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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. 2. (Logic) Assigning the species of a general term. 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). 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.

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. 2. (Logic) Assigning the species of a general term. 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). 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.

- In mathematics, the distributive property of binary operations generalizes the distributive law, which ****erts that the equality x ⋅ ( y + z ) = x ⋅ y...

- In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of...

- Distributivity An operation ∗ {\displaystyle *} is distributive with respect to another operation + {\displaystyle +} if it is both left distributive...

- views in the phrase "Three acres and a cow". According to Belloc, the distributive state (the state which has implemented distributism) contains "an agglomeration...

- when the left hand side is defined: [(b−1 mod n)(b mod n)] mod n = 1. Distributive: (a + b) mod n = [(a mod n) + (b mod n)] mod n. ab mod n = [(a mod n)(b...

- common type of distributivity is the one defined for lattices, where the formation of binary suprema and infima provide the total operations of join ( ∨...

- Biquadratic Equation which is satisfied by the Symbol of Linear or Distributive Operation on a Quaternion". The London, Edinburgh, and Dublin Philosophical...

- ****ociativity, commutativity, and absorption laws, distributivity of ∧ over ∨ (or the other distributivity law—one suffices), and the two complement laws...

- cube is a distributive polytope. It is called a distributive polytope because the coordinatewise minimum and coordinatewise maximum operations form the...

- binary operation ◃ {\displaystyle \triangleleft } such that for every a , b , c ∈ R {\displaystyle a,b,c\in \mathrm {R} } the self-distributive law holds:...

- In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of...

- Distributivity An operation ∗ {\displaystyle *} is distributive with respect to another operation + {\displaystyle +} if it is both left distributive...

- views in the phrase "Three acres and a cow". According to Belloc, the distributive state (the state which has implemented distributism) contains "an agglomeration...

- when the left hand side is defined: [(b−1 mod n)(b mod n)] mod n = 1. Distributive: (a + b) mod n = [(a mod n) + (b mod n)] mod n. ab mod n = [(a mod n)(b...

- common type of distributivity is the one defined for lattices, where the formation of binary suprema and infima provide the total operations of join ( ∨...

- Biquadratic Equation which is satisfied by the Symbol of Linear or Distributive Operation on a Quaternion". The London, Edinburgh, and Dublin Philosophical...

- ****ociativity, commutativity, and absorption laws, distributivity of ∧ over ∨ (or the other distributivity law—one suffices), and the two complement laws...

- cube is a distributive polytope. It is called a distributive polytope because the coordinatewise minimum and coordinatewise maximum operations form the...

- binary operation ◃ {\displaystyle \triangleleft } such that for every a , b , c ∈ R {\displaystyle a,b,c\in \mathrm {R} } the self-distributive law holds:...

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