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@@ -48,7 +48,7 @@ for batch in dataloader:
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  The fluid sector consists of the following system of equations.
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- ```math
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  \begin{align}
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  \partial_t \left(\sqrt{g}\rho_0 u^t\right) + \partial_i\left(\sqrt{g}\rho_0u^i\right)
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  &= 0\\
@@ -59,14 +59,14 @@ The fluid sector consists of the following system of equations.
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  \partial_t\left(\sqrt{g}\rho_0 Y_e u^t\right) + \partial_i\left(\sqrt{g}\rho_0Y_eu^i\right)
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  &= \sqrt{g} G_{\text{ye}}\\
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  \end{align}
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- ```
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  The standard radiative transfer equation is
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- ```math
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  \begin{equation}
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  \frac{D}{d\lambda}\left(\frac{h^3\mathcal{I}_{\nu,f}}{\varepsilon^3}\right) = \left(\frac{h^2\eta_{\nu,f}}{\varepsilon^2}\right) - \left(\frac{\varepsilon \chi_{\nu,f}}{h}\right) \left(\frac{h^3\mathcal{I}_{\nu,f}}{\varepsilon^3}\right),
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  \end{equation}
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- ```
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  <p align="center"> <img src="https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/post_neutron_star_merger/gif/Ye_good_normalized.gif" width="50%"></p>
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@@ -98,9 +98,9 @@ Table: VRMSE metrics on test sets (lower is better). Best results are shown in b
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  **Simulation time-step:** approximately 0.01 in code units. Physical time varies; roughly 147 nanoseconds for fiducial model.
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- **Data are stored separated by (\\(\Delta t\\)):** 50 in code units. Physical time varies; roughly 0.6 milliseconds for fiducial model.
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- **Total time range (\\(t_{min}\\) to \\(t_{max}\\)):** 10000 in code units. Physical time varies; roughly 127 milliseocnds for fudicial model
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  **Spatial domain size:** Spherical coordinates. Radius roughly 2 to 1000 in code units. Physical values vary. Outer boundary is at roughly 4000 for fiducial model. Polar angle 0 to pi. Azimuthal angle 0 to 2*pi. Note that the coordinates are curvilinear. In Cartesian space, spacing is logarithmic in radius and there is a focusing of grid lines near the equator.
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  The fluid sector consists of the following system of equations.
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+ $$
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  \begin{align}
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  \partial_t \left(\sqrt{g}\rho_0 u^t\right) + \partial_i\left(\sqrt{g}\rho_0u^i\right)
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  &= 0\\
 
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  \partial_t\left(\sqrt{g}\rho_0 Y_e u^t\right) + \partial_i\left(\sqrt{g}\rho_0Y_eu^i\right)
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  &= \sqrt{g} G_{\text{ye}}\\
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  \end{align}
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+ $$
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  The standard radiative transfer equation is
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+ $$
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  \begin{equation}
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  \frac{D}{d\lambda}\left(\frac{h^3\mathcal{I}_{\nu,f}}{\varepsilon^3}\right) = \left(\frac{h^2\eta_{\nu,f}}{\varepsilon^2}\right) - \left(\frac{\varepsilon \chi_{\nu,f}}{h}\right) \left(\frac{h^3\mathcal{I}_{\nu,f}}{\varepsilon^3}\right),
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  \end{equation}
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+ $$
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  <p align="center"> <img src="https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/post_neutron_star_merger/gif/Ye_good_normalized.gif" width="50%"></p>
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  **Simulation time-step:** approximately 0.01 in code units. Physical time varies; roughly 147 nanoseconds for fiducial model.
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+ **Data are stored separated by ( \\(\Delta t\\)):** 50 in code units. Physical time varies; roughly 0.6 milliseconds for fiducial model.
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+ **Total time range ( \\(t_{min}\\) to \\(t_{max}\\)):** 10000 in code units. Physical time varies; roughly 127 milliseocnds for fudicial model
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  **Spatial domain size:** Spherical coordinates. Radius roughly 2 to 1000 in code units. Physical values vary. Outer boundary is at roughly 4000 for fiducial model. Polar angle 0 to pi. Azimuthal angle 0 to 2*pi. Note that the coordinates are curvilinear. In Cartesian space, spacing is logarithmic in radius and there is a focusing of grid lines near the equator.
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