The catastrophe model of mine spontaneous fire is established by using the theory of cusp catastrophe, the important conclusions about preventing and controlling mine spontaneous fire are deduced.
运用尖点突变理论，建立了矿井自燃火灾的突变模型，最后得出了关于矿井自燃火灾防治方面具有重要意义的结论。
An abnormality diagnosis model was developed for hydraulic concrete structures operating with cracks occurring in their bodies by use of the wavelet analysis and cusp catastrophe theory.
对于带缝运行的水工混凝土结构，用小波分析和突变理论相结合的方法，建立裂缝转异诊断模型。
On the basis of the thin plate theory, the cusp catastrophe model of water outburst at vertical shaft floor could be set.
在薄板理论的基础上，建立了立井井筒底板突水的突变模型。
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