diff options
Diffstat (limited to 'buch/chapters/080-funktionentheorie/images')
| -rw-r--r-- | buch/chapters/080-funktionentheorie/images/Makefile | 6 | ||||
| -rw-r--r-- | buch/chapters/080-funktionentheorie/images/carlsonpath.pdf | bin | 0 -> 19485 bytes | |||
| -rw-r--r-- | buch/chapters/080-funktionentheorie/images/carlsonpath.tex | 59 | ||||
| -rw-r--r-- | buch/chapters/080-funktionentheorie/images/gammapfad.pdf | bin | 14664 -> 14664 bytes |
4 files changed, 64 insertions, 1 deletions
diff --git a/buch/chapters/080-funktionentheorie/images/Makefile b/buch/chapters/080-funktionentheorie/images/Makefile index 1ddd585..55be1f5 100644 --- a/buch/chapters/080-funktionentheorie/images/Makefile +++ b/buch/chapters/080-funktionentheorie/images/Makefile @@ -4,7 +4,8 @@ # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule # all: nonanalytic.pdf integralanalytisch.pdf laurent.pdf \ - fortsetzreziprok.pdf forts.pdf logforts.pdf gammapfad.pdf + fortsetzreziprok.pdf forts.pdf logforts.pdf gammapfad.pdf \ + carlsonpath.pdf nonanalytic.pdf: nonanalytic.tex pdflatex nonanalytic.tex @@ -27,3 +28,6 @@ logforts.pdf: logforts.tex gammapfad.pdf: gammapfad.tex pdflatex gammapfad.tex +carlsonpath.pdf: carlsonpath.tex + pdflatex carlsonpath.tex + diff --git a/buch/chapters/080-funktionentheorie/images/carlsonpath.pdf b/buch/chapters/080-funktionentheorie/images/carlsonpath.pdf Binary files differnew file mode 100644 index 0000000..6bc2671 --- /dev/null +++ b/buch/chapters/080-funktionentheorie/images/carlsonpath.pdf diff --git a/buch/chapters/080-funktionentheorie/images/carlsonpath.tex b/buch/chapters/080-funktionentheorie/images/carlsonpath.tex new file mode 100644 index 0000000..b8cc551 --- /dev/null +++ b/buch/chapters/080-funktionentheorie/images/carlsonpath.tex @@ -0,0 +1,59 @@ +% +% carlsonpath.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{darkgreen}{rgb}{0,0.6,0} + +\def\xh{0.001} +\def\r{4.6} +\pgfmathparse{asin(\xh/\r)} +\xdef\w{\pgfmathresult} + +\draw[->] (-1.1,0) -- (7.4,0) coordinate[label=$\operatorname{Re}z$]; +\draw[->] (0,-5.2) -- (0,5.4) coordinate[label={right:$\operatorname{Im}z$}]; + +\draw[->,color=red,line width=0.5pt] (0,0) -- (50:\r); +\node at (50:{0.7*\r}) [left] {$R$}; + +\node[color=red] at (-30:\r) [below right] {$C_1$}; + +\draw (-0.1,\r) -- (0.1,\r); +\draw (-0.1,-\r) -- (0.1,-\r); +\node at (-0.1,-\r) [left] {$-R$}; +\node at (-0.1,\r) [left] {$R$}; + +\draw[color=red,line width=1.4pt] + ({-90+\w}:\r) arc ({-90+\w}:{90-\w}:\r) + -- + cycle; +\draw[->,color=red,line width=1.4pt] (-30:\r) -- (-31:\r); +\draw[->,color=red,line width=1.4pt] (30:\r) -- (29:\r); +\draw[->,color=red,line width=1.4pt] (\xh,{0.5*\r}) -- (\xh,{0.5*\r+0.1}); +\draw[->,color=red,line width=1.4pt] (\xh,{-0.5*\r}) -- (\xh,{-0.5*\r+0.1}); + +\def\a{2.6} +\def\xstep{0.7} + +\foreach \k in {1,...,10}{ + \fill[color=blue] ({\k*\xstep},0) circle[radius=0.08]; + \node at ({\k*\xstep},0) [below] {$\k$}; +} + +\fill[color=darkgreen] (\a,0) circle[radius=0.08]; +\node[color=darkgreen] at (\a,0) [above] {$a$}; + +\end{tikzpicture} +\end{document} + diff --git a/buch/chapters/080-funktionentheorie/images/gammapfad.pdf b/buch/chapters/080-funktionentheorie/images/gammapfad.pdf Binary files differindex 13a6fc1..2a15007 100644 --- a/buch/chapters/080-funktionentheorie/images/gammapfad.pdf +++ b/buch/chapters/080-funktionentheorie/images/gammapfad.pdf |