252 lines
7.1 KiB
TeX
252 lines
7.1 KiB
TeX
\documentclass[a4paper]{article}
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\usepackage{array}
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\usepackage{adjustbox}
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\usepackage{bm}
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\usepackage{graphicx}
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\usepackage[left=3cm,right=3cm,top=3cm, bottom=3cm]{geometry}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{caption}
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\usepackage[headsepline, footsepline]{scrlayer-scrpage}
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\usepackage{enumerate}
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\usepackage{dsfont}
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\usepackage{float}
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\usepackage{ifthen}
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\usepackage[]{mathtools}
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\usepackage[]{mathbbol}
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\usepackage{multicol}
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\usepackage{pgfplots}
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\usepackage{enumitem}
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\usepackage[hidelinks]{hyperref}
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\usepackage[]{circuitikz}
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\usepackage{soul}
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\usepackage{tcolorbox} % Für schöne Boxen
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\usetikzlibrary{circuits.logic.IEC}
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\usepackage{tabularray}
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\usepackage{tikz}
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\usepackage{tkz-graph}
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\usepackage{tabularx}
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\usepackage{listings}
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\usepackage{xcolor}
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\usepackage{setspace}
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\usepackage{letltxmacro}
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\usepackage{wrapfig}
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\usetikzlibrary{calc}
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\setlist{itemsep=0.3em, topsep=0.5em, parsep=0pt}
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\newcommand{\bpf}[1]{%
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\par\vspace{0.8\baselineskip}% Abstand vor der Überschrift
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\noindent\textbf{#1}% Fettgedruckte Überschrift
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\par\vspace{0.3\baselineskip}% Abstand nach der Überschrift
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}
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\renewcommand{\contentsname}{Inhaltsverzeichnis}
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\renewcommand{\figurename}{Grafik}
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\renewcommand{\partname}{Teil}
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\renewcommand{\epsilon}{\varepsilon}
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\definecolor{darkgrey}{HTML}{232327}
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% Zählerdefinition mit AUTOMATISCHEM SUBSECTION-RESET
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\newcounter{commoncounter}[subsection]
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\renewcommand{\thecommoncounter}{\thesection.\arabic{commoncounter}}
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\usepackage{xparse}
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\newcommand{\answer}[1]{%
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\ifhmode\newline\newline\fi
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\foreach \n in {1,...,#1}{\noindent\rule{\linewidth}{0.4pt}\par\vspace{1em}}
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}
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\newcommand{\currentsection}{}
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\newcommand{\currentsubsection}{}
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\LetLtxMacro{\oldsection}{\section}
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\LetLtxMacro{\oldsubsection}{\subsection}
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\RenewDocumentCommand{\section}{s o m}{%
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\IfBooleanTF{#1}%
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{ \oldsection*{#3} }% Stern-Variante → unverändert
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{%
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\IfValueTF{#2}%
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{ \oldsection[#2]{#3} }% Optionales TOC-Argument
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{ \oldsection{#3} }%
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\renewcommand{\currentsection}{#3}%
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}%
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}
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\RenewDocumentCommand{\subsection}{s o m}{%
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\IfBooleanTF{#1}%
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{ \oldsubsection*{#3} }%
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{%
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\IfValueTF{#2}%
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{ \oldsubsection[#2]{#3} }%
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{ \oldsubsection{#3} }%
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\renewcommand{\currentsubsection}{#3}%
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}%
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}
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% Zähler direkt bei Dokumentstart initialisieren
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\AtBeginDocument{\setcounter{commoncounter}{0}}
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% BOX-DEFINITIONEN mit korrigierter Zählerlogik
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\newtcolorbox{definitionbox}[1][]{
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before title={\refstepcounter{commoncounter}}, % KRITISCH: vor dem Titel!
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title={Definition \thecommoncounter: #1},
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colback=white,
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colframe=white!75!darkgrey,
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fonttitle=\bfseries,
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boxrule=0.6mm,
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coltitle=black,
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rounded corners,
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before skip=10pt,
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after skip=10pt
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}
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\newtcolorbox{extrataskbox}[1][]{
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before title={\refstepcounter{commoncounter}}, % KRITISCH: vor dem Titel!
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title={Zusatzaufgabe: #1},
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colback=white,
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colframe=white!75!red,
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fonttitle=\bfseries,
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boxrule=0.6mm,
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coltitle=black,
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rounded corners,
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before skip=10pt,
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after skip=10pt
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}
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\newtcolorbox{merkbox}[1][]{
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title={Merken: #1},
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colback=white,
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colframe=white!75!red,
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fonttitle=\bfseries,
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boxrule=0.6mm,
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coltitle=black,
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rounded corners,
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before skip=10pt,
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after skip=10pt
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}
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\definecolor{SatzColor}{RGB}{66,133,244}
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\newtcolorbox{satzbox}[1][]{
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before title={\refstepcounter{commoncounter}}, % KRITISCH: vor dem Titel!
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title={Satz \thecommoncounter: #1},
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colback=SatzColor!5,
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colframe=white!75!SatzColor,
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fonttitle=\bfseries,
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boxrule=0.6mm,
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coltitle=black,
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rounded corners,
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before skip=10pt,
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after skip=10pt
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}
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\newcommand{\schnipsel}[2][4cm]{%
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\fbox{%
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\parbox[c][3em][c]{#1}{\centering #2}%
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}%
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}
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\definecolor{codegreen}{rgb}{0,0.6,0}
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\definecolor{codeblue}{rgb}{0,0,0.8}
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\definecolor{codered}{rgb}{0.8,0,0}
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\definecolor{lightgray}{rgb}{0.95,0.95,0.95}
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\lstdefinestyle{CStyle}{
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language=C,
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basicstyle=\ttfamily\small, % Monospace-Schrift
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keywordstyle=\color{blue}\bfseries, % Schlüsselwörter fett und blau
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stringstyle=\color{red}, % Strings rot
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commentstyle=\color{codegreen}, % Kommentare grün
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backgroundcolor=\color{lightgray}, % Hintergrundfarbe
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numbers=left, % Zeilennummern links
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numbersep=10px, % Abstand zwischen Zeilennummern und Code
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numberstyle=\color{gray}\texttt,
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stepnumber=1, % Zeilennummerierung Schrittweite 1
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frame=single, % Rahmen um den Code
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tabsize=4, % Tabulatorgröße
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breaklines=true, % Zeilenumbruch aktivieren
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captionpos=below,
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showstringspaces=false,
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xleftmargin=15pt, % Linker Rand für den Code (verschiebt alles nach rechts)
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}
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\lstdefinestyle{ShellStyle}{
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language=Bash,
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basicstyle=\ttfamily\small, % Monospace-Schrift
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keywordstyle=\color{black}, % Schlüsselwörter fett und blau
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stringstyle=\color{black}, % Strings rot
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commentstyle=\color{codegreen}, % Kommentare grün
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backgroundcolor=\color{lightgray}, % Hintergrundfarbe
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numbers=left, % Zeilennummern links
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numbersep=10px, % Abstand zwischen Zeilennummern und Code
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numberstyle=\color{gray}\texttt,
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stepnumber=1, % Zeilennummerierung Schrittweite 1
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frame=single, % Rahmen um den Code
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tabsize=4, % Tabulatorgröße
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breaklines=true, % Zeilenumbruch aktivieren
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captionpos=below,
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showstringspaces=false,
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xleftmargin=15pt, % Linker Rand für den Code (verschiebt alles nach rechts)
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}
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% Umgebung für Listings mit Titel und Zähler
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\newenvironment{codeexample}[1][]{
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\refstepcounter{commoncounter} % Zähler erhöhen
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\lstset{
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style=CSharpStyle,
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caption={Listing \thecommoncounter: #1}, % Titel mit Zähler
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label={listing:\thecommoncounter}
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}
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}{}
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\makeatletter
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% Internen Zähler von subsubsection auf commoncounter umbiegen
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\let\c@subsubsection\c@commoncounter
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% Anzeige der Nummer angleichen
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\renewcommand{\thesubsubsection}{\thecommoncounter}
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\makeatother
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\setlength{\parindent}{0pt}
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\sethlcolor{black!10} % Farbe des "Textmarkers"
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\newcommand{\curdate}{09.07.2026}
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\newcommand{\curtitle}{ZSG Movire Laplace}
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\title{\curtitle}
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\author{Fierke, Janik, Weidlich}
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\pagestyle{scrheadings}
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\date{\curdate}
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\begin{document}
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\ihead{\normalfont\normalsize Mathematik}
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\chead{\normalfont\normalsize \curtitle}
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\ohead{\normalfont\normalsize \curdate}
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\ofoot{\normalfont\normalsize Seite {\pagemark} von \pageref{LastPage}}
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\ifoot{\normalfont\normalsize Fierke, Janik, Weidlich}
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\section{\curtitle}
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Dieses Dokument liefert die Textbausteine für Aufgabe 3 von dem Arbeitsblatt: ``ZSG Movire-Laplace''
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\vspace{3em} \\
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\schnipsel[6cm]{$\frac{n!}{k!(n-k)!} p^k q^{n-k}$} \vspace{1em} \\
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\schnipsel[6cm]{$\frac{1}{\sqrt{2\pi npq}}e^{\left(-\frac{(k-np)^2}{2npq}\right)}$} \vspace{1em} \\
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\schnipsel[6cm]{$\frac{k-np}{\sqrt{npq}}$} \vspace{1em} \\
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\schnipsel[6cm]{$np + z\sqrt{npq}$} \vspace{1em} \\
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\schnipsel[6cm]{$nq - z\sqrt{npq}$} \vspace{1em} \\
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\schnipsel[8cm]{$\frac{1}{\sqrt{2\pi}}\sqrt{\frac{n}{n^2pq}} \left(\frac{np}{k}\right)^k \left(\frac{nq}{n-k}\right)^{n-k}$} \vspace{1em} \\
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\schnipsel[8cm]{$\frac{1}{\sqrt{2\pi}}\frac{1}{\sqrt{npq}} \left(\frac{np}{k}\right)^k \left(\frac{nq}{n-k}\right)^{n-k}$} \vspace{1em} \\
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\schnipsel[8cm]{$\frac{1}{\sqrt{2\pi npq}}e^{-\frac{\left(\frac{k-np}{\sqrt{npq}}\right)^2}{2}}$} \vspace{1em} \\
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\schnipsel[8cm]{$\frac{1}{\sqrt{2\pi npq}}e^{\left(-\frac{(k-np)^2}{2npq}\right)}$}
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\label{LastPage}
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\end{document} |