From 86c335eef1f2b94676fd7c83225170d8af8919f0 Mon Sep 17 00:00:00 2001
From: Yingjie Wang <phywyj@gmail.com>
Date: Fri, 10 Apr 2026 01:51:47 -0400
Subject: [PATCH] update: auto commit

---
 report.tex | 4 +++-
 1 file changed, 3 insertions(+), 1 deletion(-)

diff --git a/report.tex b/report.tex
index 43d87de..1ba8886 100644
--- a/report.tex
+++ b/report.tex
@@ -810,7 +810,7 @@ $}
   \end{frame}
 
   \begin{frame}{Searching for a first order Z4c}{old workflow: by hand}
-    The most simple way to damp the constraints:
+    The most simple terms to damp the constraints:
     \[
     \scalebox{0.8}{$\displaystyle
     \begin{aligned}
@@ -822,6 +822,8 @@ $}
     $}
     \]
     where $c_1$, $c_2$, $c_3$ and $c_4$ are positive constants that large enough (the lower bound can be calculated).
+
+    {\large\color{red} \textbf{Unfortunately, this system is not even weakly hyperbolic!}}
   \end{frame}
 
   \begin{frame}{References}