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
interpretation Kolmogorov microscales Kolmogorov's normability criterion Fréchet–Kolmogorov theorem Kolmogorov space Kolmogorov complexity Kolmogorov–Smirnov...
31 KB (2,779 words) - 04:18, 13 August 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 probability theory, Kolmogorov equations, including Kolmogorov forward equations and Kolmogorov backward equations, characterize continuous-time Markov...
8 KB (1,396 words) - 18:23, 27 April 2024
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
In real analysis and approximation theory, the Kolmogorov–Arnold representation theorem (or superposition theorem) states that every multivariate continuous...
11 KB (1,656 words) - 00:21, 9 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) - 05:00, 9 August 2024
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...
54 KB (7,165 words) - 21:55, 27 July 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
topological space. Moreover, for a uniformizable space X {\displaystyle X} the following are equivalent: X {\displaystyle X} is a Kolmogorov space X {\displaystyle...
26 KB (4,338 words) - 04:35, 18 July 2024