distributive law

One of the laws relating to number operations.In symbols, it is stated: a(b + c) = ab + ac. The monomial factor a is distributed, or separately applied, to each term of the polynomial factor b + c, resulting in the product ab + ac. It can also be stated in words: The result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products. See also associative law; commutative law.
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in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products. See also associative law; commutative law.* * *
Universalium. 2010.
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distributive law — noun see distributive principle * * * distributive law, Mathematics. a law stating that the product of a number x and a sum (y + z) is equal to the sum of the two products xy and xz. Example: 3(4 + 5) = (3 × 4) + (3 × 5) … Useful english dictionary
distributive law — distributyvumo dėsnis statusas T sritis automatika atitikmenys: angl. distribution law; distributive law vok. distributives Gesetz, n; Verteilungsgesetz, n rus. дистрибутивный закон, m; распределительный закон, m pranc. loi de distributivité, f… … Automatikos terminų žodynas
distributive law — mathematical law stating that the same results are attained whether an expression is calculated as a whole or in parts and then totalled … English contemporary dictionary
Distributive law between monads — In category theory, an abstract branch of mathematics, distributive laws between monads are a way to express abstractly that two algebraic structures distribute one over the other one. Suppose that (S,μS,ηS) and (T,μT,ηT) are two monads on a… … Wikipedia
distributive — adj. Concerned with the sharing and distribution of shares of something among recipients. The Essential Law Dictionary. Sphinx Publishing, An imprint of Sourcebooks, Inc. Amy Hackney Blackwell. 2008 … Law dictionary
distributive share — n. A share that an heir receives from an intestate estate, or that a partner receives from a dissolved partnership. The Essential Law Dictionary. Sphinx Publishing, An imprint of Sourcebooks, Inc. Amy Hackney Blackwell. 2008 … 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
Distributive property — In mathematics, and in particular in abstract algebra, distributivity is a property of binary operations that generalizes the distributive law from elementary algebra. For example: 2 × (1 + 3) = (2 × 1) + (2 × 3). In the left hand side of the… … Wikipedia
distributive — distributively, adv. distributiveness, n. /di strib yeuh tiv/, adj. 1. serving to distribute, assign, allot, or divide; characterized by or pertaining to distribution. 2. Gram. referring to the members of a group individually, as the adjectives… … Universalium
distributive — dis•trib•u•tive [[t]dɪˈstrɪb yə tɪv[/t]] adj. 1) serving to distribute, assign, or divide; characterized by or pertaining to distribution 2) gram. referring to the members of a group individually, as the adjectives each and every[/ex] 3) pho… … From formal English to slang