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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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樓主
發(fā)表于 2025-3-21 16:39:13 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Catastrophe Theory
編輯Vladimir Igorevich Arnold
視頻videohttp://file.papertrans.cn/223/222504/222504.mp4
圖書封面Titlebook: Catastrophe Theory;  Vladimir Igorevich Arnold Book 19862nd edition Springer-Verlag Berlin Heidelberg 1986 Bifurcations.Catastrophe Theory.
出版日期Book 19862nd edition
關(guān)鍵詞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
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沙發(fā)
發(fā)表于 2025-3-21 22:44:13 | 只看該作者
,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.
板凳
發(fā)表于 2025-3-22 02:08:29 | 只看該作者
地板
發(fā)表于 2025-3-22 04:50:43 | 只看該作者
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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發(fā)表于 2025-3-22 12:28:11 | 只看該作者
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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發(fā)表于 2025-3-23 00:12:32 | 只看該作者
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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發(fā)表于 2025-3-23 07:53:18 | 只看該作者
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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