尖点

And the seismic signal is transformed into the standard form of cusp catastrophe by establishing the cusp model.

阐述了尖点突变理论，建立了地震信号尖点突变模型并转化为尖点突变的标准形式，在时间域内提取突跳势、突跳时间；在频率域内提取突跳势、突跳次数等参数。

The cusp catastrophe theory was described. The cusp catastrophe model of seismic signal was established, and it was converted into the standard form of cusp catastrophe.

阐述了尖点突变理论，建立了地震信号尖点突变模型，并将其转化为尖点突变的标准形式。

We also obtain the expansion of the first Melnikov function for a system exhibiting a cuspidal loop.

对于一类具有尖点环的哈密顿系统给出了其在尖点环附近的一阶 Melnikov函数的展开式。

Basing on the positional characteristics of double cusp s produced in the track of link points of planar four-bar linkage and combining with the synthetic equation of conventional track generator,the constraint equation set for the position of track generator that could realize two cusp s;and by means of successive elimination to obtain the most simplified forms of constraint equation set.

基于平面四杆机构连杆点轨迹产生双尖点的位置特性，结合常规轨迹发生器综合方程，建立了能实现双尖点的轨迹发生器的位置约束方程组，并经过逐次消元，得到了约束方程组的最简形式。

According to this theory, the stress intensity factor around the crack-tip is a function of several variables, while Irwin's stress intensity factor K1 is a constant, therefore the factor K1 becomes a particular case of the generalized factor K1g.

作为钝角裂纹模型的K1g将在无限细的数学裂纹的尖点上退化为K1。广义应力强度因子的表达形式为风K1g＝ηK1，其中η是一个多变量函数，它是一个对于K1；的修正系数。在数学裂纹尖点上有η＝1。

Firstly, based on the force acting on a single-particle, establish a discriminant formula of the sand threshold, and prove that the sand threshold belongs to the cusp catastrophe. Then establish the basic equation of the cusp catastrophe using coordinate transformation and catastrophe theory. Finally, while particle Reynold number and equivalend diameter are the state variables and Shields parameter is the control variables, we can obtain the model of cusp catastrophe of sand threshold, putting those variables into the basic equations of the cusp catastrophe. The model is derived from the mathematics, which has a certain mathematical theory foundation.

首先从单颗沙粒受力分析出发，建立沙床沙粒起动条件判别公式，进而证明了风沙起动属于尖点型突变；然后通过坐标变换和突变理论建立了尖点突变的基本方程；最后本文选择颗粒雷诺数和等效粒径作为控制变量，希尔兹参数作为状态变量，并把它们代入尖点突变的基本方程，经过拓扑变换得到风沙起动的尖点突变模型，并与前人的公式及实验数据进行比较。

We give all of these properties by means of theorems, and also give detail proofs. In the most important theorem, we give the relation between singularity and jumps and sharp cusps neighborhood. and the threshold detection of jumps and sharp cusps, and the relation between threshold and scales, where we partly resolve an open problem put forward by some researcher.

在最关键的定理中，给出了奇异性与突变点和尖点的领域的关系，以及突变点和尖点的阀值检测法，以及阀值和尺度的关系，这部分的解决了以前研究者提出的一个公开问题，同时研究了逼近程度和逼近理论，这在已有的基础上又向前进了一步。

Firstly, we study the theory and application of jump points and sharp cusp points detection by wavelet transform. The studied object is from white noise to correlated noise. We have studied the properties of correlated noise in wavelet transform, and the properties of deterministic function with jumps and sharp cusps in wavelet transform.

首先研究了研究了小波变换在突变点与尖点检测中的理论与应用，研究的对象由白噪到相关噪声，研究了相关噪声在小波变换的性质，以及对具有突变点和尖点的函数在小波变换下的性质，有关这些性质，我们均以定理形式给出，并给出了详细的证明。

As the memory of the memory slots in the ordinary point of contact is very thin wire, the conventional means of hard to play, brought a sweater with a crochet hook (the kind of hard又尖又), with the smallest end of the tip of the ordinary memory contact wire is a hook pressure is through the efforts of, the basic memory slot Goldfinger will wire into contact with it in the slot, and then the question of the film installed on the motherboard CPU, board and connection, plug the memory, boot "toot" out of the clear voice of the machine light and smooth access to Win98, the main board again,"induction" of the.

由于内存插槽中的内存金手指接触点金属丝很细，常规手段难以施展，找来勾毛衣用的钩针，用最细最尖的一端，对内存金手指接触丝又是压又是勾，经过努力，基本将插槽的内存金手指接触丝挤进了它所在缝隙中，然后将这片问题主板装上CPU、板卡和连线，插内存，开机，&嘟&的一声清脆的声音，机器点亮，顺利进入Win98，主板又重新&上岗&了。

As the memory of the memory slots in the ordinary point of contact is very thin wire, the conventional means of hard to play, brought a sweater with a crochet hook (the kind of hard又尖又), with the smallest end of the tip of the ordinary memory contact wire is a hook pressure is through the efforts of, the basic memory slot Goldfinger will wire into contact with it in the slot, and then the question of the film installed on the motherboard CPU, board and connection, plug the memory, boot "toot" out of the clear voice of the machine light and smoothly into the operating system, the computer again,"induction" of the.

由于内存插槽中的内存金手指接触点金属丝很细，常规手段难以施展，找来勾毛衣用的钩针，用最细最尖的一端，对内存金手指接触丝又是压又是勾，经过努力，基本将插槽的内存金手指接触丝挤进了它所在缝隙中，然后将这片问题主板装上CPU、板卡和连线，插内存，开机，&嘟&的一声清脆的声音，机器点亮，顺利进入了操作系统，电脑又重新&上岗&了。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

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。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了