blatt 5 und aufgabe 1

übung_5/ngutils.sty

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+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{ngutils}[2025/12/24 Never's LaTeX utils]
+
+\RequirePackage[ngerman]{babel}
+\RequirePackage{graphicx}
+\RequirePackage{tabularx}
+\RequirePackage{booktabs}
+\RequirePackage{listings}
+
+\lstnewenvironment{pseudocode}[1][] %defines the algorithm listing environment
+{
+    \renewcommand{\lstlistingname}{Algorithmus}
+    \lstset{ %this is the stype
+        mathescape=true,
+        columns=fullflexible,
+        basicstyle=\normalfont,
+        identifierstyle=\scshape,
+        keywordstyle=\bfseries,
+        keywords={, new, if, then, else, while, for, in, to, up, down, foreach, do, return},
+        commentstyle=\itshape,
+        comment=[l]//,
+        delim=[is][\normalfont]{|}{|},
+        tabsize=3,
+        frame=tb,
+        framerule=1pt,
+        #1 % this is to add specific settings to an usage of this environment (for instnce, the caption and referable label)
+    }
+}
+{}
+
+\newcommand{\seilpmi}{\Longleftarrow}
+
+\newcommand{\NN}{\mathbb{N}}
+\newcommand{\ZZ}{\mathbb{Z}}
+\newcommand{\QQ}{\mathbb{Q}}
+\newcommand{\RR}{\mathbb{R}}
+\newcommand{\CC}{\mathbb{C}}
+\newcommand{\PP}{\mathbb{P}}
+
+\newcommand{\Pe}{\mathrm{P}}
+\newcommand{\NPe}{\mathrm{NP}}
+
+\newcommand{\Oh}{\mathcal{O}}
+\newcommand{\oh}{\scriptstyle{\mathcal{O}}}
+
+\newcommand{\Eh}{\mathop{\mathrm{E}}}
+\newcommand{\Var}{\mathop{\mathrm{Var}}}
+\newcommand{\pot}{\mathop{\mathcal{P}}}
+\newcommand{\argmax}{\mathop{\mathrm{arg\,max}}}
+\newcommand{\argmin}{\mathop{\mathrm{arg\,min}}}
+
+\newcommand{\parens}[1]{\left(#1\right)}
+\newcommand{\brackets}[1]{\left[#1\right]}
+\newcommand{\braces}[1]{\left\{#1\right\}}
+\newcommand{\angled}[1]{\left\langle#1\right\rangle}
+
+\newcommand{\tup}[1]{\parens{#1}}
+\newcommand{\ivl}[1]{\brackets{#1}}
+\newcommand{\set}[1]{\braces{#1}}
+\newcommand{\arr}[1]{\angled{#1}}
+\newcommand{\abs}[1]{\lvert#1\rvert}
+\newcommand{\norm}[1]{\lVert#1\rVert}
+\newcommand{\ceil}[1]{\lceil#1\rceil}
+\newcommand{\floor}[1]{\lfloor#1\rfloor}
+
+\newcommand{\alg}[2]{{\normalfont\scshape#1}{\normalfont(#2)}}
+\newcommand{\algt}[1]{{\normalfont\scshape#1}}
+\newcommand{\com}[1]{{\normalfont\itshape/\!\!/ #1}}
+
+\newenvironment{algorithmic}[1][1em]{
+	\begin{minipage}[t]{\textwidth}
+		\bfseries
+		\begin{tabbing}
+			\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\hspace{#1}\=\kill
+			}{%
+		\end{tabbing}
+	\end{minipage}
+}
+
+\newlength{\theoremskip}
+\setlength{\theoremskip}{6em}
+
+\newcommand{\theoremfont}{\normalfont\bfseries}
+\newcommand{\definitionfont}{\normalfont\bfseries}
+
+\newenvironment{theoremic}[2][\theoremfont]{
+	{#1 #2}
+	\hfill
+	\begin{minipage}[t]{\the\dimexpr\linewidth-\theoremskip\relax}
+		}{
+	\end{minipage}
+}
+
+\newenvironment{theorem}{
+	\begin{theoremic}{Satz.}
+		}{
+	\end{theoremic}
+}
+
+\newenvironment{lemma}{
+	\begin{theoremic}{Lemma.}
+		}{
+	\end{theoremic}
+}
+
+\newenvironment{proof}{
+	\begin{theoremic}{Beweis.}
+		}{
+	\end{theoremic}
+}
+
+\newenvironment{definition}{
+	\begin{theoremic}[\definitionfont]{Definition.}
+		}{
+	\end{theoremic}
+}
+
+\newenvironment{example}{
+	\begin{theoremic}[\definitionfont]{Beispiel.}
+		}{
+	\end{theoremic}
+}
+
+