\documentclass{beamer}
\setbeamertemplate{navigation symbols}{}

\usepackage{txfonts}

\usepackage{mathrsfs,marvosym,textcomp}

\usepackage{pifont,chemarrow}

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

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

\begin{document}

\title[TXFONTS]{Txfonts Version}
\subtitle{of \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 \alert{This document uses the \texttt{Txfonts} package, which redefines many symbols.} There's another, standard version.
\item You may reach the latest version of both files 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{txfonts}} 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}
\$ & \verb+\$+ \\
\& & \verb+\&+ \\
\# & \verb+\#+ \\
\% & \verb+\%+ \\
\{ & \verb+\{+ \\
\} & \verb+\}+ \\
\- & \verb+\-+ \\
\P & \verb+\P+ \\
\S & \verb+\S+ \\
\dag & \verb+\dag+ \\
\ddag & \verb+\ddag+ \\
\i & \verb+\i+ \\
\j & \verb+\j+ \\
\t{BB} & \verb+\t{BB}+ 
\end{tabular}
&
\begin{tabular}{cl}
\"{U} & \verb+\"{U}+ \\
\.{I} & \verb+\.{I}+ \\
\~{G} & \verb+\~{G}+ \\
\H{A} & \verb+\H{A}+ \\
\`{O} & \verb+\`{O}+ \\
\^{C} & \verb+\^{C}+ \\
\v{C} & \verb+\v{C}+ \\
\r{T} & \verb+\r{T}+ \\
\'{P} & \verb+\'{P}+ \\
\u{M} & \verb+\u{M}+ \\
\={N} & \verb+\={N}+ \\
\b{E} & \verb+\b{E}+ \\
\c{S} & \verb+\c{S}+ \\
\d{F}& \verb+\d{F}+ \\
\end{tabular}
&
\begin{tabular}{cl}
\copyright & \verb+\copyright+ \\
\circledR & \verb+\circledR+ \\
\textcircled{a} & \verb+\textcircled{a}+ \\
\texttrademark & \verb+\texttrademark+ \\
\checkmark & \verb+\checkmark+ \\
\pounds & \verb+\pounds+  \\
\maltese & \verb+\maltese+ \\
\textbullet & \verb+\textbullet+ \\
\textbackslash & \verb+\textbackslash+ \\
\textbar & \verb+\textbar+ \\
\_ & \verb+\_+ \\
\textendash & \verb+\textendash+ \\
\textemdash & \verb+\textemdash+ \\
\textless & \verb+\textless+ \\
\textgreater & \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 &\verb+\dots+ \\
\l & \verb+\l+ \\
\L & \verb+\L+ \\
\o & \verb+\o+ \\
\O & \verb+\O+ \\
\aa & \verb+\aa+ \\
\AA & \verb+\AA+ \\
\ss & \verb+\ss+ \\
\SS & \verb+\SS+ \\
\ae & \verb+\ae+ \\
\AE & \verb+\AE+ \\
\oe & \verb+\oe+ \\
\OE & \verb+\OE+ 
\end{tabular}
&
\begin{tabular}{cl}
\textasciitilde & \verb+\textasciitilde+ \\
\textasciicircum & \verb+\textasciicircum+ \\
\textexclamdown & \verb+\textexclamdown+ \\
\textquestiondown & \verb+\textquestiondown+ \\
\textquoteleft & \verb+\textquoteleft+ \\
\textquoteright & \verb+\textquoteright+ \\
\textquotedblleft & \verb+\textquotedblleft+ \\
\textquotedblright & \verb+\textquotedblright+ \\
\textvisiblespace & \verb+\textvisiblespace+ \\
\textordmasculine & \verb+\textordmasculine+ \\
\textordfeminine & \verb+\textordfeminine+ \\
\textasteriskcentered & \verb+\textasteriskcentered+ \\
\textperiodcentered & \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{-1mm}
\hspace{-3mm} 
\begin{tabular}{|c|c|c|} \hline
\( \begin{array}{cl}
\neq & \verb+\neq+ \\
\leqslant & \verb+\leqslant+ \\
\geqslant & \verb+\geqslant+ \\
\approx & \verb+\approx+ \\
\equiv & \verb+\equiv+ \\
\cong & \verb+\cong+ \\
\simeq & \verb+\simeq+ \\
\partial & \verb+\partial+ \\
\infty & \verb+\infty+ \\
\nabla & \verb+\nabla+ \\
\aleph & \verb+\aleph+ \\
\ell & \verb+\ell+ \\
\vee & \verb+\vee+ \\
\wedge & \verb+\wedge+ \\
\forall & \verb+\forall+ \\
\exists & \verb+\exists+
\end{array} \)
&
\( \begin{array}{cl}
\pm  &\verb+\pm+ \\
\mp  &\verb+\mp+ \\
\times &\verb+\times+ \\
\div &\verb+\div+ \\
\cup & \verb+\cup+ \\
\cap & \verb+\cap+ \\
\in & \verb+\in+ \\
\notin & \verb+\notin+ \\
\setminus & \verb+\setminus+\\ 
\varnothing & \verb+\varnothing+ \\
\subset & \verb+\subset+ \\
\supset & \verb+\supset+ \\
\cdot & \verb+\cdot+ \\
\centerdot & \verb+\centerdot+ \\
\copyright & \verb+\copyright+ \\
\maltese & \verb+\maltese+ 
\end{array} \)
&
\( \begin{array}{cl}
\to & \verb+\to+ \\
\iff & \verb+\iff+ \\
\$ & \verb+\$+ \\
\pounds & \verb+\pounds+ \\
\% & \verb+\%+ \\
\& & \verb+\&+ \\
\{ & \verb+\{+ \\
\} & \verb+\}+ \\
\_ & \verb+\_+ \\
\P & \verb+\P+ \\
\S  & \verb+\S + \\
\ast & \verb+\ast+ \\
\dag & \verb+\dag+ \\
\ddag & \verb+\ddag+ \\
\bullet & \verb+\bullet+ \\
\wr & \verb+\wr+ 
\end{array} \)
\\ \hline
\end{tabular}
 
\end{frame}

\subsection[Greek]{Greek Letters}

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

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

\vspace{2mm}

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

\subsection[Binary]{Binary Operations and Relations}

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

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


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



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


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

\subsection{Inequalities}

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

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



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

\vspace{3mm}

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

\subsection{Arrows}

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


\begin{frame}[fragile]
\frametitle{Arrows II}
 
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\rightrightarrows & \verb+\rightrightarrows+ \\
\rightleftarrows & \verb+\rightleftarrows+ \\
\Rrightarrow  & \verb+\Rrightarrow + \\
\hookrightarrow & \verb+\hookrightarrow+ \\
\rightarrowtail & \verb+\rightarrowtail+ \\
\looparrowright & \verb+\looparrowright+ \\
\twoheadrightarrow & \verb+\twoheadrightarrow+ \\
\curvearrowright & \verb+\curvearrowright+ \\
\circlearrowright & \verb+\circlearrowright+ \\
\dashrightarrow   & \verb+\dashrightarrow  + \\
\Rsh & \verb+\Rsh+ \\
\upuparrows & \verb+\upuparrows+ \\
\mapsto & \verb+\mapsto+ \\
\longmapsto & \verb+\longmapsto+ 
\end{array} \)
&
\( \begin{array}{cl}
\leftleftarrows & \verb+\leftleftarrows+ \\
\leftrightarrows & \verb+\leftrightarrows+ \\
\Lleftarrow  & \verb+\Lleftarrow + \\
\hookleftarrow & \verb+\hookleftarrow+ \\
\leftarrowtail & \verb+\leftarrowtail+ \\
\looparrowleft & \verb+\looparrowleft+ \\
\twoheadleftarrow & \verb+\twoheadleftarrow+ \\
\curvearrowleft & \verb+\curvearrowleft+ \\
\circlearrowleft & \verb+\circlearrowleft+ \\
\dashleftarrow & \verb+\dashleftarrow+ \\
\Lsh & \verb+\Lsh+ \\
\downdownarrows & \verb+\downdownarrows+ \\
\rightsquigarrow & \verb+\rightsquigarrow+ \\
\leadsto & \verb+\leadsto+ 
\end{array} \)
\\ \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
\( \begin{array}{ccl}
 & \\[-2mm]
\ds\prod&\prod & \verb+\prod+ \\[3mm]
\ds\sum&\sum & \verb+\sum+ \\[3mm]
\ds\int&\int & \verb+\int+ \\[3mm]
\ds\oint&\oint & \verb+\oint+ \\[3mm]
\ds\iint&\iint & \verb+\iint+ \\[3mm]
\ds\iiint&\iiint & \verb+\iiint+ \\[3mm]
\ds\iiiint&\iiiint & \verb+\iiiint+ \\[3mm]
\ds\idotsint&\idotsint & \verb+\idotsint+ 
\end{array} \)
&
\( \begin{array}{ccl}
\ds\coprod&\coprod & \verb+\coprod+ \\[2mm]
\ds\bigcup&\bigcup & \verb+\bigcup+ \\[2mm]
\ds\bigcap&\bigcap & \verb+\bigcap+ \\[2mm]
\ds\biguplus&\biguplus & \verb+\biguplus+ \\[2mm]
\ds\bigsqcup&\bigsqcup & \verb+\bigsqcup+ \\[2mm]
\ds\bigvee&\bigvee & \verb+\bigvee+ \\[2mm]
\ds\bigwedge&\bigwedge & \verb+\bigwedge+ \\[2mm]
\ds\bigoplus&\bigoplus & \verb+\bigoplus+ \\[2mm]
\ds\bigotimes&\bigotimes & \verb+\bigotimes+ \\[2mm]
\ds\bigodot&\bigodot & \verb+\bigodot+ 
\end{array} \)
\\ \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
\( \begin{array}{ll}
\sin & \verb+\sin+ \\[1mm] 
\cos & \verb+\cos+ \\[1mm]
\tan & \verb+\tan+ \\[1mm]
\cot & \verb+\cot+ \\[1mm]
\sec & \verb+\sec+ \\[1mm]
\csc & \verb+\csc+ \\[1mm]
\ln & \verb+\ln+ \\[1mm]
\dim & \verb+\dim+ \\[1mm]
\deg & \verb+\deg+ 
\end{array} \)
&
\( \begin{array}{ll}
\arcsin & \verb+\arcsin+ \\[1mm]
\arccos & \verb+\arccos+ \\[1mm]
\arctan & \verb+\arctan+ \\[1mm]
\arg & \verb+\arg+ \\[1mm]
m \mod n & \verb+m\mod n+ \\[1mm]
m \bmod n & \verb+m\bmod n+ \\[1mm]
m \pmod n & \verb+m\pmod n+ \\[1mm]
m \pod n & \verb+m\pod n+ \\[1mm]
 & \verb++
\end{array} \)
&
\( \begin{array}{ll}
\sinh & \verb+\sinh+ \\[1mm]
\cosh & \verb+\cosh+ \\[1mm]
\tanh & \verb+\tanh+ \\[1mm]
\coth & \verb+\coth+ \\[1mm]
\lg & \verb+\lg+ \\[1mm]
\log & \verb+\log+ \\[1mm]
\exp & \verb+\exp+ \\[1mm]
\hom & \verb+\hom+ \\[1mm]
\ker & \verb+\ker+ \\[1mm]
\end{array} \)
\\ \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
\( \begin{array}{ll}
 \min & \verb+\min+ \\[1mm]
 \max & \verb+\max+ \\[1mm]
 \inf & \verb+\inf+ \\[1mm]
 \sup & \verb+\sup+ \\[1mm]
 \det & \verb+\det+ \\[1mm]
 \gcd & \verb+\gcd+ \\[1mm]
  \Pr & \verb+\Pr+ \\[1mm]
 \lim & \verb+\lim+ 
\end{array} \)
&
\( \begin{array}{ll}
 \liminf & \verb+\liminf+ \\[1mm]
 \varliminf & \verb+\varliminf+ \\[1mm]
 \limsup & \verb+\limsup+ \\[1mm]
 \varlimsup & \verb+\varlimsup+ \\[1mm]
 \injlim & \verb+\injlim+ \\[1mm]
 \varinjlim & \verb+\varinjlim+ \\[1mm]
 \projlim & \verb+\projlim+ \\[1mm]
 \varprojlim & \verb+\varprojlim+ 
 \end{array} \)
\\ \hline
\end{tabular}
\end{frame}


\subsection[Miscel.]{Miscellaneous Symbols}

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

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

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


\subsection[Alphabet]{Mathematical Alphabets}

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

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


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

\( \begin{array}{|l|l|} \hline
\begin{array}{l}
 \\[-3mm]
\mathbf{ABCDEFGHIJKLMN}  \\
\mathbf{OPQRSTUVWXYZ} \\[1mm]
\mathbf{abcdefghijklmnopqrstuvwxyz}\\
\mathbf{1234567890} \\[1mm]
\end{array}
& \verb+\mathbf{...}+ \\ \hline
\begin{array}{l}
 \\[-2mm]
\mathscr{ABCDEFGHIJKLMN}  \\
\mathscr{OPQRSTUVWXYZ} \\[2mm]
\mbox{(Include \upc{mathrsfs} } \\
\mbox{before \bd)} \\[2mm]
\end{array}
& \verb+\mathscr{...}+ \\ \hline
\begin{array}{l}
 \\[-2mm]
\mathcal{ABCDEFGHIJKLMN}  \\
\mathcal{OPQRSTUVWXYZ} \\[2mm]
\end{array}
& \verb+\mathcal{...}+ \\ \hline
\end{array} \)
 
\end{frame}


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

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

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

\( \begin{array}{|l|l|} \hline
\begin{array}{l}
 \\[-2mm]
\mathbb{ABCDEFGHIJKLMN}  \\
\mathbb{OPQRSTUVWXYZ} \\[2mm]
\end{array}
& \verb+\mathbb{...}+ \\ \hline
\begin{array}{l}
 \\[-2mm]
\varmathbb{ABCDEFGHIJKLMN}  \\
\varmathbb{OPQRSTUVWXYZ} \\[2mm]
\end{array}
& \verb+\varmathbb{...}+ \\ \hline
\end{array} \)
\end{frame}



\subsection{Brackets}

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



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

\vspace{3mm}

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

\subsection{Dots}

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

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


\subsection[Var. Size]{Variable Size}   

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

\vspace{1mm}

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


\section[EXTRA]{Extra Packages}

\subsection{Txfonts}

\begin{frame}[fragile]
\frametitle{Txfonts I}
\framesubtitle{Include \upc{txfonts} before \bd} 

\begin{tabular}{|c|c|} \hline 
& \\[-3mm]
\( \begin{array}{cl}
\bigsqcapplus  & \verb+\bigsqcapplus+\hspace{-1mm} \\[1.4mm]
\bigsqcupplus & \verb+\bigsqcupplus+\hspace{-1mm} \\[1.4mm]
\iint & \verb+\iint+ \\[1.4mm]
\iiint & \verb+\iiint+ \\[1.4mm]
\iiiint & \verb+\iiiint+ \\[1.4mm]
\sqint & \verb+\sqint+ \\[1.4mm]
\sqiint & \verb+\sqiint+ \\[1.4mm]
\sqiiint & \verb+\sqiiint+ \\[1.4mm]
\idotsint & \verb+\idotsint+ \\[1.4mm]
\fint & \verb+\fint+ \\[1.4mm]
\oiint & \verb+\oiint+ \\[1.4mm]
\oiiint & \verb+\oiiint+
\end{array} \) 
&
\( \begin{array}{cl}
\ointclockwise & \verb+\ointclockwise+ \\[1.4mm]
\ointctrclockwise & \verb+\ointctrclockwise+ \\[1.4mm]
\oiintclockwise & \verb+\oiintclockwise+ \\[1.4mm]
\oiintctrclockwise & \verb+\oiintctrclockwise+ \\[1.4mm]
\oiiintclockwise & \verb+\oiiintclockwise+ \\[1.4mm]
\oiiintctrclockwise & \verb+\oiiintctrclockwise+ \\[1.4mm]
\varointclockwise & \verb+\varointclockwise+ \\[1.4mm]
\varointctrclockwise & \verb+\varointctrclockwise+ \\[1.4mm]
\varoiintclockwise & \verb+\varoiintclockwise+ \\[1.4mm]
\varoiintctrclockwise & \verb+\varoiintctrclockwise+ \\[1.4mm]
\varoiiintclockwise & \verb+\varoiiintclockwise+ \\[1.4mm]
\varoiiintctrclockwise & \verb+\varoiiintctrclockwise+\hspace{-1mm} 
\end{array} \)
\\[-3mm]
& \\ \hline
\end{tabular}
\end{frame}


\begin{frame}[fragile]
\frametitle{Txfonts II}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\varprod & \verb+\varprod+ \\[1mm]
\circledless & \verb+\circledless+ \\[1mm]
\circledgtr & \verb+\circledgtr+ \\[1mm]
\lJoin & \verb+\lJoin+ \\[1mm]
\rJoin & \verb+\rJoin+ \\[1mm]
\opentimes & \verb+\opentimes+ \\[1mm]
\openJoin & \verb+\openJoin+ \\[1mm]
\lrtimes & \verb+\lrtimes+ \\[1mm]
\Perp & \verb+\Perp+ \\[1mm]
\preceqq & \verb+\preceqq+ \\[1mm]
\precneqq & \verb+\precneqq+ \\[1mm]
\succeqq & \verb+\succeqq+ \\[1mm]
\succneqq & \verb+\succneqq+ 
\end{array} \) 
&
\( \begin{array}{cl}
\multimap & \verb+\multimap+ \\[1mm]
\multimapdot & \verb+\multimapdot+ \\[1mm]
\multimapinv & \verb+\multimapinv+ \\[1mm]
\multimapdotinv & \verb+\multimapdotinv+ \\[1mm]
\multimapboth & \verb+\multimapboth+ \\[1mm]
\multimapdotboth & \verb+\multimapdotboth+ \\[1mm]
\multimapdotbothA & \verb+\multimapdotbothA+ \\[1mm]
\multimapdotbothB & \verb+\multimapdotbothB+ \\[1mm]
\multimapbothvert & \verb+\multimapbothvert+ \\[1mm]
\multimapdotbothvert & \verb+\multimapdotbothvert+ \\[1mm]
\multimapdotbothAvert & \verb+\multimapdotbothAvert+ \\[1mm]
\multimapdotbothBvert & \verb+\multimapdotbothBvert+ \\[1mm]
\VvDash & \verb+\VvDash+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}


\begin{frame}[fragile]
\frametitle{Txfonts III}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\coloneq  & \verb+\coloneq+ \\[0.6mm]
\Coloneq & \verb+\Coloneq+ \\[0.6mm]
\coloneqq& \verb+\coloneqq+ \\[0.6mm]
\Coloneqq & \verb+\Coloneqq+ \\[0.6mm]
\eqcolon & \verb+\eqcolon+ \\[0.6mm]
\Eqcolon & \verb+\Eqcolon+ \\[0.6mm]
\eqqcolon & \verb+\eqqcolon+ \\[0.6mm]
\Eqqcolon & \verb+\Eqqcolon+ \\[0.6mm]
\colonsim & \verb+\colonsim+ \\[0.6mm]
\Colonsim & \verb+\Colonsim+ \\[0.6mm]
\colonapprox & \verb+\colonapprox+ \\[0.6mm]
\Colonapprox & \verb+\Colonapprox+ \\[0.6mm]
\eqsim & \verb+\eqsim+ 
\end{array} \) 
&
\( \begin{array}{cl}
\varg & \verb+\varg+ \\[0.6mm]
\varv & \verb+\varv+ \\[0.6mm]
\varw & \verb+\varw+ \\[0.6mm]
\vary & \verb+\vary+ \\[0.6mm]
\mathcent & \verb+\mathcent+ \\[0.6mm]
\mathsterling & \verb+\mathsterling+ \\[0.6mm]
\notin & \verb+\notin+ \\[0.6mm]
\notni & \verb+\notni+ \\[0.6mm]
\strictif & \verb+\strictif+ \\[0.6mm]
\strictfi & \verb+\strictfi+ \\[0.6mm]
\strictiff & \verb+\strictiff+ \\[0.6mm]
\varparallel & \verb+\varparallel+ \\[0.6mm]
\varparallelinv & \verb+\varparallelinv+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}



\begin{frame}[fragile]
\frametitle{Txfonts IV}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\nequiv & \verb+\nequiv+ \\
\napproxeq & \verb+\napproxeq+ \\
\nthickapprox & \verb+\nthickapprox+ \\
\nsimeq & \verb+\nsimeq+ \\
\nbacksimeq & \verb+\nbacksimeq+ \\
\nasymp & \verb+\nasymp+ \\
\nbacksim & \verb+\nbacksim+ \\
\npreccurlyeq & \verb+\npreccurlyeq+ \\
\npreceqq & \verb+\npreceqq+ \\
\nprecsim & \verb+\nprecsim+ \\
\nprecapprox & \verb+\nprecapprox+ \\
\nll & \verb+\nll+ \\
\nlesssim & \verb+\nlesssim+ \\
\nlessapprox & \verb+\nlessapprox+ \\
\nlessgtr & \verb+\nlessgtr+ 
\end{array} \) 
&
\( \begin{array}{cl}
\nvarparallel & \verb+\nvarparallel+ \\
\nvarparallelinv & \verb+\nvarparallelinv+ \\
\nbumpeq & \verb+\nbumpeq+ \\
\nBumpeq & \verb+\nBumpeq+ \\
\nVdash & \verb+\nVdash+ \\
\ntwoheadleftarrow & \verb+\ntwoheadleftarrow+ \\
\ntwoheadrightarrow & \verb+\ntwoheadrightarrow+ \\
\nsucccurlyeq & \verb+\nsucccurlyeq+ \\
\nsucceqq & \verb+\nsucceqq+ \\
\nsuccsim & \verb+\nsuccsim+ \\
\nsuccapprox & \verb+\nsuccapprox+ \\
\ngg & \verb+\ngg+ \\
\ngtrsim & \verb+\ngtrsim+ \\
\ngtrapprox & \verb+\ngtrapprox+ \\
\ngtrless & \verb+\ngtrless+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}



\begin{frame}[fragile]
\frametitle{Txfonts V}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\circledbar & \verb+\circledbar+ \\
\circledwedge & \verb+\circledwedge+ \\
\circledvee & \verb+\circledvee+ \\
\circledbslash & \verb+\circledbslash+ \\
\medcirc & \verb+\medcirc+ \\
\medbullet & \verb+\medbullet+ \\
\invamp & \verb+\invamp+ \\
\sqcapplus & \verb+\sqcapplus+ \\
\sqcupplus & \verb+\sqcupplus+ \\
\mappedfromchar & \verb+\mappedfromchar+ \\
\mmappedfromchar & \verb+\mmappedfromchar+ \\
\Mappedfromchar & \verb+\Mappedfromchar+ \\
\Mmappedfromchar & \verb+\Mmappedfromchar+ \\
\mmapstochar & \verb+\mmapstochar+ \\
\Mmapstochar & \verb+\Mmapstochar+ 
\end{array} \) 
&
\( \begin{array}{cl}
\nsqsubset & \verb+\nsqsubset+ \\
\nsqsupset & \verb+\nsqsupset+ \\
\nsqsubseteq & \verb+\nsqsubseteq+ \\
\nsqsupseteq & \verb+\nsqsupseteq+ \\
\nSubset & \verb+\nSubset+ \\
\nSupset & \verb+\nSupset+ \\
\nsubseteqq & \verb+\nsubseteqq+ \\ 
\Diamonddot & \verb+\Diamonddot+ \\
\Diamondblack & \verb+\Diamondblack+ \\
\lambdabar & \verb+\lambdabar+ \\
\lambdaslash & \verb+\lambdaslash+ \\
\varheartsuit & \verb+\varheartsuit+ \\
\varclubsuit & \verb+\varclubsuit+ \\
\varspadesuit & \verb+\varspadesuit+ \\
\vardiamondsuit & \verb+\vardiamondsuit+ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}


\begin{frame}[fragile]
\frametitle{Txfonts VI}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\circleright & \verb+\circleright+ \\
\circleddotright & \verb+\circleddotright+ \\
\boxright & \verb+\boxright+ \\
\boxRight & \verb+\boxRight+ \\
\boxdotright & \verb+\boxdotright+ \\
\boxdotRight & \verb+\boxdotRight+ \\
\Diamondright & \verb+\Diamondright+ \\
\DiamondRight & \verb+\DiamondRight+ \\
\Diamonddotright & \verb+\Diamonddotright+ \\
\DiamonddotRight & \verb+\DiamonddotRight+ \\
\Nearrow & \verb+\Nearrow+ \\
\Searrow & \verb+\Searrow+ \\
\Rrightarrow & \verb+\Rrightarrow+ \\
\dashleftrightarrow & \verb+\dashleftrightarrow+ 
\end{array} \) 
&
\( \begin{array}{cl}
\circleleft & \verb+\circleleft+ \\
\circleddotleft & \verb+\circleddotleft+ \\
\boxleft & \verb+\boxleft+ \\
\boxLeft & \verb+\boxLeft+ \\
\boxdotleft & \verb+\boxdotleft+ \\
\boxdotLeft & \verb+\boxdotLeft+ \\
\Diamondleft & \verb+\Diamondleft+ \\
\DiamondLeft & \verb+\DiamondLeft+ \\
\Diamonddotleft & \verb+\Diamonddotleft+ \\
\DiamonddotLeft & \verb+\DiamonddotLeft+ \\
\Nwarrow & \verb+\Nwarrow+ \\
\Swarrow & \verb+\Swarrow+ \\
\leftsquigarrow & \verb+\leftsquigarrow+ \\
 & \verb++ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}



\begin{frame}[fragile]
\frametitle{Txfonts VII}
\begin{tabular}{|c|c|} \hline
\( \begin{array}{cl}
\alphaup & \verb+\alphaup+ \\
\betaup & \verb+\betaup+ \\
\gammaup & \verb+\gammaup+ \\
\deltaup & \verb+\deltaup+ \\
\lambdaup & \verb+\lambdaup+ \\
\omegaup & \verb+\omegaup+ \\
\psiup & \verb+\psiup+ \\
\chiup & \verb+\chiup+ \\
\rhoup & \verb+\rhoup+ \\
\epsilonup & \verb+\epsilonup+ \\
\piup & \verb+\piup+ \\
\phiup & \verb+\phiup+ \\
\sigmaup & \verb+\sigmaup+ \\
\thetaup & \verb+\thetaup+ \\
\kappaup & \verb+\kappaup+ 
\end{array} \) 
&
\( \begin{array}{cl}
\upsilonup & \verb+\upsilonup+ \\
\xiup & \verb+\xiup+ \\
\tauup & \verb+\tauup+ \\
\iotaup & \verb+\iotaup+ \\
\etaup & \verb+\etaup+ \\
\zetaup & \verb+\zetaup+ \\
\muup & \verb+\muup+ \\
\nuup & \verb+\nuup+ \\
\varrhoup & \verb+\varrhoup+ \\
\varepsilonup & \verb+\varepsilonup+ \\
\varpiup & \verb+\varpiup+ \\
\varphiup & \verb+\varphiup+ \\
\varsigmaup & \verb+\varsigmaup+ \\
\varthetaup & \verb+\varthetaup+ \\
 & \verb++ 
\end{array} \)
\\ \hline
\end{tabular}
\end{frame}

\subsection{Textcomp}

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

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

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



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


\begin{frame}[fragile]
\frametitle{Textcomp IV}
\begin{tabular}{|cl|} \hline
\textreferencemark & \verb+\textreferencemark+ \\
\textpertenthousand & \verb+\textpertenthousand+ \\
\textperthousand & \verb+\textperthousand+ \\
\textasteriskcentered & \verb+\textasteriskcentered+ \\
\textperiodcentered & \verb+\textperiodcentered+ \\
\textordfeminine & \verb+\textordfeminine+ \\
\textordmasculine & \verb+\textordmasculine+ \\
\textfractionsolidus & \verb+\textfractionsolidus+ \\
\textdblhyphen  & \verb+\textdblhyphen + \\
\textdblhyphenchar & \verb+\textdblhyphenchar+ \\
\textquotestraightbase & \verb+\textquotestraightbase+ \\
\textquotestraightdblbase & \verb+\textquotestraightdblbase+ \\
\textinterrobang & \verb+\textinterrobang+ \\
\textinterrobangdown & \verb+\textinterrobangdown+ \\
\textthreequartersemdash & \verb+\textthreequartersemdash+ \\
\texttwelveudash & \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 & \verb+\EUR+ \\
\EURdig & \verb+\EURdig+ \\
\EURtm & \verb+\EURtm+ \\
\EURcr & \verb+\EURcr+ \\
\EURhv & \verb+\EURhv+ \\
\Pfund & \verb+\Pfund+ \\
\Ecommerce & \verb+\Ecommerce+ \\
\EyesDollar & \verb+\EyesDollar+ 
\end{tabular}
&
\begin{tabular}{cl}
\Denarius & \verb+\Denarius+ \\
\Shilling & \verb+\Shilling+ \\
\Anglesign  & \verb+\Anglesign + \\
\Squaredot & \verb+\Squaredot+ \\
\Corresponds & \verb+\Corresponds+ \\
\Vectorarrow & \verb+\Vectorarrow+ \\
\Vectorarrowhigh & \verb+\Vectorarrowhigh+ \\
\MVRightarrow & \verb+\MVRightarrow+ 
\end{tabular} 
\\ \hline
\end{tabular}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\Ankh & \verb+\Ankh+ \\
\Cross & \verb+\Cross+ \\
\Celtcross & \verb+\Celtcross+ \hspace{0.4mm}\\
\Heart & \verb+\Heart+ \\
\Bat & \verb+\Bat+ \\
\FHBOlogo & \verb+\FHBOlogo+ \\
\FHBOLOGO & \verb+\FHBOLOGO+ \\
\FullFHBO & \verb+\FullFHBO+ 
\end{tabular} \)
&
\( \begin{tabular}{cl}
\Womanface & \verb+\Womanface+ \\
\MartinVogel & \verb+\MartinVogel+ \\
\Bouquet & \verb+\Bouquet+ \\
\Mundus & \verb+\Mundus+ \\
\Yinyang & \verb+\Yinyang+ \\
\Smiley & \verb+\Smiley+ \\
\Frowny & \verb+\Frowny+ \\
\CircledA & \verb+\CircledA+ \\
\end{tabular} \)
\\ \hline
\end{tabular}
\end{frame}

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

\vspace{1mm}

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

\vspace{1mm}

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



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

\vspace{3mm}

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

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


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

\vspace{3mm}

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

\begin{frame}[fragile]
\frametitle{Marvosym VI}
\begin{tabular}{|c|c|} \hline
\( \begin{tabular}{cl}
\CleaningA & \verb+\CleaningA+ \\
\CleaningF & \verb+\CleaningF+ \\
\CleaningFF & \verb+\CleaningFF+ \\
\CleaningP & \verb+\CleaningP+ \\
\CleaningPP & \verb+\CleaningPP+ \\
\Tumbler & \verb+\Tumbler+ \\
\NoTumbler & \verb+\NoTumbler+ \\
\NoChemicalCleaning & \verb+\NoChemicalCleaning+ \\
\Bleech & \verb+\Bleech+ \\
\NoBleech & \verb+\NoBleech+ \\
\IroningI & \verb+\IroningI+ \\
\IroningII & \verb+\IroningII+ \\
\IroningIII & \verb+\IroningIII+ \\
\NoIroning & \verb+\NoIroning+ 
\end{tabular} \)
&
\( \begin{tabular}{cl}
\AtForty & \verb+\AtForty+ \\
\AtSixty & \verb+\AtSixty+ \\
\AtNinetyFive & \verb+\AtNinetyFive+ \\
\ShortThirty & \verb+\ShortThirty+ \\
\ShortForty & \verb+\ShortForty+ \\
\ShortFifty & \verb+\ShortFifty+ \\
\ShortSixty & \verb+\ShortSixty+ \\
\ShortNinetyFive & \verb+\ShortNinetyFive+ \\
\SpecialForty & \verb+\SpecialForty+ \\
\WashCotton & \verb+\WashCotton+ \\
\WashSynthetics & \verb+\WashSynthetics+ \\
\WashWool & \verb+\WashWool+ \\
\Handwash & \verb+\Handwash+ \\
\Dontwash & \verb+\Dontwash+ 
\end{tabular} \)
\\ \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}	&	\verb+\ding{37}+\\
\ding{38}	&	\verb+\ding{38}+\\
\ding{39}	&	\verb+\ding{39}+\\
\ding{40}	&	\verb+\ding{40}+\\
\ding{41}	&	\verb+\ding{41}+\\
\ding{42}	&	\verb+\ding{42}+\\
\ding{43}	&	\verb+\ding{43}+\\
\ding{44}	&	\verb+\ding{44}+\\
\ding{45}	&	\verb+\ding{45}+\\
\ding{46}	&	\verb+\ding{46}+\\
\ding{47}	&	\verb+\ding{47}+\\
\ding{48}	&	\verb+\ding{48}+\\
\ding{49}	&	\verb+\ding{49}+\\
\ding{50}	&	\verb+\ding{50}+\\
\ding{51}	&	\verb+\ding{51}+\\
\ding{52}	&	\verb+\ding{52}+\\
\end{tabular} 				
&				
\begin{tabular}{cl}				
\ding{53}	&	\verb+\ding{53}+\\
\ding{54}	&	\verb+\ding{54}+\\
\ding{55}	&	\verb+\ding{55}+\\
\ding{56}	&	\verb+\ding{56}+\\
\ding{57}	&	\verb+\ding{57}+\\
\ding{58}	&	\verb+\ding{58}+\\
\ding{59}	&	\verb+\ding{59}+\\
\ding{60}	&	\verb+\ding{60}+\\
\ding{61}	&	\verb+\ding{61}+\\
\ding{62}	&	\verb+\ding{62}+\\
\ding{63}	&	\verb+\ding{63}+\\
\ding{64}	&	\verb+\ding{64}+\\
\ding{65}	&	\verb+\ding{65}+\\
\ding{66}	&	\verb+\ding{66}+\\
\ding{67}	&	\verb+\ding{67}+\\
\ding{68}	&	\verb+\ding{68}+\\
\end{tabular} 				
&
\begin{tabular}{cl}				
\ding{69}	&	\verb+\ding{69}+\\
\ding{70}	&	\verb+\ding{70}+\\
\ding{71}	&	\verb+\ding{71}+\\
\ding{72}	&	\verb+\ding{72}+\\
\ding{73}	&	\verb+\ding{73}+\\
\ding{74}	&	\verb+\ding{74}+\\
\ding{75}	&	\verb+\ding{75}+\\
\ding{76}	&	\verb+\ding{76}+\\
\ding{77}	&	\verb+\ding{77}+\\
\ding{78}	&	\verb+\ding{78}+\\
\ding{79}	&	\verb+\ding{79}+\\
\ding{80}	&	\verb+\ding{80}+\\
\ding{81}	&	\verb+\ding{81}+\\
\ding{82}	&	\verb+\ding{82}+\\
\ding{83}	&	\verb+\ding{83}+\\
\ding{84}	&	\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}	&	\verb+\ding{85}+\\
\ding{86}	&	\verb+\ding{86}+\\
\ding{87}	&	\verb+\ding{87}+\\
\ding{88}	&	\verb+\ding{88}+\\
\ding{89}	&	\verb+\ding{89}+\\
\ding{90}	&	\verb+\ding{90}+\\
\ding{91}	&	\verb+\ding{91}+\\
\ding{92}	&	\verb+\ding{92}+\\
\ding{93}	&	\verb+\ding{93}+\\
\ding{94}	&	\verb+\ding{94}+\\
\ding{95}	&	\verb+\ding{95}+\\
\ding{96}	&	\verb+\ding{96}+\\
\ding{97}	&	\verb+\ding{97}+\\
\ding{98}	&	\verb+\ding{98}+\\
\ding{99}	&	\verb+\ding{99}+\\
\ding{100}	&	\verb+\ding{100}+\\
\end{tabular}\hspace{-3mm}
&				
\begin{tabular}{cl}				
\ding{101}	&	\verb+\ding{101}+\\
\ding{102}	&	\verb+\ding{102}+\\
\ding{103}	&	\verb+\ding{103}+\\
\ding{104}	&	\verb+\ding{104}+\\
\ding{105}	&	\verb+\ding{105}+\\
\ding{106}	&	\verb+\ding{106}+\\
\ding{107}	&	\verb+\ding{107}+\\
\ding{108}	&	\verb+\ding{108}+\\
\ding{109}	&	\verb+\ding{109}+\\
\ding{110}	&	\verb+\ding{110}+\\
\ding{111}	&	\verb+\ding{111}+\\
\ding{112}	&	\verb+\ding{112}+\\
\ding{113}	&	\verb+\ding{113}+\\
\ding{114}	&	\verb+\ding{114}+\\
\ding{115}	&	\verb+\ding{115}+\\
\ding{116}	&	\verb+\ding{116}+\\
\end{tabular}\hspace{-3mm}
&
\begin{tabular}{cl}				
\ding{117}	&	\verb+\ding{117}+\\
\ding{118}	&	\verb+\ding{118}+\\
\ding{119}	&	\verb+\ding{119}+\\
\ding{120}	&	\verb+\ding{120}+\\
\ding{121}	&	\verb+\ding{121}+\\
\ding{122}	&	\verb+\ding{122}+\\
\ding{123}	&	\verb+\ding{123}+\\
\ding{124}	&	\verb+\ding{124}+\\
\ding{125}	&	\verb+\ding{125}+\\
\ding{126}	&	\verb+\ding{126}+\\
\ding{161}	&	\verb+\ding{161}+\\
\ding{162}	&	\verb+\ding{162}+\\
\ding{163}	&	\verb+\ding{163}+\\
\ding{164}	&	\verb+\ding{164}+\\
\ding{165}	&	\verb+\ding{165}+\\
\ding{166}	&	\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}	&	\verb+\ding{167}+\\
\ding{168}	&	\verb+\ding{168}+\\
\ding{169}	&	\verb+\ding{169}+\\
\ding{170}	&	\verb+\ding{170}+\\
\ding{171}	&	\verb+\ding{171}+\\
&	\verb++\\
\ding{172}	&	\verb+\ding{172}+\\
\ding{173}	&	\verb+\ding{173}+\\
\ding{174}	&	\verb+\ding{174}+\\
\ding{175}	&	\verb+\ding{175}+\\
\ding{176}	&	\verb+\ding{176}+\\
\ding{177}	&	\verb+\ding{177}+\\
\ding{178}	&	\verb+\ding{178}+\\
\ding{179}	&	\verb+\ding{179}+\\
\ding{180}	&	\verb+\ding{180}+\\
\ding{181}	&	\verb+\ding{181}+\\
\end{tabular} \hspace{-3mm} 				
&				
\begin{tabular}{cl}
\ding{182}	&	\verb+\ding{182}+\\
\ding{183}	&	\verb+\ding{183}+\\
\ding{184}	&	\verb+\ding{184}+\\
\ding{185}	&	\verb+\ding{185}+\\
\ding{186}	&	\verb+\ding{186}+\\
\ding{187}	&	\verb+\ding{187}+\\				
\ding{188}	&	\verb+\ding{188}+\\
\ding{189}	&	\verb+\ding{189}+\\
\ding{190}	&	\verb+\ding{190}+\\
\ding{191}	&	\verb+\ding{191}+\\
\ding{192}	&	\verb+\ding{192}+\\
\ding{193}	&	\verb+\ding{193}+\\
\ding{194}	&	\verb+\ding{194}+\\
\ding{195}	&	\verb+\ding{195}+\\
\ding{196}	&	\verb+\ding{196}+\\
\ding{197}	&	\verb+\ding{197}+\\
\end{tabular} \hspace{-3mm}
&				
\begin{tabular}{cl}				
\ding{198}	&	\verb+\ding{198}+\\
\ding{199}	&	\verb+\ding{199}+\\
\ding{200}	&	\verb+\ding{200}+\\
\ding{201}	&	\verb+\ding{201}+\\
\ding{202}	&	\verb+\ding{202}+\\
\ding{203}	&	\verb+\ding{203}+\\
\ding{204}	&	\verb+\ding{204}+\\
\ding{205}	&	\verb+\ding{205}+\\
\ding{206}	&	\verb+\ding{206}+\\
\ding{207}	&	\verb+\ding{207}+\\
\ding{208}	&	\verb+\ding{208}+\\
\ding{209}	&	\verb+\ding{209}+\\
\ding{210}	&	\verb+\ding{210}+\\
\ding{211}	&	\verb+\ding{211}+\\
	&	\verb++\\
	&	\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}	&	\verb+\ding{212}+\\
\ding{213}	&	\verb+\ding{213}+\\
\ding{214}	&	\verb+\ding{214}+\\
\ding{215}	&	\verb+\ding{215}+\\
\ding{216}	&	\verb+\ding{216}+\\
\ding{217}	&	\verb+\ding{217}+\\
\ding{218}	&	\verb+\ding{218}+\\
\ding{219}	&	\verb+\ding{219}+\\
\ding{220}	&	\verb+\ding{220}+\\
\ding{221}	&	\verb+\ding{221}+\\
\ding{222}	&	\verb+\ding{222}+\\
\ding{223}	&	\verb+\ding{223}+\\
\ding{224}	&	\verb+\ding{224}+\\
\ding{225}	&	\verb+\ding{225}+\\
\ding{226}	&	\verb+\ding{226}+\\
\ding{227}	&	\verb+\ding{227}+\\
\end{tabular} \hspace{-3mm} 				
&				
\begin{tabular}{cl}				
\ding{228}	&	\verb+\ding{228}+\\
\ding{229}	&	\verb+\ding{229}+\\
\ding{230}	&	\verb+\ding{230}+\\
\ding{231}	&	\verb+\ding{231}+\\
\ding{232}	&	\verb+\ding{232}+\\
\ding{233}	&	\verb+\ding{233}+\\
\ding{234}	&	\verb+\ding{234}+\\
\ding{235}	&	\verb+\ding{235}+\\
\ding{236}	&	\verb+\ding{236}+\\
\ding{237}	&	\verb+\ding{237}+\\
\ding{238}	&	\verb+\ding{238}+\\
\ding{239}	&	\verb+\ding{239}+\\
\ding{241}	&	\verb+\ding{241}+\\
\ding{242}	&	\verb+\ding{242}+\\
\ding{243}	&	\verb+\ding{243}+\\
\ding{244}	&	\verb+\ding{244}+\\
\end{tabular} \hspace{-3mm}				
&				
\begin{tabular}{cl}				
\ding{245}	&	\verb+\ding{245}+\\
\ding{246}	&	\verb+\ding{246}+\\
\ding{247}	&	\verb+\ding{247}+\\
\ding{248}	&	\verb+\ding{248}+\\
\ding{249}	&	\verb+\ding{249}+\\
\ding{250}	&	\verb+\ding{250}+\\
\ding{251}	&	\verb+\ding{251}+\\
\ding{252}	&	\verb+\ding{252}+\\
\ding{253}	&	\verb+\ding{253}+\\
\ding{254}	&	\verb+\ding{254}+\\
	&	\verb++\\
\ding{33}	&	\verb+\ding{33}+\\
\ding{34}	&	\verb+\ding{34}+\\
\ding{35}	&	\verb+\ding{35}+\\
\ding{36}	&	\verb+\ding{36}+\\
	&	\verb++
\end{tabular}\hspace{-2mm}
\\ \hline				
\end{tabular}				
\end{frame}				


\subsection{Chemarrow}

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

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



\end{document}