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Consider a general neutron population moving in a heterogeneous multiplying medium. Let the angular neutron flux be denoted by ( \psi(\mathbf{r}, \hat{\Omega}, E, t) ), defined such that ( \psi , d^3r , d\hat{\Omega} , dE ) gives the expected number of neutrons at position ( \mathbf{r} ), moving in direction ( \hat{\Omega} ), with energy between ( E ) and ( E + dE ), at time ( t ). To derive the neutron transport equation, we apply a balance principle ___ _______ ________ ______ _____ _________ ________ ____.
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