mirror of
https://github.com/MartinThoma/LaTeX-examples.git
synced 2025-04-19 11:38:05 +02:00
7740f0147f
The commands
find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+
and
find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+
were used to do so.
41 lines
1.6 KiB
TeX
41 lines
1.6 KiB
TeX
\documentclass[a4paper]{scrartcl}
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\usepackage{amssymb, amsmath} % needed for math
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\usepackage[utf8]{inputenc} % this is needed for umlauts
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\usepackage[ngerman]{babel} % this is needed for umlauts
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\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
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\usepackage[margin=2.5cm]{geometry} %layout
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\usepackage{hyperref} % links im text
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\usepackage{parskip}
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\title{Minimal distance to a cubic function}
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\author{Martin Thoma}
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\hypersetup{
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pdfauthor = {Martin Thoma},
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pdfkeywords = {},
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pdftitle = {}
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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Begin document %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{document}
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\maketitle
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\begin{abstract}
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In this paper I want to discuss how to find the minimal distance of a
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point $P = (x_p, y_p)$ to a cubic function $f: \mathbb{R} \rightarrow \mathbb{R}$,
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$f(x) = a \cdot x^3 + b \cdot x^2 + c \cdot x + d$.
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So I search for $x \in \mathbb{R}$ such that \dots
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\end{abstract}
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\section{Minimal distance constant function}
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Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla
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quam elit, vestibulum nec facilisis at, condimentum id enim. Sed
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iaculis lacinia quam, vel accumsan eros tempor in. Integer ipsum
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metus, accumsan sit amet commodo a, egestas vitae sem. Mauris ut
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orci ut dolor viverra convallis nec a erat. Aenean consequat elit
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vel eros fermentum vestibulum id at ipsum. In vitae orci mauris, et
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rhoncus odio. Pellentesque habitant morbi tristique senectus et netus
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et malesuada fames ac turpis egestas.
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\end{document}
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