查询词典 manifold paper

This paper presents a method of localized linear manifold self-organizing map, which is able to learn a set of ordered low-dimensional linear manifolds in the high-dimensional vector space.

摘要提出一种局部化的线性流形自组织映射方法，可自主学习高维向量空间中的一组有序的低维线性流形。

In this paper, we discuss the 2-harmonic spacelike submanifolds in a locally symmetric and conformally flat pseudo-riemannian manifold and get two sufficient conditions under which Mn turns into a maximal submanifold,and the results in [2] are improved.

讨论局部对称共形平坦伪黎曼流形的2-调和类空子流形，得到这类子流形成为极大的二个充分条件，推广了文[2]中的结论。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundle For a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained.

中文摘要：本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

In this paper we will mainly study the gauge fixing Yang-Mills heat flow of a principal bundleFor a principle bundle with a compact seme-simple Lie group as its structure group over a compact Riemannian manifold without boundary, the evolutions of the curvature and its higher derivatives under the flow above will be derived, and the energy inequality and the Bochner type estimates will be obtained. Then, the monotonicity formula and the small action regularity theorem can be proved. We will give the locally uniform estimates for the higher derivatives of the curvature.

本论文主要讨论主丛上的规范固定Yang-Mills热流我们在紧致无边黎曼流形上的以半单紧致李群为结构群的主丛上，推导了在规范固定Yang-Mills热流下曲率及其高阶导数的演化方程，得到了该热流的能量不等式和Bochner估计，由此可推出单调性公式和小作用量正则性，以及曲率各阶导数的局部一致估计。

In this paper, the unstable manifold of a continuous self-mapping/on a completely densely ordered linear ordered topological space is discussed.

文章研究完备稠序的线性序拓扑空间上连续自映射f的不稳定流形。

To the numerical model of the aluminum intake manifold constructed by Reverse-Engineering, this paper

计算网格的疏密和计算网格的方便生成也是计算流体力学在实际设计工作中得

In this paper,we mainly discuss the first eigenvalue on a compact Riemannia manifold with positive Ricci curvature.

主要讨论具有正Ricci曲率的紧Riemann流形上的第一特征值，给出一种下界估计。

This paper is divided two chapters. The first chapter discusses the existence and uniqueness of solution for the Cauchy problem of the following quasilinear degenerate parabolic equationThe second chapter studies the geometric properties of a Riemannian manifold.

本文分两部分，第一部分是对如下形式的拟线性退化抛物方程Cauchy问题讨论了解的存在唯一性；第二部分是讨论了黎曼流形中的一些几何问题，主要是将欧氏空间平行射线的概念推广到一般黎曼流形，并研究其所具有的性质。

This paper introduces H∞ robust control theory to design thesliding manifold of the variable structure control system.

本系统的干扰不满足扰动与系统的完全匹配条件，因此滑模控制系统的滑动模态将受到扰动的影响。

Consists of sheets and trim of new printed or unprinted coloured or white groundwood free paper used in the manufacturing of manifold forms, continuous forms, data forms, and other printed pieces such as sales literature and catalogues.

工业使用的彩色或白色不含磨木浆的纸张和其切边，有新印刷油墨或没有印刷油墨。这类纸是用于制造打印表格、连续性表格、数据表格和同类印刷品。

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。