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级数展开

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Plentiful and substantial achievements have been made, which motivate a lot of methods to obtain the exact solutions of solitary wave equations, such as: the homogeneous balance method, the hyperbolic function method, the power series method, besides the traditional methods, such as: the inverse scatting method, the bilinear Hirota method, and the Backlund transformation method etc.

求解孤立波方程精确解的方法除了传统的反散射方法、Hirota双线性方法、Backlünd变换方法外,近年来又涌现了很多新方法,如齐次平衡法、双曲正切法,级数展开法等。

The reconstruction algorithm of temperature field based on series expansion is given. The linear equation of weights matrix, image matrix, and projection matrix is established.

提出基于级数展开法的温度场重建,建立权因子矩阵、图像矩阵和投影矩阵之间的线性方程。

Utilizing Sylvester's theorem and Fourier series expansion method, commonly used in the spectral decomposition for matrix, the frequency response functions of parametrically excited system were derived theoretically and the external resonance condition was obtained.

采用矩阵谱分解中常用的Sylvester理论和Fourier级数展开法,推导了单自由度参数振动系统的频响函数,并得到了系统外激励共振条件。

In analyzing the divider design Taylor series expansion algorithm based on a new design algorithm divider.

在分析除法器设计的泰勒级数展开算法基础上,提出了一种新的除法器设计算法。

Analysis of Z-scan by series expansion .

利用级数展开的Z扫描理论分析。

By the research of the RLC series circuit, RLC Parallel circuit, and the starat of Fourier Series, get the further understanding and grasp the characteristics of the resonant of RLC circuit. Even more, on the basis of the RLC series resonance, the other circuit structures selected frequency wave frequency analysis of the election.

本实验通过对RLC串联电路、并联电路及方波的傅立叶级数展开的实验现象的测量及研究,进一步了解和掌握RLC谐振电路的特点,并在RLC串联谐振的基础上,搭建选频电路对方波进行选频分析。

A grating function and a groove function are introduced to determine the structure of a concave grating. Basic ideas for the design of a flat-field concave grating with three stigmatic points are proposed. As a proof of the usefulness of these design approaches, image conditions of the grating with three stigmatic points are developed which concise with other published results and they are more general than those obtained from holographic gratings.

采用与分析三维光栅相类似的级数展开法给出了二维集成凹面光栅的球差、彗差的计算方法,计算中用光栅函数和槽面函数来描述具有任意形状和任意变化周期的光栅,提出了一种具有三个无像差点的平面场型凹面光栅的设计方法,利用该方法推导了三点无像差光栅的成像条件,与文献中用其它方法获得的结果相一致,该结果与全息光栅的成像条件相比,更具一般性。

And then this paper uses the Taylor series expansion to correct the probe positioning error in antenna near-field measurement.

根据平面波谱理论,推导了平面扫描位置误差对远场的影响,给出了位置误差上界的数学表达式,并用泰勒级数展开法对其进行了修正。

Then by means of Taylor series expansion and interval calculation,we can obtain the interval ranges of stress intensity factors.

该方法以区间数学为基础,将不确定参数描述为区间变量;再利用Taylor 级数展开通过区间运算得到应力强度因子的区间范围,从而为工程设计提供可信的数据。

Generalized arraymanifold uses one order Taylor series expansion and is called one order approximation distributed sources model here.

广义阵列流型利用了一阶Taylor级数展开,这里称之为一阶近似分布源模型。

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