级数的

According to the theory created for the generalized multi-pole technique (in domain of half-analytical method), the center of each circle is determined as a starting point of each variable in a series expansion of the 2D-field solution function, and the arranging blank of the starting points in the generalized multi-pole technique can be filled up owing to the precise variable positioning.

根据为广义多极技术创建的理论体系，这些极点确定了解函数在级数展开式中各变量的起点。正因为这些变量的准确定位，不仅克服了广义多极技术中极，点位置设置的盲目性，而且提高了解的计算效率和计算精度。

One of the many consequences of the exponential power-versus-time curve in computing, and the corresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months.

在计算领域成级数方式增长的能量vs时间曲线，以及相应的软件开发的进步，带来的影响之一就是一个人的知识每18个月就被淘汰掉50％。

One of the many consequences of the exponential power-versus-time curve in computing, and thecorresponding pace of software development, is that 50% of what one knows becomes obsolete over every 18 months.

在计算领域成级数方式增长的能量vs时间曲线，以及相应的软件开发的进步，带来的影响之一就是一个人的知识每18个月就被淘汰掉50％。

This paper provides the analytic method to calculate the value of Green s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

This paper provides the analytic method to calculate the value of Green"s functions in space domain at the zero distance by the discrete complex image theory,that is ,to express the finite progressional sum of Green"s functions detained with DCIT into Taylor expansion and deduce the analytic expression of the singularities at the zero distance with the help of the specific subdomain base functions.

对此，本文在讨论采用离散复镜象理论计算空间域Green函数时，提出了采用该镜象理论计算空间域Green函数零距离处奇异值的解析方法，即，采用Taylor公式展开镜象理论得到的空间域Green函数的有限级数和形式，并结合特定的分域基函数来得到零距离处Green函数奇异值的解析计算式进行计算。

With the idea of finite approximation, we study a new solution method for the satellite altimetry problem. Our result shows that if the continental part of the earth is sphere cap, then the solution of satellite altimetry problem can be transformed into a linear system of equations with variants of the coefficients of spherical harmonic series. We prove that the linear system of equations is separated about the orders of spherical harmonic series.

研究了球界面下卫星测高问题的解法，利用有限逼近方法得到了下列结论：若陆地部分是球冠，则卫星测高问题的解可以转换成关于球谐级数位系数的线性方程组，并且位系数的阶和次是以分离形式出现的，从而确保该解法具有实用意义。

Hilbet-type inequality is important in analysis and its applications. In recent years, by improving the way of weight coefficient, some research on the extensions and applications of this type of inequalities are developed. In this paper, we give a Hilbert infinite series inequality with the best constant factor whose kernel is a negative quadratic form by applying the method of weight coefficients. And an equivalent form is considered.

Hilbert型不等式在分析中有重要作用，近年来，由于改进权系数的方法，发展了这类不等式，并进一步推广应用和研究，应用权系数方法给出的一个带有最佳常数的核为负二次型齐次的Hibert型无穷级数不等式，同时考虑了它的等价形式。

By improving the chemical reaction between Potassium Iodide and Hydrogen Peroxide, using initial velocity and activation energy calculation, this paper proposes and discusses the reaction mechanism in the reaction.

通过改进碘化钾与过氧化氢的反应实验，用初速度的方法，通过活化能的计算，讨论提出的反应机理，确定反应级数和催化反应与非催化反应的速度常数。

The degree of system stress can be increased by changing the fault duration. It is found that as the system stress increases, the error index and its growing speed of modal series method are the smallest, and that of normal form method take second place.

通过延长故障的持续时间来改变系统的非线性程度，发现随着系统非线性的增强，模态级数法的误差及其增加速度都是最小的，正规形法次之。

The result for an aluminum sphere with gaussian pulse incident wave was compared to the theor y value obtained by inverse Fourier transform from the product of Rayleigh serie s with incident wave in the frequency domain, which shows a good agreement.

计算了高斯形脉冲入射下弹性铝球的无量纲反向散射声压，并和由频域的Rayleigh 简正级数解与入射波的频谱的乘积作反变换得到的精确解做了比较，两者趋势基本一致。

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。