Titelseite verändert; added acronyms page

documents/acronyms-example/Makefile

@@ -0,0 +1,9 @@
+SOURCE = acronyms-example
+make:
+	pdflatex $(SOURCE).tex -output-format=pdf
+	pdflatex $(SOURCE).tex -output-format=pdf
+	pdflatex $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.out

documents/acronyms-example/acronyms-example.tex

@@ -0,0 +1,90 @@
+\documentclass[a4paper]{scrartcl}
+\usepackage{amssymb, amsmath} % needed for math
+\usepackage[utf8]{inputenc} % this is needed for umlauts
+\usepackage[ngerman]{babel} % this is needed for umlauts
+\usepackage[T1]{fontenc}    % this is needed for correct output of umlauts in pdf
+\usepackage[margin=2.5cm]{geometry} %layout
+\usepackage{hyperref}   % links im text
+\usepackage{acronym}
+
+\title{Minimal distance to a cubic function}
+\author{Martin Thoma}
+
+\hypersetup{ 
+  pdfauthor   = {Martin Thoma}, 
+  pdfkeywords = {}, 
+  pdftitle    = {} 
+} 
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Begin document                                                    %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{document}
+\maketitle
+\begin{abstract}
+In this paper I want to discuss how to find the minimal distance of a
+point $P = (x_p, y_p)$ to a cubic function $f: \mathbb{R} \rightarrow \mathbb{R}$, 
+$f(x) = a \cdot x^3 + b \cdot x^2 + c \cdot x + d$.
+
+So I search for $x \in \mathbb{R}$ such that \dots
+\end{abstract}
+
+\section{Minimal distance constant function}
+Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla 
+quam elit, vestibulum nec facilisis at, condimentum id enim. Sed 
+iaculis lacinia quam, vel \ac{KDE} accumsan eros tempor in. Integer ipsum 
+metus, accumsan sit amet commodo a, egestas vitae sem. Mauris ut 
+orci ut dolor viverra convallis \ac{KDE} nec a erat. Aenean consequat elit 
+vel eros fermentum vestibulum id at ipsum. In vitae orci mauris, et 
+rhoncus odio. Pellentesque habitant morbi tristique senectus et netus 
+et malesuada fames ac turpis egestas.
+\clearpage
+\begin{acronym}[SQL]
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+ \acro{KDE}{K Desktop Environment}
+ \acro{SQL}{Structured Query Language}
+ \acro{Bash}{Bourne-again shell}
+\end{acronym}
+
+\end{document}

tikz/inversion-am-kreis/inversion-am-kreis.tex

@@ -9,22 +9,25 @@
     \tkzSetUpLine[line width=1]
     \tkzInit[xmax=1.2,ymax=1,xmin=-1.2,ymin=0]
     \pgfmathsetmacro{\Radius}{1}
-    \tkzDefPoints{0.9/0.7/Z, 0/0/O, 0/1/i}
+    \tkzDefPoints{2.0/1.0/Z, 0/0/O, 0/1/i}
 
     %% Konstruktion von 1/ \overline{z} und -1/ \overline{z}
     \tkzTangent[from with R = Z,/tikz/overlay](O,\Radius cm)  \tkzGetPoints{T1}{T2}
     \tkzInterLL(T1,T2)(O,Z) \tkzGetPoint{dZ}
     \tkzDefPointBy[reflection = over O--i](dZ) \tkzGetPoint{ndZ}
+    \tkzDefPointBy[symmetry = center O](dZ) \tkzGetPoint{other}
     %%
 
     \tkzDrawArc[R,line width=1pt,color=orange](O,\Radius cm)(0,180)
     \tkzAxeXY
 
-    \tkzDrawPoints(Z, dZ, ndZ)
-    \tkzLabelPoint[right](Z){$Z = r \cdot e^{\iu \varphi}$}
-    \tkzLabelPoint[left](dZ){$\frac{1}{\overline{z}} = \frac{1}{r} \cdot e^{-\iu \varphi}$}
-    \tkzLabelPoint[below left](ndZ){$-\frac{1}{\overline{z}}$}
+    \tkzDrawPoints(Z, dZ, ndZ, other)
+    \tkzLabelPoint[left](Z){$z = r \cdot e^{\iu \varphi}$}
+    \tkzLabelPoint[below](other){$-\frac{1}{\overline{z}}$}
+    \tkzLabelPoint[below right](dZ){$\frac{1}{\overline{z}} = \frac{1}{r} \cdot e^{\iu \varphi}$}
+    \tkzLabelPoint[above left](ndZ){?}
     \tkzDrawSegments[dashed](O,Z)
     \tkzDrawSegments[dashed](O,ndZ)
+    \tkzDrawSegments[dashed](O,other)
 \end{tikzpicture}
 \end{document}