\RequirePackage{ifluatex} \documentclass[ngerman,a4paper]{report} \usepackage[left=2.1cm,right=3.1cm]{geometry} \usepackage[ngerman]{babel} %\usepackage[utf8]{inputenc} %not recommended with lualatex \usepackage{zref-base} \usepackage{etoolbox} \usepackage{xparse}%better macros \usepackage{chngcntr} \usepackage{calc} \usepackage{scalerel,stackengine} \usepackage[T1]{fontenc} \ifluatex \usepackage{fontspec} \fi \usepackage[texindy]{imakeidx} \makeindex[name=semester1,title={Symbolverzeichnis (1. Semester)}] \makeindex[name=semester2,title={Symbolverzeichnis (2. Semester)}] \makeindex[name=symbols,title=Symbolverzeichnis] \usepackage[xindy,acronym]{glossaries} \makeglossaries \usepackage{amsmath} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{mathtools} \usepackage{latexsym} \usepackage{marvosym} %lighning \usepackage{bbm} %unitary matrix 1 \usepackage{cancel} \usepackage{xfrac}%sfrac -> fractions e.g. 3/4 \usepackage[table]{xcolor} \usepackage{graphicx} \usepackage{enumerate} \usepackage{enumitem} %customize label \usepackage{tabularx} \usepackage{multirow} \usepackage{booktabs} \usepackage{ulem} %better underlines \usepackage{parskip}%split paragraphs by vspace instead of intendations \usepackage{tocloft} \usepackage{fancyhdr} \usepackage{titlesec}%customize titles \usepackage{marginnote} \usepackage[amsthm,thmmarks,hyperref]{ntheorem}%customize theorem-environments more effectively \usepackage[ntheorem,framemethod=TikZ]{mdframed} \usepackage[bookmarks=true]{hyperref} \hypersetup{ colorlinks, citecolor=green, filecolor=green, linkcolor=blue, urlcolor=green } \usepackage{cleveref} \usepackage{bookmark} \newcommand{\coloredRule}[3][black]{\textcolor{#1}{\rule{#2}{#3}}} \newlength{\blacktrianglewidth} \settowidth{\blacktrianglewidth}{$\blacktriangleright$} \definecolor{lightgrey}{gray}{0.91} \definecolor{lightred}{rgb}{1,0.6,0.6} \definecolor{darkgrey}{gray}{0.6} \definecolor{darkgreen}{rgb}{0,0.6,0} %numbered theorems \theoremstyle{break} \theorembodyfont{} \mdfdefinestyle{boxedtheorem}{% outerlinewidth=3pt,% skipabove=5pt,% skipbelow=10pt,% frametitlefont=\normalfont\bfseries\color{black},% } \newmdtheoremenv[% style=boxedtheorem,% innertopmargin=\topskip,% innerbottommargin=\topskip,% linecolor=darkgrey,% backgroundcolor=lightgrey,% ]{theorem}{Theorem}[section] \newmdtheoremenv[% style=boxedtheorem,% linecolor=darkgrey,% topline=false,% rightline=false,% bottomline=false,% innertopmargin=\topskip,% innerbottommargin=\topskip,% backgroundcolor=lightgrey,% ]{proposition}[theorem]{Satz} \newmdtheoremenv[% style=boxedtheorem,% linecolor=darkgrey,% topline=false,% rightline=false,% bottomline=false,% backgroundcolor=lightgrey,% innertopmargin=\topskip,% innerbottommargin=\topskip,% ]{lemma}[theorem]{Lemma} \newmdtheoremenv[% style=boxedtheorem,% linecolor=red,% topline=false,% rightline=false,% bottomline=false,% innertopmargin=0,% innerbottommargin=-3pt,% ]{definition}[theorem]{Definition} \newmdtheoremenv[% outerlinewidth=3pt,% linecolor=black,% topline=false,% rightline=false,% bottomline=false,% innertopmargin=0pt,% innerbottommargin=-3pt,% frametitlefont=\normalfont\bfseries\color{black},% skipabove=5pt,% skipbelow=10pt,% ]{conclusion}[theorem]{Folgerung} \newmdtheoremenv[% hidealllines=true,% frametitlefont=\normalfont\bfseries\color{black},% innerleftmargin=0pt,% skipabove=5pt,% innerleftmargin=10pt,% ]{remark}[theorem]{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung} \newmdtheoremenv[% hidealllines=true,% frametitlefont=\normalfont\bfseries\color{black},% innerleftmargin=10pt,% ]{example}[theorem]{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel} %unnumbered theorems \theoremstyle{nonumberbreak} \theoremindent0cm \newmdtheoremenv[% style=boxedtheorem,% linecolor=red,% topline=false,% rightline=false,% bottomline=false,% innertopmargin=1pt,% innerbottommargin=1pt,% ]{*definition}{Definition} \newmdtheoremenv[% hidealllines=true,% frametitlefont=\normalfont\bfseries\color{black},% innerleftmargin=0pt,% skipabove=5pt,% innerleftmargin=10pt,% ]{*remark}{\hspace*{-10pt}$\blacktriangleright$\hspace*{\dimexpr 10pt - \blacktrianglewidth\relax}Bemerkung} \newmdtheoremenv[% hidealllines=true,% innerleftmargin=10pt,% ]{*example}{\hspace*{-10pt}\rule{5pt}{5pt}\hspace*{5pt}Beispiel} %Hinweis-Theoremstyle and environment %To get rid of the parentheses, a new theorem style is neccessary (definition of nonumberbreak from ntheorem.sty) %to achieve the underlining, this needed to put in the theoremstyle definition \theoremheaderfont{\mdseries} \theoremseparator{:} \theorempostskip{0pt} \makeatletter \newtheoremstyle{noparentheses}% {\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont \uline{##1}\theorem@separator}\hbox{\strut}}}]}% {\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont \uline{##1\ ##3\theorem@separator}}\hbox{\strut}}}]} \newtheoremstyle{underlinedPlain}% {\item[\hskip\labelsep \uline{\theorem@headerfont ##1\theorem@separator}]}% {\item[\hskip\labelsep \uline{\theorem@headerfont ##1\ \theorem@headerfont(##3)\theorem@separator}]} \newtheoremstyle{underlinedEnvironment}{}% {\item[\hskip\labelsep \uline{##1\theorem@headerfont ##3\theorem@separator}]} \makeatother \theoremstyle{noparentheses} \newmdtheoremenv[% hidealllines=true,% innerleftmargin=1em,% innerbottommargin=0pt,% innerrightmargin=0,% skipbelow=0pt,% ]{interpretation}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Interpretation} \theoremstyle{underlinedPlain} \newmdtheoremenv[% hidealllines=true,% innerleftmargin=1em,% innerrightmargin=0,% skipbelow=0pt,% ]{hint}{\hspace*{\dimexpr - \mdflength{innerleftmargin}\relax}Hinweis} \theoremstyle{underlinedEnvironment} \newmdtheoremenv[% hidealllines=true,% innerleftmargin=1em,% innerrightmargin=0,% skipbelow=0pt,% ]{underlinedenvironment}{\hspace*{\dimexpr -\mdflength{innerleftmargin}\relax}} \theoremstyle{underlinedPlain} \theoremheaderfont{\normalfont\bfseries} \theorembodyfont{\small} \theoremseparator{:} \theorempreskip{5pt} \theoremsymbol{$\blacksquare$} \renewtheorem{proof}{Beweis} %for \cref: printed environment names \crefname{theorem}{Theorem}{Theoreme} \crefname{proposition}{Satz}{Sätze} \crefname{lemma}{Lemma}{Lemmata} \crefname{conclusion}{Folgerung}{Folgerungen} \crefname{definition}{Definition}{Definitionen} \crefname{remark}{Bemerkung}{Bemerkungen} \crefname{example}{Beispiel}{Beispiele} \crefname{*definition}{Definition}{Definitionen} \crefname{*remark}{Bemerkung}{Bemerkungen} \crefname{*example}{Beispiel}{Beispiele} \makeatletter \newcommand*{\rom}[1]{\expandafter\@slowromancap\romannumeral #1@} \newcommand*{\proplbl}[1]{% \@bsphack \begingroup \label{#1}% \zref@setcurrent{default}{\arabic{chapter}}% % \zref@wrapper@immediate{% \zref@labelbyprops{#1@chapter}{default} % } \endgroup \@esphack } \newcommand*{\propref}[1]{% \ifcsdef{r@#1}%in first compilation the label may not be defined yet {% \zref@refused{#1@chapter}% \ifnumcomp{\value{chapter}}{=}{\zref@extractdefault{#1@chapter}{default}{0}}% {%same chapter \mbox{\cref{#1}}% }% {%otherwise \def\propositionref@current@type{}% \cref@gettype{#1}{\propositionref@current@type}%get the environment's name %example for following line: %\crefformat{truetheorem}{\cref@truetheorem@name~##2\rom{\zref@extractdefault{#1}{#1chapter}{1}}.##1##3} %this changes the format used by \cref to .. \crefformat{\propositionref@current@type}{% \csname cref@\propositionref@current@type @name\endcsname ~##2\rom{\zref@extractdefault{#1@chapter}{default}{1}}.##1##3% }% \mbox{\cref{#1}}% \crefformat{\propositionref@current@type}{% \csname cref@\propositionref@current@type @name\endcsname~##2##1##3% }% }% }% {??}%similar to \ref\cref: question marks in case of undefined labels } \makeatother \NewDocumentCommand{\begriff}{s O{} m O{}}{% \IfBooleanTF{#1}% {\index{#2#3#4}}% {% \uline{#3}% \ifnumcomp{\value{chapter}}{<}{16}% {\index[semester1]{#2#3#4}}% {\index[semester2]{#2#3#4}}% }% } \NewDocumentCommand{\mathsymbol}{s O{} m m O{}}{% \IfBooleanTF{#1}% {\index[symbols]{#2#3@\detokenize{#4}#5}}% {#4\index[symbols]{#2#3@\detokenize{#4}#5}}% } \NewDocumentCommand{\zeroAmsmathAlignVSpaces}{s s O{0 pt} O{0 pt}}{% \IfBooleanTF{#1}% {% \IfBooleanTF{#2}% {\setlength{\belowdisplayskip}{#4}}% {\setlength{\abovedisplayskip}{#3}}% }% {% \setlength{\abovedisplayskip}{#3}% \setlength{\belowdisplayskip}{#4}% }% } \NewDocumentCommand{\transpose}{m}{\ensuremath{#1^\mathsf{T}}} \NewDocumentCommand{\itemEq}{s m}{% \begingroup% \setlength{\abovedisplayskip}{\dimexpr -\parskip + 1pt\relax}% \setlength{\belowdisplayskip}{0pt}% \IfBooleanTF{#1}% {\parbox[c]{\linewidth}{\begin{flalign*}#2&&\end{flalign*}}}%} {\parbox[c]{\linewidth}{\begin{flalign}#2&&\end{flalign}}}%} \endgroup% } \newcommand\equalhat{\mathrel{\stackon[1.5pt]{=}{\stretchto{% \scalerel*[\widthof{=}]{\wedge}{\rule{1ex}{3ex}}}{0.5ex}}}} %General newcommands! \newcommand{\comp}{\mathbb{C}} % complex set C \newcommand{\real}{\mathbb{R}} % real set R \newcommand{\whole}{\mathbb{Z}} % whole number Symbol \newcommand{\natur}{\mathbb{N}} % natural number Symbol \newcommand{\ratio}{\mathbb{Q}} % rational number symbol \newcommand{\field}{\mathbb{K}} % general field for the others above! \newcommand{\diff}{\mathrm{d}} % differential d \newcommand{\s}{\,\,} % space after the function in the intergral \newcommand{\cont}{\mathcal{C}} % Contour C \newcommand{\fuk}{f(z) \s\diff z} % f(z) dz \newcommand{\diffz}{\s\diff z} \newcommand{\subint}{\int\limits} % lower boundaries for the integral \newcommand{\poly}{\mathcal{P}} % special P - polygon \newcommand{\defi}{\mathcal{D}} % D for the domain of a function \newcommand{\cover}{\mathcal{U}} % cover for a set \newcommand{\setsys}{\mathcal{M}} % set system M \newcommand{\setnys}{\mathcal{N}} % set system N \newcommand{\zetafunk}{f(\zeta)\s\diff \zeta} %f(zeta) d zeta \newcommand{\ztfunk}{f(\zeta)} % f(zeta) \newcommand{\bocirc}{S_r(z)} \newcommand{\prop}{\,|\,} \newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}} %tombstone \newcommand{\emptybra}{\{\varnothing\}} % empty set with set-bracket \newcommand{\realpos}{\real_{>0}} \newcommand{\realposr}{\real_{\geq0}} \newcommand{\naturpos}{\natur_{>0}} \newcommand{\Imag}{\operatorname{Im}} % Imaginary symbol \newcommand{\Realz}{\operatorname{Re}} % Real symbol \newcommand{\norm}{\Vert \cdot \Vert} \newcommand{\metric}{\vert \cdot \vert} \newcommand{\foralln}{\forall n} %all n \newcommand{\forallnset}{\forall n \in \natur} %all n € |N \newcommand{\forallnz}{\forall n \geq _0} % all n >= n_0 \newcommand{\conjz}{\overline{z}} % conjugated z \newcommand{\tildz}{\tilde{z}} % different z \newcommand{\lproofar}{"`$ \Leftarrow $"'} % "`<="' \newcommand{\rproofar}{"`$ \Rightarrow $"'} % "`=>"' \newcommand{\beha}{\Rightarrow \text{ Behauptung}} \newcommand{\powerset}{\mathcal{P}} \newcommand{\person}[1]{\textsc{#1}} \newcommand{\highlight}[1]{\emph{#1}} \newcommand{\realz}{\mathfrak{Re}} \newcommand{\imagz}{\mathfrak{Im}} \renewcommand{\epsilon}{\varepsilon} \renewcommand{\phi}{\varphi} % Math Operators \DeclareMathOperator{\inn}{int} % Set of inner points \DeclareMathOperator{\ext}{ext} % Set of outer points \DeclareMathOperator{\cl}{cl} % Closure \DeclareMathOperator{\grad}{grad} %change headings: \titlelabel{\thetitle.\quad}%. behind section/sub... (3. instead of 3) \counterwithout{section}{chapter} \renewcommand{\thechapter}{\Roman{chapter}} %italic chapters (due to titlesec package some more stuff) \titleformat{\chapter}[display]{\huge\bfseries\itshape}{\chaptername\;\thechapter:}{-5pt}{\huge\bfseries} \titlespacing{\chapter}{0pt}{0pt}{10pt} \titleformat{\section}[hang]{\bfseries\Large}{\thesection.}{8pt}{\Large\bfseries} \titlespacing{\subsection}{0pt}{*}{5pt} %change header: \renewcommand{\headrulewidth}{0.75pt} \renewcommand{\footrulewidth}{0.3pt} \lhead{\rightmark}%left: section-number. section-title \rhead{\leftmark}%right: chapter chapternumber: chapter-title %change appearence of heading of toc: 0 space above, bold, italic huge toc-heading \renewcommand{\cftbeforetoctitleskip}{0pt} \renewcommand{\cfttoctitlefont}{\itshape\Huge\bfseries} \pagestyle{fancy} \pagenumbering{arabic} %remember chapter-title in \leftmark and \rightmark \renewcommand{\chaptermark}[1]{% \markboth{\chaptername \ \thechapter:\ #1}{}} %remember section title in \leftmark \renewcommand{\sectionmark}[1]{% \markright{\thesection.\ #1}{}} %change numbering of equations to be section by section \counterwithout{equation}{section} \newacronym{gdw}{gdw.}{genau dann wenn} \newacronym{fa}{fa.}{fast alle} \newacronym{obda}{oBdA}{ohne Beschränkung der Allgemeinheit} \newacronym{tf}{TF}{\begriff{Teilfolge}} \newacronym{hw}{Hw}{\begriff{Häufungswert}} \newacronym{cf}{CF}{\begriff{\person{Cauchy}-Folge}} \newacronym{hp}{HP}{\begriff{Häufungspunkt}} \newacronym{vr}{VR}{Vektorraum} \newacronym{diffbar}{diffbar}{differenzierbar} \title{\textbf{Analysis 2. Semester (SS2018)}} \author{Dozent: Prof. Dr. Friedemann Schuricht\\ Kursassistenz: Moritz Schönherr} \begin{document} \pagenumbering{roman} \pagestyle{plain} \maketitle \tableofcontents \pagebreak \pagestyle{fancy} \pagenumbering{arabic} \chapter{Test} \begin{proposition} \proplbl{aeqv_norm} \proplbl{chap_15_5} \proplbl{defLinearFunction} \proplbl{einseitige_grenzwerte} \proplbl{lemma_13_10} \proplbl{additionstheoreme} Test für Labels. \end{proposition} \setcounter{section}{15} \setcounter{chapter}{4} \chapter{Differentiation} \include{./TeX_files/Wiederholung_und_Motivation} \include{./TeX_files/Ableitung} \include{./TeX_files/Richtungsableitung} \include{./TeX_files/Integration} \include{./TeX_files/Differentiation_2} \end{document}