Distributive operation
Distributive Dis*trib"u*tive, a. [Cf. F. distributif.] 1. Tending to distribute; serving to divide and assign in portions; dealing to each his proper share. ``Distributive justice.'' --Swift. [1913 Webster]

2. (Logic) Assigning the species of a general term. [1913 Webster]

3. (Gram.) Expressing separation; denoting a taking singly, not collectively; as, a distributive adjective or pronoun, such as each, either, every; a distributive numeral, as (Latin) bini (two by two). [1913 Webster]

{Distributive operation} (Math.), any operation which either consists of two or more parts, or works upon two or more things, and which is such that the result of the total operation is the same as the aggregated result of the two or more partial operations. Ordinary multiplication is distributive, since a [times] (b + c) = ab + ac, and (a + b) [times] c = ac + bc.

{Distributive proportion}. (Math.) See {Fellowship}. [1913 Webster]

The Collaborative International Dictionary of English. 2000.

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• distributive operation — noun : a mathematical operation obeying a distributive principle …   Useful english dictionary

• Distributive — Dis*trib u*tive, a. [Cf. F. distributif.] 1. Tending to distribute; serving to divide and assign in portions; dealing to each his proper share. Distributive justice. Swift. [1913 Webster] 2. (Logic) Assigning the species of a general term. [1913… …   The Collaborative International Dictionary of English

• Distributive proportion — Distributive Dis*trib u*tive, a. [Cf. F. distributif.] 1. Tending to distribute; serving to divide and assign in portions; dealing to each his proper share. Distributive justice. Swift. [1913 Webster] 2. (Logic) Assigning the species of a general …   The Collaborative International Dictionary of English

• distributive — adjective Date: 15th century 1. of or relating to distribution: as a. dealing a proper share to each of a group b. diffusing more or less evenly 2. of a word referring singly and without exception to the members of a group < each, either, and… …   New Collegiate Dictionary

• distributive — [di strib′yo͞o tiv΄, di stribyoot iv] adj. [ME & OFr distributif < LL distributivus] 1. distributing or tending to distribute 2. relating to distribution 3. Gram. referring individually to all members of a group [“each” and “either” are… …   English World dictionary

• 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 lattice — In mathematics, distributive lattices are lattices for which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set… …   Wikipedia

• distributive — adjective a) Relating to distribution. If function f is with respect to function g, then . b) A property of functions that have a rule describing how the function can be performed to the individual components of another operation. If the… …   Wiktionary

• Distributive — Distributivité Dans un calcul faisant intervenir par exemple des nombres entiers ou réels, la distributivité permet de passer d un produit de sommes à une somme de produit. Par exemple, 2x(5 + 3) = (2x5) + (2x3). Le premier facteur 2 a été… …   Wikipédia en Français

• 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