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%
% This is a demo file for testing the mt11p MathTime package.
%
% The contents is essentially stolen from A. Jeffrey's testmath.tex,
% with math versions and the additional glyphs of MathTime added.
%
%
% CAUTION: This test document makes heavy demands on
% TeX's font memory, about 200k. Unless your TeX has dynamic memory
% allocation, you may have to reduce the number of `sizing'
% tests (search for "SIZING"), or make a bigger TeX, or
% avoid preloading the Computer Modern TFM files into
% the format file.
%
% The only reason this is a ltxdoc-class document is so that
% we automatically fetch any ltxdoc.cfg file with a default
% paper size or some such.
\documentclass[10pt]{ltxdoc}
%\usepackage{amsmath}% try it :-)
\usepackage{mt11p}% see documentation for what the defaults are
% Try the options:
% symaccents, [no8r|nodag], [mtcal|cmcal], [opnone|opmax], noresize
% See docs for meaning; note that output will not be ``correct''
% in under some conditions, e.g., opmax, nodag.
\hfuzz=200pt % shut up...
\title{Yet another math test document,\\
\texttt{\bfseries test11p}}
\author{based on Alan Jeffrey's \texttt{testmath.tex}%
\thanks{Extra math versions and
the extra symbols of the MathT\i me fonts
hacked in by Drahoslav L\'\i m, 97/01/27.}}
\date{}
\providecommand{\cs}[1]{\texttt{\char`\\#1}}
\raggedbottom
\parskip=1ex plus 1ex
\newcommand{\testsize}[1]{{
#1 \texttt{\string#1}: $a_{c_e}, b_{d_f}, C_{E_G}, 0_{1_2},
a_{0_a}, 0_{a_0},
\sum_{i=0}^\infty$ \\\relax }}
\newcommand{\testdelims}[3]{\sqrt{
#1|#1\|#1\uparrow
#1\downarrow#1\updownarrow#1\Uparrow#1\Downarrow
#1\Updownarrow#1\lfloor#1\lceil
#1(#1\{#1[#1\langle
#3
#2\rangle#2]#2\}#2)
#2\rceil#2\rfloor#2\Updownarrow#2\Downarrow
#2\Uparrow#2\updownarrow#2\downarrow#2\uparrow
#2\|#2|}\\\relax}
\newcommand{\testglyphs}[1]{%
\begin{quote}
#1a#1b#1c#1d#1e#1f#1g#1h#1i#1j#1k#1l#1m
#1n#1o#1p#1q#1r#1s#1t#1u#1v#1w#1x#1y#1z
#1A#1B#1C#1D#1E#1F#1G#1H#1I#1J#1K#1L#1M
#1N#1O#1P#1Q#1R#1S#1T#1U#1V#1W#1X#1Y#1Z
#10#11#12#13#14#15#16#17#18#19
#1\Gamma#1\Delta#1\Theta#1\Lambda#1\Xi
#1\Pi#1\Sigma#1\Upsilon#1\Phi#1\Psi#1\Omega
#1\varGamma#1\varDelta#1\varTheta#1\varLambda
#1\varXi#1\varPi
#1\varSigma#1\varUpsilon#1\varPhi#1\varPsi#1\varOmega
#1\alpha#1\beta#1\gamma#1\delta#1\epsilon
#1\varepsilon#1\zeta#1\eta#1\theta#1\vartheta
#1\iota#1\kappa#1\varkappa#1\lambda#1\mu#1\nu#1\xi#1\omicron
#1\pi#1\varpi#1\rho#1\varrho
#1\sigma#1\varsigma#1\tau#1\upsilon#1\phi
#1\varphi#1\chi#1\psi#1\omega
#1\partial#1\ell#1\imath#1\jmath#1\wp
#1{\mathcal{A}} #1{\mathcal{B}} #1{\mathcal{C}} #1{\mathcal{D}}
#1{\mathcal{E}} #1{\mathcal{F}} #1{\mathcal{G}} #1{\mathcal{H}}
#1{\mathcal{I}} #1{\mathcal{J}} #1{\mathcal{K}} #1{\mathcal{L}}
#1{\mathcal{M}} #1{\mathcal{N}} #1{\mathcal{O}} #1{\mathcal{P}}
#1{\mathcal{Q}} #1{\mathcal{R}} #1{\mathcal{S}} #1{\mathcal{T}}
#1{\mathcal{U}} #1{\mathcal{V}} #1{\mathcal{W}} #1{\mathcal{X}}
#1{\mathcal{Y}} #1{\mathcal{Z}}
\expandafter\ifnum\csname mt@cal\endcsname=1 % if mathcal <> mathscr
#1{\mathscr{A}} #1{\mathscr{B}} #1{\mathscr{C}} #1{\mathscr{D}}
#1{\mathscr{E}} #1{\mathscr{F}} #1{\mathscr{G}} #1{\mathscr{H}}
#1{\mathscr{I}} #1{\mathscr{J}} #1{\mathscr{K}} #1{\mathscr{L}}
#1{\mathscr{M}} #1{\mathscr{N}} #1{\mathscr{O}} #1{\mathscr{P}}
#1{\mathscr{Q}} #1{\mathscr{R}} #1{\mathscr{S}} #1{\mathscr{T}}
#1{\mathscr{U}} #1{\mathscr{V}} #1{\mathscr{W}} #1{\mathscr{X}}
#1{\mathscr{Y}} #1{\mathscr{Z}}
#1{\mathcal{\varA}} #1{\mathcal{\varE}} #1{\mathcal{\varG}}
#1{\mathcal{\varvarG}} #1{\mathcal{\varI}} #1{\mathcal{\varL}}
#1{\mathcal{\varQ}} #1{\mathcal{\varS}} #1{\mathcal{\varr}}
#1{\mathcal{\varz}} #1{\mathcal{\iscript}} #1{\mathcal{\jscript}}
\fi
\expandafter\ifnum\csname mt@cal\endcsname<2 % if we have mtms
#1{\mathscr{a}} #1{\mathscr{b}} #1{\mathscr{c}} #1{\mathscr{d}}
#1{\mathscr{e}} #1{\mathscr{f}} #1{\mathscr{g}} #1{\mathscr{h}}
#1{\mathscr{i}} #1{\mathscr{j}} #1{\mathscr{k}} #1{\mathscr{l}}
#1{\mathscr{m}} #1{\mathscr{n}} #1{\mathscr{o}} #1{\mathscr{p}}
#1{\mathscr{q}} #1{\mathscr{r}} #1{\mathscr{s}} #1{\mathscr{t}}
#1{\mathscr{u}} #1{\mathscr{v}} #1{\mathscr{w}} #1{\mathscr{x}}
#1{\mathscr{y}} #1{\mathscr{z}}
\fi
#1{\mathgr{a}} #1{\mathgr{b}} #1{\mathgr{G}} #1{\mathgr{g}}
#1{\mathgr{D}} #1{\mathgr{d}} #1{\mathgr{e}} #1{\mathgr{ve}}
#1{\mathgr{vev}} #1{\mathgr{z}} #1{\mathgr{Th}} #1{\mathgr{th}}
#1{\mathgr{vth}} #1{\mathgr{S}} #1{\mathgr{s}} #1{\mathgr{vs}}
#1{\mathgr{t}} #1{\mathgr{U}} #1{\mathgr{u}} #1{\mathgr{Ph}}
#1{\mathgr{ph}} #1{\mathgr{ch}} #1{\mathgr{Ps}} #1{\mathgr{ps}}
#1{\mathgr{vO}} #1{\mathgr{vo}}
\end{quote}}
\newcommand{\AcTest}[1]{\grave{#1}\acute{#1} \hat{#1} \tilde{#1} \ddot{#1}
\check{#1} \breve{#1} \bar{#1} \dot{#1}\; \overbar{#1}
\expandafter\ifx\csname mathaccent@\endcsname\relax\else
% do double accents if we have amsmath
\;
\Grave{\Grave{#1}}\Acute{\Acute{#1}} \Hat{\Hat{#1}} \Tilde{\Tilde{#1}}
\Ddot{\Ddot{#1}}
\Check{\Check{#1}} \Breve{\Breve{#1}} \Bar{\Bar{#1}} \Dot{\Dot{#1}}
\Vec{\Vec{#1}}\; \Widebar{\Widebar{#1}}
\fi}
\newcommand{\sidebearings}[1]{ $|#1|$ }
\newcommand{\subscripts}[1]{ $#1_\circ$ }
\newcommand{\supscripts}[1]{ $#1^\circ$ }
\newcommand{\scripts}[1]{ $#1^\circ_\circ$ }
\newcommand{\vecaccents}[1]{ $\vec#1$ }
\newcommand{\tildeaccents}[1]{ $\tilde#1$ }
% Here's the test of everything...
\long\def\TheBigTest{%
\subsection*{Fonts and Accents}
Math italic (\cs{mathnormal}):
\[
ABCDEFGHIJKLMNOPQRSTUVWXYZ
abcdefghijklmnopqrstuvwxyz\imath\jmath
\AcTest{x}
\]
Text italic (\cs{mathit}):
\[
\mathit{ABCDEFGHIJKLMNOPQRSTUVWXYZ
abcdefghijklmnopqrstuvwxyz\AcTest{x}}
\]
Roman (\cs{mathrm}):
\[
\mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ
abcdefghijklmnopqrstuvwxyz\AcTest{x}}
\]
Bold (\cs{mathbf}):
\[
\mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ
abcdefghijklmnopqrstuvwxyz\AcTest{x}}
\]
Calligraphic (\cs{mathcal}) upper case:
% omit variant forms if \mathcal is Comp. Mod.
\[
\mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ
\expandafter\ifnum\csname mt@cal\endcsname=0 %
\varA\varE\varG\varvarG\varI \varL\varQ\varS
\fi
\AcTest{G}}
\]
\expandafter\ifnum\csname mt@cal\endcsname=0 %
% omit whole thing if mathcal is Comp. Modern.
Calligraphic (\cs{mathcal}) lower case:
\[
\mathcal{abcdefghijklmnopqr\varr stuvwxyz
\varz\iscript\jscript\AcTest{x}}
\]
\fi
\expandafter\ifnum\csname mt@cal\endcsname=1
% include only if it really is...
``Script'' math (\cs{mathscr}), different from calligraphy:
\[
\mathscr{A\varA BCDE\varE FG\varG\varvarG
HI\varI JKL\varL MNOPQ\varQ RS\varS
TUVWXYZ\varr\varz\iscript\jscript\AcTest{\varI}}
\]
\fi
\expandafter\ifnum\csname mt@cal\endcsname<2 %
% only is we have mtms fonts
Test the ``\cs{script}'' (a form of \cs{mathscr})
command and its starred form:
\[ \script A \script B \script C \script D \dots
\quad\hbox{starred: }
\script *A \script *E \script *G \script *g
\script *I \script *L \script *Q \script *S
\script *r \script *z \script *i \script *j
\]
\fi
Sans (\cs{mathsf}):
\[
\mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ
abcdefghijklmnopqrstuvwxyz\AcTest{x}}
\]
Typewriter (\cs{mathtt}):
\[
\mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ
abcdefghijklmnopqrstuvwxyz\AcTest{x}}
\]
Greek (lower case italic):
\[
\Gamma\Delta\Theta\Lambda\Xi\Pi\Sigma\Upsilon\Phi\Psi\Omega
\alpha\beta\gamma\delta\epsilon\varepsilon\zeta\eta\theta\vartheta
\iota\kappa\varkappa\lambda\mu\nu\xi\omicron\pi\varpi\rho\varrho
\sigma\varsigma\tau\upsilon\phi\varphi\chi\psi\omega
\]
Italic upper case Greek (\cs{var...}):
\[
\varGamma \varDelta \varTheta \varLambda \varXi \varPi
\varSigma \varUpsilon \varPhi \varPsi \varOmega \AcTest{\varDelta}
\]
Upright lowercase Greek, incl.~ligatures (\cs{mathgr}):
\[
\mathgr{
abGgDde ve{} vev z Thth vth
k vk LlmnXxPp vp r vr Ss vs t
Uu Ph ph ch Ps ps vO vo
\AcTest{vev}
}
\]
Upright Greek in text, no space between letters (\cs{textgr}):\\
\textgr{abGgDdee*zThthkLlmnXxPprSstUuPhphchPspsO*o*}
Do these line up appropriately? (Check out the \cs{hbar}.)
\[
\forall \mathcal{B} \Gamma \mathbf{D} \exists \mathtt{F}
G \mathcal{H} \Im \mathbf{J} \mathsf{K} \Lambda
M \aleph \emptyset \Pi \mathit{Q} \Re \Sigma
\mathtt{T} \Upsilon \mathcal{V} \mathbf{W} \Xi
\mathsf{Y} Z \angle S
\quad
a \mathbf{c} \epsilon \mathtt{i}
\kappa \mathbf{m} \nu o \varpi \mathsf{r}
s \tau \mathit{u} v \mathsf{w} z
\mathtt{g} j \mathsf{q} \chi y
\quad
b \delta \mathbf{f} \mathtt{h} k \mathsf{l} \phi
\hbar \capprod \cupprod
\]
Math mode symbols: $ \dag\, \ddag\, \S\, \P$, and the same
in text mode: \dag, \ddag, \S, \P,
and in bold series: \textbf{\dag, \ddag, \S, \P}.
Text mode symbols: \copyright, \textregistered,
and in bold series: \textbf{\copyright, \textregistered}.
Oldstyle digits (Computer Modern): \oldstylenums{1234567890};
in math: $ \oldstylenums{1234567890}$.
Active underscore: compare $A_{ j}$ vs.~$A_{\relax j}$;
the underscore kern has been blocked in the second case.
\subsection*{Glyph dimensions}
These glyphs should be optically centered:
\testglyphs\sidebearings
These subscripts should be correctly placed:
\testglyphs\subscripts
These superscripts should be correctly placed:
\testglyphs\supscripts
These subscripts and superscripts should be correctly placed:
\testglyphs\scripts
These accents should be centered:
\testglyphs\vecaccents
As should these:
\testglyphs\tildeaccents
\subsection*{Symbols}
These arrows should join up properly:
% (they will not
%do so if the \texttt{opmax}~option is used!):
\[
a \hookrightarrow b \hookleftarrow c \longrightarrow d
\longleftarrow e \Longrightarrow f \Longleftarrow g
\longleftrightarrow h \Longleftrightarrow i
\mapsto j
\]
These symbols should of similar weights:
\[
\pm + - \mp = / \backslash ( \langle [ \{
\} ] \rangle ) < \leq > \geq
\]
Are these the same size?
\[\textstyle
\oint \int \quad
\bigodot \bigoplus \bigotimes \sum \prod
\bigcup \bigcap \biguplus \bigwedge \bigvee \coprod
\]
Are these?
\[
\oint \int \quad
\bigodot \bigoplus \bigotimes \sum \prod
\bigcup \bigcap \biguplus \bigwedge \bigvee \coprod
\]
\subsection*{Sizing}
%SIZING
The subscripts should be appropriately sized:\\
(Some sizes left out.)
\begin{quote}
(\cs{tiny} omitted)\par
\testsize\scriptsize
\testsize\footnotesize
\testsize\small
\testsize\normalsize
\testsize\large
\testsize\Large
(\cs{LARGE} omitted)\par
\testsize\huge
(\cs{Huge} omitted)\par
\end{quote}
\subsection*{Delimiters}
Each row should be a different size, but within each row the delimiters
should be the same size. First with \cs{big}, etc:
\[\begin{array}{c}
\testdelims\relax\relax{a}
\testdelims\bigl\bigr{a}
\testdelims\Bigl\Bigr{a}
\testdelims\biggl\biggr{a}
\testdelims\Biggl\Biggr{a}
\end{array}\]
Then with \cs{left} and \cs{right}:
\[\begin{array}{c}
\testdelims\left\right{\begin{array}{c} a \end{array}}
\testdelims\left\right{\begin{array}{c} a\\a \end{array}}
\testdelims\left\right{\begin{array}{c} a\\a\\a \end{array}}
\testdelims\left\right{\begin{array}{c} a\\a\\a\\a \end{array}}
\end{array}\]
\subsection*{Spacing}
This paragraph should appear to be a monotone grey texture. Well,
in the bolder math versions the math will stick out\ldots{}
Suppose $f \in \mathcal{S}_n$ and $g(x) = (-1)^{|\alpha|}x^\alpha
f(x)$. Then $g \in \mathcal{S}_n$; now (\emph{c}) implies that $\hat
g = D_\alpha \hat f$ and $P \cdot D_\alpha\hat f = P \cdot \hat g =
(P(D)g)\hat{}$, which is a bounded function, since $P(D)g \in
L^1(R^n)$. This proves that $\hat f \in \mathcal S_n$. If $f_i
\rightarrow f$ in $\mathcal S_n$, then $f_i \rightarrow f$ in
$L^1(R^n)$. Therefore $\hat f_i(t) \rightarrow \hat f(t)$ for all $t
\in R^n$. That $f \rightarrow \hat f$ is a \emph{continuous} mapping
of $\mathcal S_n$ into $\mathcal S_n$ follows now from the closed
graph theorem. \emph{Functional Analysis}, W.~Rudin, McGraw--Hill,
1973.
The text in these boxes should spread out as much as the math does:
\[\begin{array}{c}
\framebox[0.980\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\framebox[\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\framebox[1.025\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\framebox[1.05\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\framebox[1.075\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\framebox[1.1\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\framebox[1.125\width][s]{For example $x+y = \min\{x,y\}
+ \max\{x,y\}$ is a formula.} \\
\end{array}\]
\clearpage
}% End of \TheBigTest
\begin{document}
\maketitle
\parindent=0pt %
\section{Introduction}
{\raggedright
This document tests the math capabilities of \texttt{mt11p}.
The MathT\i mes glyphs are included as 600\,dpi bitmaps,
not as outlines.
%We go though pretty much all of the available symbols,
%so a printer that doesn't have a lot of~RAM
%might run out of~VM\@.
The package was loaded with the default options.
Each section uses the same math version setting thoughout.
}
\section{\cs{normalmath} version}\label{test_underscore}
Test of a label containing an underscore:
We're in section~\ref{test_underscore}.
\normalmath\TheBigTest
\section{\cs{boldmath} version}
\boldmath\TheBigTest
\section{\cs{heavymath} version}
Note that some glyphs don't get bolder than
in \cs{boldmath}, but, e.g., delimiters and some symbols do.
\heavymath\TheBigTest
\message{^^J*************************************************^^J%
* Expect NFSS Font warnings about substitutions.*^^J%
*************************************************^^J}
\end{document}
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