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Yingjie Wang
2026-04-10 01:18:27 -04:00
parent be2a7bc007
commit 68a93429a6
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@@ -702,12 +702,14 @@ $}
\begin{frame}{Searching for a first order Z4c}{old workflow: by hand} \begin{frame}{Searching for a first order Z4c}{old workflow: by hand}
We introduce the following auxiliary variables: We introduce the following auxiliary variables:
\begin{equation} \[
\scalebox{0.8}{$\displaystyle
\dlapse{_i} \definedby \Partial{_i} \lapse \qc \dlapse{_i} \definedby \Partial{_i} \lapse \qc
\dshift{^i_j} \definedby \Partial{_j} \shift{^i} \qc \dshift{^i_j} \definedby \Partial{_j} \shift{^i} \qc
\dchi*{_i} \definedby \spaceD*{_i} \ln(\chi) \qc \dchi*{_i} \definedby \spaceD*{_i} \ln(\chi) \qc
\dsmetric*{_i_j_k} \definedby \Partial{_i} \smetric*{_j_k}, \dsmetric*{_i_j_k} \definedby \Partial{_i} \smetric*{_j_k},
\end{equation} $}
\]
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{0.6}{$\displaystyle \scalebox{0.6}{$\displaystyle