surjective en · ADJ
Pronunciation
- /səˈd͡ʒɛktɪv/ (Received-Pronunciation)
- /sɚˈd͡ʒɛktɪv/ (General-American)
Meanings
-
(not-comparable) Of, relating to, or being a surjection.
1974, Thomas W. Hungerford, Algebra, Springer, page 5, A function f is surjective (or onto) provided f(A)=B; in other words, for each b∈B,b=f(a) for some a∈A. A function f is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective.
The Garden of Eden Theorem (Theorem 5.3.1) implies that every surjective cellular automaton with finite alphabet over an amenable group is necessarily pre-injective. In this section, we give an example of a surjective but not pre-injective cellular automaton with finite alphabet over the free group #92;textstyleF#95;2.
2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133:This function is surjective and injective, and hence bijective.
2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, 2nd edition, Springer, page 156:
Deriveds
surjective function · surjective map · surjectively · nonsurjective
Relateds
surjectivity · surjection · injective · bijective
Synonyms
Translations (19)
cmn 满射的 (of, relating, or being a surjection) · ca suprajectiu (of, relating, or being a surjection) · fr surjectif (of, relating, or being a surjection) · de surjektiv (of, relating, or being a surjection) · pt sobrejetivo (of, relating, or being a surjection) · ro surjectiv (of, relating, or being a surjection) · ja 全射の (of, relating, or being a surjection) · nl surjectief (of, relating, or being a surjection) · no surjektiv (of, relating, or being a surjection) · pl suriektywny (of, relating, or being a surjection) · nb surjektiv (of, relating, or being a surjection) · pl na (of, relating, or being a surjection) · sv surjektiv (of, relating, or being a surjection) · cs surjektivní (of, relating, or being a surjection) · es sobreyectivo (of, relating, or being a surjection) · da surjektiv (of, relating, or being a surjection) · ga barrtheilgeach (of, relating, or being a surjection) · ru сюръективный (of, relating, or being a surjection) · fi surjektiivinen (of, relating, or being a surjection)