case) Kolmogorov dimension (upper box dimension) Kolmogorov–Arnold theorem Kolmogorov–Arnold–Moser theorem Kolmogorov continuity theorem Kolmogorov's criterion...

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...

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...

⁠2π/r⁠. Therefore, by dimensional analysis, the only possible form for the energy spectrum function according with the third Kolmogorov's hypothesis is E (...

way than Kolmogorov, while studying Brownian movement. The differential equations are now called the Kolmogorov equations or the Kolmogorov–Chapman equations...

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...

equations, were carried out by George David Birkhoff, Andrey Nikolaevich Kolmogorov, Mary Lucy Cartwright and John Edensor Littlewood, and Stephen Smale....

function. The Kolmogorov–Arnold representation theorem is similar in spirit. Indeed, certain neural network families can directly apply the Kolmogorov–Arnold...

n , p {\displaystyle n,p} (number of data points and dimension size, respectively). Kolmogorov asymptotics which studies the asymptotic behavior where...

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...

Nelkin until her death in 2003. Does Kolmogorov mean field theory become exact for turbulence above some critical dimension? Biography at Cornell Engineering...

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...

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...

his mathematical works by Pavel Alexandrov, Vadim Efremovich, Andrei Kolmogorov, Lazar Lyusternik, and Mark Krasnosel'skii. "Pavel Urysohn - Biography"...

emphasis on teaching physics and mathematics that was organized by Andrei Kolmogorov. Following his graduation of the school (with honors) in 1965, he successfully...

Heisenberg space Hilbert space Homogeneous space Inner product space Kolmogorov space Lp-space Lens space Liouville space Locally finite space Loop space...

2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and...

illustrate his assertion. 1925. A. N. Kolmogorov: "On the principle of excluded middle", pp. 414–437. Kolmogorov supports most of Brouwer's results but...

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...

P.S. (1969) [1956]. "Chapter XVIII Topology". In Aleksandrov, A.D.; Kolmogorov, A.N.; Lavrent'ev, M.A. (eds.). Mathematics / Its Content, Methods and...

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...

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...

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...

theorem. Riesz also established, independently of Andrey Kolmogorov, what is now called the Kolmogorov–Riesz compactness criterion in Lp: a subset K ⊂Lp(Rn)...

Kolmogorov, "Une série de Fourier–Lebesgue divergente presque partout", Fundamenta Mathematicae 4 (1923), 324–328. Andrey Kolmogorov, "Une série de Fourier–Lebesgue...

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...

(complex analysis) Kolmogorov extension theorem (stochastic processes) Kolmogorov's three-series theorem (mathematical series) Kolmogorov–Arnold representation...

Moscow to discuss his research with Kolmogorov. Maltsev's first publications were on logic and model theory. Kolmogorov soon invited him to join his graduate...

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...

Anosov, developed Anosov diffeomorphism Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem...