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update: auto commit

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Yingjie Wang
2026-04-09 20:09:29 -04:00
parent 6c628abc14
commit 498b710492
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report.tex
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@@ -261,8 +261,8 @@
\begin{equation} \begin{equation}
\begin{cases} \begin{cases}
\Partial{t}{\phi} = \pi, \\ \Partial{t}{\phi} = \pi, \\
\pdvt{\psi} = \pdv{\pi}{x}, \\ \Partial{t}{\tensor{\psi}{_i}} = \pdv{\pi}{x}, \\
\pdvt{\pi} = \pdv{\psi}{x}. \Partial{t}{\pi} = \pdv{\tensor{\psi}{_i}}{x}.
\end{cases} \end{cases}
\end{equation} \end{equation}
write $u^I = (\phi, \pi, \psi)$, then the system can be written in the form of~\eqref{first-order-PDE} with write $u^I = (\phi, \pi, \psi)$, then the system can be written in the form of~\eqref{first-order-PDE} with