- Radon theorem
- теорема Радона
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Radon theorem
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Radon–Nikodym theorem — In mathematics, the Radon–Nikodym theorem is a result in functional analysis that states that, given a measurable space ( X , Sigma;), if a sigma finite measure nu; on ( X , Sigma;) is absolutely continuous with respect to a sigma finite measure… … Wikipedia
Radon's theorem — In geometry, Radon s theorem on convex sets, named after Johann Radon, states that any set of d+2 points in R d can be partitioned into two (disjoint) sets whose convex hulls intersect. A point in the intersection of these hulls is called a Radon … Wikipedia
Radon transform — In mathematics, the Radon transform in two dimensions, named after the Austrian mathmematician Johann Radon, is the integral transform consisting of the integral of a function over straight lines. The inverse of the Radon transform is used to… … Wikipedia
Radon measure — In mathematics (specifically, measure theory), a Radon measure, named after Johann Radon, is a measure on the σ algebra of Borel sets of a Hausdorff topological space X that is locally finite and inner regular. Contents 1 Motivation 2 Definitions … Wikipedia
Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of … Wikipedia
Johann Radon — Infobox Scientist name = Johann Radon box width = 26em image width = 225px caption = birth date = 1887 12 16 birth place = Děčín, Bohemia, Austria Hungary death date = death date and age|1956|5|25|1887|12|16 death place = Vienna, Austria… … Wikipedia
Prokhorov's theorem — In mathematics, Prokhorov s theorem is a theorem of measure theory that relates tightness of measures to weak compactness (and hence weak convergence) in the space of probability measures. It is credited to the Soviet mathematician Yuri… … Wikipedia
Helly's theorem — In geometry, Helly s theorem is a basic combinatorial result on convex sets. It was proved by Eduard Helly in 1923, and gave rise to the notion of Helly family.tatement of Helly s theorem:Suppose that::X 1,X 2,dots,X n :is a finite collection of… … Wikipedia
Choi's theorem on completely positive maps — In mathematics, Choi s theorem on completely positive maps (after Man Duen Choi) is a result that classifies completely positive maps between finite dimensional (matrix) C* algebras. An infinite dimensional algebraic generalization of Choi s… … Wikipedia
Girsanov theorem — In probability theory, the Girsanov theorem tells how stochastic processes change under changes in measure. The theorem is especially important in the theory of financial mathematics as it tells how to convert from the physical measure which… … Wikipedia
Disintegration theorem — In mathematics, the disintegration theorem is a result in measure theory and probability theory. It rigorously defines the idea of a non trivial restriction of a measure to a measure zero subset of the measure space in question. It is related to… … Wikipedia
