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\documentclass[a4paper]{scrartcl}1\usepackage{amssymb, amsmath} % needed for math2\usepackage[utf8]{inputenc} % this is needed for umlauts3\usepackage[ngerman]{babel} % this is needed for umlauts4\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf5\usepackage[margin=2.5cm]{geometry} %layout6\usepackage{hyperref} % links im text7\usepackage{acronym}89\title{Minimal distance to a cubic function}10\author{Martin Thoma}1112\hypersetup{13pdfauthor = {Martin Thoma},14pdfkeywords = {},15pdftitle = {}16}1718%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%19% Begin document %20%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%21\begin{document}22\maketitle23\begin{abstract}24In this paper I want to discuss how to find the minimal distance of a25point $P = (x_p, y_p)$ to a cubic function $f: \mathbb{R} \rightarrow \mathbb{R}$,26$f(x) = a \cdot x^3 + b \cdot x^2 + c \cdot x + d$.2728So I search for $x \in \mathbb{R}$ such that \dots29\end{abstract}3031\section{Minimal distance constant function}32Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nulla33quam elit, vestibulum nec facilisis at, condimentum id enim. Sed34iaculis lacinia quam, vel \ac{KDE} accumsan eros tempor in. Integer ipsum35metus, accumsan sit amet commodo a, egestas vitae sem. Mauris ut36orci ut dolor viverra convallis \ac{KDE} nec a erat. Aenean consequat elit37vel eros fermentum vestibulum id at ipsum. In vitae orci mauris, et38rhoncus odio. Pellentesque habitant morbi tristique senectus et netus39et malesuada fames ac turpis egestas.40\clearpage41\twocolumn42\begin{acronym}[SQL]43\acro{KDE}{K Desktop Environment}44\acro{SQL}{Structured Query Language}45\acro{Bash}{Bourne-again shell}46\acro{KDE}{K Desktop Environment}47\acro{SQL}{Structured Query Language}48\acro{Bash}{Bourne-again shell}49\acro{KDE}{K Desktop Environment}50\acro{SQL}{Structured Query Language}51\acro{Bash}{Bourne-again shell}52\acro{KDE}{K Desktop Environment}53\acro{SQL}{Structured Query Language}54\acro{Bash}{Bourne-again shell}55\acro{KDE}{K Desktop Environment}56\acro{SQL}{Structured Query Language}57\acro{Bash}{Bourne-again shell}58\acro{KDE}{K Desktop Environment}59\acro{SQL}{Structured Query Language}60\acro{Bash}{Bourne-again shell}61\acro{KDE}{K Desktop Environment}62\acro{SQL}{Structured Query Language}63\acro{Bash}{Bourne-again shell}64\acro{KDE}{K Desktop Environment}65\acro{SQL}{Structured Query Language}66\acro{Bash}{Bourne-again shell}67\acro{KDE}{K Desktop Environment}68\acro{SQL}{Structured Query Language}69\acro{Bash}{Bourne-again shell}70\acro{KDE}{K Desktop Environment}71\acro{SQL}{Structured Query Language}72\acro{Bash}{Bourne-again shell}73\acro{KDE}{K Desktop Environment}74\acro{SQL}{Structured Query Language}75\acro{Bash}{Bourne-again shell}76\acro{KDE}{K Desktop Environment}77\acro{SQL}{Structured Query Language}78\acro{Bash}{Bourne-again shell}79\acro{KDE}{K Desktop Environment}80\acro{SQL}{Structured Query Language}81\acro{Bash}{Bourne-again shell}82\acro{KDE}{K Desktop Environment}83\acro{SQL}{Structured Query Language}84\acro{Bash}{Bourne-again shell}85\acro{KDE}{K Desktop Environment}86\acro{SQL}{Structured Query Language}87\acro{Bash}{Bourne-again shell}88\end{acronym}89\onecolumn90\end{document}919293