# Mapping an Interval to Another

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

There is a one-to-one and onto mapping between any two intervals. The intervals can be of different sizes, infinite, open, closed, or half-open. By composing the mappings shown here, sometimes with slight modifications, you can find a mapping between any two types. Therefore any two intervals have the same number of points. In fancier language, any two intervals are equipotent and have the same cardinality as that of the real numbers.

[more]
Contributed by: George Beck (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

detailSectionParagraph## Permanent Citation

"Mapping an Interval to Another"

http://demonstrations.wolfram.com/MappingAnIntervalToAnother/

Wolfram Demonstrations Project

Published: March 7 2011