特征值

Estimating the lower and upper bounds of the eigenvalue in terms of geo-metric and topological quantities of manifold is a very important research topic.

通过流形的几何量与拓扑量来估计其特征值的上、下界是一个十分重要的研究课题。

In this thesis, we mainly study several problems on geometry and topology of Rieman-nian submanifolds, which contains the geometric rigidity, topological sphere theorems and eigenvalue problems of Laplace-Beltrami operator on Riemannian submanifolds.

本文着重研究黎曼子流形上几何与拓扑的若干问题，主要内容包括子流形的几何刚性、拓扑球面定理和Laplace-Beltrami算子的特征值问题。

The analyses of total stability and free vibration of sandwich shells are reduced to the eigenvalue question.

夹层壳的总体稳定性和自由振动分析，都归结为特征值问题。

This isn't a power or toughness -- it's a new value.

这并非力量或防御力——这是一个新的特征值。

All assumptions for the method are come from the classical theory of the differential equations of motion of any studied element of a structure. Its dynamic stiffness matrix is the transcendental function of frequency. This transcendental eigenproblem can be solved efficiently by applying the well-known Williams-Wittrick algorithm.

该方法的所有假设仅来自于建立该单元运动微分方程的经典理论，所形成的动态刚度阵是固有频率的超越函数，解决这类超越特征值问题的有效方法是Williams-Wittrick算法。

Afterward, vibration equations of bundle conductors system which consider the effects of spacer dampers are derived(including transcendental function and plural), the vibration frequencies and modes of bundle conductors system are got by solving the transcendental eigenvalues of these equations. Then the amplitude ratio of each spacer dampers to sub-conductors are got, so bundle conductors can be exactly solved with the application of energy balance method as single-conductor.

然后，推导出了考虑阻尼间隔棒阻抗影响的分裂导线体系的振动方程组，通过求解超越特征值得到分裂导线的振动频率和模态，得到各间隔棒、各段子导线的振幅比，从而使分裂导线可以象单导线一样应用能量平衡法进行精细求解。

According to the experiential data of the DRASTIC index, the standard values of 10 classes for 7 indexes are proposed in the form of triangular fuzzy numbers, and similarly the weights of indexes are expressed in the form of triangular fuzzy numbers.

参照DRASTIC方法的经验性数据，给出了10个级别7项指标以三角模糊数表示的标准特征值，给出了三角模糊数表示的指标权重。

Tridiagonalization of symmetric matrices and computing eigenvalues of tridiagonal symmetric matrix are the keys of eigenproblem parallel solver of dense symmetric matrix.

对称矩阵三对角化和三对角对称矩阵的特征值求解是稠密对称矩阵特征问题并行求解器的关键步。

In many practice problems such as to know the resonnance frequency of a structure and to know the critical value for the stability of a dynamical system,often need to compute the eigenvalues of a symmetric matrix. The chief method to compute the eigenvalues of a symmetric matrix is first to transformate the matrix to a symmetric tridiagonal matrix similarly and orthogonally, then to use the QR method with shift to the symmetric tridiagonal matrix.

很多实际问题，如求结构振动的固有频率，动力系统稳定性的临界值等常常归结为计算对称矩阵的特征值，而首选的计算方法是先把该矩阵正交相似变换成一个对称三对角矩阵，再对这个对称三对角矩阵用带位移的QR方法。1968年J.H。

To explain the computable of correlated noise attenuation by wavelet analysis; to give adaptive wavelet shrinkage algorithm on basis of threshold. We discuss three thresholds'choice; namely eigenvalue, unbiased risk estimator and hitograph method. We give comesponding experiments'analysis and comparison. It shows that our method is reliable.

阐述了小波分析去相关噪声的可行性；给出了基于阀值的自适应小波收缩法，讨论了三种阀值的选取；论述了特征值法，无偏的风险估计与直方图法，给出了相应的实验分析与比较，说明了该方法是可行的。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。