surjective

[US]/sɜːˈdʒɛktɪv/
[UK]/sɜrˈdʒɛktɪv/
Frequency: Very High

Translation

adj.mapping every element of a set to at least one element of another set

Phrases & Collocations

surjective function

surjective map

surjective relation

surjective property

surjective transformation

surjective homomorphism

surjective mapping

surjective analysis

surjective functionals

surjective correspondence

Example Sentences

the function is surjective if every element in the codomain has a preimage.

in mathematics, a surjective function maps every element of its codomain.

to prove that a function is surjective, you must show that it covers the entire range.

surjective functions are important in various branches of mathematics.

a surjective map guarantees that every output is reached by at least one input.

understanding surjective functions can help in solving complex equations.

in set theory, a surjective function is also known as an onto function.

not all functions are surjective; some may miss elements in the codomain.

surjective functions play a key role in understanding bijections and inverses.

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