查询词典 eigenvalue

Based on mathematical analysis, elastic geostress field is a symmetric second-order tensor, which can be expressed as symmetric matrix and studied by its eigenvalue and eigenvector.

根据对二阶张量的数学分析，通过求取二阶张量的特征值与特征向量，导出了对称张量在空间几何学中对应的二次曲面。

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。

For one-dimensional mesoscopic metal rings system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current, the property of quantum current have been investigated and analysed.

针对处于外磁场中的一维介观环系统，假设在电荷空间中具有变换的对称性，通过求解电流算符的本征值方程，给出系统中的量子电流关系，分析和研究一维介观金属环中量子电流的性质。结果表明，量子电流不仅与外磁场、介观金属环参数有关，而且还明显地依赖于电荷的量子化性质

In this paper, we consider the following computing method of tridiagonal matrix:(1) decoupling of linear equation;(2) determination of determinant and eigenvalue-eigenvector relation;(3) matrix inversion.

二引宫在数值计算中，有许多问题足后归结为三对角矩阵的计算涸此研究它们的计算方法是有意义的。此外，有些三对角阵的计算方法可以做为带状阵计算的借鉴。

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。

Eigenvalue buckling analysis can only forecast the theoretical buckling strength of an ideal linear elastic structure, because of the unideal property of material and geometrical nonlinearity, most structures can not reach their theoretical strength limit.

特征值屈曲分析只可预测一个理想线弹性结构的理论屈曲强度，材料非理想性与几何非线性使得大多数结构无法达到它们理论强度极值。

Previous works require α, the eigenvalue of the linearization of the unknown function at its fixed point, is not on the unit circle or lies on the circle with the Diophantine condition.

以前在这方面的工作要求未知函数在其不动点处的线性化特征值α不在单位圆周上或在单位圆周上但满足Diophantine条件。

And guided by Schur theorem, many of the Schur theorem inference arises, formed a complete theoretical system Schur theorem. Schur theorem and put many of its reasoning applied to the unitary matrix and the similarity matrix eigenvalue of proof onto.

在Schur定理的指导下，许多关于Schur定理的推论便产生了，并且形成了一个完整的Schur定理理论体系，把Schur定理和它的许多推论推广到了酉矩阵的相似和矩阵的特征值的证明上来。

The use of the web to spread fears that flicking the switch on the LHC could create a Black Hole that could swallow up the Earth particularly concerned him, he said.

他说，使用互联网散布恐慌说启动LHC会生成一个可能吞噬地球的黑洞的做法让他感到忧虑。

Not a single word have I written down.

我一个字也没有写下来。