associative
Pronunciation
  • (America) IPA: /əˈsoʊ.ʃi.ə.tɪv/, /əˈsoʊ.si.ə.tɪv/
Adjective

associative

  1. Pertaining to, resulting from, or characterised by association; capable of associating; tending to associate or unite.
    • 1998, Kazimierz Zieliński, Pairing, Continuity, Contingency - What's the Difference, Anna Neugebauer (editor), Macromolecular Interplay in Brain Associative Mechanisms: Proceedings of the International School of Biocybernetics, World Scientific, page 63 ↗,
      At present conditioning is viewed as a special case of associative learning which provides an animal (and human being alike) with die ability to discover, memorize, retrieve, and use relationships between signals and reinforcers and also to control rewards and aversive events.
  2. (algebra, of a binary operator *) Such that, for any operands a, b and c, (a * b) * c = a * (b * c); (of a ring, etc.) whose multiplication operation is associative.
    • 2000, Freddy Van Oystaeyen, Algebraic Geometry for Associative Algebras, Marcel Dekker, page 235 ↗,
      Perhaps it is an advantage of the "associative algebraic geometry" we have tried to develop in foregoing chapters that it is independent of braidings and further generalizations because it will remain valid as long as the corresponding "function"-rings constructed in these theories are associative algebras.
    • 2006, Ibrahim Assem, Daniel Simson, Andrzej Skowroński, Elements of the Representation Theory of Associative Algebras, 1: Techniques of Representation Theory, Cambridge University Press, page vii ↗,
      It is now generally accepted that the representation theory of associative algebras traces its origin to Hamilton's description of the complex numbers by pairs of real numbers.
    • 2014, Miguel Cabrera García, Ángel Rodríguez Palacios, Non-Associative Normed Algebras, Volume 1: The Vidav–Palmer and Gelfand-Naimark Theorems, Cambridge University Press, page 1 ↗,
      In this section we develop the basic theory of normed algebras, putting special emphasis on the case of complete normed unital associative complex algebras.
  3. (computing) Addressable by a key more complex than an integer index.
    Awk's associative arrays may be indexed by strings.
    Associative memories were once given considerable attention.
Antonyms
  • antiassociative
Related terms Translations


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