bi·​jec·​tion (ˌ)bī-ˈjek-shən How to pronounce bijection (audio)
: a mathematical function that is a one-to-one and onto mapping compare injection, surjection
bijective adjective

Examples of bijection in a Sentence

Recent Examples on the Web This contradiction arises from the assumption that there exists a bijection between the natural numbers and the reals between zero and 1, and so no such bijection can exist. Patrick Honner, Quanta Magazine, 27 Sep. 2022 Such a mapping is called bijection. Martin Goldstern, Scientific American, 16 Aug. 2021 Find a function that is a bijection between the set of real numbers between zero and 1 and the set of all real numbers. Patrick Honner, Quanta Magazine, 27 Sep. 2022

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'bijection.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


bi- entry 1 + -jection (as in injection)

First Known Use

1956, in the meaning defined above

Time Traveler
The first known use of bijection was in 1956

Dictionary Entries Near bijection

Cite this Entry

“Bijection.” Dictionary, Merriam-Webster, Accessed 7 Dec. 2023.

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