Khinchin's theorem

Khinchin's theorem

Khinchin's theorem may refer to any of several different results by Aleksandr Khinchin:
*Wiener–Khinchin theorem
*Khinchin's constant
*Khinchin's theorem on the factorization of distributions
*Khinchin's theorem on Diophantine approximations


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  • Khinchin's constant — In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x , the infinitely many denominators a i of the continued fraction expansion of x have an astonishing property: their geometric mean is a constant, known as… …   Wikipedia

  • Wiener–Khinchin theorem — The Wiener–Khinchin theorem (also known as the Wiener–Khintchine theorem and sometimes as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem) states that the power spectral density of a wide sense stationary random process is …   Wikipedia

  • Aleksandr Khinchin — Aleksandr Yakovlevich Khinchin (Russian Александр Яковлевич Хинчин, French Alexandre Khintchine) (July 19,1894 – November 18, 1959) was a Russian mathematician and one of the most significant people in the Soviet school of probability theory. He… …   Wikipedia

  • Equidistribution theorem — In mathematics, the equidistribution theorem is the statement that the sequence : a , 2 a , 3 a , ... mod 1 is uniformly distributed on the unit interval, when a is an irrational number. It is a special case of the ergodic theorem.clarify… …   Wikipedia

  • Fluctuation dissipation theorem — In statistical physics, the fluctuation dissipation theorem is a powerful tool for predicting the non equilibrium behavior of a system such as the irreversible dissipation of energy into heat from its reversible fluctuations in thermal… …   Wikipedia

  • Wiener-Khinchin-Theorem — Das Wiener Chintschin Theorem, auch bekannt als Wiener Chintchin Kriterium oder Chintschin Kolmogorow Theorem, besagt, dass die spektrale Leistungsdichte eines „stationären[1]Zufallsprozesses“ die Fourier Transformation der korrespondierenden… …   Deutsch Wikipedia

  • Generalized Helmholtz theorem — The generalized Helmholtz theorem is the multi dimensional generalization of the Helmholtz theorem which is valid only in one dimension. The generalized Helmholtz theorem reads as follows.Let:mathbf{p}=(p 1,p 2,...,p s), :mathbf{q}=(q 1,q 2,...,q …   Wikipedia

  • Aleksandr Khinchin — Alexander Chintschin Alexander Jakowlewitsch Chintschin (andere Schreibweise: Aleksandr Jakovlevich Khintchine, russisch Александр Яковлевич Хинчин, wissenschaftliche Transliteration: Aleksandr Âkovlevič Hinčin; * 7. / 19. Juli 1894 in Kondrowo… …   Deutsch Wikipedia

  • List of mathematics articles (K) — NOTOC K K approximation of k hitting set K ary tree K core K edge connected graph K equivalence K factor error K finite K function K homology K means algorithm K medoids K minimum spanning tree K Poincaré algebra K Poincaré group K set (geometry) …   Wikipedia

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