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Merge pull request #156 from grzegorzbor/spectra-doc-fix
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spectra documentation fix
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cosimoNigro authored Apr 5, 2024
2 parents 7afc1f8 + b904fc3 commit 75ab0b7
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4 changes: 2 additions & 2 deletions docs/spectra.rst
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Expand Up @@ -36,8 +36,8 @@ A *normalisation* of the distribution is often provided, which can be of differe
Some authors use an *integral* normalisation. That is, the normalisation value provided might represent:

- the total volume density, :math:`n_{\rm tot} = \int {\rm d \gamma} \, n(\gamma)`, in :math:`{\rm cm}^{-3}`;
- the total energy density, :math:`u_{\rm tot} = \int {\rm d \gamma} \, \gamma \, n(\gamma)`, in :math:`{\rm erg}\,{\rm cm}^{-3}`;
- the total energy in particles, :math:`W = m c^2 \, \int {\rm d \gamma} \, \gamma \, n(\gamma)`, in :math:`{\rm erg}`.
- the total energy density, :math:`u_{\rm tot} = m c^2 \, \int {\rm d \gamma} \, \gamma \, n(\gamma)`, in :math:`{\rm erg}\,{\rm cm}^{-3}`;
- the total energy in particles, :math:`W = V m c^2 \, \int {\rm d \gamma} \, \gamma \, n(\gamma)`, in :math:`{\rm erg}`.

Others use a *differential* normalisation, that is, the normalisation value provided directly represents the constant,
:math:`k`, multiplying the analytical function, e.g. for a power law
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