surjective
Adjective
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Adjective
surjective (not comparable)
- (mathematics) of, relating to, or being a surjection
- 1974, Thomas W. Hungerford, Algebra, Springer, page 5 ↗,
- A function \textstyle f is surjective (or onto) provided \textstyle f(A) = B; in other words,
- for each \textstyle b \in B, b = f(a) for some \textstyle a\in A.
- A function \textstyle f is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective.
- A function \textstyle f is surjective (or onto) provided \textstyle f(A) = B; in other words,
- 2010, Tullio Ceccherini-Silberstein, Michel Coornaert, Cellular Automata and Groups, Springer, page 133 ↗,
- 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 \textstyle F_2.
- 2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, Springer, 2nd Edition, page 156 ↗,
- This function is surjective and injective, and hence bijective.
- Synonyms: onto
- 1974, Thomas W. Hungerford, Algebra, Springer, page 5 ↗,
- French: surjectif
- Russian: сюръективный
- Spanish: sobreyectivo
This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.003