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Firstly, data processing method based on gray theory is used to change acoustic emission information into prediction data. Then prediction data is transformed into essential format of cusp catastrophic model by the least squares principle curve fitting and differential coefficient homeomorphous change. Finally, the gray and catastrophic prediction model is put forward to forecast failure time of rock slope.

首先运用灰色理论对声发射监测数据进行处理,得到预测数据,运用最小二乘曲线拟合展开,再运用微分同胚变换,转换为尖点突变模型的基本形式,建立灰色突变预测预报模型,从而对崩塌的时间进行预报。

In some conditions the fluctuation of stock price is not a continuous process,in order to imitate and analyze the uncontinuous process,a cusp catastrophe model of stock price is set up,in the mean time makes a brief analysis of this model,and finally gives some advices according to the analysis.

针对股票价格变化在某种条件下具有不连续性的问题,对这种不连续的股票价格变化进行了描述与分析。以突变理论为基础,建立了一个描述股票价格短期变化过程的尖点突变模型,并对该模型进行了简要分析。最后,根据分析结果提出了相应的政策建议

The results show that, influenced by the rarefaction waves from the left sharp corner, the reaction zone is separated from the leading shock. Then, the detonation is degenerated into the deflagration. The winkled reaction front can be clearly identified in numerical schlieren and temperature contours.

结果表明:气相爆轰波在分叉管中传播,分叉口左尖点的稀疏波导致诱导激波后压力、温度急剧下降,诱导激波和化学反应区分离,爆轰波衰减为爆燃波。

Off'.'' a bit with a chisel so that it will sit into the hole.

用凿子把这塞子一头削尖点,使它能塞进孔里。

Taper the plug off a bit with a chisel so that it will sit into the hole.

用凿子把这塞子一头削尖点,使它能塞进孔里。

Based on the total potential energy principle, the cusp catastrophic model for instability and failure of deep-buried tunnel surrounding rock is established. Through the observed data of settlement values of typical section vault of deep-buried tunnel and the sudden threshold values of displacement of each monitoring section, the variable values of vault settlement function are obtained, and the stability of deep surrounding rock in tunnel is decided.

运用突变理论探讨了深埋隧道失稳的机制;根据总势能原理,建立了隧道失稳的尖点突变模型,导出了失稳的力学判据条件;并基于深埋隧道典型断面拱顶下沉量现场量测的数据,计算出拱顶下沉函数的各变量值,由各监测断面位移突变阀值来判别深埋隧道围岩的稳定性,分析结果与实际施工围岩情况一致。

According to heat flux potential function and zero-dimensional thermal model, the cusp Catastrophe model is established and the ignition property is discussed. The cusp Catastrophe model, which considers furnace temperature as state parameter and airflow flux and air temperature as controlling parameter, can explain ignition and unsteady phenomenon well.

以热流势函数建立了零维尖点突变模型,突变模型以炉膛温度为状态变量﹑高温空气温度和空气量为控制变量的,可以较好地解释高温空气回转窑内着火的复杂现象和系统出现的不稳定状态。

Hawksbills get their name from their tapered heads, which end in a sharp point resembling a bird's beak.

一只玳瑁龟游泳正好在海底上面和阔鳍伸展像翅膀玳瑁龟得到它们的名字从它们锥形的头,以尖点告终相似一只鸟的嘴。

On the clip the tiny SUV goes through its paces by firstly negotiating a gravel track with haystacks as apex points.

在剪辑的小越野车经过了测试的第一谈判砂石赛道haystacks作为尖点

The central peaks of several craters on the flanks of Syrtis Major are made up of an even more silica-rich rock, granite, that may have formed by extreme crystal separation or by large-scale remelting of earlier basalts.

在大三角侧面,几个火山口的中间尖点是由一种矽含量更高的岩石──花岗岩所构成,可能是经极度晶体分化,或早期玄武岩大范围重新熔融而形成。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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