# distributive law

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## distributive law

n
(Mathematics) maths logic a theorem asserting that one operator can validly be distributed over another. See distribute7
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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Everything from distributive law to integral identities remain as true today as they have for the past, oh, one or two thousand years.
[4] defined some operations on soft sets and showed that the distributive law of soft sets is varied.
Furthermore in Year 8 students should "extend and apply the distributive law to the expansion of algebraic expressions" and "factorise algebraic expressions by identifying numerical factors" (ACARA, 2014).
[[intersection].sub.E] [[union].sub.E] [[intersection].sub.E] 1 0 [[union].sub.E] 0 1 [[intersection].sub.R] 1 1 [[union].sub.R] 1 1 [[intersection].sub.R] [[union].sub.R] [[intersection].sub.E] 0 1 [[union].sub.E] 1 0 [[intersection].sub.R] 1 1 [[union].sub.R] 1 1 Distributive law for neutrosophic soft sets Proofs in the cases where equality holds can be followed by definition of respective operations.
A distributive law (in a bicategory) consists of two monads A and B together with a 2-cell A [cross product] B [left arrow] B [cross product] A which is compatible with the monad structures, see [2].
Parentheses are used in mathematics to indicate that certain computations should precede other computations, and also to shorten expressions by virtue of the "distributive law" that says A x (B + C) = (A x B) + (A x C).
([n.sub.1] + [n.sub.2]) x [n.sub.3] = [n.sub.1] x [n.sub.3] + [n.sub.2] x [n.sub.3] for all [n.sub.1], [n.sub.2], [n.sub.3] [member of] Q (right distributive law).
One of the most important properties in arithmetic and algebra is the distributive law of multiplication over addition.
It exploits the fact that, under these circumstances, the usual properties of multiplication no longer apply (associative law and distributive law as compared to addition).
The elements of M meet the left distributive law of multiplication.
A distributive lattice is a lattice which satisfies the distributive laws [3].

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