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| author | Andreas Müller <andreas.mueller@ost.ch> | 2022-01-08 17:42:29 +0100 |
|---|---|---|
| committer | Andreas Müller <andreas.mueller@ost.ch> | 2022-01-08 17:42:29 +0100 |
| commit | 9164518de7acc0a4124ab78872fc376c1bb4e625 (patch) | |
| tree | 261385afc6d5121fbbe732743e041f665bd9691b /buch/chapters/070-orthogonalitaet/images/jacobi.tex | |
| parent | Pole und Nullstellen der Gewichtsfunktion (diff) | |
| download | SeminarSpezielleFunktionen-9164518de7acc0a4124ab78872fc376c1bb4e625.tar.gz SeminarSpezielleFunktionen-9164518de7acc0a4124ab78872fc376c1bb4e625.zip | |
add jacobi illustration
Diffstat (limited to '')
| -rw-r--r-- | buch/chapters/070-orthogonalitaet/images/jacobi.tex | 104 |
1 files changed, 104 insertions, 0 deletions
diff --git a/buch/chapters/070-orthogonalitaet/images/jacobi.tex b/buch/chapters/070-orthogonalitaet/images/jacobi.tex new file mode 100644 index 0000000..7d2853f --- /dev/null +++ b/buch/chapters/070-orthogonalitaet/images/jacobi.tex @@ -0,0 +1,104 @@ +% +% jacobi.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{jacobipaths.tex} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\def\dx{6} +\def\dy{2} +\def\dwy{1} + +\begin{scope} + \begin{scope} + \clip (-6,-2.55) rectangle (6,2.55); + \fill[color=red!20] \legendreweight + -- ({1*\dx},0) -- ({-1*\dx},0) -- cycle; + %\draw[color=blue] \legendrea; + \draw[color=blue] \legendreb; + \draw[color=blue] \legendrec; + \draw[color=blue] \legendred; + \draw[color=blue] \legendree; + \draw[color=blue] \legendref; + \draw[color=blue] \legendreg; + \draw[color=blue] \legendreh; + \draw[color=blue] \legendrei; + \draw[color=blue] \legendrek; + \draw[color=red] \legendreweight; + \end{scope} + \draw[->] (-6.1,0) -- (6.1,0) coordinate[label={$x$}]; + \draw[->] (0,-2.55) -- (0,2.6) coordinate[label={right:$y$}]; + \node at (6,2.3) [left] {$a=0$}; + \node at (-6,2.3) [right] {$b=0$}; +\end{scope} + +\begin{scope}[yshift=-5.6cm] + \begin{scope} + \clip (-6,-2.55) rectangle (6,2.55); + \fill[color=red!20] \aoneweight + -- ({1*\dx},0) -- ({-1*\dx},0) -- cycle; + %\draw[color=blue] \aonea; + \draw[color=blue] \aoneb; + \draw[color=blue] \aonec; + \draw[color=blue] \aoned; + \draw[color=blue] \aonee; + \draw[color=blue] \aonef; + \draw[color=blue] \aoneg; + \draw[color=blue] \aoneh; + \draw[color=blue] \aonei; + \draw[color=blue] \aonek; + \draw[color=blue] \aonel; + \draw[color=blue] \aonem; + \draw[color=blue] \aonen; + \draw[color=blue] \aoneo; + \draw[color=red] \aoneweight; + \end{scope} + \draw[->] (-6.1,0) -- (6.1,0) coordinate[label={$x$}]; + \draw[->] (0,-2.55) -- (0,2.6) coordinate[label={right:$y$}]; + \node at (6,2.3) [left] {$a=1$}; + \node at (-6,2.3) [right] {$b=0$}; +\end{scope} + +\begin{scope}[yshift=-11.2cm] + \begin{scope} + \clip (-6,-2.55) rectangle (6,2.55); + \fill[color=red!20] \aminusoneweight + -- ({1*\dx},3) + -- ({1*\dx},0) -- ({-1*\dx},0) -- cycle; + %\draw[color=blue] \aminusonea; + \draw[color=blue] \aminusoneb; + \draw[color=blue] \aminusonec; + \draw[color=blue] \aminusoned; + \draw[color=blue] \aminusonee; + \draw[color=blue] \aminusonef; + \draw[color=blue] \aminusoneg; + \draw[color=blue] \aminusoneh; + \draw[color=blue] \aminusonei; + \draw[color=blue] \aminusonek; + \draw[color=blue] \aminusonel; + \draw[color=blue] \aminusonem; + \draw[color=blue] \aminusonen; + \draw[color=blue] \aminusoneo; + \draw[color=red] \aminusoneweight; + \end{scope} + \draw[->] (-6.1,0) -- (6.1,0) coordinate[label={$x$}]; + \draw[->] (0,-2.55) -- (0,2.6) coordinate[label={right:$y$}]; + \node at (6,2.3) [left] {$a=-1$}; + \node at (-6,2.3) [right] {$b=0$}; +\end{scope} + + + +\end{tikzpicture} +\end{document} + |