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abstract operator

См. также в других словарях:

  • Abstract factory pattern — The abstract factory pattern is a software design pattern that provides a way to encapsulate a group of individual factories that have a common theme. In normal usage, the client software creates a concrete implementation of the abstract factory… …   Wikipedia

  • Abstract interpretation — In computer science, abstract interpretation is a theory of sound approximation of the semantics of computer programs, based on monotonic functions over ordered sets, especially lattices. It can be viewed as a partial execution of a computer… …   Wikipedia

  • Abstract index group — In operator theory, every Banach algebra can be associated with a group called its abstract index group. Definition Let A be a Banach algebra and G the group of invertible elements in A . The set G is open and a topological group. Consider the… …   Wikipedia

  • List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …   Wikipedia

  • μ operator — In computability theory, the μ operator, minimization operator, or unbounded search operator searches for the least natural number with a given property. Contents 1 Definition 2 Properties 3 Examples …   Wikipedia

  • Leibniz operator — One of the cornerstone concepts in the theory of abstract algebraic logic is that of the Leibniz operator.MotivationThe Leibniz operator was introduced by Willem Blok and Don Pigozzi, two of the founders of the field, as a means to abstract the… …   Wikipedia

  • Differential operator — In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation, accepting a function and returning… …   Wikipedia

  • Closure operator — In mathematics, a closure operator on a set S is a function cl: P(S) → P(S) from the power set of S to itself which satisfies the following conditions for all sets X,Y ⊆ S. X ⊆ cl(X) (cl is extensive) X ⊆ Y implies cl(X) ⊆ cl(Y)   (cl… …   Wikipedia

  • Ornstein–Uhlenbeck operator — Not to be confused with Ornstein–Uhlenbeck process. In mathematics, the Ornstein–Uhlenbeck operator can be thought of as a generalization of the Laplace operator to an infinite dimensional setting. The Ornstein–Uhlenbeck operator plays a… …   Wikipedia

  • Integration by parts operator — In mathematics, an integration by parts operator is a linear operator used to formulate integration by parts formulae; the most interesting examples of integration by parts operators occur in infinite dimensional settings and find uses in… …   Wikipedia

  • Derivative algebra (abstract algebra) — In abstract algebra, a derivative algebra is an algebraic structure of the signature <A, ·, +, , 0, 1, D> where <A, ·, +, , 0, 1> is a Boolean algebra and D is a unary operator, the derivative operator, satisfying the identities: 0D …   Wikipedia

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