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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
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- 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
- \twocolumn
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- \end{acronym}
- \onecolumn
- \end{document}
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