In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality x ⋅ ( y + z...

word, was coined), in a 1982 paper by Sergei Matveev (under the name distributive groupoids) and in a 1986 conference paper by Egbert Brieskorn (where...

Möbius function. Completely multiplicative functions also satisfy a distributive law. If f is completely multiplicative then f ⋅ ( g ∗ h ) = ( f ⋅ g )...

+a_{0}={a_{2}}{(x-r_{1})(x-r_{2})}} Expand the right side using distributive property: a 2 x 2 + a 1 x + a 0 = a 2 ( x 2 − r 1 x − r 2 x + r 1 r 2 ) {\displaystyle...

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

Distributive justice concerns the socially just allocation of resources, goods, opportunity in a society. It is concerned with how to allocate resources...

Distributive may refer to: Distributive property, in algebra, logic and mathematics Distributive pronoun and distributive adjective (determiner), in linguistics...

generalization of the dot product formula to Riemannian manifolds is a defining property of a Riemannian connection, which differentiates a vector field to give...

enough to determine the multiplication operation uniquely. The distributive property also provides information about the addition operation; by expanding...

three applications of the distributive property. In contrast to the FOIL method, the method using distributivity can be applied easily to products with...

bumping into the number 10. The distributive property of multiplication and addition, plus the commutative property of multiplication are also briefly...

(x\vee z)} such that one of these properties suffices to define distributivity for lattices. Typical examples of distributive lattice are totally ordered sets...

Intellectual property (IP) is a category of property that includes intangible creations of the human intellect. There are many types of intellectual property, and...

c+3c^{2}a+3c^{2}b+6abc.} This can be computed by hand using the distributive property of multiplication over addition and combining like terms, but it...

has a distributive right to exclude others (i.e. the right to command a "fair share" of personal property). In anarchist theory, private property typically...

{r} _{2}+\mathbf {r} )\times \mathbf {F} _{2}+\cdots } Now the distributive property of the cross product implies M ′ = ( r 1 × F 1 + r 2 × F 2 + ⋯ )...

into the development of algebraic notation in the 1600s, since the distributive property implies this as a natural hierarchy. As recently as the 1920s, the...

and then extended to all quaternions by using the distributive property and the center property of the real quaternions. The Hamilton product is not...

definition of even integers, the integer properties of closure under addition and multiplication, and the distributive property. Despite its name, mathematical...

inverse. At the same time, semirings are a generalization of bounded distributive lattices. The smallest semiring that is not a ring is the two-element...

spaces Property-owning democracy – Political economy system where state intervention allows fair possession distribution Social Credit – Distributive economic...

A ∩ ( B ∩ C ) {\displaystyle (A\cap B)\cap C=A\cap (B\cap C)} ⁠ Distributive property: ⁠ A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C ) {\displaystyle A\cup (B\cap...

The generalized distributive law (GDL) is a generalization of the distributive property which gives rise to a general message passing algorithm. It is...

equivalently A(u + v) = λ(u + v). This can be checked using the distributive property of matrix multiplication. Similarly, because E is a linear subspace...

a power of 3 (exponent of 1/3) Properties of Operations Associative property Distributive property Commutative property Factorial – Multiplication of numbers...

If Q is not a subgroup of S, then the tentative, more general distributive property that one may consider S ∩ (QT) = (S ∩ Q)(S ∩ T) is false. In particular...

y ⋅ z ) . {\displaystyle (x\cdot y)\cdot z=x\cdot (y\cdot z).} Distributive property Holds with respect to multiplication over addition. This identity...

(2023). China in Global Governance of Intellectual Property: Implications for Global Distributive Justice. Palgrave Socio-Legal Studies series. Palgrave...

circuit as a Boolean expression, and use De Morgan's law and the distributive property to convert it to CNF. However, this can result in an exponential...

\colon Q\times Q\to Q} , called its multiplication, satisfying a distributive property such that x ∗ ( ⋁ i ∈ I y i ) = ⋁ i ∈ I ( x ∗ y i ) {\displaystyle...