diff --git a/README.md b/README.md index 7f24b2a..3462133 100644 --- a/README.md +++ b/README.md @@ -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}` |