case) Kolmogorov dimension (upper box dimension) Kolmogorov–Arnold theorem Kolmogorov–Arnold–Moser theorem Kolmogorov continuity theorem Kolmogorov's criterion...
31 KB (2,788 words) - 22:14, 23 September 2024
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
Stochastic process (redirect from Kolmogorov extension)
way than Kolmogorov, while studying Brownian movement. The differential equations are now called the Kolmogorov equations or the Kolmogorov–Chapman equations...
162 KB (17,916 words) - 23:13, 14 September 2024
Avrami equation (redirect from Johnson–Mehl–Avrami–Kolmogorov equation)
as the Johnson–Mehl–Avrami–Kolmogorov (JMAK) equation. The equation was first derived by Johnson, Mehl, Avrami and Kolmogorov (in Russian) in a series of...
12 KB (1,910 words) - 06:29, 11 July 2024
Fokker–Planck equation (redirect from Kolmogorov Forward 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 (6,476 words) - 01:19, 31 August 2024
Turbulence (redirect from Kolmogorov's theory of 1941)
2π/r. Therefore, by dimensional analysis, the only possible form for the energy spectrum function according with the third Kolmogorov's hypothesis is E (...
46 KB (5,545 words) - 07:32, 27 September 2024
function. The Kolmogorov–Arnold representation theorem is similar in spirit. Indeed, certain neural network families can directly apply the Kolmogorov–Arnold...
37 KB (5,024 words) - 20:38, 15 September 2024
Chaos theory (redirect from High-dimensional chaos)
equations, were carried out by George David Birkhoff, Andrey Nikolaevich Kolmogorov, Mary Lucy Cartwright and John Edensor Littlewood, and Stephen Smale....
123 KB (14,111 words) - 01:51, 24 September 2024
his mathematical works by Pavel Alexandrov, Vadim Efremovich, Andrei Kolmogorov, Lazar Lyusternik, and Mark Krasnosel'skii. "Pavel Urysohn - Biography"...
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n , p {\displaystyle n,p} (number of data points and dimension size, respectively). Kolmogorov asymptotics which studies the asymptotic behavior where...
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C&C Foundation, the 2014 Kampé de Fériet Award, the 2017 IEEE John von Neumann Medal. In 2018, he received the Kolmogorov Medal from University of London...
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Nelkin until her death in 2003. Does Kolmogorov mean field theory become exact for turbulence above some critical dimension? Biography at Cornell Engineering...
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C\approx 1.5} . In k-space the value associated to the Kolmogorov length scale is the Kolmogorov wavenumber k η {\displaystyle k_{\eta }} , where viscous...
50 KB (6,270 words) - 23:02, 5 March 2024
2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and...
50 KB (4,941 words) - 20:09, 28 September 2024
book.....T. Kolmogorov, A. N. (1941). "Dissipation of energy in the locally isotropic turbulence". Comptes Rendus de l'Académie des Sciences de l'URSS. 32...
31 KB (3,922 words) - 23:48, 7 August 2024
Gvishiani 1982 Clozel & Delorme 1985, pp. 331–333 de Groot & Mazur 1984, p. 146 Champeney 1987, p. 80 Kolmogorov & Fomin 1999 Wiener 1949 Champeney 1987, p. 63...
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Heisenberg space Hilbert space Homogeneous space Inner product space Kolmogorov space Lp-space Lens space Liouville space Locally finite space Loop space...
69 KB (9,326 words) - 21:09, 27 August 2024
only characterizes a probability distribution if it satisfies all the Kolmogorov axioms, that is: P ( X ∈ E ) ≥ 0 ∀ E ∈ A {\displaystyle P(X\in E)\geq...
47 KB (6,403 words) - 14:52, 16 August 2024
P.S. (1969) [1956]. "Chapter XVIII Topology". In Aleksandrov, A.D.; Kolmogorov, A.N.; Lavrent'ev, M.A. (eds.). Mathematics / Its Content, Methods and...
35 KB (4,041 words) - 02:06, 28 September 2024
illustrate his assertion. 1925. A. N. Kolmogorov: "On the principle of excluded middle", pp. 414–437. Kolmogorov supports most of Brouwer's results but...
20 KB (2,255 words) - 03:35, 28 September 2024
random walker Shannon entropy can be overcome by adapting it to use a Kolmogorov–Sinai entropy. In this context, network entropy is the entropy of a stochastic...
25 KB (3,470 words) - 07:59, 25 August 2024
Within statistics, the Kolmogorov–Zurbenko (KZ) filter was first proposed by A. N. Kolmogorov and formally defined by Zurbenko. It is a series of iterations...
30 KB (4,275 words) - 10:20, 13 August 2023
in training of PINNs in advection-dominated PDEs can be explained by Kolmogorov n–width of the solution. They also fail to solve a system of dynamical...
31 KB (3,875 words) - 11:31, 4 September 2024
as n tends to infinity. It also estimates the tail probability of the Kolmogorov–Smirnov statistic. The inequalities above follow from the case where F...
9 KB (1,286 words) - 07:36, 13 May 2024
emphasis on teaching physics and mathematics that was organized by Andrei Kolmogorov. Following his graduation of the school (with honors) in 1965, he successfully...
10 KB (1,227 words) - 06:59, 22 April 2023
Norm (mathematics) (category CS1 German-language sources (de))
{\displaystyle p=p_{A}} is continuous. The converse is due to Andrey Kolmogorov: any locally convex and locally bounded topological vector space is normable...
34 KB (5,699 words) - 02:44, 6 September 2024
set of Wang tiles can tile the plane. The problem of determining the Kolmogorov complexity of a string. Hilbert's tenth problem: the problem of deciding...
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Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem...
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Kolmogorov, "Une série de Fourier–Lebesgue divergente presque partout", Fundamenta Mathematicae 4 (1923), 324–328. Andrey Kolmogorov, "Une série de Fourier–Lebesgue...
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theorem. Riesz also established, independently of Andrey Kolmogorov, what is now called the Kolmogorov–Riesz compactness criterion in Lp: a subset K ⊂Lp(Rn)...
12 KB (1,309 words) - 21:19, 29 July 2024