From c7b1de220cc5aabfe3b4e66653ce6f6e0d7f09b0 Mon Sep 17 00:00:00 2001
From: Yingjie Wang <phywyj@gmail.com>
Date: Thu, 9 Apr 2026 21:25:59 -0400
Subject: [PATCH] update: auto commit

---
 report.tex | 11 +----------
 1 file changed, 1 insertion(+), 10 deletions(-)

diff --git a/report.tex b/report.tex
index 2f4126f..a734844 100644
--- a/report.tex
+++ b/report.tex
@@ -332,16 +332,7 @@
   \end{frame}
 
   \begin{frame}{Towards first order Z4c}{constraints during the reduction}
-    We have to check if the constraint damping term will change the hyperbolicity of the system. The new system has
-    \begin{equation}
-      \tensor{A}{^i^I_J} = \begin{pmatrix}
-        0 & 0 & 0 \\
-        0 & 0 & -\tensor{e}{_i} \\
-        -\gamma \tensor{e}{^i} & -\tensor{e}{^i} & 0
-      \end{pmatrix} \qc
-      S=-\gamma \mqty(0 \\ 0 \\ \myvec{\psi}),
-    \end{equation}
-    thus the principal symbol matrix is
+    We have to check if the constraint damping term will change the hyperbolicity of the system. The new principal symbol matrix is
     \begin{equation}
       \tensor{P}{^I_J}(\xi) = \begin{pmatrix}
         0 & 0 & 0 \\