From 17f90bd131bdf24110d8933fd804413d53e17bc5 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Wed, 22 Jun 2022 13:07:36 +0200 Subject: add graph for all functions --- buch/chapters/110-elliptisch/images/Makefile | 6 +- buch/chapters/110-elliptisch/images/ellall.pdf | Bin 0 -> 22616 bytes buch/chapters/110-elliptisch/images/ellall.tex | 148 +++++++++++++++++++++ buch/chapters/110-elliptisch/images/ellpolnul.pdf | Bin 19288 -> 23281 bytes buch/chapters/110-elliptisch/images/ellpolnul.tex | 24 ++-- .../chapters/110-elliptisch/images/jacobiplots.pdf | Bin 56975 -> 59737 bytes buch/chapters/110-elliptisch/images/kegelpara.pdf | Bin 202828 -> 203620 bytes .../110-elliptisch/images/torusschnitt.pdf | Bin 312677 -> 313517 bytes 8 files changed, 164 insertions(+), 14 deletions(-) create mode 100644 buch/chapters/110-elliptisch/images/ellall.pdf create mode 100644 buch/chapters/110-elliptisch/images/ellall.tex (limited to 'buch/chapters/110-elliptisch') diff --git a/buch/chapters/110-elliptisch/images/Makefile b/buch/chapters/110-elliptisch/images/Makefile index 3074994..cd8e905 100644 --- a/buch/chapters/110-elliptisch/images/Makefile +++ b/buch/chapters/110-elliptisch/images/Makefile @@ -6,7 +6,7 @@ all: lemniskate.pdf ellipsenumfang.pdf unvollstaendig.pdf rechteck.pdf \ ellipse.pdf pendel.pdf jacobiplots.pdf jacobidef.pdf jacobi12.pdf \ sncnlimit.pdf slcl.pdf torusschnitt.pdf kegelpara.pdf lemnispara.pdf \ - ellpolnul.pdf + ellpolnul.pdf ellall.pdf lemniskate.pdf: lemniskate.tex pdflatex lemniskate.tex @@ -115,5 +115,7 @@ lemnispara.pdf: lemnispara.tex lemnisparadata.tex ltest: lemnispara.pdf -ellpolnul.pdf: ellpolnul.tex +ellpolnul.pdf: ellpolnul.tex ellcommon.tex pdflatex ellpolnul.tex +ellall.pdf: ellall.tex ellcommon.tex + pdflatex ellall.tex diff --git a/buch/chapters/110-elliptisch/images/ellall.pdf b/buch/chapters/110-elliptisch/images/ellall.pdf new file mode 100644 index 0000000..0047a52 Binary files /dev/null and b/buch/chapters/110-elliptisch/images/ellall.pdf differ diff --git a/buch/chapters/110-elliptisch/images/ellall.tex b/buch/chapters/110-elliptisch/images/ellall.tex new file mode 100644 index 0000000..5d63322 --- /dev/null +++ b/buch/chapters/110-elliptisch/images/ellall.tex @@ -0,0 +1,148 @@ +% +% ellpolnul.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,calc} +\begin{document} +\input{ellcommon.tex} +\def\skala{1} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +%\draw (-1,-1) rectangle (1,1); +%\node at (-1,-1) [below left] {$0$}; +%\node at (1,-1) [below right] {$K$}; +%\node at (1,1) [above right] {$K+iK'$}; +%\node at (-1,1) [above left] {$iK'$}; +%\node at (0,0) {$u$}; + +\begin{scope}[xshift=-3cm,yshift=0cm] +\rechteck{gray}{1} +\end{scope} + +\definecolor{sccolor}{rgb}{0.8,0.2,0.8} +\definecolor{sdcolor}{rgb}{0.8,0.8,0.2} +\definecolor{cdcolor}{rgb}{0.2,0.8,0.8} + +\begin{scope}[xshift=0cm] +\rechteck{rot}{\operatorname{sn}(u,k)} +\nullstelle{(-1,-1)}{rot} +\pol{(-1,1)}{rot} +\node at (-1,-1) {$0$}; +\node at (1,-1) {$1$}; +\node at (1,1) {$\frac1k$}; +\node at (-1,1) {$\infty$}; +\end{scope} + +\begin{scope}[xshift=3cm] +\rechteck{blau}{\operatorname{cn}(u,k)} +\nullstelle{(1,-1)}{blau} +\pol{(-1,1)}{blau} +\node at (-1,-1) {$1$}; +\node at (1,-1) {$0$}; +\node at (1,1) {$\frac{ik'}k$}; +\node at (-1,1) {$\infty$}; +\end{scope} + +\begin{scope}[xshift=6cm] +\rechteck{gruen}{\operatorname{dn}(u,k)} +\nullstelle{(1,1)}{gruen} +\pol{(-1,1)}{gruen} +\node at (-1,-1) {$1$}; +\node at (1,-1) {$k'$}; +\node at (1,1) {$0$}; +\node at (-1,1) {$\infty$}; +\end{scope} + +% +% start row with denominator sn(u,k) +% + +\begin{scope}[xshift=-3cm,yshift=-3cm] +\rechteck{rot}{\operatorname{ns}(u,k)} +\pol{(-1,-1)}{rot} +\nullstelle{(-1,1)}{rot} +\end{scope} + +\begin{scope}[xshift=0cm,yshift=-3cm] +\rechteck{gray}{1} +\end{scope} + +\begin{scope}[xshift=3cm,yshift=-3cm] +\rechteck{sccolor}{\operatorname{cs}(u,k)} +\pol{(1,-1)}{sccolor} +\nullstelle{(-1,-1)}{sccolor} +\end{scope} + +\begin{scope}[xshift=6cm,yshift=-3cm] +\rechteck{sdcolor}{\operatorname{ds}(u,k)} +\pol{(-1,1)}{sdcolor} +\nullstelle{(-1,-1)}{sdcolor} +\nullstelle{(1,1)}{sdcolor} +\end{scope} + +% +% start row with denominator cn(u,k) +% + +\begin{scope}[xshift=-3cm,yshift=-6cm] +\rechteck{blau}{\operatorname{nc}(u,k)} +\pol{(1,-1)}{blau} +\nullstelle{(-1,1)}{blau} +\end{scope} + +\begin{scope}[xshift=0cm,yshift=-6cm] +\rechteck{sccolor}{\operatorname{sc}(u,k)} +\nullstelle{(1,-1)}{sccolor} +\pol{(-1,-1)}{sccolor} +\end{scope} + +\begin{scope}[xshift=3cm,yshift=-6cm] +\rechteck{gray}{1} +\end{scope} + +\begin{scope}[xshift=6cm,yshift=-6cm] +\rechteck{cdcolor}{\operatorname{dc}(u,k)} +\nullstelle{(1,1)}{cdcolor} +\nullstelle{(1,-1)}{cdcolor} +\pol{(-1,1)}{cdcolor} +\end{scope} + +% +% start row with denominator dn(u,k) +% + +\begin{scope}[xshift=-3cm,yshift=-9cm] +\rechteck{gruen}{\operatorname{nd}(u,k)} +\pol{(1,1)}{gruen} +\nullstelle{(-1,1)}{gruen} +\end{scope} + +\begin{scope}[xshift=0cm,yshift=-9cm] +\rechteck{sdcolor}{\operatorname{sd}(u,k)} +\nullstelle{(-1,1)}{sdcolor} +\pol{(-1,-1)}{sdcolor} +\pol{(1,1)}{sdcolor} +\end{scope} + +\begin{scope}[xshift=3cm,yshift=-9cm] +\rechteck{cdcolor}{\operatorname{cd}(u,k)} +\pol{(1,1)}{cdcolor} +\pol{(1,-1)}{cdcolor} +\nullstelle{(-1,1)}{cdcolor} +\end{scope} + +\begin{scope}[xshift=6cm,yshift=-9cm] +\rechteck{gray}{1} +\end{scope} + + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.pdf b/buch/chapters/110-elliptisch/images/ellpolnul.pdf index ca52cdf..d6549c4 100644 Binary files a/buch/chapters/110-elliptisch/images/ellpolnul.pdf and b/buch/chapters/110-elliptisch/images/ellpolnul.pdf differ diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex index 831b477..1ed6b22 100644 --- a/buch/chapters/110-elliptisch/images/ellpolnul.tex +++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex @@ -1,5 +1,5 @@ % -% tikztemplate.tex -- template for standalon tikz images +% ellpolnul.tex -- template for standalon tikz images % % (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule % @@ -9,15 +9,12 @@ \usepackage{txfonts} \usepackage{pgfplots} \usepackage{csvsimple} -\usetikzlibrary{arrows,intersections,math} +\usetikzlibrary{arrows,intersections,math,calc} \begin{document} +\input{ellcommon.tex} \def\skala{1} \begin{tikzpicture}[>=latex,thick,scale=\skala] -\definecolor{rot}{rgb}{0.8,0,0} -\definecolor{blau}{rgb}{0,0,1} -\definecolor{gruen}{rgb}{0,0.6,0} - \draw (-1,-1) rectangle (1,1); \node at (-1,-1) [below left] {$0$}; \node at (1,-1) [below right] {$K$}; @@ -26,30 +23,33 @@ \node at (0,0) {$u$}; \begin{scope}[xshift=4cm] -\fill[color=rot!20] (-1,-1) rectangle (1,1); +\rechteck{rot}{\operatorname{sn}(u,k)} +\nullstelle{(-1,-1)}{rot} +\pol{(-1,1)}{rot} \node at (-1,-1) {$0$}; \node at (1,-1) {$1$}; \node at (1,1) {$\frac1k$}; \node at (-1,1) {$\infty$}; -\node[color=rot] at (0,0) {$\operatorname{sn}(u,k)$}; \end{scope} \begin{scope}[xshift=7cm] -\fill[color=blau!20] (-1,-1) rectangle (1,1); +\rechteck{blau}{\operatorname{cn}(u,k)} +\nullstelle{(1,-1)}{blau} +\pol{(-1,1)}{blau} \node at (-1,-1) {$1$}; \node at (1,-1) {$0$}; \node at (1,1) {$\frac{ik'}k$}; \node at (-1,1) {$\infty$}; -\node[color=blau] at (0,0) {$\operatorname{cn}(u,k)$}; \end{scope} \begin{scope}[xshift=10cm] -\fill[color=gruen!20] (-1,-1) rectangle (1,1); +\rechteck{gruen}{\operatorname{dn}(u,k)} +\nullstelle{(1,1)}{gruen} +\pol{(-1,1)}{gruen} \node at (-1,-1) {$1$}; \node at (1,-1) {$k'$}; \node at (1,1) {$0$}; \node at (-1,1) {$\infty$}; -\node[color=gruen] at (0,0) {$\operatorname{dn}(u,k)$}; \end{scope} \end{tikzpicture} diff --git a/buch/chapters/110-elliptisch/images/jacobiplots.pdf b/buch/chapters/110-elliptisch/images/jacobiplots.pdf index d30f670..49bfeb2 100644 Binary files a/buch/chapters/110-elliptisch/images/jacobiplots.pdf and b/buch/chapters/110-elliptisch/images/jacobiplots.pdf differ diff --git a/buch/chapters/110-elliptisch/images/kegelpara.pdf b/buch/chapters/110-elliptisch/images/kegelpara.pdf index 65b097f..65a5b45 100644 Binary files a/buch/chapters/110-elliptisch/images/kegelpara.pdf and b/buch/chapters/110-elliptisch/images/kegelpara.pdf differ diff --git a/buch/chapters/110-elliptisch/images/torusschnitt.pdf b/buch/chapters/110-elliptisch/images/torusschnitt.pdf index 2eba07e..519a5a3 100644 Binary files a/buch/chapters/110-elliptisch/images/torusschnitt.pdf and b/buch/chapters/110-elliptisch/images/torusschnitt.pdf differ -- cgit v1.2.1