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Fix a missing transpose. #14863

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Mar 13, 2023
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4 changes: 2 additions & 2 deletions examples/step-69/doc/intro.dox
Original file line number Diff line number Diff line change
Expand Up @@ -65,7 +65,7 @@ where $\mathbf{u}(\textbf{x},t):\mathbb{R}^{d} \times \mathbb{R}
dimension. We say that $\mathbf{u} \in \mathbb{R}^{d+2}$ is the state and
$\mathbb{f}(\mathbf{u}) \in \mathbb{R}^{(d+2) \times d}$ is the flux of
the system. In the case of Euler's equations the state is given by
$\textbf{u} = [\rho, \textbf{m},E]^{\top}$: where $\rho \in \mathbb{R}^+$
$\textbf{u} = [\rho, \textbf{m}^\top,E]^{\top}$: where $\rho \in \mathbb{R}^+$
denotes the density, $\textbf{m} \in \mathbb{R}^d$ is the momentum, and $E
\in \mathbb{R}^+$ is the total energy of the system. The flux of the system
$\mathbb{f}(\mathbf{u})$ is defined as
Expand Down Expand Up @@ -129,7 +129,7 @@ to satisfy the constraint $\textbf{u}(\mathbf{x},t) \in \mathcal{B}$ for
all $\mathbf{x} \in \Omega$ and $t \geq 0$ where
@f{align}
\mathcal{B} = \big\{ \textbf{u} =
[\rho, \textbf{m},E]^{\top} \in \mathbb{R}^{d+2} \, \big |
[\rho, \textbf{m}^\top,E]^{\top} \in \mathbb{R}^{d+2} \, \big |
\
\rho > 0 \, ,
\
Expand Down