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Diffstat (limited to 'info/examples/Math/10-05-2.ltx')
-rw-r--r-- | info/examples/Math/10-05-2.ltx | 28 |
1 files changed, 12 insertions, 16 deletions
diff --git a/info/examples/Math/10-05-2.ltx b/info/examples/Math/10-05-2.ltx index e30977669e..6aeb106804 100644 --- a/info/examples/Math/10-05-2.ltx +++ b/info/examples/Math/10-05-2.ltx @@ -1,37 +1,33 @@ %% %% Ein Beispiel der DANTE-Edition %% Mathematiksatz mit LaTeX -%% 2. Auflage -%% -%% Beispiel 10-05-2 auf Seite 222. -%% -%% Copyright (C) 2012 Herbert Voss +%% 3. Auflage +%% Beispiel 10-05-2 auf Seite 221. +%% 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[]{exaarticle} +\documentclass[10pt]{screxa} \pagestyle{empty} \setlength\textwidth{352.81416pt} \AtBeginDocument{\setlength\parindent{0pt}} -\StartShownPreambleCommands -\usepackage{amsmath,esint} \newcommand*\diff{\mathop{}\!\mathrm{d}} -\StopShownPreambleCommands +%StartShownPreambleCommands +\usepackage{amsmath,esint,libertinust1math} \newcommand*\diff{\mathop{}\!\mathrm{d}} +%StopShownPreambleCommands \begin{document} \begin{align*} -\biggl(\int_{-\infty}^\infty e^{-x^2}\,dx\biggr)^2 - &= \int_{-\infty}^\infty\int_{-\infty}^\infty e^{-(x^2+y^2)}\diff x\diff y \\ - &= \int_0^{2\pi}\int_0^\infty e^{-r^2}r\diff r\diff\theta \\ - &= \int_0^{2\pi}\biggl(-{e^{-r^2}\over2} +\biggl(\int_{-\infty}^{\infty} e^{-x^2}\diff x\biggr)^2 + &= \int_{-\infty}^{\infty}\int_{-\infty}^\infty e^{-(x^2+y^2)}\diff x\diff y \\ + &= \int_0^{2\uppi}\int_0^{\infty} e^{-r^2}r\diff r\diff\theta \\ + &= \int_0^{2\uppi}\biggl(-{e^{-r^2}\over2} \bigg\vert_{r=0}^{r=\infty}\,\biggr)\diff\theta\\ - &= \pi \tag*{q.e.d.} + &= \uppi \tag*{q.e.d.} \end{align*} \end{document} |