基本群

讨论了n自由度自然哈密尔顿系统能量面的基本群。

The fundamental group of compact isoenergy manifolds of natural n degree of freedom Hamiltonian systems is discussed .

具有非负Ricci曲率的开流形的基本群

The Fundamental Group of Open Manifolds with Nonnegative Ricci Curvature

在研究等距群较大的正曲率流形的基本群的时候，上述Rong定理是一个基本的工具。

This theorem has been a basic tool in the study of the fundamental groups of positively curved manifolds with large isometry groups .

本文利用不动点类的代数化，决定复迭空间的基本群的正规子群H的构成因素及其性质，研究不动点类与H不动点类的关系。

By using algebra of fixed point class to determine the component factors and properties of normal subgroup H of the fundamental group of the covering space , the paper studies the relation of fixed point class with fixed point class H.

Orbifold基本群与陈阮上同调若干问题研究

The Study of Some Questions with Orbifold Fundamental Group and Chen-Ruan Cohomology

J.H.Rubinstein已经把闭的、不可约的包含Klein瓶并且基本群有限的这样一类三维流形它们的映射类群各是什么样子都已给出了证明。

J. H. Rubinstein have obtained the mapping class groups of the closed , irreducible and orientable 3-manifolds which contain Klein bottles and have finite fundamental groups .

证明了完备、定向曲面的基本群在SU（2）中的表示空间可等同于该曲面上秩为2且具有平凡行列式丛的全纯向量丛的模空间.并且它们具有射影结构。

The representation space of the fundamental group of a closed , oriented Riemannian surface is identified with the moduli space of the holomorphic bundles of rank 2 with trivial determinant bundles over the surface and these spaces are proved to carry a projective structure .

通过构造基本群的正规子群，得到有限复迭空间和自映射的提升，并定义了Lefschetz-Nielsen数，指出用Lefschetz-Nielsen数可以估算自映射的Nielsen数。

In this paper , the finite regular covering space and the advancements of the self mapping were gained by formation for regular subgroup of the fundamental group . And the Lefschetz Nielsen number was defined , it could be used to estimating of Nielsen number .

紧致的非正曲率流形的基本群

On the Fundamental Group of Compact Manifolds with Nonpositive Curvature

基本群在覆盖流形与球面的积空间上的作用

Fundamental Group Actions on the Product Spaces of Covering Manifolds and Spheres

关于乘积空间基本群和形变收缩核的相关讨论

On Fundamental Groups and Deformation Retraction of Product Space

关于基本群的非交换性

On the Non - commutativity of Fundamental Group

不分明拓扑空间的同伦和基本群

Homotopy and fundamental group in fuzzy topology

基本群胚上的动量映射

Momentum mapping on the fundamental groupoid

在脉码调制技术中，通过时分多路器而组合在一起的一种信道基本群。

In pulse code modulation , a basic group of channels assembled by time division multiplexing .

紧致的具有非止截面曲率的黎曼流形，它的拓扑结构可由基本群唯一决定。

The topological structure of compact Riemannian manifolds with nonpositive curvature is decided uniquely by their fundamental groups .

反之，对于紧致拓扑流形，能否由基本群决定在它上面是否容许有非正曲率的黎曼度量？

Can the fundamental groups of any compact topological manifold determin that it admits a non-positively curved Riemannian metric ?

本文主要研究图的基本群的正规子群的指数何时成为任意正整数的条件。

In this paper , we study the condition which makes the fundamental group of graph have every positive integer as the index of some normal subgroup .

通过计算全测地子流形的基本群，确定了紧正规黎曼对称空间的极大的极大秩全测地子流形的整体分类。

In this paper , the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal Riemannian symmetric spaces by computing the fundamental group .

本文给出基本群为剩余有限的紧致3维流形何时有有限多有限复迭，何时有有限多有限循环复迭的充要条件。

We determine at what occasion while the compact 3-manifolds with residually finite groups have only finitely many finite covers , and while those have only finitely many finite cyclic covers .

本文利用群胚的有关知识证明了李群在基本群胚上的提升作用有余伴随等变的动量映射这一结论，进而刻划了辛群胚的几何性质。

In this paper , in accordance with the knowledge of Groupoid , we proved that the nature life of Lie Group on a Fundamental Groupoid has a coadjoint equivariant momentum mapping .

根据集团内由于格点自旋方向随时可变的几率分布造成的物理学非均匀性定义了集团容量维，并引进了集团的基本群概念。

The capacity dimension of the cluster is defined according to the physical nonuniformity resulted from the different probability distributions of lattice spines directions with time in a cluster , and a concept of fundamental group of the cluster is introduced .

对基本粒子群算法进行了智能化改进，并运用改进粒子群算法和MATLAB语言，对化工生产过程中的苯-甲苯闪蒸过程进行了优化仿真计算。

Basic particle swarm algorithms were intelligentized . Based on the intelligentized algorithms and MATLAB , simulation regarding optimization of benzene-toluene flash vaporization process during process of chemical production was made .

本文利用经典统计分析中的方差分析方法，针对基本微粒群算法中的惯性权、加速常数C1和C2的设置对算法基本性能的影响进行了分析。

So the variance analysis of statistic theory is applied to analyze the effect of inertia weight and accelerating constants .

元素是xml文档和HTML文档的主要基本组件群。是否确实要对文档工作区中的文档禁用文档更新警告？

Elements are the main building blocks of both XML and HTML documents . Are you sure you want to disable Document Update Alerts for documents that are part of a Document Workspace ?

考虑到基本粒子群算法在实际应用过程中存在容易出现早熟收敛和全局收敛性比较差的不足，将基于惯性权重的粒子群算法应用到流程工业分布式控制多Agent系统的任务调度中。

Considering the basic particle swarm algorithm has the shortages of premature convergence and the global convergence in actual application , the particle swarm algorithm based on the self-adapting inertia was applied to the task scheduler process of process industry multi-Agent system .

本文针对Pso的缺点和多目标优化的特点，提出一些新的机制和策略，改进了基本粒子群优化算法。将改进后粒子群优化算法用于多目标优化问题。

According to the shortcomings of PSO and the characteristics of multi-objective optimization , this paper puts forward some new mechanisms and strategies and improves the elementary particle swarm optimization algorithm .

本文在基本微粒群算法（PSO）的位置更新中引入了模拟退火算法思想，并改进了模拟退火算法（SA）中的降温操作。

This paper introduces the concept of simulated annealing algorithm ( SA ) in the position modifying of the particle swarm optimization algorithm ( PSO ) and improve the operation on dropping in temperature .

本文加入惯性权重来改进基本粒子群算法，在对变风量末端系统建模的基础上，对基本粒子群PID和带惯性权重粒子群PID进行仿真实验，并相比较。

In this article , I improve the basic PSO with the inertia weight , carry on the simulation experiment of PSO-PID and inertia weight PSO-PID at the base of modeling the VAV terminal system , and compare with the results .

多点成形是基于产品的数字化几何信息，由产品的三维CAD模型直接驱动可调基本体群，通过工具的包络面实现金属板材曲面成形的一种柔性加工方法。

Multi-point forming ( MPF ) is a flexible manufacturing technology for metal-sheet forming . It is based on numerical geometry information of product and the die is divided into a matrix of discrete elements which are directly driven by 3-D Model of product .