bijection

[bahy-jek-shuh n]

noun Mathematics.

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

Origin of bijection

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

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British Dictionary definitions for bijection

bijection

noun

a mathematical function or mapping that is both an injection and a surjection and therefore has an inverseSee also injection (def. 5), 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

Science definitions for bijection

bijection

[bī-jĕk′shən]

Mathematics

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.