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The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix,and its diagonalization.

讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题。

In this paper,a robust algorithm based on the combination of Principal Component Analysis and Joint Approximative Diagonalization of Eigen matrix is presented.Besides,the influence of PCA on the performance is discussed.

提出一种基于主分量分析和特征矩阵联合相似对角化算法相结合的眼电伪迹去除方法，并探讨了主分量分析对伪迹去除的影响。

In this paper we obtain some new determination conditions from three aspects according to some exists theory and the property of αdiagonally dominant matrix, improve the determination conditions and give some numerical example to show our theory is effective.

本文根据α-对角占优矩阵的性质，从三个方面获得了一些新的判定条件，改进了某些已有判定条件的范围，并用数值例子进行了比较。

In this paper the action mechanism of CeO2 with Al and Mg in Cu matrix for diamond saw blade was researched.

本文研究了CeO2在Cu基胎体金刚石锯片中与Al、Mg作用的机理。

In this paper, the idea of that derivative is replaced with difference quotient is involved in calculating each item of Jacobi matrix.

船舶自由浮态计算实质也是求解一个隐式非线性方程组，故同样可用这一方法求解。

Based on traditional Fourier differentiation matrix and some modifications of the original differentiation operator, this paper refers to a new kind of method——staggered-grid Fourier pseudospectral differentiation operator.

本文在传统傅里叶微分矩阵的基础上，对原始微分算子进行改进，引入了错格微分算子的傅里叶伪谱方法。

In this paper , using the DDA method, after calculating optical characteristics of the difformity aerosol particles, the author gets the relationships of extinction factor and absorption factor of aerosol particles with the changing incident wavelength, combining the Muller scattering matrix, the angular distribution of scattering intensity and polarizability of aerosol particles is given, which provides an efficient approach for the research of atmospheric radiation and transmission.

本文基于DDA方法，对不同形状气溶胶粒子的光学特性进行计算，得到气溶胶粒子的消光因子、吸收因子随波长变化的数值结果。结合Muller散射矩阵，给出了气溶胶粒子散射强度和极化度的角分布，为研究大气辐射传输提供了有效的方法。

Generalized predictive control is a kind of advance control methods that is of strong robustness, can overcome the time delay of system effectively and is suitable to unstable non-minimum phase system. But it has the shortcoming of large computation load because of online solving the Diophantine equation, inverse matrix and recursion solution by Least squares. So four kinds of fast algorithms of GPC that don't need the mathematical model of plant and are highly real-time are proposed in the paper. They have laid the rationale for the application of GPC to systems that need fast response.

广义预测控制是一种鲁棒性强、能够有效地克服系统滞后、可应用于开环不稳定非最小相位系统的先进控制算法，但由于它需要Diophantine方程计算、矩阵求逆和最小二乘的递推求解，因此计算量很大，本文针对此缺陷提出四种不基于对象模型且实时性高的广义预测控制快速算法，为广义预测控制应用于实时性要求高的快速系统奠定了理论基础，具体研究工作如下。

In this paper, the modeling theory of multi-rigid-body dynamics was thoroughly investigated in order to make up the shortcoming in the above modeling method. The major research achievements are as follows:①Based on the matrix of direction cosine between the body-fixed base and the reference base, and Poisson equation of a rigid body rotating, the coordinate transformation method for the modeling of treelike multi-rigid-body dynamics is derived. The method is very routinization and easy to use the computer to carry on the symbol derivation.

本文针对上述建模方法存在的不足，深入地研究了多刚体系统动力学的建模方法，并将所研究的新方法应用于惯性振动设备的建模，取得的主要研究成果如下：①基于刚体连体基关于参考基的方向余弦矩阵和刚体转动的Poisson方程，导出了建立树形多刚体系统动力学方程的坐标变换法，其过程极其程式化，便于利用计算机进行符号推导。

The quaternion calculation for spacecraft attitude determination is investigated in this paper,including the transformation between quaternion and the direction cosine matrix,the quaternion differential equation,the selection of time steps for integrating the quaternion equation,and the compensation methods for the noncommutativity error in high dynamic motion.

介绍了四元数计算中的相关问题，包括四元数与方向余弦阵之间的转换、四元数运动方程、求解四元数运动方程时积分步长的选取和高动态应用中非互易误差的补偿，此外还介绍了对偶四元数的发展。

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％。