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Divergence ( $\nabla \cdot$ , $d i v ()$ )

Takes a vector field as input and produces a scalar field.

Mnemonic: it gives out the amount of fluid that is going in or out of a given volume per unit of time.

Therefore, if you take a cubic volume:

the input has to be the 6 flows across each face, therefore 3 derivatives
the output is the variation of the quantity of fluid, and therefore a scalar

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