级数的和

In 2D eddy current field computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by the GMT, and solves several real engineering examples of 2D eddy current field boundary-value problems by the MT.

本文从电磁理论和有关数学定理出发，通过引入内极、外极、内交角的概念，建立一种新的电磁场计算体系——电磁场分析中的多极理论；从理论上证明，在电磁场分析中存在一种无穷级数收敛，且有一定普遍性的解析解。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，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，微分方程。

Based on dynamic equilibrium equations of three-dimensional elasticity, a state equation was established for orthotropic foundation plates using double Fourier series, in which no assumption about stress or displacement modes was made. Analytical solutions and frequency equations of unified formulas were presented for thin and thick laminated foundation plates.

从三维弹性力学动力平衡方程入手，抛弃应力或位移模式的人为假定，利用Fourier双重级数，建立了正交各向异性地基板的状态方程，并分别给出了地基上任意层厚薄板静力问题的统一解析式和动力问题的频率方程。

Neumann series expansion in Monte-Carlo finite element is used to find the stress of fiber winded composite structures with stochastic factor; Structure reliability formula are then given by Monte-Carlo comparison method and Tsai-Hill failure criteria.

将纽曼级数展开的蒙特卡罗随机有限元应用于具有随机因素的纤维缠绕结构的应力求解；然后利用蒙特卡罗直接比较法和蔡希尔失效判据给出该结构的可靠性算式。

Beginning with a general mean function, the model analyzes the distance between the arithmetic average and geometric average by Taylor's expanding.

第二章介绍了亚式期权定价研究中的市场结构、一般原理和若干重要的定价方法：PDE偏微分方程法；埃级沃斯级数展开近似定价；倒数分布近似定价；条件期望近似定价；执行价格调整近似定价，这些方法使亚式期权的定价得到了很大的发展。

Increasingly, polyphony and harmony were seen as two sides of the same idea, with harmonic progression entering the notion of composing, as well as the use of the tritone as a dissonance.

复调和和声逐渐被认为是同一个概念的两个方面，随着和声级数进入到作曲记谱的概念中，以及作为不和谐音的三全音的运用。

The effect of parameters such as the wedge angle, the incident wavefrequency and the angle of incidence is also analyzed. Furthermore, theaccuracies of the numerical results are checked by the convergence of theground surface displacement and residual errors of boundary conditionswith the increasing progression term.

本文定性分析了地形角度、入射角度和入射频率等因素的影响，并从级数项数增加时地表位移结果的收敛以及边界条件残量的收敛两个方面验证了结果的正确性。

It is only by assuming an infinitely small magnitude, and a progression rising from it up to a tenth, and taking the sum of that geometrical progression, that we can arrive at the solution of the problem.

只有假设出无穷小数和由无穷小数产生的十分之一以下的级数，再求出这一几何级数的总量，我们才能得出问题的答案。

Its characteristic is through impulse stimulation by using the grating width, diffraction series, laser wavelength, and the Doppler frequency shift to determine the shock velocity and the shock acceleration instantaneous value.

对差动式光栅激光干涉冲击校准装置的原理作了介绍，特点是使用冲击激励，通过光栅的栅距、衍射级数、激光波长及激光的多普勒频移来最终确定冲击速度和加速度的瞬时值。

By this method, the vibration solution can be obtained in the form of power series and the iterative computation is not needed.

本文首次将幂级数求解变系数微分方程的方法引入齿轮振动方程的求解中，从而不需要将齿轮变啮合刚度分段常数化和反复迭代求解，就可以求出齿轮的振动微分方程的解。

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。