查询词典 manifold classification

Do some tentative analysis of the tunnel lining by numerical manifold method. the idea is given that combining regular mesh with finite element mesh and using low-order and high-order cover displacement function in numerical manifold method, it make preprocess and program analysis, precision and efficiency for coordination.

4利用数值流形方法对隧道工程中衬砌结构进行了尝试性的分析，提出了结合规则网格和有限网格并行、高低阶覆盖位移函数混合计算的思想，以达到前处理和程序计算、计算效率和求解精度的协调。

This relation will imply that,to what extent,the position ofan attractor or a repeller of a non-singular Smale flow in a closed 3-manifold depends onthe behavior of the flow on the rest of the manifold.

我们还得到了挠量、一般闭三维流形中链环的Alexander多项式与基本群的表现之间的关系，并由此说明了闭三维流形上Smale流的吸引和排斥闭轨组成的链环的Alexander多项式与流在流形其他部分的行为的依赖关系程度。

The paper discusses the structure of the soul in a complete noncompact Riemannian manifold M with nonnegative curvature,and proves that if the soul of the manifold is unique,then the soul actually degenerates to a pole.

讨论了具非负曲率的完备非紧黎曼流形上的核心的结构，证明了如果核心是惟一的，那么核心将退化为极点。

We study the nonexistence of stable p-harmonic map from complete non-compact strong-parabolic Riemannian manifold to pinching Riemannian manifold.

文章讨论了从完备非紧强抛物黎曼流形到拼挤黎曼流形的稳定p 调和映照的不存在性。

Endowed with a Riemannian metric derived from the gray scale information of a given image, the image space became a Riemannian manifold. On this Riemannian manifold, we evolved a curve by the mean curvature flow using the level set methods.

在图像空间上直接赋予一种由图像灰度信息导出的黎曼度量，使之成为黎曼流形，然后在此黎曼流形上利用水平集方法对曲线以平均曲率流进行演化。

Since the OGY method needs stable manifold, it can't be applied in controlling hyperchaos which has no stable manifold.

由于OGY方法的控制需要稳定流形，因此对没有稳定流形的情况，即所谓超混沌情况就无法用它控制。

Although the unstable manifold of the fast subsystem is different from that of the full system, the stable manifold of the fast subsystem is almost the same as that of the full system, so the domain of attractor of the full system can be given by that of the fast subsystem.

除了理论分析外，同时也给出了数值模拟的结果，包括分支图，轨线，吸引域，各变量的收敛性等。本章给出的稳定平衡点的吸引域对电力系统实行适时控制起到很重要的作用。

We study the attractive manifold method of the iterative learning control for a class of degenerate systems in the chapter Ⅲ. When the learning control systems don't satisfy the convergence condition, we present the learning control method satisfying the condition by constructing a stable and attractive manifold corresponding system. This method makes the system with better robustness.

第三章主要研究了一类退化系统目标跟踪的迭代学习控制的吸引流形方法，在系统不满足一般收敛条件的情况下，我们通过构造一个相应于所给系统稳定而吸引的流形，导出所满足要求的迭代学习控制，该方法对系统有较好的鲁棒性。

A simple form of the unstable manifold s for the fixed points not being on the boundary;2. Aim To study singular points, closed orbits, stable manifolds and unstable manifold s of a second order autonomous Birkhoff system.

目的研究二阶Birkhoff自治系统的奇点、闭轨、稳定流形与不稳定流形，方法用常1微分方程的定性方法进行研究，结果与结论给出二阶Birkhoff自治系统的奇点判据、闭轨判据、双曲平衡点判据，得到与其相关的平衡稳定性、稳定流形与不稳定流形等。

Estimate shows the resonant gaps between KAM tori can be as large as of order 〓, while the transversality which can be obtained by Poincaré-Melnikov method in the stable manifold and the unstable manifold, as best as we can hope, is only order 〓.

但在通有的摄动下，部分双曲环面会破裂，仅用Poincaré-Melnikov方法无法构造出足够长的"传递链"。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。