diff --git a/report.tex b/report.tex
index b9a616d..c81519c 100644
--- a/report.tex
+++ b/report.tex
@@ -877,8 +877,9 @@ $}
       \item What's hard:
       \begin{itemize}
         \item The principle symbol matrix is large, and it's hard to evaluate if it's diagonalizable or not.
+        \item There are many available terms to add, and there is no general principle on how to choose the terms that are more likely to recover the hyperbolicity.
       \end{itemize}
-      \item What's the best we have:
+      \item What's the best we got so far:
       \begin{itemize}
         \item A weakly hyperbolic system.
       \end{itemize}