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In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality (+) = + is always true in elementary algebra.
A lattice (L,∨,∧) is distributive if the following additional identity holds for all x, y, and z in L: x ∧ (y ∨ z) = (x ∧ y) ∨ (x ∧ z). Viewing lattices as partially ordered sets, this says that the meet operation preserves non-empty finite joins. It is a basic fact of lattice theory that the above condition is equivalent to its ...
In the mathematical area of order theory, a completely distributive lattice is a complete lattice in which arbitrary joins distribute over arbitrary meets.. Formally, a complete lattice L is said to be completely distributive if, for any doubly indexed family {x j,k | j in J, k in K j} of L, we have
A homomorphism μ : S → T between join-semilattices S and T is weakly distributive, if for all a, b in S and all c in T such that μ(c) ≤ a ∨ b, there are elements x and y of S such that c ≤ x ∨ y, μ(x) ≤ a, and μ(y) ≤ b. Examples:
Distributive justice concerns the socially just allocation of resources, goods, opportunity in a society.It is concerned with how to allocate resources fairly among members of a society, taking into account factors such as wealth, income, and social status.
In English distinct distributive numerals exist, such as singly, doubly, and triply, and are derived from the corresponding multiplier (of Latin origin, via French) by suffixing -y (reduction of Middle English -lely > -ly).
In logic and philosophy (especially metaphysics), a property is a characteristic of an object; for example, a red object is said to have the property of redness.The property may be considered a form of object in its own right, able to possess other properties.
Taylor Swift topped the chart for seven weeks with three different albums in 2023; one of them, 1989 (Taylor's Version), became the best selling album of the year.. This is a list of the albums ranked number one in the United States during 2023.