矩阵函数

In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章，通过定义对称区间矩阵负定的概念，主要用区间矩阵分析技术和Lyapunov函数方法，研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性，我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

This paper first presents the characteristic function of matrix Beta distribution and then obtains the first two moments through matrix differentials.

首先给出了矩阵Beta分布的特征函数，然后利用矩阵的微分得到了矩阵Beta分布的前二阶

Finally,we obtain the singular matrix Dirichlet andthe singular matrix Beta distribution,and the density functions of them are ob-tained.

最后，由退化矩阵Liouville分布构造了退化矩阵Dirichlet分布、退化矩阵Beta分布，得到了它们的密度函数的表达式。

Construct the three-dimensional manifold element covering hexahedron, provide cover displacement function, strain matrix, stiffness matrix and stress matrix of the three-dimensional manifold element by the previous research work.

6在前人研究的基础上，构造了六面体有限覆盖的三维流形单元，推导了三维流形单元覆盖位移函数、应变矩阵、刚度矩阵、荷载矩阵等表达式。

The algorithm consists of a least-squares part providing an analytica l initial solution,and a projection part that projects the initial least-square s solution successively onto each equality constraint.

该算法有两个显著特点：一是目标函数的Hessian矩阵不要求正定；二是由于采用平方根因子分解来计算增广Hessian矩阵及投影算子矩阵，算法具有很好的数字稳定性。

The main advantages of EGGLE include:the fixed neighborhood parameter k,only one time for constructing neighborhood graph and geodesic distance matrix,only needing to choose generalized Gaussian functions many times for constructing many Laplacian matrixes,obtaining multiple independent low-dimensional coordinate sets, independently training multiple classifiers,and combining classification results of these component classifiers to produce the final identification.

3提出了一种基于GGLE的集成判别算法，该算法的主要优点是：近邻参数k固定，邻接矩阵和测地线距离矩阵都只构造一次，只需要多次选择广义高斯型函数构造多个拉普拉斯矩阵，获取多个独立的低维空间坐标集合，独立学习分类器，集成分类识别。

Hadamard matrix as an orthogonal matrix was investigated by Sylvester from 1867, possess important position in block design, it was used extensive in project and communication. The thesis has discussed the relation of Hadamard matrix and Walsh function as well as pseudo-random sequence.

Hadamard矩阵最早是作为正交矩阵由Sylvester在1867年开始研究的，在区组设计中占有重要地位，其广泛应用在工程和通信上；本文着重讨论了Hadamard矩阵和Walsh函数以及伪随机序列的关系，最后所得结论具有一定的理论意义和应用价值。

Chapter 3 is devoted to equistability and equiboundedness of matrix differential equations by making use of the symbol property of the matrix Liapunov function and its Dini derivate on specific set.

第三章研究了矩阵微分方程的渐近行为，给出了直接运用矩阵Liapunov函数在某特定集合上的符号与其广义Dini导数符号的性质研究矩阵微分方程的稳定性和有界性。

During the T-matrix method of calculating light scattering by particle, incident and scattered fields are expand into spherical vector wave functions: which, via their relationship derived from the Maxwell equations, leads to the T-matrix, a transferring matrix between expansion coefficients of fields.

在粒子光散射计算的T矩阵方法中，将入射场和散射场用球矢量波函数展开，通过Maxwell方程推出二者之间的关系-零场方程，可获得散射场和入射场展开式系数之间的传输矩阵-T矩阵。

In incorporation with Jilin province science and technology department item "Study of Industry Technological Advance Systemic Effect and Frame of Jilin Province industry Technology Incidence Establishment", about national interindustry incidence relation ,research is carried out in the paper as follows:On the base of national 1997 years input-output production table ,figures out direct consumption matrix of coefficients and matrices of middle input rate.

本文结合吉林省科学技术厅课题《产业技术进步系统效应及吉林省产业技术关联表编制框架研究》对我国的产业关联关系做了如下研究：在我国1997年投入产出表的数据基础上，计算出直接消耗系数矩阵及中间投入率矩阵，并将图分析法用于产业间关联关系的研究中；在计算完全消耗系数矩阵后，计算出各产业部门的感应度系数和影响力系数，并做了波及效果分析；本文经过对各种测算技术进步方法的比较，首次采用前沿生产函数中的数据包络分析方法分析投入产出模型中的产业间技术关联；机械设备制造业具有较高的物质关联性和技术关联性，同时波及效果显著，把含有高新技术的机械设备制造业作为主导产业发展，可以提高整个工业的技术装备水平。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。