update: auto commit

This commit is contained in:
wyj
2026-04-10 01:22:24 -04:00
parent 620e55f360
commit 08f981b21b
+1 -1
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@@ -712,7 +712,7 @@ $}
\] \]
and replace all the spatical derivatives of the original variables with the new auxiliary variables, we got this and replace all the spatical derivatives of the original variables with the new auxiliary variables, we got this
\[ \[
\scalebox{0.5}{$\displaystyle \scalebox{0.45}{$\displaystyle
\begin{aligned} \begin{aligned}
\pt \chi ={}&\frac{2}{3} \chi \left[ \alpha \left( \hat{K} + \pt \chi ={}&\frac{2}{3} \chi \left[ \alpha \left( \hat{K} +
2\Theta \right) - \dshift{^i_i} - \Gam*{^j_j_k} \shift{^k} \right] 2\Theta \right) - \dshift{^i_i} - \Gam*{^j_j_k} \shift{^k} \right]