天空 发表于 2025-3-28 17:49:29

Complex Singularities,Mathematicians know well that going over to the complex case usually simplifies a problem, rather than making it more complicated. For example, every algebraic equation of degree . has exactly . complex roots, while it is a difficult problem to find the number of real roots.

FOIL 发表于 2025-3-28 19:12:44

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Conspiracy 发表于 2025-3-29 00:29:11

https://doi.org/10.1007/978-3-642-96937-9Bifurcations; Catastrophe Theory; Katastrophe; Katastrophentheorie; Optimierungsprobleme; Optimization Pr

Cuisine 发表于 2025-3-29 03:24:36

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Heart-Attack 发表于 2025-3-29 08:41:01

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乱砍 发表于 2025-3-29 13:09:50

Loss of Stability of Equilibrium and of Self-Oscillating Modes of Behaviour,

吞没 发表于 2025-3-29 17:22:24

Lecture Notes in Computer Sciencentary particles. Among the published works on catastrophe theory are studies of the stability of ships, models for the activity of the brain and mental disorders, for prison uprisings, for the behaviour of investors on the stock exchange, for the influence of alcohol on drivers and for censorship po

Cpap155 发表于 2025-3-29 22:09:41

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DEBT 发表于 2025-3-30 01:01:29

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标准 发表于 2025-3-30 06:42:18

The Large-Scale Distribution of Matter in the Universe, come about? Ya. B. Zel’dovich in 1970 proposed an explanation of the formation of clusters of dustlike material that is mathematically equivalent to the analysis of the formation of singularities of caustics.
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查看完整版本: Titlebook: Catastrophe Theory; Vladimir Igorevich Arnold Book 19862nd edition Springer-Verlag Berlin Heidelberg 1986 Bifurcations.Catastrophe Theory.