associative law

associative law
noun
: a law indicating immateriality in the grouping of variables; specifically : any law of the form (φRχ)Rψ=φR(χRψ) 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 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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