clarify track-length flux estimator

This commit is contained in:
Ethan Peterson 2023-04-26 12:57:07 -04:00
parent ec883f0fd8
commit 7c5b8e2dad

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@ -179,12 +179,12 @@ n(\mathbf{r}, \mathbf{\hat{\Omega}}, E, t)` and :math:`d\ell = v \, dt` where
Equation :eq:`track-length-integral` indicates that we can use the length of a
particle's trajectory as an estimate for the flux, i.e. the track-length
estimator of the flux would be
estimator of the volume-integrated flux would be
.. math::
:label: track-length-flux
\phi = \frac{1}{W} \sum_{i \in T} w_i \ell_i
V \phi = \frac{1}{W} \sum_{i \in T} w_i \ell_i
where :math:`T` is the set of all the particle's trajectories within the desired
volume and :math:`\ell_i` is the length of the :math:`i`-th trajectory. In the