\RequirePackage{ifluatex,ifpdf} \documentclass[ngerman,a4paper]{report} \usepackage[left=2.1cm,right=3.1cm,bottom=3cm]{geometry} \usepackage[ngerman]{babel} \ifpdf \usepackage[utf8]{inputenc} %not recommended with lualatex %\usepackage[T1]{fontenc} \fi \usepackage{zref-base} \usepackage{etoolbox} \usepackage{xparse}%better macros \usepackage{chngcntr} \usepackage{calc} \usepackage{scalerel,stackengine} \usepackage{tocloft} \ifluatex \usepackage{fontspec} %\usepackage{luacode} \fi \usepackage[texindy]{imakeidx} \indexsetup{ level=\chapter* } \makeindex[intoc] \makeindex[name=semester1,title={Symbolverzeichnis (1. Semester)}] \makeindex[name=semester2,title={Symbolverzeichnis (2. Semester)}] \makeindex[name=symbols,title=Symbolverzeichnis,intoc] \usepackage[xindy,acronym]{glossaries} \makeglossaries \usepackage[title,titletoc]{appendix} \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{pgfplots} \pgfplotsset{compat=1.10} \usepgfplotslibrary{fillbetween} \usepackage{pgf} \usepackage{tikz} \usetikzlibrary{patterns,arrows,calc,decorations.pathmorphing} \usetikzlibrary{matrix} \usepackage{color} \usepackage{wasysym} \usepackage{enumerate} \usepackage{enumitem} %customize label \usepackage{stmaryrd} % Lightning symbol \usepackage{tabularx} \usepackage{multirow} \usepackage{booktabs} \usepackage{ulem} %better underlines \usepackage{parskip}%split paragraphs by vspace instead of intendations \usepackage{fancyhdr} \usepackage{titlesec}%customize titles \usepackage{marginnote} \usepackage[amsmath,amsthm,thmmarks,hyperref]{ntheorem}%customize theorem-environments more effectively \usepackage[ntheorem,framemethod=TikZ]{mdframed} \usepackage[unicode,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=-0pt,% 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},% 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} \newtheorem{overview}[theorem]{Überblick} \newmdtheoremenv[% style=boxedtheorem,% topline=false,% rightline=false,% leftline=false, bottomline=false,% innertopmargin=\topskip,% innerbottommargin=\topskip,% backgroundcolor=lightgrey,% ]{*anmerkung}{Anmerkung} %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 \underline{##1}\theorem@separator}\hbox{\strut}}}]}% {\item[\rlap{\vbox{\hbox{\hskip\labelsep \theorem@headerfont \underline{##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}]} \newtheoremstyle{boldEnvironment}{}% {\item[\hskip\labelsep \textbf{##1\theorem@headerfont ##3\theorem@separator}]} \newtheoremstyle{proofstyle}% {\item[\hskip\labelsep {\theorem@headerfont ##1}\theorem@separator]}% {\item[\hskip\labelsep {\theorem@headerfont ##1}\ (##3)\theorem@separator]} \makeatother \theoremstyle{noparentheses} \newmdtheoremenv[% hidealllines=true,% innerleftmargin=1em,% innerbottommargin=0pt,% innerrightmargin=0,% skipbelow=0pt,% ]{interpretation}{\hspace*{\dimexpr - 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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} \newcommand{\lebesque}{\person{Lebesgue}} \renewcommand{\Re}{\mathfrak{Re}} \renewcommand{\Im}{\mathfrak{Im}} \renewcommand*{\arraystretch}{1.4} % Math Operators \DeclareMathOperator{\inn}{int} % Set of inner points \DeclareMathOperator{\ext}{ext} % Set of outer points \DeclareMathOperator{\cl}{cl} % Closure \DeclareMathOperator{\grad}{grad} \DeclareMathOperator{\D}{d} \DeclareMathOperator{\id}{id} \DeclareMathOperator{\graph}{graph} \DeclareMathOperator{\Int}{int} \DeclareMathOperator{\Ext}{ext} \DeclareMathOperator{\diam}{diam} %change headings: \titlelabel{\thetitle.\quad}%. behind section/sub... (3. instead of 3) \counterwithout{section}{chapter} \renewcommand{\thechapter}{\Roman{chapter}} \renewcommand{\thepart}{\Alph{part}} %italic chapters (due to titlesec package some more stuff) %\titleformat{command}[shape]{format}{label}{sep}{before-code}[after-code] \titleformat{\chapter}[display]{\bfseries}{\Large\chaptername\;\thechapter}{-5pt}{\huge\bfseries\itshape} \titlespacing{\chapter}{0pt}{0pt}{10pt} \titleformat{\section}[hang]{\bfseries\Large}{\thesection.}{8pt}{\Large\bfseries} %\titlespacing{command}{left}{before-sep}{after-sep} \titlespacing{\subsection}{0pt}{0pt}{5pt} %change appearence of heading of toc: 0 space above, bold, italic huge toc-heading \renewcommand{\cftbeforetoctitleskip}{0pt} \renewcommand{\cfttoctitlefont}{\itshape\Huge\bfseries} %change indentations due to width of capital roman numbers \renewcommand{\cftchapnumwidth}{2.5em} \renewcommand{\cftsecindent}{2.5em} %\renewcommand{\cftsecnumwidth}{3.3em} \renewcommand{\cftsubsecindent}{4.8em} %\renewcommand{\cftsubsecnumwidth}{4.2em} %change header: \renewcommand{\headrulewidth}{0.75pt} \renewcommand{\footrulewidth}{0.3pt} \lhead{\rightmark}%left: section-number. section-title \rhead{\leftmark}%right: chapter chapternumber: chapter-title % Add new page-style (just footer), patch \chapter command to use this page style \fancypagestyle{plainChapter}{% \fancyhf{}% \fancyfoot[C]{\thepage}% \renewcommand{\headrulewidth}{0pt}% Line at the header invisible \renewcommand{\footrulewidth}{0.4pt}% Line at the footer visible } \patchcmd{\chapter}{\thispagestyle{plain}}{\thispagestyle{plainChapter}}{}{} \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{fue}{f.ü.}{fast überall} \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} \newacronym{mws}{MWS}{Mittelwertsatz} \title{\textbf{Zusammenfassung Analysis SS2018}} \author{Dozent: Prof. Dr. Friedemann Schuricht\\ Kursassistenz: Moritz Schönherr} %remove page number from part{}-pages \makeatletter \let\sv@endpart\@endpart \def\@endpart{\thispagestyle{empty}\sv@endpart} \makeatother \begin{document} \pagenumbering{roman} \pagestyle{plain} \maketitle \hypertarget{tocpage}{} \tableofcontents \bookmark[dest=tocpage,level=1]{Inhaltsverzeichnis} \pagebreak \pagestyle{fancy} \pagenumbering{arabic} \chapter{Differentiation} \input{./TeX_files/Wiederholung_und_Motivation} \input{./TeX_files/Ableitung} \input{./TeX_files/Richtungsableitung} \input{./TeX_files/Mittelwertsatz} \input{./TeX_files/Stammfunktion} \chapter{Integration} \input{./TeX_files/Integration} \input{./TeX_files/Messbarkeit} \input{./TeX_files/Integral} \input{./TeX_files/Integral_R} \input{./TeX_files/Fubini} \chapter{Differentiation II} \input{./TeX_files/Taylor} \input{./TeX_files/Extremwerte} \input{./TeX_files/Inverse_implizite_Funktionen} \input{./TeX_files/Funktionsfolgen} \phantomsection\addcontentsline{toc}{part}{Anhang} \appendix \patchcmd{\chapter}{\thispagestyle{plainChapter}}{\thispagestyle{fancy}}{}{} %\titleformat{command}[shape]{format}{label}{sep}{before-code}[after-code] %\titlespacing{command}{left}{before-sep}{after-sep} \renewcommand{\chaptername}{Anhang} \renewcommand{\thechapter}{\Alph{chapter}} \titleformat{\chapter}[hang]{\bfseries}{\LARGE\chaptername\ \thechapter:}{0.5em}{\LARGE\bfseries} \titlespacing{\chapter}{0pt}{-0.75cm}{0pt} \renewcommand{\thesection}{\Alph{chapter}.\arabic{section}} %from ntheorem.sty %\def\thm@@thmline@name#1#2#3#4#5{% % \ifx\\#5\\% % \@dottedtocline{-2}{0em}{2.3em}% % {#1 \protect\numberline{#2}#3}% % {#4} % \else % \ifHy@linktocpage\relax\relax % \@dottedtocline{-2}{0em}{2.3em}% % {#1 \protect\numberline{#2}#3}% % {\hyper@linkstart{link}{#5}{#4}\hyper@linkend}% % \else % \@dottedtocline{-2}{0em}{2.3em}% % {\hyper@linkstart{link}{#5}% % {#1 \protect\numberline{#2}#3}\hyper@linkend}% % {#4}% % \fi % \fi %} \makeatletter %update ntheorem macro to provide space between theorem numbers and any optional comment \renewcommand{\thm@@thmline@name}[5]{% \def\thm@@thmline@name@tmp{% \if\relax\detokenize{#3}\relax% {:}% \else% {:\hspace*{1em}#3}% \fi% }% \ifx\\#5\\% \@dottedtocline{-2}{0em}{2.3em}% {#1 \protect\numberline{#2}{\thm@@thmline@name@tmp}}% {#4} \else \ifHy@linktocpage\relax\relax \@dottedtocline{-2}{0em}{2.3em}% {#1 \protect\numberline{#2}{\thm@@thmline@name@tmp}}% {\hyper@linkstart{link}{#5}{#4}\hyper@linkend}% \else \@dottedtocline{-2}{0em}{2.3em}% {% {#1 \protect\numberline{#2}{\thm@@thmline@name@tmp}}}% {\hyper@linkstart{link}{#5}{#4}\hyper@linkend}% \fi \fi } \makeatother \end{document}