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In § 1, we give main definitions and basic results that are needed in the paper. In § 2, we determine the structures of somegroups by using s-normality of Sylow subgroups and the maximal subgroups of Sylow subgroups. There are the main theorems that 1 Let G be a finite group and P be a Sylow p-subgroup of G where p is a prime divisor of |G|.

我们在§1中将给出本文所需的主要概念和基本结果，在§2中讨论Sylow子群、Sylow子群的极大子群的s-正规性对群的结构的影响，主要结果是1设G为有限群，p为|G|的素因子，P为G的Sylow p-子群。

By rolling out mathematical expression of G bubble physical process , space time structures of both information and information unit are fully exposed , therefore we have gotten strict definitions of these two physical quantities .

对G泡物理过程方程的数学展开使得信息和信息单位的时空形式完全暴露，进而得到了可以实证的关于信息和信息单位的物理学定义。

Because the hardware and software may be implemented quickly if wechoose proper normal bases to represent finite fields. In this paper, we first introducesome basic definitions and facts on normal bases over finite fields, then extend theseresults to any Galois extension fields.

在这篇文章中，我们先介绍了有限域上的一些基本定义及关于正规基的相关结论，进而将域扩张到一般的伽罗瓦扩域中，得到了伽罗瓦扩域中正规基与其对偶基等价的充分必要条件，从而将有限域上正规基的等价条件推广到任意伽罗瓦扩域上。

For in order to obtain a robust result, Drs Medlock and Galvani considered two different sorts of epidemic and five different definitions of an optimal conclusion.

为了获得一个站得住脚的结论，Jan Medlock博士和Alison Galvani博士考虑了2种不同流感及一个最优结论的5种不同定义。

And then, we gain some definitions that in relation to regular surfaces which include discrete Gauss curvature and discrete mean curvature.

由此获得了一系列的相对于光滑曲面的离散定义，如离散平均曲率，离散Gauss曲率等。

In this paper, the formal definitions of a general logic topology structure and its fundamental features are givern firstly, and then an algorithm of broadcasts without message tags is proposed based on the general logic topology structure.

文中首先给出了逻辑拓扑结构的形式定义及基本性质，提出了一个基于一般逻辑拓扑结构的无消息标志广播通信算法。

Fibrewise topology is one of the fast branches in the modern topology theory ,Many definitions and properties of the general topology can be extended to the fibrewise topology under certain conditions.

纤维拓扑是近代拓扑理论中发展比较快的一个分支，一般拓扑中的许多定义及性质在一定条件下可以延伸到纤维拓扑中。

Dimension theory is a technical area, initially within general topology , that discusses definitions ; in common with most mathematical ideas, dimension is now defined rather than an intuition.

维理论是一个技术领域，并在初期使用一般的拓扑结构，这一讨论的定义；最常见的数学思想，现在确定的层面，而不是直觉。

General definitions of Internet space validity and time validity are given, then their physical characteristic parameters, i. e., networks density and Internet traveling diameter, are formally defined with quantitative analysis.

首先给出了Internet网络空间和时间效能的一般性定义，然后形式化定义了两种效能的物理表征参量：网络比重和Internet网络访问直径，并进行了量化分析。

The nonsmooth damped Newton method is given based on the definitions of the generalized derivative.

数值试验结果也表明该算法同光滑化算法同样有效。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。