对偶的

The quaternion calculation for spacecraft attitude determination is investigated in this paper,including the transformation between quaternion and the direction cosine matrix,the quaternion differential equation,the selection of time steps for integrating the quaternion equation,and the compensation methods for the noncommutativity error in high dynamic motion.

介绍了四元数计算中的相关问题，包括四元数与方向余弦阵之间的转换、四元数运动方程、求解四元数运动方程时积分步长的选取和高动态应用中非互易误差的补偿，此外还介绍了对偶四元数的发展。

When wepossess information about the values of a Copula at points in its domain of definition,the bounds can often be narrowed.

本文证明了由Copula及其生存、对偶和伴随Copula组成的集合在函数的复合运算下构成了Klein四元群，求解了群中元素的界以及它们在某个点处的函数值给定时的界。

Firstly,a node-based topology relationship model of transport network is presented,in which the physical connection and the logical connection are described.Secondly,the structure of search node is defined in the sight of dual graph theory as a solution for turn prohibitions and delays in road intersections.

提出了基于节点的交通网络拓扑关系模型，描述交通网络的物理连通性以及逻辑连通性；根据对偶图的思想，定义搜索节点结构，处理交叉口转向限制和延误；改进传统的Dijkstra算法，提出了基于搜索节点的双向启发式A*算法，使用二叉堆优先级队列存储扩展节点，RB-tree存储标记节点。

Results showed that the teaching assumption is supported by this study. Guided discovery and peer discussion are effective instruction strategies for symbolizing a proposition and finding symbolic rule of equivalence relation of dual propositions.

教学过程的观察记录显示在教师的导引与学生的小组讨论下，学生确可发现对偶命题等价并符号化，而在求等价命题的问题上，将原命题符号化再辅以符号规则是成功的关键步骤，教学假设获得支持。

Chapter 3 Some properties in Cesaro-Orlicz sequence spaces: In this chapter, the dual spaces of the Cesaro-Orlicz sequence spaces and the criteria for the extreme point are studied and the sufficient and necessary condition of which the spaces has theλ- property and the uniformλ- property is given by the above results.

第三章Cesaro-Orlicz序列空间中的一些基本性质：本章我们主要讨论了Cesaro-Orlicz序列空间的对偶空间，同时给出此空间中端点的判据，然后由此端点的判据我们证明了Cesaro-Orlicz序列空间具有λ-性质，最后我们得到了此空间中一致λ-性质的等价条件。

For example,a generalization of linear algebra is developed in which "convex bifunctions" are the analogues of linear transformations,and "inner products" of convex sets and functions are defined in terms of the extremal values in Fenchel's Duality Theorem.

例如，一类线性代数的推广形式在凸双重函数中发展起来，而凸双重函数是线性变换的类似情况，凸集和凸函数的内积是根据 Fenchel 对偶理论的极值定义的。

Then, under the consideration of mixed boundary value condition, a pair of dual integral equations for the rocking vibrations of a disk on saturated grounds are obtained, which can be reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Consequently, the dynamic compliance coefficient is evaluated and numerical results are presented to portray the influence of poroelastic effects on the dynamic interaction problem.

对于刚性圆板，作者首先采用Hankel变换对波动方程进行求解，得到了该控制方程在Hankel变换域内的通解，然后由混合边值条件建立了饱和地基上刚性基础摇摆振动的对偶积分方程，并将其化为第二类Fredholm积分方程，用数值方法计算了不同频率下基础的动力柔度系数，从而考察孔隙水的存在对基础摇摆振动特性的影响。

Among all historically active classes-that is, among all ruling classes-matrimony remained what it had been since the pairing marriage , a matter of convenience which was arranged by the parents.

在一切历史上主动的阶级中间，即在一切统治阶级中间，婚姻的缔结，仍然和对偶婚以来的做法相同，──即仍然是一种由父母安排的﹑权衡利害的事情。

Character of solution of stochastic differential equation in dual of nuclear space was studied.

研究核空间的对偶空间的随机微分方程解的性质，得到微分方程组解 L 2收敛的条件，及在一定条件下解过程导出的测度{ Pn}为胎

Along with the transformation of production mode, men has established the dominant position in social production, the emergence of private properties requires adjusting the family model in a way in favour of heir, thus monogamous family take the place of plural marriage family and becomes family model in the age of civilization.

随着生产方式的变革，男性确立了在社会生产中的主导地位，私有财产的出现需要按有利于男性继承人的方式调整家庭形式，于是一夫一妻制家庭取代了对偶制家庭，成为文明时代的家庭形式。

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。