp; \verb+\varkappa+ \\
\varpi &amp; \verb+\varpi+ \\
\varphi &amp; \verb+\varphi+ \\
\varsigma &amp; \verb+\varsigma+ \\
\vartheta &amp; \verb+\vartheta+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\begin{frame}[fragile]
\frametitle{Greek and Hebrew Letters}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\Gamma &amp; \verb+\Gamma+ \\
\Delta &amp; \verb+\Delta+ \\
\Lambda &amp; \verb+\Lambda+ \\
\Omega &amp; \verb+\Omega+ \\
\Pi &amp; \verb+\Pi+ \\
\Phi &amp; \verb+\Phi+ \\
\Psi &amp; \verb+\Psi+ \\
\Sigma &amp; \verb+\Sigma+ \\
\Theta &amp; \verb+\Theta+ \\
\Upsilon &amp; \verb+\Upsilon+ \\
\Xi &amp; \verb+\Xi+ \\
\digamma &amp; \verb+\digamma+  
\end{array} \)
&amp;
\( \begin{array}{cl}
\varGamma &amp; \verb+\varGamma+ \\
\varDelta &amp; \verb+\varDelta+ \\
\varLambda &amp; \verb+\varLambda+ \\
\varOmega &amp; \verb+\varOmega+ \\
\varPi &amp; \verb+\varPi+ \\
\varPhi &amp; \verb+\varPhi+ \\
\varPsi &amp; \verb+\varPsi+ \\
\varSigma &amp; \verb+\varSigma+ \\
\varTheta &amp; \verb+\varTheta+ \\
\varUpsilon &amp; \verb+\varUpsilon+ \\
\varXi &amp; \verb+\varXi+ \\
 &amp; \verb++ 
\end{array} \)
\\ \hline
\end{tabular}

\vspace{2mm}

\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\aleph &amp; \verb+\aleph+ \\
\beth &amp; \verb+\beth+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\gimel &amp; \verb+\gimel+ \\
\daleth &amp; \verb+\daleth+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\subsection[Binary]{Binary Operations and Relations}

\begin{frame}[fragile]
\frametitle{Binary Operations I}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\oplus &amp; \verb+\oplus+ \\
\ominus &amp; \verb+\ominus+ \\
\otimes &amp; \verb+\otimes+ \\
\odot &amp; \verb+\odot+ \\
\oslash &amp; \verb+\oslash+ \\
\circ &amp; \verb+\circ+ \\
\bigcirc &amp; \verb+\bigcirc+ \\
\circledcirc &amp; \verb+\circledcirc+ \\
\circleddash &amp; \verb+\circleddash+ \\
\circledast &amp; \verb+\circledast+ \\ 
\amalg &amp; \verb+\amalg+ \\
\cup &amp; \verb+\cup+ \\
\Cup &amp; \verb+\Cup+ \\
\sqcup &amp; \verb+\sqcup+ \\
\leftthreetimes &amp; \verb+\leftthreetimes+ \\
\uplus &amp; \verb+\uplus+ \\
\end{array} \)
&amp;
\( \begin{array}{cl}
\boxplus &amp; \verb+\boxplus+ \\
\boxminus &amp; \verb+\boxminus+ \\
\boxtimes &amp; \verb+\boxtimes+ \\
\boxdot &amp; \verb+\boxdot+ \\
\divideontimes &amp; \verb+\divideontimes+ \\
\intercal &amp; \verb+\intercal+ \\
\dotplus &amp; \verb+\dotplus+ \\
\setminus &amp; \verb+\setminus+ \\
\smallsetminus &amp; \verb+\smallsetminus+ \\
\centerdot &amp; \verb+\centerdot+ \\
\diamond &amp; \verb+\diamond+ \\
\cap &amp; \verb+\cap+ \\
\Cap &amp; \verb+\Cap+ \\
\sqcap &amp; \verb+\sqcap+ \\
\rightthreetimes &amp; \verb+\rightthreetimes+ \\
\backepsilon   &amp; \verb+\backepsilon+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\begin{frame}[fragile]
\frametitle{Binary Operations II}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\vee &amp; \verb+\vee+ \\
\curlyvee &amp; \verb+\curlyvee+ \\
\veebar &amp; \verb+\veebar+ \\
\ltimes &amp; \verb+\ltimes+ \\
\rtimes &amp; \verb+\rtimes+ \\
\dashv &amp; \verb+\dashv+ \\
\vdash &amp; \verb+\vdash+ \\
\vDash &amp; \verb+\vDash+  \\
\Vdash &amp; \verb+\Vdash+ \\
\models &amp; \verb+\models+ \\
\Vvdash &amp; \verb+\Vvdash+ \\
\bowtie &amp; \verb+\bowtie+ \\
\Join &amp; \verb+\Join+ \\
\because &amp; \verb+\because+ \\
\therefore &amp; \verb+\therefore+ \\
\And &amp; \verb+\And+
\end{array} \)
&amp;
\( \begin{array}{cl}
\wedge &amp; \verb+\wedge+ \\
\curlywedge &amp; \verb+\curlywedge+ \\
\barwedge &amp; \verb+\barwedge+ \\
\doublebarwedge &amp; \verb+\doublebarwedge+ \\
\dagger &amp; \verb+\dagger+ \\
\ddagger &amp; \verb+\ddagger+ \\
\nvdash &amp; \verb+\nvdash+ \\
\nvDash &amp; \verb+\nvDash+ \\
\nVdash &amp; \verb+\nVdash+ \\
\nVDash &amp; \verb+\nVDash+ \\
\pitchfork &amp; \verb+\pitchfork+ \\
\smile &amp; \verb+\smile+ \\
\smallsmile &amp; \verb+\smallsmile+ \\
\frown &amp; \verb+\frown+ \\
\smallfrown &amp; \verb+\smallfrown+ \\
\bullet &amp; \verb+\bullet+
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}


\begin{frame}[fragile]
\frametitle{Binary Relations I}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\cong &amp; \verb+\cong+ \\[2mm]
\preccurlyeq &amp; \verb+\preccurlyeq+ \\[2mm]
\curlyeqprec &amp; \verb+\curlyeqprec+ \\[2mm]
\prec &amp; \verb+\prec+ \\[2mm]
\preceq &amp; \verb+\preceq+ \\[2mm]
\precapprox &amp; \verb+\precapprox+ \\[2mm]
\precsim &amp; \verb+\precsim+ \\[2mm]
\succ &amp; \verb+\succ+ \\[2mm]
\succeq &amp; \verb+\succeq+ \\[2mm]
\succapprox &amp; \verb+\succapprox+ \\[2mm]
\succsim &amp; \verb+\succsim+
\end{array} \)
&amp;
\( \begin{array}{cl}
\ncong &amp; \verb+\ncong+ \\[2mm]
\succcurlyeq &amp; \verb+\succcurlyeq+ \\[2mm]
\curlyeqsucc &amp; \verb+\curlyeqsucc+ \\[2mm]
\nprec &amp; \verb+\nprec+ \\[2mm]
\npreceq &amp; \verb+\npreceq+ \\[2mm]
\precnapprox &amp; \verb+\precnapprox+ \\[2mm]
\precnsim &amp; \verb+\precnsim+ \\[2mm]
\nsucc &amp; \verb+\nsucc+ \\[2mm]
\nsucceq &amp; \verb+\nsucceq+ \\[2mm]
\succnapprox &amp; \verb+\succnapprox+\\[2mm]
\succnsim &amp; \verb+\succnsim+
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}



\begin{frame}[fragile]
\frametitle{Binary Relations II}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\mid &amp; \verb+\mid+ \\
\shortmid &amp; \verb+\shortmid+ \\
\parallel &amp; \verb+\parallel+ \\
\shortparallel &amp; \verb+\shortparallel+ \\
\sim &amp; \verb+\sim+ \\
\thicksim &amp; \verb+\thicksim+ \\
\simeq &amp; \verb+\simeq+ \\
\backsim &amp; \verb+\backsim+ \\
\backsimeq &amp; \verb+\backsimeq+ \\
\approx &amp; \verb+\approx+ \\
\thickapprox &amp; \verb+\thickapprox+ \\
\approxeq &amp; \verb+\approxeq+ \\
\equiv &amp; \verb+\equiv+ \\
\propto &amp; \verb+\propto+ \\
\varpropto &amp; \verb+\varpropto+ \\
\multimap &amp; \verb+\multimap+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\nmid &amp; \verb+\nmid+ \\
\nshortmid &amp; \verb+\nshortmid+ \\
\nparallel &amp; \verb+\nparallel+ \\
\nshortparallel &amp; \verb+\nshortparallel+ \\
\nsim &amp; \verb+\nsim+ \\
\doteq &amp; \verb+\doteq+ \\
\doteqdot &amp; \verb+\doteqdot+ \\
\between &amp; \verb+\between+ \\
\asymp &amp; \verb+\asymp+ \\
\fallingdotseq &amp; \verb+\fallingdotseq+ \\
\risingdotseq &amp; \verb+\risingdotseq+ \\
\bumpeq &amp; \verb+\bumpeq+ \\
\Bumpeq &amp; \verb+\Bumpeq+ \\
\circeq &amp; \verb+\circeq+ \\
\eqcirc &amp; \verb+\eqcirc+ \\
\perp &amp; \verb+\perp+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}


\subsection{Subsets}
\begin{frame}[fragile]
\frametitle{Subset Relations}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\subset &amp; \verb+\subset+ \\[1mm]
\subseteq &amp; \verb+\subseteq+ \\[1mm]
\subseteqq &amp; \verb+\subseteqq+ \\[1mm]
\sqsubset &amp; \verb+\sqsubset+ \\[1mm]
\sqsubseteq &amp; \verb+\sqsubseteq+ \\[1mm]
\Subset &amp; \verb+\Subset+ \\[1mm]
\nsubseteq &amp; \verb+\nsubseteq+ \\[1mm]
\subsetneq &amp; \verb+\subsetneq+ \\[1mm]
\varsubsetneq &amp; \verb+\varsubsetneq+ \\[1mm]
\nsubseteqq &amp; \verb+\nsubseteqq+ \\[1mm]
\subsetneqq &amp; \verb+\subsetneqq+ \\[1mm]
\varsubsetneqq &amp; \verb+\varsubsetneqq+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\supset &amp; \verb+\supset+ \\[1mm]
\supseteq &amp; \verb+\supseteq+ \\[1mm]
\supseteqq &amp; \verb+\supseteqq+ \\[1mm]
\sqsupset &amp; \verb+\sqsupset+ \\[1mm]
\sqsupseteq &amp; \verb+\sqsupseteq+ \\[1mm]
\Supset &amp; \verb+\Supset+ \\[1mm]
\nsupseteq &amp; \verb+\nsupseteq+ \\[1mm]
\supsetneq &amp; \verb+\supsetneq+ \\[1mm]
\varsupsetneq &amp; \verb+\varsupsetneq+ \\[1mm]
\nsupseteqq &amp; \verb+\nsupseteqq+ \\[1mm]
\supsetneqq &amp; \verb+\supsetneqq+ \\[1mm]
\varsupsetneqq &amp; \verb+\varsupsetneqq+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}

\subsection{Inequalities}

\begin{frame}[fragile]
\frametitle{Inequalities I}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
&lt; &amp; \verb+&lt;+ \\[1.5mm]
&gt; &amp; \verb+&gt;+ \\[1.5mm]
\leqslant &amp; \verb+\leqslant+ \\[1.5mm]
\geqslant &amp; \verb+\geqslant+ \\[1.5mm]
\leq &amp; \verb+\leq+ \\[1.5mm]
\geq &amp; \verb+\geq+ \\[1.5mm]
\leqq &amp; \verb+\leqq+ \\[1.5mm]
\geqq &amp; \verb+\geqq+ \\[1.5mm]
\eqslantless &amp; \verb+\eqslantless+ \\[1.5mm]
\eqslantgtr &amp; \verb+\eqslantgtr+ \\[1.5mm]
\lneq &amp; \verb+\lneq+ \\[1.5mm]
\gneq &amp; \verb+\gneq+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\nless &amp; \verb+\nless+ \\[1.5mm]
\ngtr &amp; \verb+\ngtr+ \\[1.5mm]
\nleqslant &amp; \verb+\nleqslant+ \\[1.5mm]
\ngeqslant &amp; \verb+\ngeqslant+ \\[1.5mm]
\nleq &amp; \verb+\nleq+ \\[1.5mm]
\ngeq &amp; \verb+\ngeq+ \\[1.5mm]
\nleqq &amp; \verb+\nleqq+ \\[1.5mm]
\ngeqq &amp; \verb+\ngeqq+ \\[1.5mm]
\lneqq &amp; \verb+\lneqq+ \\[1.5mm]
\gneqq &amp; \verb+\gneqq+ \\[1.5mm]
\lvertneqq &amp; \verb+\lvertneqq+ \\[1.5mm]
\gvertneqq &amp; \verb+\gvertneqq+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}

\begin{frame}[fragile]
\frametitle{Inequalities II}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\ll &amp; \verb+\ll+ \\[2.2mm]
\gg &amp; \verb+\gg+ \\[2.2mm]
\lesssim &amp; \verb+\lesssim+ \\[2.2mm]
\gtrsim &amp; \verb+\gtrsim+ \\[2.2mm]
\lessapprox &amp; \verb+\lessapprox+ \\[2.2mm]
\gtrapprox &amp; \verb+\gtrapprox+ \\[2.2mm]
\lessgtr &amp; \verb+\lessgtr+ \\[2.2mm]
\gtrless &amp; \verb+\gtrless+ \\[2.2mm]
\lesseqgtr &amp; \verb+\lesseqgtr+ \\[2.2mm]
\gtreqless &amp; \verb+\gtreqless+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\lll &amp; \verb+\lll+ \\[2.2mm]
\ggg &amp; \verb+\ggg+ \\[2.2mm]
\lnsim &amp; \verb+\lnsim+ \\[2.2mm]
\gnsim &amp; \verb+\gnsim+ \\[2.2mm]
\lnapprox &amp; \verb+\lnapprox+ \\[2.2mm]
\gnapprox &amp; \verb+\gnapprox+ \\[2.2mm]
\lessdot &amp; \verb+\lessdot+ \\[2.2mm]
\gtrdot &amp; \verb+\gtrdot+ \\[2.2mm]
\lesseqqgtr &amp; \verb+\lesseqqgtr+ \\[2.2mm]
\gtreqqless &amp; \verb+\gtreqqless+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}



\subsection{Triangles}
\begin{frame}[fragile]
\frametitle{Triangular Relations\\ Harpoons}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\bigtriangleup &amp; \verb+\bigtriangleup+ \\ 
\triangleright &amp; \verb+\triangleright+ \\
\ntriangleright &amp; \verb+\ntriangleright+ \\
\vartriangleright &amp; \verb+\vartriangleright+ \\ 
\rhd &amp; \verb+\rhd+ \\
\unrhd &amp; \verb+\unrhd+ \\
\trianglerighteq &amp; \verb+\trianglerighteq+ \\
\ntrianglerighteq &amp; \verb+\ntrianglerighteq+ \\
\blacktriangleright &amp; \verb+\blacktriangleright+ \\
\triangleq &amp; \verb+\triangleq+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\bigtriangledown &amp; \verb+\bigtriangledown+ \\
\triangleleft &amp; \verb+\triangleleft+ \\
\ntriangleleft &amp; \verb+\ntriangleleft+ \\
\vartriangleleft &amp; \verb+\vartriangleleft+ \\
\lhd &amp; \verb+\lhd+ \\
\unlhd &amp; \verb+\unlhd+ \\
\trianglelefteq &amp; \verb+\trianglelefteq+ \\
\ntrianglelefteq &amp; \verb+\ntrianglelefteq+ \\
\blacktriangleleft &amp; \verb+\blacktriangleleft+ \\
 &amp; \verb++ 
\end{array} \)
\\ \hline
\end{tabular}

\vspace{3mm}

\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\rightharpoonup &amp; \verb+\rightharpoonup+ \\
\rightharpoondown &amp; \verb+\rightharpoondown+ \\
\rightleftharpoons &amp; \verb+\rightleftharpoons+ \hspace{5pt} \\
\upharpoonright &amp; \verb+\upharpoonright+ \\
\downharpoonright &amp; \verb+\downharpoonright+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\leftharpoonup &amp; \verb+\leftharpoonup+ \\
\leftharpoondown &amp; \verb+\leftharpoondown+ \\
\leftrightharpoons &amp; \verb+\leftrightharpoons+ \\
\upharpoonleft &amp; \verb+\upharpoonleft+ \\
\downharpoonleft &amp; \verb+\downharpoonleft+
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\subsection{Arrows}

\begin{frame}[fragile]
\frametitle{Arrows I}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\rightarrow &amp; \verb+\rightarrow+ \\
\Rightarrow &amp; \verb+\Rightarrow+ \\
\longrightarrow &amp; \verb+\longrightarrow+ \\
\Longrightarrow &amp; \verb+\Longrightarrow+ \\
\uparrow &amp; \verb+\uparrow+ \\
\Uparrow &amp; \verb+\Uparrow+ \\
\nrightarrow &amp; \verb+\nrightarrow+ \\
\nRightarrow &amp; \verb+\nRightarrow+ \\
\updownarrow &amp; \verb+\updownarrow+ \\
\Updownarrow &amp; \verb+\Updownarrow+ \\
\nearrow &amp; \verb+\nearrow+ \\
\nwarrow &amp; \verb+\nwarrow+ \\
\swarrow &amp; \verb+\swarrow+ \\
\searrow &amp; \verb+\searrow+ \\
\iff &amp; \verb+\iff+
\end{array} \)\hspace{-2mm}
&amp;
\( \begin{array}{cl}
\leftarrow &amp; \verb+\leftarrow+ \\
\Leftarrow  &amp; \verb+\Leftarrow+ \\
\longleftarrow &amp; \verb+\longleftarrow+ \\
\Longleftarrow &amp; \verb+\Longleftarrow+ \\
\downarrow &amp; \verb+\downarrow+ \\
\Downarrow &amp; \verb+\Downarrow+ \\
\nleftarrow &amp; \verb+\nleftarrow+ \\
\nLeftarrow &amp; \verb+\nLeftarrow+ \\
\nleftrightarrow &amp; \verb+\nleftrightarrow+ \\
\nLeftrightarrow  &amp; \verb+\nLeftrightarrow + \\
\leftrightarrow &amp; \verb+\leftrightarrow+ \\
\Leftrightarrow &amp; \verb+\Leftrightarrow+ \\
\longleftrightarrow &amp; \verb+\longleftrightarrow+ \\
\Longleftrightarrow &amp; \verb+\Longleftrightarrow+ \\
\leftrightsquigarrow &amp; \verb+\leftrightsquigarrow+ 
\end{array} \)\hspace{-2mm}
\\ \hline
\end{tabular}
 
\end{frame}


\begin{frame}[fragile]
\frametitle{Arrows II}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\rightrightarrows &amp; \verb+\rightrightarrows+ \\
\rightleftarrows &amp; \verb+\rightleftarrows+ \\
\Rrightarrow  &amp; \verb+\Rrightarrow + \\
\hookrightarrow &amp; \verb+\hookrightarrow+ \\
\rightarrowtail &amp; \verb+\rightarrowtail+ \\
\looparrowright &amp; \verb+\looparrowright+ \\
\twoheadrightarrow &amp; \verb+\twoheadrightarrow+ \\
\curvearrowright &amp; \verb+\curvearrowright+ \\
\circlearrowright &amp; \verb+\circlearrowright+ \\
\dashrightarrow   &amp; \verb+\dashrightarrow  + \\
\Rsh &amp; \verb+\Rsh+ \\
\upuparrows &amp; \verb+\upuparrows+ \\
\mapsto &amp; \verb+\mapsto+ \\
\longmapsto &amp; \verb+\longmapsto+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\leftleftarrows &amp; \verb+\leftleftarrows+ \\
\leftrightarrows &amp; \verb+\leftrightarrows+ \\
\Lleftarrow  &amp; \verb+\Lleftarrow + \\
\hookleftarrow &amp; \verb+\hookleftarrow+ \\
\leftarrowtail &amp; \verb+\leftarrowtail+ \\
\looparrowleft &amp; \verb+\looparrowleft+ \\
\twoheadleftarrow &amp; \verb+\twoheadleftarrow+ \\
\curvearrowleft &amp; \verb+\curvearrowleft+ \\
\circlearrowleft &amp; \verb+\circlearrowleft+ \\
\dashleftarrow &amp; \verb+\dashleftarrow+ \\
\Lsh &amp; \verb+\Lsh+ \\
\downdownarrows &amp; \verb+\downdownarrows+ \\
\rightsquigarrow &amp; \verb+\rightsquigarrow+ \\
\leadsto &amp; \verb+\leadsto+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\subsection[Operators]{Mathematical Operators}

\begin{frame}[fragile]
\frametitle{Mathematical Operators}
\framesubtitle{The following operators have two different sizes}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{ccl}
\ds\prod&amp;\prod &amp; \verb+\prod+ \\[3mm]
\ds\sum&amp;\sum &amp; \verb+\sum+ \\[3mm]
\ds\int&amp;\int &amp; \verb+\int+ \\[3mm]
\ds\oint&amp;\oint &amp; \verb+\oint+ \\[3mm]
\ds\iint&amp;\iint &amp; \verb+\iint+ \\[3mm]
\ds\iiint&amp;\iiint &amp; \verb+\iiint+ \\[3mm]
\ds\iiiint&amp;\iiiint &amp; \verb+\iiiint+ \\[3mm]
\ds\idotsint&amp;\idotsint &amp; \verb+\idotsint+ 
\end{array} \)
&amp;
\( \begin{array}{ccl}
\ds\coprod&amp;\coprod &amp; \verb+\coprod+ \\[2mm]
\ds\bigcup&amp;\bigcup &amp; \verb+\bigcup+ \\[2mm]
\ds\bigcap&amp;\bigcap &amp; \verb+\bigcap+ \\[2mm]
\ds\biguplus&amp;\biguplus &amp; \verb+\biguplus+ \\[2mm]
\ds\bigsqcup&amp;\bigsqcup &amp; \verb+\bigsqcup+ \\[2mm]
\ds\bigvee&amp;\bigvee &amp; \verb+\bigvee+ \\[2mm]
\ds\bigwedge&amp;\bigwedge &amp; \verb+\bigwedge+ \\[2mm]
\ds\bigoplus&amp;\bigoplus &amp; \verb+\bigoplus+ \\[2mm]
\ds\bigotimes&amp;\bigotimes &amp; \verb+\bigotimes+ \\[2mm]
\ds\bigodot&amp;\bigodot &amp; \verb+\bigodot+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}

\subsection[Functions]{Mathematical Functions}

\begin{frame}[fragile]
\frametitle{Mathematical Functions I}
\begin{block}{Pure Functions}
Please note that $sin x$ (\verb+sin x+) and $\sin x$ (\verb+\sin x+) look totally different.
\end{block}

\vspace{2mm}

\begin{tabular}{|c|c|c|} \hline
\( \begin{array}{ll}
\sin &amp; \verb+\sin+ \\[1mm] 
\cos &amp; \verb+\cos+ \\[1mm]
\tan &amp; \verb+\tan+ \\[1mm]
\cot &amp; \verb+\cot+ \\[1mm]
\sec &amp; \verb+\sec+ \\[1mm]
\csc &amp; \verb+\csc+ \\[1mm]
\ln &amp; \verb+\ln+ \\[1mm]
\dim &amp; \verb+\dim+ \\[1mm]
\deg &amp; \verb+\deg+ 
\end{array} \)
&amp;
\( \begin{array}{ll}
\arcsin &amp; \verb+\arcsin+ \\[1mm]
\arccos &amp; \verb+\arccos+ \\[1mm]
\arctan &amp; \verb+\arctan+ \\[1mm]
\arg &amp; \verb+\arg+ \\[1mm]
m \mod n &amp; \verb+m\mod n+ \\[1mm]
m \bmod n &amp; \verb+m\bmod n+ \\[1mm]
m \pmod n &amp; \verb+m\pmod n+ \\[1mm]
m \pod n &amp; \verb+m\pod n+ \\[1mm]
 &amp; \verb++
\end{array} \)
&amp;
\( \begin{array}{ll}
\sinh &amp; \verb+\sinh+ \\[1mm]
\cosh &amp; \verb+\cosh+ \\[1mm]
\tanh &amp; \verb+\tanh+ \\[1mm]
\coth &amp; \verb+\coth+ \\[1mm]
\lg &amp; \verb+\lg+ \\[1mm]
\log &amp; \verb+\log+ \\[1mm]
\exp &amp; \verb+\exp+ \\[1mm]
\hom &amp; \verb+\hom+ \\[1mm]
\ker &amp; \verb+\ker+ \\[1mm]
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}

\begin{frame}[fragile]
\frametitle{Mathematical Functions II}
\begin{block}{Functions with Limits}
The following functions may take limits below: $\ds \lim_{x \to 0}$ \\ This is written as: \verb+\lim_{x \to 0}+
\end{block}

\vspace{2mm}

\begin{tabular}{|c|c|} \hline
\( \begin{array}{ll}
 \min &amp; \verb+\min+ \\[1mm]
 \max &amp; \verb+\max+ \\[1mm]
 \inf &amp; \verb+\inf+ \\[1mm]
 \sup &amp; \verb+\sup+ \\[1mm]
 \det &amp; \verb+\det+ \\[1mm]
 \gcd &amp; \verb+\gcd+ \\[1mm]
  \Pr &amp; \verb+\Pr+ \\[1mm]
 \lim &amp; \verb+\lim+ 
\end{array} \)
&amp;
\( \begin{array}{ll}
 \liminf &amp; \verb+\liminf+ \\[1mm]
 \varliminf &amp; \verb+\varliminf+ \\[1mm]
 \limsup &amp; \verb+\limsup+ \\[1mm]
 \varlimsup &amp; \verb+\varlimsup+ \\[1mm]
 \injlim &amp; \verb+\injlim+ \\[1mm]
 \varinjlim &amp; \verb+\varinjlim+ \\[1mm]
 \projlim &amp; \verb+\projlim+ \\[1mm]
 \varprojlim &amp; \verb+\varprojlim+ 
 \end{array} \)
\\ \hline
\end{tabular}
\end{frame}


\subsection[Miscel.]{Miscellaneous Symbols}

\begin{frame}[fragile]
\frametitle{Miscellaneous Symbols I}

\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\Im &amp; \verb+\Im+ \\
\Re &amp; \verb+\Re+ \\
\wp &amp; \verb+\wp+ \\
\top &amp; \verb+\top+ \\
\bot &amp; \verb+\bot+ \\
\forall &amp; \verb+\forall+ \\
\exists &amp; \verb+\exists+ \\
\nexists &amp; \verb+\nexists+ \\
\neg &amp; \verb+\neg+ \\
\in &amp; \verb+\in+ \\
\notin &amp; \verb+\notin+ \\
\ni &amp; \verb+\ni+ \\
\complement &amp; \verb+\complement+ \\
\hbar &amp; \verb+\hbar+ \\
\hslash &amp; \verb+\hslash+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\ell &amp; \verb+\ell+ \\
\partial &amp; \verb+\partial+ \\
\eth &amp; \verb+\eth+ \\
\imath &amp; \verb+\imath+ \\
\jmath &amp; \verb+\jmath+ \\
\Bbbk &amp; \verb+\Bbbk+ \\
\Finv &amp; \verb+\Finv+ \\
\Game &amp; \verb+\Game+ \\
\infty &amp; \verb+\infty+ \\
\emptyset &amp; \verb+\emptyset+ \\
\varnothing &amp; \verb+\varnothing+ \\
\angle &amp; \verb+\angle+ \\
\measuredangle &amp; \verb+\measuredangle+ \\
\sphericalangle &amp; \verb+\sphericalangle+ \\
\smallint &amp; \verb+\smallint+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\begin{frame}[fragile]
\frametitle{Miscellaneous Symbols II}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\nabla &amp; \verb+\nabla+ \\
\mho &amp; \verb+\mho+ \\
\square &amp; \verb+\square+ \\
\Box &amp; \verb+\Box+ \\
\triangle &amp; \verb+\triangle+ \\
\vartriangle &amp; \verb+\vartriangle+ \\
\triangledown &amp; \verb+\triangledown+ \\
\lozenge &amp; \verb+\lozenge+ \\
\surd &amp; \verb+\surd+ \\
\checkmark &amp; \verb+\checkmark+ \\
\sharp &amp; \verb+\sharp+ \\
\natural &amp; \verb+\natural+ \\
\flat &amp; \verb+\flat+ \\
\prime &amp; \verb+\prime+ \\
\backprime &amp; \verb+\backprime+ \\
\mapstochar &amp; \verb+\mapstochar+ \\
\end{array} \)
&amp;
\( \begin{array}{cl}
\backslash &amp; \verb+\backslash+ \\
\diagdown &amp; \verb+\diagdown+ \\
\diagup &amp; \verb+\diagup+ \\
\blacksquare &amp; \verb+\blacksquare+ \\
\Diamond &amp; \verb+\Diamond+ \\
\blacktriangle &amp; \verb+\blacktriangle+ \\
\blacktriangledown &amp; \verb+\blacktriangledown+ \\
\blacklozenge &amp; \verb+\blacklozenge+ \\
\heartsuit &amp; \verb+\heartsuit+ \\
\diamondsuit &amp; \verb+\diamondsuit+ \\
\spadesuit &amp; \verb+\spadesuit+ \\
\clubsuit &amp; \verb+\clubsuit+ \\
\star &amp; \verb+\star+ \\
\bigstar &amp; \verb+\bigstar+ \\
\circledR &amp; \verb+\circledR+ \\
\circledS &amp; \verb+\circledS+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}


\subsection[Alphabet]{Mathematical Alphabets}

\begin{frame}[fragile]
\frametitle{Mathematical Alphabets I}

\( \begin{array}{|l|l|} \hline
\begin{array}{l}
 \\[-3mm]
\mathnormal{ABCDEFGHIJKLMN}  \\
\mathnormal{OPQRSTUVWXYZ} \\[1mm]
\mathnormal{abcdefghijklmnopqrstuvwxyz}\\
\mathnormal{1234567890} \\[1mm]
\end{array}
&amp; \verb+\mathnormal{...}+ \\ \hline
\begin{array}{l}
 \\[-3mm]
\mathrm{ABCDEFGHIJKLMN}  \\
\mathrm{OPQRSTUVWXYZ} \\[1mm]
\mathrm{abcdefghijklmnopqrstuvwxyz}\\
\mathrm{1234567890} \\[1mm]
\end{array}
&amp; \verb+\mathrm{...}+ \\ \hline
\begin{array}{l}
 \\[-3mm]
\mathsf{ABCDEFGHIJKLMN}  \\
\mathsf{OPQRSTUVWXYZ} \\[1mm]
\mathsf{abcdefghijklmnopqrstuvwxyz}\\
\mathsf{1234567890} \\[1mm]
\end{array} 
&amp; \verb+\mathsf{...}+ \\ \hline
\end{array} \)
 
\end{frame}


\begin{frame}[fragile]
\frametitle{Mathematical Alphabets II}

\( \begin{array}{|l|l|} \hline
\begin{array}{l}
 \\[-3mm]
\mathbf{ABCDEFGHIJKLMN}  \\
\mathbf{OPQRSTUVWXYZ} \\[1mm]
\mathbf{abcdefghijklmnopqrstuvwxyz}\\
\mathbf{1234567890} \\[1mm]
\end{array}
&amp; \verb+\mathbf{...}+ \\ \hline
\begin{array}{l}
 \\[-3mm]
\mathit{ABCDEFGHIJKLMN}  \\
\mathit{OPQRSTUVWXYZ} \\[1mm]
\mathit{abcdefghijklmnopqrstuvwxyz}\\
\mathit{1234567890} \\[1mm]
\end{array}
&amp; \verb+\mathit{...}+ \\ \hline
\begin{array}{l}
 \\[-3mm]
\mathtt{ABCDEFGHIJKLMN}  \\
\mathtt{OPQRSTUVWXYZ} \\[1mm]
\mathtt{abcdefghijklmnopqrstuvwxyz}\\
\mathtt{1234567890} \\[1mm]
\end{array}
&amp; \verb+\mathtt{...}+ \\ \hline
\end{array} \)
 
\end{frame}


\begin{frame}[fragile]
\frametitle{Mathematical Alphabets III}

\( \begin{array}{|l|l|} \hline
\begin{array}{l}
 \\[-2mm]
\mathfrak{ABCDEFGHIJKLMN}  \\
\mathfrak{OPQRSTUVWXYZ} \\[1mm]
\mathfrak{abcdefghijklmnopqrstuvwxyz}\\
\mathfrak{1234567890} \\[2mm]
\end{array}
&amp; \verb+\mathfrak{...}+ \\ \hline
\begin{array}{l}
 \\[-2mm]
\boldsymbol{ABCDEFGHIJKLMN}  \\
\boldsymbol{OPQRSTUVWXYZ} \\[1mm]
\boldsymbol{abcdefghijklmnopqrstuvwxyz}\\
\boldsymbol{1234567890} \\[1mm]
\boldsymbol{\alpha \beta \pi \theta \Phi \Psi \Omega \ldots}  \\
\boldsymbol{\in \hbar \partial \nabla \leftarrow \infty \varnothing \Box \ldots} \\[2mm]
\end{array}
&amp; \verb+\boldsymbol{...}+ \\ \hline
\end{array} \)
 
\end{frame}

\begin{frame}[fragile]
\frametitle{Mathematical Alphabets IV}

\( \begin{array}{|l|l|} \hline
\begin{array}{l}
 \\[-2mm]
\mathscr{ABCDEFGHIJKLMN}  \\
\mathscr{OPQRSTUVWXYZ} \\[2mm]
\mbox{(Include \upc{mathrsfs} } \\
\mbox{before \bd)} \\[2mm]
\end{array}
&amp; \verb+\mathscr{...}+ \\ \hline
\begin{array}{l}
 \\[-2mm]
\mathcal{ABCDEFGHIJKLMN}  \\
\mathcal{OPQRSTUVWXYZ} \\[2mm]
\end{array}
&amp; \verb+\mathcal{...}+ \\ \hline
\begin{array}{l}
 \\[-2mm]
\mathbb{ABCDEFGHIJKLMN}  \\
\mathbb{OPQRSTUVWXYZ} \\[2mm]
\end{array}
&amp; \verb+\mathbb{...}+ \\ \hline
\end{array} \)
\end{frame}



\subsection{Brackets}

\begin{frame}[fragile]
\frametitle{Brackets}
\framesubtitle{These are variable sized}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\left( \right. &amp; \verb+(+ \\[1mm]
\left[ \right. &amp; \verb+[+ \\[1mm]
\vert &amp; \verb+\vert+ \\[1mm]
\{ &amp; \verb+\{+ \\[1mm] 
\langle &amp; \verb+\langle+ \\[1mm]
\lceil &amp; \verb+\lceil+ \\[1mm]
\lfloor &amp; \verb+\lfloor+ \\[1mm]
\lgroup &amp; \verb+\lgroup+ \\[1mm]
\lvert &amp; \verb+\lvert+ \\[1mm]
\lVert &amp; \verb+\lVert+ \\[1mm]
\lmoustache &amp; \verb+\lmoustache+ \\[1mm]
\arrowvert &amp; \verb+\arrowvert+ \\[1mm]
\backslash &amp; \verb+\backslash+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\left. \right) &amp; \verb+)+ \\[1mm]
\left. \right] &amp; \verb+]+ \\[1mm]
\Vert &amp; \verb+\Vert+ \\[1mm]
\} &amp; \verb+\}+ \\[1mm]
\rangle &amp; \verb+\rangle+ \\[1mm]
\rceil &amp; \verb+\rceil+ \\[1mm]
\rfloor &amp; \verb+\rfloor+ \\[1mm]
\rgroup &amp; \verb+\rgroup+ \\[1mm]
\rvert &amp; \verb+\rvert+ \\[1mm]
\rVert &amp; \verb+\rVert+ \\[1mm]
\rmoustache &amp; \verb+\rmoustache+ \\[1mm]
\Arrowvert &amp; \verb+\Arrowvert+ \\[1mm]
\bracevert &amp; \verb+\bracevert+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}



\begin{frame}[fragile]
\frametitle{Brackets - Math Accents}
 
\begin{tabular}{|l|l|} \hline
\( \begin{array}{cl}
\ulcorner &amp; \verb+\ulcorner+ \\[1mm]
\llcorner &amp; \verb+\llcorner+ \\[1mm]
\uparrow &amp; \verb+\uparrow+ \\[1mm]
\downarrow &amp; \verb+\downarrow+ \\[1mm]
\updownarrow &amp; \verb+\updownarrow+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
\urcorner &amp; \verb+\urcorner+ \\[1mm]
\lrcorner &amp; \verb+\lrcorner+ \\[1mm]
\Uparrow &amp; \verb+\Uparrow+ \\[1mm]
\Downarrow &amp; \verb+\Downarrow+ \\[1mm]
\Updownarrow &amp; \verb+\Updownarrow+ 
\end{array} \) \\ \hline
\end{tabular}

\vspace{3mm}

\begin{tabular}{|l|l|} \hline
\( \begin{array}{cl}
 &amp; \\[-3mm]
\tilde{a} &amp; \verb+\tilde{a}+ \\[1mm]
\hat{a} &amp; \verb+\hat{a}+ \\[1mm]
\check{a} &amp; \verb+\check{a}+ \\[1mm]
\vec{a} &amp; \verb+\vec{a}+ \\[1mm]
\bar{a} &amp; \verb+\bar{a}+ \\[1mm]
\acute{a} &amp; \verb+\acute{a}+ \\[1mm]
\grave{a} &amp; \verb+\grave{a}+ 
\end{array} \)
&amp;
\( \begin{array}{cl}
 &amp; \\[-3mm]
\breve{a} &amp; \verb+\breve{a}+ \\[1mm]
\dot{a} &amp; \verb+\dot{a}+ \\[1mm]
\ddot{a} &amp; \verb+\ddot{a}+ \\[1mm]
\dddot{a} &amp; \verb+\dddot{a}+ \\[1mm]
\ddddot{a} &amp; \verb+\ddddot{a}+ \\[1mm]
\mathring{a} &amp; \verb+\mathring{a}+ \\[1mm]
 &amp; 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\subsection{Dots}

\begin{frame}[fragile]
\frametitle{Dots}

\( \begin{array}{|l|l|l|} \hline
\ldots &amp; \verb+\ldots+ &amp;\mbox{lower dots} \\
\cdots &amp; \verb+\cdots+ &amp;\mbox{center dots} \\
\ddots &amp; \verb+\ddots+ &amp;\mbox{diagonal dots} \\
\vdots &amp; \verb+\vdots+ &amp;\mbox{vertical dots} \\
\dotfill &amp; \verb+\dotfill+ &amp;\mbox{fill with dots} \\
\dots &amp; \verb+\dots+ &amp;\mbox{lower or center} \\
\dotsm &amp; \verb+\dotsm+ &amp;\mbox{multiplication} \\
\dotsi &amp; \verb+\dotsi+ &amp;\mbox{dots for integrals} \\
\dotsb &amp; \verb+\dotsb+ &amp;\mbox{dots for binary op.} \\
\dotsc &amp; \verb+\dotsc+ &amp;\mbox{dots after commas} \\
\dotso &amp; \verb+\dotso+ &amp;\mbox{other dots} \\
\ldotp &amp; \verb+\ldotp+ &amp; \\
\cdotp &amp; \verb+\cdotp+ &amp; \\
\colon \phantom{ACDE} &amp; \verb+\colon+ &amp; \\ \hline
\end{array} \)
\end{frame}


\subsection[Var. Size]{Variable Size}   

\begin{frame}[fragile]
\frametitle{Variable Size Constructions}
 
\begin{tabular}{|l|l|} \hline 
\( \begin{array}{cl} 
&amp; \\[-3mm]
\overbrace{abc} &amp; \verb+\overbrace{abc}+ \\[1mm]
\underbrace{abc} &amp; \verb+\underbrace{abc}+ \\[3mm]
\xleftarrow{abc} &amp; \verb+\xleftarrow{abc}+ \\[2mm]
\xrightarrow{abc} &amp; \verb+\xrightarrow{abc}+ 
\end{array} \)
&amp;
\(\begin{array}{cl}
\sqrt{abc} &amp; \verb+\sqrt{abc}+ \\[1mm]
\widetilde{abc} &amp; \verb+\widetilde{abc}+ \\[1mm]
\widehat{abc} &amp; \verb+\widehat{abc}+ \\[1mm]
\overline{abc} &amp; \verb+\overline{abc}+ \\[1mm]
\underline{abc} &amp; \verb+\underline{abc}+ 
\end{array} \)
\\ \hline
\end{tabular}

\vspace{2mm}

\begin{tabular}{ccc}
\phantom{ABCD} &amp;
\(\begin{array}{|ll|} \hline
&amp; \\[-3mm]
\overrightarrow{abc} &amp; \verb+\overrightarrow{abc}+ \\[2mm]
\overleftarrow{abc} &amp; \verb+\overleftarrow{abc}+ \\[2mm]
\overleftrightarrow{abc} &amp; \verb+\overleftrightarrow{abc}+ \\[2mm]
\underrightarrow{abc} &amp; \verb+\underrightarrow{abc}+  \\[2mm]
\underleftarrow{abc} &amp; \verb+\underleftarrow{abc}+ \\[2mm]
\underleftrightarrow{abc} &amp; \verb+\underleftrightarrow{abc}+ \\ \hline
\end{array} \)
&amp; \phantom{ABC}
\end{tabular}
\end{frame}


\section[EXTRA]{Extra Packages}

\subsection{Textcomp}

\begin{frame}[fragile]
\frametitle{Textcomp I}
\framesubtitle{Include \upc{textcomp} before \bd} 

\begin{tabular}{|c|c|} \hline
\begin{tabular}{cl}
\textdollar &amp; \verb+\textdollar+ \\
\textcent &amp; \verb+\textcent+ \\
\texteuro &amp; \verb+\texteuro+ \\
\textyen &amp; \verb+\textyen+ \\
\textsterling &amp; \verb+\textsterling+ \\
\textlira &amp; \verb+\textlira+ \\
\textbaht &amp; \verb+\textbaht+ \\
\textguarani &amp; \verb+\textguarani+ \\
\textdong &amp; \verb+\textdong+ \\
\textnaira &amp; \verb+\textnaira+ \\
\textpeso &amp; \verb+\textpeso+ \\
\textwon &amp; \verb+\textwon+ \\
\textcurrency &amp; \verb+\textcurrency+ \\
\textflorin &amp; \verb+\textflorin+ \\
\newtie{A} &amp; \verb+\newtie{A}+ \\
\newtie{a} &amp; \verb+\newtie{a}+ 
\end{tabular} 
&amp;
\begin{tabular}{cl}
\textdollaroldstyle &amp; \verb+\textdollaroldstyle+ \\
\textcentoldstyle &amp; \verb+\textcentoldstyle+ \\
\textcolonmonetary &amp; \verb+\textcolonmonetary+ \\
\textdownarrow &amp; \verb+\textdownarrow+ \\
\textrightarrow &amp; \verb+\textrightarrow+ \\
\textleftarrow &amp; \verb+\textleftarrow+ \\
\textuparrow &amp; \verb+\textuparrow+ \\
\textacutedbl &amp; \verb+\textacutedbl+ \\
\textasciicaron &amp; \verb+\textasciicaron+ \\
\textasciimacron &amp; \verb+\textasciimacron+ \\
\textasciiacute &amp; \verb+\textasciiacute+ \\
\textasciidieresis &amp; \verb+\textasciidieresis+ \\
\textgravedbl &amp; \verb+\textgravedbl+ \\
\textasciibreve &amp; \verb+\textasciibreve+ \\
\textasciigrave &amp; \verb+\textasciigrave+ \\
\textrecipe &amp; \verb+\textrecipe+ 
\end{tabular}
\\ \hline
\end{tabular}
\end{frame}

\begin{frame}[fragile]
\frametitle{Textcomp II}
\begin{tabular}{|c|c|} \hline
\begin{tabular}{cl}
\textcircledP  &amp; \verb+\textcircledP + \\
\textcopyright &amp; \verb+\textcopyright+ \\
\textservicemark &amp; \verb+\textservicemark+ \\
\textcopyleft &amp; \verb+\textcopyleft+ \\
\textregistered &amp; \verb+\textregistered+ \\
\texttrademark &amp; \verb+\texttrademark+ \\
\textdegree &amp; \verb+\textdegree+ \\
\textonehalf &amp; \verb+\textonehalf+ \\
\textonequarter &amp; \verb+\textonequarter+ \\
\textthreequarters &amp; \verb+\textthreequarters+ \\
\textminus &amp; \verb+\textminus+ \\
\textpm &amp; \verb+\textpm+ \\
\textdiv &amp; \verb+\textdiv+ \\
\texttimes &amp; \verb+\texttimes+ \\
\textsurd &amp; \verb+\textsurd+ 
\end{tabular} 
&amp;
\begin{tabular}{cl}
\textzerooldstyle &amp; \verb+\textzerooldstyle+ \\
\textoneoldstyle &amp; \verb+\textoneoldstyle+ \\
\texttwooldstyle &amp; \verb+\texttwooldstyle+ \\
\textthreeoldstyle &amp; \verb+\textthreeoldstyle+ \\
\textfouroldstyle &amp; \verb+\textfouroldstyle+ \\
\textfiveoldstyle &amp; \verb+\textfiveoldstyle+ \\
\textsixoldstyle &amp; \verb+\textsixoldstyle+ \\
\textsevenoldstyle &amp; \verb+\textsevenoldstyle+ \\
\texteightoldstyle &amp; \verb+\texteightoldstyle+ \\
\textnineoldstyle &amp; \verb+\textnineoldstyle+ \\
\textonesuperior &amp; \verb+\textonesuperior+ \\
\texttwosuperior &amp; \verb+\texttwosuperior+ \\
\textthreesuperior &amp; \verb+\textthreesuperior+ \\
\textlnot &amp; \verb+\textlnot+ \\
 &amp; \verb++ 
\end{tabular}
\\ \hline
\end{tabular}
\end{frame}



\begin{frame}[fragile]
\frametitle{Textcomp III}
\begin{tabular}{|c|c|} \hline
\begin{tabular}{cl}
\textbrokenbar &amp; \verb+\textbrokenbar+ \\
\textbardbl &amp; \verb+\textbardbl+ \\
\textparagraph &amp; \verb+\textparagraph+ \\
\textpilcrow &amp; \verb+\textpilcrow+ \\
\textbigcircle &amp; \verb+\textbigcircle+ \\
\textblank &amp; \verb+\textblank+ \\
\textdagger &amp; \verb+\textdagger+ \\
\textdaggerdbl &amp; \verb+\textdaggerdbl+ \\
\textdiscount &amp; \verb+\textdiscount+ \\
\texttildelow &amp; \verb+\texttildelow+ \\
\textnumero &amp; \verb+\textnumero+ \\
\textestimated &amp; \verb+\textestimated+ \\
\textsection &amp; \verb+\textsection+ \\
\textquotesingle &amp; \verb+\textquotesingle+ \\
\textbullet &amp; \verb+\textbullet+ \\
\textopenbullet &amp; \verb+\textopenbullet+
\end{tabular} 
&amp;
\begin{tabular}{cl}
\textmusicalnote &amp; \verb+\textmusicalnote+ \\
\textlangle &amp; \verb+\textlangle+ \\
\textrangle &amp; \verb+\textrangle+ \\
\textlbrackdbl &amp; \verb+\textlbrackdbl+ \\
\textrbrackdbl &amp; \verb+\textrbrackdbl+ \\
\textlquill &amp; \verb+\textlquill+ \\
\textrquill &amp; \verb+\textrquill+ \\
\textcelsius &amp; \verb+\textcelsius+ \\
\textmu &amp; \verb+\textmu+ \\
\textohm &amp; \verb+\textohm+ \\
\textmho &amp; \verb+\textmho+ \\
\textborn &amp; \verb+\textborn+ \\
\textdivorced &amp; \verb+\textdivorced+ \\
\textmarried &amp; \verb+\textmarried+ \\
\textdied &amp; \verb+\textdied+ \\
\textleaf &amp; \verb+\textleaf+ 
\end{tabular}
\\ \hline
\end{tabular}
\end{frame}


\begin{frame}[fragile]
\frametitle{Textcomp IV}
\begin{tabular}{|cl|} \hline
\textreferencemark &amp; \verb+\textreferencemark+ \\
\textpertenthousand &amp; \verb+\textpertenthousand+ \\
\textperthousand &amp; \verb+\textperthousand+ \\
\textasteriskcentered &amp; \verb+\textasteriskcentered+ \\
\textperiodcentered &amp; \verb+\textperiodcentered+ \\
\textordfeminine &amp; \verb+\textordfeminine+ \\
\textordmasculine &amp; \verb+\textordmasculine+ \\
\textfractionsolidus &amp; \verb+\textfractionsolidus+ \\
\textdblhyphen  &amp; \verb+\textdblhyphen + \\
\textdblhyphenchar &amp; \verb+\textdblhyphenchar+ \\
\textquotestraightbase &amp; \verb+\textquotestraightbase+ \\
\textquotestraightdblbase &amp; \verb+\textquotestraightdblbase+ \\
\textinterrobang &amp; \verb+\textinterrobang+ \\
\textinterrobangdown &amp; \verb+\textinterrobangdown+ \\
\textthreequartersemdash &amp; \verb+\textthreequartersemdash+ \\
\texttwelveudash &amp; \verb+\texttwelveudash+\\ \hline
\end{tabular}
\end{frame}

\subsection{Marvosym}

\begin{frame}[fragile]
\frametitle{Marvosym I}
\framesubtitle{Include \upc{marvosym} before \bd} 

\begin{tabular}{|c|c|} \hline
\begin{tabular}{cl}
\EUR &amp; \verb+\EUR+ \\
\EURdig &amp; \verb+\EURdig+ \\
\EURtm &amp; \verb+\EURtm+ \\
\EURcr &amp; \verb+\EURcr+ \\
\EURhv &amp; \verb+\EURhv+ \\
\Pfund &amp; \verb+\Pfund+ \\
\Ecommerce &amp; \verb+\Ecommerce+ \\
\EyesDollar &amp; \verb+\EyesDollar+ 
\end{tabular}
&amp;
\begin{tabular}{cl}
\Denarius &amp; \verb+\Denarius+ \\
\Shilling &amp; \verb+\Shilling+ \\
\Anglesign  &amp; \verb+\Anglesign + \\
\Squaredot &amp; \verb+\Squaredot+ \\
\Corresponds &amp; \verb+\Corresponds+ \\
\Vectorarrow &amp; \verb+\Vectorarrow+ \\
\Vectorarrowhigh &amp; \verb+\Vectorarrowhigh+ \\
\MVRightarrow &amp; \verb+\MVRightarrow+ 
\end{tabular} 
\\ \hline
\end{tabular}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Ankh &amp; \verb+\Ankh+ \\
\Cross &amp; \verb+\Cross+ \\
\Celtcross &amp; \verb+\Celtcross+ \hspace{0.4mm}\\
\Heart &amp; \verb+\Heart+ \\
\Bat &amp; \verb+\Bat+ \\
\FHBOlogo &amp; \verb+\FHBOlogo+ \\
\FHBOLOGO &amp; \verb+\FHBOLOGO+ \\
\FullFHBO &amp; \verb+\FullFHBO+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\Womanface &amp; \verb+\Womanface+ \\
\MartinVogel &amp; \verb+\MartinVogel+ \\
\Bouquet &amp; \verb+\Bouquet+ \\
\Mundus &amp; \verb+\Mundus+ \\
\Yinyang &amp; \verb+\Yinyang+ \\
\Smiley &amp; \verb+\Smiley+ \\
\Frowny &amp; \verb+\Frowny+ \\
\CircledA &amp; \verb+\CircledA+ \\
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}

\begin{frame}[fragile]
\frametitle{Marvosym II}
\begin{tabular}{|c|c|} \hline
\begin{tabular}{cl}
\MVZero &amp; \verb+\MVZero+ \phantom{ABCDE}\\
\MVOne &amp; \verb+\MVOne+ \\
\MVTwo &amp; \verb+\MVTwo+ \\
\MVThree &amp; \verb+\MVThree+ \\
\MVFour &amp; \verb+\MVFour+ 
\end{tabular}
&amp;
\begin{tabular}{cl}
\MVFive &amp; \verb+\MVFive+ \\
\MVSix &amp; \verb+\MVSix+ \\
\MVSeven &amp; \verb+\MVSeven+ \\
\MVEight &amp; \verb+\MVEight+ \\
\MVNine &amp; \verb+\MVNine+ 
\end{tabular} 
\\ \hline
\end{tabular}

\vspace{1mm}

\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Female &amp; \verb+\Female+ \\
\FEMALE &amp; \verb+\FEMALE+ \\
\FemaleFemale &amp; \verb+\FemaleFemale+ \\
\FemaleMale &amp; \verb+\FemaleMale+ \\
\Hermaphrodite &amp; \verb+\Hermaphrodite+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\Male &amp; \verb+\Male+ \\
\MALE &amp; \verb+\MALE+ \\
\MaleMale &amp; \verb+\MaleMale+ \\
\Neutral &amp; \verb+\Neutral+ \\
\HERMAPHRODITE &amp; \verb+\HERMAPHRODITE+ 
\end{tabular} \)
\\ \hline
\end{tabular}

\vspace{1mm}

\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Forward &amp; \verb+\Forward+ \\
\Rewind &amp; \verb+\Rewind+ \\
\ForwardToEnd &amp; \verb+\ForwardToEnd+ \phantom{.}\\
\MoveDown &amp; \verb+\MoveDown+ \\
\MoveUp &amp; \verb+\MoveUp+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\ToTop &amp; \verb+\ToTop+ \\
\ToBottom &amp; \verb+\ToBottom+ \\
\RewindToStart &amp; \verb+\RewindToStart+ \\
\ForwardToIndex &amp; \verb+\ForwardToIndex+ \\
\RewindToIndex &amp; \verb+\RewindToIndex+ 
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}



\begin{frame}[fragile]
\frametitle{Marvosym III}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Mercury &amp; \verb+\Mercury+ \\
\Venus &amp; \verb+\Venus+ \\
\Earth &amp; \verb+\Earth+ \\
\Mars &amp; \verb+\Mars+ \\
\Jupiter &amp; \verb+\Jupiter+ \\
\Saturn &amp; \verb+\Saturn+ \\
\Uranus &amp; \verb+\Uranus+ \phantom{ABC.}\\
\Neptune &amp; \verb+\Neptune+ \\
\Pluto &amp; \verb+\Pluto+ \\
\Moon &amp; \verb+\Moon+ \\
\Sun &amp; \verb+\Sun+ \\
&amp; \verb++ \\
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\Aries &amp; \verb+\Aries+ \\
\Taurus &amp; \verb+\Taurus+ \\
\Gemini &amp; \verb+\Gemini+ \\
\Cancer &amp; \verb+\Cancer+ \\
\Leo &amp; \verb+\Leo+ \\
\Virgo &amp; \verb+\Virgo+ \\
\Libra &amp; \verb+\Libra+ \\
\Scorpio &amp; \verb+\Scorpio+ \\
\Sagittarius &amp; \verb+\Sagittarius+ \\
\Capricorn &amp; \verb+\Capricorn+ \\
\Aquarius &amp; \verb+\Aquarius+ \\
\Pisces &amp; \verb+\Pisces+ 
\end{tabular} \)
\\ \hline
\end{tabular}

\vspace{3mm}

\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Cutleft &amp; \verb+\Cutleft+ \\
\Cutright &amp; \verb+\Cutright+ \\
\Leftscissors &amp; \verb+\Leftscissors+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\Rightscissors &amp; \verb+\Rightscissors+ \\
\Cutline &amp; \verb+\Cutline+ \\
\Kutline &amp; \verb+\Kutline+ 
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}

\begin{frame}[fragile]
\frametitle{Marvosym IV}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Biohazard &amp; \verb+\Biohazard+ \\
\CEsign &amp; \verb+\CEsign+ \\
\Explosionsafe &amp; \verb+\Explosionsafe+ \hspace{1pt} \\
\Radioactivity &amp; \verb+\Radioactivity+
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\BSEfree &amp; \verb+\BSEfree+ \\
\Estatically &amp; \verb+\Estatically+ \\
\Stopsign &amp; \verb+\Stopsign+ \\
\Laserbeam &amp; \verb+\Laserbeam+ 
\end{tabular} \)
\\ \hline
\end{tabular}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Lsteel &amp; \verb+\Lsteel+ \\
\Tsteel &amp; \verb+\Tsteel+ \\
\TTsteel &amp; \verb+\TTsteel+\\
\RoundedTsteel &amp; \verb+\RoundedTsteel+ \\
\RoundedLsteel &amp; \verb+\RoundedLsteel+ \\
\RoundedTTsteel &amp; \verb+\RoundedTTsteel+ \\
\Force &amp; \verb+\Force+ \\
\Beam &amp; \verb+\Beam+ \\
\Bearing &amp; \verb+\Bearing+ \\
\Fixedbearing &amp; \verb+\Fixedbearing+ \\
\Loosebearing &amp; \verb+\Loosebearing+ \\
\Lineload &amp; \verb+\Lineload+ \\
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\Circsteel &amp; \verb+\Circsteel+ \\
\Squaresteel &amp; \verb+\Squaresteel+ \\
\Rectsteel &amp; \verb+\Rectsteel+ \\
\Hexasteel &amp; \verb+\Hexasteel+ \\
\Octosteel &amp; \verb+\Octosteel+ \\
\Flatsteel &amp; \verb+\Flatsteel+ \\
\Circpipe &amp; \verb+\Circpipe+ \\
\Squarepipe &amp; \verb+\Squarepipe+ \\
\Rectpipe &amp; \verb+\Rectpipe+ \\
\Lefttorque &amp; \verb+\Lefttorque+ \\
\Righttorque &amp; \verb+\Righttorque+ \\
 &amp; \verb++
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}


\begin{frame}[fragile]
\frametitle{Marvosym V}
 \begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Email &amp; \verb+\Email+ \\
\fax &amp; \verb+\fax+ \\
\Faxmachine &amp; \verb+\Faxmachine+ \hspace{10pt} \\
\Lightning &amp; \verb+\Lightning+ \\
\Pickup &amp; \verb+\Pickup+ \\
\Emailct &amp; \verb+\Emailct+ \\
\FAX &amp; \verb+\FAX+ \\
\Letter &amp; \verb+\Letter+ \\
\Mobilefone &amp; \verb+\Mobilefone+ \\
\Telefon &amp; \verb+\Telefon+ \\
\Info &amp; \verb+\Info+ \\
\MVAt &amp; \verb+\MVAt+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\Bicycle &amp; \verb+\Bicycle+ \\
\Football &amp; \verb+\Football+ \\
\Pointinghand &amp; \verb+\Pointinghand+ \\
\Checkedbox &amp; \verb+\Checkedbox+ \\
\Gentsroom &amp; \verb+\Gentsroom+ \\
\Ladiesroom &amp; \verb+\Ladiesroom+ \\
\Wheelchair &amp; \verb+\Wheelchair+ \\
\Clocklogo &amp; \verb+\Clocklogo+ \\
\Industry &amp; \verb+\Industry+ \\
\Writinghand &amp; \verb+\Writinghand+ \\
\Coffeecup &amp; \verb+\Coffeecup+ \\
\Crossedbox &amp; \verb+\Crossedbox+ \\
\end{tabular} \)
\\ \hline
\end{tabular}

\vspace{3mm}

\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\ComputerMouse &amp; \verb+\ComputerMouse+ \\
\ParallelPort &amp; \verb+\ParallelPort+ \\
\SerialPort &amp; \verb+\SerialPort+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\SerialInterface &amp; \verb+\SerialInterface+ \\
\Keyboard &amp; \verb+\Keyboard+ \\
\Printer &amp; \verb+\Printer+ 
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}

\begin{frame}[fragile]
\frametitle{Marvosym VI}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\CleaningA &amp; \verb+\CleaningA+ \\
\CleaningF &amp; \verb+\CleaningF+ \\
\CleaningFF &amp; \verb+\CleaningFF+ \\
\CleaningP &amp; \verb+\CleaningP+ \\
\CleaningPP &amp; \verb+\CleaningPP+ \\
\Tumbler &amp; \verb+\Tumbler+ \\
\NoTumbler &amp; \verb+\NoTumbler+ \\
\NoChemicalCleaning &amp; \verb+\NoChemicalCleaning+ \\
\Bleech &amp; \verb+\Bleech+ \\
\NoBleech &amp; \verb+\NoBleech+ \\
\IroningI &amp; \verb+\IroningI+ \\
\IroningII &amp; \verb+\IroningII+ \\
\IroningIII &amp; \verb+\IroningIII+ \\
\NoIroning &amp; \verb+\NoIroning+ 
\end{tabular} \)
&amp;
\( \begin{tabular}{cl}
\AtForty &amp; \verb+\AtForty+ \\
\AtSixty &amp; \verb+\AtSixty+ \\
\AtNinetyFive &amp; \verb+\AtNinetyFive+ \\
\ShortThirty &amp; \verb+\ShortThirty+ \\
\ShortForty &amp; \verb+\ShortForty+ \\
\ShortFifty &amp; \verb+\ShortFifty+ \\
\ShortSixty &amp; \verb+\ShortSixty+ \\
\ShortNinetyFive &amp; \verb+\ShortNinetyFive+ \\
\SpecialForty &amp; \verb+\SpecialForty+ \\
\WashCotton &amp; \verb+\WashCotton+ \\
\WashSynthetics &amp; \verb+\WashSynthetics+ \\
\WashWool &amp; \verb+\WashWool+ \\
\Handwash &amp; \verb+\Handwash+ \\
\Dontwash &amp; \verb+\Dontwash+ 
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}

\subsection{Pifont}


\begin{frame}[fragile]				
\frametitle{Pifont I} 				
\framesubtitle{Include \upc{pifont} before \bd} 

\begin{tabular}{|c|c|c|}  \hline				
\begin{tabular}{cl}				
\ding{37}	&amp;	\verb+\ding{37}+\\
\ding{38}	&amp;	\verb+\ding{38}+\\
\ding{39}	&amp;	\verb+\ding{39}+\\
\ding{40}	&amp;	\verb+\ding{40}+\\
\ding{41}	&amp;	\verb+\ding{41}+\\
\ding{42}	&amp;	\verb+\ding{42}+\\
\ding{43}	&amp;	\verb+\ding{43}+\\
\ding{44}	&amp;	\verb+\ding{44}+\\
\ding{45}	&amp;	\verb+\ding{45}+\\
\ding{46}	&amp;	\verb+\ding{46}+\\
\ding{47}	&amp;	\verb+\ding{47}+\\
\ding{48}	&amp;	\verb+\ding{48}+\\
\ding{49}	&amp;	\verb+\ding{49}+\\
\ding{50}	&amp;	\verb+\ding{50}+\\
\ding{51}	&amp;	\verb+\ding{51}+\\
\ding{52}	&amp;	\verb+\ding{52}+\\
\end{tabular} 				
&amp;				
\begin{tabular}{cl}				
\ding{53}	&amp;	\verb+\ding{53}+\\
\ding{54}	&amp;	\verb+\ding{54}+\\
\ding{55}	&amp;	\verb+\ding{55}+\\
\ding{56}	&amp;	\verb+\ding{56}+\\
\ding{57}	&amp;	\verb+\ding{57}+\\
\ding{58}	&amp;	\verb+\ding{58}+\\
\ding{59}	&amp;	\verb+\ding{59}+\\
\ding{60}	&amp;	\verb+\ding{60}+\\
\ding{61}	&amp;	\verb+\ding{61}+\\
\ding{62}	&amp;	\verb+\ding{62}+\\
\ding{63}	&amp;	\verb+\ding{63}+\\
\ding{64}	&amp;	\verb+\ding{64}+\\
\ding{65}	&amp;	\verb+\ding{65}+\\
\ding{66}	&amp;	\verb+\ding{66}+\\
\ding{67}	&amp;	\verb+\ding{67}+\\
\ding{68}	&amp;	\verb+\ding{68}+\\
\end{tabular} 				
&amp;
\begin{tabular}{cl}				
\ding{69}	&amp;	\verb+\ding{69}+\\
\ding{70}	&amp;	\verb+\ding{70}+\\
\ding{71}	&amp;	\verb+\ding{71}+\\
\ding{72}	&amp;	\verb+\ding{72}+\\
\ding{73}	&amp;	\verb+\ding{73}+\\
\ding{74}	&amp;	\verb+\ding{74}+\\
\ding{75}	&amp;	\verb+\ding{75}+\\
\ding{76}	&amp;	\verb+\ding{76}+\\
\ding{77}	&amp;	\verb+\ding{77}+\\
\ding{78}	&amp;	\verb+\ding{78}+\\
\ding{79}	&amp;	\verb+\ding{79}+\\
\ding{80}	&amp;	\verb+\ding{80}+\\
\ding{81}	&amp;	\verb+\ding{81}+\\
\ding{82}	&amp;	\verb+\ding{82}+\\
\ding{83}	&amp;	\verb+\ding{83}+\\
\ding{84}	&amp;	\verb+\ding{84}+\\
\end{tabular} 				
\\ \hline				
\end{tabular}				
\end{frame}				

\begin{frame}[fragile]				
\frametitle{Pifont II} 				
\begin{tabular}{|c|c|c|}  \hline				
\begin{tabular}{cl}				
\ding{85}	&amp;	\verb+\ding{85}+\\
\ding{86}	&amp;	\verb+\ding{86}+\\
\ding{87}	&amp;	\verb+\ding{87}+\\
\ding{88}	&amp;	\verb+\ding{88}+\\
\ding{89}	&amp;	\verb+\ding{89}+\\
\ding{90}	&amp;	\verb+\ding{90}+\\
\ding{91}	&amp;	\verb+\ding{91}+\\
\ding{92}	&amp;	\verb+\ding{92}+\\
\ding{93}	&amp;	\verb+\ding{93}+\\
\ding{94}	&amp;	\verb+\ding{94}+\\
\ding{95}	&amp;	\verb+\ding{95}+\\
\ding{96}	&amp;	\verb+\ding{96}+\\
\ding{97}	&amp;	\verb+\ding{97}+\\
\ding{98}	&amp;	\verb+\ding{98}+\\
\ding{99}	&amp;	\verb+\ding{99}+\\
\ding{100}	&amp;	\verb+\ding{100}+\\
\end{tabular}\hspace{-3mm}
&amp;				
\begin{tabular}{cl}				
\ding{101}	&amp;	\verb+\ding{101}+\\
\ding{102}	&amp;	\verb+\ding{102}+\\
\ding{103}	&amp;	\verb+\ding{103}+\\
\ding{104}	&amp;	\verb+\ding{104}+\\
\ding{105}	&amp;	\verb+\ding{105}+\\
\ding{106}	&amp;	\verb+\ding{106}+\\
\ding{107}	&amp;	\verb+\ding{107}+\\
\ding{108}	&amp;	\verb+\ding{108}+\\
\ding{109}	&amp;	\verb+\ding{109}+\\
\ding{110}	&amp;	\verb+\ding{110}+\\
\ding{111}	&amp;	\verb+\ding{111}+\\
\ding{112}	&amp;	\verb+\ding{112}+\\
\ding{113}	&amp;	\verb+\ding{113}+\\
\ding{114}	&amp;	\verb+\ding{114}+\\
\ding{115}	&amp;	\verb+\ding{115}+\\
\ding{116}	&amp;	\verb+\ding{116}+\\
\end{tabular}\hspace{-3mm}
&amp;
\begin{tabular}{cl}				
\ding{117}	&amp;	\verb+\ding{117}+\\
\ding{118}	&amp;	\verb+\ding{118}+\\
\ding{119}	&amp;	\verb+\ding{119}+\\
\ding{120}	&amp;	\verb+\ding{120}+\\
\ding{121}	&amp;	\verb+\ding{121}+\\
\ding{122}	&amp;	\verb+\ding{122}+\\
\ding{123}	&amp;	\verb+\ding{123}+\\
\ding{124}	&amp;	\verb+\ding{124}+\\
\ding{125}	&amp;	\verb+\ding{125}+\\
\ding{126}	&amp;	\verb+\ding{126}+\\
\ding{161}	&amp;	\verb+\ding{161}+\\
\ding{162}	&amp;	\verb+\ding{162}+\\
\ding{163}	&amp;	\verb+\ding{163}+\\
\ding{164}	&amp;	\verb+\ding{164}+\\
\ding{165}	&amp;	\verb+\ding{165}+\\
\ding{166}	&amp;	\verb+\ding{166}+\\
\end{tabular}\hspace{-2mm} 				
\\ \hline				
\end{tabular}				
\end{frame}				
				
\begin{frame}[fragile]				
\frametitle{Pifont III} 				
\begin{tabular}{|c|c|c|}  \hline				
\begin{tabular}{cl}				
\ding{167}	&amp;	\verb+\ding{167}+\\
\ding{168}	&amp;	\verb+\ding{168}+\\
\ding{169}	&amp;	\verb+\ding{169}+\\
\ding{170}	&amp;	\verb+\ding{170}+\\
\ding{171}	&amp;	\verb+\ding{171}+\\
&amp;	\verb++\\
\ding{172}	&amp;	\verb+\ding{172}+\\
\ding{173}	&amp;	\verb+\ding{173}+\\
\ding{174}	&amp;	\verb+\ding{174}+\\
\ding{175}	&amp;	\verb+\ding{175}+\\
\ding{176}	&amp;	\verb+\ding{176}+\\
\ding{177}	&amp;	\verb+\ding{177}+\\
\ding{178}	&amp;	\verb+\ding{178}+\\
\ding{179}	&amp;	\verb+\ding{179}+\\
\ding{180}	&amp;	\verb+\ding{180}+\\
\ding{181}	&amp;	\verb+\ding{181}+\\
\end{tabular} \hspace{-3mm} 				
&amp;				
\begin{tabular}{cl}
\ding{182}	&amp;	\verb+\ding{182}+\\
\ding{183}	&amp;	\verb+\ding{183}+\\
\ding{184}	&amp;	\verb+\ding{184}+\\
\ding{185}	&amp;	\verb+\ding{185}+\\
\ding{186}	&amp;	\verb+\ding{186}+\\
\ding{187}	&amp;	\verb+\ding{187}+\\				
\ding{188}	&amp;	\verb+\ding{188}+\\
\ding{189}	&amp;	\verb+\ding{189}+\\
\ding{190}	&amp;	\verb+\ding{190}+\\
\ding{191}	&amp;	\verb+\ding{191}+\\
\ding{192}	&amp;	\verb+\ding{192}+\\
\ding{193}	&amp;	\verb+\ding{193}+\\
\ding{194}	&amp;	\verb+\ding{194}+\\
\ding{195}	&amp;	\verb+\ding{195}+\\
\ding{196}	&amp;	\verb+\ding{196}+\\
\ding{197}	&amp;	\verb+\ding{197}+\\
\end{tabular} \hspace{-3mm}
&amp;				
\begin{tabular}{cl}				
\ding{198}	&amp;	\verb+\ding{198}+\\
\ding{199}	&amp;	\verb+\ding{199}+\\
\ding{200}	&amp;	\verb+\ding{200}+\\
\ding{201}	&amp;	\verb+\ding{201}+\\
\ding{202}	&amp;	\verb+\ding{202}+\\
\ding{203}	&amp;	\verb+\ding{203}+\\
\ding{204}	&amp;	\verb+\ding{204}+\\
\ding{205}	&amp;	\verb+\ding{205}+\\
\ding{206}	&amp;	\verb+\ding{206}+\\
\ding{207}	&amp;	\verb+\ding{207}+\\
\ding{208}	&amp;	\verb+\ding{208}+\\
\ding{209}	&amp;	\verb+\ding{209}+\\
\ding{210}	&amp;	\verb+\ding{210}+\\
\ding{211}	&amp;	\verb+\ding{211}+\\
	&amp;	\verb++\\
	&amp;	\verb++\\
\end{tabular}\hspace{-2mm} 				
\\ \hline				
\end{tabular}				
\end{frame}				
				
\begin{frame}[fragile]				
\frametitle{Pifont IV} 				
\begin{tabular}{|c|c|c|}  \hline				
\begin{tabular}{cl}				
\ding{212}	&amp;	\verb+\ding{212}+\\
\ding{213}	&amp;	\verb+\ding{213}+\\
\ding{214}	&amp;	\verb+\ding{214}+\\
\ding{215}	&amp;	\verb+\ding{215}+\\
\ding{216}	&amp;	\verb+\ding{216}+\\
\ding{217}	&amp;	\verb+\ding{217}+\\
\ding{218}	&amp;	\verb+\ding{218}+\\
\ding{219}	&amp;	\verb+\ding{219}+\\
\ding{220}	&amp;	\verb+\ding{220}+\\
\ding{221}	&amp;	\verb+\ding{221}+\\
\ding{222}	&amp;	\verb+\ding{222}+\\
\ding{223}	&amp;	\verb+\ding{223}+\\
\ding{224}	&amp;	\verb+\ding{224}+\\
\ding{225}	&amp;	\verb+\ding{225}+\\
\ding{226}	&amp;	\verb+\ding{226}+\\
\ding{227}	&amp;	\verb+\ding{227}+\\
\end{tabular} \hspace{-3mm} 				
&amp;				
\begin{tabular}{cl}				
\ding{228}	&amp;	\verb+\ding{228}+\\
\ding{229}	&amp;	\verb+\ding{229}+\\
\ding{230}	&amp;	\verb+\ding{230}+\\
\ding{231}	&amp;	\verb+\ding{231}+\\
\ding{232}	&amp;	\verb+\ding{232}+\\
\ding{233}	&amp;	\verb+\ding{233}+\\
\ding{234}	&amp;	\verb+\ding{234}+\\
\ding{235}	&amp;	\verb+\ding{235}+\\
\ding{236}	&amp;	\verb+\ding{236}+\\
\ding{237}	&amp;	\verb+\ding{237}+\\
\ding{238}	&amp;	\verb+\ding{238}+\\
\ding{239}	&amp;	\verb+\ding{239}+\\
\ding{241}	&amp;	\verb+\ding{241}+\\
\ding{242}	&amp;	\verb+\ding{242}+\\
\ding{243}	&amp;	\verb+\ding{243}+\\
\ding{244}	&amp;	\verb+\ding{244}+\\
\end{tabular} \hspace{-3mm}				
&amp;				
\begin{tabular}{cl}				
\ding{245}	&amp;	\verb+\ding{245}+\\
\ding{246}	&amp;	\verb+\ding{246}+\\
\ding{247}	&amp;	\verb+\ding{247}+\\
\ding{248}	&amp;	\verb+\ding{248}+\\
\ding{249}	&amp;	\verb+\ding{249}+\\
\ding{250}	&amp;	\verb+\ding{250}+\\
\ding{251}	&amp;	\verb+\ding{251}+\\
\ding{252}	&amp;	\verb+\ding{252}+\\
\ding{253}	&amp;	\verb+\ding{253}+\\
\ding{254}	&amp;	\verb+\ding{254}+\\
	&amp;	\verb++\\
\ding{33}	&amp;	\verb+\ding{33}+\\
\ding{34}	&amp;	\verb+\ding{34}+\\
\ding{35}	&amp;	\verb+\ding{35}+\\
\ding{36}	&amp;	\verb+\ding{36}+\\
	&amp;	\verb++
\end{tabular}\hspace{-2mm}
\\ \hline				
\end{tabular}				
\end{frame}				


\subsection{Chemarrow}

\begin{frame}[fragile]
\frametitle{Chemarrow}
\framesubtitle{Include \upc{chemarrow} before \bd} 

\(\begin{array}{|cl|}  \hline	
\autorightarrow{abc}{def} &amp; \verb+\autorightarrow{abc}{def}+\\[7mm]
\autoleftarrow{abc}{def} &amp; \verb+\autoleftarrow{abc}{def}+\\[7mm]
\autorightleftharpoons{abc}{def} &amp; \verb+\autorightleftharpoons{abc}{def}+\\[7mm]
\autoleftrightharpoons{abc}{def} &amp; \verb+\autoleftrightharpoons{abc}{def}+\\[7mm]
\chemarrow &amp; \verb+\chemarrow+\\ \hline
\end{array} \)				
\end{frame}



\end{document}</pre></body></html>