• Thumbnail for Andrey Kolmogorov
    Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров, IPA: [ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf] , 25 April 1903 – 20 October 1987)...
    31 KB (2,780 words) - 13:49, 6 May 2024
  • thirteenth problem is a corollary. The works of Vladimir Arnold and Andrey Kolmogorov established that if f is a multivariate continuous function, then...
    11 KB (1,644 words) - 23:22, 8 June 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
  • 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
  • British mathematician Sydney Chapman and the Russian mathematician Andrey Kolmogorov. The CKE is prominently used in recent Variational Bayesian methods...
    4 KB (693 words) - 23:22, 10 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...
    13 KB (1,797 words) - 20:06, 26 April 2024
  • 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...
    15 KB (2,519 words) - 13:43, 24 May 2024
  • 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...
    9 KB (1,204 words) - 14:21, 9 June 2023
  • continuous-time continuous-state Markov processes. Both were published by Andrey Kolmogorov in 1931. Later it was realized that the forward equation was already...
    4 KB (734 words) - 06:08, 15 January 2024
  • proposed by L. E. J. Brouwer and Arend Heyting, and independently by Andrey Kolmogorov. It is also sometimes called the realizability interpretation, because...
    8 KB (1,288 words) - 13:40, 27 May 2024
  • 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...
    7 KB (921 words) - 09:21, 13 April 2024
  • Thumbnail for Probability axioms
    foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central and have direct contributions...
    11 KB (1,625 words) - 16:33, 14 April 2024
  • Kolmogorov's theorem is any of several different results by Andrey Kolmogorov: In statistics Kolmogorov–Smirnov test In probability theory Hahn–Kolmogorov...
    611 bytes (89 words) - 09:28, 26 March 2017
  • 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...
    35 KB (6,474 words) - 16:37, 5 March 2024
  • 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...
    5 KB (571 words) - 03:09, 26 March 2024
  • that a statistical description is needed. The Russian mathematician Andrey Kolmogorov proposed the first statistical theory of turbulence, based on the...
    44 KB (5,400 words) - 20:51, 14 April 2024
  • 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...
    8 KB (1,654 words) - 20:50, 23 July 2022
  • 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...
    7 KB (385 words) - 09:08, 5 January 2024
  • 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...
    47 KB (4,683 words) - 12:34, 22 March 2024
  • Kirilenko (politician), Russian Soviet politician Andrey Kolmogorov, Russian mathematician Andrey Korotayev, Russian anthropologist Andrei Kostitsyn...
    4 KB (380 words) - 23:05, 22 August 2023
  • 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...
    12 KB (1,397 words) - 09:17, 14 April 2024
  • 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....
    8 KB (656 words) - 01:11, 20 April 2024
  • function f {\displaystyle f} . It is also called Kolmogorov mean after Soviet mathematician Andrey Kolmogorov. It is a broader generalization than the regular...
    10 KB (1,809 words) - 03:13, 28 May 2024
  • Thumbnail for Nikolai Luzin
    mathematicians: Pavel Alexandrov, Nina Bari, Aleksandr Khinchin, Andrey Kolmogorov, Aleksandr Kronrod, Mikhail Lavrentyev, Alexey Lyapunov, Lazar Lyusternik...
    17 KB (2,008 words) - 01:07, 7 June 2024
  • Khinchin, though the German term had been used earlier in 1931 by Andrey Kolmogorov. In the early 1930s, Aleksandr Khinchin gave the first mathematical...
    28 KB (3,333 words) - 20:18, 31 March 2024
  • 17 August 1975) was a Soviet mathematician who was co-author with Andrey Kolmogorov of Introductory real analysis, and co-author with Israel Gelfand of...
    3 KB (303 words) - 21:52, 29 October 2023
  • In 1973, Andrey Kolmogorov proposed a non-probabilistic approach to statistics and model selection. Let each datum be a finite binary string and a model...
    17 KB (2,704 words) - 19:32, 3 October 2023
  • was derived independently by Andrey Kolmogorov and published in 1941. Hence the theory is often called the Wiener–Kolmogorov filtering theory (cf. Kriging)...
    16 KB (2,953 words) - 00:51, 17 April 2024
  • Thumbnail for Kriging
    experiments. The technique is also known as Wiener–Kolmogorov prediction, after Norbert Wiener and Andrey Kolmogorov. The theoretical basis for the method was...
    39 KB (5,984 words) - 14:04, 4 May 2024
  • In probability theory, Kolmogorov's Three-Series Theorem, named after Andrey Kolmogorov, gives a criterion for the almost sure convergence of an infinite...
    6 KB (979 words) - 22:59, 9 May 2023