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Diffstat (limited to 'buch/chapters/080-funktionentheorie/images/laurent.tex')
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diff --git a/buch/chapters/080-funktionentheorie/images/laurent.tex b/buch/chapters/080-funktionentheorie/images/laurent.tex new file mode 100644 index 0000000..b403aea --- /dev/null +++ b/buch/chapters/080-funktionentheorie/images/laurent.tex @@ -0,0 +1,57 @@ +% +% laurent.tex -- Laurent-Reihen und Cauchy-Integral +% +% (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,decorations.markings} +\begin{document} +\def\skala{1} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\coordinate (Z0) at (1.5,1); + +\def\d{0.03} + +\draw[->] (-2.1,0) -- (4.8,0) coordinate[label={$\operatorname{Re}z$}]; +\draw[->] (0,-2.1) -- (0,4.3) coordinate[label={$\operatorname{Im}z$}]; + +\fill[color=red!20,opacity=0.7] (Z0) circle[radius=2.5]; + +\fill[color=white] (Z0) circle[radius=0.2]; + + +\draw[color=red] (Z0) circle[radius=2.5]; +\draw[color=red] (Z0) circle[radius=0.2]; +\fill[color=white] ($(Z0)+(0,-\d)$) rectangle ($(Z0)+(3,\d)$); +\begin{scope}[decoration={ + markings, + mark=at position 0.5 with {\arrow{>}}} + ] +\draw[color=red,postaction={decorate}] + ($(Z0)+({asin(-\d/2.5)}:2.5)$) + -- + ($(Z0)+({asin(-\d/0.2)}:0.2)$); +\draw[color=red,postaction={decorate}] + ($(Z0)+({asin(\d/0.2)}:0.2)$) + -- + ($(Z0)+({asin(\d/2.5)}:2.5)$); +\end{scope} + +\draw (Z0) circle[radius=0.05]; +\node at ($(Z0)+(-0.1,-0.1)$) [below left] {$z_0$}; + +\node[color=red] at (2.75,1) [above] {$l_1$}; +\node[color=red] at (2.75,1) [below] {$l_2$}; + +\node[color=red] at ($(Z0)+(45:2.5)$) [above right] {$\gamma_1$}; +\node[color=red] at ($(Z0)+(0,0.2)$) [above] {$\gamma_2$}; + +\end{tikzpicture} +\end{document} + |