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Diffstat (limited to 'buch/chapters/010-potenzen/images/lissajous-chebyshef.tex')
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diff --git a/buch/chapters/010-potenzen/images/lissajous-chebyshef.tex b/buch/chapters/010-potenzen/images/lissajous-chebyshef.tex new file mode 100644 index 0000000..cb8e461 --- /dev/null +++ b/buch/chapters/010-potenzen/images/lissajous-chebyshef.tex @@ -0,0 +1,84 @@ +% +% lissajous.tex -- annotated lissajous figure +% +% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\begin{document} +\def\skala{1} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\fill[color=black] (-7.1,-2.4) rectangle (7.5,2.4); +\begin{scope} + \clip (-7,-2) rectangle (7,2); + \node at (0,-0.065) [rotate=-0.5] + {\includegraphics[width=14cm]{lissajous.jpg}}; +\end{scope} + +\draw[->,color=white] (-7,0) -- (7.5,0); + +\def\xupper{1.7} +\xdef\xlower{-\xupper} +\draw[line width=0.7pt,color=white] (-7.1,\xupper) -- (7.5,\xupper); +\draw[line width=0.7pt,color=white] (-7.1,\xlower) -- (7.5,\xlower); + + +%\fill[color=red] (-6.315,0) circle[radius=0.08]; +%\fill[color=red] (-5.92,0) circle[radius=0.08]; +%\fill[color=red] (-5.2,0) circle[radius=0.08]; +%\fill[color=red] (-4.13,0) circle[radius=0.08]; +%\fill[color=red] (-2.85,0) circle[radius=0.08]; +%\fill[color=red] (-1.37,0) circle[radius=0.08]; +%\fill[color=red] (0.2,0) circle[radius=0.08]; +%\fill[color=red] (1.73,0) circle[radius=0.08]; +%\fill[color=red] (3.21,0) circle[radius=0.08]; +%\fill[color=red] (4.52,0) circle[radius=0.08]; +%\fill[color=red] (5.57,0) circle[radius=0.08]; +%\fill[color=red] (6.32,0) circle[radius=0.08]; +%\fill[color=red] (6.71,0) circle[radius=0.08]; +% +\node[color=red] at (-6.315,0) [above left] {$x_0\mathstrut$}; +\node[color=red] at (-5.92,0) [above right] {$x_1\mathstrut$}; +\node[color=red] at (-5.2,0) [below right] {$x_2\mathstrut$}; +\node[color=red] at (-4.13,0) [above right] {$x_3\mathstrut$}; +\node[color=red] at (-2.85,0) [below right] {$x_4\mathstrut$}; +\node[color=red] at (-1.37,0) [above right] {$x_5\mathstrut$}; +\node[color=red] at (0.2,0) [above left] {$x_6\mathstrut$}; +\node[color=red] at (1.73,0) [below left] {$x_7\mathstrut$}; +\node[color=red] at (3.21,0) [above left] {$x_8\mathstrut$}; +\node[color=red] at (4.52,0) [below left] {$x_9\mathstrut$}; +\node[color=red] at (5.57,0) [above left] {$x_{10}\mathstrut$}; +\node[color=red] at ({6.32+0.1},0) [below left] {$x_{11}\mathstrut$}; +\node[color=red] at ({6.71},0) [below right] {$x_{12}\mathstrut$}; + +\def\xamplitude{6.57} +\def\yamplitude{1.66} + +\begin{scope}[xshift=0.20cm] +\draw[color=red,line width=1pt] plot[domain=0:180,samples=1000] + ({\xamplitude*cos(\x)},{\yamplitude*cos(13*\x)}); + +\foreach \k in {0,...,13}{ + \pgfmathparse{(90+180*\k)/13} + \xdef\winkel{\pgfmathresult} + \fill[color=red] + ({\xamplitude*cos(\winkel)},{\yamplitude*cos(13*\winkel)}) + circle[radius=0.08]; +} + +\node[color=white] at (0,{\yamplitude+0.4}) + {$\displaystyle \max \{\, l(x)\;|\; {-1}\le x \le 1 \} $}; +\node[color=white] at (0,{-\yamplitude-0.4}) + {$\displaystyle \min \{\, l(x)\;|\; {-1}\le x \le 1 \} $}; + +\end{scope} + +\end{tikzpicture} +\end{document} + |