Vector-Input Function

A Vector-Input Function is a Vector-Input Operation that is a function whose function input is a vector.

• AKA: Vector Function.
• Context:
  • It can range from being a Univariate Vector Function, to being a Bivariate Vector Function to being a Multivariate Vector Function.
  • It range from being
    • an Vector-Input Number-Output Function.
      • an Integer-Valued Vector Function.
      • an Real-Valued Vector Function.
    • a Vector-Input Vector-Output Function.
• Example(s):
  • A Vector Length Function, Real-Valued Vector Function:
  • A Dot Product Function.
• Counter-Example(s):
  • a Scalar-Input Function.
  • a Set-Input Function.
  • a Vector-Output Function.
• See: Tuple-Input Function, Vector Relation, Vector Operation, Tuple Function, String Function, Vector Arity Function.

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References

2009

• (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/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 throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.
  • In the rigorous mathematical treatment, (tangent) vector fields are defined on manifolds as sections of a manifold's tangent bundle. They are one kind of tensor field on the manifold.

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