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diff --git a/Master/texmf-dist/doc/latex/texpower/mathexample.tex b/Master/texmf-dist/doc/latex/texpower/mathexample.tex new file mode 100644 index 00000000000..64a54d2d0a7 --- /dev/null +++ b/Master/texmf-dist/doc/latex/texpower/mathexample.tex @@ -0,0 +1,246 @@ +%% +%% This is file `mathexample.tex', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% texpower-doc.dtx (with options: `mathexample,mathexample-src,end') +%% +%% -------------------------------------------------------------- +%% TeXPower bundle - dynamic online presentations with LaTeX +%% Copyright (C) 1999-2004 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. +%% -------------------------------------------------------------- +%% +%% The list of all files belonging to the TeXPower bundle is +%% given in the file `00readme.txt'. +%% +\ProvidesFile{mathexample.tex}% + [2004/07/27 TeXPower example file] +%----------------------------------------------------------------------------------------------------------------- +% File: mathexample.tex +% +% Math example for the package texpower.sty. +% +% This file can be compiled with pdfLaTeX or (standard) LaTeX. When using standard LaTeX, the dvi file produced should +% be processed with +% +% dvips -Ppdf -j0 mathexample +% +% afterwards processing the resulting ps file with +% +% distill mathexample.ps +% +% (The syntax is for a unix system with tetex 1.0 and distiller 3. Modify appropriately for other configurations.) +% +% The resulting pdf file is meant for presenting `interactively' with Adobe Acrobat Reader. +% +%----------------------------------------------------------------------------------------------------------------- +% Autor: Stephan Lehmke <Stephan.Lehmke@cs.uni-dortmund.de> +% +% v0.0.1 Mar 20, 2000: First version for the pre-alpha release of TeXPower. +% +% v0.0.2 Apr 19, 2000: Using \bstep instead of \boxedsteps. +% +% v0.0.3 Apr 27, 2000: Some small changes in preparation of the update to TeXpower v0.0.7. +% +% v0.0.4 May 24, 2000: texpower 0.0.8 now supports equation numbers in the argument of \stepwise, so align* was +% changed to align. +% + + + +%----------------------------------------------------------------------------------------------------------------- +% Enable all color emphasis and highlighting options. Use white background and slifonts. + +\PassOptionsToPackage{coloremph,colormath,colorhighlight,whitebackground}{texpower} + +% Input the generic preamble. + +\input{__TPpreamble} + +\usepackage{tpslifonts} + +\hypersetup{pdftitle={texpower math example}} + + +%----------------------------------------------------------------------------------------------------------------- +% Packages and Preamble settings individual for this example. + +% We write some aligned equations. + +\usepackage{amsmath} +% Make nested braces grow. +\delimitershortfall-1sp + +%----------------------------------------------------------------------------------------------------------------- +% Finally, everything is set up. Here we go... +% +\begin{document} +\begin{slide} +%----------------------------------------------------------------------------------------------------------------- +% +\makeslidetitle{\macroname{stepwise} Example: An Aligned Equation}\label{Sec:ExEq} +% In the following, an aligned system of equations is built incrementally. We use the custom command \liststepwise to +% avoid glitches in vertical spacing. +% +\liststepwise% +{% + % + % This is just for compressing the equations so they can be squeezed on one slide. + % + \fontsize{7.8pt}{9pt}\selectfont + \renewcommand{\arraystretch}{0}% + \setlength{\arraycolsep}{0pt}% + \setlength{\abovedisplayskip}{0pt}% + \setlength{\belowdisplayskip}{0pt}% + % + % \highlightboxed will be used for underlaying some formulas with color. To minimize overlap, the width of the outer + % frame is reduced. + \setlength{\highlightboxsep}{1pt}% + % + \begin{align} + \lefteqn + {% + \min + \left( + % The nested braces are filled `from outer to inner'. This means nesting a lot of steps inside each other... + % The outermost brace is displayed from the outset. + % The first step (which follows right here) displays the next inner brace (the first argument of \min), filled + % with an almost `empty' array (apart from one comma and some dots). + % \bstep is used to get appropriate white space when the step is not yet active. + \bstep + {\max + \left( + \begin{array}{l} + % The next two steps fill in the lines of the array. + \bstep{\min\left(F'(x),\min\left(F_1(x),G_1(y)\right)\right)},\\[-2ex] + \vdots\\ + \bstep{\min\left(F'(x),\min\left(F_n(x),G_n(y)\right)\right)} + \end{array} + \right) + }, + % After the first brace is filled, the next step provides the second argument of \min. + \bstep{\min\left(G_i(y),H_i(z)\right)} + \right) + } + & + % The next couple of steps will create the remaining lines of the aligned equations. These need to be + % insubstantial (as is the default for \liststepwise), because & can't go in a box. + % As a consequence, the horizontal alignment cannot kick in until the last step is performed. This would make the + % alignment `flicker' sidewise. + % So we have to bite the bullet and duplicate the widest entry here (invisibly), so that the horizontal alignment + % is constant during all steps. *sigh* + \phantom + {% + {}= + \min + \left( + F'(x), + \min + \left( + \max + \left( + \begin{array}{l} + \min\left(F_1(x),\min\left(G_1(y),G_i(y)\right)\right),\\[-1.5ex] + \vdots\\[-.5ex] + \min\left(F_n(x),\min\left(G_n(y),G_i(y)\right)\right) + \end{array} + \right), + H_i(z) + \right) + \right) + } + % The next step displays two lines at a time, but incompletely, i.e. some parts are missing (which are inside + % nested calls of \bstep). + % This way, it is demonstrated how the arguments of the nested \min's are reordered. + \step + {% + \\ + &= + \max + \left( + % The macro \activatestep is used by \stepwise to `wrap' the argument of a \bstep command at the _first_ time + % it appears. + % Usually, it does nothing. Now, we redefine it to highlight its background, so it is easier to spot the + % places where the additional arguments were inserted. + \let\activatestep\highlightboxed + \begin{array}{l} + \min + \left( + % The inner \bstep's display the missing arguments, which are completely identical in both lines. + % It is intended that all the missing arguments appear at the same time, so \rebstep is used for the + % remaining arguments which have been left out. + \min\left(\bstep{F'(x)},\min\left(\rebstep{F_1(x),G_1(y)}\right)\right),\min\left(G_i(y),H_i(z)\right) + \right),\\[-2ex] + \vdots\\[-1ex] + \min + \left( + \min\left(\rebstep{F'(x)},\min\left(\rebstep{F_n(x),G_n(y)}\right)\right),\min\left(G_i(y),H_i(z)\right) + \right) + \end{array} + \right) + \\ + &= + \max + \left( + \let\activatestep\highlightboxed + \begin{array}{l} + \min + \left( + \min\left( + % Here are the remaining arguments of \min which are all to be displayed in one step (together with + % those from the previous line). + \rebstep{F'(x)},\min\left(\rebstep{F_1(x)},\min\left(\rebstep{G_1(y)},G_i(y)\right)\right) + \right), + H_i(z) + \right),\\[-2.5ex] + \vdots\\[-1.5ex] + \min + \left( + \min\left( + \rebstep{F'(x)},\min\left(\rebstep{F_n(x)},\min\left(\rebstep{G_n(y)},G_i(y)\right)\right) + \right), + H_i(z) + \right) + \end{array} + \right) + } + \step + {% + \\ + &= + \min + \left( + F'(x), + \min + \left( + \max + \left( + \begin{array}{l} + \min\left(F_1(x),\min\left(G_1(y),G_i(y)\right)\right),\\[-1.5ex] + \vdots\\[-.5ex] + \min\left(F_n(x),\min\left(G_n(y),G_i(y)\right)\right) + \end{array} + \right), + H_i(z) + \right) + \right) + } + \end{align} + }% + \newslide +\end{slide} +\end{document} +\endinput +%% +%% End of file `mathexample.tex'. |