Format source files with latexindent

README.md

@@ -1,7 +1,25 @@
-# LaTeX helpers
+<div id="title" align="center">
+    <img src="./assets/logo.jpg" width="300">
+    <h1>LaTeX Helper files</h1>
+</div>
+
 This repository contains a collection of LaTeX files, helping you get started with LaTeX quickly.
 
-See the docs [here](https://git.janishutz.com/janishutz/latex/src/branch/main/docs/main/docs.pdf) to get started.
 
+# Getting started
+See the docs [here](https://git.janishutz.com/janishutz/latex/src/branch/main/docs/docs.pdf) to get started.
+
+
+# Recommended LaTeX editors
+1. [TeX Studio](https://www.texstudio.org/)
+2. [VSCode](https://code.visualstudio.com/) with LaTeX Workshop and LaTeX Utilities. You will need to have TeXLive installed (https://tug.org/texlive/)
+3. [Neovim](https://neovim.io/) with the vimtex plugin and texlab installed
+
+The editors are ordered in terms of ease of use and my personal preference list is exactly the other way round.
+
+
+<div id="donate" align="center">
+    <a href="https://store.janishutz.com/donate" target="_blank"><img src="https://store-cdn.janishutz.com/static/support-me.jpg" width="150px"></a>
+</div>
 
 [LaTeX helper files](https://git.janishutz.com/janishutz/latex) © 2024 by [Janis Hutz](https://janishutz.com) is licensed under [Creative Commons Attribution-NonCommercial 4.0 International](https://creativecommons.org/licenses/by-nc/4.0/)

config/config.tex

@@ -15,17 +15,23 @@
 
 % Configure your address here
 \newcommand{\name}{Janis Hutz}
-\newcommand{\street}{}
+\newcommand{\street}{Street}
-\newcommand{\city}{}
+\newcommand{\city}{City}
 \newcommand{\countrycode}{CH}
 
 
 % Configure definition, lemma, theorem, etc numbering behaviour. 1 = Individual, 2 = Combined (apart from Definition), 3 = Combined
 \setcounter{numberingConfig}{1}
 
+% Configure if for definitions, lemmas, etc, numbering should be (0) = <section>.<number> or (1) = <section>.<subsection>.<number> or (2) = <section>.<subsection>.<subsubsection>.<number>
+\setcounter{numberSubsections}{0}
+
 % Set the default language. 
 \setLang{en}
 
+% Set the default command for theorem translation
+\newcommand{\theoremde}{Satz}
+
 
 % ----- %
 % STYLE %

dist/most.tex

@@ -1,4 +1,3 @@
-
 \newcommand{\loadMost}{
     \typeout{[CustomLaTeXHelperLoader]: Loaded most}
     \input{\dir/dist/minimal.tex}

docs/docs.tex

@@ -32,4 +32,6 @@ You may also install the VSCode snippets found in the vscode-snippets folder. Th
 
 \input{./parts/reference.tex}
 
+\input{./parts/troubleshooting.tex}
+
 \end{document}

docs/parts/reference.tex

@@ -4,11 +4,14 @@
 \begin{itemize}
     \item \textit{scope}: \texttt{minimal}, \texttt{most}, \texttt{recommended}, \texttt{all} or \texttt{letter}
     \item \textit{string}: Any normal text
+    \item \textit{math}: Any math input
     \item \textit{number}: Any non-negative integer, i.e. no commas
     \item \textit{color}: Any of the \texttt{dvipsnames} colours of \texttt{xcolor}
+    \item \textit{langauge}: 2-character country code (currently only \texttt{de} and \texttt{en} supported)
 \end{itemize}
 
 \subsection{Per-File config}
+\label{sec:perFileConf}
 \begin{itemize}
     \item \verb|\renewcommand{\authorTitle}|\{\textit{string}\} Change the author (in the title) for this document only
     \item \verb|\renewcommand{\authorHeaders}|\{\textit{string}\} Change the author (in the header) for this document only
@@ -16,7 +19,13 @@
     \item \verb|\renewcommand{\street}|\{\textit{string}\} Change the street (for letters) for this document only
     \item \verb|\renewcommand{\city}|\{\textit{string}\} Change the city (for letters) for this document only
     \item \verb|\renewcommand{\countrycode}|\{\textit{string}\} Change the country-code (for letters) for this document only
+    \item \verb|\renewcommand{\theoremde}|\{\textit{string}\} Change the translation for theorem in German (usually either ``Satz'' or ``Theorem'')
     \item \verb|\setcounter{numberingConfig}|\{\textit{number}\} Change the numbering of definitions, lemmas, etc for this document. 1 = Separately, 2 = Combined (except for definition), 3 = Combined, 4 = Off
+    \item \verb|\setcounter{numberSubsections}|\{\textit{number}\} Change the format of the numbering of definition, lemma, etc.
+          0 = $<$section$>$.$<$number$>$,\\
+          1 = $<$section$>$.$<$subsection$>$.$<$number$>$,\\
+          2 = $<$section$>$.$<$subsection$>$.$<$subsubsection$>$.$<$number$>$\\
+          Changing this won't affect all of numbering prior to the command, only after. You can change this setting (and the one above) at any point in the document
     \item \verb|\setcounter{descriptorShadeStrength}|\{\textit{number}\} Change the colour saturation of the inline descriptors
     \item \verb|\setcounter{shadeStrength}|\{\textit{number}\} Change the colour saturation of the \verb|\shade| command
     \item \verb|\setLang|\{\textit{language}\} Change the language. Will automatically load babel in German. Can only be used once and only at the start of the document or in the preamble, as repeated usage leads to undefined behaviour
@@ -26,13 +35,66 @@
 \begin{itemize}
     \item \verb|\load|\{\textit{scope}\} Load the selected \textit{scope}
     \item \verb|\setup|\{\textit{string}\} Prepare the document with the \textit{string} being the title
-    \item \verb|\setupExam|\{\textit{string}\} Prepare the document with smaller borders and no headers / footers. \textit{string} is the title
+    \item \verb|\setupCheatSheet|\{\textit{string}\} Prepare the document with smaller borders and no headers / footers. \textit{string} is the title
     \item \verb|\setupBarebones|\{\textit{string}\} Minimal setup, only borders and title set
     \item \verb|\startDocument| Initialize the document. Has to be called after \verb|\begin{document}|
     \item \verb|\usetcolorboxes| Initialize tcolorboxes. In main body, if you want to use fancy boxes. (requires \texttt{most} or up)
     \item \verb|\translate|\{\textit{string}\}\{\textit{string}\} First \textit{string} is English, second \textit{string} is German. Switches automatically based on language selected
+    \item \verb|\tr|\{\textit{string}\}\{\textit{string}\} Shorthand for \verb|\translate|
 \end{itemize}
 
+\newpage
+\subsection{Math-Commands}
+All these have to be executed in the math environment.
+\begin{itemize}
+    \item \verb|\R| Prints $\R$. Same goes for \verb|\C| printing $\C$, etc.
+    \item \verb|\floor|\{\textit{math}\} Round down symbol, e.g. $\floor{n}$
+    \item \verb|\ceil|\{\textit{math}\} Round up symbol, e.g. $\ceil{n}$
+    \item \verb|\hastoeq| or \verb|\mbeq| Has to equal symbol (non-standard), $\hastoeq$
+    \item \verb|\Leftrightarrowequiv| Equivalence transformation symbol, $\Leftrightarrowequiv$.
+    \item \verb|\Rightarrowequiv| Equivalence transformation symbol, $\Rightarrowequiv$.
+    \item \verb|\Leftarrowequiv| Equivalence transformation symbol, $\Leftarrowequiv$.
+    \item \verb|\defAs| Define as, i.e. $\defAs$
+    \item \verb|\defEquiv| Define as, but with a two-sided implication instead of equality, i.e. $\defEquiv$
+    \item \verb|\defImplies| Define as, but with one-sided implication, i.e. $\defImplies$
+    \item \verb|\divides| Divider or divides symbol, e.g. $a \divides b$
+    \item \verb|\lcm| Least common multiple, $\lcm$
+    \item \verb|\arcsinh| Inverse of hyperbolic sine, $\arcsinh$
+    \item \verb|\arcosh| Inverse of hyperbolic cosine, $\arcosh$
+    \item \verb|\arctanh| Inverse of hyperbolic tangent, $\arctanh$
+    \item \verb|\limit|\{\textit{math}\}\{\textit{math}\} Shortened limit notation, $\displaystyle \limit{x}{x_0}$
+    \item \verb|\limni| Shortened limit notation for $n \rightarrow \infty$, $\displaystyle \limni$
+    \item \verb|\liminfni| Shortened limit inferior notation for $n \rightarrow \infty$, $\displaystyle \liminfni$
+    \item \verb|\limsupni| Shortened limit superior notation for $n \rightarrow \infty$, $\displaystyle \limsupni$
+    \item \verb|\der|\{\textit{math}\} Derivative, $\displaystyle \der{x}$
+    \item \verb|\dern|\{\textit{math}\}\{\textit{math}\} Higher derivative, $\displaystyle \dern{x}{2}$
+\end{itemize}
+
+\subsection{CS-Commands}
+These commands have to be executed outside the math environment.
+\begin{itemize}
+    \item \verb|\timecomplexity| Prints the word time complexity with a coloured box.
+    \item \verb|\tc| Shorthand for \verb|\tct|. Deprecated
+    \item \verb|\tct| Time complexity in \tct{}-notation (average case)
+    \item \verb|\tco| Time complexity in \tco{}-notation (worst case / upper bound)
+    \item \verb|\tcl| Time complexity in \tcl{}-notation (best case / lower bound)
+\end{itemize}
+
+\fhlc{Aquamarine}{Algorithms}
+\begin{minted}{latex}
+\begin{algo}{functionName(A)}
+    \Procedure{functionName}{$(A)$}
+        \State\Return "Hello World"
+    \EndProcedure
+\end{algo}
+\end{minted}
+
+\begin{algo}{functionName(A)}
+    \Procedure{functionName}{$(A)$}
+        \State\Return "Hello World"
+    \EndProcedure
+\end{algo}
+
 \newpage
 \subsection{Style}
 General styling commands. All other commands, except these ones require at least \texttt{most} to be the selected \textit{scope}
@@ -44,6 +106,9 @@ General styling commands. All other commands, except these ones require at least
     \item \verb|\fhlc|\{\textit{color}\}\{\textit{string}\} Print \fhlc{ForestGreen}{bold, underlined text in a coloured box}
     \item \verb|\fhl|\{\textit{string}\} Print \fhl{bold, underlined text in a white box}
     \item \verb|\printtoc|\{\textit{color}\} Print the table of contents (as seen on the first page). The normal \verb|\tableofcontents| still works as expected
+    \item \verb|\smallhspace| Prints a 2mm hspace
+    \item \verb|\mediumhspace| Prints a 5mm hspace
+    \item \verb|\largehspace| Prints a 10mm = 1cm hspace
 \end{itemize}
 
 \newpage
@@ -141,10 +206,9 @@ Put \verb|\usetcolorboxes| right after \verb|\startDocument| (right after \verb|
 \newpage
 \fhlc{Aquamarine}{Counter-enabled}
 
-These ones also have a setting, namely, you can change the counter behaviour:\\
+These ones also have two settings, namely, you can change the counter behaviour and the inclusion of subsections in the numbering. See \ref{sec:perFileConf}.
-\verb|\setcounter{numberingConfig}|\{\textit{number}\}: Change the numbering of definitions, lemmas, etc for this document. 1 = Separately, 2 = Combined (except for definition), 3 = Combined, 4 = Off
 
-Here, it is shown with the default setting, $1$, meaning they are numbered separately. See \ref{sec:counters} for a guide on how to change the current number.
+See \ref{sec:counters} for a guide on how to change the current number.
 
 \begin{definition}[]{Title here}
     \begin{minted}{latex}
@@ -178,6 +242,22 @@ Here, it is shown with the default setting, $1$, meaning they are numbered separ
     \end{minted}
 \end{corollary}
 
+\begin{proposition}[]{Title here}
+    \begin{minted}{latex}
+        \begin{proposition}[]{Title here}
+            
+        \end{proposition}
+    \end{minted}
+\end{proposition}
+
+\begin{fact}[]{Title here}
+    \begin{minted}{latex}
+        \begin{fact}[]{Title here}
+            
+        \end{fact}
+    \end{minted}
+\end{fact}
+
 \begin{axiom}[]{Title here}
     \begin{minted}{latex}
         \begin{axiom}[]{Title here}
@@ -236,25 +316,56 @@ Here, it is shown with the default setting, $1$, meaning they are numbered separ
 See \ref{sec:counters} for a guide on how to change the current number.
 
 \fhlc{Aquamarine}{Inline}
-\begin{tables}{ll}{Command & Output}
+\begin{tables}{ll}{Command              & Output}
-    \verb|\inlineex| & \inlineex\\
+              \verb|\inlineex|          & \inlineex          \\
-    \verb|\inlinedef| & \inlinedef\\
+              \verb|\inlinedef|         & \inlinedef         \\
-    \verb|\inlinetheorem| & \inlinetheorem\\
+              \verb|\inlinetheorem|     & \inlinetheorem     \\
-    \verb|\inlinelemma| & \inlinelemma\\
+              \verb|\inlinelemma|       & \inlinelemma       \\
-    \verb|\inlinecorollary| & \inlinecorollary\\
+              \verb|\inlinecorollary|   & \inlinecorollary   \\
-    \verb|\inlineaxiom| & \inlineaxiom\\
+              \verb|\inlineproposition| & \inlineproposition \\
-    \verb|\inlineproof| & \inlineproof\\
+              \verb|\inlinefact|        & \inlinefact        \\
+              \verb|\inlineaxiom|       & \inlineaxiom       \\
+              \verb|\inlineproof|       & \inlineproof       \\
 \end{tables}
 
 \fhlc{Aquamarine}{Shortened}
-\begin{tables}{ll}{Command & Output}
+\begin{tables}{ll}{Command             & Output}
-    \verb|\shortex| & \shortex\\
+              \verb|\shortex|          & \shortex          \\
-    \verb|\shortdef| & \shortdef\\
+              \verb|\shortdef|         & \shortdef         \\
-    \verb|\shorttheorem| & \shorttheorem\\
+              \verb|\shorttheorem|     & \shorttheorem     \\
-    \verb|\shortlemma| & \shortlemma\\
+              \verb|\shortlemma|       & \shortlemma       \\
-    \verb|\shortcorollary| & \shortcorollary\\
+              \verb|\shortcorollary|   & \shortcorollary   \\
-    \verb|\shortaxiom| & \shortaxiom\\
+              \verb|\shortproposition| & \shortproposition \\
-    \verb|\shortproof| & \shortproof\\
+              \verb|\shortfact|        & \shortfact        \\
+              \verb|\shortaxiom|       & \shortaxiom       \\
+              \verb|\shortproof|       & \shortproof       \\
+\end{tables}
+\newpage
+
+\fhlc{Aquamarine}{Inline (Named)}
+\begin{tables}{ll}{Command                                & Output}
+              \verb|\fancyex|\{\textit{string}\}          & \fancyex{Exercise}           \\
+              \verb|\fancydef|\{\textit{string}\}         & \fancydef{Definition}        \\
+              \verb|\fancytheorem|\{\textit{string}\}     & \fancytheorem{Theorem}       \\
+              \verb|\fancylemma|\{\textit{string}\}       & \fancylemma{Lemma}           \\
+              \verb|\fancycorollary|\{\textit{string}\}   & \fancycorollary{Corollary}   \\
+              \verb|\fancyproposition|\{\textit{string}\} & \fancyproposition{Corollary} \\
+              \verb|\fancyfact|\{\textit{string}\}        & \fancyfact{Fact}             \\
+              \verb|\fancyaxiom|\{\textit{string}\}       & \fancyaxiom{Axiom}           \\
+              \verb|\fancyproof|\{\textit{string}\}       & \fancyproof{Proof}           \\
+\end{tables}
+
+\fhlc{Aquamarine}{Shortened (Named)}
+\begin{tables}{ll}{Command                                  & Output}
+              \verb|\compactex|\{\textit{string}\}          & \compactex{Exercise}           \\
+              \verb|\compactdef|\{\textit{string}\}         & \compactdef{Definition}        \\
+              \verb|\compacttheorem|\{\textit{string}\}     & \compacttheorem{Theorem}       \\
+              \verb|\compactlemma|\{\textit{string}\}       & \compactlemma{Lemma}           \\
+              \verb|\compactcorollary|\{\textit{string}\}   & \compactcorollary{Corollary}   \\
+              \verb|\compactproposition|\{\textit{string}\} & \compactproposition{Corollary} \\
+              \verb|\compactfact|\{\textit{string}\}        & \compactfact{Fact}             \\
+              \verb|\compactaxiom|\{\textit{string}\}       & \compactaxiom{Axiom}           \\
+              \verb|\compactproof|\{\textit{string}\}       & \compactproof{Proof}           \\
 \end{tables}
 
 
@@ -279,8 +390,8 @@ You can set up nice looking tables using the \texttt{booktab} and \texttt{tabula
 \end{minted}
 
 This outputs as
-\begin{tables}{ll}{Left & Right}
+\begin{tables}{ll}{Left    & Right}
-    Left content & Right Content\\
+              Left content & Right Content \\
 \end{tables}
 
 This doesn't use the \texttt{table} environment, so no captions are possible, as to why there is also

docs/parts/troubleshooting.tex

@@ -0,0 +1,34 @@
+\newsection
+\section{Troubleshooting}
+
+\subsection{Visual Errors}
+\subsubsection{Missing headers \& footers}
+You have most likely forgotten about \verb|\startDocument| after \verb|\begin{document}|, or you are using \verb|\setupbarebones| or \verb|\setupexams|.
+
+You can easily distinguish from simply looking at the PDF. If the title is missing too, it's the first one, if it is there, it is most likely the second.
+
+\subsubsection{Right box of guides tcolorbox is a weird title}
+You have most likely forgotten about the second argument. Then, the first letter is removed from the body and used as the title.
+
+\subsection{pgfkeys: Don't know mainboxstyle}
+You have most likely forgotten about \verb|\usetcolorboxes| after \verb|\startDocument|.
+
+
+
+\subsection{Undefined commands}
+You have most likely loaded a too small \textit{scope}
+
+\subsection{Lots of errors and no compile}
+You have most likely selected a non-existant \textit{scope} in the \verb|\load| function. You can verify by searching the \texttt{<document name>.log} file for any mention of \texttt{INVALID CONFIG SPECIFIED, NOTHING LOADED!}
+
+\subsection{Minted}
+\texttt{minted} is a syntax highlighting library. It can cause issues when running, as it needs extra configuration for the compiler.
+
+\subsubsection{You must invoke LaTeX with the -shell-escape flag}
+You have set the \textit{scope} to \texttt{full}, which loads the \texttt{minted} package for code highlighting. You will need to configure your latex compiler to use \texttt{-shell-escape} if you want to use it. If you do not plan to use it, simply switch to a smaller \textit{scope}.
+
+\subsubsection{You must have pygmentize installed}
+Your host system is lacking the \texttt{pygmentize} package or you have not added the \texttt{pip} path to your \$PATH. This is also the reason as to why the \texttt{-shell-escape} flag has to be set, as minted needs to access external libraries (namely \texttt{pygmentize}) to do the syntax highlighting.
+
+\subsection{Any other error}
+Ensure that you are not missing any closing brackets or a math environment is still open. If nothing helps, contact support at \url{https://support.janishutz.com}

examples/letter/letter.tex

@@ -0,0 +1,17 @@
+\documentclass[12pt,a4paper]{scrlttr2}
+
+\newcommand{\dir}{~/projects/latex} % IMPORTANT: No trailing slashes!
+\input{\dir/include.tex}
+\load{letter}
+
+% Subject
+\setkomavar{subject}{Test}
+\begin{document}\raggedright
+\begin{letter}{Company \\ Name \\ Address \\ CH-Place}
+    \opening{Intro}
+
+    Test
+
+    \closing{Kind regards}
+\end{letter}
+\end{document}

include.tex

@@ -1,11 +1,10 @@
-
 % Loader
 \newcommand{\load}[1]{
     \edef\recommended{recommended}
     \edef\minimal{minimal}
     \edef\most{most}
     \edef\full{full}
-    \edef\letter{letter}
+    \edef\letters{letter}
     \edef\temp{#1}
     \ifx \temp\recommended
         \typeout{[CustomLaTeXHelperLoader]: Loading config recommended}
@@ -27,11 +26,14 @@
                     \input{\dir/dist/full.tex}
                     \loadFull
                 \else
-                    \ifx \temp\letter
+                    \ifx \temp\letters
                         \typeout{[CustomLaTeXHelperLoader]: Loading config letter}
+                        \input{\dir/dist/minimal.tex}
+                        \loadMinimal
+                        % \input{\dir/config/config.tex}
                         \input{\dir/dist/letter.tex}
                     \else
-                        \typeout{[CustomLaTeXHelperLoader]: NO CONFIG SPECIFIED, NOTHING LOADED!}
+                        \typeout{[CustomLaTeXHelperLoader]: INVALID CONFIG SPECIFIED, NOTHING LOADED!}
                     \fi
                 \fi
             \fi

main/core.tex

@@ -34,6 +34,8 @@
 \usepackage{ifthen}
 \usepackage[hidelinks]{hyperref}
 \usepackage{enumitem}
+\usepackage{gensymb}
+\usepackage{pifont}
 
 
 % Language Switching. Currently only English and German are supported
@@ -51,6 +53,7 @@
         \ifx\lang\de
             \typeout{[Lang Switcher] Loading German}
             \setcounter{lang}{2}
+            \input{\dir/main/lang/de}
         \else
             \typeout{[Lang Switcher] No such language!}
         \fi
@@ -60,17 +63,17 @@
 \newcommand{\loadLang}{
     \ifnum\value{lang}<2{
         \typeout{[Lang Loader] Loaded English}
-    }\else {
+        }\else {
-        \typeout{[Lang Loader] Loaded German}
+            \typeout{[Lang Loader] Loaded German}
-        \usepackage[ngerman]{babel}
+            \setcounter{lang}{2}
-        \setcounter{lang}{2}
+        }
-    }
     \fi
 }
 
 
 % Create config counters / variables. See the config file for changing them
 \newcounter{numberingConfig}
+\newcounter{numberSubsections}
 \newcounter{descriptorShadeStrength}
 \newcounter{shadeStrength}
 
@@ -107,7 +110,7 @@
 }
 
 % Set up the latex document, only configuring the author, title and page size
-\newcommand{\setupbarebones}[1]{
+\newcommand{\setupBarebones}[1]{
     \loadLang
     \usepackage[a4paper,textwidth=17.5cm,textheight=25cm,includehead]{geometry}
     \title{\Huge \textbf{#1}}
@@ -115,13 +118,32 @@
 }
 
 % Set up the latex document for exam summaries (Extra wide body, small margins, no header)
-\newcommand{\setupexams}[1]{
+\newcommand{\setupCheatSheet}[1]{
     \loadLang
-    \usepackage[a4paper,textwidth=20cm,textheight=28cm,includehead]{geometry}
+    \usepackage[a4paper,textwidth=20cm,textheight=28.5cm]{geometry}
-    \title{#1}
+    \title{\Huge \textbf{#1}}
     \author{\authorTitle}
 }
 
 
-% translate the document between two languages
+% ────────────────────────────────────────────────────────────────────
+%          ╭────────────────────────────────────────────────╮
+%          │                 Translatation                  │
+%          ╰────────────────────────────────────────────────╯
 \newcommand{\translate}[2]{\ifnum\value{lang}<2{#1}\else{#2}\fi}
+\newcommand{\tr}[2]{\translate{#1}{#2}}
+
+% ┌                                                ┐
+% │        Translation aids (commonly used)        │
+% └                                                ┘
+\newcommand{\trif}{\translate{if }{falls }}
+\newcommand{\trIf}{\translate{If }{Falls }}
+\newcommand{\trLet}{\translate{Let }{Sei }}
+\newcommand{\trLets}{\translate{Let }{Seien }}
+\newcommand{\trFor}{\translate{For }{Für }}
+\newcommand{\trfor}{\translate{for }{für }}
+\newcommand{\trand}{\translate{and }{und }}
+\newcommand{\tror}{\translate{or }{oder }}
+\newcommand{\trst}{\translate{s.t. }{s.d. }}
+\newcommand{\trsuchthat}{\translate{such that }{so dass }}
+\newcommand{\trwith}{\translate{with }{mit }}

main/cs.tex

@@ -8,10 +8,12 @@
 \usepackage{algorithm}
 \usepackage{algpseudocodex}
 \usepackage{setspace}
+\usepackage{verbatim}
 
+\newcommand{\Indent}{\hspace{\algorithmicindent}}
 
 \newcommand{\timecomplexity}{\fhlc{orange}{\ifnum\value{lang}<2{Time complexity}\else {Laufzeit}\fi} \hspace{0.5em}}
-\newcommand{\tc}[1]{\timecomplexity $\Theta (#1)$}
+\newcommand{\tc}[1]{\timecomplexity $\Theta\left(#1\right)$}
-\newcommand{\tct}[1]{$\Theta (#1)$}
+\newcommand{\tct}[1]{$\Theta\left(#1\right)$}
-\newcommand{\tco}[1]{$O(#1)$}
+\newcommand{\tco}[1]{$\mathcal{O}\left(#1\right)$}
-\newcommand{\tcl}[1]{$\Omega(#1)$}
+\newcommand{\tcl}[1]{$\Omega\left(#1\right)$}

main/lang/de.tex

@@ -0,0 +1 @@
+\usepackage[ngerman]{babel}

main/math.tex

@@ -8,14 +8,14 @@
 % ▄███▄ ▀▀  ▄████▄████▀██▄ ▀███████  ████▄
 
 
-\renewcommand{\vec}[1]{\overrightarrow{#1}}
-\renewcommand{\hat}[1]{\widehat{#1}}
-\renewcommand{\tilde}[1]{\widetilde{#1}}
 \newcommand{\R}{\mathbb{R}}
 \newcommand{\N}{\mathbb{N}}
 \newcommand{\C}{\mathbb{C}}
 \newcommand{\Q}{\mathbb{Q}}
 \newcommand{\Z}{\mathbb{Z}}
+\newcommand{\I}{\mathbb{I}}
+\newcommand{\E}{\mathbb{E}}
+\newcommand{\D}{\mathbb{D}}
 \newcommand{\8}{\infty}
 \newcommand{\dx}{\mbox{d}}
 \newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
@@ -26,8 +26,19 @@
 \newcommand{\Rightarrowequiv}{\overset{\cdot}{\Rightarrow}}
 \newcommand{\Leftarrowequiv}{\overset{\cdot}{\Leftarrow}}
 \newcommand{\defAs}{\overset{\text{def}}{=}}
+\newcommand{\der}[1]{\frac{\mbox{d}}{\mbox{d}#1}}
+\newcommand{\dern}[2]{\frac{\mbox{d}^{#2}}{\mbox{d}^{#2}#1}}
 \newcommand{\defEquiv}{\overset{\text{def}}{\Leftrightarrow}}
 \newcommand{\defImplies}{\overset{\text{def}}{\Rightarrow}}
 \newcommand{\divides}{\hspace{0.25em}|\hspace{0.25em}}
 \newcommand{\mbeq}{\overset{!}{=}}
 \newcommand{\lcm}{\text{lcm}}
+\newcommand{\limit}[2]{\lim_{#1 \rightarrow #2}}
+\newcommand{\seq}[1]{(#1_n)_{n \geq 1}}
+\newcommand{\ser}[2]{\sum_{k = 1}^{#2} #1_k}
+\newcommand{\limni}{\limit{n}{\infty}}
+\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}}
+\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}}
+\DeclareMathOperator\arctanh{arctanh}
+\DeclareMathOperator\arccosh{arccosh}
+\DeclareMathOperator\arcsinh{arcsinh}

main/style/common.tex

@@ -5,35 +5,39 @@
 %▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
 
 \newtcolorbox{recall}[2][]{mainboxstyle,colback=yellow!5!white,colframe=yellow!75!black,colbacktitle=yellow!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=yellow!75!black,,fill=yellow!75!black] at (frame.north east) {\large \translate{Recall }{Repetition }};},#1}
+    overlay={\node[overlaystyle,draw=yellow!75!black,,fill=yellow!75!black] at (frame.north east) {\large \translate{Recall }{Repetition }};},#1}
 
 \newtcolorbox{remarks}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Remarks }{Bemerkungen }};},#1}
+    overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Remarks }{Bemerkungen }};},#1}
 
 \newtcolorbox{guides}[3][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=red!75!black,,fill=red!75!black] at (frame.north east) {\large #3};},#1}
+    overlay={\node[overlaystyle,draw=red!75!black,,fill=red!75!black] at (frame.north east) {\large #3};},#1}
 
 
 \newtcolorbox{properties}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Properties }{Eigenschaften }};},#1}
+    overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Properties }{Eigenschaften }};},#1}
 
 \newtcolorbox{restrictions}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Restrictions }{Einschränkungen }};},#1}
+    overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Restrictions }{Einschränkungen }};},#1}
 
 \newtcolorbox{limitations}[2][]{mainboxstyle,colback=purple!5!white,colframe=purple!75!black,colbacktitle=purple!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Limitations }{Limitierungen }};},#1}
+    overlay={\node[overlaystyle,draw=purple!75!black,,fill=purple!75!black] at (frame.north east) {\large \translate{Limitations }{Limitierungen }};},#1}
 
 
 % Terms and notation
 \newtcolorbox{terms}[2][]{mainboxstyle,colback=orange!5!white,colframe=orange!75!black,colbacktitle=orange!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=orange!75!black,,fill=orange!75!black] at (frame.north east) {\large \translate{Terms }{Begriffe }};},#1}
+    overlay={\node[overlaystyle,draw=orange!75!black,,fill=orange!75!black] at (frame.north east) {\large \translate{Terms }{Begriffe }};},#1}
 
 \newtcolorbox{notation}[2][]{mainboxstyle,colback=Peach!5!white,colframe=Peach!75!black,colbacktitle=Peach!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=Peach!75!black,,fill=Peach!75!black] at (frame.north east) {\large Notation};},#1}
+    overlay={\node[overlaystyle,draw=Peach!75!black,,fill=Peach!75!black] at (frame.north east) {\large Notation};},#1}
 
 
 \newtcolorbox{usage}[2][]{mainboxstyle,colback=green!5!white,colframe=green!75!black,colbacktitle=green!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Usage }{Nutzung }};},#1}
+    overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.north east) {\large \translate{Usage }{Nutzung }};},#1}
+
+
+% Task
+\newtcolorbox{task}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2},overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Task}{Aufgabe}};},#1}
 
 
 % Proof
@@ -42,4 +46,7 @@ overlay={\node[overlaystyle,draw=green!75!black,,fill=green!75!black] at (frame.
 
 % General
 \newtcolorbox{general}[4][]{mainboxstyle,colback=#4!5!white,colframe=#4!75!black,colbacktitle=#4!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=#4!75!black,,fill=#4!75!black] at (frame.north east) {\large #3};},#1}
+    overlay={\node[overlaystyle,draw=#4!75!black,,fill=#4!75!black] at (frame.north east) {\large #3};},#1}
+
+% Simple
+\newtcolorbox{simplebox}[2][]{colback=#2!5!white,colframe=#2!75!black,#1}

main/style/counters.tex

@@ -5,6 +5,7 @@
 % ▐███▌▐█▌.▐▌▐█▄█▌██▐█▌ ▐█▌·▐█▄▄▌▐█•█▌
 % ·▀▀▀  ▀█▄▀▪ ▀▀▀ ▀▀ █▪ ▀▀▀  ▀▀▀ .▀  ▀
 
+\usepackage{xstring}
 % tcolorbox and other stylistic elements (i.e. inline versions of them) that have counters
 \newcounter{lemmas}
 \newcounter{definitions}
@@ -12,14 +13,21 @@
 \newcounter{theorems}
 \newcounter{axioms}
 \newcounter{examples}
+\newcounter{facts}
+\newcounter{propositions}
+\newcounter{formulas}
 \newcounter{all}
 
-\newcommand{\usenumberArabic}[1]{\ifnum\value{numberingConfig}<4{\arabic{section}.\ifnum\value{numberingConfig}<3{\ifnum\value{numberingConfig}<2{\arabic{#1}\stepcounter{#1}}\else{
+\newcommand{\definitions}{definitions}
-\ifx#1definitions
+\newcommand{\useSubsection}{\ifnum\value{numberSubsections}>0{\arabic{subsection}.}\else{}\fi}
-    \arabic{#1}\stepcounter{#1}
+\newcommand{\useSubsubsection}{\ifnum\value{numberSubsections}>1{\arabic{subsubsection}.}\else{}\fi}
-\else
+
-    \arabic{all}\stepcounter{all}
+\newcommand{\usenumberArabic}[1]{\ifnum\value{numberingConfig}<4{\arabic{section}.\useSubsection\useSubsubsection\ifnum\value{numberingConfig}<3{\ifnum\value{numberingConfig}<2{\arabic{#1}\stepcounter{#1}}\else{
-\fi}\fi}\else{\arabic{all}\stepcounter{all}}\fi}\else{}\fi}
+                    \ifx#1\definitions
+                        \arabic{#1}\stepcounter{#1}
+                    \else
+                        \arabic{all}\stepcounter{all}
+                    \fi}\fi}\else{\arabic{all}\stepcounter{all}}\fi}\else{}\fi}
 
 
 % Reset definition, lemma, etc counters, add a new page
@@ -36,6 +44,9 @@
     \setcounter{theorems}{1}
     \setcounter{axioms}{1}
     \setcounter{examples}{1}
+    \setcounter{facts}{1}
+    \setcounter{propositions}{1}
+    \setcounter{formulas}{1}
     \setcounter{all}{1}
 }
 \newsectionNoPB
@@ -46,36 +57,80 @@
 
 % Theorems
 \newtcolorbox{theorem}[2][]{mainboxstyle,colback=ForestGreen!5!white,colframe=ForestGreen!75!black,colbacktitle=ForestGreen!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=ForestGreen!75!black,fill=ForestGreen!75!black] at (frame.north east) {\large Theorem \usenumberArabic{theorems}};},#1}
+    overlay={\node[overlaystyle,draw=ForestGreen!75!black,fill=ForestGreen!75!black] at (frame.north east) {\large \translate{Theorem}{\theoremde} \usenumberArabic{theorems}};},#1}
 
+% Lemmas
 \newtcolorbox{lemma}[2][]{mainboxstyle,colback=Aquamarine!5!white,colframe=Aquamarine!75!black,colbacktitle=Aquamarine!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=Aquamarine!75!black,fill=Aquamarine!75!black] at (frame.north east) {\large Lemma \usenumberArabic{lemmas}};},#1}
+    overlay={\node[overlaystyle,draw=Aquamarine!75!black,fill=Aquamarine!75!black] at (frame.north east) {\large Lemma \usenumberArabic{lemmas}};},#1}
 
+% Corollaries
 \newtcolorbox{corollary}[2][]{mainboxstyle,colback=teal!5!white,colframe=teal!75!black,colbacktitle=teal!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=teal!75!black,fill=teal!75!black] at (frame.north east) {\large \translate{Corollary}{Korollar} \usenumberArabic{corollaries}};},#1}
+    overlay={\node[overlaystyle,draw=teal!75!black,fill=teal!75!black] at (frame.north east) {\large \translate{Corollary}{Korollar} \usenumberArabic{corollaries}};},#1}
 
+% Axioms
 \newtcolorbox{axiom}[2][]{mainboxstyle,colback=JungleGreen!5!white,colframe=JungleGreen!75!black,colbacktitle=JungleGreen!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=JungleGreen!75!black,fill=JungleGreen!75!black] at (frame.north east) {\large Axiom \usenumberArabic{axioms}};},#1}
+    overlay={\node[overlaystyle,draw=JungleGreen!75!black,fill=JungleGreen!75!black] at (frame.north east) {\large Axiom \usenumberArabic{axioms}};},#1}
 
+% Facts
+\newtcolorbox{fact}[2][]{mainboxstyle,colback=SeaGreen!5!white,colframe=SeaGreen!75!black,colbacktitle=SeaGreen!75!black,title={\large #2},
+    overlay={\node[overlaystyle,draw=SeaGreen!75!black,fill=SeaGreen!75!black] at (frame.north east) {\large \translate{Fact}{Fakt} \usenumberArabic{facts}};},#1}
+
+% Propositions
+\newtcolorbox{proposition}[2][]{mainboxstyle,colback=Cyan!5!white,colframe=Cyan!75!black,colbacktitle=Cyan!75!black,title={\large #2},
+    overlay={\node[overlaystyle,draw=Cyan!75!black,fill=Cyan!75!black] at (frame.north east) {\large Proposition \usenumberArabic{propositions}};},#1}
+
+% Examples
 \newtcolorbox{example}[2][]{mainboxstyle,colback=gray!5!white,colframe=gray!75!black,colbacktitle=gray!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Example}{Beispiel} \usenumberArabic{examples}};},#1}
+    overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.north east) {\large \translate{Example}{Beispiel} \usenumberArabic{examples}};},#1}
 
+% Formula
+\newtcolorbox{formula}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2},
+    overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Formula}{Formel} \usenumberArabic{formulas}};},#1}
 
 % Inline environments (inline)
-\newcommand{\inlineex}{\textbf{\translate{Example}{Beispiel} \usenumberArabic{examples}}}
+\newcommand{\inlineex}{\textbf{\translate{Example}{Beispiel} \usenumberArabic{examples}:}}
 \newcommand{\inlinedef}{\bg{blue}{Definition \usenumberArabic{definitions}:}}
+\newcommand{\inlineformula}{\bg{red}{\translate{Formula}{Formel} \usenumberArabic{formulas}:}}
 \newcommand{\inlinelemma}{\bg{Aquamarine}{Lemma \usenumberArabic{lemmas}:}}
-\newcommand{\inlinetheorem}{\bg{ForestGreen}{Theorem \usenumberArabic{theorems}:}}
+\newcommand{\inlinetheorem}{\bg{ForestGreen}{\translate{Theorem}{\theoremde} \usenumberArabic{theorems}:}}
 \newcommand{\inlineaxiom}{\bg{JungleGreen}{Axiom \usenumberArabic{axioms}:}}
 \newcommand{\inlinecorollary}{\bg{teal}{\translate{Corollary}{Korollar} \usenumberArabic{corollaries}:}}
+\newcommand{\inlinefact}{\bg{SeaGreen}{\translate{Fact}{Fakt} \usenumberArabic{facts}:}}
+\newcommand{\inlineproposition}{\bg{Cyan}{Proposition \usenumberArabic{propositions}:}}
 \newcommand{\inlineproof}{\bg{magenta}{\translate{Proof}{Beweis}:}}
 
+% Enhanced inline environments
+\newcommand{\fancyex}[1]{\bg{gray}{\translate{Example}{Beispiel} \usenumberArabic{examples}:} \textit{(#1)}}
+\newcommand{\fancydef}[1]{\bg{blue}{Definition \usenumberArabic{definitions}:} \textit{(#1)}}
+\newcommand{\fancyformula}[1]{\bg{red}{\translate{Formula}{Formel} \usenumberArabic{formulas}:} \textit{(#1)}}
+\newcommand{\fancylemma}[1]{\bg{Aquamarine}{Lemma \usenumberArabic{lemmas}:} \textit{(#1)}}
+\newcommand{\fancytheorem}[1]{\bg{ForestGreen}{\translate{Theorem}{\theoremde} \usenumberArabic{theorems}:} \textit{(#1)}}
+\newcommand{\fancyaxiom}[1]{\bg{JungleGreen}{Axiom \usenumberArabic{axioms}:} \textit{(#1)}}
+\newcommand{\fancycorollary}[1]{\bg{teal}{\translate{Corollary}{Korollar} \usenumberArabic{corollaries}:} \textit{(#1)}}
+\newcommand{\fancyfact}[1]{\bg{SeaGreen}{\translate{Fact}{Fakt} \usenumberArabic{facts}:} \textit{(#1)}}
+\newcommand{\fancyproposition}[1]{\bg{Cyan}{Proposition \usenumberArabic{propositions}:} \textit{(#1)}}
+\newcommand{\fancyproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}}
 
 % short environments (abbreviated)
-\newcommand{\shortex}{\textbf{\translate{Ex}{Bsp} \usenumberArabic{examples}}}
+\newcommand{\shortex}{\textbf{\translate{Ex}{Bsp} \usenumberArabic{examples}:}}
 \newcommand{\shortdef}{\bg{blue}{D \usenumberArabic{definitions}:}}
+\newcommand{\short}{\bg{red}{F \usenumberArabic{formulas}:}}
 \newcommand{\shortlemma}{\bg{Aquamarine}{L \usenumberArabic{lemmas}:}}
-\newcommand{\shorttheorem}{\bg{ForestGreen}{T \usenumberArabic{theorems}:}}
+\newcommand{\shorttheorem}{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}} \usenumberArabic{theorems}:}}
 \newcommand{\shortaxiom}{\bg{JungleGreen}{A \usenumberArabic{axioms}:}}
 \newcommand{\shortcorollary}{\bg{teal}{\translate{C}{K} \usenumberArabic{corollaries}:}}
+\newcommand{\shortfact}{\bg{SeaGreen}{F \usenumberArabic{facts}:}}
+\newcommand{\shortproposition}{\bg{Cyan}{P \usenumberArabic{propositions}:}}
 \newcommand{\shortproof}{\bg{magenta}{\translate{Proof}{Beweis}:}}
+
+% Enhanced short environments (abbreviated)
+\newcommand{\compactex}[1]{\bg{gray}{\translate{Ex}{Bsp} \usenumberArabic{examples}:} \textit{(#1)}}
+\newcommand{\compactdef}[1]{\bg{blue}{D \usenumberArabic{definitions}:} \textit{(#1)}}
+\newcommand{\compactformula}[1]{\bg{red}{F \usenumberArabic{formulas}:} \textit{(#1)}}
+\newcommand{\compactlemma}[1]{\bg{Aquamarine}{L \usenumberArabic{lemmas}:} \textit{(#1)}}
+\newcommand{\compacttheorem}[1]{\bg{ForestGreen}{\translate{T}{\StrMid{\theoremde}{1}{1}} \usenumberArabic{theorems}:} \textit{(#1)}}
+\newcommand{\compactaxiom}[1]{\bg{JungleGreen}{A \usenumberArabic{axioms}:} \textit{(#1)}}
+\newcommand{\compactcorollary}[1]{\bg{teal}{\translate{C}{K} \usenumberArabic{corollaries}:} \textit{(#1)}}
+\newcommand{\compactfact}[1]{\bg{SeaGreen}{F \usenumberArabic{facts}:} \textit{(#1)}}
+\newcommand{\compactproposition}[1]{\bg{Cyan}{P \usenumberArabic{propositions}:} \textit{(#1)}}
+\newcommand{\compactproof}[1]{\bg{magenta}{\translate{Proof}{Beweis}: \textit{(#1)}}}

main/style/cs.tex

@@ -0,0 +1,25 @@
+%                                                                                                     ▄▄                                    
+%   ▄▄█▀▀▀█▄█                                                ██                       ▄█▀▀▀█▄█        ██                                    
+% ▄██▀     ▀█                                                ██                      ▄██    ▀█                                              
+% ██▀       ▀ ▄██▀██▄▀████████▄█████▄ ▀████████▄▀███  ▀███ ██████  ▄▄█▀██▀███▄███    ▀███▄    ▄██▀██▀███   ▄▄█▀██▀████████▄  ▄██▀██  ▄▄█▀██ 
+% ██         ██▀   ▀██ ██    ██    ██   ██   ▀██  ██    ██   ██   ▄█▀   ██ ██▀ ▀▀      ▀█████▄█▀  ██  ██  ▄█▀   ██ ██    ██ ██▀  ██ ▄█▀   ██
+% ██▄        ██     ██ ██    ██    ██   ██    ██  ██    ██   ██   ██▀▀▀▀▀▀ ██        ▄     ▀███       ██  ██▀▀▀▀▀▀ ██    ██ ██      ██▀▀▀▀▀▀
+% ▀██▄     ▄▀██▄   ▄██ ██    ██    ██   ██   ▄██  ██    ██   ██   ██▄    ▄ ██        ██     ███▄    ▄ ██  ██▄    ▄ ██    ██ ██▄    ▄██▄    ▄
+%   ▀▀█████▀  ▀█████▀▄████  ████  ████▄ ██████▀   ▀████▀███▄ ▀████ ▀█████▀████▄      █▀█████▀ █████▀▄████▄ ▀█████▀████  ████▄█████▀  ▀█████▀
+%                                       ██                                                                                                  
+%                                     ▄████▄                                                                                                
+
+\usepackage{forest}
+\tikzset{algpxIndentLine/.style={draw=lightgray}}
+\algrenewcommand{\alglinenumber}[1]{#1}
+
+\newenvironment{algo}[1]{
+    \begin{algorithm}
+        \begin{spacing}{1.2}
+            \caption{\textsc{#1}}
+            \begin{algorithmic}[1]
+                }{
+            \end{algorithmic}
+        \end{spacing}
+    \end{algorithm}
+}

main/style/language.tex

@@ -4,7 +4,7 @@
 
 % Specific styles for language summaries and docs
 \newtcolorbox{conjugation}[2][]{mainboxstyle,colback=blue!5!white,colframe=blue!75!black,colbacktitle=blue!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large \translate{Conjugation}{Konjugation}};},#1}
+    overlay={\node[overlaystyle,draw=blue!75!black,fill=blue!75!black] at (frame.north east) {\large \translate{Conjugation}{Konjugation}};},#1}
 
 \newtcolorbox{forms}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2},
-overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Forms}{Formen}};},#1}
+    overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Forms}{Formen}};},#1}

main/style/math.tex

@@ -4,7 +4,8 @@
 % ██ ██▌▐█▌▐█▪ ▐▌ ▐█▌·██▌▐▀  ▐█▄▪▐█ ▐█▌· ▐█▀·.▐█▌ ▄▐█▄▄▌
 % ▀▀  █▪▀▀▀ ▀  ▀  ▀▀▀ ▀▀▀ ·   ▀▀▀▀  ▀▀▀   ▀ • .▀▀▀  ▀▀▀ 
 
-% Math specific tcolorboxes
+% Replace some commonly used commands with better ones
-\newtcolorbox{formula}[2][]{mainboxstyle,colback=red!5!white,colframe=red!75!black,colbacktitle=red!75!black,title={\large #2},
+\renewcommand{\vec}[1]{\overrightarrow{#1}}
-overlay={\node[overlaystyle,draw=red!75!black,fill=red!75!black] at (frame.north east) {\large \translate{Formula}{Formel}};},#1}
+\renewcommand{\hat}[1]{\widehat{#1}}
-
+\renewcommand{\tilde}[1]{\widetilde{#1}}
+\newcommand{\proven}{$\hspace{17cm}\square$}

main/style/style.tex

@@ -12,32 +12,32 @@
 \newcommand{\usetcolorboxes}{
     \tcbset{
         mainboxstyle/.style={
-            arc=3mm,
+                arc=3mm,
-            colback=red!5!white,
+                colback=red!5!white,
-            colframe=red!75!black,
+                colframe=red!75!black,
-            colbacktitle=red!75!black,
+                colbacktitle=red!75!black,
-            fonttitle=\bfseries,
+                fonttitle=\bfseries,
-            enhanced,
+                enhanced,
-            attach boxed title to top left={yshift=-2mm,xshift=5mm},
+                attach boxed title to top left={yshift=-2mm,xshift=5mm},
-            breakable,
+                breakable,
-            top=0.4cm,
+                top=0.4cm,
-        }
+            }
     }
     \tikzset{
         overlaystyle/.style={
-            draw=red!75!black,
+                draw=red!75!black,
-            thick,
+                thick,
-            fill=red!75!black,
+                fill=red!75!black,
-            left,
+                left,
-            anchor=east,
+                anchor=east,
-            text=white,
+                text=white,
-            rounded corners=1mm,
+                rounded corners=1mm,
-            font=\bfseries,
+                font=\bfseries,
-            xshift=-5mm,
+                xshift=-5mm,
-            yshift=1mm,
+                yshift=1mm,
-            inner xsep=3mm,
+                inner xsep=3mm,
-            inner ysep=1.5mm
+                inner ysep=1.5mm
-        }
+            }
     }
 }
 
@@ -46,18 +46,20 @@
 % -------------------- %
 \renewcommand{\footrulewidth}{0.4pt}
 \newcommand{\TODO}{\color{red} \hl{TODO:} \color{black}}
+\newcommand{\bi}[1]{\textbf{\textit{#1}}}
 
 % Add a color shade (similar to \fhlc, but nicer boxes)
 \newcommand{\background}[3]{\tcbox[on line,
-    boxsep=2pt, 
+        boxsep=2pt,
-    left=0pt,
+        left=0pt,
-    right=0pt,
+        right=0pt,
-    top=0pt,
+        top=0pt,
-    bottom=0pt,
+        bottom=0pt,
-    colframe=white,
+        colframe=white,
-    colback=#1!#2!white,
+        frame empty,
-    highlight math style={enhanced}
+        colback=#1!#2!white,
-] {\textbf{#3}}}
+        highlight math style={enhanced}
+    ] {\textbf{#3}}}
 
 % Abstraction of background, where the brightness is set to 20%
 \newcommand{\shade}[2]{\background{#1}{\arabic{shadeStrength}}{#2}}
@@ -75,6 +77,10 @@
 % Add a colorbox around your text with the color specified. Text is bold and underlined
 \newcommand{\fhlc}[2]{\textbf{\underline{\colorbox{#1}{#2}}}}
 
+% Spacing (horizontal)
+\newcommand{\smallhspace}{\hspace{2mm}}
+\newcommand{\mediumhspace}{\hspace{5mm}}
+\newcommand{\largehspace}{\hspace{1cm}}
 
 % ----------------- %
 % Table of contents %

main/tables.tex

@@ -14,9 +14,9 @@
     \begin{center}
         \begin{tabular}{#1}
             \toprule
-            #2\\
+            #2 \\
             \midrule
-}{  
+            }{
             \bottomrule
         \end{tabular}
     \end{center}
@@ -27,7 +27,7 @@
     \edef\tableCaption{#3}
     \begin{table}[h!]
         \begin{tables}{#1}{#2}
-}{
+            }{
         \end{tables}
         \caption{\tableCaption}
     \end{table}

vscode-snippets/tex.json

@@ -123,6 +123,24 @@
 		],
 		"description": "Inserts a tcolorbox to inform about corollaries"
 	},
+	"Proposition": {
+		"prefix": "proposition",
+		"body": [
+			"\\begin{proposition}[]{$1}",
+			"\t$2",
+			"\\end{proposition}"
+		],
+		"description": "Inserts a tcolorbox to inform about propositions"
+	},
+	"Fact": {
+		"prefix": "fact",
+		"body": [
+			"\\begin{fact}[]{$1}",
+			"\t$2",
+			"\\end{fact}"
+		],
+		"description": "Inserts a tcolorbox to inform about facts"
+	},
 	"Terms": {
 		"prefix": "terms",
 		"body": [
@@ -159,15 +177,24 @@
 		],
 		"description": "Inserts a tcolorbox to show notation"
 	},
-	"Example": {
+    "Example": {
-		"prefix": "example",
+        "prefix": "example",
-		"body": [
+        "body": [
-			"\\begin{example}[]{$1}",
+            "\\begin{example}[]{$1}",
-			"\t$2",
+            "\t$2",
-			"\\end{example}"
+            "\\end{example}"
-		],
+        ],
-		"description": "Inserts a tcolorbox to show example"
+        "description": "Inserts a tcolorbox to show example"
-	},
+    },
+    "Task": {
+        "prefix": "task",
+        "body": [
+            "\\begin{task}[]{$1}",
+            "\t$2",
+            "\\end{task}"
+        ],
+        "description": "Inserts a tcolorbox to show example"
+    },
 	"Usage": {
 		"prefix": "usage",
 		"body": [
@@ -204,6 +231,15 @@
 		],
 		"description": "Inserts a tcolorbox for general purposes. First bracket is title, second one is second title, third one colour"
 	},
+	"Simple-Tcolorbox": {
+		"prefix": "simple-tcb",
+		"body": [
+			"\\begin{simplebox}[]{${1|red,green,blue,cyan,magenta,yellow,black,gray,white,darkgray,lightgray,brown,lime,olive,orange,pink,purple,teal,violet|}}",
+			"\t$2",
+			"\\end{simplebox}"
+		],
+		"description": "Inserts a simple tcolorbox. No title, first argument the colour colour"
+	},
 	"Derivative": {
 		"prefix": "derivative",
 		"body": [
@@ -270,6 +306,30 @@
 			"\\shortcorollary"
 		]
 	},
+	"Proposition (inline)": {
+		"prefix": "proposition-inline",
+		"body": [
+			"\\inlineproposition"
+		]
+	},
+	"Proposition (short)": {
+		"prefix": "proposition-short",
+		"body": [
+			"\\shortproposition"
+		]
+	},
+	"Fact (inline)": {
+		"prefix": "fact-inline",
+		"body": [
+			"\\inlinefact"
+		]
+	},
+	"Fact (short)": {
+		"prefix": "fact-short",
+		"body": [
+			"\\shortfact"
+		]
+	},
 	"Axiom (inline)": {
 		"prefix": "axiom-inline",
 		"body": [
@@ -354,7 +414,7 @@
 			"\\documentclass[12pt,a4paper]{scrlttr2}\n",
 			"\\newcommand{\\dir}{~/projects/latex} % IMPORTANT: No trailing slashes!",
 			"\\input{\\dir/include.tex}",
-			"\\load{recommended}\n",
+			"\\load{letter}\n",
 			"% Subject",
 			"\\setkomavar{subject}{$1}",
 			"\\begin{document}\\raggedright",