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单词 associative
释义

associativeadj.

Brit. /əˈsəʊʃ(ɪ)ətɪv/, /əˈsəʊsɪətɪv/, U.S. /əˈsoʊsiˌeɪdɪv/, /əˈsoʊʃiˌeɪdɪv/, /əˈsoʊsiədɪv/, /əˈsoʊʃ(i)ədɪv/
Etymology: < Latin associāt- (see associate adj. and n.) + -ive suffix, as if < Latin *associātīvus.
1. Of, pertaining to, or characterized by association.
ΚΠ
1881 Rae in Contemp. Rev. Feb. 233 The associative principle in the arrangements of economical life.
2. Psychology. Of, pertaining to, characterized by, or subserving, the association of ideas. (Cf. association n. 7.)
ΘΚΠ
the world > relative properties > relationship > accompaniment > [adjective]
collateral1377
assistant1485
coincident1567
accompanying1600
concomitant1608
comitant1614
belonginga1616
concomitaneous1661
adjoint1727
associative1812
attended1846
herewith1917
the mind > mental capacity > psychology > psychology of ideas > association of ideas > [adjective]
associative1812
1812 Coleridge in Omniana II. 13 The fancy, or the aggregative and associative power.
1864 J. S. Mill Lett. (1910) II. 7 He [sc. Spencer] has a great mastery over the obscurer applications of the associative principle.
a1873 J. S. Mill Three Ess. Relig. (1874) 199 When analysed to the bottom on the principles of the Associative Psychology, the brain..is, like matter itself, merely a set of human sensations either actual or inferred as possible.
1923 J. S. Huxley Ess. Biologist i. 24 Through associative memory, present behaviour is modified by past experience.
1957 New Biol. 24 123 Associative learning—a term which covers both classical conditioned reflexes and learning by trial and error.
3. Mathematics. Governed by or stating the condition that where three or more quantities are connected together by operators, the result is independent of the grouping of the quantities as long as their order is unchanged, e.g. that (a×bc = a×(b×c).
ΘΚΠ
the world > relative properties > number > algebra > [adjective] > relating to expressions
interscendent1796
symmetrical1816
zeta-ic1840
associative1844
discriminantal1852
symmetric1853
discriminant1870
idempotent1870
interscendental1873
bilinear1886
non-trivial1901
left1926
right1930
1844 W. R. Hamilton in Proc. Royal Irish Acad. 1840–4 2 430 It will be found that another important property of the old multiplication is preserved, or extended to the new, namely, that which may be called the associative character of the operation, and which may have for its type the formula Q. QI QII. QIII, QIV = QQI. QII QIII QIV.
1870 B. Pierce Linear Associative Algebra 21 The associative principle of multiplication may be adopted, namely that the product of successive multiplications is not affected by the order in which the multiplications are performed, provided that there is no change in the relative position of the factors... This is quite an important limitation, and the algebras which are subject to it will be called associative.
1924 Trans. Amer. Math. Soc. 26 175 A commutative boolean operation which always has an inverse is also associative.
1964 N. N. Hancock Matrix Anal. Electr. Machinery ii. 7 There may be more than two matrices in a product and in such cases matrix multiplication is associative.
1975 I. Stewart Concepts Mod. Math. v. 73 We say that our method of combining functions satisfies the associative law.

Derivatives

aˈssociatively adv.
ΘΚΠ
the world > relative properties > relationship > accompaniment > [adverb] > together
withc888
to-samec893
amongeOE
togethersc1175
yferea1200
i-menec1200
togetherc1220
ymonec1300
i-samec1320
insamea1400
alongst with1582
jointly1656
concomitantly1696
collaterally1800
associatively1880
in tandem1930
in harness1967
1880 W. Cyples Inq. Proc. Human Exper. v. 110 So as to represent associatively.
associaˈtivity n.
ΘΚΠ
the world > relative properties > number > algebra > [noun] > algebraic property
associativeness1878
symmetry1888
associativity1926
idempotence1934
distributivity1940
idempotency1940
1926 Trans. Amer. Math. Soc. 28 222 The present direct method of finding the conditions for associativity is far more complicated than our earlier direct method.
1965 J. J. Rotman Theory of Groups i. 4 Must we postulate more intricate associativity axioms in order to do without parentheses?
1979 D. R. Hofstadter Gödel, Escher, Bach (1980) ii. 56 The commutativity and associativity of multiplication.
associativeness n. Mathematics Obsolete the property of being associative.
ΘΚΠ
the world > relative properties > number > algebra > [noun] > algebraic property
associativeness1878
symmetry1888
associativity1926
idempotence1934
distributivity1940
idempotency1940
1878 Amer. Jrnl. Math. 1 50 The associativeness of such symbols arises from the circumstance that the definitions of α, β, γ,..determine the meanings of αβ, αγ, &c.
This entry has not yet been fully updated (first published 1885; most recently modified version published online December 2021).
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adj.1812
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