查询词典 manifold

Riemannian normal coordinates contain information about the direction and distance from a specific point on a manifold to other points nearby. It is worth to translate this technique from its original setting in differential geometry, to the task of manifold learning.

黎曼正则坐标包含了流形中指定点到邻近点的方向和距离信息，如何将这种源于微分几何的技术应用到流形学习中也是值得研究的课题之一。

In the second part of this paper, by considering the geometric properties of some well-known classical Riemannian manifold and combining with results we had got, we give the definition of the parallel rays in a complete nocompact Riemannian manifold M, which are usual parallel rays when M is restricted to Euclidean space R.

本文的第二部分，基于对一些典型的黎曼流形几何性质的观察，结合已有的研究成果，我们首次给出了完备非紧黎曼流形上平行射线的定义，该定义在欧式空间中就是普通的平行射线。

To understand the properties of the transfer function of parallel tube-manifold system in wind tunnel test,an analysis is made of several parameters related to the transfer function on the basis of the dissipative model with some qualitative rules on perallel tube-manifold system obtained.

风洞刚性模型测压试验是获得建筑结构风荷载的重要方法。刚性模型的测压管路系统一般包括模型表面的金属短管及连接金属管和传感器的PVC管等管道元件。为了得到结构风压的完整信息，应在模型表面布置尽可能密集的测点。

In this paper, the regular domain of traditional parametric surface is generalized to manifold, and a new method is proposed to construct smooth surface based on this domain manifold.

将传统参数曲面的规则定义域推广到一般的二维流形上，并基于定义域微分流形提出了一种新的光滑曲面构造方法。

Lastly, we study the conditions of linearization for symmetric system, from which we can see that a symmetric system is linearizable on manifold M if and only if this system is linearizable on quotient manifold M/G.

最后讨论了对称非线性系统线性化问题，从中可以看出对于具有对称性的非线性系统只要在商流形M／G上能满足线性化条件即能保证在整个流形M上能线性化。

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。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。