Editing Function (mathematics) (section)

=== Vector-valued function ===
{{main|Vector-valued function|Vector field}}

When the elements of the codomain of a function are [[vector (mathematics and physics)|vectors]], the function is said to be a vector-valued function. These functions are particularly useful in applications, for example modeling physical properties. For example, the function that associates to each point of a fluid its [[velocity vector]] is a vector-valued function.

Some vector-valued functions are defined on a subset of <math>\mathbb{R}^n</math> or other spaces that share geometric or [[topological]] properties of <math>\mathbb{R}^n</math>, such as [[manifolds]]. These vector-valued functions are given the name ''vector fields''.