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In this paper, we develop the theory of Killing form over any finite dimensional Hopf algebras, and discuss the deep relations between the non-degeneracy of Killing form and the adjoint representations of Hopf algebras.

中文摘要：本硕士论文的主要内容是在有限维Hopf代数上建立了Killing型的一般理论，揭示了Killing型的非退化性与Hopf代数的伴随表示之间的深刻联系。

Thenwe use adjoint operator method to compute normal form of order 7 for averaged systemswith Z2—symmetry and obtain relations between the coefficients of normal forms andthe coefficients of averaged systems.

然后利用共轭算子法计算了具有Z2—对称性的平均系统的7阶规范形，得到了规范形的系数与平均系统的系数之间的关系式。

Specify what status the spatial operator algebra locates at in many methods of multibody systems dynamics formulations and what the relations are between the spatial operator algebra and other dynamics formulations.We explain the basic conception of the Lie group, Lie algebra and Riemannian manifolds in detail, deeply analyze and research the Special Euclidean Group SE(3) and se(3) in the Lie group, Lie algebra. Establish the relation between the adjoint transformation Adg and the operatorφ(k + 1,k) under a particular condition, substitute the operatorφ(k + 1,k)with spatial adjoint operator Ad kk ?

在多体系统动力学理论体系中，详细阐述了Lie群、Lie代数和Riemannian几何的基本概念，对Lie群、Lie代数中的特殊Euclidean群SE(3)和se(3)作深入分析与研究，建立Lie括号下的伴随变换Adg在特定条件下与空间算子代数理论中的空间变换算子φ(k + 1，k)之间的相互关系，并将空间伴随算子Ad kk ？

The zero dynamics were divided into several types, and the relations between the zero dynamics of general nonlinear system and that of its adjoint system norm were discussed by using functional analysis.

佘焱将零动态分为几种类型，运用泛函分析等工具，研究了一般非线性系统与其作为仿射非线性系统的伴随系统的零动态之间的关系。

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained.

近20年来，由于微分几何等数学工具的引入，非线性控制系统的理论取得了长足的进展［1］，其中包括仿射非线性系统的精确线性化［2～4］。

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained. The conclusions include the corresponding results of the affine nonlinear systems.

引入一类相关的仿射非线性系统，通过研究一般非线性系统与其伴随系统的关系，利用伴随系统的精确线性化结论，获得一般非线性系统精确线性化的充要条件，其结果包含了仿射非线性系统的已有结果。

2Research of strength characteristic for high bending concreteWe researched the bending strength, compression stength and cleavage strength characteristics of different type, different design strength and different age HBSPC , and analyzed the relations of of the strength of different HBSPC,we also analysised the influence regulation for HBSPC strength by the the admix amount and feeding sequence.

2高抗折强度路面混凝土强度特性研究。研究不同类型、不同掺量和不同龄期HBSPC的抗折强度、抗压强度和劈裂强度特性，并分析HBSPC不同强度之间的关系。

To this, lu Weixing of chief inspector of public relations of the net that clean out treasure expresses to the reporter, such admonitory letter cleans out treasure to be able to be given out regularly, not be to be aimed at technically " 3 · 15 ", just the range of this post a letter is wider, basically all sell the home to be received.

对此，淘宝网公关总监卢维兴对记者表示，这样的警告信淘宝定期都会发出，并不是专门针对"3·15"的，只不过这次发信的范围比较广，基本上所有卖家都收到了。

American disc association is in charge of the Jonathan of senior vice president of public relations general affairs expressing, sue the first choice that is not us, but legal to those continuously oversight approach and enough for much more admonitory person, sue the one part that is necessary step.

美国唱片协会负责公关事务的高级副总裁乔纳森表示，起诉从来都不是我们的优先选择，但对于那些持续地忽略合法的途径和足够多警告的人来说，起诉是必要措施的一部分。

Legal consequences of the adoption usually involving close relatives of the adoptive parent, one is to set up blood relations in fiction of law, and bring out new legal relationships between the adoptee and the close relatives of the adoptive parent.

收养所产生的法律后果往往会涉及收养人的近亲属。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。