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bijection

[ bahy-jek-shuhn ]

noun

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


bijection

/ baɪˈdʒɛkʃən /

noun

  1. 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

/ bī-jĕkshən /

  1. 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.
  2. Compare injection


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Word History and Origins

Origin of bijection1

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

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Bijapurbijective