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- W65659664 abstract "In the 1960s, A.N. Kolmogorov described the main reason why a mathematical correct solution to a system of differential equations may be not physically possible: Traditional mathematical analysis tacitly assumes that all numbers, no matter how large or how small, are physically possible. From the engineering viewpoint, however, a number like 1010 10 is not possible, because it exceeds the number of particles in the Universe. In this paper, we extend Kolmogorov’s ideas from discrete objects to continuous objects known with given accuracy e, and show how this extension can clarify the analysis of dynamical systems." @default.
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- W65659664 date "2004-01-01" @default.
- W65659664 modified "2023-09-27" @default.
- W65659664 title "Application of Kolmogorov Complexity to Advanced Problems in Mechanics" @default.
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