级数的和

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

This approach is based on time-varying Fourier coefficient series of the system variables.

该方法通过忽略系统状态变量所对应的傅里叶级数中那些不重要的项而对原系统进行简化，并且可以有效地将系统中的连续事件和离散开关事件结合起来。

Based on the energy method and Fourier series expansion the general expression of cogging torque was obtained and the harmonic components of cogging torques were analyzed under both ideal and non-ideal conditions.

针对永磁电机中非理想因素对齿槽转矩的影响，基于能量法和傅里叶级数解析方法给出了齿槽转矩的一般表达形式，并分析了理想及非理想条件下齿槽转矩的谐波成分。

Course Content:The main part of this course is about infinitesimal calculus and ordinary differential equations,including :functions and limits,derivative and differential integral and their application,differential methods of function of several variables and its application,heavy integral,curve integral,camber integral,infinite progression and differential equations.

课程内容：学科教学法与CAI研究与实践是师范计算机专业教学系统的重要组成部分，学科教学法与CAI研究与实践课程是计算机科学教育的主要内容。通过本课程的学习使学生掌握现代学科教学法与CAI研究与实践的基本概念，基本原理和基本方法；能设计并使用所学的教学理论进行中学信息技术课程的教学设计，试讲，试教。课程内容：以微积分学和常微分方程为主干，介绍函数与极限，导数与微分，中值定理。不定积分，定积分及其应用，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数及微分方程等。

BEIJING, Aug. 25 -- China's draft recycling law has abandoned a progression price markup system on household use of water, electricity and gas because of its impracticality.

北京，8月25日——中国循环经济法草案已经抛弃了在居民对水、电和能源的使用中的按级数涨价的系统，因为它具有伤害性。

By using the conformal mapping technique and the Laurent series expansion, a group of equations to predict effective bulk modulus and transverse shear modulus of multiphase fiber composites was obtained.

通过解析函数的保角变换与罗朗级数展开，获得了相应问题的解。根据复合材料平均应力与应变关系，获得了混杂纤维复合材料横向剪切模量和体积模量的预测公式。

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

The method of Fourier series approximation was used for determining the Future Freight rate model as function of time and current spot freight rate. It was shown that it is very flexible and versatile since it can be applied quickly and easily to any main shipping route.

傅立叶级数近似值法被用来确定以时间和当前即期费率构建的函数的远期费率模式，此种方法是非常灵活多变的，因为它可以被快速容易地应用于各个主要航线。

Computer simulations validate the performance of these algorithms. And the model error of low order approximation distributed sources model, spatial frequency distributed sources model and Jocabi-Anger series expansion distributed sources model are discussed.

通过计算机仿真，验证了低阶近似分布源模型方位估计算法的性能，并且研究了分布源的低阶近似模型、空间频率模型和低阶Jacobi-Anger级数展开模型的模型误差。

The gamma function calculation of Pearson type III distribution is investigated,a new approximation method by using cone curve is put forward,and neither numerical integral nor series expansion may be used.

对皮尔逊Ⅲ型分布公式中伽玛函数的计算问题进行了研究，提出了一种新的数值逼近方法，在一定范围内对伽玛函数用圆锥曲线表示，利用递推公式扩大参数范围，免去了数值积分和用级数展开计算的麻烦。

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。