summaryrefslogtreecommitdiff
path: root/info/examples/Math/03-06-6.ltx
diff options
context:
space:
mode:
Diffstat (limited to 'info/examples/Math/03-06-6.ltx')
-rw-r--r--info/examples/Math/03-06-6.ltx58
1 files changed, 58 insertions, 0 deletions
diff --git a/info/examples/Math/03-06-6.ltx b/info/examples/Math/03-06-6.ltx
new file mode 100644
index 0000000000..1ca6d3ac27
--- /dev/null
+++ b/info/examples/Math/03-06-6.ltx
@@ -0,0 +1,58 @@
+%%
+%% Ein Beispiel der DANTE-Edition
+%% Mathematiksatz mit LaTeX
+%% 3. Auflage
+%% Beispiel 03-06-6 auf Seite 32.
+%% 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}
+\usepackage[utf8]{inputenc}
+\usepackage[ngerman]{babel}
+\setcounter{equation}{32}
+\renewcommand\theequation{3.\arabic{equation}}
+\usepackage{amsmath,esint,array,esvect}
+\usepackage{libertinust1math}
+\setlength\parindent{0pt}
+%StartShownPreambleCommands
+\def\Q#1#2{\frac{\uppartial #1}{\uppartial #2}}
+\def\half{\frac{1}{2}}
+\def\vvec#1{\vv{#1}}
+\newcommand*\diff{\mathop{}\!\mathrm{d}}
+\newcommand*\<{\negthickspace}
+\newcommand*\TT{\boldsymbol{\mathsf{T}}}
+\def\DD{\boldsymbol{\mathsf{D}}}
+%StopShownPreambleCommands
+\begin{document}
+%Die Erhaltungssätze für Masse, Drehmoment und Energie können jeweils in differentieller Form
+%oder Integralform geschreiben werden:
+\setlength\jot{15pt}
+\def\QQ#1#2{\frac{\partial^2 #1}{\partial #2^2}}
+\def\ee#1{\vv{e}_{#1}}
+Der $\nabla$-Operator in kartesischen Koordinaten:
+%
+\[
+ \vv{\nabla}=\Q{}{x}\ee{x}+\Q{}{y}\ee{y}+\Q{}{z}\ee{z}~~,~~
+ \mathrm{grad}f=\vv{\nabla}f=\Q{f}{x}\ee{x}+\Q{f}{y}\ee{y}+\Q{f}{z}\ee{z}
+\]
+%
+\[
+ \mathrm{div}~\vv{a}=\vv{\nabla}\cdot\vv{a}=\Q{a_x}{x}+\Q{a_y}{y}+\Q{a_z}{z}~~,~~\nabla^2 f=\QQ{f}{x}+\QQ{f}{y}+\QQ{f}{z}
+\]
+%
+\[
+\mathrm{rot}~\vv{a}=\vv{\nabla}\times\vv{a}=
+ \left(\Q{a_z}{y}-\Q{a_y}{z}\right)\ee{x}+\left(\Q{a_x}{z}-\Q{a_z}{x}\right)\ee{y}+
+ \left(\Q{a_y}{x}-\Q{a_x}{y}\right)\ee{z}
+\]
+\end{document}