级数的和

The standard cell potential of each condition and the activity coefficients of KI in the mixed solvent were obtained by associating the experimental values using power series expansion method, the extended Debye-Hückel equation and the Pitzer equation.

用电动势法测定了KI在甲醇含量为0%、20%、60%、100%的甲醉－水混合溶剂中的电动势，用幂级数展开方法、扩展的Debye-Hückel方程及Pitzer方程关联不同溶剂组成下电动势的实验值，得到电池的标准电动势Eo和KI在混合溶剂中的活度系数。

By use of first-order linear expansion of Taylor series, the linearization process of both nonlinear constraints and objective function of long-term optimal scheduling model are performed and an optimal scheduling model based on seccessive linear programming is built; an approach to solve Optimal scheduling of cascade hydropower station problem by seccessive linear programming is put forward, the scale-down factor of iteration step length is used to ensure that the algorithm can converge to the optimal solution of optimization problem quickly and accurately.

通过采用泰勒级数一阶描述形式，对优化调度目标函数和约束条件中的非线性约束进行线性化处理，建立了基于连续线性规划算法的优化调度数学模型，提出了用连续线性规划技术求解梯级水电站优化调度问题的算法，并采用迭代步长的动态比例缩减因子保证算法能快速准确地收敛到优化问题的最优解。

By the research of the RLC series circuit, RLC Parallel circuit, and the starat of Fourier Series, get the further understanding and grasp the characteristics of the resonant of RLC circuit. Even more, on the basis of the RLC series resonance, the other circuit structures selected frequency wave frequency analysis of the election.

本实验通过对RLC串联电路、并联电路及方波的傅立叶级数展开的实验现象的测量及研究，进一步了解和掌握RLC谐振电路的特点，并在RLC串联谐振的基础上，搭建选频电路对方波进行选频分析。

On the basis of analyzing the principles of interleaver filters of the interference of polarized light and planar lightwave circuit-type lattice structure, the equivalent mathematical representation of the spectral transmittance of the two kinds of interlearers is revealed. The equivalent relationships of the structural parameters of them are given.

在分析比较双折射晶体偏振光干涉型和平面波导环形格子结构型光交错复用滤波器原理的基础上，揭示了两者在光谱透射率的数学上的等效性，给出了两者结构参量之间的等效关系，可以直接利用经简单傅里叶级数对比法获得的晶体的结构参量对平面波导环形格子结构型光交错复用滤波器进行结构设计。

Based on orthogonal function unfolding theory, the transverse fields can be represented as a superposition of waveguide modes. And according to coupled-wave theory, the time-dependent multi-mode coupling-wave equations (or the generalized telegrapher's equations) and the coupling coefficients among the different modes were deduced. The generalized telegrapher's equations are a set of coupled one-dimensional partial differential equations for the amplitudes of the modes.

应用正交函数的展开理论，将变截面波导中的电磁场表示为横电波和横磁波本征模式的级数；然后根据耦合波理论，推导了考虑波导金属壁有限电导率的变截面波导时域多模耦合波方程组及各模式间耦合系数的表达式。

Chapter 6 is contributed to studying the convergence properties of pariwise NQD random sequences. We extend the Kolomogrov-type inequality, Baum and Katz complete convergence, the three series theorem, Marcinkiewicz strong law of large number and Jamison theorem.

第六章研究两两NQD列的收敛性质，首先给出两两NQD列的Kolmogorov型不等式，进而讨论它的若干收敛性质，获得了与独立情形一样的Baum和Katz完全收敛定理；几乎达到独立情形著名的Marcinkiewicz强大数定律，三级数定理，推广了著名的Jamison定理。

The trigonometric series model based on the grade inputs of standard surface and the road surface random spectral excitations of autoregressive model based on engineering data were calculated under the normal distribution, the uniform distribution and the congruence white noise input.

在正态分布、均匀分布和同余法产生的零均值白噪声的输入下，计算了基于标准路面等级输入的三角级数模型，以及基于实测数据的自回归模型的路面随机谱激励。

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。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法

The construction of the solution space for shallow-water equations on the equatorialβ?plane and the equations about the tropical circulation to heating are mainly studied. The solution method of exact solution in the analytic function class and the computational procedure to the series solution are expressed for the well-posed problem.

平面近似的浅水方程组和热源强迫的热带环流方程组，重点研究了它们的解空间构造，并给出了各种适定的定解问题在解析函数类空间中准确解的具体的求解方法，并编制程序去计算其级数解。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。