curl of a vector field

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• Vector field — In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a (locally) Euclidean space.Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid… …   Wikipedia

• Conservative vector field — In vector calculus a conservative vector field is a vector field which is the gradient of a function, known in this context as a scalar potential. Conservative vector fields have the property that the line integral from one point to another is… …   Wikipedia

• Complex lamellar vector field — In vector calculus, a complex lamellar vector field is a vector field in three dimensions which is orthogonal to its own curl. That is, Complex lamellar vector fields are precisely those that are normal to a family of surfaces. A special case are …   Wikipedia

• Laplacian vector field — In vector calculus, a Laplacian vector field is a vector field which is both irrotational and incompressible. If the field is denoted as v, then it is described by the following differential equations:: abla imes mathbf{v} = 0, : abla cdot… …   Wikipedia

• Curl (mathematics) — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Vector calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Vector calculus identities — The following identities are important in vector calculus:ingle operators (summary)This section explicitly lists what some symbols mean for clarity.DivergenceDivergence of a vector fieldFor a vector field mathbf{v} , divergence is generally… …   Wikipedia

• Vector spherical harmonics — In mathematics, vector spherical harmonics (VSH) are an extension of the scalar spherical harmonics for the use with vector fields.DefinitionSeveral conventions have been used to define the VSH [R.G. Barrera, G.A. Estévez and J. Giraldo, Vector… …   Wikipedia

• Curl — or CURL may refer to: Curl (mathematics), a vector operator that shows a vector field s rate of rotation Biceps curl or wrist curl, weight training exercises In technology Curl (programming language), an object oriented programming language… …   Wikipedia

• Vector potential — In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential , which is a scalar field whose negative gradient is a given vector field.Formally, given a vector field v, a… …   Wikipedia

• curl — curledly /kerr lid lee, kerrld /, adv. curledness, n. /kerrl/, v.t. 1. to form into coils or ringlets, as the hair. 2. to form into a spiral or curved shape; coil. 3. to adorn with, or as with, curls or ringlets. v.i. 4. to grow in or form curls… …   Universalium