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diff --git a/Master/texmf-dist/doc/latex/tpslifonts/__TPslifonts.tex b/Master/texmf-dist/doc/latex/tpslifonts/__TPslifonts.tex deleted file mode 100644 index b2a59e7a672..00000000000 --- a/Master/texmf-dist/doc/latex/tpslifonts/__TPslifonts.tex +++ /dev/null @@ -1,1233 +0,0 @@ -% $Id: __TPslifonts.tex,v 1.4 2002/11/14 20:46:00 hansfn Exp $ -% -% TeXPower bundle - dynamic online presentations with LaTeX -% Copyright (C) 1999-2002 Stephan Lehmke -% -% This program is free software; you can redistribute it and/or -% modify it under the terms of the GNU General Public License -% as published by the Free Software Foundation; either version 2 -% of the License, or (at your option) any later version. -% -% This program is distributed in the hope that it will be useful, -% but WITHOUT ANY WARRANTY; without even the implied warranty of -% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -% GNU General Public License for more details. -% -%----------------------------------------------------------------------------------------------------------------- -% File: __TPslifonts.tex -% -% Code for the slifonts example for the package texpower.sty. -% -% This file is input by others. Don't compile it separately. -% -%----------------------------------------------------------------------------------------------------------------- -% Author: Stephan Lehmke <Stephan.Lehmke@cs.uni-dortmund.de> -% -% v0.1 Nov 14, 2002: First version for the pre-alpha release of TeXPower. -% -% v0.2 Jan 07, 2003: Adapted to tpslifonts v0.4 (added support for cmbright). -% -% v0.4 May 28, 2003: Adapted to tpslifonts v0.6. -% - -\newcommand{\textbfsl}[1]{\textbf{\textsl{#1}}} -\newcommand{\textbfit}[1]{\textbf{\textit{#1}}} -\newcommand{\textbfsc}[1]{\textbf{\textsc{#1}}} -\newcommand{\textcsl}[1]{\textc{\textsl{#1}}} -\newcommand{\textsbsl}[1]{\textsb{\textsl{#1}}} -\newcommand{\textsbc}[1]{{\fontseries{sbc}\selectfont#1}} -\newcommand{\textb}[1]{{\fontseries{b}\selectfont#1}} -\newcommand{\textsb}[1]{{\fontseries{sb}\selectfont#1}} -\newcommand{\textc}[1]{{\fontseries{c}\selectfont#1}} -\newcommand{\textui}[1]{{\fontshape{ui}\selectfont#1}} -\newcommand{\textff}[1]{{\fontfamily{cmfr}\selectfont#1}} -\newcommand{\textffi}[1]{{\fontfamily{cmfr}\textit{#1}}} -\newcommand{\textdh}[1]{{\fontfamily{cmdh}\selectfont#1}} -\newcommand{\textfib}[1]{{\fontfamily{cmfib}\selectfont#1}} -\newcommand{\textfibsl}[1]{{\fontfamily{cmfib}\selectfont\textsl{#1}}} - -\makeatletter -\@namedef{TextFontNamelcmssOT1}{SliTeX Sans Serif (\code{lcmss})} - -\@namedef{TextFontNameShortlcmssOT1}{\code{lcmss}} - -\@namedef{TextItFontNamelcmssOT1}{SliTeX Sans-Serif Slanted (\code{lcmssi})} - -\@namedef{TextFontslcmssOT1}% -{% - {SliTeX Sans Serif (\code{lcmss})}\textnormal,% - {SliTeX Sans-Serif Slanted (\code{lcmssi})}\textsl,% - {SliTeX Sans-Serif bold (\code{lcmssb})}\textbf% -} - -\@namedef{TextFontNamelcmssT1}{European Computer Modern Sans Serif Quotation (\code{eclq})} - -\@namedef{TextFontNameShortlcmssT1}{\code{eclq}} - -\@namedef{TextItFontNamelcmssT1}{European Computer Modern Sans Serif Quotation Inclined (\code{ecli})} - -\@namedef{TextFontslcmssT1}% -{% - {European Computer Modern Sans Serif Quotation (\code{eclq})}\textnormal,% - {European Computer Modern Sans Serif Quotation Inclined (\code{ecli})}\textsl,% - {European Computer Modern Sans Serif Quotation Bold (\code{eclb})}\textbf,% - {European Computer Modern Sans Serif Quotation Bold Oblique (\code{eclo})}\textbfsl% -} - -\@namedef{TextFontNamecmrOT1}{Computer Modern Roman (\code{cmr})} -\expandafter\let\csname TextFontNamecmrmOT1\expandafter\endcsname\csname TextFontNamecmrOT1\endcsname - -\@namedef{TextFontNameShortcmrOT1}{\code{cmr}} -\expandafter\let\csname TextFontNameShortcmrmOT1\expandafter\endcsname\csname TextFontNameShortcmrOT1\endcsname - -\@namedef{TextItFontNamecmrOT1}{Computer Modern Text Italic (\code{cmti})} - -\@namedef{TextFontscmrOT1}% -{% - {Computer Modern Roman (\code{cmr})}\textnormal,% - {Computer Modern Slanted Roman (\code{cmsl})}\textsl,% - {Computer Modern Text Italic (\code{cmti})}\textit,% - {Computer Modern Roman Caps and Small Caps (\code{cmcsc})}\textsc,% - {Computer Modern Unslanted Italic (\code{cmu})}\textui,% - {Computer Modern Bold Roman (\code{cmb})}\textb,% - {Computer Modern Bold Extended Roman (\code{cmbx})}\textbf,% - {Computer Modern Bold Extended Slanted Roman (\code{cmbxsl})}\textbfsl,% - {Computer Modern Bold Extended Text Italic (\code{cmbxti})}\textbfit,% - {Computer Modern Funny Roman (\code{cmff})}\textff,% - {Computer Modern Funny Italic (\code{cmfi})}\textffi,% - {Computer Modern Dunhill Roman (\code{cmdunh})}\textdh,% - {Computer Modern Roman Fibonacci Font (\code{cmfib})}\textfib% -} - -\@namedef{TextFontNamecmrT1}{European Computer Modern Roman Medium (\code{ecrm})} -\expandafter\let\csname TextFontNamecmrmT1\expandafter\endcsname\csname TextFontNamecmrT1\endcsname - -\@namedef{TextFontNameShortcmrT1}{\code{ecrm}} -\expandafter\let\csname TextFontNameShortcmrmT1\expandafter\endcsname\csname TextFontNameShortcmrT1\endcsname - -\@namedef{TextItFontNamecmrT1}{European Computer Modern Text Italic (\code{ecti})} - -\@namedef{TextFontscmrT1}% -{% - {European Computer Modern Roman Medium (\code{ecrm})}\textnormal,% - {European Computer Modern Roman Slanted (\code{ecsl})}\textsl,% - {European Computer Modern Text Italic (\code{ecti})}\textit,% - {European Computer Modern Caps and Small Caps (\code{eccc})}\textsc,% - {European Computer Modern Bold Extend Roman (\code{ecbx})}\textbf,% - {European Computer Modern Roman Bold (Non-Extended) (\code{ecrb})}\textb,% - {European Computer Modern Bold Extended Text Italic (\code{ecbi})}\textbfit,% - {European Computer Modern Bold Extended Slanted Roman (\code{ecbl})}\textbfsl,% - {European Computer Modern Bold Extended Caps and Small Caps (\code{ecxc})}\textbfsc,% - {European Computer Modern Unslanted Italic (\code{ecui})}\textui,% -% {European Computer Modern Funny Roman (\code{ecff})}\textff,% unable to make tfm ?!? -% {European Computer Modern Funny Italic (\code{ecfi})}\textffi,% - {European Computer Modern Dunhill Roman (\code{ecdh})}\textdh,% - {European Computer Modern Fibonacci Font (\code{ecfb})}\textfib,% - {European Computer Modern Fibonacci Slanted Font (\code{ecfs})}\textfibsl% -} - -\@namedef{TextFontNamecmssOT1}{Computer Modern Sans Serif (\code{cmss})} - -\@namedef{TextFontNameShortcmssOT1}{\code{cmss}} - -\@namedef{TextItFontNamecmssOT1}{Computer Modern Slanted Sans Serif (\code{cmssi})} - -\@namedef{TextFontscmssOT1}% -{% - {Computer Modern Sans Serif (\code{cmss})}\textnormal,% - {Computer Modern Slanted Sans Serif (\code{cmssi})}\textsl,% - {Computer Modern Sans Serif Demibold Condensed (\code{cmssdc})}\textsbc,% - {Computer Modern Sans Serif Bold Extended (\code{cmssbx})}\textbf% -} - -\@namedef{TextFontNamecmssT1}{European Computer Modern Sans Serif (\code{ecss})} - -\@namedef{TextFontNameShortcmssT1}{\code{ecss}} - -\@namedef{TextItFontNamecmssT1}{European Computer Modern Sans Serif Inclined (\code{ecsi})} - -\@namedef{TextFontscmssT1}% -{% - {European Computer Modern Sans Serif (\code{ecss})}\textnormal,% - {European Computer Modern Sans Serif Inclined (\code{ecsi})}\textsl,% - {European Computer Modern Sans Serif Bold Extended (\code{ecsx})}\textbf,% - {European Computer Modern Sans Serif Bold Extended Oblique (\code{ecso})}\textbfsl,% - {European Computer Modern Sans Serif Demi Condensed (\code{ecssdc})}\textsbc% -} - -\@namedef{TextFontNamecmbrOT1}{Computer Modern Bright (\code{cmbr})} -\expandafter\let\csname TextFontNamecmbrmtOT1\expandafter\endcsname\csname TextFontNamecmbrOT1\endcsname - -\@namedef{TextFontNameShortcmbrOT1}{\code{cmbr}} -\expandafter\let\csname TextFontNameShortcmbrmtOT1\expandafter\endcsname\csname TextFontNameShortcmbrOT1\endcsname - -\@namedef{TextItFontNamecmbrOT1}{Computer Modern Bright Slanted (\code{cmbrsl})} - -\@namedef{TextFontscmbrOT1}% -{% - {Computer Modern Bright (\code{cmbr})}\textnormal,% - {Computer Modern Bright Slanted (\code{cmbrsl})}\textsl,% - {Computer Modern Bright Bold Extended (\code{cmbrbx})}\textbf% -} - -\@namedef{TextFontNamecmbrT1}{European Computer Modern Bright medium regular (\code{ebmr})} -\expandafter\let\csname TextFontNamecmbrmtT1\expandafter\endcsname\csname TextFontNamecmbrT1\endcsname - -\@namedef{TextFontNameShortcmbrT1}{\code{ebmr}} -\expandafter\let\csname TextFontNameShortcmbrmtT1\expandafter\endcsname\csname TextFontNameShortcmbrT1\endcsname - -\@namedef{TextItFontNamecmbrT1}{European Computer Modern Bright medium oblique (\code{ebmo})} - -\@namedef{TextFontscmbrT1}% -{% - {European Computer Modern Bright medium regular (\code{ebmr})}\textnormal,% - {European Computer Modern Bright medium oblique (\code{ebmo})}\textsl,% - {European Computer Modern Bright semibold regular (\code{ebsr})}\textsb,% - {European Computer Modern Bright semibold oblique (\code{ebso})}\textsbsl% -} - -\@namedef{TextFontNameccrOT1}{Concrete Roman (\code{ccr})} - -\@namedef{TextFontNameShortccrOT1}{\code{ccr}} - -\@namedef{TextItFontNameccrOT1}{Concrete Text Italic (\code{ccti})} - -\@namedef{TextFontsccrOT1}% -{% - {Concrete Roman (\code{ccr})}\textnormal,% - {Concrete Slanted Roman (\code{ccsl})}\textsl,% - {Concrete Text Italic (\code{ccti})}\textit,% - {Concrete Roman Caps and Small Caps (\code{cccsc})}\textsc,% - {Concrete Slanted Condensed Roman (\code{ccslc})}\textcsl,% - {Computer Modern Sans Serif Bold Extended (\code{cmssbx}) as a replacement for `bold' ccr}\textbf% -} - -\@namedef{TextFontNameccrT1}{European Concrete Roman (\code{eorm})} - -\@namedef{TextFontNameShortccrT1}{\code{eorm}} - -\@namedef{TextItFontNameccrT1}{European Computer Concrete Text Italic (\code{eoti})} - -\@namedef{TextFontsccrT1}% -{% - {European Concrete Roman (\code{eorm})}\textnormal,% - {European Computer Concrete Slanted (\code{eosl})}\textsl,% - {European Computer Concrete Text Italic (\code{eoti})}\textit,% - {European Concrete Roman Caps and Small Caps (\code{eocc})}\textsc,% - {European Computer Modern Sans Serif Bold Extended (\code{ecsx}) as a replacement for `bold' ccr}\textbf,% - {European Computer Modern Sans Serif Bold Extended Oblique (\code{ecso}) as a replacement for `bold slanted' ccr}% - \textbfsl% -} - -\@namedef{TTFontNamelcmssOT1}{Computer Modern Typewriter Text (\code{cmtt})} - -\@namedef{TTItFontNamelcmssOT1}{Computer Modern Italic Typewriter Text (\code{cmitt})} - -\@namedef{TTFontslcmssOT1}% -{% - {Computer Modern Typewriter Text (\code{cmtt})}\textnormal,% - {Computer Modern Italic Typewriter Text (\code{cmitt})}\textit,% - {Computer Modern Slanted Typewriter Text (\code{cmsltt})}\textsl,% - {Computer Modern Typewriter Caps and Small Caps (\code{cmtcsc})}\textsc% -} - -\@namedef{TTFontNamelcmssT1}{European Computer Modern LaTeX Typewriter (\code{ecltt})} - -\@namedef{TTItFontNamelcmssT1}{European Computer Modern Italic Typewriter Text (\code{ecit})} - -\@namedef{TTFontslcmssT1}% -{% - {European Computer Modern LaTeX Typewriter (\code{ecltt})}\textnormal,% - {European Computer Modern Italic Typewriter Text (\code{ecit})}\textit,% - {European Computer Modern Slanted Typewriter Text (\code{ecst})}\textsl,% - {European Computer Modern Typewritr Caps and Small Caps (\code{ectc})}\textsc% -} - -\@namedef{TTFontNamecmrOT1}{Computer Modern Typewriter Text (\code{cmtt})} - -\@namedef{TTItFontNamecmrOT1}{Computer Modern Italic Typewriter Text (\code{cmitt})} - -\@namedef{TTFontscmrOT1}% -{% - {Computer Modern Typewriter Text (\code{cmtt})}\textnormal,% - {Computer Modern Italic Typewriter Text (\code{cmitt})}\textit,% - {Computer Modern Slanted Typewriter Text (\code{cmsltt})}\textsl,% - {Computer Modern Typewriter Caps and Small Caps (\code{cmtcsc})}\textsc% -} - -\@namedef{TTFontNamecmrT1}{European Computer Modern Typewriter (\code{ectt})} - -\@namedef{TTItFontNamecmrT1}{European Computer Modern Italic Typewriter Text (\code{ecit})} - -\@namedef{TTFontscmrT1}% -{% - {European Computer Modern Typewriter (\code{ectt})}\textnormal,% - {European Computer Modern Italic Typewriter Text (\code{ecit})}\textit,% - {European Computer Modern Slanted Typewriter Text (\code{ecst})}\textsl,% - {European Computer Modern Typewritr Caps and Small Caps (\code{ectc})}\textsc% -} - -\expandafter\let\csname TTFontscmssOT1\expandafter\endcsname\csname TTFontscmrOT1\endcsname - -\expandafter\let\csname TTFontscmssT1\expandafter\endcsname\csname TTFontscmrT1\endcsname - -\expandafter\let\csname TTFontNamecmssOT1\expandafter\endcsname\csname TTFontNamecmrOT1\endcsname - -\expandafter\let\csname TTFontNamecmssT1\expandafter\endcsname\csname TTFontNamecmrT1\endcsname - -\expandafter\let\csname TTItFontNamecmssOT1\expandafter\endcsname\csname TTItFontNamecmrOT1\endcsname - -\expandafter\let\csname TTItFontNamecmssT1\expandafter\endcsname\csname TTItFontNamecmrT1\endcsname - -\@namedef{TTFontNamecmbrOT1}{CM Typewriter Light (\code{cmtl})} - -\@namedef{TTItFontNamecmbrOT1}{CM Typewriter Light Slanted (\code{cmsltl})} - -\@namedef{TTFontscmbrOT1}% -{% - {CM Typewriter Light (\code{cmtl})}\textnormal,% - {CM Typewriter Light Slanted (\code{cmsltl})}\textsl% -} - -\@namedef{TTFontNamecmbrT1}{EC Typewriter Light (\code{ebtl})} - -\@namedef{TTItFontNamecmbrT1}{EC Typewriter Light oblique (\code{ebto})} - -\@namedef{TTFontscmbrT1}% -{% - {EC Typewriter Light (\code{ebtl})}\textnormal,% - {EC Typewriter Light oblique (\code{ebto})}\textsl% -} - -\expandafter\let\csname TTFontsccrOT1\expandafter\endcsname\csname TTFontscmrOT1\endcsname - -\expandafter\let\csname TTFontsccrT1\expandafter\endcsname\csname TTFontscmrT1\endcsname - -\expandafter\let\csname TTFontNameccrOT1\expandafter\endcsname\csname TTFontNamecmrOT1\endcsname - -\expandafter\let\csname TTFontNameccrT1\expandafter\endcsname\csname TTFontNamecmrT1\endcsname - -\expandafter\let\csname TTItFontNameccrOT1\expandafter\endcsname\csname TTItFontNamecmrOT1\endcsname - -\expandafter\let\csname TTItFontNameccrT1\expandafter\endcsname\csname TTItFontNamecmrT1\endcsname - -\@namedef{MathFontNamecmm}{Computer Modern Math} - -\@namedef{MathFontNameccm}{Concrete Math} - -\@namedef{MathFontNameeuler}{Euler} - -\@namedef{MathFontNamecmbrm}{Computer Modern Bright Math} - -\@namedef{MathLetterFontNamecmm}{Computer Modern Math Italic (\code{cmmi})} - -\@namedef{MathLetterFontNameccm}{Concrete Math Italic (\code{xccmi})} - -\@namedef{MathLetterFontNameeuler}{Euler Roman Medium (\code{eurm})} - -\@namedef{MathLetterFontNamecmbrm}{Computer Modern Bright Math Slanted (\code{cmbrmi})} - -\@namedef{MathSymbolFontNamecmm}{Computer Modern Math Symbols (\code{cmsy})} - -\@namedef{MathSymbolFontNameccm}{Concrete Math Symbols (\code{xccsy})} - -\@namedef{MathSymbolFontNameeuler}{Euler Script Medium (\code{eusm})} - -\@namedef{MathSymbolFontNamecmbrm}{Computer Modern Bright Math Symbols (\code{cmbrmi})} - -\@namedef{MathExtensionFontNamecmm}{Computer Modern Math Extension (\code{cmex})} - -\@namedef{MathExtensionFontNameccm}{Concrete Math Extension (\code{xccex})} - -\@namedef{MathExtensionFontNameeuler}{Euler Extension (\code{euex})} - -\expandafter\let\csname MathExtensionFontNamecmbrm\expandafter\endcsname\csname MathExtensionFontNamecmm\endcsname - -\newcommand{\listdescriptions}[1] -{% - \expandafter\expandafter\expandafter\@listdescriptions\expandafter\expandafter\expandafter - {\csname#1\endcsname}% -} - -\newcommand{\@listdescriptions}[1]{\@for\temp := #1 \do {\expandafter\mkdescription\temp}} - -\newcommand{\mkdescription}[2]{} - -\newcommand{\TextFontName}{\@nameuse{TextFontName\TPSFTextfont\encodingdefault}} - -\newcommand{\TextFontNameShort}{\@nameuse{TextFontNameShort\TPSFTextfont\encodingdefault}} - -\let\nameuse\@nameuse -\makeatother - -%----------------------------------------------------------------------------------------------------------------- -% -\makeslidetitle{\TeX Power Example: Package \code{tpslifonts}}\label{Sec:tpslifonts} - -This is the demonstration document for \code{tpslifonts}, \TeX Power's slide fonts configuration package. - -Beamer and overhead presentations are often viewed under peculiar circumstances. Especially for presentations which are -projected directly `out of the computer', low power of the beamer, low resolution and an abundance of colors can lead to -severe readability problems. - -It is therefore of utmost importance to optimize font selection as much as possible towards \emph{readability}. - -The package \code{tpslifonts} offers a couple of `harmonising' combinations of text and math fonts from the (distant) -relatives of \concept{computer modern} fonts, with a couple of extras for optimising readability. - -\newpage - -The package offers the following features: -\begin{enumerate} -\item Text fonts from \concept{computer modern roman}, \concept{computer modern sans serif}, \concept{Sli\TeX{} computer - modern sans serif}, \concept{computer modern bright}, or \concept{concrete roman}. -\item Math fonts from \concept{computer modern math}, \concept{computer modern bright math}, or \concept{Euler fonts}. -\item Support of additional symbol fonts like \concept{AMS symbols} or \concept{doublestroke}. -\item All fonts configured for `smooth scaling' (like in the \code{type1cm} package). -\item Avoiding fonts not freely available in \concept{Type 1} format. -\item Careful \concept{design size} selection for optimum readability. -\end{enumerate} - -\newpage - -In the following, the fonts configured by this package are listed, augmented by font samples and some larger examples -which hopefully allow to review the configuration parameters. - -Note that there are a couple of options and parameter settings in the preamble of \code{slifontsexample.tex} which allow -to try different configuration variants. - -This document has been typeset using \encodingdefault{} font encoding. - -\section{Text Fonts} - -Package \code{tpslifonts} has configured the following \concept{text fonts}: - -\renewcommand{\mkdescription}[2] -{% - - \medskip\pagebreak[3] - - \hrule - - #1:\\ #2{The quick brown fox jumps over the lazy dog.} - -}% -\listdescriptions{TextFonts\TPSFTextfont\encodingdefault} - -\medskip - -\hrule - -\medskip - -\section{Typewriter Fonts} - -\ifthenelse{\isundefined{\TPSFttscale}}{} -{% - \ifthenelse{\equal{\TPSFTextfont}{lcmss}} - {For harmonising better with \ifthenelse{\equal{\encodingdefault}{OT1}}{\code{lcmss}}{\code{eclq}}, t} - {T}% - ypewriter fonts are scaled up by a factor of $\TPSFttscale$. -}% - -Package \code{tpslifonts} has configured the following \concept{typewriter fonts}: - -\renewcommand{\mkdescription}[2] -{% - - \medskip\pagebreak[3] - - \hrule - - #1:\\ #2{\texttt{The quick brown fox jumps over the lazy dog.}} - -}% -\listdescriptions{TTFonts\TPSFTextfont\encodingdefault} - -\medskip - -\hrule - -\medskip - -\section{Math Fonts} - -\ifthenelse{\equal{\TPSFMathfont}{euler}} -{% - The main math fonts are derived from the \concept{\MathFontNameeuler} fonts. Operators% - \ifthenelse{\boolean{TPSFeulerdigits}}{}{ and digits} are taken from \TextFontName. -}% -{% - The main math fonts are derived from the \concept{\nameuse{MathFontName\TPSFMathfont}} fonts. - \ifthenelse{\boolean{TPSFtextops}}% - {Operators, digits, and upper case greek letters are taken from \TextFontName.} - {}% -} - -\ifthenelse{\isundefined{\TPSFmathscale}}{} -{% - \ifthenelse{\equal{\TPSFTextfont}{lcmss}} - {For harmonising better with \ifthenelse{\equal{\encodingdefault}{OT1}}{\code{lcmss}}{\code{eclq}}, m} - {M}% - ath fonts are scaled up by a factor of $\TPSFmathscale$. % - \ifthenelse{\equal{\TPSFMathfont}{euler}} {Euler fonts are scaled up by a factor of $\TPSFeulerscale$. } - {}% - \ifthenelse{\equal{\TPSFMathfont}{cmbrm}} - {The cmbright math fonts are scaled up by a factor of $\TPSFcmbrscale$. } - {}% -}% - -\medskip\pagebreak[3] - -\hrule\nopagebreak - -\ifthenelse{\equal{\TPSFMathfont}{euler}} -{% - Operators\ifthenelse{\boolean{TPSFeulerdigits}}{}{ and digits} are taken from \TextFontName:\\ - $\min \max \sup \lim \ifthenelse{\boolean{TPSFeulerdigits}}{}{1 2 3 4 5}$ - - \medskip - - \hrule - - Latin and greek letters\ifthenelse{\boolean{TPSFeulerdigits}}{, digits,}{} and some symbols are taken from (virtual) - Euler Roman (\code{zeur}):\\ - $abcd ABCD>/<\alpha \beta \gamma \delta\Phi \Pi \Gamma \Theta\ifthenelse{\boolean{TPSFeulerdigits}}{1 2 3 4 5}{}$ - - \medskip - - \begin{samepage} - \hrule\nopagebreak - - Symbols and calligraphic letters are taken from (virtual) Euler Script (\code{zeus}):\\ - $ \mathcal{ABC} -*+ = \div\equiv \leq \forall \cap \cup \nabla \neq$ - \par - \end{samepage} - - \medskip - - \hrule - - \parbox{\linewidth-\widthof{$\displaystyle\left(\sum^{\left\{\bigcup\limits^\bigoplus\right\}}_{\left[\prod\limits_\biguplus\right]}\right)$}-1ex} - {% - Large and growing symbols are taken from (virtual) Euler Extension (\code{zeuex}). - }\hfill - $\displaystyle\left(\sum^{\left\{\bigcup\limits^\bigoplus\right\}}_{\left[\prod\limits_\biguplus\right]}\right)$ -} -{% - Operators, digits, some symbols and upper case greek letters are taken from - \nameuse{TextFontName\TPSFOperatorfont OT1}% - :\\ - $\min \max \sup \lim 1 2 3 4 5 + = \Phi \Pi \Gamma \Theta$ - - \medskip - - \hrule - - Latin and lower case greek letters and some symbols are taken from \nameuse{MathLetterFontName\TPSFMathfont}% - :\\ - $abcd ABCD >/< \alpha \beta \gamma \delta$ - - \medskip - -\begin{samepage} - \hrule\nopagebreak - - Symbols and calligraphic letters are taken from \nameuse{MathSymbolFontName\TPSFMathfont}% - :\\ - $\mathcal{ABC} -*\div\equiv \leq \forall \cap \cup \nabla \neq$ - \par -\end{samepage} - -\medskip - -\begin{samepage} - \hrule\nopagebreak - -\parbox{\linewidth-\widthof{$\displaystyle\left(\sum^{\left\{\bigcup\limits^\bigoplus\right\}}_{\left[\prod\limits_\biguplus\right]}\right)$}-1ex} -{% - Large and growing symbols are taken from \nameuse{MathExtensionFontName\TPSFMathfont}. -}\hfill -$\displaystyle\left(\sum^{\left\{\bigcup\limits^\bigoplus\right\}}_{\left[\prod\limits_\biguplus\right]}\right)$ -\par -\end{samepage} -} - -\medskip - -\ifthenelse{\boolean{TPSFamsfonts}} -{% - \begin{samepage} - \hrule\nopagebreak - - \ifthenelse{\equal{\TPSFMathfont}{cmbrm}} - {% - Fraktur letters are taken from Euler Fraktur (\code{eufm}):\\ - $\mathfrak{abcdABCD}$ - \par - \end{samepage} - - \medskip - - \begin{samepage} - \hrule\nopagebreak - - Blackboard bold letters and a lot of additional math symbols are taken from the cmbright AMS math fonts - (\code{cmbras}, \code{cmbrbs}):\\ - $\mathbb{NZQR} \Cap \boxtimes \succapprox \subseteqq \nsubseteq \curvearrowright \complement \varnothing$ - } - {% - Fraktur letters, blackboard bold letters, and a lot of additional math symbols are taken from the AMS math fonts - (\code{msam}, \code{msbm}, \code{eufm}):\\ - $\mathfrak{abcdABCD}\mathbb{NZQR} \Cap \boxtimes \succapprox \subseteqq \nsubseteq \curvearrowright \complement - \varnothing$ - } - \par - \end{samepage} - - \medskip -}% -{} - -\ifthenelse{\boolean{TPSFlasy}\and\not\boolean{TPSFwasysym}} -{% - \begin{samepage} - \hrule\nopagebreak - - A couple of additional math symbols are taken from the \LaTeX{} symbol font (\code{lasy}):\\ - $\mho\Join\Box\leadsto\Diamond\sqsubset\sqsupset$ - \par - \end{samepage} - - \medskip -}% -{} - -\ifthenelse{\boolean{TPSFstmaryrd}} -{% - \begin{samepage} - \hrule\nopagebreak - - Additional math symbols are taken from St Mary's Road symbol font (\code{stmary}):\\ - $\boxast \merge \nplus \varolessthan \subsetpluseq \lightning$ - \par - \end{samepage} - - \medskip -}% -{} - -\ifthenelse{\boolean{TPSFwasysym}} -{% - \begin{samepage} - \hrule\nopagebreak - - Additional symbols are taken from Waldis symbol font (\code{wasy}):\\ - $\oiint$\space \permil\space \phone\space \diameter\space \smiley\space \venus\space \mars - \par - \end{samepage} - - \medskip -}% -{} - -\ifthenelse{\boolean{TPSFrsfs}} -{% - \begin{samepage} - \hrule\nopagebreak - - Upper case script letters are taken from Ralph Smith Formal Script (\code{rsfs}):\\ - $\mathscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$ - \par - \end{samepage} - - \medskip -}% -{} - -\ifthenelse{\boolean{TPSFdstroke}} -{% - \begin{samepage} - \hrule\nopagebreak - - Double stroke letters are taken from Doublestroke Font - (\ifthenelse{\equal{\TPSFOperatorfont}{cmr}}{\code{dsrom}}{\code{dsss}}):\\ - $\mathds{ABCDEFGHIJKLMNOPQRSTUVWXYZ1hk}$ - \par - \end{samepage} - - \medskip -}% -{} - -\hrule - -\newpage -\subsection{Math Examples} -Next, some examples of math formulae so you can see how the fonts work together (translations from german done by me). - -\ifthenelse{\isundefined{\align}}{} -{% -\medskip - -\hrule - -\begin{minipage}{\linewidth} - \underl{From The Book.} - \begin{presentbox} - \setlength{\abovedisplayskip}{.3\abovedisplayskip}% - \textbf{(D)}\quad The functions $f$ and $g$ fulfil the same functional equation: - $f\left(\frac{x}{2}\right)+f\left(\frac{x+1}{2}\right)=2f(x)$ and - $g\left(\frac{x}{2}\right)+g\left(\frac{x+1}{2}\right)=2g(x)$. - - For $f(x)$, we obtain this from the addition formulas for the sine and cosine: - \begin{align*} - f\left(\textstyle\frac{x}{2}\right)+f\left(\textstyle\frac{x+1}{2}\right) - &=\pi - \left[\frac{\cos\frac{\pi x}{2}}{\sin\frac{\pi x}{2}}-\frac{\sin\frac{\pi x}{2}}{\cos\frac{\pi x}{2}}\right] - \\[1ex] - &=2\pi\frac{\cos\left(\frac{\pi x}{2}+\frac{\pi x}{2}\right)}{\sin\left(\frac{\pi x}{2}+\frac{\pi x}{2}\right)} - =2f(x)\text{.} - \end{align*} - - The functional equation for $g$ follows from - \begin{displaymath} - g_N\left(\textstyle\frac{x}{2}\right)+g_N\left(\textstyle\frac{x+1}{2}\right) - =2g_{2N}(x)+\frac{2}{x+2N+1}\text{.} - \end{displaymath} - \end{presentbox} -\end{minipage}% -} - -\ifthenelse{\boolean{TPSFdstroke}\and\not\isundefined{\align}} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From an undergrad book on calculus.} - \begin{presentbox} - \begin{align*} - c_k&=\frac{1}{2\pi}\int_{0}^{2\pi} f(x) e^{-\mathrm{i}kx}\,\mathrm{d}x - =\frac{1}{2\pi}\sum_{j=1}^{r}\int_{t_{j-1}}^{t_j} f(x) e^{-\mathrm{i}kx}\,\mathrm{d}x\\ - &=\frac{-\mathrm{i}}{2\pi k}\int_{0}^{2\pi} \varphi(x) e^{-\mathrm{i}kx}\,\mathrm{d}x - =\frac{-\mathrm{i}\gamma_k}{k}\text{.} - \end{align*} - As for all $\alpha,\beta\in\mathds{C}$, - $\left|\alpha\beta\right|\leq\frac{1}{2}\left(\left|\alpha\right|^2+\left|\beta\right|^2\right)$, it holds that - \begin{displaymath} - \left|c_k\right|\leq\frac{1}{2}\left(\frac{1}{\left|k\right|^2}+\left|\gamma_k\right|^2\right)\text{.} - \end{displaymath} - From the convergence of $\sum\limits_{k=1}^{\infty}\frac{1}{k^2}$ and - $\sum\limits_{k=-\infty}^{\infty}\left|\gamma_k\right|^2$, it follows that - \begin{displaymath} - \sum_{k=-\infty}^{\infty}\left|c_k\right|<\infty\text{.} - \end{displaymath} - \end{presentbox} -\end{minipage}% -} -{} - -\ifthenelse{\isundefined{\align}\or\isundefined{\extrarowheight}}{} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From an undergrad book on calculus (2nd volume).} - \begin{presentbox} - \small - By \name{Fubini}'s theorem, - \setcounter{equation}{8}% - \begin{equation} - \label{eq:GaussLemma1} - \int\limits_{Z_\varepsilon}\operatorname{div} F \,\mathrm{d}x - = \sum_{k=1}^{n}\, - \underbrace - {% - \int\limits_{Q'} - \left( - \int\limits^{h\left(x'\right)-\varepsilon}_{-\infty}\partial_kF_k\left(x',x_n\right)\,\mathrm{d}x_n - \right) - \,\mathrm{d}x' - }_{{}\mathrel{=:} I_k} - \text{.} - \end{equation} - Evaluation of $I_k$: Obviously, - \begin{displaymath} - I_n=\int\limits_{Q'}F_n\left(x',h(x'-\varepsilon)\right)\,\mathrm{d}x'\text{.} - \end{displaymath} - In the case $1\leq k \leq n-1$, we employ the identity - \begin{displaymath} - \partial_k - \left( - \int\limits^{h\left(x'\right)-\varepsilon}_{-\infty}\!\!\!\!\!\!F_k\left(x',x_n\right)\,\mathrm{d}x_n - \right) - = - \begin{array}[t]{@{}>{\displaystyle}l@{}} - \int\limits^{h\left(x'\right)-\varepsilon}_{-\infty} - \!\!\!\!\!\!\partial_kF_k\left(x',x_n\right)\,\mathrm{d}x_n\\ - {}+F_k\left(x',h(x'-\varepsilon)\right)\cdot\partial_k h\left(x'\right)\text{.} - \end{array} - \end{displaymath} - \end{presentbox} -\end{minipage}% -} - -\newpage - -\ifthenelse{\isundefined{\align}\or\isundefined{\CD}}{} -{% -\begin{minipage}{\linewidth} - \underl{From a book on functional analysis.} - \begin{presentbox} - \textbf{Definition 25}\quad Let $\mathcal{C}$ and $\mathcal{D}$ be categories and $\mathcal{F}, \mathcal{G}$ - functors from $\mathcal{C}$ into $\mathcal{D}$. A mapping - $\eta:\operatorname{Ob}\mathcal{C}\to\operatorname{Mor}\mathcal{D}$ is called a \concept{natural transformation - between $\mathcal{F}$ and $\mathcal{G}$} if - \begin{enumerate} - \item[(i)] $\forall - A\in\operatorname{Ob}\mathcal{C}: - \eta(A)\in\operatorname{Mor}_{\mathcal{D}}\left(\mathcal{F}(A),\mathcal{G}(A)\right)$ - \item[(ii)] $\forall A,B\in\operatorname{Ob}\mathcal{C}\;\forall f\in\operatorname{Mor}_{\mathcal{C}}(A,B):$ - \begin{align*} - \begin{CD} - \mathcal{F}(A)@>{\mathcal{F}(f)}>>\mathcal{F}(B)\\ - @V{\eta(A)}VV @VV{\eta(B)}V\\ - \mathcal{G}(A)@>>{\mathcal{G}(f)}>\mathcal{G}(B)\\ - \end{CD} - &&\text{or}&& - \begin{CD} - \mathcal{F}(A)@<{\mathcal{F}(f)}<<\mathcal{F}(B)\\ - @V{\eta(A)}VV @VV{\eta(B)}V\\ - \mathcal{G}(A)@<<{\mathcal{G}(f)}<\mathcal{G}(B)\\ - \end{CD} - \end{align*} - respectively, commute, if $\mathcal{F}, \mathcal{G}$ are covariant or contravariant, respectively. - \end{enumerate} - - This is denoted as $\eta:\mathcal{F}\to \mathcal{G}$. Such a natural transformation is called a \concept{natural - equivalence between $\mathcal{F}$ and $\mathcal{G}$} if $\eta(A)$ is an isomorphism for every - $A\in\operatorname{Ob}\mathcal{C}$. - \end{presentbox} -\end{minipage}% -} - -\ifthenelse{\boolean{TPSFamsfonts}\and\not\isundefined{\align}\and\not\isundefined{\MAT}} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From an undergrad book on linear algebra.} - \begin{presentbox} - \textit{Step 2.}\quad Determine an eigenvector $v_2$ for an eigenvalue $\lambda_2$ of $F_2$ ($\lambda_2$ is also - an eigenvalue of $F_1$). Next, determine a $j_2\in\{1,\dots,n\}$ such that - \begin{displaymath} - \mathfrak{B}_3 := (v_1,v_2,w_1,\dots,\widehat{w_{j_1}},\dots,\widehat{w_{j_2}},\dots,w_n) - \end{displaymath} - is a base of $V$. - - Next, calculate - \vspace*{-\baselineskip} - \begin{displaymath} - M_{\mathfrak{B}_3}(F)= - \left( - \begin{MAT}(b){ccccccc} - \lambda_1&\cdot&\cdot&\cdot&\cdot&\cdot&\cdot\\ - 0&\lambda_2&\cdot&\cdot&\cdot&\cdot&\cdot\\ - \cdot&0&&&&&\\ - \cdot&\cdot&&&&&\\ - \cdot&\cdot&&&A_3&&\\ - \cdot&\cdot&&&&&\\ - 0&0&&&&& - \addpath{(2,0,0)rrrrruuuuulllllddddd}\\ - \end{MAT} - \right)\text{.} - \end{displaymath} - If $W_3:=\operatorname{Span}(w_1,\dots,\widehat{w_{j_1}},\dots,\widehat{w_{j_2}},\dots,w_n)$, then $A_3$ - determines a linear mapping $F_3:W_3\to W_3$. - \end{presentbox} -\end{minipage}% -} -{} - -\ifthenelse{\isundefined{\align}}{} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From an undergrad book on linear algebra (2nd volume).} - \begin{presentbox} - \DeclareRobustCommand{\with}{\;\vline\;}% - \DeclareRobustCommand{\Set}[2]{\left\{#1\with#2\right\}}% - \setlength{\abovedisplayskip}{.5\abovedisplayskip}% - \setlength{\belowdisplayskip}{.5\belowdisplayskip}% - \textit{Remark.}\quad If $\left(Y_i\right)_{i\in I}$ is a family of affine subspaces $Y_i$ of an affine space $X$, - then - \begin{displaymath} - Y := \bigcup_{i\in I} Y_i\subset X - \end{displaymath} - is again an affine subspace. If $Y\neq\emptyset$, then - \begin{displaymath} - T(Y)=\bigcup_{i\in I} T\left(Y_i\right)\text{.} - \end{displaymath} - - \textit{Proof.}\quad For $Y=\emptyset$, nothing is to be proved. Otherwise, there is a fixed point $p_0\in Y$ such - that - \begin{align*} - T(Y)&=\Set{\overrightarrow{p_0q}\in T(X)}{q\in\bigcup_{i\in I} Y_i} \\ - &= \bigcup_{i\in I}\Set{\overrightarrow{p_0q}\in T(X)}{q\in Y_i}=\bigcup_{i\in I} T\left(Y_i\right)\text{.} - \end{align*} - From this, both claims follow. - \end{presentbox} -\end{minipage} -} - -\ifthenelse{\boolean{TPSFrsfs}\and\not\isundefined{\align}} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From a book on measure theory.} - \begin{presentbox} - Analogously, the general \concept{associativity} of $\sigma$-Algebra products is shown, that is - \begin{equation} - \tag{23.12} - \left(\bigotimes_{i=1}^{m}\mathscr{A}_i\right)\otimes\left(\bigotimes_{i=m+1}^{n}\mathscr{A}_i\right) - =\bigotimes_{i=1}^{n}\mathscr{A}_i - \makebox[0pt][l]{\normalcolor\quad($1\leq m<n$).} - \qquad\qquad\qquad\quad - \end{equation} - Statement (23.11) allows to prove the existence of the product measure for all $n\geq 2$ by induction. - - \medskip - - \textbf{23.9 Theorem}\quad\textit{For $\sigma$-finite measures $\mu_1,\dots,\mu_n$ on - $\mathscr{A}_1,\dots,\mathscr{A}_n$, there exists exactly one measure $\pi$ on - $\mathscr{A}_1\otimes\dots\otimes\mathscr{A}_n$ such that - \begin{equation} - \tag{23.13} - \pi\left(A_1\times\dots\times A_n\right)=\mu_1(A_1)\cdot\dots\cdot\mu_n(A_n) - \end{equation} - for all $A_i\in\mathscr{A}_i$ ($i=1,\dots,n$). Here, $\pi$ is also $\sigma$-finite.} - \end{presentbox} -\end{minipage}% -} -{} - -\ifthenelse{\boolean{TPSFrsfs}\and\boolean{TPSFdstroke}\and\not\isundefined{\align}} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From a book on probability theory.} - \begin{presentbox} - \textbf{17.3 Lemma}\quad\textit{If\/ $T$ takes values exclusively from $\mathds{N}$, then $X_T$ is an - $\mathscr{F}_T$-measurable random variable with values in $\left(\Omega',\mathscr{A}'\right)$. If only - $P\left\{T<+\infty\right\}=1$ holds, then up to $P$-almost certain equality there exists exactly one - $\mathscr{F}_T$-measurable random variable $X^*$ with values in $\left(\Omega',\mathscr{A}'\right)$ which - fulfils the condition - \begin{equation} - \tag{17.7} - X^*(\omega)=X_{T(\omega)}(\omega) - \makebox[0pt][l]{\normalcolor\quad for all $\omega\in\{T<\infty\}$.} - \qquad\qquad - \end{equation} - }% - - \smallskip - - \textit{Proof.}\quad It suffices to treat the second case and provide an $\mathscr{F}_T$-measurable random - variable fulfilling the given condition. To this end, choose an arbitrary $\omega'\in\Omega'$. We set - \begin{displaymath} - X^*(\omega) := - \begin{cases} - X_{T(\omega)}(\omega),&\omega\in\{T<\infty\}\text{,}\\ - \omega',&\omega\in\{T=\infty\}\text{.} - \end{cases} - \end{displaymath} - For every $A'\in\mathscr{A}'$, it is to be proved that $A := \left\{X^*\in A'\right\}$ is an element of - $\mathscr{F}_T$. - \end{presentbox} -\end{minipage}% -} -{} - -\ifthenelse{\isundefined{\align}\or\isundefined{\extrarowheight}}{} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From my MSc Thesis.} - \begin{presentbox} - \newcommand{\PV}{\operatorname{PV}}% - If we expand equations (4.102) and (4.103), we get - \begin{align*} - \lefteqn{\left(\sum_{q\in\PV}\max\left(M(q),M(\neg q)\right)\right)-\delta}\quad&\\[1ex] - &= - \begin{array}[t]{@{}>{\displaystyle}l@{}} - \sum_{\substack{q\in\PV\\q\neq p}} - \max - \left( - \begin{array}{@{}l@{}} - \frac{m}{M_{{>}s}'\left(\neg p\right)}\cdot M_{{>}s}'(q) - +\frac{m}{M_{s}'\left(p\right)}\cdot M_{s}'(q),\\[2ex] - \frac{m}{M_{{>}s}'\left(\neg p\right)}\cdot M_{{>}s}'(\neg q) - +\frac{m}{M_{s}'\left(p\right)}\cdot M_{s}'(\neg q) - \end{array} - \right)\\[6ex] - {}-\frac{m}{M_{{>}s}'\left(\neg p\right)}\cdot\delta_{{>}s}' - -\frac{m}{M_{s}'\left(p\right)}\cdot\delta_{s}'\\[3ex] - {}-\left(\frac{m}{M_{{>}s}'\left(\neg p\right)}-1\right)\cdot r_1 - -\left(\frac{m}{M_{s}'\left(p\right)}-1\right)\cdot r_2\\[3ex] - {}-\max(r_1,r_2)+m - \end{array} - \end{align*} - \end{presentbox} -\end{minipage}% -} - -\ifthenelse{\boolean{TPSFamsfonts}\and\not\isundefined{\align}} -{% -\newpage - -\begin{minipage}{\linewidth} - \underl{From my PhD Thesis.} - \begin{presentbox} - \DeclareRobustCommand{\Lcap}{\ensuremath{\sqcap}} - \DeclareRobustCommand{\FPcapIcup}{\ensuremath{\uplus}} - \DeclareRobustCommand{\pFl}[1]{\ensuremath{\overline{#1}}} - \DeclareRobustCommand{\Lprimecup}{\ensuremath{\curlyvee}} - \def\FpFl(#1,#2)% - {% - \ensuremath{\mathord - {% - \mathchoice - {\sideset{^{#1}}{^{\,}}{\mathop{\displaystyle\pFl{#2}}}}% - {\sideset{^{#1}}{^{\,}}{\mathop{\pFl{#2}}}}% - {\sideset{^{\scriptscriptstyle#1}}{^{\,}}{\mathop{\scriptstyle\pFl{#2}}}}% - {\sideset{^{\scriptscriptstyle#1}}{^{\,}}{\mathop{\scriptscriptstyle\pFl{#2}}}}% - }}% - } - \DeclareRobustCommand{\Lprimesub}{\ensuremath{\preccurlyeq}} - \DeclareRobustCommand{\Lsub}{\ensuremath{\sqsubseteq}} - \DeclareRobustCommand{\FIsub}{\ensuremath{\subseteqq}} - By Lemma 2.2.7, - \begin{displaymath} - \FpFl(d,a)\FPcapIcup\FpFl(d',b) - =\FpFl({\left(d\Lprimecup \delta\left(\FpFl(d',b)\right)\right)},{a\Lcap \alpha\left(\FpFl(d',b)\right)}). - \end{displaymath} - Furthermore, - \begin{align*} - d&\Lprimesub d\Lprimecup \delta\left(\FpFl(d',b)\right),\\ - a\Lcap \alpha\left(\FpFl(d',b)\right)&\Lsub a. - \end{align*} - From this, - \begin{displaymath} - \FpFl(d,a)\FIsub\FpFl(d,a)\FPcapIcup\FpFl(d',b) - \end{displaymath} - follows by (2.3). - \end{presentbox} -\end{minipage}% -} -{} - -\newcounter{char}% -\newcounter{symcnt}% -\makeatletter -\newcommand{\charlist}[4] -{% - \begingroup - \setcounter{char}{#1} - \whiledo{\value{char}<#2} - {% - \medskip - \hrule - \hbox{\@for\charht := #3\do{\fontsize{\charht}{\charht}\selectfont#4}}% - \stepcounter{char}% - \hrule - }% - \endgroup -}% -\newcommand{\mksymline}[2] -{% - \begingroup - \medskip - \hrule - \hbox - {% - \@for\charht := #2\do - {% - \fontsize{\charht}{\charht}\selectfont - \setcounter{symcnt}{0}% - $% - \@for\thesymbol := #1\do - {% - \ifcase\value{symcnt}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{{\thesymbol}}{}% - \or\ifthenelse{\equal{\TPSFMathfont}{euler}}{\,\vrule\,{\thesymbol}}{}% - \or\ifthenelse{\equal{\TPSFMathfont}{euler}}{}{{\thesymbol}}% - \or\ifthenelse{\equal{\TPSFMathfont}{euler}}{}{\,\vrule\,{\thesymbol}}% - \or\ifthenelse{\equal{\TPSFMathfont}{euler}}{}{\,\vrule\,{\thesymbol}}% - \or\ifthenelse{\boolean{TPSFamsfonts}}{\,\vrule\,{\thesymbol}}{}% - \or\ifthenelse{\boolean{TPSFlasy}\and\not\boolean{TPSFwasysym}}{\,\vrule\,{\thesymbol}}{}% - \or\ifthenelse{\boolean{TPSFstmaryrd}}{\,\vrule\,{\thesymbol}}{}% - \or\ifthenelse{\boolean{TPSFwasysym}}{\,\vrule\,{\thesymbol}}{}% - \fi - \stepcounter{symcnt}% - }% - \;\vrule width1ex\;% - $% - }% - }% - \hrule - \endgroup -}% -\makeatother - -\ifthenelse{\equal{\TPSFTextfont}{lcmss}} -{% -\newpage - -\section{Comparison of Characters} -As mentioned before, \code{tpslifonts} does a little scaling and fiddling with design sizes to make the fonts harmonize -as much as possible. - -The following scaling factors ate used in this document: -\begin{center} - \begin{tabular}{lll} - Name&Purpose&Value\\\hline - \macroname{TPSFttscale}&Typewriter fonts&\TPSFttscale\\\hline - \macroname{TPSFmathscale}&Math fonts related to cm math&\TPSFmathscale\\\hline - \macroname{TPSFeulerscale}&Euler math fonts&\TPSFeulerscale\\\hline - \macroname{TPSFcmbrscale}&Cmbright math fonts&\TPSFcmbrscale\\\hline - \end{tabular} -\end{center} - -Unfortunately, the base font \TextFontName{} is quite excentric wrt the height ratio of upper case and lower case -letters; compare \TextFontNameShort{} \present{a\,A} with \nameuse{TextFontNameShortcmss\encodingdefault} -\present{\fontfamily{cmss}\selectfont a\,A}. - -For this reason, no amount of scaling can make \TextFontNameShort{} harmonise completely with `normal' fonts. - -In this section, you will see lists of similar characters from different fonts, arranged such that you can check how -good the sizes match. You then have to set your priorities and decide the respective scaling factors accordingly. See -the comments in the preamble of \code{slifontsexample.tex} for instructions on how to experiment with scaling. - -To account for different design sizes, the character samples are shown in several sizes. - -\subsection{Digits} - -Digits from \TextFontName, \nameuse{TTFontName\TPSFTextfont\encodingdefault}% -\ifthenelse{\boolean{TPSFeulerdigits}}{, Euler Roman (\code{zeur})}{}% -\ifthenelse{\equal{\TPSFOperatorfont}{\TPSFTextfont}}{}{, \nameuse{TextFontName\TPSFOperatorfont OT1}}, -\nameuse{TextItFontName\TPSFTextfont\encodingdefault}, and \nameuse{TTItFontName\TPSFTextfont\encodingdefault} are -listed in sizes 5pt, 6pt, 7pt, 8pt, 9pt, 10pt, 11pt, and 17pt. - -\charlist{48}{58}{5,6,7,8,9,10,11,17} -{% - \char\value{char}\texttt{\char\value{char}}% - \ifthenelse - {% - \boolean{TPSFeulerdigits}\OR\not\equal{\TPSFOperatorfont}{\TPSFTextfont}% - }% - {$\char\value{char}$}{}% - \,\textit{\char\value{char}}\textit{\texttt{\char\value{char}}} -} - -\subsection{Upper Case Letters} - -Upper Case Letters from \TextFontName, \nameuse{TTFontName\TPSFTextfont\encodingdefault}% -\ifthenelse{\equal{\TPSFMathfont}{euler}}{, Euler Roman (\code{zeur})}{}% -\ifthenelse{\equal{\TPSFOperatorfont}{\TPSFTextfont}}{}{, \nameuse{TextFontName\TPSFOperatorfont OT1}}% -\ifthenelse{\equal{\TPSFMathfont}{euler}}{, Euler Script (\code{zeus}; for calligraphic letters)}{}% -\ifthenelse{\boolean{TPSFamsfonts}} -{% - , Euler Fraktur (\code{eufm})% - , \ifthenelse{\equal{\TPSFMathfont}{cmbrm}}{cmbright AMS math (\code{cmbrbs}}{AMS math (\code{msbm}}% - ; for blackboard bold)% -}{}% -\ifthenelse{\boolean{TPSFdstroke}} -{, Doublestroke Font (\ifthenelse{\equal{cmr}{\TPSFTextfont}}{\code{dsrom}}{\code{dsss}})}{}% -, \nameuse{TextItFontName\TPSFTextfont\encodingdefault}, \nameuse{TTItFontName\TPSFTextfont\encodingdefault}% -\ifthenelse{\equal{\TPSFMathfont}{euler}}{}{, \nameuse{MathLetterFontName\TPSFMathfont}}% -\ifthenelse{\equal{\TPSFMathfont}{euler}}{}{, \nameuse{MathSymbolFontName\TPSFMathfont} for calligraphic letters}% -\ifthenelse{\boolean{TPSFrsfs}}{, Ralph Smith Formal Script (\code{rsfs})}{} -are listed in sizes 5pt, 7pt, and 10pt. - -\charlist{65}{91}{5,6,7,10} -{% - \char\value{char}\texttt{\char\value{char}}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{$\char\value{char}$}{}% - \ifthenelse{\equal{\TPSFOperatorfont}{\TPSFTextfont}}{} - {$\operatorname{\char\value{char}}$}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{$\mathcal{\char\value{char}}$}{}% - \ifthenelse{\boolean{TPSFamsfonts}}{$\mathfrak{\char\value{char}}\mathbb{\char\value{char}}$}{}% - \ifthenelse{\boolean{TPSFdstroke}}{$\mathds{\char\value{char}}$}{}% - \,\textit{\char\value{char}}\textit{\texttt{\char\value{char}}}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{}{$\char\value{char}$}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{}{$\mathcal{\char\value{char}}$}% - \ifthenelse{\boolean{TPSFrsfs}}{$\mathscr{\char\value{char}}$}{}% - ~ -} - -\subsection{Lower Case Letters} - -Lower Case Letters from \TextFontName, \nameuse{TTFontName\TPSFTextfont\encodingdefault}% -\ifthenelse{\equal{\TPSFMathfont}{euler}}{, Euler Roman (\code{zeur})}{}% -\ifthenelse{\equal{\TPSFOperatorfont}{\TPSFTextfont}}{}{, \nameuse{TextFontName\TPSFOperatorfont OT1}}% -\ifthenelse{\boolean{TPSFamsfonts}}{, Euler Fraktur (\code{eufm})}{}% -, \nameuse{TextItFontName\TPSFTextfont\encodingdefault}, \nameuse{TTItFontName\TPSFTextfont\encodingdefault}% -\ifthenelse{\equal{\TPSFMathfont}{euler}}{}{, \nameuse{MathLetterFontName\TPSFMathfont}} -are listed in sizes 5pt, 7pt, 10pt, 12pt, and 14pt. - -\charlist{97}{123}{5,7,10,12,14} -{% - \char\value{char}\texttt{\char\value{char}}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{$\char\value{char}$}{}% - \ifthenelse{\equal{\TPSFOperatorfont}{\TPSFTextfont}}{} - {$\operatorname{\char\value{char}}$}% - \ifthenelse{\boolean{TPSFamsfonts}}{$\mathfrak{\char\value{char}}$}{}% - \,\textit{\char\value{char}}\textit{\texttt{\char\value{char}}}% - \ifthenelse{\equal{\TPSFMathfont}{euler}}{}{$\char\value{char}$}% - ~ -} - -\newpage - -\subsection{Math Symbols} - -The different math fonts define symbols of similar shape, which should look equally large. Symbols from -\ifthenelse{\equal{\TPSFMathfont}{euler}} -{Euler Roman (\code{zeur}), Euler Symbol (\code{zeus})} -{% - \nameuse{TextFontName\TPSFOperatorfont OT1}, \nameuse{MathLetterFontName\TPSFMathfont}, - \nameuse{MathSymbolFontName\TPSFMathfont}% -}% -\ifthenelse{\boolean{TPSFamsfonts}}{, \ifthenelse{\equal{\TPSFMathfont}{cmbrm}}{cmbright }{}AMS math fonts}{}% -\ifthenelse{\boolean{TPSFlasy}\and\not\boolean{TPSFwasysym}}{, \LaTeX{} symbol font (\code{lasy})}{}% -\ifthenelse{\boolean{TPSFstmaryrd}}{, St Mary's Road symbol font (\code{stmary})}{}% -\ifthenelse{\boolean{TPSFwasysym}}{, Waldis symbol font (\code{wasy})}{} -are listed in sizes 5pt, 7pt, 10pt, and 12pt. - -To make clear which characters stem from which font, they are separated by vertical bars. - -\mksymline{\star,+,+,\star,\times,\divideontimes,,\moo,}{5,7,10,12} - -\mksymline{,\cup,,,\cup,\Cup,,\nplus,}{5,7,10,12} - -\mksymline{,\oplus,,,\oplus,\circledast,,\olessthan,\ocircle}{5,7,10,12} - -\mksymline{,\vdash,,,\vdash,\Vdash,,,}{5,7,10,12} - -\mksymline{,=,=,,\equiv,\doteqdot,,,}{5,7,10,12} - -\mksymline{<,\leq,,<,\leq,\leqslant,\sqsubset,\trianglelefteqslant,\apprle}{5,7,10,12} - -\mksymline{\leftharpoondown,\leftarrow,,\leftharpoondown,\leftarrow,\twoheadleftarrow,\leadsto,\leftarrowtriangle,\leadsto}{5,7,10,12} -} -{} - -%%% Local Variables: -%%% mode: latex -%%% fill-column: 120 -%%% TeX-master: "slifontsexample" -%%% End: |