surjective
English
editPronunciation
edit- (Received Pronunciation) IPA(key): /səˈd͡ʒɛktɪv/
- (General American) IPA(key): /sɚˈd͡ʒɛktɪv/
- Rhymes: -ɛktɪv
Adjective
editsurjective (not comparable)
- (mathematics) Of, relating to, or being a surjection.
- 1974, Thomas W. Hungerford, Algebra, Springer, page 5,
- A function is surjective (or onto) provided ; in other words,
- for each for some .
- A function is said to be bijective (or a bijection or a one-to-one correspondence) if it is both injective and surjective.
- A function is surjective (or onto) provided ; 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 .
- 2011, Ethan D. Bloch, Proofs and Fundamentals: A First Course in Abstract Mathematics, 2nd edition, Springer, page 156:
- This function is surjective and injective, and hence bijective.
- Synonym: onto
- 1974, Thomas W. Hungerford, Algebra, Springer, page 5,
Derived terms
editRelated terms
editTranslations
editof, relating, or being a surjection
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See also
editFrench
editPronunciation
edit- IPA(key): /syʁ.ʒɛk.tiv/
- Homophone: surjectives
Adjective
editsurjective
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- Rhymes:English/ɛktɪv
- Rhymes:English/ɛktɪv/3 syllables
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