From 462845dbb19004da2554c1ded5fc0c954ceb7282 Mon Sep 17 00:00:00 2001
From: Yingjie Wang <phywyj@gmail.com>
Date: Fri, 10 Apr 2026 00:33:53 -0400
Subject: [PATCH] update: auto commit

---
 report.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/report.tex b/report.tex
index b636495..2c05136 100644
--- a/report.tex
+++ b/report.tex
@@ -386,7 +386,7 @@
     \end{theorem}
   \end{frame}
 
-  \begin{frame}{Searching for a first order Z4c}{First order reduction}
+  \begin{frame}{First order reduction: wave equation as an example}
     \subsection{First order reduction: wave equation as an example}
     We can introduce auxiliary variables to reduce a second order PDE system to a first order one. For example, for the wave equation on flat spacetime:
     \begin{equation}