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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-12-08 20:15:41 +0100 |
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committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-12-08 20:15:41 +0100 |
commit | 531c564ecc1d73e1ddf25890720212d89f18edc1 (patch) | |
tree | 814df17dd23b969d56f3ae93920166613c3b2b79 /buch/chapters/050-differential/uebungsaufgaben/airy.tex | |
parent | add new section on hypergeometric differential equation (diff) | |
download | SeminarSpezielleFunktionen-531c564ecc1d73e1ddf25890720212d89f18edc1.tar.gz SeminarSpezielleFunktionen-531c564ecc1d73e1ddf25890720212d89f18edc1.zip |
add new stuff about airy and hypergeometric functions
Diffstat (limited to '')
-rw-r--r-- | buch/chapters/050-differential/uebungsaufgaben/airy.tex | 59 |
1 files changed, 59 insertions, 0 deletions
diff --git a/buch/chapters/050-differential/uebungsaufgaben/airy.tex b/buch/chapters/050-differential/uebungsaufgaben/airy.tex new file mode 100644 index 0000000..27ee546 --- /dev/null +++ b/buch/chapters/050-differential/uebungsaufgaben/airy.tex @@ -0,0 +1,59 @@ +% +% tikztemplate.tex -- template for standalon tikz images +% +% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +% +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\begin{document} +\def\skala{1} +\input{airypaths.tex} +\definecolor{darkgreen}{rgb}{0,0.6,0} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +% add image content here +\def\dx{1} +\def\dy{1} + +\begin{scope} +\clip ({-8*\dx},{-1.3*\dy}) rectangle ({2.5*\dx},{4*\dy}); +\draw[color=red,line width=1.4pt] \yonepath; +%\draw[color=darkgreen,line width=1.4pt] \ytwopath; +\draw[color=blue,line width=1.4pt] \ythreepath; +\end{scope} + +\draw[->] (-8.1,0) -- (2.9,0) coordinate[label={$x$}]; +\draw[->] (0,-1.4) -- (0,4.4) coordinate[label={$y$}]; + +\foreach \x in {-8,...,-1}{ + \draw ({\x*\dx},-0.1) -- ({\x*\dx},0.1); +} +\foreach \y in {-1,1,2,3,4}{ + \draw (-0.1,{\y*\dy}) -- (0.1,{\y*\dy}); +} +\draw ({\dx},-0.1) -- ({\dx},0.1); +\draw ({2*\dx},-0.1) -- ({2*\dx},0.1); + +\node at (\dx,0) [below] {$1$}; +\node at ({2*\dx},0) [below] {$2$}; + +\foreach \x in {-7,...,-1}{ + \node at ({\x*\dx},0) [below] {$\x$}; +} +\foreach \y in {2,3,4}{ + \node at (-0.1,{\y*\dy}) [left] {$\y$}; +} +\node at (-0.1,\dy) [above left] {$-1$}; +\node at (0.1,-\dy) [right] {$-1$}; + +\node[color=red] at ({-1.2*\dx},{0.6*\dy}) [above left] {$y_1(x)$}; +\node[color=blue] at ({-1.4*\dx},{-1.1*\dy}) [below] {$y_2(x)$}; + +\end{tikzpicture} +\end{document} + |