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brryan committed Jan 8, 2025
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22 changes: 11 additions & 11 deletions README.md
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@@ -15,15 +15,15 @@ For frequency-dependent absorption opacities, the following functions are provid
| --------------------- | ---------- | --------------------- | ------- |
| AbsorptionCoefficient | $n \sigma$ | Absorption coefficient | ${\rm cm}^{-1}$ |
| AngleAveragedAbsorptionCoefficient | $\frac{1}{4 \pi}\int n \sigma d\Omega$ | Absorption coefficient averaged over solid angle | ${\rm cm}^{-1}$ |
| 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 | ${\rm erg}~{\rm cm}^{-3}~{\rm s}^{-1}~{\rm Hz}^{-1}$ |
| Emissivity | $\int j_{\nu} d\nu d\Omega$ | Total emissivity | ${\rm erg}~{\rm cm}^{-3}~{\rm s}^{-1}$ |
| NumberEmissivity | $\int \frac{1}{h \nu} j_{\nu} d\Omega d\nu$ | Total number emissivity | ${\rm cm}^{-3}~{\rm s}^{-1}$ |
| ThermalDistributionOfTNu | $B_{\nu} = \frac{dE}{dA dt d\Omega d\nu}$ | Specific intensity of thermal distribution | ${\rm erg}~{\rm cm}^{-2}~{\rm s}^{-1}~{\rm Sr}^{-1}~{\rm Hz}^{-1}$ |
| DThermalDistributionOfTNuDT | $dB_{\nu}/dT$ | Temperature derivative of specific intensity of thermal distribution | ${\rm erg}~{\rm cm}^{-2}~{\rm s}^{-1}~{\rm Sr}^{-1}~{\rm Hz}^{-1}~{\rm K}^{-1}$ |
| ThermalDistributionOfT | $B = \int B_{\nu} d\Omega d\nu$ | Frequency- and angle-integrated intensity of thermal distribution | ${\rm erg}~{\rm cm}^{-2}~{\rm s}^{-1}$ |
| ThermalNumberDistributionOfT | $B = \int \frac{1}{h \nu} B_{\nu} d\Omega d\nu$ | Frequency- and angle-integrated intensity of thermal distribution | ${\rm erg}~{\rm cm}^{-2}~{\rm s}^{-1}$ |
| EnergyDensityFromTemperature | $E_{\rm R}$ | Radiation energy density | ${\rm erg}~{\rm cm}^{-3}$ |
| EmissivityPerNuOmega | $j_{\nu} = \frac{dE}{d^3x dt d\Omega d\nu}$ | Frequency- and angle-dependent emissivity | ${\rm erg}{\rm cm}^{-3}{\rm s}^{-1}{\rm Hz}^{-1}{\rm Sr}^{-1}$ |
| EmissivityPerNu | $\int j_{\nu} d\Omega$ | Frequency-dependent emissivity | ${\rm erg}{\rm cm}^{-3}{\rm s}^{-1}{\rm Hz}^{-1}$ |
| Emissivity | $\int j_{\nu} d\nu d\Omega$ | Total emissivity | ${\rm erg}{\rm cm}^{-3}{\rm s}^{-1}$ |
| NumberEmissivity | $\int \frac{1}{h \nu} j_{\nu} d\Omega d\nu$ | Total number emissivity | ${\rm cm}^{-3}{\rm s}^{-1}$ |
| ThermalDistributionOfTNu | $B_{\nu} = \frac{dE}{dA dt d\Omega d\nu}$ | Specific intensity of thermal distribution | ${\rm erg}{\rm cm}^{-2}{\rm s}^{-1}{\rm Sr}^{-1}{\rm Hz}^{-1}$ |
| DThermalDistributionOfTNuDT | $dB_{\nu}/dT$ | Temperature derivative of specific intensity of thermal distribution | ${\rm erg}{\rm cm}^{-2}{\rm s}^{-1}{\rm Sr}^{-1}{\rm Hz}^{-1}{\rm K}^{-1}$ |
| ThermalDistributionOfT | $B = \int B_{\nu} d\Omega d\nu$ | Frequency- and angle-integrated intensity of thermal distribution | ${\rm erg}{\rm cm}^{-2}{\rm s}^{-1}$ |
| ThermalNumberDistributionOfT | $B = \int \frac{1}{h \nu} B_{\nu} d\Omega d\nu$ | Frequency- and angle-integrated intensity of thermal distribution | ${\rm erg}{\rm cm}^{-2}{\rm s}^{-1}$ |
| EnergyDensityFromTemperature | $E_{\rm R}$ | Radiation energy density | ${\rm erg}{\rm cm}^{-3}$ |
| TemperatureFromEnergyDensity | $T_{\rm R}$ | Radiation temperature | ${\rm K}$ |
| NumberDensityFromTemperature | $n_{\rm R}$ | Radiation number density | ${\rm cm}^{-3}$ |

@@ -49,7 +49,7 @@ For mean absorption opacities, the following functions are provided:
| PlankMeanAbsorptionCoefficient | $n \sigma$ | Absorption coefficient | ${\rm cm}^{-1}$ |
| RosselandMeanAbsorptionCoefficient | $n \sigma$ | Absorption coefficient | ${\rm cm}^{-1}$ |
| AbsorptionCoefficient | $n \sigma$ | Absorption coefficient | ${\rm cm}^{-1}$ |
| Emissivity | $\int j_{\nu} d\nu d\Omega$ | Total emissivity | ${\rm erg}~{\rm cm}^{-3}~{\rm s}^{-1}$ |
| Emissivity | $\int j_{\nu} d\nu d\Omega$ | Total emissivity | ${\rm erg}{\rm cm}^{-3}{\rm s}^{-1}$ |

with the following function signatures:

@@ -62,7 +62,7 @@ For frequency-dependent scattering opacities, the following functions are provid
| Function | Expression | Description | Units |
| --------------------- | ---------- | --------------------- | ------- |
| TotalCrossSection | $ \sigma$ | Scattering cross section | ${\rm cm}^{2}$ |
| DifferentialCrossSection | $ d\sigma / d \Omega $ | Differential scattering cross section | ${\rm cm}^{2}~{\rm Sr}^{-1}$ |
| DifferentialCrossSection | $ d\sigma / d \Omega $ | Differential scattering cross section | ${\rm cm}^{2}{\rm Sr}^{-1}$ |
| TotalScatteringCoefficient | $ n \sigma $ | Scattering coefficient | ${\rm cm}^{-1}$ |

with the following function signatures:

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