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diff --git a/info/examples/Math/10-01-4.ltxps b/info/examples/Math/10-01-4.ltxps new file mode 100644 index 0000000000..1425f4ff34 --- /dev/null +++ b/info/examples/Math/10-01-4.ltxps @@ -0,0 +1,48 @@ +%% +%% Ein Beispiel der DANTE-Edition +%% Mathematiksatz mit LaTeX +%% 2. Auflage +%% +%% Beispiel 10-01-4 auf Seite 213. +%% +%% Copyright (C) 2012 Herbert Voss +%% +%% It may be distributed and/or modified under the conditions +%% of the LaTeX Project Public License, either version 1.3 +%% of this license or (at your option) any later version. +%% +%% See http://www.latex-project.org/lppl.txt for details. +%% +%% +%% ==== +% Show page(s) 1 +%% +%% +\documentclass[]{exaarticle} +\pagestyle{empty} +\setlength\textwidth{352.81416pt} +\usepackage[utf8]{inputenc} +\AtBeginDocument{\setlength\parindent{0pt}} +\StartShownPreambleCommands +\usepackage{amsmath,amssymb,pst-node} \DeclareMathOperator{\Hom}{Hom} +\DeclareMathOperator{\Mod}{Mod} \DeclareMathOperator{\obj}{obj} +\StopShownPreambleCommands +\begin{document} +Seien $\mathcal{C}:=\mathcal{D}:=\Mod_A$, $M\in \obj(\Mod_A)$ fixiert, +\begin{align*} + F:=\square\otimes_A M : \Mod_A &\rightarrow \Mod_A, \\ + G:=\Hom_A(M,\square) : \Mod_A &\rightarrow \Mod_A. +\end{align*} +Diese beiden Funktoren sind adjungiert, mittels +$h(X,Y)(\phi)(x)(m)\rightarrow\phi(x\otimes m)$:\\[10pt] +$\begin{psmatrix}[colsep=-0.3cm, rowsep=0pt] + \quad\phi{\;} & & {\;} h(X,Y)(\phi)\quad\\ + \Hom_A(M \otimes_A X, Y) & & \Hom_A(X, \Hom_A(M, Y)) \\[1.5cm] + & L_A^2(M, X; Y) +\end{psmatrix}$ +\ncline{|->}{1,1}{1,3} +\ncline[doubleline=true]{2,1}{2,3}\nbput{h(X,Y)} +\naput[nrot=:U,labelsep=0pt]{$\sim$} +\ncline[doubleline=true]{2,1}{3,2}\naput[nrot=:U,labelsep=0pt]{$\sim$} +\ncline[doubleline=true]{3,2}{2,3}\naput[nrot=:U,labelsep=0pt]{$\sim$} +\end{document} |