surjective

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English

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Adjective

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surjective (not comparable)

  1. (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.
    • 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

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French

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Pronunciation

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Adjective

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surjective

  1. feminine singular of surjectif