The solution uses eigen-solutions of nD Hamilton dual system.
采用哈密顿型的本征解展开法求解之。
The eigen function of self-reproductive mode in laser resonator is derived.
导出激光谐振腔自再现模的波型函数。
As network input, the fault feature is enhanced by eigen-function in modeling.
在建模过程中，利用特征函数强化故障特征作为网络输入。
The physical system equations can be developed and the eigen solution obtained.
可以推导出物理系统方程并得到特征解。
The mass-normalized mode shapes were obtained from the eigen-sensitivity analysis.
利用特征灵敏度分析得到质量归一化振型。
It is the focus to get eigen equation of all kinds cross section waveguide in guide wave optics.
求解各类截面波导的本征方程，一直是导波光学研究的焦点问题。
The key problem of eigen-subspace high-resolution methods is estimation of signal or noise subspace.
运用特征子空间类高分辨方法的关键在于信号或噪声子空间的估计。
This article presents an anomaly detection method based on correlation eigen matrix and neural network.
文章描述了一个基于相关特征矩阵和神经网络的异常检测方法。
A direct optimization method is presented in the paper for solving eigen problems of interval matrices.
提出了一种用于对称区间矩阵特征值问题求解的直接优化法。
The change of narrow defect mode under gradual changes of incident Angle is studied by use of eigen matrix.
用特征矩阵法研究了窄带缺陷模在入射角缓慢变化中的变化规律。
Wave attenuation properties of rectangular pontoon breakwater were analyzed with eigen - function expansion.
利用特征函数法对矩形浮箱式防浪堤的消浪性能进行分析。
The method to calculate principal axes of inertia by adjoint matrix of eigen matrix is given, examples are presented.
本文给出了用特征矩阵的伴随矩阵求惯量主轴的代数方法，并通过实例作了说明。
The higher orders were retained as an infinite sum of standing eigen-waves to deal with the fields inside the grooves.
其中对槽区内的场处理，保留其高次项，表示为一无限本征驻波之和的形式。
For the eigen-based direction finding technique, array sensor gain and phase uncertainties degrade severely its performance.
基于阵列协方差矩阵特征分解的测向技术，在天线阵各通道特性不一致时，其性能会急剧下降。
In this paper, by developing a method for updating eigen decomposition, we proposed an incremental Principal Component Analysis.
本文提出并推导了特征分解的校正算法，并以此为基础，实现了增量学习的主成分分析方法。
Covariance velocity spectrum is based on the fact that the sampled data can be arranged in eigen structure of covariance matrix.
协方差速度谱是基于采样数据可以排列成协方差矩阵的特征结构而设计的。
In MIMO communication systems, an eigen-beamforming algorithm which could reduce the symbol error rate effectively was proposed.
在多输入多输出通信系统中，为了有效地降低系统的误符号率，提出了一种特征波束形成算法。
Stiffness matrix and load vector were founded on developing eigen-equation for wall element and applying principle of virtual work.
通过推导单元特征方程的解及应用虚功原理，建立了墙元的刚度矩阵和荷载向量。
Approximating the unit of coating as hollow viscoelastic cylindrical shell, an eigen equation of the axisymmetric waves is derived.
将覆盖层单元近似为粘弹性圆柱管，导出轴对称波的特征方程。
The new method is based on combining perturbation method of eigen-problems with rational approximation of a vector-value function .
提出了一种新的结合特征灵敏度直接法和向量值函数有理逼近的结构动力重分析方法。
Considering the disturbance of the plasma electrons at the beam-ion channel boundary, the eigen-equation of TM mode has been derived.
考虑束-离子通道边界上等离子体电子可能发生的扰动，导出了TM模本征方程的理论式。
By looking for the areas where stretch values are dense, the stretch eigen-value model judges optimization degree of multicast paths.
组播树特征伸长度模型通过寻找路径伸长度密集分布区域来评价组播路径的优化程度。
In this thesis, the AWG's transverse-mode parameter and its eigen equation as well is analyzed based on the periodic waveguide method.
本文提出用周期波导的方法，分析平面阵列波导光栅模式参数及其本征方程。
It proposes an approximation method with two variational parameters for finding the eigen-energies by principle of minimal sensitivity.
提出了一种可借助于最小敏感性原理求解本征能量的双变分参数的近似方法。
The proposed method extracts global feature of patterns, thus the difficulty during choosing eigen-quantity can be effectively avoided.
该方法提取模式的整体特征，可有效避免选取特征量时的困难。
From these expressions the dyadic Green's function for a dielectric waveguide can be obtained if the eigen-mode of the waveguide are given.
根据这个表达式，只要给定介质波导的本征模，就可以得到该波导的并矢格林函数。
This method can obtain the exact eigen-modes and frequencies of whole structure. However the method needs to solve a non-linear eigen equation.
这种方法可以获得全结构的精确模态，其代价是要求求解一个非线性特征方程。
Properties of free vibration were analyzed for simplified geared rotor, and the main factors of influence on eigen frequency were also analyzed.
针对齿轮耦合的简单平行转子系统，研究了固有振动的特点，分析了影响固有频率的主要因素。
So we transform it to total angular momentum representation in instant form and explore the physical contents of the meson radial eigen equations.
所以我们把这一哈密顿量变换到瞬时形式下总角动量表象中，并仔细分析所得到的介子径向本征方程的物理内涵。
So we transform it to total angular momentum representation in instant form and explore the physical contents of the meson radial eigen equations.
所以我们把这一哈密顿量变换到瞬时形式下总角动量表象中，并仔细分析所得到的介子径向本征方程的物理内涵。
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