branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of...
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interpretation Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity Kolmogorov–Smirnov...
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T3 if and only if it is both regular and T0. (A T0 or Kolmogorov space is a topological space in which any two distinct points are topologically distinguishable...
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In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous...
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In probability theory, Kolmogorov equations, including Kolmogorov forward equations and Kolmogorov backward equations, characterize continuous-time Markov...
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meaning.) A topological space is a T1 space if and only if it is both an R0 space and a Kolmogorov (or T0) space (i.e., a space in which distinct points...
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distinguishable). A topological space is preregular if and only if its Kolmogorov quotient is Hausdorff. For a topological space X {\displaystyle X} , the following...
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In statistics, the Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2...
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topological space. Moreover, for a uniformizable space X {\displaystyle X} the following are equivalent: X {\displaystyle X} is a Kolmogorov space X {\displaystyle...
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information theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest...
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In fluid dynamics, Kolmogorov microscales are the smallest scales in turbulent flow. At the Kolmogorov scale, viscosity dominates and the turbulence kinetic...
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Remark. Completely regular spaces and Tychonoff spaces are related through the notion of Kolmogorov equivalence. A topological space is Tychonoff if and only...
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The Kolmogorov–Arnold–Moser (KAM) theorem is a result in dynamical systems about the persistence of quasiperiodic motions under small perturbations. The...
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product space Kolmogorov space Lp-space Lens space Liouville space Locally finite space Loop space Lorentz space Mapping space Measure space Metric space Minkowski...
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Taking Kolmogorov quotients, we see that all normal T1 spaces are Tychonoff. These are what we usually call normal Hausdorff spaces. A topological space is...
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In probability theory, Kolmogorov's zero–one law, named in honor of Andrey Nikolaevich Kolmogorov, specifies that a certain type of event, namely a tail...
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Probability axioms (redirect from Kolmogorov axioms)
foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central and have direct contributions to...
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T0 or T00 may refer to: T0 space, a Kolmogorov space T0, a level on the tornado TORRO scale Avianca Perú (former IATA code: T0), a former airline Chambers...
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is always a Kolmogorov space (i.e., it satisfies the T0 separation axiom). However, a dcpo with the Scott topology is a Hausdorff space if and only if...
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of Markovian stochastic processes in probability theory, the Chapman–Kolmogorov equation (CKE) is an identity relating the joint probability distributions...
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KPP–Fisher equation (redirect from Fisher–Kolmogorov equation)
In mathematics, KPP–Fisher equation (named after Andrey Kolmogorov, Ivan Petrovsky, Nikolai Piskunov and Ronald Fisher) also known as the KPP equation...
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The following theorem is due to Kolmogorov: Kolmogorov's normability criterion: A Hausdorff topological vector space is normable if and only if there...
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Stochastic process (redirect from Kolmogorov extension)
Anatoliy Skorokhod and Andrei Kolmogorov, for a continuous-time stochastic process with any metric space as its state space. For the construction of such...
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to that event. The Soviet mathematician Andrey Kolmogorov introduced the notion of a probability space and the axioms of probability in the 1930s. In...
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mathematics, the Kolmogorov extension theorem (also known as Kolmogorov existence theorem, the Kolmogorov consistency theorem or the Daniell-Kolmogorov theorem)...
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{C}}(a,b)} is called the uniform norm or supremum norm ('sup norm'). Kolmogorov, A. N., & Fomin, S. V. (1967). Elements of the theory of functions and...
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Turbulence (redirect from Kolmogorov's theory of 1941)
irregular both in time and in space so that a statistical description is needed. The Russian mathematician Andrey Kolmogorov proposed the first statistical...
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topologists' terms: Weil's idea fails to give a Kolmogorov space and Zariski thinks in terms of the Kolmogorov quotient.) In the rapid foundational changes...
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Soviet mathematician Andrey Nikolaevich Kolmogorov. Let ( S , d ) {\displaystyle (S,d)} be some complete metric space, and let X : [ 0 , + ∞ ) × Ω → S {\displaystyle...
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is not, in general, a T1 space. However, Spec ( R ) {\displaystyle \operatorname {Spec} (R)} is always a Kolmogorov space (satisfies the T0 axiom);...
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