Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • adjective Of, relating to, or involving distribution.
  • adjective Serving to distribute.
  • adjective Mathematics Of or relating to a property involving two binary operations, usually multiplication and addition, in which the product of an element with a sum of terms is equal to the sum of the individual products of that element with each term. That is, if a × (b + c) = a × b + a × c, then the operation indicated by × is distributive over the operation indicated by +.
  • adjective Grammar Referring to each individual or entity of a group separately rather than collectively, as every in the sentence Every employee attended the meeting.
  • noun A distributive word or term.

from The Century Dictionary.

  • That distributes; dividing and assigning in portions; dealing to each his proper share.
  • Specifically—2. In logic, showing that a statement refers to each individual of a class separately, and not to these individuals as making up the whole class.
  • Expressing separation or division: as, a distributive prefix: specifically, in grammar, used to denote the persons or things that constitute a pair or number, as considered separately and singly: as, a distributive pronoun; a distributive numeral.
  • In mathematics, operating upon every part in operating upon the whole
  • F Φ (x, y, z, etc.) = Φ (Fx, Fy, Fz, etc.).
  • In a more general sense, every formula which expresses that the operations f, F, Φ, are so related that in every case Φ F(x, y) = f (Φx, Φy).
  • noun In grammar, a word that divides or distributes, as each and every, which represent the individuals of a collective number as separate.

from the GNU version of the Collaborative International Dictionary of English.

  • noun (Gram.) A distributive adjective or pronoun; also, a distributive numeral.
  • adjective Tending to distribute; serving to divide and assign in portions; dealing to each his proper share.
  • adjective (Logic) Assigning the species of a general term.
  • adjective (Gram.) Expressing separation; denoting a taking singly, not collectively.
  • adjective (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 × (b + c) = ab + ac, and (a + b) × c = ac + bc.
  • adjective (Math.) See Fellowship.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • adjective Relating to distribution.
  • adjective mathematics A property of functions that have a rule describing how the function can be performed to the individual components of another operation.
  • noun grammar A distributive adjective or pronoun.
  • noun mathematics A distributive numeral.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • adjective serving to distribute or allot or disperse

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