级数的

A new method based on the Fourier-Bessel series is proposed to calculate the higher-order harmonic components of a nonlinear ultrasound field in absorbing medium and an analytical solution of a series form is obtained. A closed analytical solution of the higher-order harmonics in the zeroth-order Bessel ultrasound field and the focused Gaussian ultrasound field is deduced to study the field property, especially the near-field property.

提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。

Where ,is the coefficients of power series .The radius of convergence is given by

其中，是幂级数的相邻两项的系数，则这幂级数的收敛半径为

The deflection of plate is trigonometric series as follows:∞∞ mπx nπy w=∑∑ A m =1 n =1 mn sin a sin b It is obvious, every term of this series is satisfied with the boundary conditions of quadrilateral simply supported.

取板的挠度为如下重三角级数∞∞ mπx nπy w=∑∑ A m =1 n =1 mn sin a sin b 显然，该级数的每一项都满足四边简支的边界条件。

With induction of precision order, the growth of Dirichlet series of rearrangement of the coefficients is investigated.

研究了狄里克莱级数引入精确级后系数经过重排的增长性，得到了有限级狄里克莱级数的系数经过重排后级和型保持不变的充要条件。

In chapter 3,we focus our re-search on the property of random Dirichlet series converging only in the righthalf-plane,and come to the precise result in the aspect of the Borel point'sdistribution of random Dirichlet series of infinite order.

第三章给出了只在右半平面上收敛的随机Dirichlet级数的一些性质。关于无穷级随机Dirichlet级数在虚轴上的Borel点分布情况，取得了精确的结果。

In Chapter 4, using Newton series, we obtain a divided differences formula of composite functions, and give a matrix equivalent form of these composite functions. Moreover, we derive a divided differences for the reciprocal series.

第四章利用形式Newton级数得到了复合函数的差商公式，并给出复合函数的一个矩阵等价形式，从而得到一个反级数的差商公式。

Then we extend a lemma of Paley-Zygmund to-Zygmund to the cases of non-equally distributed and study the value distribution of more general random Dirichlet series with this lemma.

通常随机级数研究的是同分布随机变量序列，这里通过推广Paley-Zygmund引理，把随机级数的研究引向一般得多的不要求同分布的情况。

Of the series and several columns do not understand please see this article: Series and the concept of a1, a1q, a1q2, a1q3 ...., called the common ratio for the q of the geometric sequence.

对级数和数列不了解的请先看这篇文章：数列与级数的概念a1， a1q， a1q2， a1q3。。。。，称为公比为q的等比数列。

We are concerned with this problem. By combining with the methods of Theta functions and Lambert series, we compute some reciprocal series related to generalized Fibonacci and Lucas numbers.

在本章第二节中，我们将Lambert级数法与Theta函数法结合起来，计算出一些与广义Fibonacci，Lucas数的倒数有关的级数的近似值。

The contribution of the truncated modes to eigenvector sensitivity is expressed in a Neumann series of matrix in this method, and eigenvalue's displacement is introduced to control the convergence of the series.

该方法是用Neumann矩阵级数的形式来等效未知模态对特征向量灵敏度的贡献，并引入特征值移位量来控制矩阵级数的收敛性，从而明显地提高了计算效率。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。