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author | Karl Berry <karl@freefriends.org> | 2010-10-12 00:13:11 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2010-10-12 00:13:11 +0000 |
commit | 324e3ca487267e4d60094b29bda9e562fa489803 (patch) | |
tree | dbd69d6b00ea2a4e15e9635522b20b6cb9aeae7b /Master/texmf-dist/doc/latex/math-e/10-01-4.ltxps | |
parent | 308e7e96ccb036e76b8e07e4e980394f50977580 (diff) |
new doc package math-e (11oct10)
git-svn-id: svn://tug.org/texlive/trunk@20062 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/latex/math-e/10-01-4.ltxps')
-rw-r--r-- | Master/texmf-dist/doc/latex/math-e/10-01-4.ltxps | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/math-e/10-01-4.ltxps b/Master/texmf-dist/doc/latex/math-e/10-01-4.ltxps new file mode 100644 index 00000000000..8d462b3bc06 --- /dev/null +++ b/Master/texmf-dist/doc/latex/math-e/10-01-4.ltxps @@ -0,0 +1,48 @@ +%% +%% An UIT Edition example +%% +%% Example 10-01-4 on page 199. +%% +%% Copyright (C) 2010 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{375.57637pt} +\usepackage[utf8]{inputenc} +\AtBeginDocument{\setlength\parindent{0pt}} +\StartShownPreambleCommands +\usepackage{amsmath,amssymb,amsopn,pst-node} +\DeclareMathOperator{\Hom}{Hom} +\DeclareMathOperator{\Mod}{Mod} +\DeclareMathOperator{\obj}{obj} +\StopShownPreambleCommands +\begin{document} +Let $\mathcal{C}:=\mathcal{D}:=\Mod_A$, $M\in + \obj(\Mod_A)$ be fixed, +\begin{align*} + F:=\square\otimes_A M : \Mod_A &\rightarrow \Mod_A, \\ + G:=\Hom_A(M,\square) : \Mod_A &\rightarrow \Mod_A. +\end{align*} +These two functors are adjoint, by +$h(X,Y)(\phi)(x)(m)\rightarrow\phi(x\otimes m)$:\\[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} |