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Add HASY draft without content

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Martin Thoma 2017-01-17 12:29:15 +01:00
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main.tex toplevelfile
nohypertex

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DOKUMENT = main
make:
pdflatex $(DOKUMENT).tex -output-format=pdf # Referenzen erstellen
bibtex $(DOKUMENT)
pdflatex $(DOKUMENT).tex -output-format=pdf # Referenzen einbinden
pdflatex $(DOKUMENT).tex -output-format=pdf # Referenzen einbinden
make clean
ebook:
latexml --dest=$(DOKUMENT).xml $(DOKUMENT).tex
latexmlpost -dest=$(DOKUMENT).html $(DOKUMENT).xml
ebook-convert $(DOKUMENT).html $(DOKUMENT).epub --language de --no-default-epub-cover
arxiv:
zip -r upload.zip . -x \*.git\* -x MAKEFILE -x *.zip -x *.pdf
clean:
rm -rf $(TARGET) *.class *.html *.aux *.out *.thm *.idx *.toc *.ilg *.glg *.glo *.gls *.ist *.xdy *.fdb_latexmk *.bak *.blg *.glsdefs *.acn *.acr *.alg *.nls *.nlo *.bak *.pyg *.lot *.lof *.xmpdata *.xmpi *.bbl
rm -rf _minted-booka4
rm -rf *.log # Analyze this for errors
# rm -rf *.bbl *.ind # Needed for arxiv

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\begin{abstract}
This paper describes a dataset of single symbols similar to MNIST. It contains
\dbTotalInstances~instances of \dbTotalClasses~classes, split into training
and test set in a stratified manner.
\end{abstract}

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%!TEX root = main.tex
\appendix
\input{used-latex-symbols}

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% This file was created with JabRef 2.10.
% Encoding: UTF-8
@Misc{Kirsch2014,
Title = {Detexify data},
Author = {Daniel Kirsch},
Month = jul,
Year = {2014},
Url = {https://github.com/kirel/detexify-data}
}
@MastersThesis{Kirsch,
Title = {Detexify: Erkennung handgemalter {L}a{T}e{X}-Symbole},
Author = {Daniel Kirsch},
School = {Westfälische Wilhelms-Universität Münster},
Year = {2010},
Month = {10},
Type = {Diploma thesis},
Url = {http://danielkirs.ch/thesis.pdf}
}
@Article{LeNet-5,
Title = {Gradient-based learning applied to document recognition},
Author = {LeCun, Yann and Bottou, L{\'e}on and Bengio, Yoshua and Haffner, Patrick},
Journal = {Proceedings of the IEEE},
Year = {1998},
Month = nov,
Number = {11},
Pages = {2278-2324},
Volume = {86},
Doi = {10.1109/5.726791},
ISSN = {0018-9219},
Keywords = {backpropagation;convolution;multilayer perceptrons;optical character recognition;2D shape variability;GTN;back-propagation;cheque reading;complex decision surface synthesis;convolutional neural network character recognizers;document recognition;document recognition systems;field extraction;gradient based learning technique;gradient-based learning;graph transformer networks;handwritten character recognition;handwritten digit recognition task;high-dimensional patterns;language modeling;multilayer neural networks;multimodule systems;performance measure minimization;segmentation recognition;Character recognition;Feature extraction;Hidden Markov models;Machine learning;Multi-layer neural network;Neural networks;Optical character recognition software;Optical computing;Pattern recognition;Principal component analysis},
Url = {http://yann.lecun.com/exdb/publis/pdf/lecun-01a.pdf}
}
@MastersThesis{Thoma:2014,
Title = {On-line {Recognition} of {Handwritten} {Mathematical} {Symbols}},
Author = {Martin Thoma},
School = {Karlsruhe Institute of Technology},
Year = {2014},
Address = {Karlsruhe, Germany},
Month = nov,
Type = {Bachelors Thesis},
Keywords = {handwriting recognition; on-line; machine learning;
artificial neural networks; mathematics; classification;
supervised learning; MLP; multilayer perceptrons; hwrt;
write-math},
Url = {http://martin-thoma.com/write-math}
}
@Misc{TF-MNIST-2016,
Title = {Deep MNIST for Experts},
Month = dec,
Year = {2016},
Url = {https://www.tensorflow.org/tutorials/mnist/pros/}
}

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publications/hasy/main.tex Normal file
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\documentclass[technote,a4paper,leqno]{IEEEtran}
\pdfoutput=1
\usepackage[utf8]{inputenc} % this is needed for umlauts
\usepackage[USenglish]{babel} % this is needed for umlauts
\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
\usepackage{graphicx}
\usepackage{amsmath,amssymb}
\usepackage[absolute,overlay]{textpos}
\usepackage{vmargin} % Adjust margins in a simple way
\usepackage{tikz}
\usepackage{csquotes}
\usepackage[binary-units=true]{siunitx}
\DeclareSIUnit\pixel{px}
\usepackage{listings} % needed for the inclusion of source code
\usepackage{caption}
\DeclareCaptionFont{white}{\color{white}}
\DeclareCaptionFormat{listing}{\colorbox{gray}{\parbox{\linewidth}{#3}}}
\captionsetup[lstlisting]{format=listing,labelfont=white,textfont=white}
\lstset{
aboveskip={1.3\baselineskip},
basicstyle=\small\ttfamily\linespread{4},
breaklines=false,
columns=flexible,
commentstyle=\color[rgb]{0.127,0.427,0.514}\ttfamily\itshape,
escapechar=@,
extendedchars=true,
frame=none,
identifierstyle=\color{black},
inputencoding=latin1,
keywordstyle=\color[HTML]{228B22}\bfseries,
language=C,
ndkeywordstyle=\color[HTML]{228B22}\bfseries,
numbers=left,
numberstyle=\scriptsize,
prebreak = \raisebox{0ex}[0ex][0ex]{\ensuremath{\hookleftarrow}},
stringstyle=\color[rgb]{0.639,0.082,0.082}\ttfamily,
showstringspaces=false,
xleftmargin=5.0ex
}
\usepackage{url}
\usepackage{breakurl}
\usepackage[raiselinks=true,
bookmarks=true,
bookmarksopenlevel=1,
bookmarksopen=true,
bookmarksnumbered=true,
breaklinks,
hyperindex=true,
plainpages=false,
pdfpagelabels=true,
pdfborder={0 0 0.5}]{hyperref}
\def\UrlBreaks{\do\/\do-}
\usepackage{xspace}
\newcommand*\elide{\textup{[\,\dots]}\xspace}
\usepackage[german,nameinlink, noabbrev,capitalise]{cleveref}
\title{HASY dataset}
\author{%
\IEEEauthorblockN{Martin Thoma}\\
\IEEEauthorblockA{E-Mail: info@martin-thoma.de} % ORCID: http://orcid.org/0000-0002-6517-1690
}
\hypersetup{
pdfauthor = {Martin Thoma},
pdfkeywords = {dataset},
pdfsubject = {HASY, dataset},
pdftitle = {HASY dataset},
}
\usepackage[inline]{enumitem}
\usepackage{longtable}
\usepackage{booktabs} % \toprule
% Packages for symbols
\usepackage{mathtools}
\usepackage{mathrsfs}
\def\wasyfamily{\fontencoding{U}\fontfamily{wasy}\selectfont}
\usepackage{upgreek}
\usepackage{marvosym}
\usepackage{textcomp}
\usepackage{dsfont}
\usepackage{esint}
\usepackage{cmll}
\usepackage{stmaryrd}
\usepackage{skull}
% Make document nicer
\usepackage{parskip}
\usepackage{microtype}
% Variables
\newcommand{\dbTotalClasses}{369}
\newcommand{\dbTrainInstances}{\num{151159}}
\newcommand{\dbTestInstances}{\num{17074}}
\newcommand{\dbTotalInstances}{\num{168233}}
\newcommand{\dbName}{HASY}
\newcommand{\dbSizeMB}{33.3}
\newcommand{\dbDownloadURL}{\url{http://TODO.com/_me}}
\newcommand{\dbMDfivesum}{1b452c44895e44e4357141822a38de8f}
% Start
\begin{document}
\maketitle
\input{abstract}
\input{content}
\bibliographystyle{IEEEtranSA}
\bibliography{literatur}
\clearpage%
\onecolumn
\input{appendix}
\twocolumn
\end{document}

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%!TEX root = "../thesis.tex"
\subsection{Symbol Classes}
\begin{longtable}{lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\endhead
\hline \multicolumn{4}{r}{{Continued on next page}} \\
\endfoot
\bottomrule
\caption{112 symbols of \dbName.}
\endlastfoot
\verb+\&+ & $\&$ &\verb+\nmid+ & $\nmid$\\
\verb+\Im+ & $\Im$ &\verb+\nvDash+ & $\nvDash$\\
\verb+\Re+ & $\Re$ &\verb+\int+ & $\int$\\
\verb+\S+ & $\S$ &\verb+\fint+ & $\fint$\\
\verb+\Vdash+ & $\Vdash$ &\verb+\odot+ & $\odot$\\
\verb+\aleph+ & $\aleph$ &\verb+\oiint+ & $\oiint$\\
\verb+\amalg+ & $\amalg$ &\verb+\oint+ & $\oint$\\
\verb+\angle+ & $\angle$ &\verb+\varoiint+ & $\varoiint$\\
\verb+\ast+ & $\ast$ &\verb+\ominus+ & $\ominus$\\
\verb+\asymp+ & $\asymp$ &\verb+\oplus+ & $\oplus$\\
\verb+\backslash+ & $\backslash$ &\verb+\otimes+ & $\otimes$\\
\verb+\between+ & $\between$ &\verb+\parallel+ & $\parallel$\\
\verb+\blacksquare+ & $\blacksquare$ &\verb+\parr+ & $\parr$\\
\verb+\blacktriangleright+ & $\blacktriangleright$ &\verb+\partial+ & $\partial$\\
\verb+\bot+ & $\bot$ &\verb+\perp+ & $\perp$\\
\verb+\bowtie+ & $\bowtie$ &\verb+\pitchfork+ & $\pitchfork$\\
\verb+\boxdot+ & $\boxdot$ &\verb+\pm+ & $\pm$\\
\verb+\boxplus+ & $\boxplus$ &\verb+\prime+ & $\prime$\\
\verb+\boxtimes+ & $\boxtimes$ &\verb+\prod+ & $\prod$\\
\verb+\bullet+ & $\bullet$ &\verb+\propto+ & $\propto$\\
\verb+\checkmark+ & $\checkmark$ &\verb+\rangle+ & $\rangle$\\
\verb+\circ+ & $\circ$ &\verb+\rceil+ & $\rceil$\\
\verb+\circledR+ & $\circledR$ &\verb+\rfloor+ & $\rfloor$\\
\verb+\circledast+ & $\circledast$ &\verb+\rrbracket+ & $\rrbracket$\\
\verb+\circledcirc+ & $\circledcirc$ &\verb+\rtimes+ & $\rtimes$\\
\verb+\clubsuit+ & $\clubsuit$ &\verb+\sharp+ & $\sharp$\\
\verb+\coprod+ & $\coprod$ &\verb+\sphericalangle+ & $\sphericalangle$\\
\verb+\copyright+ & $\copyright$ &\verb+\sqcap+ & $\sqcap$\\
\verb+\dag+ & $\dag$ &\verb+\sqcup+ & $\sqcup$\\
\verb+\dashv+ & $\dashv$ &\verb+\sqrt{}+ & $\sqrt{}$\\
\verb+\diamond+ & $\diamond$ &\verb+\square+ & $\square$\\
\verb+\diamondsuit+ & $\diamondsuit$ &\verb+\star+ & $\star$\\
\verb+\div+ & $\div$ &\verb+\sum+ & $\sum$\\
\verb+\ell+ & $\ell$ &\verb+\times+ & $\times$\\
\verb+\flat+ & $\flat$ &\verb+\top+ & $\top$\\
\verb+\frown+ & $\frown$ &\verb+\triangle+ & $\triangle$\\
\verb+\guillemotleft+ & $\guillemotleft$ &\verb+\triangledown+ & $\triangledown$\\
\verb+\hbar+ & $\hbar$ &\verb+\triangleleft+ & $\triangleleft$\\
\verb+\heartsuit+ & $\heartsuit$ &\verb+\trianglelefteq+ & $\trianglelefteq$\\
\verb+\infty+ & $\infty$ &\verb+\triangleq+ & $\triangleq$\\
\verb+\langle+ & $\langle$ &\verb+\triangleright+ & $\triangleright$\\
\verb+\lceil+ & $\lceil$ &\verb+\uplus+ & $\uplus$\\
\verb+\lfloor+ & $\lfloor$ &\verb+\vDash+ & $\vDash$\\
\verb+\lhd+ & $\lhd$ &\verb+\varnothing+ & $\varnothing$\\
\verb+\lightning+ & $\lightning$ &\verb+\varpropto+ & $\varpropto$\\
\verb+\llbracket+ & $\llbracket$ &\verb+\vartriangle+ & $\vartriangle$\\
\verb+\lozenge+ & $\lozenge$ &\verb+\vdash+ & $\vdash$\\
\verb+\ltimes+ & $\ltimes$ &\verb+\with+ & $\with$\\
\verb+\mathds{1}+ & $\mathds{1}$ &\verb+\wp+ & $\wp$\\
\verb+\mathsection+ & $\mathsection$ &\verb+\wr+ & $\wr$\\
\verb+\mid+ & $\mid$ &\verb+\{+ & $\{$\\
\verb+\models+ & $\models$ &\verb+\|+ & $\|$\\
\verb+\mp+ & $\mp$ &\verb+\}+ & $\}$\\
\verb+\multimap+ & $\multimap$ &\verb+\vee+ & $\vee$\\
\verb+\nabla+ & $\nabla$ &\verb+\wedge+ & $\wedge$\\
\verb+\neg+ & $\neg$ &\verb+\barwedge+ & $\barwedge$
\label{table:symbols-of-db-0}
\end{longtable}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\#+ & $\#$ &\verb+A+ & $A$ &\verb+S+ & $S$ &\verb+i+ & $i$\\
\verb+\$+ & $\$$ &\verb+B+ & $B$ &\verb+T+ & $T$ &\verb+j+ & $j$\\
\verb+\%+ & $\%$ &\verb+C+ & $C$ &\verb+U+ & $U$ &\verb+k+ & $k$\\
\verb+++ & $+$ &\verb+D+ & $D$ &\verb+V+ & $V$ &\verb+l+ & $l$\\
\verb+-+ & $-$ &\verb+E+ & $E$ &\verb+W+ & $W$ &\verb+m+ & $m$\\
\verb+/+ & $/$ &\verb+F+ & $F$ &\verb+X+ & $X$ &\verb+n+ & $n$\\
\verb+0+ & $0$ &\verb+G+ & $G$ &\verb+Y+ & $Y$ &\verb+o+ & $o$\\
\verb+1+ & $1$ &\verb+H+ & $H$ &\verb+Z+ & $Z$ &\verb+p+ & $p$\\
\verb+2+ & $2$ &\verb+I+ & $I$ &\verb+[+ & $[$ &\verb+q+ & $q$\\
\verb+3+ & $3$ &\verb+J+ & $J$ &\verb+]+ & $]$ &\verb+r+ & $r$\\
\verb+4+ & $4$ &\verb+K+ & $K$ &\verb+a+ & $a$ &\verb+s+ & $s$\\
\verb+5+ & $5$ &\verb+L+ & $L$ &\verb+b+ & $b$ &\verb+u+ & $u$\\
\verb+6+ & $6$ &\verb+M+ & $M$ &\verb+c+ & $c$ &\verb+v+ & $v$\\
\verb+7+ & $7$ &\verb+N+ & $N$ &\verb+d+ & $d$ &\verb+w+ & $w$\\
\verb+8+ & $8$ &\verb+O+ & $O$ &\verb+e+ & $e$ &\verb+x+ & $x$\\
\verb+9+ & $9$ &\verb+P+ & $P$ &\verb+f+ & $f$ &\verb+y+ & $y$\\
\verb+<+ & $<$ &\verb+Q+ & $Q$ &\verb+g+ & $g$ &\verb+z+ & $z$\\
\verb+>+ & $>$ &\verb+R+ & $R$ &\verb+h+ & $h$ &\verb+|+ & $|$\\
\bottomrule
\end{tabular}
\caption{72 ASCII symbols of \dbName, including all
ten digits, the Latin alphabet in lower and upper case and
a few more symbols.}
\label{table:symbols-of-db-1}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\approx+ & $\approx$ &\verb+\geqslant+ & $\geqslant$ &\verb+\lesssim+ & $\lesssim$\\
\verb+\doteq+ & $\doteq$ &\verb+\neq+ & $\neq$ &\verb+\backsim+ & $\backsim$\\
\verb+\simeq+ & $\simeq$ &\verb+\not\equiv+ & $\not\equiv$ &\verb+\sim+ & $\sim$\\
\verb+\equiv+ & $\equiv$ &\verb+\preccurlyeq+ & $\preccurlyeq$ &\verb+\succ+ & $\succ$\\
\verb+\geq+ & $\geq$ &\verb+\preceq+ & $\preceq$ &\verb+\prec+ & $\prec$\\
\verb+\leq+ & $\leq$ &\verb+\succeq+ & $\succeq$ &\verb+\gtrless+ & $\gtrless$\\
\verb+\leqslant+ & $\leqslant$ &\verb+\gtrsim+ & $\gtrsim$ &\verb+\cong+ & $\cong$\\
\bottomrule
\end{tabular}
\caption{21 symbols which are in \dbName and indicate a relationship.}
\label{table:symbols-of-db-2}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\Downarrow+ & $\Downarrow$ &\verb+\nrightarrow+ & $\nrightarrow$\\
\verb+\Leftarrow+ & $\Leftarrow$ &\verb+\rightarrow+ & $\rightarrow$\\
\verb+\Leftrightarrow+ & $\Leftrightarrow$ &\verb+\rightleftarrows+ & $\rightleftarrows$\\
\verb+\Longleftrightarrow+ & $\Longleftrightarrow$ &\verb+\rightrightarrows+ & $\rightrightarrows$\\
\verb+\Longrightarrow+ & $\Longrightarrow$ &\verb+\rightsquigarrow+ & $\rightsquigarrow$\\
\verb+\Rightarrow+ & $\Rightarrow$ &\verb+\searrow+ & $\searrow$\\
\verb+\circlearrowleft+ & $\circlearrowleft$ &\verb+\shortrightarrow+ & $\shortrightarrow$\\
\verb+\circlearrowright+ & $\circlearrowright$ &\verb+\twoheadrightarrow+ & $\twoheadrightarrow$\\
\verb+\curvearrowright+ & $\curvearrowright$ &\verb+\uparrow+ & $\uparrow$\\
\verb+\downarrow+ & $\downarrow$ &\verb+\rightharpoonup+ & $\rightharpoonup$\\
\verb+\hookrightarrow+ & $\hookrightarrow$ &\verb+\rightleftharpoons+ & $\rightleftharpoons$\\
\verb+\leftarrow+ & $\leftarrow$ &\verb+\longmapsto+ & $\longmapsto$\\
\verb+\leftrightarrow+ & $\leftrightarrow$ &\verb+\mapsfrom+ & $\mapsfrom$\\
\verb+\longrightarrow+ & $\longrightarrow$ &\verb+\mapsto+ & $\mapsto$\\
\verb+\nRightarrow+ & $\nRightarrow$ &\verb+\leadsto+ & $\leadsto$\\
\verb+\nearrow+ & $\nearrow$ &\verb+\upharpoonright+ & $\upharpoonright$\\
\bottomrule
\end{tabular}
\caption{32 arrow symbols of \dbName.}
\label{table:symbols-of-db-3}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\alpha+ & $\alpha$ &\verb+\xi+ & $\xi$ &\verb+\Xi+ & $\Xi$\\
\verb+\beta+ & $\beta$ &\verb+\pi+ & $\pi$ &\verb+\Pi+ & $\Pi$\\
\verb+\gamma+ & $\gamma$ &\verb+\rho+ & $\rho$ &\verb+\Sigma+ & $\Sigma$\\
\verb+\delta+ & $\delta$ &\verb+\sigma+ & $\sigma$ &\verb+\Phi+ & $\Phi$\\
\verb+\epsilon+ & $\epsilon$ &\verb+\tau+ & $\tau$ &\verb+\Psi+ & $\Psi$\\
\verb+\zeta+ & $\zeta$ &\verb+\phi+ & $\phi$ &\verb+\Omega+ & $\Omega$\\
\verb+\eta+ & $\eta$ &\verb+\chi+ & $\chi$ &\verb+\varepsilon+ & $\varepsilon$\\
\verb+\theta+ & $\theta$ &\verb+\psi+ & $\psi$ &\verb+\varkappa+ & $\varkappa$\\
\verb+\iota+ & $\iota$ &\verb+\omega+ & $\omega$ &\verb+\varpi+ & $\varpi$\\
\verb+\kappa+ & $\kappa$ &\verb+\Gamma+ & $\Gamma$ &\verb+\varrho+ & $\varrho$\\
\verb+\lambda+ & $\lambda$ &\verb+\Delta+ & $\Delta$ &\verb+\varphi+ & $\varphi$\\
\verb+\mu+ & $\mu$ &\verb+\Theta+ & $\Theta$ &\verb+\vartheta+ & $\vartheta$\\
\verb+\nu+ & $\nu$ &\verb+\Lambda+ & $\Lambda$ &\verb+ + & $ $\\
\bottomrule
\end{tabular}
\caption{All Greek letters and some variations of Greek letters were
used for evaluation. 38 of them are in this table, the rest
is identical to Latin letters.}
\label{table:symbols-of-db-4}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\mathcal{A}+ & $\mathcal{A}$ &\verb+\mathcal{T}+ & $\mathcal{T}$ &\verb+\mathds{Z}+ & $\mathds{Z}$\\
\verb+\mathcal{B}+ & $\mathcal{B}$ &\verb+\mathcal{U}+ & $\mathcal{U}$ &\verb+\mathfrak{A}+ & $\mathfrak{A}$\\
\verb+\mathcal{C}+ & $\mathcal{C}$ &\verb+\mathcal{X}+ & $\mathcal{X}$ &\verb+\mathfrak{M}+ & $\mathfrak{M}$\\
\verb+\mathcal{D}+ & $\mathcal{D}$ &\verb+\mathcal{Z}+ & $\mathcal{Z}$ &\verb+\mathfrak{S}+ & $\mathfrak{S}$\\
\verb+\mathcal{E}+ & $\mathcal{E}$ &\verb+\mathbb{H}+ & $\mathbb{H}$ &\verb+\mathfrak{X}+ & $\mathfrak{X}$\\
\verb+\mathcal{F}+ & $\mathcal{F}$ &\verb+\mathbb{N}+ & $\mathbb{N}$ &\verb+\mathscr{A}+ & $\mathscr{A}$\\
\verb+\mathcal{G}+ & $\mathcal{G}$ &\verb+\mathbb{Q}+ & $\mathbb{Q}$ &\verb+\mathscr{C}+ & $\mathscr{C}$\\
\verb+\mathcal{H}+ & $\mathcal{H}$ &\verb+\mathbb{R}+ & $\mathbb{R}$ &\verb+\mathscr{D}+ & $\mathscr{D}$\\
\verb+\mathcal{L}+ & $\mathcal{L}$ &\verb+\mathbb{Z}+ & $\mathbb{Z}$ &\verb+\mathscr{E}+ & $\mathscr{E}$\\
\verb+\mathcal{M}+ & $\mathcal{M}$ &\verb+\mathds{C}+ & $\mathds{C}$ &\verb+\mathscr{F}+ & $\mathscr{F}$\\
\verb+\mathcal{N}+ & $\mathcal{N}$ &\verb+\mathds{E}+ & $\mathds{E}$ &\verb+\mathscr{H}+ & $\mathscr{H}$\\
\verb+\mathcal{O}+ & $\mathcal{O}$ &\verb+\mathds{N}+ & $\mathds{N}$ &\verb+\mathscr{L}+ & $\mathscr{L}$\\
\verb+\mathcal{P}+ & $\mathcal{P}$ &\verb+\mathds{P}+ & $\mathds{P}$ &\verb+\mathscr{P}+ & $\mathscr{P}$\\
\verb+\mathcal{R}+ & $\mathcal{R}$ &\verb+\mathds{Q}+ & $\mathds{Q}$ &\verb+\mathscr{S}+ & $\mathscr{S}$\\
\verb+\mathcal{S}+ & $\mathcal{S}$ &\verb+\mathds{R}+ & $\mathds{R}$ &\verb+ + & $ $\\
\bottomrule
\end{tabular}
\caption{44 variants of Latin letters in \dbName.}
\label{table:symbols-of-db-5}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\therefore+ & $\therefore$ &\verb+\cdot+ & $\cdot$ &\verb+\dots+ & $\dots$\\
\verb+\because+ & $\because$ &\verb+\vdots+ & $\vdots$ &\verb+\ddots+ & $\ddots$\\
\verb+\dotsc+ & $\dotsc$ &\verb+ + & &\verb+ + & \\
\bottomrule
\end{tabular}
\caption{7 symbols that contain only dots in \dbName.}
\label{table:symbols-of-db-6}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc|lc|lc}
\toprule
\LaTeX & R & \LaTeX & R & \LaTeX & R & \LaTeX & R & \LaTeX & R \\
\midrule
\verb+\AA+ & {\r A} &\verb+\L+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/L.pdf} &\verb+\male+ & {\mbox {\wasyfamily \char 26}} &\verb+\ohm+ & $\Omega $ &\verb+\sun+ & {\mbox {\wasyfamily \char 46}} \\
\verb+\AE+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/AE.pdf} &\verb+\O+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/L.pdf} &\verb+\mars+ & {\leavevmode \lower 0.2ex\hbox {\wasyfamily \char 26}} &\verb+\fullmoon+ & {\mbox {\wasyfamily \char 35}} &\verb+\degree+ & {\ensuremath {^\circ }}\\
\verb+\aa+ & {\r a} &\verb+\o+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/o.pdf} &\verb+\female+ & {\mbox {\wasyfamily \char 25}} &\verb+\leftmoon+ & {\mbox {\wasyfamily \char 36}} &\verb+\iddots+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/iddots.pdf}\\
\verb+\ae+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/AE.pdf} &\verb+\Bowtie+ & {\mbox {\wasyfamily \char 49}} &\verb+\venus+ & {\leavevmode \raise 0.2ex\hbox {\wasyfamily \char 25}} &\verb+\checked+ & {\mbox {\wasyfamily \char 8}} &\verb+\diameter+ & {\mbox {\wasyfamily \char 31}} \\
\verb+\ss+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/ss.pdf} &\verb+\celsius+ & $^\circ \mathrm {C}$ &\verb+\astrosun+ & {\mbox {$\odot $}} &\verb+\pounds+ & \textsterling &\verb+\mathbb{1}+ & \includegraphics[height=12.3pt, keepaspectratio]{symbols/mathbb-1.pdf}\\
\bottomrule
\end{tabular}
\caption{25 symbols of \dbName.}
\label{table:symbols-of-db-7}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lc|lc|lc}
\toprule
\LaTeX & Rendered & \LaTeX & Rendered & \LaTeX & Rendered \\
\midrule
\verb+\cup+ & $\cup$ &\verb+\varsubsetneq+ & $\varsubsetneq$ &\verb+\exists+ & $\exists$\\
\verb+\cap+ & $\cap$ &\verb+\nsubseteq+ & $\nsubseteq$ &\verb+\nexists+ & $\nexists$\\
\verb+\emptyset+ & $\emptyset$ &\verb+\sqsubseteq+ & $\sqsubseteq$ &\verb+\forall+ & $\forall$\\
\verb+\setminus+ & $\setminus$ &\verb+\subseteq+ & $\subseteq$ &\verb+\in+ & $\in$\\
\verb+\supset+ & $\supset$ &\verb+\subsetneq+ & $\subsetneq$ &\verb+\ni+ & $\ni$\\
\verb+\subset+ & $\subset$ &\verb+\supseteq+ & $\supseteq$ &\verb+\notin+ & $\notin$\\
\bottomrule
\end{tabular}
\caption{18 set related symbols of \dbName.}
\label{table:symbols-of-db-8}
\end{table}
\clearpage