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diff --git a/Master/texmf-dist/doc/latex/texpower/tpslifonts/slifontsexample.tex b/Master/texmf-dist/doc/latex/texpower/tpslifonts/slifontsexample.tex new file mode 100644 index 00000000000..7b921489431 --- /dev/null +++ b/Master/texmf-dist/doc/latex/texpower/tpslifonts/slifontsexample.tex @@ -0,0 +1,1600 @@ +%----------------------------------------------------------------------------------------------------------------- +% File: slifontsexample.tex +% +% Example for the package tpslifonts.sty. +% +% This file can be compiled with pdfLaTeX or (standard) LaTeX. When using standard LaTeX, the dvi file produced should +% be converted to pdf afterwards (using dvips+distill/ps2pdf or dvipdf, for instance). +% +% The resulting pdf file is meant for presenting `interactively' with Adobe Acrobat Reader. +% +%----------------------------------------------------------------------------------------------------------------- +% 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). +% +% v0.3 Mar 28, 2003: Adapted to tpslifonts v0.5 (added support for T1 encoding). +% +% v0.4 May 28, 2003: Adapted to tpslifonts v0.6. +% +%----------------------------------------------------------------------------------------------------------------- +% Please go to USER CONFIGURATION AREA below to find configuration options for experimenting with font settings. +%----------------------------------------------------------------------------------------------------------------- + +\newif\ifTPaware +\IfFileExists{texpower.sty}{\TPawaretrue}{\TPawarefalse} + +\ifTPaware +\documentclass[letterpaper,landscape,KOMA,smallheadings,calcdimensions,display]{powersem} +%----------------------------------------------------------------------------------------------------------------- +% Set slide margins rather small for maximum use of space. This is a demo, remember. +\renewcommand{\slidetopmargin}{5mm} +\renewcommand{\slidebottommargin}{5mm} +\renewcommand{\slideleftmargin}{5mm} +\renewcommand{\sliderightmargin}{5mm} +%----------------------------------------------------------------------------------------------------------------- +% Some setup for more reasonable spacing. +\makeatletter +\renewcommand\section{\@startsection{section}{1}{\z@}% + {-1.5ex\@plus -1ex \@minus -.5ex}% + {.5ex \@plus .2ex}% + {\raggedsection\normalfont\size@section\sectfont}} +\renewcommand\subsection{\@startsection{subsection}{2}{\z@}% + {-1.25ex\@plus -1ex \@minus -.2ex}% + {.5ex \@plus .2ex}% + {\raggedsection\normalfont\size@subsection\sectfont}} +\def\slideitemsep{.5ex plus .3ex minus .2ex} +\makeatother +%----------------------------------------------------------------------------------------------------------------- +% We need some more packages... +\usepackage{url} +\usepackage[latin1]{inputenc} +% One more Text emphasis command... +\let\name=\textsc +\else % NOT TPaware +% Make a `poor man's presentation mode. +\documentclass{article} +\setlength{\paperwidth}{13cm} +\setlength{\paperheight}{10cm} +\usepackage[left=3mm,right=3mm,top=3mm,bottom=3mm]{geometry} +\setlength{\parindent}{0pt} +\setlength{\parskip}{1ex plus .5ex minus .5ex} +\linespread{1.3} +\usepackage{url} +\usepackage{calc} +\raggedbottom +\fi % END TPaware + +%================================================================================================================= +% begin USER CONFIGURATION AREA. +% In the following, you can configure this demo by changing settings made below (until the ``end USER CONFIGURATION +% AREA mark). +% Note in particular the part below labelled ``Configuration scenarios''. +%================================================================================================================= + +%----------------------------------------------------------------------------------------------------------------- +% Packages and Preamble settings individual for this example. + +% We use a lot of fonts for demonstration. You can comment out any of the following \usepackage calls to emulate your +% own working environment. Note, however, that some of the examples will vanish then because of lacking commands. + +\usepackage{amssymb} +\usepackage{latexsym} +\usepackage{wasysym} +\usepackage{stmaryrd} +\usepackage{mathrsfs} +\usepackage{dsfont} + +\usepackage[override]{cmtt} + +% Make nested braces grow. +\delimitershortfall-1sp\relax + +% The following packages are needed only for the examples. If you're lacking any of them, just comment out the +% \usepackage call. Note, however, that some of the examples will vanish then because of lacking commands. + +% Both amsmath and wasysym insist on defining \iint and \iiint. +\makeatletter\let\iint\@undefined\let\iiint\@undefined\makeatother +\usepackage[leqno]{amsmath} + +\usepackage{amscd} + +\usepackage{array} + +\IfFileExists{easymat.sty}{\usepackage{easymat}} + +%----------------------------------------------------------------------------------------------------------------- +% TeXPower configuration. + +\PassOptionsToPackage{lightbackground,colorhighlight}{texpower} + +% Comment out to avoid coloring math formulae. +\PassOptionsToPackage{colormath}{texpower} + +\usepackage{ifthen}[2001/05/26] + +%----------------------------------------------------------------------------------------------------------------- +% Configuration scenarios + +% In the following, we give several `configuration scenarios' for presentation font selection with tpslifonts. Each +% hopefully represents a nice and readable selection of tpslifonts options and parameters. For some scenarios, you might +% need to have some Type1 fonts installed which are not part of every TeX distribution, otherwise bitmap versions will +% be used which look `blurred' in acroread. +% Of course taste varies, so after testing each scenario in turn and making yourself acquainted with the possibilities, +% you might start experimenting further by removing some options or parameters from a scenario or by adding parameters +% used in other scenarios. +% For selecting a scenario, just uncomment its code lines. Remember to comment out all other scenarios, otherwise there +% might be conflicts. + +% Configuration scenario 1: +% Slifonts with cm italic math. +% ----------------------------- +% This is a `standard' setting. The text fonts come from the lcmss family, Typewriter from cmtt and math from cmmi. Size +% differences are remedied by using `scaleup' options. The `textops' option causes operator names and digits to be taken +% from the text font lcmss. The `scale7pt' will hopefully make math look a little `bolder'. +% Type 1 versions of all fonts used by this scenario (apart from certain math fonts like dsrom) should be part of every +% moderately modern TeX distribution. + +% \PassOptionsToPackage{scaleupmath,scaleuptt,textops,scale7pt}{tpslifonts} + +% If you find the typewriter characters to be too `bold', try uncommenting the following line: + +% \def\TPSFttscale{1.13} + + +% Configuration scenario 2: +% Slifonts with euler math. +% ------------------------- +% Combining lcmss with euler math might look strange at first, but the euler math fonts are definitely extremely well +% readable on screen. The text fonts come from the lcmss family, Typewriter from cmtt and math from euler roman. Size +% differences are remedied by using `scaleup' options. +% Type 1 versions of all fonts used by this scenario (apart from certain math fonts like dsrom) should be part of every +% moderately modern TeX distribution. + +% \PassOptionsToPackage{eulermath,scaleupmath,scaleuptt}{tpslifonts} + +% If you uncomment the following option, digits are also taken from Euler math. + +% \PassOptionsToPackage{eulerdigits}{tpslifonts} + +% If you find the typewriter characters to be too `bold', try uncommenting the following line: + +% \def\TPSFttscale{1.13} + +% Configuration scenario 3: +% Slifonts with cmbright math. +% ---------------------------- +% The cmbright family is the only existing source for a complete set of sans serif math fonts which fit the computer +% modern grand family. Although being slightly different from cmss, it fits well with lcmss . The text fonts come from +% the lcmss family, Typewriter from cmtt and math from cm bright. Size differences are remedied by using `scaleup' +% options. The `textops' option causes operator names and digits to be taken from the text font lcmss. +% Even with a modern TeX distribution, you might need to install Type1 versions of the cmbright fonts, for instance from +% the ``hfbright'' bundle by Harald Harders. + +% \PassOptionsToPackage{cmbrightmath,scaleupmath,scaleuptt,textops}{tpslifonts} + +% If you find the typewriter characters to be too `bold', try uncommenting the following line: + +% \def\TPSFttscale{1.1} + +% Configuration scenario 4: +% cmss fonts with cm italic math. +% ------------------------------- +% The text fonts come from the cmss family, Typewriter from cmtt and math from cmmi. The `textops' option causes +% operator names and digits to be taken from the text font cmss. The `scale7pt' option makes characters look a little +% `bolder', enhancing readability. +% Type 1 versions of all fonts used by this scenario (apart from certain math fonts like dsrom) should be part of every +% moderately modern TeX distribution. + +% \PassOptionsToPackage{cmss,textops,scale7pt}{tpslifonts} + +% Configuration scenario 5: +% cmss fonts with euler math. +% --------------------------- +% Combining cmss with euler math might look strange at first, but the euler math fonts are definitely extremely well +% readable on screen. The text fonts come from the cmss family, Typewriter from cmtt and math from euler roman. +% Type 1 versions of all fonts used by this scenario (apart from certain math fonts like dsrom) should be part of every +% moderately modern TeX distribution. + +% \PassOptionsToPackage{cmss,eulermath}{tpslifonts} + +% If you uncomment the following option, digits are also taken from Euler math. + +% \PassOptionsToPackage{eulerdigits}{tpslifonts} + +% Configuration scenario 6: +% cmss fonts with cmbright math. +% ------------------------------ +% The cmbright family is the only existing source for a complete set of sans serif math fonts which fit the computer +% modern grand family. Although being slightly different from cmss, it fits well with cmss. The text fonts come from +% the cmss family, Typewriter from cmtt and math from cm bright. The `textops' option causes operator names and digits +% to be taken from the text font cmss. +% Even with a modern TeX distribution, you might need to install Type1 versions of the cmbright fonts, for instance from +% the ``hfbright'' bundle by Harald Harders. + +% \PassOptionsToPackage{cmss,cmbrightmath,textops}{tpslifonts} + +% Configuration scenario 7: +% cmr fonts. +% ------------------------- +% In this case, all fonts are the TeX standard computer modern roman. The text fonts come from the cmr family, +% Typewriter from cmtt and math from cmmi. The `scale7pt' option makes characters look a little `bolder', enhancing +% readability. +% Type 1 versions of all fonts used by this scenario (apart from certain math fonts like dsrom) should be part of every +% moderately modern TeX distribution. + +\PassOptionsToPackage{cmr,scale7pt}{tpslifonts} + +% Configuration scenario 8: +% cmbright fonts. +% ------------------------- +% In this case, all fonts are taken from the cmbright family. The text fonts come from the cmbr family, +% Typewriter from cmtl and math from cmbrm. +% Even with a modern TeX distribution, you might need to install Type1 versions of the cmbright fonts, for instance from +% the ``hfbright'' bundle by Harald Harders. + +% \PassOptionsToPackage{cmbright,cmbrightmath}{tpslifonts} + +% Configuration scenario 9: +% concrete fonts with Euler math. +% ------------------------------- +% In this case, text fonts are taken from the concrete family. The text fonts come from the ccr family, +% Typewriter from cmtt and math from Euler. +% Unfortunately, it seems there are no Type1 versions of OT1 encoded ccr fonts. Hence, to use this setup (at this +% moment) it is neccessary to select T1 fontencoding (see below) and install some Type1 collection of ``ec'' fonts like +% the cm-super fonts. Even then, there's no Type1 version of ccm math fonts, so for this scenario, (the matching) Euler +% math fonts are selected. + +% \PassOptionsToPackage{concrete,eulermath}{tpslifonts} + +% With this scenario, T1 fontencoding is neccessary because (to the authors knowledge) there exists no OT1 encoded Type1 +% version of ccr. + +% \usepackage[T1]{fontenc} + +%----------------------------------------------------------------------------------------------------------------- +% Other tpslifonts settings. + +% Use T1 font encoding. This will lead to using EC fonts instead of CM. + +\usepackage[T1]{fontenc} + +% tpslifonts allows to define independent scaling factors for different groups of fonts. Selecting one of the +% scaleup... options will define a default value supposed to match ``SliTeX'' fonts, but you can set any scaling factor +% by just defining (any of) the respective macros: + +% Typewriter fonts. + +% \def\TPSFttscale{1.1} + +% Math fonts related to cm math. + +% \def\TPSFmathscale{1.1} + +% Euler math fonts. + +% \def\TPSFeulerscale{1.05} + +% cmbright math fonts. + +% \def\TPSFcmbrscale{1.05} + + +%================================================================================================================= +% end USER CONFIGURATION AREA. +%================================================================================================================= + + +\RequirePackage{tpslifonts} + +\makeatletter +\ifTPaware +%----------------------------------------------------------------------------------------------------------------- +% We load hyperref and fixseminar which fixes some problems with seminar. +\usepackage[plainpages=false,bookmarksopen,colorlinks,urlcolor=red,pdfpagemode=FullScreen]{hyperref} +\usepackage{fixseminar} +%----------------------------------------------------------------------------------------------------------------- +% Finally, the texpower package is loaded. +\usepackage{texpower} +%----------------------------------------------------------------------------------------------------------------- +% Some more parameters... +\slidesmag{5} +\slideframe{none} +\pagestyle{empty} +\setcounter{tocdepth}{2} +\renewcommand{\currentpagevalue}{\value{slide}} +%----------------------------------------------------------------------------------------------------------------- +% The following command produces a title page for every example and documentation file. +\newcommand{\makeslidetitle}[1] +{% + \title{The \TeX Power bundle\\[2ex]{\normalfont #1}} + \author + {% + Stephan Lehmke\\ + \mdseries + University of Dortmund\\ + \mdseries + Department of Computer Science I\\ + \url{mailto:Stephan.Lehmke@udo.edu}% + } + {\centerslidestrue + \maketitle + \newslide} + \setcounter{firststep}{1}% This way, the first step of all examples is displayed. +} +\hypersetup{pdftitle={texpower tpslifonts example}} +\slidesmag{4} +\else % NOT TPaware +% Load everything manually. +\pagestyle{empty} +\newcommand{\makeslidetitle}[1] +{% + \begin{center} + {\leavevmode\Large\sffamily + + \vspace*{\fill} + + \textbf{The \TeX Power bundle\\{\normalfont #1}} + \par} + + \vspace*{\fill} + + Stephan Lehmke\\ + University of Dortmund\\ + Department of Computer Science I\\ + \url{mailto:Stephan.Lehmke@udo.edu}% + + \vspace*{\fill} + \today + + \vspace*{\fill} + + \vspace*{\fill} + \end{center} + \newpage +} + +\renewcommand\section{\@startsection{section}{1}{\z@}% + {-1.5ex\@plus -1ex \@minus -.5ex}% + {.5ex \@plus .2ex}% + {\normalfont\large\sffamily\bfseries}} + +\let\code\texttt +\let\concept\textbf +\let\underl\textbf +\let\name\textsc +\newcommand{\macroname}[1]{\code{\textbackslash##1}} + +\newenvironment{slide}{\raggedright}{} + +\newenvironment{presentbox}{\par\begin{minipage}[t]{\linewidth}}{\end{minipage}\par} + +\let\present=\fbox +\fi % END TPaware + +\newboolean{TPSFamsfonts} +\@ifpackageloaded{amsfonts}{\setboolean{TPSFamsfonts}{true}}{} +\newboolean{TPSFlasy} +\@ifpackageloaded{latexsym}{\setboolean{TPSFlasy}{true}}{} +\newboolean{TPSFwasysym} +\@ifpackageloaded{wasysym}{\setboolean{TPSFwasysym}{true}}{} +\newboolean{TPSFstmaryrd} +\@ifpackageloaded{stmaryrd}{\setboolean{TPSFstmaryrd}{true}}{} +\newboolean{TPSFrsfs} +\@ifpackageloaded{mathrsfs}{\setboolean{TPSFrsfs}{true}}{} +\newboolean{TPSFdstroke} +\@ifpackageloaded{dsfont}{\setboolean{TPSFdstroke}{true}}{} +\makeatother + + +%----------------------------------------------------------------------------------------------------------------- +% Finally, everything is set up. Here we go... +% +\begin{document} +\begin{slide} +% +%----------------------------------------------------------------------------------------------------------------- +% +% Body of slifonts example. +% + +\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 are 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} +} +{} + +\end{slide} +\end{document} |