性质

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。

In this thesis, we give a general method and design non-interactive non-malleable commitment schemes based on functions with special properties(q-one way group homomorphism).

本文中，我们考察了承诺方案的不同性质，并给出了将具有一类性质的函数转变为非交互式不可延展承诺方案的通用方法和安全性证明。

In this chapter, firstly, the definition of rough rings and its properties are given. Then the definition and properties of rough subrings, rough ideals and rough quotient rings are put forward and proved. Finally, homomorphism and isomorphism of rough rings is studied.

在这一章中，首先给出了粗糙环的定义及其性质，其次给出了粗糙子环、粗糙理想、粗糙商环的定义及其性质，最后研究了粗糙环的同态与同构。

From these researches as above, this paper found a new method to analysis salty soil road engineering properties by phase equilibrium theory, which provides a new angle of analysis on salty soil properties, experiment and engineering practice in these ways as follows:(1) Analysis the disadvantage of traditional salty soil experiment;(2) Analysis the disadvantage of current salty soil definition by phase equilibrium theory, and gives the chart of distinguish salty soil by the condition of hydrography and climate change;(3) Analysis the mechanics of subgrade frost boiling based on the change rule of liquid content;(4) Based on the change rule of ingredients content and volume in salty soil, analysis the mechanics of subgrade salt heaving and the restraining method by adding sodium chloride.

通过以上研究，本文初步建立了以相平衡理论为核心的盐渍土路用工程性质分析方法，该方法对盐渍土工程性质的理论分析、试验研究以及工程实践提供了新的研究思路与方法，具体体现在：(1)分析了传统的盐渍土试验存在的缺陷；(2)分析了现行盐渍土定义的不足，并以相平衡理论为基础，结合水文、气候条件的变化给出了判别盐渍土的诺谟图；(3)分析了盐渍土盐溶液含量的变化规律，并从盐渍土含液量变化规律出发，分析了盐渍土路基较非盐渍土路基翻浆严重的机理；(4)分析了盐渍土各固相含量及其体积的相变规律，并在此基础上分析盐渍土路基的盐胀机理，以及采用添加氯化钠来抑止硫酸盐盐渍土的盐胀机理

For a comparative study, polyethers based on hydroquinone and 4,4'-biphenol were also prepared and characterized.

为了性质比较，本研究亦合成了由hydroquinone和4，4'-bisphenol所衍生的聚醚并测定其性质。

Results There was strong correlation betneen ambeyopia and property of focus, other factors such as myopia, hypermetropia, and anisometropia didn′t have relation with degree of amblyopia until its affected the property of focus.

结果 弱视轻重程度最相关的因子是注视性质，而远视、近视程度、屈光参差程度及有无斜视与弱视相关程度被剔除，提示这些因素只有影响到注视性质时对弱视程度的影响才有差异。

In mathematics this conjecture is that the extrinsic geometric properties onsubmanifolds in AdS-space have corresponding Gauge theoretic geometric propertiesin its ideal boundary.

如果用数学的语言来解释AdS／CFT对应则为：AdS-空间中子流形的微分几何性质与AdS-空间中理想边界上的规范场论的几何性质是相对应的。

A sub variety of idempotent semiring variety which satisfies the additional identity and is given in this paper.

给出了满足附加等式x+xy+x≈x+y，x+xy≈xy的幂等元半环簇 I的一个子簇，讨论了该簇中成员的一些性质，并得到了这些性质的几个等价刻画和其成员的Mal'cev积分解。

An M operation is constructed in η-ξ spacetimewhich maps the system in region Ⅰ of the Lorentzian section onto the system inregion Ⅱ. The M operations on the fields lead to properties identical to those ofthe tilde operation.

在η-ξ时空中可以构造一个M变换，它将洛伦兹截面上一区中的系统变至二区中的系统。M变换对场的作用的性质正好等同于热场动力学中带弯变换的性质。

On the basis of relatively accurately calculated band structure and wave function for this system,we calculated the imaginary part of dieletric function of the superlattice system.

结果表明，该超晶格系统的光学性质结合了ZnS和ZnSe体材料光学性质的特点，在相当宽的能量范围内有较好的光谱响应。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。