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In this paper,some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.

首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。

In order to carry out the CAD for double-layer fabric conveniently,the paper proposes mathematical models for designing double cloth in which the face layer and back layer are separated and for binding double cloth with integral matrixes ,which are the basis of fabrics weaves and are structured with the principle of matrix theory.

为便于进行双层组织辅助设计，以织物组织结构为依据，以矩阵理论为基础，提出用整数矩阵设计表里分离的双层织物组织及接结双层织物组织的数学模型，把一个三维结构的双层织物组织简化成一个等效的二维矩阵，为利用计算机进行双层组织的辅助设计奠定了基础。

This paper rebuilt the original Risk Matrix, then combined with the characteristics of venture investment in China, list an example of the application in venture investment.

最后结合我国风险投资项目的特点，以原始风险矩阵为基础对其进行了改造，并利用改造后的风险矩阵，采用风险矩阵方法对风险投资项目评估进行了实证研究。

This paper will introduce the polynomial greatest common divisor comprehensively and combine its basic characteristics with matrix decomposition and line transformation, and then use it to solve some related problems.

并把多项式最大公因式的性质与线性变换，矩阵分解相结合，解决一些相关的问题。

A dynamic feedback compensator synthesis method based on linear matrix inequalities and internal model control is proposed in this paper.

提出了一种基于线性矩阵不等式和内模控制的动态反馈抗饱和补偿器的设计方法。

A new scheme to compute the state feedback matrix is developed in this paper.

本文提出了计算状态反馈矩阵的新方法。

This paper introduces the sufficient conditions of the similarity between someparticular block matrix on the division rings.

给出除环上某些特殊块阵的相似的充分条件，并具体给出了对于除环上n阶阵A和B，AB与BA的群逆都存在的充分必要条件，并推广了Cao等人"在两个矩阵乘积群逆的逆序法则"文章中一个结论。

This paper discusses whether the definitions of heavy-tailed distribution s produced by slow-varying function and the definitions of heavy-tailed distribution s produced by exponential echelon matrix are congruous.

讨论了由慢变化函数形式给出的重尾分布定义，与由指数阶矩形式给出的重尾分布定义是否一致。

This paper discusses whether the definitions of heavy-tailed distributions produced by slow-varying function and the definitions of heavy-tailed distributions produced by exponential echelon matrix are congruous .

摘要讨论了由慢变化函数形式给出的重尾分布定义，与由指数阶矩形式给出的重尾分布定义是否一致。

In this paper, we review some back ground and recent advances in the field of complex networks, and give the sufficient conditions guaranteeing the local and global synchronization stability of the complex connected dynamical networks with asymmetrical coupling matrix and time delay in coupling by using Lyapunov functional.

在这篇论文中，较全面地介绍了复杂网络研究的背景，发展和现状，着重讨论了动态网络模型的同步性质，应用Lyapunov泛函，考察了带有更一般的不对称连接矩阵以及时滞的复杂动态网络的同步性质，给出了局部和全局同步的充分条件。

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％。