查询词典 manifold paper

The present paper studies the structure of the set of non-wandering points of a continuous map from a Graph(i.e., one-dimensional connected compact branched manifold) into itself.

本文主要研究了图(即一维紧致连通的分支流形)上连续自映射的非游荡集的结构。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念，将等仿射微分几何的理论推广到了射影Blaschke流形，并证明：如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球，则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商，从而对完备射影Blaschke 超球面进行了分类。

The complete pseudo-umbilical submanifolds with parallel mean curvature vector in constant curvature space;2. In this paper,the pseudo-umbilical submanifolds with parallel mean curvature vector in pseudo-Riemannian manifold is discussed.

研究了伪黎曼流形中具有平行平均曲率向量的伪脐子流形，Npn+p为n+p维完备连通伪黎曼流形，它的截面曲率KN满足a≤KN≤b，Mn为Npn+p中紧致的具有平行平均曲率向量的伪脐子流形。

In this paper, we give a generic condition of differentiable function s on noncompact complete Rie- mannian manifold.

本文给出了比文［4］更好的非紧完备黎曼流形上可微函数的最大值与最小值原理的一般性条件。

This paper give an expression of budget set of no- arbitrage equilibrium by the stiefel manifold for the sake of orientation of equilibrium and construction of oriented index theorem.

对任意以2π为周期的连续函数f，本文构造了一个二重傅里叶级数，它在全平面上一致地收敛于f。

The basic theory and the latest research progress in this field are presented in this paper,and the further research directions in application of manifold PCM, studies on insulation properties of building envelope with PCM and inosculation of PCM and building material are pointed out.

维持室内温度在一定范围(24℃～28℃)内是保持室内环境舒适度的关键。随着季节的变化和昼夜的交替室外环境温度是不断地波动的，为了避免这种波动对室内环境舒适度的影响，人们常常利用空调和供暖系统，但相应的能耗随之增加，环境污染也随之加剧。

In this paper we obtain Jorgensen s inequality of isometry group M of Pinched manifold X and a geometric characteristic of nonelementary subgroups of M.

本文建立了 Pinched流形 X上等距群 M中的Jorgensen型不等式；证得了M中非初等群的一个几何特征；得到了 M中子群的两个离散准则。

This paper mainly discusses the least squares problem of complex symmetric matrices on a linear manifold.

本文主要讨论了线性流形上复对称矩阵的最小二乘问题。

This paper discusses inverse problems of secondary eigenvalue for anti-skew-symmetric matrices on a linear manifold.

讨论了线性流形上次反对称矩阵的次特征值的反问题，给出了解存在的条件，并给出了解的通式。

The Locally Linear Embedding algorithm based on Manifold learning is introduced firstly in this paper,because the

从分析基于流形学习理论的局部线性嵌入算法入手，针对传统的局部线性嵌入算法在源数据稀疏时会失效的缺点，提出了基于局部线性逼近思想的流形学习算法，并在S-曲线上采样测试取得良好降维效果。

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。