series expansion

By Fourier series expansion of lightning current waveform in time-varying field, analytical formulations in frequency domain are derived.

通过对时变场中瞬态的雷电流波形进行傅里叶级数展开和周期延拓，得到了频域中的雷电电磁场的解析公式。

The expansion in U-series has advantageous properties for approximations in both quadratic norm and uniform, and it can be realized to express a group of parametric curves which are piecewise k-degree polynomials in a number of finite terms of U-series.

该系统下的U级数展开式具有良好的平方逼近及一致逼近性质，而且能用有限项U级数实现对分段k次多项式参数曲线图组的精确表达；

Three dimensional beam propagation method based on the series expansion method ( 3D SEM BPM) transform the BPM into the first order normal differential equations. The method has the merits of simple calculation and high calculation efficiency.

三维级数展开的光束传播法（3D SEM BPM）将BPM方程转化为一阶常微分方程组，具有计算方法简单和计算效率高的优点。

Fourier series expansion plans with a strict mathematical sense of beauty, from an artistic point of view, these graphics have the symmetry rules, and rhythmically repeated.

傅里叶级数展开图具有严格的数理美感，从艺术角度看，这些图形具有对称规律，并且有节奏地反复出现。

Definition of hyperbolic sine and hyperbolic cosine by a series of expansion powers

双曲正弦和双曲余弦的幂级数定义

The directional coupler based on the GaAs/ GaAlAs optical strip waveguide is analyzed using three dimensional beam propagation method based on the series expansion method ( 3D SEM BPM).

运用基于级数展开法（SEM）的三维光束传播法（3D SEM BPM）分析了由GaAs/GaAlAs条形光波导构成的定向耦合器。

Taylor Series Expansion Based N-1 Fast Power Flow Revision Calculation Using Newton-Raphson Method

基于泰勒级数展开的N-1牛顿拉夫逊法快速潮流修正计算

This paper also proposed a method of computing the probability distribution of fault critical clearing time using Gram-Charlier expansion series.

考虑母线负荷的不确定性时，提出了一种根据Gram-Charlier级数展开式计算故障临界切除时间概率分布的计算方法。

The explicit method for calculating surges in throttled surge tank and simple tank following load rejection has been derived by use of Thaler Series Expansion from the basic formulation of surge tank.

本文从调压室的基本微分方程出发，采用泰勒级数展开式推导了阻抗式和简单式调压室甩荷时水位波动的显式计算方法。

On this basis, research the model series expansion method of the air tightness detection equipment on the base of module matrix.

在此基础上研究了基于模块矩阵的气密性检测设备模型系列化扩展的方法。

In the constant development and expansion, formed a diversified product mix, the series features.

在不断的发展壮大中, 产品结构形成了多样化 、 系列化的特点.

Strict error analysis is carried out for two kinds of backward recursive algorithm, series expansion and continued fraction approximation, of incomplete Gamma function Fm ( x).

对不完全Gamma函数F m（x）两种向后递推算法（级数展开和连分式逼近）进行了严格的误差分析。

At first, for nonlinear assembly function, the implicit differentiation and multi-variables Tayler Series Expansion are used to obtain the linear relationship between input and output.

首先，对于非线性隐式模型，采用隐式求导和一阶泰勒级数展开得到确定性定位分析模型的输入输出间线性关系。

Complex function method, multi-polar coordinate and Fourier series expansion technology are used here to study scattering of fixed half circular inclusion located at horizontal boundary of a right-angular planar space to steady incident planar SH-wave.

利用复变函数法、多极坐标及傅里叶级数展开技术求解了二维直角平面介质边界固定半圆形夹杂对稳态入射平面SH波的散射问题。

Nodes positioning technology based on Taylor series expansion in Ad Hoc network

无线ad hoc网络基于泰勒级数展开的节点定位技术

In the work, an one order approximant for the mapping between the pressure and the specific volume in two phase regime was presented by Taylor series expansion.

本文通过引入两相流区压力和比容之间的一阶近似式，获得该问题的一阶近似积分解。

Well function and its series expansion

井函数及其级数展开

The book is an expansion of a series of lectures given last year.

本书是去年举行的系列讲座的扩充。

Statistical theory of type I antiferromagnetism and ab alloy superlattice on a face centered cubic lattice-a series expansion method

面心立方点阵上Ising自旋1/2系统反铁磁性和AB合金超点阵的统计理论&配分函数的级数展开法

Based on the Taylor series expansion, the formulas is obtained by the character of the Vandermonde determinant.

此公式是以泰勒展开式为基础利用范德蒙行列式性质而得到的。

Further , by double FOURIER series expansion and intricate derivation, strict output analytic solution is acquired.

针对模型, 通过双FOURIER级数展开和繁琐的数学推导, 求得了输出电压的严格解析表达式.

Based on the theory of modal superposition and power series expansion, a modal superposition method for the sensitivity analysis of FRF is proposed in this paper.

基于模态展开和幂级数展开原理，提出了一种频响函数灵敏度分析的模态展开法。

KBM asymptotic series expansion solution to nonlinear autonomous circuit

非线性自治电路的KBM渐近级数展开法

An Power Series Expansion Method of Retarded Potential

推迟势幂级数展开的正确方法

To solve axially symmetrical electrostatic field, the method of cylindrical function expansion is presented. The series expansion for the potential distribution in whole space with the potential distribution on the symmetric axis is derived, some examples are given.

提出了求解轴对称静电场的柱函数展开法，推导出用对称轴上的电势分布表示空间电势分布的级数展开式，并给出了求解轴对称静电场的例子。