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.
正如每个整数都可用一些质数的积表示，任一对象的对称都可由所谓简单群的基本构件集合构造出来。
Much as every integer can be broken down into a product of prime Numbers, the symmetries of any object can be constructed from a collection of basic building blocks known as simple groups.
Skype提供免费的基本产品，这些产品用于用户在世界的任何地方免费通话，通过这一手段，Skype已经建立了数量巨大切忠诚度高的用户群。
Skype has built a vast and loyal user base by offering a free basic product that allows users to call each other from anywhere in the world for free.
作为一群领地的更值得牺牲者，它们基本上就是这样为了更大的利益，牺牲了自己。
Thus, they may have essentially sacrificed themselves for the greater good, being more expendable members of the colony.
组织一次“快闪”活动，基本上只需要用电子邮件通知一群人在某个地点出现一会儿，然后消失。
Organizing a "flash mob" basically involves e-mailing a bunch of people with instructions to show up at a certain place for a few moments, then disappear.
我们是一群来自不同专业的孩子，基本上背景不同。
We were a group of college kids who came from different majors, and different backgrounds, basically.
因为所有的水域基本都快干涸了，所以着色菌群在缺氧的水域繁殖，它们的颜色反映在水面上就是不透明的血红色。
And as most of the water dried up, Chromatiaceae, which flourishes on oxygen-starved water reservoir, does it work was reflected on the new opaque-red colour of the West Texas lake.
供应链是一群合作伙伴，它们共同把基本商品(上游)转化为由最终客户评价的最终产品(下游)并且它们对各阶段的利润进行管理。
A supply chain is a group of partners who collectively convert a basic commodity (upstream) into a finished product (downstream) that is valued by end-customers, and who manage returns at each stage.
朋友超载是facebook群(FacebookGroups)这一应用基本理念的一部分。在过去的6个月中，Facebook用户建立了5千万个FacebookGroups。
Friend overload was part of Facebook's rationale behind Facebook Groups, 50 million of which have been created in the past six months.
开发矿产资源，要首先重视“基本物质资源”的开发，建设支柱产业群。
Explioting mineral resources should firstly pay attention to fundamental material resources and build prop industry group.
群件这个词（最终基本上变成了LotusNotes 的同义词）指的是促进一群人之间进行通信、协作和协调的应用程序。
The term groupware (which eventually grew virtually synonymous with Lotus Notes) refers to applications that enhance communication, collaboration, and coordination among groups of people.
刻划了S-正则半群上的极大幂等元分离同余并给每个S-正则半群一个基本表示。
The maximum idempotent - separating congruence on a S - semigroup is characterized and a fundamental representation of a such semigroup is given.
第三部分，阐明基本概念的基础上，分别从集群内企业间合作与竞争两个角度，探讨群内企业间网络——主体与主体间的活动对于集群竞争力的影响。
From the perspectives of cooperation and competitiveness, the third part discusses the impact of network relationship-the activity between body and body on the competitiveness of enterprise clusters.
元素是xml文档和HTML文档的主要基本组件群。
Elements are the main building blocks of both XML and HTML documents.
该算法能克服基本微粒群优化算法精度较低，易发散的缺点，有较高的搜索效率。
This algorithm can solve the problem of low precision and divergence of basic particle swarm optimization algorithm, so it has higher efficiency of search.
分布的基本成分为疏松的个体群。
Basic distribution component of population distribution was loose individual groups.
本文给出仿射联络空间中仿射运动群的基本定理的一种证明；
This paper gives a proof about the fundamental theorem(and the inverse theorem)on the affine groups of motions in the affinely connected spaces.
煤系地层是明水泉群形成和存在的基本地质条件之一。
Coal formation strata is one of the basic geological condition for occurrence and form of Mingshui spring group.
从随机优化技术出发，针对基本蚁群算法，提出了一种随机摄动蚁群优化算法。
A novel ant colony optimization algorithm with random perturbation behavior (RPACO) based on combination of general ant colony optimization and stochastic mechanism is developed in this paper.
从群的角度出发，导出了量子力学中的基本力学量与对称变换群中的生成元的关系式。
This paper derives the relationship between the fundamental mechanical quantity in quantum mechanics and the generation element in symmetry transformation group.
本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。
This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.
针对基本蚁群算法中存在的早熟现象，提出了基于证据理论的搜索方法。
An effective method based on the theory of evidence is put forth to improve the searching performance of basic ant colony algorithms.
多速度模式运行是现代中高速电梯的重要特征，而运行仿真是电梯群控仿真研究的基本环节。
Multi-level velocity mode is an important feature of the advanced elevator, and the simulation of elevator running is the primary part of the elevator group control research.
多速度模式运行是现代中高速电梯的重要特征，而运行仿真是电梯群控仿真研究的基本环节。
Multi-level velocity mode is an important feature of the advanced elevator, and the simulation of elevator running is the primary part of the elevator group control research.
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