associative law

associative law
: a law indicating immateriality in the grouping of variables; specifically : any law of the form (φRχ)Rψ=φRRψ) where φ, χ, ψ are variables and R a dyadic operator [as (a +b)+c=a+(b+c) in arithmetic or (pvq)vr.≡.pv(qvr) in the propositional calculus] — called also principle of association

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associative law,
Mathematics. a law stating that the combinations by which two numbers are added or multiplied will not change their sum or product. Examples: 2 + (3 + 5) gives the same sum as (2 + 3) + 5; (2 × 3) × 5 gives the same product as 2 × (3 × 5).

Useful english dictionary. 2012.

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  • associative law — asociatyvumo dėsnis statusas T sritis automatika atitikmenys: angl. associative law vok. assoziatives Gesetz, n rus. ассоциативный закон, m; сочетательный закон, m pranc. loi d associativité, f ryšiai: sinonimas – jungiamumo dėsnis …   Automatikos terminų žodynas

  • associative law — Two closely related laws of number operations. In symbols, they are stated: a + (b + c) = (a + b) + c, and a(bc) = (ab)c. Stated in words: The terms or factors may be associated in any way desired and the result will be the same. This holds for… …   Universalium

  • associative law — mathematical law stating that certain operations (addition, subtraction, etc.) may be executed in any sequence without affecting the result …   English contemporary dictionary

  • associative — index apposite, correlative, pertinent Burton s Legal Thesaurus. William C. Burton. 2006 …   Law dictionary

  • Law — /law/, n. 1. Andrew Bonar /bon euhr/, 1858 1923, English statesman, born in Canada: prime minister 1922 23. 2. John, 1671 1729, Scottish financier. 3. William, 1686 1761, English clergyman and devotional writer. * * * I Discipline and profession… …   Universalium

  • Associative property — This article is about associativity in mathematics. For associativity in the central processor unit memory cache, see CPU cache. For associativity in programming languages, see operator associativity. In mathematics, associativity is a property… …   Wikipedia

  • Associative algebra — In mathematics, an associative algebra is a vector space (or more generally, a module) which also allows the multiplication of vectors in a distributive and associative manner. They are thus special algebras. Definition An associative algebra A… …   Wikipedia

  • law — law1 lawlike, adj. /law/, n. 1. the principles and regulations established in a community by some authority and applicable to its people, whether in the form of legislation or of custom and policies recognized and enforced by judicial decision. 2 …   Universalium

  • associative — associatively /euh soh shee ay tiv lee, euh tiv , see /, adv. associativity /euh soh shee euh tiv i tee, see , sheuh tiv /, associativeness, n. /euh soh shee ay tiv, see , sheuh tiv/, adj. 1. pertaining to or resulting from association. 2.… …   Universalium

  • associative — as•so•ci•a•tive [[t]əˈsoʊ ʃiˌeɪ tɪv, si , ʃə tɪv[/t]] adj. 1) pertaining to or resulting from association 2) tending to associate or unite 3) math. pho Math. a) (of an operation on a set of elements) giving an equivalent expression when elements… …   From formal English to slang

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