scalar curl

English

Etymology

From scalar + curl.

Noun

scalar curl (plural scalar curls)

1. (mathematics) The coefficient of k in the three-dimensional curl of a two-dimensional vector field.

   Since the curl of the vector field ${\vec {F}}=(xy,xy,0)$ is the vector field ${\vec {\nabla }}\times {\vec {F}}=(0,0,y-x)$, the scalar curl of the vector field ${\vec {G}}=(xy,xy)$ is the scalar field $y-x\;$.