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diff --git a/Master/texmf-dist/doc/latex/einfuehrung/10-08-7.ltx2 b/Master/texmf-dist/doc/latex/einfuehrung/10-08-7.ltx2 new file mode 100644 index 00000000000..4fad677bf08 --- /dev/null +++ b/Master/texmf-dist/doc/latex/einfuehrung/10-08-7.ltx2 @@ -0,0 +1,60 @@ +%% +%% Ein Beispiel der DANTE-Edition +%% +%% Beispiel 10-08-7 auf Seite 556. +%% +%% 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. +%% +%% +%% ==makeglossaries== +% Show page(s) 1,2 +%% +\documentclass[ngerman,paper=a6,DIV=16,pagesize]{screxa} +\pagestyle{empty} +\setlength\parindent{0pt} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{microtype} +\usepackage{babel} +\usepackage{amsmath} \allowdisplaybreaks +\makeatletter\@addtoreset{equation}{section}\makeatother +\newcommand\erf{\operatorname{erf}} +\newcommand\erfc{\operatorname{erfc}} +\newcommand\dt{\,\mathrm{d}t} + +\usepackage[colorlinks]{hyperref} +\usepackage[style=long3colheader,counter=equation]{glossaries} \makeglossaries +\loadglsentries{data/verzeichnisse/glossdata3.txt} +\renewcommand\entryname{Funktion}\renewcommand\descriptionname{Beschreibung} +\renewcommand\pagelistname{Gl.}\renewcommand*\theHequation{\theHsection.\arabic{equation}} +\renewcommand\theequation{\thesection.\arabic{equation}} + +\begin{document} +\printglossary[title={Index der mathematischen Gleichungen}] +\section{Gammafunktionen} +\begin{equation}\gls{Gamma}=\int_{0}^{\infty}e^{-t}t^{z-1}\dt\end{equation} +\begin{equation}\glslink{Gamma}{\ensuremath{\Gamma(x+1)}}=x\Gamma(x)\end{equation} +\begin{equation}\gls{gamma}=\int_0^x e^{-t}t^{\alpha-1}\dt\end{equation} +\begin{equation}\gls{iGamma}=\int_x^\infty e^{-t}t^{\alpha-1}\dt\end{equation} +\section{Fehlerfunktionen} +\begin{equation}\gls{erf}=\frac{2}{\surd\pi}\int_0^x e^{-t^2}\dt\end{equation} +\begin{equation}\gls{erfc}=1 - \erf(x)\end{equation} +\section{Betafunktionen} +\begin{equation}\gls{B}=2\int_0^1 t^{x-1}(1-t^2)^{y-1}\dt\end{equation} +\begin{equation}\gls{B}=2\int_0^{\frac\pi2}\sin^{2x-1}\phi\cos^{2y-1}\phi\mathrm{d}\phi +\end{equation} +\begin{equation}\gls{B}=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}=B(y,x)\end{equation} +\begin{equation}\gls{Bx}=\int_0^x t^{p-1}(1-t)^{q-1}\dt\end{equation} +\section{Hypergeometrische Funktionen} +\begin{align} \gls{Phi} &= 1 + \frac{\alpha}{\gamma}\,\frac{z}{1!} + +\frac{\alpha(\alpha+1)}{\gamma(\gamma+1)}\,\frac{z^2}{2!} + +\frac{\alpha(\alpha+1)(\alpha+2)}{\gamma(\gamma+1)(\gamma+2)}\\\nonumber + &\,\frac{z^3}{3!} + \cdots +\end{align} +\end{document} |