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/ellall.pdf | Bin 24694 -> 22593 bytes
buch/chapters/110-elliptisch/images/ellall.tex | 79 +++++++++++++++------
buch/chapters/110-elliptisch/images/ellcommon.tex | 8 +--
buch/chapters/110-elliptisch/images/ellpolnul.pdf | Bin 23281 -> 19647 bytes
buch/chapters/110-elliptisch/images/ellpolnul.tex | 2 +-
.../chapters/110-elliptisch/images/jacobiplots.pdf | Bin 59737 -> 56975 bytes
buch/chapters/110-elliptisch/images/kegelpara.pdf | Bin 203620 -> 202828 bytes
.../110-elliptisch/images/torusschnitt.pdf | Bin 313517 -> 312677 bytes
8 files changed, 64 insertions(+), 25 deletions(-)
(limited to 'buch')
diff --git a/buch/chapters/110-elliptisch/images/ellall.pdf b/buch/chapters/110-elliptisch/images/ellall.pdf
index a57be97..fd0a5dd 100644
Binary files a/buch/chapters/110-elliptisch/images/ellall.pdf 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
index b694441..b37fe12 100644
--- a/buch/chapters/110-elliptisch/images/ellall.tex
+++ b/buch/chapters/110-elliptisch/images/ellall.tex
@@ -51,12 +51,13 @@
\end{scope}
\begin{scope}[xshift=-3cm,yshift=0cm]
-\rechteck{gray}{1}
+\node at (0,0) {$1$};
+\draw[color=gray!20] (-1,-1) rectangle (1,1);
\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}
+\definecolor{sccolor}{rgb}{0.8,0.0,1.0}
+\definecolor{sdcolor}{rgb}{0.6,0.6,0.0}
+\definecolor{cdcolor}{rgb}{0.0,0.6,1.0}
\begin{scope}[xshift=0cm]
\rechteck{rot}{\operatorname{sn}(u,k)}
@@ -74,7 +75,7 @@
\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}
@@ -96,23 +97,36 @@
\rechteck{rot}{\operatorname{ns}(u,k)}
\pol{(-1,-1)}{rot}
\nullstelle{(-1,1)}{rot}
+\node at (-1,-1) {$\infty$};
+\node at (1,-1) {$1$};
+\node at (1,1) {$k$};
+\node at (-1,1) {$0$};
\end{scope}
\begin{scope}[xshift=0cm,yshift=-3cm]
-\rechteck{gray}{1}
+%\rechteck{gray}{1}
+\fill[color=white] (-1,-1) rectangle (1,1);
+\node[color=gray] at (0,0) {$1$};
\end{scope}
\begin{scope}[xshift=3cm,yshift=-3cm]
\rechteck{sccolor}{\operatorname{cs}(u,k)}
-\pol{(1,-1)}{sccolor}
-\nullstelle{(-1,-1)}{sccolor}
+\pol{(-1,-1)}{sccolor}
+\nullstelle{(1,-1)}{sccolor}
+\node at (-1,-1) {$\infty$};
+\node at (1,-1) {$0$};
+\node at (1,1) {$\frac{k'}{i}$};
+\node at (-1,1) {$ $};
\end{scope}
\begin{scope}[xshift=6cm,yshift=-3cm]
\rechteck{sdcolor}{\operatorname{ds}(u,k)}
-\pol{(-1,1)}{sdcolor}
-\nullstelle{(-1,-1)}{sdcolor}
+\pol{(-1,-1)}{sdcolor}
\nullstelle{(1,1)}{sdcolor}
+\node at (-1,-1) {$\infty$};
+\node at (1,-1) {$k'$};
+\node at (1,1) {$0$};
+\node at (-1,1) {$ $};
\end{scope}
%
@@ -123,23 +137,36 @@
\rechteck{blau}{\operatorname{nc}(u,k)}
\pol{(1,-1)}{blau}
\nullstelle{(-1,1)}{blau}
+\node at (-1,-1) {$1$};
+\node at (-1,1) {$0$};
+\node at (1,-1) {$\infty$};
+\node at (1,1) {$\frac{ik}{k'}$};
\end{scope}
\begin{scope}[xshift=0cm,yshift=-6cm]
\rechteck{sccolor}{\operatorname{sc}(u,k)}
-\nullstelle{(1,-1)}{sccolor}
-\pol{(-1,-1)}{sccolor}
+\nullstelle{(-1,-1)}{sccolor}
+\pol{(1,-1)}{sccolor}
+\node at (-1,-1) {$0$};
+\node at (1,-1) {$\infty$};
+\node at (-1,1) {$ $};
+\node at (1,1) {$\frac{i}{k'}$};
\end{scope}
\begin{scope}[xshift=3cm,yshift=-6cm]
-\rechteck{gray}{1}
+%\rechteck{gray}{1}
+\fill[color=white] (-1,-1) rectangle (1,1);
+\node[color=gray] at (0,0) {$1$};
\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}
+\pol{(1,-1)}{cdcolor}
+\node at (-1,-1) {$1$};
+\node at (1,-1) {$\infty$};
+\node at (-1,1) {$k$};
+\node at (1,1) {$0$};
\end{scope}
%
@@ -150,24 +177,36 @@
\rechteck{gruen}{\operatorname{nd}(u,k)}
\pol{(1,1)}{gruen}
\nullstelle{(-1,1)}{gruen}
+\node at (-1,-1) {$1$};
+\node at (-1,1) {$0$};
+\node at (1,-1) {$\frac{1}{k'}$};
+\node at (1,1) {$\infty$};
\end{scope}
\begin{scope}[xshift=0cm,yshift=-9cm]
\rechteck{sdcolor}{\operatorname{sd}(u,k)}
-\nullstelle{(-1,1)}{sdcolor}
-\pol{(-1,-1)}{sdcolor}
+\nullstelle{(-1,-1)}{sdcolor}
\pol{(1,1)}{sdcolor}
+\node at (-1,-1) {$0$};
+\node at (1,-1) {$\frac{1}{k'}$};
+\node at (-1,1) {$ $};
+\node at (1,1) {$\infty$};
\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}
+\nullstelle{(1,-1)}{cdcolor}
+\node at (-1,-1) {$1$};
+\node at (-1,1) {$\frac1k $};
+\node at (1,-1) {$0$};
+\node at (1,1) {$\infty$};
\end{scope}
\begin{scope}[xshift=6cm,yshift=-9cm]
-\rechteck{gray}{1}
+%\rechteck{gray}{1}
+\fill[color=white] (-1,-1) rectangle (1,1);
+\node[color=gray] at (0,0) {$1$};
\end{scope}
diff --git a/buch/chapters/110-elliptisch/images/ellcommon.tex b/buch/chapters/110-elliptisch/images/ellcommon.tex
index 90bc486..cd3245d 100644
--- a/buch/chapters/110-elliptisch/images/ellcommon.tex
+++ b/buch/chapters/110-elliptisch/images/ellcommon.tex
@@ -10,15 +10,15 @@
\def\l{0.2}
\def\pol#1#2{
- \draw[color=#2!40,line width=2.4pt]
+ \draw[color=#2!50,line width=3.0pt]
($#1+(-\l,-\l)$) -- ($#1+(\l,\l)$);
- \draw[color=#2!40,line width=2.4pt]
+ \draw[color=#2!50,line width=3.0pt]
($#1+(-\l,\l)$) -- ($#1+(\l,-\l)$);
}
\def\nullstelle#1#2{
- \draw[color=#2!40,line width=2.4pt] #1 circle[radius=\l];
+ \draw[color=#2!50,line width=3.0pt] #1 circle[radius=\l];
}
\def\rechteck#1#2{
\fill[color=#1!20] (-1,-1) rectangle (1,1);
- \node[color=#1] at (0,0) {$#2$};
+ \node[color=#1] at (0,0) {$#2\mathstrut$};
}
diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.pdf b/buch/chapters/110-elliptisch/images/ellpolnul.pdf
index d6549c4..9143d2d 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 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}
diff --git a/buch/chapters/110-elliptisch/images/jacobiplots.pdf b/buch/chapters/110-elliptisch/images/jacobiplots.pdf
index 49bfeb2..331270e 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 65a5b45..b23654c 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 519a5a3..f70f362 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