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bijection

American

[bahy-jek-shuhn] / baɪˈdʒɛk ʃən /

noun

Mathematics.

a map or function that is one-to-one and onto.

bijection British

/ baɪˈdʒɛkʃən /

noun

a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse See also injection surjection

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

bijection Scientific

/ bī-jĕk′shən /

A function that is both an injection and a surjection. In a bijection, each member of the range corresponds to an element of the domain that is mapped onto it, and there is a one-to-one correspondence between the members of the domain and the range. All linear functions, such as y = x + 3, are bijections.
Compare injection surjection

Etymology

Origin of bijection

1965–70; bi- ¹ + -jection, as in projection

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

That is, there are infinite sets A and B with no bijection between them.

From Scientific American • Aug. 16, 2021

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023