latexandmore/Vorlesungen/ThProg/PumpingLemma.tex

	\documentclass{article}
	\usepackage{amsmath}
	\usepackage{ amssymb } % >= as \geq
	\usepackage{nccmath}
	%New Commands
	\newcommand{\xhspace}[0]{\noindent\hspace*{5mm}}
	\DeclareMathSizes{10}{10}{10}{10}
	\setlength{\parindent}{0pt}
	\title{Pumping Lemme f\"ur Regul\"are Sprachen}
	\date{ }
	\begin{document}
	\maketitle
	%----------------------------------%
	\textbf{L ist regul\"ar wenn:}
		\[		
			\forall l \geq 1\;.\, \exists w \in L\;mit\; |w|\geq l
		\]
	\textbf{sodass:}\\
		\xhspace	$\forall$ uvz \\
	\textbf{mit:}\\ 
		\xhspace	w=uvz\\
		\xhspace	$|$v$|$ $\geq$ 1\\
		\xhspace	$|$uv$|$ $\leq$ l\\
	\textbf{gilt:}\\
		\xhspace	u$v^{k}$z $\notin$ L 

	\begin{tiny}
	\copyright\ Joint-Troll-Expert-Group (JTEG) 2015
	\end{tiny}
\end{document}