级数解

The solution composed by algebraic polynomial with double sine series is used to satisfy the corner conditions.

另外用代数多项式和双正弦级数组成的解来满足角点条件。

Unfortunately, most of the analytical solution for fractional differential equation are complicated owing to complex series or special functions.

然而大多数分数阶微分方程的解析解含有复杂的级数或特殊函数，不利于近似计算。

Based on the basic elastic equations and series expansion, the paper presents the general solution of antiplane interface end.

利用位移函数的级数展开，对任意角度的反平面问题界面端的应力场进行了分析研究，得到了全场解。

In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series.

考虑椭圆孔内空气介质对电场的作用，用复变函数的Faber级数展开方法，分析了含椭圆孔的压电材料反平面应变问题的耦合场，给出了问题的精确解。

And solutions given by the"exact"infinite series solution are compared with solutions calculated by the approximate formula.

比较了"精确的"无穷级数解法和高频近似解。

Furthermore, the problem of coupled piezothermoelastic response of a piezoelectric cylinder of crystal class 6mm is investigated. Analytical solutions for this problem are successfully obtained by using Bessel-Fourier series expansion and Laplace transform. These solutions are helpful for study of the influence of coupling on the distribution of stresses, displacements, electric potential and other quantities as well as the role of inertia term.

研究了热电材料圆柱的瞬态压电热弹性响应问题，应用Bessel-Fourier级数展开和拉氏变换方法成功地求得了该问题的解析解，此解有助于研究瞬态响应问题中耦合效应对应力、位移和电势等物理量分布的影响以及惯性项的作用等问题。

And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy

首先展示了有关约化密度矩阵主方程的形式和解的形式；接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解；最后从累积量，延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。

To evaluate the precision of solutions obtained by modal series method, normal form method and linear modal method, an error index describing the approximation to the nonlinear simulation is defined and then applied to the same system.

为比较模态级数法、正规形法和线性模式分析法所得解对时域仿真解的逼近程度，定义一误差指标，并在4机2区系统中做相关分析。

In general the precise calculating method of stability check of the slightness hydraulic cylinder is an outdo equation.

利用台劳级数，把液压缸稳定性校核精确解超越方程的各项在较为理想的点展开，去掉其高阶项，仅保留一次项，得到方程的近似解，并证明其安全性。

Kinetics of thermal degradation of polybutylene terephthalate was investigated using the method of gravimetric analysis.

用热重分析法探讨聚对苯二甲酸丁二醇酯热降解的动力学，揭示了PBT的热稳定性、热解反应级数和热解活化能。

He knows that he's one of the mostdominant players in the NBA right now.

我知道他现在是联盟里最有统治力的球员之一了。

Using analysis method of BCG , the dissertation analyzed the management of voluntary service organizations .

利用BCG分析方法对我国的志愿服务组织管理进行了分析。