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Chapter 2 is devoted to the discussion of the asymptotic synchronization of par-tially coupled Lorenz systems with the external coupling matrices being n×n irreduciblesymmetric real matrices having zero row sums and nonpositive off-diagonal elements.

在第二章我们讨论了当外部耦合矩阵是n×n阶实对称不可约,行和为零且对角线以外的元素非正的矩阵时部分耦合非恒同Lorenz方程格点系统的渐近同步问题。

Introduction of Probability, Schrodinger Equation, Uncertainty Principle, One Dimensional Quantum Systems, Linear Space and Matrices, Diagonalization of Matrices, Eigenvalues and Eigenvectors, Similarity Transformation, Central Field Systems, Helium Atoms, Angular Momentum.

量子力学( S0310)(3,0)机率简介、薛丁格方程式、测不准原理、一维量子系统、线性空间及矩阵、矩阵的对角化、本徵值及本徵向量、相似变换、中心场系统、氢原子系统、角动量。

In the first part, we shall prove several inequalities involving symmetric positive semidefinite, general M-matrices and inverse M-matrice which are generalization of the classical Oppenheim s Inequality for symmetric positive semidefinite matrices.

第一个部分给出了半正定矩阵,一般的M-矩阵以及逆M-矩阵的一些相关不等式,而这些不等式都是有关半正定矩阵的经典的Oppenheim不等式的推广。

For first-order linear DPS with spatial-varying coefficient matrices a method is presented to approximate the system piecewisely by N partial differential equations with constant coefficient matrices.

它包括两大部分,一是关于分布参数系统的频率域数学描述即传递函数这一基本问题的应用研究,二是关于一类用多滞后型传递函数表示的分布系统的控制设计问题。

we use the unity and orthogonal of Hubbard operators to give the transforming formula of Pauli matrices and Hubbard operators, by using these transforming formula we realize the change from Pauli matrices to Hubbard operators.

方法我们利用Hubbard算符的归一性和正交性给出了Hubbard算符和Pauli矩阵之间转化的运算公式,从而实现了哈密顿量表示方式的转化。

In Chapter 4we obtained the properties of the generalized Perron complement of inverseM-matrices and inequality of Fan product of H-matrices.

第四章介绍了不可约逆M-矩阵的广义Perron补的性质,以及H-矩阵的Fan 积不等式。

The physical meaning of the dynamical equilibrium relationships, velocity space-time distribution and energy propagation involved in the energy matrices can be described by the positive definite quadratic form of the energy matrices.

能量矩阵蕴含的动态力的平衡关系、速度的时间_空间分布和能量的传播及变化的物理意义,能够从能量矩阵的正定二次型特性表述出来。

As a result, the mass matrix, the stiffness matrix, the damping matrix and the excitation coefficient matrices of the dynamics differential equations are random parameter matrices. According to the minimum deviation rule of the mean squares between the random parameter system and the deterministic parameter system, the random mean square deviation vector function between the two systems has been set up and the deterministic parameter system has been solved.

应用Newton-Euler矢量法对挂接车辆系统建立了质量阵、刚度阵、阻尼阵和激励系数阵皆为随机参数阵的八自由度随机参数系统动力学微分方程,并按照随机参数系统与确定性参数系统之间的均方值偏差最小的原则,建立了两系统之间的随机均方偏差矢量函数,由此解出了相应的确定性参数系统

Keywords Interval number;Complementary judgement matrices;Reciprocal judgement matrices;Utility value;Preference ordings;OWA operator;Aggregation;Multi-attribute decision making

Article From 西南交通大学;管理科学与工程博士论文 2004年度区间数;互补判断矩阵;互反判断矩阵;效用值;偏好次序; OWA算子;集结;多属性决策

In contrast,the theory of large dimensional random matrices,especially,that of the large sample covariance matrices become a very significant and powerful mathematical topic.

因此大维随机矩阵理论,尤其协方差矩阵相关性质的研究就成为非常重要且迫切需要解决的课题。

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Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。

I think we have to be very careful in answering these questions, because nothing is really so simple.

我认为,我们在回答这些问题的时候应该非常谨慎,因为事情远没有那么简单。