intial commit

.gitignore

@@ -0,0 +1,9 @@
+*.aux
+*.log
+*.fdb_latexmk
+*.toc
+*.synctex.*
+*.fls
+*.out
+*.pdf
+!analysisII.pdf

lecture.cls

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+\ProvidesClass{lecture}
+\LoadClass[a4paper]{book}
+
+\RequirePackage[utf8]{inputenc}
+\RequirePackage[T1]{fontenc}
+\RequirePackage{textcomp}
+\RequirePackage[ngerman]{babel}
+\RequirePackage{amsmath, amssymb, amsthm}
+\RequirePackage{mdframed}
+\RequirePackage{geometry}
+\RequirePackage{import}
+\RequirePackage{pdfpages}
+\RequirePackage{transparent}
+\RequirePackage{xcolor}
+\RequirePackage{array}
+\RequirePackage[shortlabels]{enumitem}
+\RequirePackage{tikz}
+\RequirePackage{pgfplots}
+\RequirePackage[pagestyles, nobottomtitles]{titlesec}
+\RequirePackage{listings}
+\RequirePackage{mathtools}
+\RequirePackage{forloop}
+\RequirePackage{totcount}
+\RequirePackage[hidelinks, unicode]{hyperref} %[unicode, hidelinks]{hyperref}
+\RequirePackage{bookmark}
+\RequirePackage{wasysym}
+\RequirePackage{environ}
+\RequirePackage{stackrel}
+\RequirePackage{subcaption}
+
+\usetikzlibrary{quotes, angles, math}
+\pgfplotsset{
+    compat=1.15,
+    default 2d plot/.style={%
+        grid=both,
+        minor tick num=4,
+        grid style={line width=.1pt, draw=gray!10},
+        major grid style={line width=.2pt,draw=gray!50},
+        axis lines=middle,
+        enlargelimits={abs=0.2}
+    },
+}
+
+\geometry{
+    bottom=35mm
+}
+
+%\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}
+\DeclareOption{uebung}{
+    \makeatletter
+    \lhead{\@title}
+    \rhead{\@author}
+    \makeatother
+}
+\ProcessOptions\relax
+
+% PARAGRAPH no indent but skip
+\setlength{\parskip}{3mm}
+\setlength{\parindent}{0mm}
+
+\theoremstyle{definition}
+\newmdtheoremenv{satz}{Satz}[chapter]
+\newmdtheoremenv{lemma}[satz]{Lemma}
+\newmdtheoremenv{korollar}[satz]{Korollar}
+\newmdtheoremenv{definition}[satz]{Definition}
+
+\newtheorem{bsp}[satz]{Beispiel}
+\newtheorem{bem}[satz]{Bemerkung}
+\newtheorem{aufgabe}{Aufgabe}
+
+% enable aufgaben counting
+\regtotcounter{aufgabe}
+
+\newcommand{\N}{\mathbb{N}}
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\Z}{\mathbb{Z}}
+\newcommand{\Q}{\mathbb{Q}}
+\renewcommand{\C}{\mathbb{C}}
+
+% HEADERS
+
+%\newpagestyle{main}[\small]{
+%  \setheadrule{.55pt}%
+%  \sethead[\thepage]%  even-left
+%          []%                              even-center
+%          [\thechapter~\chaptertitle]%     even-right
+%          {\thesection~\sectiontitle}%     odd-left
+%          {}%                              odd-center
+%          {\thepage}%  odd-right
+%}
+%\pagestyle{main}
+
+\newcommand{\incfig}[1]{%
+    \def\svgwidth{\columnwidth}
+    \import{./figures/}{#1.pdf_tex}
+}
+\pdfsuppresswarningpagegroup=1
+
+% horizontal rule
+\newcommand\hr{
+    \noindent\rule[0.5ex]{\linewidth}{0.5pt}
+}
+
+% punkte tabelle
+\newcommand{\punkte}{
+    \@punkten{\totvalue{aufgabe}}
+}
+
+\def\@punkten#1{
+    \newcounter{n}
+    \begin{tabular}{|c|*{#1}{m{1cm}|}m{1cm}|@{}m{0cm}@{}}
+        \hline
+        Aufgabe
+        \forloop{n}{1}{\not{\value{n} > #1}}{
+            & \centering A\then
+        }
+        & \centering $\sum$ & \\[5mm] \hline
+        Punkte
+        \forloop{n}{1}{\not{\value{n} > #1}}{
+            &
+        }
+        & & \\[5mm] \hline
+    \end{tabular}
+}
+
+% code listings, define style
+\lstdefinestyle{mystyle}{
+    commentstyle=\color{gray},
+    keywordstyle=\color{blue},
+    numberstyle=\tiny\color{gray},
+    stringstyle=\color{black},
+    basicstyle=\ttfamily\footnotesize,
+    breakatwhitespace=false,         
+    breaklines=true,                 
+    captionpos=b,                    
+    keepspaces=true,                 
+    numbers=left,                    
+    numbersep=5pt,                  
+    showspaces=false,                
+    showstringspaces=false,
+    showtabs=false,                  
+    tabsize=2
+}
+
+% activate my colour style
+\lstset{style=mystyle}
+
+% better stackrel
+\let\oldstackrel\stackrel
+\renewcommand{\stackrel}[3][]{%
+    \oldstackrel[\mathclap{#1}]{\mathclap{#2}}{#3}
+}%
+
+% integral d sign
+\makeatletter \renewcommand\d[2][]{\ensuremath{%
+		\,\mathrm{d}^{#1}#2\@ifnextchar^{}{\@ifnextchar\d{}{\,}}}}
+\makeatother
+
+% remove page before chapters
+\let\cleardoublepage=\clearpage
+
+%josua
+\newcommand{\norm}[1]{\left\Vert#1\right\Vert}
+
+% contradiction
+\newcommand{\contr}{\text{\Large\lightning}}
+
+% people seem to prefer varepsilon over epsilon
+\renewcommand{\epsilon}{\varepsilon}
+
+\ExplSyntaxOn
+
+% S-tackrelcompatible ALIGN environment
+% some might also call it the S-uper ALIGN environment
+% uses regular expressions to calculate the widest stackrel
+% to put additional padding on both sides of relation symbols
+\NewEnviron{salign}
+{
+    \begin{align}
+        \lec_insert_padding:V \BODY
+    \end{align}
+}
+% starred version that does no equation numbering
+\NewEnviron{salign*}
+{
+    \begin{align*}
+        \lec_insert_padding:V \BODY
+    \end{align*}
+}
+
+% some helper variables
+\tl_new:N \l__lec_text_tl
+\seq_new:N \l_lec_stackrels_seq
+\int_new:N \l_stackrel_count_int
+\int_new:N \l_idx_int
+\box_new:N \l_tmp_box
+\dim_new:N \l_tmp_dim_a
+\dim_new:N \l_tmp_dim_b
+\dim_new:N \l_tmp_dim_c
+\dim_new:N \l_tmp_dim_needed
+
+% function to insert padding according to widest stackrel
+\cs_new_protected:Nn \lec_insert_padding:n
+ {
+  \tl_set:Nn \l__lec_text_tl { #1 }
+  % get all stackrels in this align environment
+  \regex_extract_all:nnN { \c{stackrel}(\[.*?\])?{(.*?)}{(.*?)} } { #1 } \l_lec_stackrels_seq
+  % get number of stackrels
+  \int_set:Nn \l_stackrel_count_int { \seq_count:N \l_lec_stackrels_seq }
+  \int_set:Nn \l_idx_int { 1 }
+  \dim_set:Nn \l_tmp_dim_needed { 0pt }
+  % iterate over stackrels
+  \int_while_do:nn { \l_idx_int <= \l_stackrel_count_int }
+  {
+      % calculate width of text
+      \hbox_set:Nn \l_tmp_box {$\seq_item:Nn \l_lec_stackrels_seq { \l_idx_int + 1 }$}
+      \dim_set:Nn \l_tmp_dim_a {\box_wd:N \l_tmp_box}
+      \hbox_set:Nn \l_tmp_box {$\seq_item:Nn \l_lec_stackrels_seq { \l_idx_int + 2 }$}
+      \dim_set:Nn \l_tmp_dim_c {\box_wd:N \l_tmp_box}
+      \dim_set:Nn \l_tmp_dim_a {\dim_max:nn{ \l_tmp_dim_c} {\l_tmp_dim_a}}
+      % calculate width of relation symbol
+      \hbox_set:Nn \l_tmp_box {$\seq_item:Nn \l_lec_stackrels_seq { \l_idx_int + 3 }$}
+      \dim_set:Nn \l_tmp_dim_b {\box_wd:N \l_tmp_box}
+      % check if 0.5*(a-b) > minimum padding, if yes updated minimum padding
+      \dim_compare:nNnTF
+        { 1pt * \dim_ratio:nn { \l_tmp_dim_a - \l_tmp_dim_b } { 2pt } } > { \l_tmp_dim_needed }
+        { \dim_set:Nn \l_tmp_dim_needed { 1pt * \dim_ratio:nn { \l_tmp_dim_a - \l_tmp_dim_b } { 2pt } } }
+        { }
+      % increment list index by three, as every stackrel produces three list entries
+      \int_incr:N \l_idx_int
+      \int_incr:N \l_idx_int
+      \int_incr:N \l_idx_int
+      \int_incr:N \l_idx_int
+  }
+  % replace all relations with align characters (&) and add the needed padding
+  \regex_replace_all:nnN
+  { (\c{leq}&|&\c{leq}|\c{geq}&|&\c{geq}|\c{iff}&|&\c{iff}|\c{impliedby}&|&\c{impliedby}|\c{implies}&|&\c{implies}|\c{approx}&|&\c{approx}|\c{equiv}&|&\c{equiv}|=&|&=|\c{le}&|&\c{le}|\c{ge}&|&\c{ge}|&\c{stackrel}(\[.*?\])?{.*?}{.*?}|\c{stackrel}(\[.*?\])?{.*?}{.*?}&|&\c{neq}|\c{neq}&|>&|&>|<&|&<) }
+      { \c{kern} \u{l_tmp_dim_needed} \1 \c{kern} \u{l_tmp_dim_needed} }
+      \l__lec_text_tl
+  \l__lec_text_tl
+ }
+\cs_generate_variant:Nn \lec_insert_padding:n { V }
+
+\NewEnviron{leftright}
+{
+    \lec_replace_parens:V \BODY
+}
+
+% function to replace parens with left right
+\cs_new_protected:Nn \lec_replace_parens:n
+ {
+  \tl_set:Nn \l__lec_text_tl { #1 }
+  % replace all parantheses with \left( \right)
+  \regex_replace_all:nnN { \( } { \c{left}( } \l__lec_text_tl
+  \regex_replace_all:nnN { \) } { \c{right}) } \l__lec_text_tl
+  \regex_replace_all:nnN { \[ } { \c{left}[ } \l__lec_text_tl
+  \regex_replace_all:nnN { \] } { \c{right}] } \l__lec_text_tl
+  \l__lec_text_tl
+ }
+\cs_generate_variant:Nn \lec_replace_parens:n { V }
+
+\ExplSyntaxOff
+
+% add one equation tag to the current line to otherwise unnumbered environment
+\newcommand{\tageq}{\stepcounter{equation}\tag{\theequation}}