Initial commit

1 files changed, 2318 insertions, 0 deletions

diff --git a/info/symbols/compact/LaTeXSymbolsTX.tex b/info/symbols/compact/LaTeXSymbolsTX.tex
new file mode 100644
index 0000000000..6911bfca0c
--- /dev/null
+++ b/info/symbols/compact/LaTeXSymbolsTX.tex
@@ -0,0 +1,2318 @@
+\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}
\ No newline at end of file