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There is a page named "Kolmogorov randomness" on Wikipedia

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  • Thumbnail for Kolmogorov complexity
    algorithmic information theory (or Kolmogorov complexity). Kolmogorov randomness defines a string (usually of bits) as being random if and only if every computer...
    54 KB (7,165 words) - 21:55, 27 July 2024
  • Thumbnail for No free lunch in search and optimization
    exploit, as far as the universal Turing machining used to define Kolmogorov randomness is concerned. So presume that there is one, clearly superior choice...
    25 KB (3,264 words) - 18:07, 8 February 2024
  • Thumbnail for Randomness
    as often as 4. In this view, randomness is not haphazardness; it is a measure of uncertainty of an outcome. Randomness applies to concepts of chance...
    34 KB (4,301 words) - 12:36, 17 June 2024
  • A randomness test (or test for randomness), in data evaluation, is a test used to analyze the distribution of a set of data to see whether it can be described...
    9 KB (1,112 words) - 18:41, 18 March 2024
  • Thumbnail for Andrey Kolmogorov
    Andrey Nikolaevich Kolmogorov (Russian: Андре́й Никола́евич Колмого́ров, IPA: [ɐnˈdrʲej nʲɪkɐˈlajɪvʲɪtɕ kəlmɐˈɡorəf] , 25 April 1903 – 20 October 1987)...
    31 KB (2,779 words) - 04:18, 13 August 2024
  • Thumbnail for Stochastic process
    incorporate randomness into statistical physics by some scientists, such as Rudolf Clausius, most of the work had little or no randomness. This changed...
    162 KB (17,885 words) - 17:56, 1 August 2024
  • Thumbnail for Kolmogorov–Smirnov test
    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...
    32 KB (4,075 words) - 11:50, 28 June 2024
  • Yongge Wang showed that Schnorr randomness is different from computable randomness. Additionally, Kolmogorov–Loveland randomness is known to be no stronger...
    33 KB (4,875 words) - 16:37, 11 May 2024
  • randomness (2-randomness, 3-randomness, etc.). In addition to Martin-Löf randomness concepts, there are also recursive randomness, Schnorr randomness...
    22 KB (2,583 words) - 21:36, 25 May 2024
  • proven. Randomness History of randomness Random number generator Seven states of randomness Statistical randomness Sergio B. Volchan What Is a Random Sequence...
    9 KB (1,190 words) - 02:46, 1 February 2024
  • Thumbnail for Per Martin-Löf
    defines a random string as one that cannot be produced from any computer program that is shorter than the string (Chaitin–Kolmogorov randomness); i.e. a...
    27 KB (2,865 words) - 22:18, 27 May 2024
  • 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...
    6 KB (896 words) - 17:24, 27 April 2024
  • the digits of π exhibit statistical randomness. Statistical randomness does not necessarily imply "true" randomness, i.e., objective unpredictability....
    8 KB (1,076 words) - 02:05, 15 August 2023
  • In fluid dynamics, Kolmogorov microscales are the smallest scales in turbulent flow. At the Kolmogorov scale, viscosity dominates and the turbulence kinetic...
    5 KB (571 words) - 03:09, 26 March 2024
  • Thumbnail for Gregory Chaitin
    Hirschfeldt (2010), Algorithmic Randomness and Complexity, Springer-Verlag. Li; Vitanyi (1997), An Introduction to Kolmogorov Complexity and Its Applications...
    14 KB (1,186 words) - 17:50, 2 August 2024
  • Kolmogorov's Three-Series Theorem, named after Andrey Kolmogorov, gives a criterion for the almost sure convergence of an infinite series of random variables...
    6 KB (979 words) - 22:59, 9 May 2023
  • In probability theory, Kolmogorov's inequality is a so-called "maximal inequality" that gives a bound on the probability that the partial sums of a finite...
    4 KB (802 words) - 22:56, 18 December 2023
  • Thumbnail for Probability axioms
    foundations of probability theory introduced by Russian mathematician Andrey Kolmogorov in 1933. These axioms remain central and have direct contributions to...
    11 KB (1,625 words) - 16:33, 14 April 2024
  • Y)=H(X)+H(Y|X)} That is, the combined randomness of two sequences X and Y is the sum of the randomness of X plus whatever randomness is left in Y once we know X...
    5 KB (695 words) - 06:23, 24 July 2023
  • 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 sphere. What...
    15 KB (2,519 words) - 13:43, 24 May 2024
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