bijection

bi·jec·tion

B b

Transcription

- US Pronunciation
- US IPA
- [bahy-jek-shuh n]
- /baɪˈdʒɛk ʃən/

- US Pronunciation
- US IPA
- [bahy-jek-shuh n]
- /baɪˈdʒɛk ʃən/

Definitions of bijection word

noun bijection a mathematical function or mapping that is both an injection and a surjection and therefore has an inverse 3
noun bijection a map or function that is one-to-one and onto. 1
noun Technical meaning of bijection (mathematics) A function is bijective or a bijection or a one-to-one correspondence if it is both injective (no two values map to the same value) and surjective (for every element of the codomain there is some element of the domain which maps to it). I.e. there is exactly one element of the domain which maps to each element of the codomain. For a general bijection f from the set A to the set B: f'(f(a)) = a where a is in A and f(f'(b)) = b where b is in B. A and B could be disjoint sets. See also injection, surjection, isomorphism, permutation. 1
noun bijection (set theory) A one-to-one correspondence, a function which is both a surjection and an injection. 0

See all 4 definitions of bijection

Information block about the term

Origin of bijection

First appearance:

before 1965

One of the 2% newest English words

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

Historical Comparancy

Parts of speech for Bijection

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

Full grammatical hierarchy of Bijection

bijection popularity

A pretty common term. Usually people know it’s meaning, but prefer to use a more spread out synonym. About 54% of English native speakers know the meaning and use word.

According to our data about 57% of words is more used. This is a rare but used term. It occurs in the pages of specialized literature and in the speech of educated people.

bijection usage trend in Literature

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