From 0daf8c15668e1678b30214ce262510060df90fc6 Mon Sep 17 00:00:00 2001
From: Janis Hutz <development@janishutz.com>
Date: Thu, 2 Oct 2025 15:01:54 +0200
Subject: [PATCH] [NumCS] Remove comments

---
 .../numcs/parts/01_interpolation/00_polynomial/00_intro.tex  | 5 ++---
 .../numcs/parts/01_interpolation/00_polynomial/01_monome.tex | 2 +-
 2 files changed, 3 insertions(+), 4 deletions(-)

diff --git a/semester3/numcs/parts/01_interpolation/00_polynomial/00_intro.tex b/semester3/numcs/parts/01_interpolation/00_polynomial/00_intro.tex
index a94f6bc..75ac36e 100644
--- a/semester3/numcs/parts/01_interpolation/00_polynomial/00_intro.tex
+++ b/semester3/numcs/parts/01_interpolation/00_polynomial/00_intro.tex
@@ -3,7 +3,7 @@
 % └                                                ┘
 % TODO: If you want your email to be in there, note it down here. 
 % I also did not touch the unedited files to avoid conflicts
-% FIXME: Add subsection here and use \newsection on all further subsections to reset the counters and add a page break
+\subsection{Interpolation und Polynome}
 Bei der Interpolation versuchen wir eine Funktion $\tilde{f}$ durch eine Menge an Datenpunkten einer Funktion $f$ zu finden.\\
 Die $x_i$ heissen Stützstellen/Knoten, für welche $\tilde{f}(x_i) = y_i$ gelten soll. (Interpolationsbedingung)
 \begin{align*}
@@ -36,8 +36,7 @@ Andere Möglichkeiten: $b_j = \cos((j-1)\cos^-1(x))$ \textit{(Chebyshev)} oder $
 \fancytheorem{Peano} $f$ stetig $\implies \exists p(x)$ welches $f$ in $||\cdot||_\infty$ beliebig gut approximiert.
 
 \setcounter{all}{7}
-% FIXME: \inlinedef \textit{(Monom)} = \fancydef{Monom} (exactly the definition of fancy* macros)
 \fancydef{Raum der Polynome} $\mathcal{P}_k := \{ x \mapsto \sum_{j = 0}^{k} \alpha_j x^j \}$
-\inlinedef \textit{(Monom)} $f: x \mapsto x^k$
+\fancydef{Monom} $f: x \mapsto x^k$
 
 \fancytheorem{Eigenschaft von $\mathcal{P}_k$} $\mathcal{P}_k$ ist ein Vektorraum mit $\dim(\mathcal{P}_k) = k+1$.
diff --git a/semester3/numcs/parts/01_interpolation/00_polynomial/01_monome.tex b/semester3/numcs/parts/01_interpolation/00_polynomial/01_monome.tex
index 7da3f84..28cd03c 100644
--- a/semester3/numcs/parts/01_interpolation/00_polynomial/01_monome.tex
+++ b/semester3/numcs/parts/01_interpolation/00_polynomial/01_monome.tex
@@ -1,4 +1,4 @@
-\subsection{Monombasis}
+\subsubsection{Monombasis}
 
 \fancytheorem{Eindeutigkeit} $p(x) \in \mathcal(P)_k$ ist durch $k+1$ Punkte $y_i = p(x_i)$ eindeutig bestimmt.