查询词典 manifold without boundary

Structure-Based Approximation Learning Theory: Under the description of manifold and topological architecture of neural field, we have proposed a learning frameworks of neural networks based on global architecture approximation theory borrowed from the concept of topology and manifold to solve the optimal problems of learning in non-nonlinear and non-Euclidean space, and discussed a few basic components of the learning theory, learning mechanism and learning algorithm in the term of structure-based approximation and global structure analysis.

基于结构的逼近学习理论：通过人工神经网络模型神经场的流形结构和拓扑结构描述，我们提出了在非线性和非欧氏空间中基于整体结构逼近的神经场学习理论框架；用对偶流形理论和拓扑概念作为工具，讨论了神经网络的学习理论、学习机理、学习算法和算法的具体实现。

And then, by regarding the curve and surface as a map from differential manifold to topological manifold, we present the framework of GRPCS and discussed its basic properties in detail. GRPCS provides a unified framework for parametric curve and surface.

然后通过势函数来构造微分流形上的单位分解，将曲线曲面看作微分流形到拓扑流形的映射，给出了广义有理参数曲线曲面的整体理论框架，并对广义有理参数曲线曲面的基本性质进行了讨论。

A method of the surface combination based on classification or Euler Operation and the computation of the surface boundaries of a surface is offered to finish the geometry mapping of surfaces between half-edge model and the closed_shell branch of manifold surface model. Moreover, the concepts of conformal-shape geometrical mapping and topological mapping are given. The bi-directional conformal-shape topological mapping between half-edge model and the closed_shell branch of manifold surface model is proved.

提出了一种基于等价分类和欧拉操作的面片合成和曲面边界计算方法，完成了半边模型到流形曲面模型closed shell枝的曲面几何映射；给出了保形几何和保形拓扑映射概念，证明了半边模型到流形曲面模型的closed_shell分枝的双向保形拓扑映射。

The last three chapters is partⅡ:Our main goal is to study dipolarizations and〓 manifolds.Let M be a symplectic manifold,if M admits two smoothtransversal Lagrangian foliations,then M is called a〓manifold.

后三章为第二部分，主要讨论双极化与仿凯勒流形，设M是一个辛流形，如果在M上存在两个横截的拉格朗日叶状结构，则称M为一个仿凯勒流形。

By means of center manifold method, this paper gives methods for judging stability of critical nonlinear systems. Moreover, it uncovers connections between results obtained form center manifold method and other methods.

本文采用中心流形方法，给出了非线性系统临界稳定性的判据，并且得出了用中心流形方法所获得的稳定性判据和用其他方法所获得的稳定性判据之间的关系。

It's a time-costing and mistake-making work while designing the complicated tunnels and holes in the hydraulic manifold block. This paper introduces character-driven design method of the hydraulic manifold block based on the Pro/Program module of Pro/E software .

引言目前，国内液压机企业已普遍开展了产品的计算机辅助设计，使设计者在设计过程中不再是一笔一地划线条，而是直接调用二维图库的图块直接编辑，受到了设计人员的欢迎。

Our main products are: Toilet tissue paper, Typewriter manifold paper, Electrostatic copy paper, Offset paper and writing paper. Our company is the biggest tax payer of Qianwei County, the biggest typewriter manifold paper production base of China, and the biggest electrostatic copy paper converting base of southwest China.

主要产品：生活用纸、打字纸、静电复印纸、双胶纸、书写纸等，是犍为县第一纳税大户，是中国最大打字纸生产基地，西南最大的生活用纸生产基地。

PUMPING SYSTEM: Includes 2 diffusion high vacuum pump, mechanical pump, vacuum cold trap, vacuum manifold with valves, and water manifold with valves.

真空泵系统：包括2英寸扩散泵，机械泵，真空冷却冷阱，真空歧管和阀，冷却歧管。

Our study addresses the following topics:A conception of relative nonlinear measure on the equilibrium manifold parameter has been derived based on the definitions of equilibrium manifold and nonlinear measure about nonlinear system.And the nonlinear measure curve of a material boiler-turbine CCS model has been drawn.From the curve, we linearised the CCS nonlinear model and constructed the T-S fuzzy model of the unit by linking together the linear models of the unit with membership functions.

本文的研究内容集中在如下几个方面：根据非线性系统平衡流型和非线性测度的定义，提出了关于平衡流型参数的相对非线性测度的概念，据此绘出了一个具体单元机组机炉协调控制系统模型的相对非线性测度曲线，对此协调控制系统非线性模型进行了线性化，并用隶属度加权的方法将各线性化模型连接成协调控制系统T-S模糊模型。

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。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。