Vector-Input Function
(Redirected from Multivariate Function)
Jump to navigation
Jump to search
A Vector-Input Function is a tuple-input function that is a vector-input operation (i.e. a function whose input is a vector).
- AKA: n-Ary Multivariate Function.
- Context:
- It can range from being a Bivariate Vector Function to being a Multivariate Vector Function.
- It can range from:
- being a Vector-Input Value-Output Function (such as a Category-Output Function, a Vector-Input Rank-Output Function, a Vector-Input Integer-Output Function, a Vector-Input Scalar-Output Function)
- to being a Vector-Input Tuple-Output Function, such as a Vector-Input Vector-Output Function.
- Example(s):
- [math]\displaystyle{ f(1.1,5,3.9) \rightarrow (\pi,2.3) }[/math].
- A Vector-Input Scalar-Output Function, such as a vector length function.
- A Dot Product Function.
- a Multivariate Probability Function.
- …
- Counter-Example(s):
- a Class Tuple-Input Function, such as [math]\displaystyle{ f(\text{Red},\text{North}) \rightarrow 4.1 }[/math]
- a Scalar-Input Function.
- a Set-Input Function.
- a Vector-Output Function.
- a Unary Function.
- See: Binary Function, Vector Relation, String Function, Vector Arity Function.
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.