In general, a hashing function may map several different keys to the same index.

As another example is the type of a function mapping all finite sets to integers.

The composition of and is a continuous function mapping the Cantor set onto the entire unit square.

These functions map scalars into scalars+pseudoscalars, vectors to vectors+pseudovectors, etc.

The function f maps the real axis to the edges of the polygon.

In this image, the meanings of the expressions cold, warm, and hot are represented by functions mapping a temperature scale.

In mathematics, a transformation could be any function mapping a set X on to another set or on to itself.

Its main functions are to appraise the nation's mineral and water resources and to survey and map the country's physical features.

Every singleton is a terminal object, with the functions mapping all elements of the source sets to the single target element as morphisms.

On the left side, is a function mapping any point in space to a complex number; on the right side, is a ket.