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Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法,可将分段的传递函数描述转换为变参数的状态空间描述,对3种典型控制系统的稳定鲁棒性所进行的理论研究表明,对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象,依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器,在满足一定的条件时,存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

Based on the speciality of the spectral function, we provide the sufficient conditions such that the spectral function are K—increasing (strictly K—increasing) in Euclidean Jordan algebra, and establish the relationship between the spectral scalar solution set and the K— efficient solution set of the Euclidean Jordan algebra vector optimization problem.

基于谱函数的特殊性,刻画了谱标量函数满足K-增性的充分条件,继而建立了谱标量解集与欧几里德若当代数向量优化问题K-弱有效解集和K-有效解集的包含关系。

Next, we give the definition of Killing form hold for pointed YD-Lie algebra, let L be a pointed YD-Lie algebra, for every homogeneous elements x, y ∈ L, if = tr_q.then we call Killing form of L.

接着,给出了点YD-李代数的Killing型的定义:L为任意的点YD-李代数,如果齐次元x,y∈L定义:=tr_q。

The Lie algebra 〓 in[14]is replaced by the twisted algebra〓.

在[14]中用到的李代数〓将由扭李代数〓来代替。

Chapter 3: Take a further look at the development of the complete Lie algebra which conclude the simple Lie algebra.

第三章:展望一下包括单李代数的完备李代数的发展趋势。

And then the definition of simply complete Lie colour algebra and L self-homomorphism are given .A Lie colour algebra is simply complete if and only if it can not be decomposed .

然后给出了单完备李color代数的定义,并给出了一个李color代数是单完备的充要条件,即是不可分解的,同时引入了L的L自同态的定义。

A Lie group,called N-group,and its Lie algebra,calledN-algebra,are introduced for the structure analysis of the systems.

同时为便于进行系统的结构分析,引入一种称为N-群的李群及其李代数,N-代数。

Mathieu[17] discribe the form of Lie derivations on primitive ring whose charater is not 2 and which has no non-trivial idempotent. After that, Miers[18],Mathieu and Villena[19] also study Lie derivations on Von Neumann algebra and algebra.

Martindale[17]首先讨论了特征不等于2且含非平凡幂等元的本原环上的Lie导子的表达形式,随后Miers[18],Mathien和Villena[19]也分别对VN代数,C~*-代数上的Lie导子进行了刻画。

Linear Algebra deals with the fundamental knowledge of linear algebra and its application in economic management.

线性代数讲授线性代数的基础知识及其经济中的应用。

In the fifth chapter event-process algebra is introduced as a contrast to individual-stuff algebra,and I applied this semantic model to linguistical problem.

在这一章中引入了与上一章中"个体——质料"代数相对应的"事件——过程"代数,并对这种语义模型做了应用。

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Do you know, i need you to come back

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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.

第三章汉藏语&的&字结构的类型划分。