• 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...
    13 KB (1,797 words) - 02:06, 8 August 2024
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    interpretation Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity Kolmogorov–Smirnov...
    31 KB (2,788 words) - 22:14, 23 September 2024
  • 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...
    9 KB (1,179 words) - 05:19, 3 August 2024
  • In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous...
    23 KB (3,568 words) - 13:30, 27 September 2024
  • In probability theory, Kolmogorov equations, including Kolmogorov forward equations and Kolmogorov backward equations, characterize continuous-time Markov...
    9 KB (1,405 words) - 01:15, 31 August 2024
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    Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2.2), one-dimensional...
    32 KB (4,105 words) - 19:57, 11 September 2024
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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...
    55 KB (7,273 words) - 22:06, 22 August 2024
  • 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...
    12 KB (1,922 words) - 06:22, 22 December 2023
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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...
    69 KB (9,326 words) - 21:09, 27 August 2024
  • distinguishable). A topological space is preregular if and only if its Kolmogorov quotient is Hausdorff. For a topological space X {\displaystyle X} , the following...
    16 KB (2,163 words) - 10:32, 20 August 2024