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Titelseite verändert; added acronyms page

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Martin Thoma 2014-01-30 13:35:55 +01:00
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9
documents/acronyms-example/Makefile Normal file
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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

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documents/acronyms-example/acronyms-example.tex Normal file
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\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}

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tikz/inversion-am-kreis/inversion-am-kreis.png
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tikz/inversion-am-kreis/inversion-am-kreis.tex
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\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}