update: auto commit

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2026-04-09 20:22:44 -04:00
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where $\tensor{e}{^i}$ is the standard column vector basis of $\setR^3$, while $\tensor{e}{_i}$ is the standard row vector basis of $(\setR^3)^*$.
\end{frame}
\begin{frame}{Towards first order Z4c}{First order reduction}
The principal symbol matrix is
\begin{equation}
\tensor{P}{^I_J}(\xi) = \begin{pmatrix}
0 & 0 & 0 \\
0 & 0 & -\tensor{\xi}{_i} \\
0 & -\tensor{\xi}{^i} & 0
\end{pmatrix},
\end{equation}
\end{frame}
\begin{frame}{Existing first order formulations}
\subsection{Existing first order formulations}
\begin{itemize}