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词汇 Catastrophy
分类 英语词汇 英语翻译词典
释义

Catastrophy

原声例句
BBC 听力 2016年10月合集

The UN humanitarian chief Steven O'Brien said conditions in Aleppo had descended into a merciless abyss of humanitarian catastrophy.

联合国人道主义事务负责人奥布莱恩(Stephen O'Brien)表示,阿勒颇的形势已经陷入人道主义灾难的残酷深渊。

英语百科

Catastrophe theory

(重定向自Catastrophy)
Diagram of cusp catastrophe, showing curves (brown, red) of x satisfying dV/dx = 0 for parameters (a,b), drawn for parameter b continuously varied, for several values of parameter a.

Outside the cusp locus of bifurcations (blue), for each point (a,b) in parameter space there is only one extremising value of x. Inside the cusp, there are two different values of x giving local minima of V(x) for each (a,b), separated by a value of x giving a local maximum.
Cusp shape in parameter space (a,b) near the catastrophe point, showing the locus of fold bifurcations separating the region with two stable solutions from the region with one.
Pitchfork bifurcation at a = 0 on the surface b = 0

In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general singularity theory in geometry.

Bifurcation theory studies and classifies phenomena characterized by sudden shifts in behavior arising from small changes in circumstances, analysing how the qualitative nature of equation solutions depends on the parameters that appear in the equation. This may lead to sudden and dramatic changes, for example the unpredictable timing and magnitude of a landslide.

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