update: auto commit

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2026-04-10 02:01:20 -04:00
parent 308f46acf7
commit c08927672f
+6 -2
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@@ -831,11 +831,15 @@ $}
We have to add some constraint terms that equals to zero, while contributes to the principal symbol, until the principal symbol matrix is diagonalizable with real eigenvalues.
Available terms to add:
\begin{gather*}
\[
\scalebox{0.8}{$\displaystyle
\begin{aligned}
\constraintA{_i} \qc \constraintB{^i_j} \qc \constraintC*{_i} \qc \constraintD*{_i_j_k},\\
\Partial{_{[i}} \constraintA{_{j]}} = \Partial{_{[i}} \dlapse{_{j]}} \qc \Partial{_{[i}} \constraintB{^j_{k]}} = \Partial{_{[i}} \dshift{^j_{k]}} \qc \Partial{_{[i}} \constraintC*{_{j]}} = \Partial{_{[i}} \dchi*{_{j]}} \qc \Partial{_{[i}} \constraintD*{_{j]kl}} = \Partial{_{[i}} \dsmetric*{_{j]kl}},\\
\Partial{_i} \left( \smetric*{^j^k} \Ktf*{_j_k} \right) \qc \Partial{_i} \left( \smetric*{^k^l} \dsmetric*{_j_k_l} \right)
\end{gather*}
\end{aligned}
$}
\]
\end{frame}
\begin{frame}{References}