多维空间

Modeling of a rigid-flexible coupled dynamic system.we derivedthe equations of a rigid-flexible coupled dynamical system by usingLagrange Method,including the rigid's space three-dimensionmotion,the beam's vibration and the non-linear joint.

针对某一刚柔耦合多体系统，应用拉格朗日方程建立了含有刚体空间三维运动、柔性体弹性振动及非线性弹性铰的较为完善的动力学方程，由此可以根据不同的实际情况进行简化而得到相应的方程，免去了重新进行烦琐推导的过程。2。

Indeed, in Savigny's cosmopolitan and universalist milieu, there are no room for forum protectionism; private international law should not be concerned with promoting the forum's interests as such but should instead aspire to ensure that each multi-state dispute is resolved in the same way regardless of where it is litigated.

事实上，在萨维尼的世界主义和普遍主义的理论中，法院的保护主义没有空间；国际私法不应关注于促进法院的利益，而应是热望确保每一个多国争端不论其诉讼地在何处，都能以相同的方式解决。

An algorithm for simultaneous estimation of two dimentional angle and polarization of multiple signals is proposed in this paper.

摘要本文论述了一种基于子空间方法的多信号二维到达角和极化参量的估计算法。

Last, this paper introduced some concepts of multiscale geometrical analysis and curvelet transform theory. Because curvelet can showed this feature more 'sparsely' in the function included singular curve or singular side in two dimension space or multi-dimension space. This paper provided a robust digital watermarking technology algorithm based on curvelet transform. watermarking information was embedded into coarse scale coefficients after curvelet transforming, choose right embedding strength. Testing proved it has good invisibility and robustness.

最后，介绍了多尺度几何分析和曲波变换理论的相关概念，鉴于曲波能对二维乃至高维空间中含奇异曲线或者曲面的函数进行更"稀疏"地表示这一特性，本章提出了一种基于Curvelet变换的鲁棒数字图像水印算法，该算法将水印信息嵌入到经曲波变换后的图像的粗尺度系数中，合理选择的嵌入强度，试验表明该算法具有较好的隐蔽性和鲁棒性。

It has the main advantages of stochastic dynamic programming and nested Benders decomposition simultaneously, and can be used to deal with problems with large number of both stages and state variables.

这种算法可以综合随机动态规划和嵌套Benders分解的优势，有效地用来处理较多阶段和较大维数状态空间的问题。

By selecting perceptible YUV colour space, the tensor product of multi-resolution-analysis was substituted for the tensor product of the wavelet function to build up the two dimensional Mallat algorithm to implement the fast wavelet transform, according to wavelet analytical theory.

选择了感知性强的YUV色彩空间，根据小波理论用多分辨分析的张量积代替小波函数的张量积，建立了二维的Mallat算法以实现快速小波变换。

Based on the topological dimension reduction method presented by B. Zhang et al for the problem of motion planning in the environment consisting of precisely known polygonal or polyhedral obstacles, we further discuss the problem of motion planning for a multi—joint robotic arm.

对由完全精确已知的多边形或多面体组成的障碍环境中的运动规划问题，在张钹等提出的拓扑降维法的基础上，本论文进一步探讨了应用拓扑法的多关节机械手的运动规划问题，其中重点解决了状态空间中连通块的划分问题和连通块之间连通性的判别问题。

With the consideration of the spatial variation of physical parameters of soft clay, the probabilistic characteristics of the one-dimensional average degree of consolidation of soft clay was studied and its sensitivity of variance to permeability, void ratio and compression coefficient of soil was also analyzed.

在考虑岩土参数空间变异性的情况下，对软粘土地基一维固结平均固结度的概率特征进行了研究，分析了平均固结度的概率特征对渗透系数、孔隙比和压缩系数三参数变异性的敏感性，进行了岩土参数分布类型对平均固结度影响的正交试验，并根据试验结果进行了方差分析，为进一步开展多层地基固结的可靠性分析打下了基础。

This explanative history supplies us multiple cognitive and thinking dimensions to estimate the relationship between religion and philosophy on a more rational basis.

这种解答的史性为我们在较为合的基础上评价哲学与宗教之间的关系，提供多层次的认知空间和思考维。

The governing equation is formulated based on the zero-order beam theory, and the state space method is used to compute the magnetoelectric coefficient.

本文基于多铁性材料梁结构的轴向运动的一维简化理论，建立了非均匀杆在纯拉伸模式下的控制方程，并采用状态空间法对磁电耦合效应进行了分析。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。