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1. For each point dV within a volume V there is a scalar value e(dV), which is an amount of radiation emitted from the point.

2. For each point dV there is also a corresponding function q(x,y,z), which is the energy emitted from dV and absorbed throughout the volume. The volume integral of q(x,y,z) is equal to e(dV).

3. For each point dV, an important value is the net energy change from emission and absorption. For each point dV emitted energy is equal to e(dV), but absorbed energy at the point takes the sum of an infinite number of functions q(x,y,z), one for each point dV, and summation occurs at the position dV=(x,y,z). If we call this total absorbed energy Q(dV), then how is it properly expressed? Is Q a functional?

Perhaps it is something like

[itex]Q(dV) = \int_V[q(x,y,z)\cup dV] dV[/itex]

but I don't know.