# Vector-Input Function

(Redirected from n-Ary Function)

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]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]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.