查询词典 eigenvalue

For the raft, an isoparametric element method and VoigtKelvin model are adopted, which can be used to derive viscoelastic element stiffness matrices, a reform of successive approximation of Rayleigh Quotient is used to solve the eigenvalue problem of the composite structure.

对于筏架结构，采用Voiget-Kelvin模型及等参元法，推导了约束阻尼层单元的刚度阵及将Rayleigh商的迭代步骤加以改进的方法来进行特征分析；对于艇体结构与声学介质耦合部分，采用艇体结构的"干"模态作坐标变换。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

With a representation of the rotation group induced by the anti-commutative, self-inverse matrices the transformations named by Foldy-Wouthuysen, Cini-Taschek,Chakrabarti and the others are treated from a unified viewpoint. A new transforma-tion is found. Some applications of this method in the eigenvalue problems are demon-strated.

我们找出了由反易自逆矩阵荷载的转动群表示，统一地推广处理了Foldy-Wouthuysen，Cini-Tauschek，Chakrabarti等提出的各种变换；建立了一个几何图像，借助于它可以很容易地找到所要求的交换；举例说明了这方法在本征值问题中的应用。

In this paper,we mainly discuss the first eigenvalue on a compact Riemannia manifold with positive Ricci curvature.

主要讨论具有正Ricci曲率的紧Riemann流形上的第一特征值，给出一种下界估计。

The essential mathematical feature upon which this technique is based is that a square m*m matrix C of non-negative real numbers representing, for example, pairwise comparisons of the importance of element of the next higher tactics level has a characteristic equation which yields a dominant eigenvalue λ and a cprresponding right eigenvector x

基本数学特征后，该技术的基本思想是方形m*M矩阵三非负实号码代表，例如成对比较的重要组成部分，未来较高的战术水平有一个特性方程而产生主导特征和cprresponding权向量xwherec=与cij和cij=满足一致性条件

We obtain that the spectrum of system operator A+E in right plane of Re γ≥a1 is composed of finite isolated eigenvalue.

从而得到在Reγ≥a1的右半平面相应于系统算子A+E的谱点是由有限个孤立特征值组成。

On the other hand , illuminated by close relation between harmonic maps and sumanifold theory, we have also researched in-depth about some relative problems in submanifolds theory which include: the estimate of heat kernel and eigenvalue and it geometric application of submanifolds with or without boundary; many kinds of pinching problem of submanifolds which include the rigidity theorem, topological sphere theorem, differential sphere theorem and topological finite theorem.

另外，鉴于调和映照与子流形之间的密切关系，我们还要深入研究子流形几何中与之相关的一些问题，主要包括：带边与不带边子流形的热核与特征值估计及其几何应用；子流形的刚性定理、拓扑球定理、微分球面定理、拓扑有限性定理等各类Pinching问题。

In this paper as an example of a typical large-span dome roof, the direct superposition method of Ritz vectors are used in the solution of the eigenvalue problem and the calculation of wind-induced response of the roofs.

大跨屋盖特徵值问题的求解是结构动力响应分析中最繁琐的一个环节，而且一些对结构响应贡献较大的高阶模态容易在传统的模态叠加法中被忽略。

In this paper as an example of a typical large-span dome roof, the direct superposition method of Ritz vector s are used in the solution of the eigenvalue problem and the cal.

本文以典型的大跨圆拱屋盖为例，将里兹向量直接叠加法应用于屋盖系统特征值问题计算和风致响应分析，其特点是在误差逼近的基础上自动生成一组正交的里兹向量并用于缩减系统自由度数。

A rounding error analysis of the symplectic Lanczos method is given for the Hamiltonian eigenvalue problem.

给出了求解大规模、稀疏Hamilton矩阵特征问题的辛Lanczos算法的舍入误差分析。

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。