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Rot

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Aka rotation.

For a dimension 2 vector field $V=(A,B)$: $$ {\rm rot}(A,B) = B_x - A_y.$$ where $B_x, A_y$ are the partial derivatives of the component functions.

ABvs-BA.png

The rotation assign to a vector field a certain scalar function.

Compare to divergence in dimension 3.