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update: auto commit

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Yingjie Wang
2026-04-09 20:10:30 -04:00
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@@ -262,7 +262,7 @@
\begin{cases} \begin{cases}
\Partial{t}{\phi} = \pi, \\ \Partial{t}{\phi} = \pi, \\
\Partial{t}{\tensor{\psi}{_i}} = \Partial{i} \pi, \\ \Partial{t}{\tensor{\psi}{_i}} = \Partial{i} \pi, \\
\Partial{t}{\pi} = \pdv{\tensor{\psi}{_i}}{x}. \Partial{t}{\pi} = \tensor{\delta}{^i^j} \Partial{i} \tensor{\psi}{_j}.
\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