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The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
  • A. Kolmogorov
  • Physics, Mathematics
  • Proceedings of the Royal Society of London…
  • 8 July 1991
§1. We shall denote by uα(P) = uα (x1, x2, x3, t), α = 1, 2, 3, the components of velocity at the moment t at the point with rectangular cartesian coordinates x1, x2, x3. In considering theExpand
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Dissipation of energy in the locally isotropic turbulence
  • A. Kolmogorov
  • Physics
  • Proceedings of the Royal Society of London…
  • 1 April 1941
In my note (Kolmogorov 1941a) I defined the notion of local isotropy and introduced the quantities Bdd(r)=[ud(M′)−ud(M)]2,¯[un(M′)−un(M)¯]2, where r denotes the distance between the points M and M',Expand
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Entropy and "-capacity of sets in func-tional spaces
The article is mainly devoted to the systematic exposition of results that were published in the years 1954–1958 by K. I. Babenko [1], A. G. Vitushkin [2,3], V. D. Yerokhin [4], A. N. KolmogorovExpand
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Neural Network Simulation and the Prediction of Corporate Outcomes: Some Empirical Findings
Neural Networks (NN's) involve an innovative method of simulating and analysing complex and constantly changing systems of relationships. Originally developed to mimic the neural architecture andExpand
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