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-rw-r--r-- | buch/chapters/040-rekursion/images/0f1.tex | 86 |
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diff --git a/buch/chapters/040-rekursion/images/0f1.tex b/buch/chapters/040-rekursion/images/0f1.tex new file mode 100644 index 0000000..1bc8b87 --- /dev/null +++ b/buch/chapters/040-rekursion/images/0f1.tex @@ -0,0 +1,86 @@ +% +% 0f1.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{0f1data.tex} +\definecolor{darkgreen}{rgb}{0,0.6,0} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\begin{scope} +\clip (\xmin,-1) rectangle (\xmax,5); +\draw[color=blue!5!red,line width=1.4pt] \kurveone; +\draw[color=blue!16!red,line width=1.4pt] \kurvetwo; +\draw[color=blue!26!red,line width=1.4pt] \kurvethree; +\draw[color=blue!37!red,line width=1.4pt] \kurvefour; +\draw[color=blue!47!red,line width=1.4pt] \kurvefive; +\draw[color=blue!57!red,line width=1.4pt] \kurvesix; +\draw[color=blue!68!red,line width=1.4pt] \kurveseven; +\draw[color=blue!78!red,line width=1.4pt] \kurveeight; +\draw[color=blue!89!red,line width=1.4pt] \kurvenine; +\draw[color=blue!100!red,line width=1.4pt] \kurveten; +\def\ds{0.4} +\begin{scope}[yshift=0.5cm] +\node[color=blue!5!red] at (\xmin,{1*\ds}) [right] {$\alpha=0.5$}; +\node[color=blue!16!red] at (\xmin,{2*\ds}) [right] {$\alpha=1.5$}; +\node[color=blue!26!red] at (\xmin,{3*\ds}) [right] {$\alpha=2.5$}; +\node[color=blue!37!red] at (\xmin,{4*\ds}) [right] {$\alpha=2.5$}; +\node[color=blue!47!red] at (\xmin,{5*\ds}) [right] {$\alpha=3.5$}; +\node[color=blue!57!red] at (\xmin,{6*\ds}) [right] {$\alpha=5.5$}; +\node[color=blue!68!red] at (\xmin,{7*\ds}) [right] {$\alpha=6.5$}; +\node[color=blue!78!red] at (\xmin,{8*\ds}) [right] {$\alpha=7.5$}; +\node[color=blue!89!red] at (\xmin,{9*\ds}) [right] {$\alpha=8.5$}; +\node[color=blue!100!red]at (\xmin,{10*\ds}) [right] {$\alpha=9.5$}; +\end{scope} +\node at (-1.7,4.5) {$\displaystyle +y=\mathstrut_0F_1\biggl(\begin{matrix}\text{---}\\\alpha\end{matrix};x\biggr)$}; +\end{scope} + +\draw[->] (\xmin-0.2,0) -- (\xmax+0.3,0) coordinate[label=$x$]; +\draw[->] (0,-0.5) -- (0,5.3) coordinate[label={right:$y$}]; + +\begin{scope}[yshift=-6.5cm] +\begin{scope} +\clip (\xmin,-5) rectangle (\xmax,5); + +\draw[color=darkgreen!5!red,line width=1.4pt] \kurvenone; +\draw[color=darkgreen!16!red,line width=1.4pt] \kurventwo; +\draw[color=darkgreen!26!red,line width=1.4pt] \kurventhree; +\draw[color=darkgreen!37!red,line width=1.4pt] \kurvenfour; +\draw[color=darkgreen!47!red,line width=1.4pt] \kurvenfive; +\draw[color=darkgreen!57!red,line width=1.4pt] \kurvensix; +\draw[color=darkgreen!68!red,line width=1.4pt] \kurvenseven; +\draw[color=darkgreen!78!red,line width=1.4pt] \kurveneight; +\draw[color=darkgreen!89!red,line width=1.4pt] \kurvennine; +\draw[color=darkgreen!100!red,line width=1.4pt] \kurventen; +\end{scope} + +\draw[->] (\xmin-0.2,0) -- (\xmax+0.3,0) coordinate[label=$x$]; +\draw[->] (0,-5.2) -- (0,5.3) coordinate[label={right:$y$}]; +\def\ds{-0.4} +\begin{scope}[yshift=-0.5cm] +\node[color=darkgreen!5!red] at (\xmax,{1*\ds}) [left] {$\alpha=-0.5$}; +\node[color=darkgreen!16!red] at (\xmax,{2*\ds}) [left] {$\alpha=-1.5$}; +\node[color=darkgreen!26!red] at (\xmax,{3*\ds}) [left] {$\alpha=-2.5$}; +\node[color=darkgreen!37!red] at (\xmax,{4*\ds}) [left] {$\alpha=-2.5$}; +\node[color=darkgreen!47!red] at (\xmax,{5*\ds}) [left] {$\alpha=-3.5$}; +\node[color=darkgreen!57!red] at (\xmax,{6*\ds}) [left] {$\alpha=-5.5$}; +\node[color=darkgreen!68!red] at (\xmax,{7*\ds}) [left] {$\alpha=-6.5$}; +\node[color=darkgreen!78!red] at (\xmax,{8*\ds}) [left] {$\alpha=-7.5$}; +\node[color=darkgreen!89!red] at (\xmax,{9*\ds}) [left] {$\alpha=-8.5$}; +\node[color=darkgreen!100!red]at (\xmax,{10*\ds}) [left] {$\alpha=-9.5$}; +\end{scope} +\end{scope} + +\end{tikzpicture} +\end{document} + |