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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 $(\setR^3)^*$.
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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 $(\setR^3)^*$.
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\end{frame}
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\end{frame}
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\begin{frame}{Towards first order Z4c}{First order reduction}
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The principal symbol matrix is
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\begin{equation}
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\tensor{P}{^I_J}(\xi) = \begin{pmatrix}
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0 & 0 & 0 \\
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0 & 0 & -\tensor{\xi}{_i} \\
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0 & -\tensor{\xi}{^i} & 0
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\end{pmatrix},
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\end{equation}
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\end{frame}
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\begin{frame}{Existing first order formulations}
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\begin{frame}{Existing first order formulations}
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\subsection{Existing first order formulations}
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\subsection{Existing first order formulations}
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\begin{itemize}
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\begin{itemize}
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