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$\newcommand{\vec}[1]{\boldsymbol{\mathbf{#1}}}$
$$L_{\mathsf o}(\vec \omega_{\mathsf o}, \vec \omega_{\mathsf i}) = L_{\mathsf e}(\vec \omega_{\mathsf o}) + \int_\Omega f(\vec \omega_{\mathsf o}, \vec \omega_{\mathsf i}) L_{\mathsf i}(\vec \omega_{\mathsf i}) \vec\omega_{\mathsf i} \cdot \vec \nu \;\mathrm d \vec\omega_{\mathsf i} $$
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