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Curls

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SPOOLS.

Last seen on: Vulture Saturday, 13 May 2023 Crossword Answers

Random information on the term “Curls”:

In vector calculus, the curl is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space. The curl at a point in the field is represented by a vector whose length and direction denote the magnitude and axis of the maximum circulation. The curl of a field is formally defined as the circulation density at each point of the field.

A vector field whose curl is zero is called irrotational. The curl is a form of differentiation for vector fields. The corresponding form of the fundamental theorem of calculus is Stokes’ theorem, which relates the surface integral of the curl of a vector field to the line integral of the vector field around the boundary curve.

Curl F is a notation common today to the United States and Americas. In many European countries, particularly in classic scientific literature, the alternative notation rot F is traditionally used, which is spelled as “rotor”, and comes from the “rate of rotation”, which it represents. To avoid confusion, modern authors tend to use the cross product notation with the del (nabla) operator ∇ × F {\displaystyle \nabla \times \mathbf {F} } which also reveals the relation between curl (rotor), divergence, and gradient operators.

Curls on Wikipedia

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