查询词典 eigenvalue problem

First, based upon the fields in the single cavities, open and short modes are constructed, whose coupling holes on disks are shorted magnetically and electrically respectively. Second, the whole field in the chain is expanded with the short and open modes. With the Galerkin method and the second vector Green theorem, it is possible to describe the physics problem by a simple general eigenvalue matrix equation. Here, the dispersion curves in periodical structures are available.

它首先利用有限元等方法计算各加速单腔中的电磁场，根据一定规则构造成所需的开模和闭模，然后把整个长腔链加速结构中的场用这些开模和闭模展开，再利用伽略金方法和第二矢量格林定理进行数学变换，考虑各模式在加速腔壁和腔间耦合孔处的边界条件后，就能把加速结构中电磁场用数学上的广义本征值矩阵问题描述，从而能够得到所求的色散曲线和电磁场形态。

For the condensed dynamic stiffness matrix in finite models which have finite number of freedom and any dynamic stifmess matrix of infinite system, the element of them is a transcendental function of eigenfrequency. And therefore transcendental eigenvalue problem is needed to be solved in order to get the natural frequency and modes of vibration.

对于有限自由度系统的缩聚动刚度矩阵和无限自由度系统的任何动刚度矩阵，其元素是频率的超越函数，因此求解结构固有频率及其振型归结为求解超越特征值问题。

Investigations show that the smallest module eigenvalue of Jacobian matrix is so small that it causes the problem.

目前关于静态电压稳定的各种分析方法中，都包括有对雅可比矩阵的分析。

A SCNN approach is applied to solve linear and eigenvalue problem of the model. The scale of training set of the neural network in this approach is found only relates to the dimension of element stiffness matrix.

研究并提出了采用SCNN算法用于该问题的线性和特征值求解，且该算法中神经网络训练集的规模仅与单刚的维数相关。

The sensitivity characteristics of the natural vibration frequencies and mode shapes of vibration structures with respect to mass and stiffness modifications are analysed based on the matrix perturbation method of the linear generalized eigenvalue problem.

基于线性广义特征值问题的矩阵摄动重分析公式，较为系统地分析了振动系统各阶固有振频及固有振型随结构质量和刚度的修改的灵敏度特性，得出了一系列具有重要实用意义的结论，指出了对结构进行摄动修改的最灵敏位置。

The criterion equation of the magneticelasticity kinetic problem was gotten by the eigenvalue relation of Mathieu equation's coefficient λ and η.

利用Mathieu方程系数λ和η的本征值关系，得出了载流薄板磁弹性动力屈曲临界状态的判别方程。

The criterion equation of the magnetic-elasticity kinetic problem was gotten by the eigenvalue relation of Mathieu equation's coefficient λ and η.

利用Mathieu方程系数λ和η的本征值关系，得出了载流薄板磁弹性动力屈曲临界状态的判别方程。

The closed-form natural mode satisfies the governing equation of the eigenvalue problem of thin plate exactly and is applicable for any types of boundary conditions.

该模态函数精确满足特征值控制微分方程，并适用于任何边界条件。

In this outlook of this dissertation, the primary idea is to extend the Helmholtz"s theorem to get the complete projection theorem of electromagnetic fields in vector wave space—the extend of the Helmholtz"s theorem which can be used to study the eigenvalue problem of the vector partial differential operator.

在论文的展望中，将亥姆霍兹定理进行推广，得到了电磁场在矢量波空间的完全射影定理即推广的亥姆霍兹定理，由此可以研究基于矢量偏微分算子的电磁场的本征问题。

Buckley, and discusses the fuzzy eigenvalue problem of real symmetric positive fuzzy matrix.

Buckley定义的模糊矩阵为研究对象，全面地讨论了实对称正定模糊矩阵的有关模糊特征值的问题。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。