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- Perturbation series expansion 微扰级数
- As yet, a variety of approaches, such as the perturbation method, power series expansion, angular spectrum representation and integral solution of the wave equation etc. have been proposed to treat the beam propagation behavior beyond the paraxial regime. 迄今已提出许多方法 ,例如微扰法、级数展开法、算子法、角谱分析法和波动方程积分解等方法 ,用以研究光束的非傍轴传输行为。
- Energy Level analysisUsing the Taylor series expansion method, the energy Levels of Nd and Er chelates were analyzed. 利用泰勒展开法,对Nd和Er配合物能级进行了分析。
- 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。
- Analytic solutions of post-Newton metric component were got by series expansion in oblate ellipsoid coordinate system. 对由后牛顿效应产生的度规分量利用椭球坐标系及级数展开求得解析解。
- Different score-spaces have their own physical meanings inspired by Taylor series expansion. 并从泰勒级数展开式的角度论述了各类品质向量的物理意义的不同,最后通过实验验证了扩展品质空间有利于分类性能的改善。
- The predictive model is acquired by truncating appropriately the Taylor series expansion for system state. 其预测模型通过对系统状态泰勒级数展开并做适当的截尾处理获得。
- Kong Kim algorithm and the algorithm of iterative least square fitting based on the first order Taylor series expansion are good ones. 其中 Kong- Kim算法和基于一阶泰勒级数展开式的迭代最小二乘算法是两种非常优秀的算法 .
- A Taylor series expansion of the transfer function yields the number of paths of a given length between the source and the destination. 传输方程的泰勒级数展开可显示信源和终点间所存在的给定长度的路径数。
- 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。
- Vectorial eigenmodes supported by the buried rectangular and rib optical waveguides are obtained using variable transformed series expansion method. 基于变量变换级数展开法,获得了掩埋矩形光波导及脊形光波导的矢量本征模及其传播常数。
- The first order Taylor series expansion replaces the non-linear equation used in solving this plane, and thus simplifies the algorithm. 通过求解由一阶泰勒展开式得到的线性方程组,避免了为求解此平面而求解非线性方程组最小二乘解的过程,使算法简化。
- The bivariable Taylor series expansion of series structural systems reliability is presented and numerical method deal with infinite integnal in the expansion is developed. 本文给出串联结构体系可靠度的二元泰勒级数展开表达式,并给出有关一维无穷积分的数值解法。
- On analyzing the mathematical law followed by low-frequency oscillation,a recursive equation is put forward and then simplified with Taylor series expansion. 该算法运用了非线性回归法,首先分析了低频振荡波形遵循的数学规律,提出合适的回归方程,并通过泰勒展开法,将该回归方程进行简化,再等间隔抽取N个采集点进行回归计算,求出回归方程系数,减少了运算量;
- Taylor series expansion techniques are used to trace both the fault-on trajectory and the accelerating power of the post-fault system along the fault-on trajectory. 在PEBS法临界切除能量的求取过程中,用高阶Taylor级数展开模拟持续故障轨迹和进行加速功率的求取。
- This paper presents a new division algorithm based on the Taylor series expansion,which requires two multiplication operations and a single small lookup table. 介绍了一种新的除法算法,该算法是利用Taylor展开公式的近似,采用两次乘法操作和一张较小的查找表。
- Then we analyze hyperbolic equations solving algorithms and deduceassociated algorithm of Taylor series expansion and Least-Lquares estimation,stimulate the algorithm. 然后分析了双曲线定位方程的求解算法,推导了泰勒级数展开结合最小二乘估计联合求解算法,并对算法性能进行了仿真;
- 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。
- A general solution and the stress intensity factor are obtained in term of series expansion, which satisfies both Laplace equation and the permeable boundary condition. 得到了用级数表示的满足控制拉普拉斯方程和可导通边界条件的基本解及应力强度因子。
- By using the Fourier series expansion, approximate analytical propagation equations of laser beams through a paraxial optical ABCD system with different apertures are derived. 用傅立叶级数展开法研究光束通过有光阑限制的近轴ABCD光学系统的传输特性,导出了光阑透射率函数不同时的传输公式。