From bff623155e99f72a8cc9a0aa362d52f2a17b7446 Mon Sep 17 00:00:00 2001
From: Bela Gabriel Schneider <b.g.schneider@student.rug.nl>
Date: Thu, 20 Mar 2025 15:50:27 +0000
Subject: [PATCH 1/2] Update on Overleaf.

---
 main.tex | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/main.tex b/main.tex
index aa16097..aa7fa27 100644
--- a/main.tex
+++ b/main.tex
@@ -146,7 +146,7 @@ code-for-last-col = \color{blue}
             \item homogeneous: $N3$ and $L(8,1)$
             \item inhomogeneous: $N2 \equiv L(8,3)$
         \end{enumerate}
-        \item Results: inhomogeneous spaces have more variety in CMB anisotropies than homogeneous spaces, because observer dependency changes the suppression of CMB anisotropies.
+        \item Results: inhomogeneous spaces have more variety in CMB anisotropies than homogeneous spaces, because different observation points have 
 	\end{itemize}
 
 
@@ -192,7 +192,7 @@ Which examines $\langle \textcolor{blue}{a_{\ell m}} \rangle$ across multipole r
 		\includegraphics[width=0.7\linewidth]{DSE-Test Graph}
 		\caption{The decorrelated band mean spectrum obtained by the seven-year WMAP data [9].}
 	\end{figure}
-\textcolor{red}{Remark}In a positively curved space certain multipoles scales being preferred or suppressed in the CMB power spectrum.
+\textcolor{red}{Remark}: In a positively curved space certain multipoles scales being preferred or suppressed in the CMB power spectrum.
 
 \end{frame}
 

From c20850d554c6caa217c97909f8a469780e60fae1 Mon Sep 17 00:00:00 2001
From: Javier Gustavo Vela Castro <j.g.vela.castro@student.rug.nl>
Date: Thu, 20 Mar 2025 16:10:07 +0000
Subject: [PATCH 2/2] Update on Overleaf.

---
 main.tex | 7 ++-----
 1 file changed, 2 insertions(+), 5 deletions(-)

diff --git a/main.tex b/main.tex
index aa7fa27..43351c1 100644
--- a/main.tex
+++ b/main.tex
@@ -76,11 +76,8 @@ code-for-last-col = \color{blue}
 \end{frame}
 
 % should we make is so that these bullet points appear one after another? Yes
-\begin{frame}{Abstracting Independence - Motivation}
-	\begin{itemize}
-		\item 1
-		\item 2
-	\end{itemize}
+\begin{frame}{Introduction}
+
 \end{frame}
 
 \include{prerequisites}