From f2d2299e8bc22580b8428c2ae0db44005bc676af Mon Sep 17 00:00:00 2001
From: Janis Hutz <info@janishutz.com>
Date: Tue, 1 Apr 2025 12:55:15 +0200
Subject: [PATCH] Improve formulas

---
 main/math.tex           |  3 ---
 main/style/counters.tex | 10 +++++++++-
 main/style/math.tex     |  8 ++++----
 3 files changed, 13 insertions(+), 8 deletions(-)

diff --git a/main/math.tex b/main/math.tex
index 5a47859..fab0602 100644
--- a/main/math.tex
+++ b/main/math.tex
@@ -8,9 +8,6 @@
 % ▄███▄ ▀▀  ▄████▄████▀██▄ ▀███████  ████▄
                                         
 
-\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}}
diff --git a/main/style/counters.tex b/main/style/counters.tex
index acae00a..d797006 100644
--- a/main/style/counters.tex
+++ b/main/style/counters.tex
@@ -14,6 +14,7 @@
 \newcounter{examples}
 \newcounter{facts}
 \newcounter{propositions}
+\newcounter{formulas}
 \newcounter{all}
 
 \newcommand{\useSubsection}{\ifnum\value{numberSubsections}>0{\arabic{subsection}.}\else{}\fi}
@@ -42,6 +43,7 @@
     \setcounter{examples}{1}
     \setcounter{facts}{1}
     \setcounter{propositions}{1}
+    \setcounter{formulas}{1}
     \setcounter{all}{1}
 }
 \newsectionNoPB
@@ -78,10 +80,14 @@ overlay={\node[overlaystyle,draw=Cyan!75!black,fill=Cyan!75!black] at (frame.nor
 \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}
 
+% 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{\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{\inlineaxiom}{\bg{JungleGreen}{Axiom \usenumberArabic{axioms}:}}
@@ -93,6 +99,7 @@ overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.nor
 % Enhanced inline environments
 \newcommand{\compactexample}[1]{\bg{gray}{\translate{Example}{Beispiel} \usenumberArabic{examples}:} \textit{#1}}
 \newcommand{\compactdefinition}[1]{\bg{blue}{Definition \usenumberArabic{definitions}:} \textit{#1}}
+\newcommand{\compactformula}[1]{\bg{red}{\translate{Formula}{Formel} \usenumberArabic{formulas}:} \textit{#1}}
 \newcommand{\compactlemma}[1]{\bg{Aquamarine}{Lemma \usenumberArabic{lemmas}:} \textit{#1}}
 \newcommand{\compacttheorem}[1]{\bg{ForestGreen}{Theorem \usenumberArabic{theorems}:} \textit{#1}}
 \newcommand{\compactaxiom}[1]{\bg{JungleGreen}{Axiom \usenumberArabic{axioms}:} \textit{#1}}
@@ -104,10 +111,11 @@ overlay={\node[overlaystyle,draw=gray!75!black,fill=gray!75!black] at (frame.nor
 % short environments (abbreviated)
 \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{\shortaxiom}{\bg{JungleGreen}{A \usenumberArabic{axioms}:}}
 \newcommand{\shortcorollary}{\bg{teal}{\translate{C}{K} \usenumberArabic{corollaries}:}}
-\newcommand{\shortfact}{\bg{SeaGreen}{\translate{F}{F} \usenumberArabic{facts}:}}
+\newcommand{\shortfact}{\bg{SeaGreen}{F \usenumberArabic{facts}:}}
 \newcommand{\shortproposition}{\bg{Cyan}{\translate{P}{S} \usenumberArabic{propositions}:}}
 \newcommand{\shortproof}{\bg{magenta}{\translate{Proof}{Beweis}:}}
diff --git a/main/style/math.tex b/main/style/math.tex
index 128b212..c1ed9a2 100644
--- a/main/style/math.tex
+++ b/main/style/math.tex
@@ -4,7 +4,7 @@
 % ██ ██▌▐█▌▐█▪ ▐▌ ▐█▌·██▌▐▀  ▐█▄▪▐█ ▐█▌· ▐█▀·.▐█▌ ▄▐█▄▄▌
 % ▀▀  █▪▀▀▀ ▀  ▀  ▀▀▀ ▀▀▀ ·   ▀▀▀▀  ▀▀▀   ▀ • .▀▀▀  ▀▀▀ 
 
-% Math specific tcolorboxes
-\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}};},#1}
-
+% Replace some commonly used commands with better ones
+\renewcommand{\vec}[1]{\overrightarrow{#1}}
+\renewcommand{\hat}[1]{\widehat{#1}}
+\renewcommand{\tilde}[1]{\widetilde{#1}}