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bijection
[bahy-jek-shuhn]
noun
a map or function that is one-to-one and onto.
bijection
/ ɪˈɛʃə /
noun
a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse See also injection surjection
bijection
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
Word History and Origins
Origin of bijection1
Example Sentences
Such a mapping is called bijection.
That is, there are infinite sets A and B with no bijection between them.
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