Vector field

In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a Euclidean space.

Related Topics:
Mathematics - Vector calculus - Vector - Euclidean space

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Vector fields are often used in physics to model for example the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.

Related Topics:
Physics - Force - Magnetic - Gravitational

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In the rigorous mathematical treatment, (tangent) vector fields are defined on manifolds as sections of the manifold's tangent bundle.

Related Topics:
Manifold - Section - Tangent bundle

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