性质上的

What is the probability that the intersectingof two lines belongs to K? Finally, in this paper, we introduce the concept of double chord-power integrals ofa convex body in R~3, and some properties of double chord-power integrals of a convex body in R~3 are got.

最后，本文通过弦幂积分的理论体系和已经得到的平面上双弦幂积分的概念和性质，把双弦幂积分的概念推广到R~3上，得到了R~3上双弦幂积分的一些性质和结论。

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

In addition, piperidine nitroxides, which exhibit a chemical inertness, relatively nontoxic and strong EPR signals, were studied.

并考察了性质稳定、毒性小、具有较强电子顺磁共振信号的哌啶氮氧自由基，在其4位上连接具有不同性质的官能团，研究其各项性质的变化。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows: 1 The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid. 2 By studying some properties of fuzzt bases of closed fuzzy matroid, the necessary and sufficient condition of judging fuzzy bases of closed fuzzy matroids and some corollaries are found. In the end, an algorithm of obtaining a fuzzy base is given. 3 By studying some properties of fuzzt circuits of closed fuzzy matroid, some necessary and sufficient conditions of using its fundamental sequence to express fuzzy circuits are found. An algorithm of obtaining a fuzzy circuit is given. 4 By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

本文在现有拟阵和模糊拟阵理论的基础上，研究了闭正规模糊拟阵及其基本序列，闭模糊拟阵的模糊基及算法、模糊圈及算法等内容，现分述如下： 1研究了闭正规模糊拟阵的一些性质，得到了闭正规模糊拟阵的充要条件及其模糊对偶拟阵的一个性质； 2研究了闭模糊拟阵模糊基的性质，找到了闭模糊拟阵模糊基的充要条件和几个推论，最后还给出了求模糊基的算法； 3研究了闭模糊拟阵模糊圈的性质，找到了用基本序列来表达模糊圈的几个充要条件，并给出了求模糊圈的算法； 4研究了闭正规模糊拟阵的基本序列，找到了闭正规模糊拟阵的基本序列的几个充要条件。

Thus, on this line of reasoning, existence isn''t a great-making property because it is not a property at all; it is rather a metaphysically necessary condition for the instantiation of any properties.

因此在推理的这根线上，因为它根本不是一个性质，存在不是一个大做的性质；它是为任何性质的实例化的一个先验地必要的条件。

The chapter Ⅴis divided into two parts, it examines the legal nature of trade association, elaborate the legal right of the trade association, including the right of rules making、supervision power、nonlegal penalty right and dispute dissolving right. These rights are absolute necessary to the development of trade association.

在法律规制内容上要明确一般业协会作为私法领域经济类社团法人的性质以及特殊行业协会作为公法领域社团法人的性质，准确把握作为社会权力范畴的行业协会行业管理权的性质赋予其规章制定权、运行监管权、争端解决权等各项基本管理权力，同时对其规章制定权设立司法审查制度，对其运行监管权等权利进行反垄断限制，保证其权力的恰当行使。

At the same time,comparing the properties and applications of orthogonal matrix,we discuss the properties and applications of the generalized orthogonal matrix.

对照实数域上正交矩阵的性质和应用的研究，讨论了复数域上酉矩阵的性质以及应用。

A series of so-called hairy-rod fluorene-alt-benzene based polymers with different substituted groups on phenylene were synthesized through Suzuki route.

通过光谱、电化学和模拟计算等手段研究了苯环上不同性质的侧基取代芴苯聚合物的发光性质、电化学性质和溶剂化效应等，同时研究了侧基性质的变化对这些物理性质的影响规律。

This thesis includes two parts. One part studied the two photon excited luminescent properties of thirty pyridinium compounds in solution, another part studied the two photon excited luminescence properties of HMASPS and HEASPS in polymer matrix.

论文分为两个部分：第一部分研究的是吡啶盐溶液的双光子上转换性质，第二部分研究的是吡啶盐HMASPS和HEASPS在聚合体系中的双光子上转换性质。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。