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Definition 2024

scalar_curl

scalar curl

English

Noun

scalar curl ‎(plural scalar curls)

(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 $y-x\;$ .