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单词 non-associative
释义

non-associativeadj.

Brit. /ˌnɒnəˈsəʊʃ(ɪ)ətɪv/, /ˌnɒnəˈsəʊsɪətɪv/, U.S. /ˌnɑnəˈsoʊsiədɪv/, /ˌnɑnəˈsoʊʃədɪv/, /ˌnɑnəˈsoʊsiˌeɪdɪv/, /ˌnɑnəˈsoʊʃiˌeɪdɪv/
Origin: Formed within English, by derivation. Etymons: non- prefix, associative adj.
Etymology: < non- prefix + associative adj.
1. Chiefly Psychology. Not relating to or characterized by association, esp. the association of ideas (cf. associative adj. 2).
ΚΠ
1877 Mind 2 104 The influence of the direct or non-associative factor in the impression of music and of the visual arts.
1928 Jrnl. Educ. Psychol. 19 495 The materials studied stand in the following order with respect to..the per cent of recall: (1) Identical words; (2) associative words; (3) idioms and phrases; (4) non-associative words.
1969 ETC. June 228 Benoit suggests a form of divergent, nonassociative writing to restore our psychic balance.
1979 Sci. Amer. Sept. 70/2 Sensitization differs from conditioning in being nonassociative; the sensitizing stimulus is effective in enhancing reflex responsiveness whether or not it is paired in time with the reflex stimulus.
1996 Evolution 50 2260/1 Different forms of learning—such as sensitization, a nonassociative generalized increase in reflex responding after a noxious stimulus, and classical conditioning..—share many mechanistic features in common.
2. Mathematics. Not associative; characterized by or designating a binary operation with the property that combining a group of quantities by repeated application of the operation gives a result dependent on the order in which the operations are performed. Cf. associative adj. 3.The simplest example illustrating this property consists of three quantities a, b, and c, combined using a binary operation ‘·’, for which a · (b · c) is not necessarily equal to (a · b) · c.
ΚΠ
1907 Amer. Math. Monthly 14 19 Dr. Dickson has called attention..to a very remarkable set of non-associative algebraic units.
1941 Edinb. Math. Notes xxxii. p. xi Let us call these Bαβ non-associative products the associations (α, β).
1962 J. Riordan Stochastic Service Syst. iv. 65 The enumeration of distinct sums of n like terms in nonassociative addition.
1990 Proc. London Math. Soc. 60 307 Non-associative Cayley–Dickson algebras.
This is a new entry (OED Third Edition, December 2003; most recently modified version published online March 2022).
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adj.1877
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