"

In vector calculus, the

The direction of the

The alternative terminology rotor or rotational and alternative notations rot F and âˆ‡Ã—F are often used (the former especially in many European countries, the latter using the del operator and the cross product) for

Unlike the gradient and divergence,

The name "

See

See Also

*" [Carol White, Energy Potential - Toward a New Electromagnetic Field Theory, page 115]***Curl**is a word coined by Hamilton to denote the fluid rotation over a surface area.In vector calculus, the

**curl**(or rotor) is a vector operator that describes the infinitesimal rotation of a 3-dimensional vector field. At every point in the field, the**curl**is represented by a vector. The attributes of this vector (length and direction) characterize the rotation at that point.The direction of the

**curl**is the axis of rotation, as determined by the right-hand rule, and the magnitude of the**curl**is the magnitude of rotation. If the vector field represents the flow velocity of a moving fluid, then the**curl**is the circulation density of the fluid. 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.The alternative terminology rotor or rotational and alternative notations rot F and âˆ‡Ã—F are often used (the former especially in many European countries, the latter using the del operator and the cross product) for

**curl**and**curl**F.Unlike the gradient and divergence,

**curl**does not generalize as simply to other dimensions; some generalizations are possible, but only in three dimensions is the geometrically defined**curl**of a vector field again a vector field. This is a similar phenomenon as in the 3 dimensional cross product, and the connection is reflected in the notation âˆ‡Ã— for the**curl**.The name "

**curl**" was first suggested by James Clerk Maxwell in 1871. wikipediaSee

**Raleigh Wave**See Also

**Bearden on Tesla and EM Source Charge****Berry Phase****coupling****Eighteen Attributes or Dimensions****Figure 13.05a - Complex Vortex Rotational Dynamics****Heaviside Component****Raleigh Wave****Revolution****Rotation****Rotational-vibrational coupling****Rovibrational coupling****Scalar****Scalar electromagnetics****Stria****Sympathetic Negative Interference**energy moves in circles (vortex)**Vibronic coupling****9.30 - Eighteen Attributes of a Wave****12.11 - Eighteen Attributes or Dimensions**