From 45e236bc519b62e8afc1aea7d2e625df4c145348 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Wed, 22 Jun 2022 11:49:27 +0200
Subject: add ell stuff

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 57 +++++++++++++++++++++++
 1 file changed, 57 insertions(+)
 create mode 100644 buch/chapters/110-elliptisch/images/ellpolnul.tex

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
new file mode 100644
index 0000000..831b477
--- /dev/null
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -0,0 +1,57 @@
+%
+% 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}
+\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] {$K$};
+\node at (1,1) [above right] {$K+iK'$};
+\node at (-1,1) [above left] {$iK'$};
+\node at (0,0) {$u$};
+
+\begin{scope}[xshift=4cm]
+\fill[color=rot!20] (-1,-1) rectangle (1,1);
+\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);
+\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);
+\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}
+\end{document}
+
-- 
cgit v1.2.1


From 17f90bd131bdf24110d8933fd804413d53e17bc5 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@othello.ch>
Date: Wed, 22 Jun 2022 13:07:36 +0200
Subject: add graph for all functions

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 24 +++++++++++------------
 1 file changed, 12 insertions(+), 12 deletions(-)

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

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}
-- 
cgit v1.2.1


From 0a0f36f71e9dff9b9c87a66a669e0d2f388d21c6 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Thu, 23 Jun 2022 19:23:58 +0200
Subject: poles and zeros

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
index 1ed6b22..16730f9 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.tex
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -38,7 +38,7 @@
 \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) {$\frac{k'}{ik}$};
 \node at (-1,1) {$\infty$};
 \end{scope}
 
-- 
cgit v1.2.1


From 3a7e2cef27bd78a96b20751db2a53f7291fcd2a6 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Fri, 24 Jun 2022 20:18:48 +0200
Subject: add grid to images

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 9 +++++++++
 1 file changed, 9 insertions(+)

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
index 16730f9..fe1d235 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.tex
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -15,6 +15,15 @@
 \def\skala{1}
 \begin{tikzpicture}[>=latex,thick,scale=\skala]
 
+\input rechteckpfade3.tex
+
+\pgfmathparse{1/\xmax}
+\xdef\dx{\pgfmathresult}
+\xdef\dy{\dx}
+
+\netz{0.1pt}
+\draw[line width=0.1pt] (-1,0) -- (1,0);
+\fill[color=white,opacity=0.5] (-1,-1) rectangle (1,1);
 \draw (-1,-1) rectangle (1,1);
 \node at (-1,-1) [below left] {$0$};
 \node at (1,-1) [below right] {$K$};
-- 
cgit v1.2.1


From b2d8e88a2517a5d15b01f4e34ac12dfc8723c265 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Fri, 24 Jun 2022 20:30:36 +0200
Subject: improve elliptic domain images

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 9 ++++++---
 1 file changed, 6 insertions(+), 3 deletions(-)

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
index fe1d235..b3183fc 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.tex
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -17,12 +17,15 @@
 
 \input rechteckpfade3.tex
 
-\pgfmathparse{1/\xmax}
+\pgfmathparse{2/\xmax}
 \xdef\dx{\pgfmathresult}
 \xdef\dy{\dx}
 
-\netz{0.1pt}
-\draw[line width=0.1pt] (-1,0) -- (1,0);
+\begin{scope}[xshift=-1cm,yshift=-1cm]
+\clip (0,0) rectangle (2,2);
+\netz{0.4pt}
+\draw[line width=0.4pt] (-1,0) -- (1,0);
+\end{scope}
 \fill[color=white,opacity=0.5] (-1,-1) rectangle (1,1);
 \draw (-1,-1) rectangle (1,1);
 \node at (-1,-1) [below left] {$0$};
-- 
cgit v1.2.1


From e1e6149b020ef102e257adb9898d5ba5242bac05 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Fri, 24 Jun 2022 20:47:33 +0200
Subject: more improvements

---
 buch/chapters/110-elliptisch/images/ellpolnul.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'buch/chapters/110-elliptisch/images/ellpolnul.tex')

diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
index b3183fc..dfa04d3 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.tex
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -26,7 +26,7 @@
 \netz{0.4pt}
 \draw[line width=0.4pt] (-1,0) -- (1,0);
 \end{scope}
-\fill[color=white,opacity=0.5] (-1,-1) rectangle (1,1);
+\fill[color=white,opacity=0.7] (-1,-1) rectangle (1,1);
 \draw (-1,-1) rectangle (1,1);
 \node at (-1,-1) [below left] {$0$};
 \node at (1,-1) [below right] {$K$};
-- 
cgit v1.2.1

