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Titlebook: Catastrophe Theory; Vladimir Igorevich Arnold Book 19862nd edition Springer-Verlag Berlin Heidelberg 1986 Bifurcations.Catastrophe Theory.

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发表于 2025-3-21 16:39:13 | 显示全部楼层 |阅读模式
书目名称Catastrophe Theory
编辑Vladimir Igorevich Arnold
视频video
图书封面Titlebook: Catastrophe Theory;  Vladimir Igorevich Arnold Book 19862nd edition Springer-Verlag Berlin Heidelberg 1986 Bifurcations.Catastrophe Theory.
出版日期Book 19862nd edition
关键词Bifurcations; Catastrophe Theory; Katastrophe; Katastrophentheorie; Optimierungsprobleme; Optimization Pr
版次2
doihttps://doi.org/10.1007/978-3-642-96937-9
isbn_ebook978-3-642-96937-9
copyrightSpringer-Verlag Berlin Heidelberg 1986
The information of publication is updating

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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.
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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 to
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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 (.).
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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
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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.
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