update: auto commit
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@@ -702,12 +702,14 @@ $}
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\begin{frame}{Searching for a first order Z4c}{old workflow: by hand}
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We introduce the following auxiliary variables:
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\begin{equation}
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\[
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\scalebox{0.8}{$\displaystyle
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\dlapse{_i} \definedby \Partial{_i} \lapse \qc
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\dshift{^i_j} \definedby \Partial{_j} \shift{^i} \qc
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\dchi*{_i} \definedby \spaceD*{_i} \ln(\chi) \qc
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\dsmetric*{_i_j_k} \definedby \Partial{_i} \smetric*{_j_k},
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\end{equation}
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$}
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\]
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and replace all the spatical derivatives of the original variables with the new auxiliary variables, we got this
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\[
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\scalebox{0.6}{$\displaystyle
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