Word info

injective

Adjective

Meaning

injective (not comparable)

(mathematics) of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic
Synonym: one-to-one

Source: en.wiktionary.org

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Phrases with the word

Examples

A bilipschitz function is the same thing as an injective Lipschitz function whose inverse function is also Lipschitz. Source: Internet

A function f with a left inverse is necessarily injective. Source: Internet

A parameterization is generally required to have distinct parameter values give rise to distinct distributions, i.e. must hold (in other words, it must be injective ). Source: Internet

An embedding, or a smooth embedding, is defined to be an injective immersion which is an embedding in the topological sense mentioned above (i.e. homeomorphism onto its image). Source: Internet

Algebra In general, for an algebraic category C, an embedding between two C-algebraic structures X and Y is a C-morphism e:X→Y which is injective. Source: Internet

A function f that is not injective is sometimes called many-to-one. Source: Internet

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