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Curl
From Mathematics Is A Science
Jump to navigationJump to searchThe curl of a vector field $V=(F,G,H)$ in dimension 2 is defined by: $${\rm curl}(F,G,H) = (G_x - F_y, H_y - G_z, F_z - H_x).$$ given via the partial derivatives of the component functions.
It's a new vector field.
See also divergence and gradient for the other main operators of vector calculus.
The relation between them is best understood via differential forms.
