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operator continuity

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  • Continuity equation — A continuity equation in physics is a differential equation that describes the transport of a conserved quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate… …   Wikipedia

  • Operator (mathematics) — This article is about operators in mathematics. For other uses, see Operator (disambiguation). In basic mathematics, an operator is a symbol or function representing a mathematical operation. In terms of vector spaces, an operator is a mapping… …   Wikipedia

  • Operator No. 5 — The correct title of this article is Operator #5. The substitution or omission of the # sign is because of technical restrictions. Operator #5 Cover of issue #26, Death s Ragged Army, which began the Purple Invasion story arc. ©Argosy… …   Wikipedia

  • Bounded operator — In functional analysis, a branch of mathematics, a bounded linear operator is a linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non zero… …   Wikipedia

  • Self-adjoint operator — In mathematics, on a finite dimensional inner product space, a self adjoint operator is one that is its own adjoint, or, equivalently, one whose matrix is Hermitian, where a Hermitian matrix is one which is equal to its own conjugate transpose.… …   Wikipedia

  • Laplace operator — This article is about the mathematical operator. For the Laplace probability distribution, see Laplace distribution. For graph theoretical notion, see Laplacian matrix. Del Squared redirects here. For other uses, see Del Squared (disambiguation) …   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

  • Method of continuity — In the mathematics of Banach spaces, the method of continuity provides sufficient conditions for deducing the invertibility of one bounded linear operator from that of another, related operator. Contents 1 Formulation 2 Applications 3 Proof 4 …   Wikipedia

  • Almost Mathieu operator — In mathematical physics, the almost Mathieu operator arises in the study of the quantum Hall effect. It is given by: [H^{lambda,alpha} omega u] (n) = u(n+1) + u(n 1) + 2 lambda cos(2pi (omega + nalpha)) u(n), , acting as a self adjoint operator… …   Wikipedia

  • Nemytskii operator — In mathematics, Nemytskii operators are a class of nonlinear operators on Lp spaces with good continuity and boundedness properties. They take their name from the mathematician Viktor Vladimirovich Nemytskii. Definition Let Ω be a domain (an open …   Wikipedia

  • Lévy continuity theorem — The Lévy continuity theorem in probability theory, named after the French mathematician Paul Lévy, is the basis for one approach to prove the central limit theorem and it is one of the central theorems concerning characteristic functions. Suppose …   Wikipedia

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