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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.
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 structures are collections of sets for which the lattice operations can be given by set union and intersection.
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
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.The general form of its probability density function is [2] [3] = ().
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.
John J. Kurz, RMR-CRR, Official Court Reporter Phone 215-683-8035 Fax 215-683-8005 1 IN THE COURT OF COMMON PLEAS OF PHILADELPHIA COUNTY FIRST JUDICIAL DISTRICT OF PENNSYLVANIA 2
A congruence θ of a join-semilattice S is monomial, if the θ-equivalence class of any element of S has a largest element. We say that θ is distributive, if it is a join, in the congruence lattice Con S of S, of monomial join-congruences of S.
Convex hull of a bounded planar set: rubber band analogy. A set of points in a Euclidean space is defined to be convex if it contains the line segments connecting each pair of its points.