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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。

By using standard ideas from Lie groups and Lie algebra, the recursive formulation and the Lagrangian formulation were presented.

采用李群和李代数的方法来描述牛顿—欧拉方程和拉格朗日方程，得到机器人动力学在关节空间和操作空间内单个连杆的递推公式以及整个系统动力学方程的矩阵表达式。

Some difficulties lie behind, but greater ones lie ahead.

已经历了一些困难，但更大的困难还在前面。

Considering the vehicular SG cruise integrating model under braking condition influenced by some factors of nonlinearity, time-delay and the disturbance, a new nonlinear SMITH predictor is designed to compensate the time delays of control variable in advance. Furthermore, with the resort of pure delay operator, extension of the Lie derivative and the Lie bracket, some issues of SISO nonlinear system with time delays in state variable are resolved, which cover the input-output linearization, invertability of coordinate transformation and the disturbance decoupling problem.the staged transformation and design technique, the vehicle deceleration tracking control and the SG cruise disturbance decoupling control under braking condition are carried out effectively using proposed control method.

在建立制动工况下车辆走-停巡航系统集成模型基础上，针对其非线性、时滞特性以及目标车减速度干扰的影响，提出一种改进的非线性SMITH预估补偿方法，以消除控制变量时滞，并结合时滞算子、扩展李导数和扩展李括号方法，研究并解决了SISO状态变量时滞非线性系统的输入输出线性化、坐标变换的可逆性以及输出干扰解耦问题，实现了SISO时滞非线性系统的综合控制。

In Chapter 2 is concerned the Lie point symmetry group of two type WKI equations based on the motions of plane and space curves by using the Lie classical method.

通过研究平面和空间曲线的运动，得出两类WKI方程，并利用李的经典方法，得到相应的李点对称群。

Consequently, the numerical calculation methods of the propagation ought to be Lie group transformation too, which is known as Lie group method.

本文应用李群方法，系统表述相空间中的地震波和频率空间域中的单程波传播，并由此分别给出地震波场数值模拟和深度偏移的李群算法。

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。

But if you must lie, lie in the arms of the one you love.

但如果你一定要说谎，就躺在你所爱的人的怀里说。

A man's true life is the way in which he puts off the lie imposed by others on him. Stripped, naked, natural, he is what he is. This is a matter of being, and not of becoming. The lie cannot become the truth, the personality cannot become your soul. There is no way to make the nonessential the essential.

当我们携带著一大堆由别人加在我们身上的应该和不应该，我们就变成好像图中这个衣服破烂、正在奋斗的人物，他正试图要往上坡走，而且扛在他肩膀上那个愚蠢的暴君还大声喊说：「走快一点，努力一点，赶快爬到顶端！

Lie upon; lie on top of

n。 在背面，在反面

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。