波函数

By use of the series representation of the Bessel function of the first kind and zero order, the approximate expression of the wave structure function under all conditions of atmospheric turbulence is derived.

由第一类零阶贝塞尔函数的级数展开推导出波结构函数在任意湍流条件下的近似表达式。

By means of the undetermined coefficient method ,which is submitted in reference for solving nonlinear wave equations for their peaked soliton solutions ,three kinds of peaked soliton solutions are obtained for two important nonlinear wave equations— Korteweg-de Vries equation and Benjamin-Bona-Mahonyequation,respectively. One kind of peaked compacton solution ,which has the characteristics of both peaked soliton solution and compacton solution ,is obtained for above two equations with the aid of transformation relation between triangle function and hyperbolic function,. By use of above solutions, two kinds of periodic peaked traveling wave solutions are constructed.

摘 要：利用文献中提出的求非线性波方程尖峰孤子解的方法，分别求解了两个重要的非线性波方程—Korteweg-de Vries 方程和Benjamin-Bona-Mahony BBM）方程，得到了3类尖峰孤子解；借助双曲函数与三角函数间的变换关系得到了1类尖峰紧孤子解，该型解兼有尖峰孤子解和紧孤子解的特点；在上述结果的基础上构造了2个周期性的尖峰行波解。

The main factors effecting on exploration precision of surface wave are analyzed in the light of calculation of phase velocity of surface wave; the merits and demetits of common computing methods for phase velocity between stations and their applied range are discussed and calculation of interstation Green's function for correcting phase is put forward to get the precise phase difference between two stations.

分析了影响面波勘探精度的主要因素，针对计算面波相速度的精度问题，讨论了常用测量台间面波相速度方法的优缺点及其适用范围，并提出通过测量台间格林函数进行相位校正，以得到两台之间的精确相位。

According to the meteyard of edge detection and consulting the design-aim of optimal edge-filter, this paper discussed the general rules of selecting the mother function of wavelet used in edge detection, then constructed a quadric B-spline wavelet and presented a method of adaptive thresholds edge detection for image based on wavelet transform.

根据边缘检测的评价标准，参照最佳边缘滤波器的设计要求，确定选择用于边缘检测的小波母函数的一般准则，并在此基础上构造出二次B样条小波，提出了基于小波变换的自适应阈值图像边缘检测的新方法。

Through Hilbert transform, a signal's plane trace can be get. There are two frequencies in the tested signal, so the signal's plane trace may be looked as the track of the out pole's end when two poles rotate around parallel axles. Using the knowledge of motion synthesis in theory mechanics, a formula to describing the change of plane trace's step length and angle for two-frequency be get. So we may prolongate the tested signal's plane trace from the echo's initial arriving moment, and get a certain length of the signal's prolongation.

通过Hilbert变换可得到测试信号的平面迹线，测试信号中只含有两个频率成分，视为双频信号，双频信号的平面迹线相当于两连杆绕平行轴转动时外杆杆端迹线，利用理论力学中运动合成和瞬心知识，推导出双频信号平面迹线步长平方满足余弦线性复合函数，而迹线转角可视为线性变化，据此可对回波到来之前的测试信号平面迹线作延长，得到一定长度的信号延展段，信号延展段与实测段作差可得到一次、二次回波的第一个波峰值。

Teleseismic conversion and multiple waves recorded by the INDEPTH-Ⅲ seismic array have been used to investigate the crustal thickness and V/V ratios of the central Qinghai-Xizang Plateau.

对INDEPTH-Ⅲ台站的接收函数进行扫描，利用Moho界面产生的转换波和多次波的走时信息，估计台站下方的地壳平均波速比V/V和地壳厚度。

Teleseismic conversion and multiple waves recorded by the INDEPTHⅢ seismic array have been used to investigate the crustal thickness and VP/VS ratios of the central Qinghai_Xizang Plateau.

对INDEPTHⅢ台站的接收函数进行扫描，利用Moho界面产生的转换波和多次波的走时信息，估计台站下方的地壳平均波速比VP/VS和地壳厚度。

Wavelet transform is Mallat algorithm in substance but a key point of Mallat algorithm is that wavelet's filter is convolved with function, so the calculation of coefficients of impulse response of filter of wavelet is very importment for Mallat algorithm.

在信号和图象处理中小波变换的实质是Mallat算法，而Mallat算法中其基点是小波所对应的滤波器和原函数作卷积，因此小波所对应的滤波器的冲激响应系数的计算对Mallat算法的实现具有现实的意义。

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。

A stochastic model with initial stochastic conditions and stochastic coefficients for surge calculation was developed for the typical hydraulic system of a surge tank .

针对典型调压室水力系统，建立了具有随机初始条件和随机系数的涌波分析随机模型，从数学上严格证明了调压室涌波随机模型存在唯一的均方解，并进一步利用Liouville定理求解了其解过程的联合概率密度函数，最后给出了调压室涌波的均值解曲线

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。