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authorNorbert Preining <norbert@preining.info>2023-08-04 03:01:07 +0000
committerNorbert Preining <norbert@preining.info>2023-08-04 03:01:07 +0000
commit319c90e45fc96ba6f15edcf00b24e484d9d92f2b (patch)
tree7011e82643aff6842597d83574783a350142063c /info/examples/Math/09-19-13.ltx
parent63c1aaa794cb47fe36ebe8010257ec8ad322efbb (diff)
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+%%
+%% Ein Beispiel der DANTE-Edition
+%% Mathematiksatz mit LaTeX
+%% 3. Auflage
+%% Beispiel 09-19-13 auf Seite 200.
+%% Copyright (C) 2018 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[10pt]{screxa}
+\pagestyle{empty}
+\setlength\textwidth{352.81416pt}
+\AtBeginDocument{\setlength\parindent{0pt}}
+%StartShownPreambleCommands
+\usepackage{mathtools,esint} \newcommand*\diff{\mathop{}\!\mathrm{d}}
+%StopShownPreambleCommands
+\begin{document}
+\begin{align*}
+\iiint\limits_Rf(x,y,z)\diff R
+ &=\int\limits_{z_1}^{z_2}
+ \int\limits_{\varphi_1(z)}^{\varphi_2(z)}
+ \int\limits_{r_1(\varphi,z)}^{r_2(\varphi,z)}F(r,\varphi,z)r\diff r\diff\varphi\diff z\\
+%\ArrowBetweenLines[\Downarrow]% linke Seite
+\ArrowBetweenLines* % rechte Seite (\Updownarrow ist der Standard)
+ &=\int\limits_{\varphi_1(z)}^{\varphi_2(z)}
+ \int\limits_{\vartheta_1(\varphi)}^{\vartheta_2(\varphi)}
+ \int\limits_{r_1(\vartheta,\varphi)}^{r_2(\vartheta,\varphi)}
+ F(r,\vartheta,\varphi)r^2\sin\vartheta\diff r\,r\diff\vartheta\diff\varphi
+\end{align*}
+\end{document}