surjective

== English == === Pronunciation === (Received Pronunciation) IPA(key): /səˈd͡ʒɛktɪv/ (General American) IPA(key): /sɚˈd͡ʒɛktɪv/ Rhymes: -ɛktɪv === Adjective === surjective (not comparable) (mathematics) Of, relating to, or being a surjection. 1974, Thomas W. Hungerford, Algebra, Springer, page 5, A function f {\displaystyle \textstyle f} is surjective (or onto) provided f ( A ) = B {\displaystyle \textstyle f(A)=B} ; in other words, for each b ∈ B , b = f ( a ) {\displaystyle \textstyle b\in B,b=f(a)} for some a ∈ A {\displaystyle \textstyle a\in A} . A function f {\displaystyle \textstyle f} is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective. Synonym: onto ==== Derived terms ==== ==== Related terms ==== ==== Translations ==== ==== See also ==== bijective injective == French == === Pronunciation === IPA(key): /syʁ.ʒɛk.tiv/ Homophone: surjectives === Adjective === surjective feminine singular of surjectif