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In this paper, the c cyclic graph whose largest eigenvalue of its Laplaeian matrix equals v is obtained, and the relation of c and m is studied.

得到了Laplacian谱半径等于阶数的所有c圈图，研究了c与m之间的关系。

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

In this paper, decomposition of a quaternion matrix is systemically studied.

本文系统的研究了四元数矩阵分解理论。

In the hind part of this paper, a brief introduction of density matrix method is presented and its equivalence to Schroinger equation in multilevel system is described.

在本文的末尾部分，给出了密度矩阵算法的简要介绍，并说明了密度矩阵算法在分析多能级系统布居转移时与薛定谔方程的等效性。

In this paper a full density matrix treatment is adopted to deal with the interaction between long-pulse,circularly-polarized light and the sodium atoms.

采用密度矩阵方法来处理长脉冲光与钠原子的相互作用，求解24能级钠精细结构的布洛赫方程，给出参与跃迁的每个态密度随时间的演化曲线。

In this paper,the rough set theory based on discernibility matrix is applied to derive association rule from web log,and the derived association rule set is used to predict user behavior.

运用基于差别矩阵的粗糙集提取Web日志中的关联规则，并将生成的关联规则集用于用户行为的预测。

The matrix expression of the system state for a two-state unit system is derived in this paper.

状态矩阵；概率矩阵；状态元件；系统元件；运行状态；系统状态

This paper has also derived the unit stiffness matrix of bar element on which the moment of some nodes is over the elastic ultimate moment and discussed the convergent properties of computing method.

把水压机活动横梁假设成一交叉梁系，对其做了弹塑性有限元分析，导出了部分节点弯矩超过弹性极限时的梁单元刚度矩阵，讨论了计算方法的收敛性。

In order to eliminates the influence of the interaction of structures, realizes the most optimized control of system, minish error of the structural pseudodynamic test, the paper achieve decoupling controlling of multivariable electro-hydraulic servo system by adopting the method of diagonal matrix based on the sutra control theory.

为了消除结构耦合的影响，实现对系统的最优化控制，减小结构拟动力试验误差，本文以经典控制理论为基础，采用对角矩阵法来实现多变量伺服系统的解耦控制。

This paper discusses the matrix of the basic theory of diagonalization. On this basis, it studies the two matrices at the same time or a contract similar to the conditions of diagonalization.

本文论述了矩阵可对角化的基本理论，在此基础上研究了两个矩阵同时相似或合同对角化的条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。