级数的

As the center or the Algebra subalgebra of a algebra plays an important role in reducing the number of state variables, the cartan subalgebra is a maximum Abelian subalgebra of an algebra, so it can be a powerful tool for the structure simplification of control systems.

由于代数的中心，或交换子代数在系统的变量降低方面具有重要作用，而Cartan子代数是李代数的极大交换子代数，因而它能成为简化系统结构的有力工具，第二部分利用向量场的积分曲线所定义的映射，构造出一个S—坐标，在该坐标下任一向量场都有一个标准的表示方法，一种无穷级数表示方法。

The principles and steps of the methods were introduced, the sixth grade track ire-gularity PSD of U.S. railway samples in time domain were achieved by simulating trigonometric series respectively, the samples were taken as the inputting disturbances of a vehicle-track vertical dynamics model, the time response courses of vehicle system we- re obtained by numerical simulation.

介绍了国内外常用的轨道不平顺数值模拟方法的模拟原理和步骤，采用计算机仿真程序模拟出三角级数法生成的美国六级轨道不平顺谱时域样本，并以此作为车辆一轨道垂向动力学模型的输入激励，通过数值仿真得出系统的时间响应历程。

The biggest advantage of this mean is that don"t need to computer the perturbation matrix element by using zero level wave function, even don"t need to give out high rank amendatory result using infinite series to sum like the ordinary perturbation theory. Thus, it not only avoids many complicated integral operation, but also obtains high rank amendatory result that it is very difficult to get or cant get.

这种方法最大的优点就是不需要用零级波函数来计算微扰矩阵元，更不需要像普通微扰论那样用无穷级数求和给出高阶修正的结果，这样一来，不仅避免了许多繁复的积分运算，而且求得了普通微扰论很难得到或不可能得到的高阶修正的结果。

By means of the Fourier series expansion, an approximate analytical propagation equation of flattened Gaussian beams passing through an apertured paraxial ABCD optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is T = cos.

用傅立叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性，导出了光阑透射率为T=cos时的近似解析传输公式，硬边光阑的情况可作为Ω=0的特例得到。

By means of the Fourier series expansion,an app roximate analytical propagation equation of flattened Gaussian beams passi ng through an apertured paraxial ABCD optical system is derived,and illustr ated with numerical examples,when the transmissivity of the aperture is T=cos.

用傅里叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性，导出了光阑透射率为T =cos时的近似解析传输公式，硬边光阑的情况可作为Ω=0的特例得到。

Under certain experimental conditions,the Terbiumbasic Calbonate can be dissolved in aqueous solution of nicotinic acid to yield an Orange Tb Complex, which has a broad characteristic absorption band between, 370—410 nm The autoreduction of the Tb—Complex was studied by means of spectrophotometric method, It was determined by experiments that the reaction order is equal to two and the apparent activation energy of the auto—reduction is equal to 68.4±0,8KJ/mol.

在一定条件下，Tb的碱式碳酸盐可以溶解在烟酸的水溶液中形成橙黄色的络合物，该络合物在390nm波长附近有一宽带特征吸收峰。消光值在0。～1.0范围內与Tb的浓度具有直线关系。分光光度法对Tb自还原反应研究确定：于15℃及烟酸浓度为0.35M时，当pH值小于6.0条件下，随pH值的增加，其自还原速度常数减小，该自还原反应级数为二，反应活化能为68.4±0.8KJ/mo1。

Firstly, a new design method of cam profile has been developed by using finite terms of Fourier Series in the cycle of cam angle as the basic equation of cam profile, so the difficulty of base circle wave existing in the method of resonant cam design can be eliminated. On the other hand, the method proceeds from the acceleration of cam profile, which makes the acceleration not only smooth and continuous, but also easy to be controlled, and the cam profile with good performance can easily be acquired.

此方法用以凸轮包角为周期的富立叶级数有限项作为凸轮型线的基函数，可以免去谐波凸轮设计时控制基圆波动的困难；此方法又是从凸轮型线的加速度曲线入手进行设计，使型线加速度不但光滑、连续，而且形状容易控制，便于设计出动力性能优良的凸轮型线。

In this paper, the method of using Volterra series expansion to analyze the linearity of high frequency CMOS transconductance stage with source degeneration resistor is provided. In order to reduce the complexity of the analysis, the transconductance stage is treated as cascade connection of two nonlinear systems. The IIP3 (input referred third-order intercept point) of the transconductance stage is calculated.

将Volterra级数用于分析工作于高频，含有源级负反馈电阻的CMOS跨导级的线性度，为了降低计算的复杂性，将CMOS跨导视为两个非线性子系统的级联，计算了跨导的IIP3。

This paper proposes a new-style equivalent source method,in which the number and position of all the ES can be determined and the field distribution in all subregions expressed as series form.

提出一种新型等效源法，该法中等效源的位置和个数可给以确定，由它产生的场分布可用级数表示，该方法克服了以前等效源的位置和个数只能凭经验决定的缺点，而成为一种科学的计算方法。

The vapour-liquid equilibrium composition on the various plates and the theoretical plate number of the plate tower, reaction volume of multistage continuous stir reactor and the theoretical stage number of multistage extraction can be calculated by this method.

介绍了Excel中填充柄的特点，并对其在板式精馏塔各块塔板上的汽-液平衡组成与理论板数、串联全混流反应器的反应体积和多级萃取的理论级数应用中给出了详细的操作步骤和计算实例。

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。