duodenum 发表于 2025-3-21 16:39:13
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,Applications of Whitney’s Theory,ingularities of generic mappings, we can try to use this information to study large numbers of diverse phenomena and processes in all areas of science. This simple idea is the whole essence of catastrophe theory.咆哮 发表于 2025-3-22 02:08:29
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The Large-Scale Distribution of Matter in the Universe,ies and so on). Astrophysicists nowadays think that in the early stages of the development of the universe there was no such inhomogeneity. How did it come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent toWernickes-area 发表于 2025-3-22 12:28:11
Singularities in Optimization Problems: the Maximum Function,tion, control theory and decision theory. For instance, suppose we have to find . such that the value of a function .(.) is maximal (Fig. 46). Under a smooth change of the function the optimal solution changes with a jump from one of the two competing maxima (.) to the other (.).贝雷帽 发表于 2025-3-22 13:09:43
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The Mysticism of Catastrophe Theory,stigations of the Zeeman type, one has the more philosophical work of the mathematician René Thorn, who first recognized the all-encompassing nature of Whitney’s work on singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe’, and省略 发表于 2025-3-23 03:15:17
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Benchmarking Opportunistic Networksingularities of generic mappings, we can try to use this information to study large numbers of diverse phenomena and processes in all areas of science. This simple idea is the whole essence of catastrophe theory.