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}