查询词典 eigenvalue

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。

In chapter one,we discuss tournament matrices that can not end in tie and theyare(0,1)-matrices,we first obtain a better lower bound for the number of regulartournament matrices,then we discuss the payoff matrix of tournament matrix,obtainsome properties of positive tournament matrices,a correlation between the spectralof a tournament matrix and its payoff matrix.We find serveal conditions that areequivalaent to a tournament matrix having 1 as its a eigenvalue.

第一章讨论不允许平局的竞赛矩阵-（0，1）-矩阵，得到了正则竞赛矩阵数目的一个下界，它改进了文献〓中已有的结果；在文献〓的基础上进一步讨论了正竞赛矩阵的性质，给出了利用已知平衡向量构造新平衡向量的方法；讨论了竞赛矩阵和它的支付矩阵的特征值之间的关系；指出了文献〓中的一个错误，回答了文献〓中的一个公开问题，得到了整数1为竞赛矩阵的特征值的充要条件及这种矩阵的谱根与得分向量之间的关系。

The results of resonance wavenumbers and the Q -factors of WGMs deduced from the intuitive self-consistent picture of eigenray beam are well coincident with the ones obtained by directly solving the eigenvalue equation.

根据特征光线束自洽的直观图像推导了WGM谐振波数与品质因子 Q 值，并与直接求解本征值方程所获得的结果符合很好。

It is proved that -1 couldnt be the eigenvalue of Jacobian matrix of Poincare map at .fixed point by the analysis of the symmetry of.

对于单自由度双面碰撞振子，通过分析Poincare映射的对称性，证明了不动点不存在-1的特征根。

In this paper, we expand eigenvalue of Poisson equation using bilinear element ,By the formulation of the error expanition,we can conclude that it is a upper bound.

本论文对Poisson方程的特征值采用双线性元进行展开，得到了误差展开式，通过误差展开式，我们能得到特征值是上界。

The major tasks in this paper include:(1) Improvement in the lower bound of max eigenvalue of the positive matrix.

本文重点研究遗传算法以及混合遗传算法在传统数学中的应用，主要有以下几个方面的工作。

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。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

Nokia research center, Beijing 100013; 4. School of Computer Science and Technology, Beijing Hang University, Beijing 100083Abstract An initial quantity parameter prejudgment algorithm that can predict the initial QP precisely is proposed based on statistics of encoded frames and frame complexity eigenvalue of I frame.

基于视频图像编码前的参数信息和I帧图像复杂度的特征量分析，建立算法模型，提出了精确预测初始量化参数算法，该算法可准确预测初始量化参数。

The eigenvalue problem of Dirac operator with perturbation Parameter is studied,the analyticity of perturbation parameter is discussed,and the analytic extension is done,at last,the expansion formulas of power serier about preradical expansion into perturbation parameter are got.

针对带有微扰参数的Dirac算子特征值问题，讨论了对微扰参数的解析性，并进行了解开拓，最后得到了预解核对微扰因子的幂级数展开式。

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。