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Titlebook: Catastrophe Theory; Vladimir Igorevich Arnold Textbook 19841st edition Springer-Verlag Berlin Heidelberg 1984 Bifurcations.Calc.Catastroph

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樓主: Osteopenia
31#
發(fā)表于 2025-3-27 00:20:04 | 只看該作者
Springer Tracts in Advanced Roboticsobstacle consists of line segments and segments of geodesics (curves of minimal length) on the obstacle surface. The geometry of the shortest paths is greatly affected by the inflections of the obstacle surface.
32#
發(fā)表于 2025-3-27 03:21:53 | 只看該作者
33#
發(fā)表于 2025-3-27 07:57:49 | 只看該作者
Balsing Rajput,Dhrumi Gada,Amit Kof the Zeeman type one has the more philosophical work of the mathematician René Thorn who first revealed the universality of the Whitney singularity theory (and the preceding work of Poincaré and Andronov on bifurcation theory), introduced the term ‘catastrophe theory’ and has been a great propagan
34#
發(fā)表于 2025-3-27 13:10:22 | 只看該作者
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35#
發(fā)表于 2025-3-27 15:06:05 | 只看該作者
,Applications of Whitney’s Theory,gularities of generic mappings, we can try to use this information to study large numbers of different phenomena and processes in all areas of science. This sample idea is the whole essence of catastrophe theory.
36#
發(fā)表于 2025-3-27 19:26:40 | 只看該作者
37#
發(fā)表于 2025-3-27 23:44:44 | 只看該作者
Singularities in Optimization Problems, the Maxima Function,, control theory and decision theory. For instance, suppose we have to find . such that the value of a function . (. ) is maximal (Fig. 46). On smooth change of the function the optimum solution changes with a jump, transferring from one competing maxima (A) to the other (B).
38#
發(fā)表于 2025-3-28 04:18:31 | 只看該作者
39#
發(fā)表于 2025-3-28 10:02:00 | 只看該作者
40#
發(fā)表于 2025-3-28 13:07:14 | 只看該作者
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