measurable kernel

  • 11Mercer's theorem — In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… …

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  • 12linguistics — /ling gwis tiks/, n. (used with a sing. v.) the science of language, including phonetics, phonology, morphology, syntax, semantics, pragmatics, and historical linguistics. [1850 55; see LINGUISTIC, ICS] * * * Study of the nature and structure of… …

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  • 13Hardy space — In complex analysis, the Hardy spaces (or Hardy classes) Hp are certain spaces of holomorphic functions on the unit disk or upper half plane. They were introduced by Frigyes Riesz (Riesz 1923), who named them after G. H. Hardy, because of the… …

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  • 14Projection (linear algebra) — Orthogonal projection redirects here. For the technical drawing concept, see orthographic projection. For a concrete discussion of orthogonal projections in finite dimensional linear spaces, see vector projection. The transformation P is the… …

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  • 15Compact operator on Hilbert space — In functional analysis, compact operators on Hilbert spaces are a direct extension of matrices: in the Hilbert spaces, they are precisely the closure of finite rank operators in the uniform operator topology. As such, results from matrix theory… …

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  • 16Von Neumann algebra — In mathematics, a von Neumann algebra or W* algebra is a * algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. They were originally introduced by John von Neumann,… …

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  • 17RAID — This article is about the data storage technology. For other uses, see Raid (disambiguation). RAID, an acronym for Redundant Array of Independent Disks (originally Redundant Array of Inexpensive Disks),[1] is a storage… …

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  • 18Crossed product — In mathematics, and more specifically in the theory of von Neumann algebras, a crossed product is a basic method of constructing a new von Neumann algebra from a von Neumann algebra acted on by a group. It is related to the semidirect product… …

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  • 19Random compact set — In mathematics, a random compact set is essentially a compact set valued random variable. Random compact sets are useful in the study of attractors for random dynamical systems. Definition Let (M,d) be a complete separable metric space. Let… …

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  • 20Artificial intelligence — AI redirects here. For other uses, see Ai. For other uses, see Artificial intelligence (disambiguation). TOPIO, a humanoid robot, played table tennis at Tokyo International Robot Exhibition (IREX) 2009.[1] Artificial intelligence ( …

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