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invariant space

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  • Invariant theory — is a branch of abstract algebra that studies actions of groups on algebraic varieties from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description of polynomial functions that do not …   Wikipedia

  • Invariant differential operators — appear often in mathematics and theoretical physics. There is no universal definition for them and the meaning of invariance may depend on the context. Usually, an invariant differential operator D is a map from some mathematical objects… …   Wikipedia

  • Invariant — may have several meanings, among which are:* Invariant (computer science), an expression whose value doesn t change during program execution * In computer science, a type in overriding that is neither covariant nor contravariant * Invariant… …   Wikipedia

  • Space — is the extent within which matter is physically extended and objects and events have positions relative to one another [ [http://www.britannica.com/eb/article 9068962/space Britannica Online Encyclopedia: Space] ] . Physical space is often… …   Wikipedia

  • Invariant latitude — is a parameter that describes where a particular magnetic field line touches the surface of the Earth. It is given byLambda = arccosleft(sqrt{1/L} ight)orL = 1/cos^2left(Lambda ight)where Lambda is the invariant latitude and L is the L value… …   Wikipedia

  • Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant …   Wikipedia

  • Invariant subspace problem — In the field of mathematics known as functional analysis, one of the most prominent open problems is the invariant subspace problem, sometimes optimistically known as the invariant subspace conjecture. It is the question whether the following… …   Wikipedia

  • Invariant measure — In mathematics, an invariant measure is a measure that is preserved by some function. Invariant measures are of great interest in the study of dynamical systems. The Krylov Bogolyubov theorem proves the existence of invariant measures under… …   Wikipedia

  • Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

  • Invariant mass — The invariant mass, intrinsic mass, proper mass or just mass is a characteristic of the total energy and momentum of an object or a system of objects that is the same in all frames of reference. When the system as a whole is at rest, the… …   Wikipedia

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