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Test latex formatting
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brryan committed Jan 7, 2025
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Expand Up @@ -8,10 +8,10 @@ Performance Portable Opacity and Emissivity library for simulation codes
## API

singularity-opac provides a uniform API for all opacity models. The following functions are provided
(here, `\sigma` is the frequency- and angle-dependent cross section in units of `cm^2`):
(here, $\sigma$ is the frequency- and angle-dependent cross section in units of `cm^2`):
| Function | Expression | Description | Units |
| --------------------- | ---------- | --------------------- | ------- |
| AbsorptionCoefficient | `n \sigma` | Absorption coefficient | `cm^{-1}` |
| AbsorptionCoefficient | $n \sigma$ | Absorption coefficient | `cm^{-1}` |
| AngleAveragedAbsorptionCoefficient | `\frac{1}{4 \pi}\int n \sigma d\Omega` | Absorption coefficient averaged over solid angle | `cm^{-1}` |
| EmissivityPerNuOmega | `j_{\nu} = \frac{dE}{d^3x dt d\Omega d\nu}` | Frequency- and angle-dependent emissivity | `erg cm^{-3} s^{-1} Sr^{-1} Hz^{-1}` |
| EmissivityPerNu | `\int j_{\nu} d\Omega` | Frequency-dependent emissivity | `erg cm^{-3} s^{-1} Hz^{-1}` |
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