同性质的

In the paper,Coleman automorphism is further researched and some properties of Coleman automorphism are obtained.

本文首先对Coleman自同构做了更深入的研究，得到了Coleman自同构的一些性质。

To realize and maintain civil political liberty, so far as its relatinoship with political system is concerned, power division should be put into practice.

要实现和保证公民的政治自由，从它同政治体制的关系上说，就是要实行分权；从它同公民的关系上说，就是要有良好的刑法，依照犯罪的性质量刑。

In this paper,some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.

首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

Using combinatorial thoughts and topological methods,a closed curve system that contains the most number of non-contractible,pair-wise disjoint and pair-wise non-homotopic closed curves on the orientable surface is investigated.

利用组合数学的思想、拓扑的方法研究在可定向曲面上，一类含有个数最多的不可收缩的、两两不相交、互不同伦的圈系统及其性质，得出了关于这些圈的一些拓扑定性性质，并给出这些圈在曲面上的位置分布。

The primary theory of numbers aspect related integer property basic content.

摘要本论文主要讨论了整数的离散性、代数性质、有序性、整除性、最大公因数与最小公倍数、素因子分解、同余等初等数论方面的有关整数性质的基本内容。

Congenial: They are empathic to people's problems and needs and can quickly recognize both ends of an argument.

同性质的：他们神入到人们的问题和需要上，并能很快的认识到一个解决的结论。

For a single structure, use concrete from same placing site, made of sands and gravels of the same specification and nature.

同一结构部位尽量采用同一料场的同规格、同性质的砂子或碎石。

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了