伴随的

It gives a definition to translation of matrix and gives out a relation between shape of adjoint matrix adjoint translation φ and mucleus φ.

定义了矩阵的伴随变换，给出了线性变换φ的伴随变换的象与φ的核之间的关系。

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 ？

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 ？

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。

The optimal control law obtained consists of linear analytic functions and a compensation term which is a series sum of the adjoint vectors. The analytic functions can be found by solving a Riccati matrix difference equation and a matrix difference equation. The compensation term can be obtained by a recursion formula that solves adjoint vector equations.

得到的最优输出跟踪控制律由状态向量的线性解析函数和伴随向量级数形式的补偿项组成，其解析函数由一次性求解Riccati矩阵差分方程和矩阵差分方程得到，补偿项由求解伴随向量差分方程的递推公式得到。

This chapter tooinvestigates the connections between the adjunction of fuzzy logical operators andthe relationship of fuzzy conjunction and its residual implication. A series ofproperties related to the adjunction of fuzzy logical operators are given.

研究了满足伴随关系的模糊逻辑算子与模糊合取及其剩余蕴涵之间的联系和具有伴随关系的模糊逻辑算子的一系列性质。

Firstly, we define the Killing form over any finite dimensional Hopf algebras using the adjoint action, then we investigate the fundamental properties of the Killing form, and obtain a decomposition of Hopf algebras under the adjoint action.

首先，利用Hopf代数的伴随作用定义了有限维Hopf代数上的Killing型，并讨论了Killing型的基本性质，得到了Hopf代数上的伴随表示分解式。

Accompany with the subduction of Pacific and Indian plates, upper mantle convected more violently, and new upwelling astheosphere replaced and eroded the lithosphere, and resulted in irregular thinning of cloud-like mantle along reticulated or dondroid weak zones. The thinning was dominated by replacement of lithosphere with new upwelling astheosphere, and accompanied possibly by delamination.

在这过程中，特别是伴随太平洋、印度洋板块的俯冲作用，地幔对流加剧，上涌的新生软流体顶蚀置换岩石圈，从而造成了沿早期业已存在的幔内薄弱带网络，出现类以&蘑菇云状&的地幔不规则减薄，这种减薄以新生软流体取代岩石圈为主，并可能伴随一定程度的岩石圈拆沉作用发生。

Just as severe thunderstorms are accompanied by hail and tornadoes, it is believed that some of the most intense space storms — the ones producing the most penetrating radiation — are accompanied by substorms.

正如恶劣的雷暴伴随冰雹和龙卷风，据认为，有些最激烈的空间风暴–自己生产最精辟的辐射–伴随副空间风暴。

From about 206 Ma there occurred arc-continent collision accompanied by compressional contraction and shearing deformation of the arc crust and development of syn-collision granites. In the late Yanshanian epoch (138-73 Ma) post-orogenic extension came into action and resulted in the generation of A-type granites. During the Himalayan (65-15 Ma) intra-continental orogenic movement a large-scale strike-slip thrusting induced the intrusion of granites and development of pull-apart basins.

据此，再造了造山带的形成过程与演化历史：印支期的大规模俯冲造山作用(238～210 Ma)，形成义敦火山岩浆弧；大约自206 Ma始，发生弧-陆碰撞，伴随岛弧地壳挤压收缩和剪切变形，发育同碰撞花岗岩；进入燕山晚期(138～73 Ma)，岛弧碰撞造山带发生造山后伸展作用，形成A型花岗岩带；喜马拉雅期发生陆内造山作用(65～15 Ma)，岛弧碰撞造山带出现逆冲-推覆和大规模走滑平移，伴随喜马拉雅期花岗岩的侵位和拉分盆地的形成。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。