From f4e1f6e84837c77dd49e6ec055efb1b110f7d573 Mon Sep 17 00:00:00 2001
From: Nicolas Tobler <nicolas.tobler@ost.ch>
Date: Mon, 30 May 2022 00:05:03 +0200
Subject: Added content, presentation

---
 buch/papers/ellfilter/tikz/arccos.tikz.tex | 101 ++++++++++-------------------
 1 file changed, 35 insertions(+), 66 deletions(-)

(limited to 'buch/papers/ellfilter/tikz/arccos.tikz.tex')

diff --git a/buch/papers/ellfilter/tikz/arccos.tikz.tex b/buch/papers/ellfilter/tikz/arccos.tikz.tex
index 2bdcc2d..2772620 100644
--- a/buch/papers/ellfilter/tikz/arccos.tikz.tex
+++ b/buch/papers/ellfilter/tikz/arccos.tikz.tex
@@ -1,81 +1,49 @@
 \begin{tikzpicture}[>=stealth', auto, node distance=2cm, scale=1.2]
 
+    \tikzstyle{zero} = [draw, circle, inner sep =0, minimum height=0.15cm]
+    \tikzset{pole/.style={cross out, draw=black, minimum size=(0.15cm-\pgflinewidth), inner sep=0pt, outer sep=0pt}}
 
-    \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{Im $z$};
-    \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{Re $z$};
+    \draw[gray, ->] (0,-2) -- (0,2) node[anchor=south]{$\mathrm{Im}~z$};
+    \draw[gray, ->] (-5,0) -- (5,0) node[anchor=west]{$\mathrm{Re}~z$};
 
-    \begin{scope}
-        \draw[thick, ->, orange] (-1, 0) -- (0,0);
-        \draw[thick, ->, darkgreen] (0, 0) -- (0,1.5);
-        \draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5);
-        \draw[thick, ->, orange] (1, 0) -- (0,0);
-        \draw[thick, ->, red] (2, 0) -- (1,0);
-        \draw[thick, ->, blue] (2,1.5) -- (2, 0);
-        \draw[thick, ->, blue] (2,-1.5) -- (2, 0);
-        \draw[thick, ->, red] (2, 0) -- (3,0);
-
-        \node[anchor=south west] at (0,1.5) {$\infty$};
-        \node[anchor=south west] at (0,-1.5) {$\infty$};
-        \node[anchor=south west] at (0,0) {$1$};
-        \node[anchor=south] at (1,0) {$0$};
-        \node[anchor=south west] at (2,0) {$-1$};
-        \node[anchor=south west] at (2,1.5) {$-\infty$};
-        \node[anchor=south west] at (2,-1.5) {$-\infty$};
-        \node[anchor=south west] at (3,0) {$0$};
-    \end{scope}
+    \begin{scope}[xscale=0.6]
 
-    \begin{scope}[xshift=4cm]
-        \draw[thick, ->, orange] (-1, 0) -- (0,0);
-        \draw[thick, ->, darkgreen] (0, 0) -- (0,1.5);
-        \draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5);
-        % \draw[thick, ->, orange] (1, 0) -- (0,0);
-        % \draw[thick, ->, red] (2, 0) -- (1,0);
-        % \draw[thick, ->, blue] (2,1.5) -- (2, 0);
-        % \draw[thick, ->, blue] (2,-1.5) -- (2, 0);
-        % \draw[thick, ->, red] (2, 0) -- (3,0);
-
-        \node[anchor=south west] at (0,1.5) {$\infty$};
-        \node[anchor=south west] at (0,-1.5) {$\infty$};
-        \node[anchor=south west] at (0,0) {$1$};
-        % \node[anchor=south] at (1,0) {$0$};
-        % \node[anchor=south west] at (2,0) {$-1$};
-        % \node[anchor=south west] at (2,1.5) {$-\infty$};
-        % \node[anchor=south west] at (2,-1.5) {$-\infty$};
-        % \node[anchor=south west] at (3,0) {$0$};
-    \end{scope}
+        \clip(-7.5,-2) rectangle (7.5,2);
 
-    \begin{scope}[xshift=-4cm]
-        % \draw[thick, ->, orange] (-1, 0) -- (0,0);
         \draw[thick, ->, darkgreen] (0, 0) -- (0,1.5);
-        \draw[thick, ->, darkgreen] (0, 0) -- (0,-1.5);
         \draw[thick, ->, orange] (1, 0) -- (0,0);
         \draw[thick, ->, red] (2, 0) -- (1,0);
         \draw[thick, ->, blue] (2,1.5) -- (2, 0);
-        \draw[thick, ->, blue] (2,-1.5) -- (2, 0);
-        \draw[thick, ->, red] (2, 0) -- (3,0);
-
-        \node[anchor=south west] at (0,1.5) {$\infty$};
-        \node[anchor=south west] at (0,-1.5) {$\infty$};
-        \node[anchor=south west] at (0,0) {$1$};
-        \node[anchor=south] at (1,0) {$0$};
-        \node[anchor=south west] at (2,0) {$-1$};
-        \node[anchor=south west] at (2,1.5) {$-\infty$};
-        \node[anchor=south west] at (2,-1.5) {$-\infty$};
-        \node[anchor=south west] at (3,0) {$0$};
-    \end{scope}
-
-    \node[gray, anchor=north west] at (-4,0) {$-2\pi$};
-    \node[gray, anchor=north west] at (-2,0) {$-\pi$};
-    \node[gray, anchor=north west] at (0,0) {$0$};
-    \node[gray, anchor=north west] at (2,0) {$\pi$};
-    \node[gray, anchor=north west] at (4,0) {$2\pi$};
-
-
-    \node[gray, anchor=south east] at (0,-1.5) {$-\infty$};
-    \node[gray, anchor=south east] at (0, 0) {$0$};
-    \node[gray, anchor=south east] at (0, 1.5) {$\infty$};
 
+        \foreach \i in {-2,...,1} {
+            \begin{scope}[opacity=0.5, xshift=\i*4cm]
+                \draw[->, orange] (-1, 0) -- (0,0);
+                \draw[->, darkgreen] (0, 0) -- (0,1.5);
+                \draw[->, darkgreen] (0, 0) -- (0,-1.5);
+                \draw[->, orange] (1, 0) -- (0,0);
+                \draw[->, red] (2, 0) -- (1,0);
+                \draw[->, blue] (2,1.5) -- (2, 0);
+                \draw[->, blue] (2,-1.5) -- (2, 0);
+                \draw[->, red] (2, 0) -- (3,0);
+
+                \node[zero] at (1,0) {};
+                \node[zero] at (3,0) {};
+            \end{scope}
+        }
+
+        \node[gray, anchor=north] at (-6,0) {$-3\pi$};
+        \node[gray, anchor=north] at (-4,0) {$-2\pi$};
+        \node[gray, anchor=north] at (-2,0) {$-\pi$};
+        % \node[gray, anchor=north] at (0,0) {$0$};
+        \node[gray, anchor=north] at (2,0) {$\pi$};
+        \node[gray, anchor=north] at (4,0) {$2\pi$};
+        \node[gray, anchor=north] at (6,0) {$3\pi$};
+
+        \node[gray, anchor=east] at (0,-1.5) {$-\infty$};
+        % \node[gray, anchor=south east] at (0, 0) {$0$};
+        \node[gray, anchor=east] at (0, 1.5) {$\infty$};
 
+    \end{scope}
 
     \begin{scope}[yshift=-2.5cm]
 
@@ -94,4 +62,5 @@
 
     \end{scope}
 
+
 \end{tikzpicture}
\ No newline at end of file
-- 
cgit v1.2.1

