VECTORFIELD

Vector field

In vector calculus, a vector field is an assignment of a vector to each point in a subset of Euclidean space. A vector field in the plane, for instance, can be visualized as a collection of arrows with a given magnitude and direction each attached to a point in the plane. Vector fields are often used 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.

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vector field

Noun

  1. A construction in which each point in a Euclidean space is associated with a vector; a function whose range is a vector space.
  2. A function which associates, to each point on a surface, a vector in the tangent plane of that point.


The above text is a snippet from Wiktionary: vector field
and as such is available under the Creative Commons Attribution/Share-Alike License.

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