distributive love

# distributive

## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

• adj. Of, relating to, or involving distribution.
• adj. Serving to distribute.
• adj. Mathematics Of or relating to a rule that the same product results in multiplication when performed on a set of numbers as when performed on members of the set individually. If a × (b + c) = a × b + a × c, then × is distributive over +.
• adj. Grammar Referring to each individual or entity of a group separately rather than collectively, as every in the sentence Every employee attended the meeting.
• n. A distributive word or term.

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

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

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

• adj. Tending to distribute; serving to divide and assign in portions; dealing to each his proper share.
• adj. Assigning the species of a general term.
• adj. Expressing separation; denoting a taking singly, not collectively.
• n. A distributive adjective or pronoun; also, a distributive numeral.

### from The Century Dictionary and Cyclopedia

• 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).
• n. In grammar, a word that divides or distributes, as each and every, which represent the individuals of a collective number as separate.