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Mathematically, the divergence is noted by:
where <math>\nabla</math> is the vector differential operator del and F is the vector field that the divergence operator is being applied to. Expanded, the notation looks like this:
if F = [Fx, Fy, Fz]
A closer examination of the pattern in the expanded divergence reveals that it can be thought of as being like a dot product between <math>\nabla</math> and F if <math>\nabla</math> was:
and its components were thought to apply their respective derivatives to whatever they are multiplied by.
See also:
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