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+\documentclass[fleqn]{article}
+\usepackage{mathptmx}
+
+\DeclareMathSymbol{\Gamma} {\mathalpha}{letters}{"00}
+\DeclareMathSymbol{\Delta} {\mathalpha}{letters}{"01}
+\DeclareMathSymbol{\Theta} {\mathalpha}{letters}{"02}
+\DeclareMathSymbol{\Lambda} {\mathalpha}{letters}{"03}
+\DeclareMathSymbol{\Xi} {\mathalpha}{letters}{"04}
+\DeclareMathSymbol{\Pi} {\mathalpha}{letters}{"05}
+\DeclareMathSymbol{\Sigma} {\mathalpha}{letters}{"06}
+\DeclareMathSymbol{\Upsilon}{\mathalpha}{letters}{"07}
+\DeclareMathSymbol{\Phi} {\mathalpha}{letters}{"08}
+\DeclareMathSymbol{\Psi} {\mathalpha}{letters}{"09}
+\DeclareMathSymbol{\Omega} {\mathalpha}{letters}{"0A}
+
+\DeclareMathSymbol{\alpha} {\mathalpha}{letters}{"0B}
+\DeclareMathSymbol{\beta} {\mathalpha}{letters}{"0C}
+\DeclareMathSymbol{\gamma} {\mathalpha}{letters}{"0D}
+\DeclareMathSymbol{\delta} {\mathalpha}{letters}{"0E}
+\DeclareMathSymbol{\epsilon}{\mathalpha}{letters}{"0F}
+\DeclareMathSymbol{\zeta} {\mathalpha}{letters}{"10}
+\DeclareMathSymbol{\eta} {\mathalpha}{letters}{"11}
+\DeclareMathSymbol{\theta} {\mathalpha}{letters}{"12}
+\DeclareMathSymbol{\iota} {\mathalpha}{letters}{"13}
+\DeclareMathSymbol{\kappa} {\mathalpha}{letters}{"14}
+\DeclareMathSymbol{\lambda} {\mathalpha}{letters}{"15}
+\DeclareMathSymbol{\mu} {\mathalpha}{letters}{"16}
+\DeclareMathSymbol{\nu} {\mathalpha}{letters}{"17}
+\DeclareMathSymbol{\xi} {\mathalpha}{letters}{"18}
+\DeclareMathSymbol{\pi} {\mathalpha}{letters}{"19}
+\DeclareMathSymbol{\rho} {\mathalpha}{letters}{"1A}
+\DeclareMathSymbol{\sigma} {\mathalpha}{letters}{"1B}
+\DeclareMathSymbol{\tau} {\mathalpha}{letters}{"1C}
+\DeclareMathSymbol{\upsilon}{\mathalpha}{letters}{"1D}
+\DeclareMathSymbol{\phi} {\mathalpha}{letters}{"1E}
+\DeclareMathSymbol{\chi} {\mathalpha}{letters}{"1F}
+\DeclareMathSymbol{\psi} {\mathalpha}{letters}{"20}
+\DeclareMathSymbol{\omega} {\mathalpha}{letters}{"21}
+\DeclareMathSymbol{\varepsilon} {\mathalpha}{letters}{"22}
+\DeclareMathSymbol{\vartheta} {\mathalpha}{letters}{"23}
+\DeclareMathSymbol{\varpi} {\mathalpha}{letters}{"24}
+\DeclareMathSymbol{\varrho} {\mathalpha}{letters}{"25}
+\DeclareMathSymbol{\varsigma} {\mathalpha}{letters}{"26}
+\DeclareMathSymbol{\varphi} {\mathalpha}{letters}{"27}
+
+\DeclareMathSymbol{\dit}{\mathord}{letters}{`d}
+\DeclareMathSymbol{\dup}{\mathord}{operators}{`d}
+
+\nofiles
+
+\parindent 0pt
+\mathindent 1em
+
+\def\test#1{#1}
+
+\def\testnums{%
+ \test 0 \test 1 \test 2 \test 3 \test 4 \test 5 \test 6 \test 7
+ \test 8 \test 9 }
+\def\testupperi{%
+ \test A \test B \test C \test D \test E \test F \test G \test H
+ \test I \test J \test K \test L \test M }
+\def\testupperii{%
+ \test N \test O \test P \test Q \test R \test S \test T \test U
+ \test V \test W \test X \test Y \test Z }
+\def\testupper{%
+ \testupperi\testupperii}
+
+\def\testloweri{%
+ \test a \test b \test c \test d \test e \test f \test g \test h
+ \test i \test j \test k \test l \test m }
+\def\testlowerii{%
+ \test n \test o \test p \test q \test r \test s \test t \test u
+ \test v \test w \test x \test y \test z
+ \test\imath \test\jmath }
+\def\testlower{%
+ \testloweri\testlowerii}
+
+\def\testupgreeki{%
+ \test A \test B \test\Gamma \test\Delta \test E \test Z \test H
+ \test\Theta \test I \test K \test\Lambda \test M }
+\def\testupgreekii{%
+ \test N \test\Xi \test O \test\Pi \test P \test\Sigma \test T
+ \test\Upsilon \test\Phi \test X \test\Psi \test\Omega
+ \test\nabla }
+\def\testupgreek{%
+ \testupgreeki\testupgreekii}
+
+\def\testlowgreeki{%
+ \test\alpha \test\beta \test\gamma \test\delta \test\epsilon
+ \test\zeta \test\eta \test\theta \test\iota \test\kappa \test\lambda
+ \test\mu }
+\def\testlowgreekii{%
+ \test\nu \test\xi \test o \test\pi \test\rho \test\sigma \test\tau
+ \test\upsilon \test\phi \test\chi \test\psi \test\omega }
+\def\testlowgreekiii{%
+ \test\varepsilon \test\vartheta \test\varpi \test\varrho
+ \test\varsigma \test\varphi}
+\def\testlowgreek{%
+ \testlowgreeki\testlowgreekii\testlowgreekiii}
+
+
+\begin{document}
+
+\section{Math Alphabets}
+
+Math Italic (\texttt{\string\mathnormal})
+\def\test#1{\mathnormal{#1},}
+\begin{eqnarray*}
+ && {\testnums}\\
+ && {\testupper}\\
+ && {\testlower}\\
+ && {\testupgreek}\\
+ && {\testlowgreek}
+\end{eqnarray*}%
+
+Math Roman (\texttt{\string\mathrm})
+\def\test#1{\mathrm{#1},}
+\begin{eqnarray*}
+ && {\testnums}\\
+ && {\testupper}\\
+ && {\testlower}\\
+ && {\testupgreek}
+\end{eqnarray*}%
+
+%Math Italic Bold
+%\def\test#1{\mathbm{#1},}
+%\begin{eqnarray*}
+% && {\testnums}\\
+% && {\testupper}\\
+% && {\testlower}\\
+% && {\testupgreek}\\
+% && {\testlowgreek}
+%\end{eqnarray*}%
+
+%Math Bold (\texttt{\string\mathbf})
+%\def\test#1{\mathbf{#1},}
+%\begin{eqnarray*}
+% && {\testnums}\\
+% && {\testupper}\\
+% && {\testlower}\\
+% && {\testupgreek}
+%\end{eqnarray*}%
+
+Caligraphic (\texttt{\string\mathcal})
+\def\test#1{\mathcal{#1},}
+\begin{eqnarray*}
+ && {\testupper}
+\end{eqnarray*}%
+
+%Script (\texttt{\string\mathscr})
+%\def\test#1{\mathscr{#1},}
+%\begin{eqnarray*}
+% && {\testupper}
+%\end{eqnarray*}%
+
+%Fraktur (\texttt{\string\mathfrak})
+%\def\test#1{\mathfrak{#1},}
+%\begin{eqnarray*}
+% && {\testupper}\\
+% && {\testlower}
+%\end{eqnarray*}%
+
+%Blackboard Bold (\texttt{\string\mathbb})
+%\def\test#1{\mathbb{#1},}
+%\begin{eqnarray*}
+% && {\testupper}
+%\end{eqnarray*}%
+
+
+\clearpage
+\section{Character Sidebearings}
+
+\def\test#1{|#1|+}
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}
+\end{eqnarray*}%
+%
+\def\test#1{|\mathrm{#1}|+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+%
+%\def\test#1{|\mathbm{#1}|+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}\\
+% && {\testlowgreeki}\\
+% && {\testlowgreekii}\\
+% && {\testlowgreekiii}
+%\end{eqnarray*}%
+%%
+%\def\test#1{|\mathbf{#1}|+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}
+%\end{eqnarray*}%
+%
+\def\test#1{|\mathcal{#1}|+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}
+\end{eqnarray*}%
+
+
+\clearpage
+\section{Superscript positioning}
+
+\def\test#1{#1^{2}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}
+\end{eqnarray*}%
+%
+\def\test#1{\mathrm{#1}^{2}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+%
+%\def\test#1{\mathbm{#1}^{2}+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}\\
+% && {\testlowgreeki}\\
+% && {\testlowgreekii}\\
+% && {\testlowgreekiii}
+%\end{eqnarray*}%
+%
+%\def\test#1{\mathbf{#1}^{2}+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}
+%\end{eqnarray*}
+%
+\def\test#1{\mathcal{#1}^{2}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}
+\end{eqnarray*}%
+
+
+\clearpage
+\section{Subscript positioning}
+
+\def\test#1{\mathnormal{#1}_{i}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}
+\end{eqnarray*}%
+%
+\def\test#1{\mathrm{#1}_{i}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+%
+%\def\test#1{\mathbm{#1}_{i}+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}\\
+% && {\testlowgreeki}\\
+% && {\testlowgreekii}\\
+% && {\testlowgreekiii}
+%\end{eqnarray*}
+%%
+%\def\test#1{\mathbf{#1}_{i}+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}
+%\end{eqnarray*}%
+%
+\def\test#1{\mathcal{#1}_{i}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}
+\end{eqnarray*}%
+
+
+\clearpage
+\section{Accent positioning}
+
+\def\test#1{\hat{#1}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}
+\end{eqnarray*}%
+%
+\def\test#1{\hat{\mathrm{#1}}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+%
+%\def\test#1{\hat{\mathbm{#1}}+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}\\
+% && {\testlowgreeki}\\
+% && {\testlowgreekii}\\
+% && {\testlowgreekiii}
+%\end{eqnarray*}%
+%%
+%\def\test#1{\hat{\mathbf{#1}}+}%
+%\begin{eqnarray*}
+% && {\testupperi}\\
+% && {\testupperii}\\
+% && {\testloweri}\\
+% && {\testlowerii}\\
+% && {\testupgreeki}\\
+% && {\testupgreekii}
+%\end{eqnarray*}
+%
+\def\test#1{\hat{\mathcal{#1}}+}%
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}
+\end{eqnarray*}%
+
+
+\clearpage
+\section{Differentials}
+
+\begin{eqnarray*}
+\gdef\test#1{\dit #1+}%
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}\\
+\gdef\test#1{\dit \mathrm{#1}+}%
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+%
+\begin{eqnarray*}
+\gdef\test#1{\dup #1+}%
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}\\
+\gdef\test#1{\dup \mathrm{#1}+}%
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+%
+\begin{eqnarray*}
+\gdef\test#1{\partial #1+}%
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}\\
+\gdef\test#1{\partial \mathrm{#1}+}%
+ && {\testupgreeki}\\
+ && {\testupgreekii}
+\end{eqnarray*}%
+
+
+\clearpage
+\section{Slash kerning}
+
+\def\test#1{1/#1+}
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}
+\end{eqnarray*}
+
+\def\test#1{#1/2+}
+\begin{eqnarray*}
+ && {\testupperi}\\
+ && {\testupperii}\\
+ && {\testloweri}\\
+ && {\testlowerii}\\
+ && {\testupgreeki}\\
+ && {\testupgreekii}\\
+ && {\testlowgreeki}\\
+ && {\testlowgreekii}\\
+ && {\testlowgreekiii}
+\end{eqnarray*}
+
+
+\clearpage
+\section{Big operators}
+
+\def\testop#1{#1_{i=1}^{n} x^{n} \quad}
+\begin{displaymath}
+ \testop\sum
+ \testop\prod
+ \testop\coprod
+ \testop\int
+ \testop\oint
+\end{displaymath}
+\begin{displaymath}
+ \testop\bigotimes
+ \testop\bigoplus
+ \testop\bigodot
+ \testop\bigwedge
+ \testop\bigvee
+ \testop\biguplus
+ \testop\bigcup
+ \testop\bigcap
+ \testop\bigsqcup
+% \testop\bigsqcap
+\end{displaymath}
+
+
+\section{Radicals}
+
+\begin{displaymath}
+ \sqrt{x+y} \qquad \sqrt{x^{2}+y^{2}} \qquad
+ \sqrt{x_{i}^{2}+y_{j}^{2}} \qquad
+ \sqrt{\left(\frac{\cos x}{2}\right)} \qquad
+ \sqrt{\left(\frac{\sin x}{2}\right)}
+\end{displaymath}
+
+\begingroup
+\delimitershortfall-1pt
+\begin{displaymath}
+ \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{x+y}}}}}}}
+\end{displaymath}
+\endgroup % \delimitershortfall
+
+
+\section{Over- and underbraces}
+
+\begin{displaymath}
+ \overbrace{x} \quad
+ \overbrace{x+y} \quad
+ \overbrace{x^{2}+y^{2}} \quad
+ \overbrace{x_{i}^{2}+y_{j}^{2}} \quad
+ \underbrace{x} \quad
+ \underbrace{x+y} \quad
+ \underbrace{x_{i}+y_{j}} \quad
+ \underbrace{x_{i}^{2}+y_{j}^{2}} \quad
+\end{displaymath}
+
+
+\section{Normal and wide accents}
+
+\begin{displaymath}
+ \dot{x} \quad
+ \ddot{x} \quad
+ \vec{x} \quad
+ \bar{x} \quad
+ \overline{x} \quad
+ \overline{xx} \quad
+ \tilde{x} \quad
+ \widetilde{x} \quad
+ \widetilde{xx} \quad
+ \widetilde{xxx} \quad
+ \hat{x} \quad
+ \widehat{x} \quad
+ \widehat{xx} \quad
+ \widehat{xxx} \quad
+\end{displaymath}
+
+
+\section{Long arrows}
+
+\begin{displaymath}
+ \leftarrow \mathrel{-} \rightarrow \quad
+ \leftrightarrow \quad
+ \longleftarrow \quad
+ \longrightarrow \quad
+ \longleftrightarrow \quad
+ \Leftarrow = \Rightarrow \quad
+ \Leftrightarrow \quad
+ \Longleftarrow \quad
+ \Longrightarrow \quad
+ \Longleftrightarrow \quad
+\end{displaymath}
+
+
+\section{Left and right delimters}
+
+\def\testdelim#1#2{ - #1 f #2 - }
+\begin{displaymath}
+ \testdelim()
+ \testdelim[]
+ \testdelim\lfloor\rfloor
+ \testdelim\lceil\rceil
+ \testdelim\langle\rangle
+ \testdelim\{\}
+\end{displaymath}
+
+\def\testdelim#1#2{ - \left#1 f \right#2 - }
+\begin{displaymath}
+ \testdelim()
+ \testdelim[]
+ \testdelim\lfloor\rfloor
+ \testdelim\lceil\rceil
+ \testdelim\langle\rangle
+ \testdelim\{\}
+% \testdelim\lgroup\rgroup
+% \testdelim\lmoustache\rmoustache
+\end{displaymath}
+\begin{displaymath}
+ \testdelim)(
+ \testdelim][
+ \testdelim//
+ \testdelim\backslash\backslash
+ \testdelim/\backslash
+ \testdelim\backslash/
+\end{displaymath}
+
+
+\clearpage
+\section{Big-g-g delimters}
+
+\def\testdelim#1#2{%
+ - \left#1\left#1\left#1\left#1\left#1\left#1\left#1\left#1 -
+ \right#2\right#2\right#2\right#2\right#2\right#2\right#2\right#2 -}
+
+\begingroup
+\delimitershortfall-1pt
+\begin{displaymath}
+ \testdelim\lfloor\rfloor
+ \qquad
+ \testdelim()
+\end{displaymath}
+\begin{displaymath}
+ \testdelim\lceil\rceil
+ \qquad
+ \testdelim\{\}
+\end{displaymath}
+\begin{displaymath}
+ \testdelim[]
+ \qquad
+ \testdelim\lgroup\rgroup
+\end{displaymath}
+\begin{displaymath}
+ \testdelim\langle\rangle
+ \qquad
+ \testdelim\lmoustache\rmoustache
+\end{displaymath}
+\begin{displaymath}
+ \testdelim\uparrow\downarrow \quad
+ \testdelim\Uparrow\Downarrow \quad
+\end{displaymath}
+\endgroup % \delimitershortfall
+
+
+
+\end{document}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: t
+%%% End: