Bijective

Quick meaning: Bijective is an adjective meaning (mathematics) Having a component that is (specified to be) a bijective map; that specifies a bijective map.

Meaning

(mathematics) Having a component that is (specified to be) a bijective map; that specifies a bijective map.

More Meanings

1. (mathematics, of a function) Associating to each element of the codomain exactly one element of the domain; establishing a perfect (one-to-one) correspondence between the elements of the domain and the codomain; (formally) both injective and surjective.

Example Sentences

An isomorphism is a bijective homomorphism.

Proving the conjecture is equivalent to constructing a PCP that reads 2 symbols and accepts iff these symbols satisfy a bijective constraint.

1993, Susan Montgomery, Hopf Algebras and Their Actions on Rings, American Mathematical Society, CBMS, Regional Conference Series in Mathematics, Number 83, page 124, Recent experience indicates that for infinite-dimensional Hopf algebras, the “right” definition of Galois is to require that β be bijective.

2008, B. Aslan, M. T. Sakalli, E. Bulus, Classifying 8-Bit to 8-Bit S-Boxes Based on Power Mappings, Joachim von zur Gathen, José Luis Imana, Çetin Kaya Koç (editors), Arithmetic of Finite Fields: 2nd International Workshop, Springer, LNCS 5130, page 131, Generally, there is a parallel relation between the maximum differential value and maximum LAT value for bijective S-boxes.

Related Words

Related dictionary entries include one-to-one, one-on-one, surjunctive, surjective, selfinjective, injective.

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