• Thumbnail for Andrey Kolmogorov
    Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров, IPA: [ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf] , 25 April 1903 – 20 October 1987)...
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  • thirteenth problem is a corollary. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous function, then...
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  • Thumbnail for Kolmogorov–Smirnov test
    unknown) probability distribution?". It is named after Andrey Kolmogorov and Nikolai Smirnov. The Kolmogorov–Smirnov statistic quantifies a distance between...
    32 KB (4,063 words) - 11:41, 18 May 2024
  • Thumbnail for Kolmogorov complexity
    Solomonoff–Kolmogorov–Chaitin complexity, program-size complexity, descriptive complexity, or algorithmic entropy. It is named after Andrey Kolmogorov, who...
    54 KB (7,151 words) - 16:51, 27 May 2024
  • mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least...
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  • Thumbnail for Probability axioms
    foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central and have direct contributions...
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  • zero (also known as a null set). It is named after Émile Borel and Andrey Kolmogorov. Suppose that a random variable has a uniform distribution on a unit...
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  • British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov. The CKE is prominently used in recent Variational Bayesian methods...
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  • Kolmogorov's theorem is any of several different results by Andrey Kolmogorov: In statistics Kolmogorov–Smirnov test In probability theory Hahn–Kolmogorov...
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  • continuous-time continuous-state Markov processes. Both were published by Andrey Kolmogorov in 1931. Later it was realized that the forward equation was already...
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  • proposed by L. E. J. Brouwer and Arend Heyting, and independently by Andrey Kolmogorov. It is also sometimes called the realizability interpretation, because...
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  • Thumbnail for KPP–Fisher 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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  • quasiperiodic orbit. The original breakthrough to this problem was given by Andrey Kolmogorov in 1954. This was rigorously proved and extended by Jürgen Moser in...
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  • flows such as in laboratory systems, η may be much smaller. In 1941, Andrey Kolmogorov introduced the hypothesis that the smallest scales of turbulence are...
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  • Thumbnail for Fokker–Planck equation
    described it in 1914 and 1917. It is also known as the Kolmogorov forward equation, after Andrey Kolmogorov, who independently discovered it in 1931. When applied...
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  • that a statistical description is needed. The Russian mathematician Andrey Kolmogorov proposed the first statistical theory of turbulence, based on the...
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  • Thumbnail for Vladimir Arnold
    some works of Leonhard Euler and Charles Hermite. While a student of Andrey Kolmogorov at Moscow State University and still a teenager, Arnold showed in...
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  • function f {\displaystyle f} . It is also called Kolmogorov mean after Soviet mathematician Andrey Kolmogorov. It is a broader generalization than the regular...
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  • can be deduced. The theorem is named after Maurice René Fréchet and Andrey Kolmogorov. Let B {\displaystyle B} be a subset of L p ( R n ) {\displaystyle...
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  • Thumbnail for Energy cascade
    in the inertial subrange. A pioneering work was the deduction by Andrey Kolmogorov in the 1940s of the expected wavenumber spectrum in the turbulence...
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  • of Andrey Kolmogorov. He was born in Simbirsk (now Ulyanovsk), Russia, and died in Moscow. He is perhaps best known for his work with Kolmogorov, and...
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  • Thumbnail for Leonid Levin
    master's degree at Moscow University in 1970 where he studied under Andrey Kolmogorov and completed the Candidate Degree academic requirements in 1972....
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  • In probability theory, Kolmogorov's criterion, named after Andrey Kolmogorov, is a theorem giving a necessary and sufficient condition for a Markov chain...
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  • Khinchin, though the German term had been used earlier in 1931 by Andrey Kolmogorov. In the early 1930s, Aleksandr Khinchin gave the first mathematical...
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  • Kirilenko (politician), Russian Soviet politician Andrey Kolmogorov, Russian mathematician Andrey Korotayev, Russian anthropologist Andrei Kostitsyn...
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  • German Andrey Kolmogorov, "Une série de Fourier–Lebesgue divergente presque partout", Fundamenta Mathematicae 4 (1923), 324–328. Andrey Kolmogorov, "Une...
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  • Thumbnail for Nikolai Luzin
    mathematicians: Pavel Alexandrov, Nina Bari, Aleksandr Khinchin, Andrey Kolmogorov, Aleksandr Kronrod, Mikhail Lavrentyev, Alexey Lyapunov, Lazar Lyusternik...
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  • Thumbnail for Per Martin-Löf
    Martin-Löf received his PhD in 1970 from Stockholm University, under Andrey Kolmogorov. Martin-Löf is an enthusiastic bird-watcher; his first scientific...
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  • Thumbnail for Moscow State University
    Vladimir Arnold, Boris Demidovich, Vladimir Drinfeld, Vitaly Ginzburg, Andrey Kolmogorov, Grigory Margulis, Andrei Sakharov, and Yakov Sinai. Russian and Soviet...
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  • was derived independently by Andrey Kolmogorov and published in 1941. Hence the theory is often called the Wiener–Kolmogorov filtering theory (cf. Kriging)...
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