blob: 120f8b2de63b5550a3d0d360a6319e0ca1f5c1df (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
|
%%
%% Ein Beispiel der DANTE-Edition
%%
%% 1. Auflage
%%
%% 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}
\StartShownPreambleCommands
\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}}
\StopShownPreambleCommands
\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}
|