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Boundary condition for a semitransparent particle under diffuse irradiation using the P₁ approximation
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header.tex
% shorthand for partial and substantial derivative \newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}} \newcommand{\od}[2]{\frac{\mathrm{d} #1}{\mathrm{d} #2}} \newcommand{\sd}[2]{\frac{\mathrm{D} #1}{\mathrm{D} #2}} \newcommand{\Dt}[1]{\dot{#1}} \newcommand{\DDt}[1]{\ddot{#1}} \newcommand{\dif}[0]{\, \mathrm{d}} \newcommand{\apd}[1]{\partial_{#1}} \newcommand{\ud}{\mathrm{d}} \newcommand{\up}[1]{\mathrm{#1}} \newcommand{\vect}[1]{{\vec{\mathbf{#1}}}} \newcommand{\uvect}[1]{{\hat{\mathbf{#1}}}} \newcommand{\define}{\stackrel{\text{\tiny def}}{=}} \newcommand{\hemi}{\textpmhg{t}} \newcommand{\wiggle}[1]{\widetilde{#1}} \newcommand{\dt}[0]{\Delta t \,} \newcommand\scalemath[2]{\scalebox{#1}{\mbox{\ensuremath{\displaystyle #2}}}} \newcommand{\avg}[1]{\langle{#1}\rangle}