公理

Although so,the research on weakening completeness axiomof preference relation is hardly found in touchable references.

主要集中于对Von Neumann-Morgenstern的独立性公理假设和偏好关系传递性假设方面的弱化，比如不要求独立性和传递性等，从而使新的行为公理假设既能够满足实际中人们的选择行为，同时又能满足规范理论的要求。

However,there are few academic works and study related tothe exact position of privity of contract in contract law in China.

债的相对性被认为是债的公理之一，作为债的相对性延伸概念的合同相对性自然也被认为是公理。

Trairūpya is not the rule of avayava and reasoning but logic axiom of new-Hetuvidyā and it is the footstone of Hetuvidyā.

从逻辑公理与逻辑规则在根本性质、地位和作用、概括性和稳定性的比较中可看出，因三相体现着逻辑公理的性质和特点，而没有表征逻辑规则的性质和特征，因此学术界将因三相当作逻辑规则是不妥当的。

The dissertation studies weakening the rational behavior axioms andutility expression of expected utility theory.

本文的研究着重于期望效用理论的公理弱化及其相关的效用表示问题，特别是有关格序偏好结构理论的研究成果在作者可获取的文献内未见涉及，其他有关理性行为公理弱化的研究在国内也极少，本文较为系统的研究成果在一定程度上填补了这一研究领域的空白。

In the fist part, considering the game theoretical aspect of generalized Cohen's forcing C in dependence of ideal / on ω, Generalized a result of Sharp in Combinatorics on Ideals and Axiom A(The Journal of Symbolic Logic,1994), we argue that if J is a regular p*-ideal then C do not satisfy Axiom A.

第一部分通过讨论ω上的理想J的广义Cohen's力迫C的博弈论性质，我们推广了Sharp在论文Combinatorics on Ideals and Axiom A(The Journal of Symbolic Logic，1994)中的一个主要结果——如果U是一个超滤，则其对偶理想J=U~*所作成的广义Cohen's力迫C不满足力迫公理A，我们进一步证明了如果J是一个正则的p~*-ideal则C不满足力迫公理A。

Experiment 1 (chapter 6), adopting procedures of the binary lottery games, with leading elements of information conditions into the practice, tested Nash bargaining model systematically and found that, under complete information conditions, axiom 4 was obviously rejected and axiom 3 which was reproachable to some extends, however was supported and therefore Raiffa solution was not observed; And associated with those, significant effect of information conditions and effect of interpersonal payoff comparisons with bargaining behaviors were founded.

结果发现，在完全信息条件下，公理4遭到明显拒绝；而引起一定程度上非议的公理3却能获得支持，故也未观测到Raiffa解的存在；与此相关，发现了议价者行为上的显著的信息条件效应和人际支付比较效应；在此基础上，作者对Nash议价模型进行了修正。

Some new basic concepts are proposed in this paper, including the approximation space of generalization, rough approximation axiom, disturbance set axiom, classification principle of rough set, principle of nondeterministic even set, principle classification, bit quantum symmetric classification, of concentration, game classification, quantum logic incomparable set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc., and a guess is also proposed.

提出了广义近似空间、粗近似公理、干扰集公理、粗糙集的分类原则、粗选原则、不确定偶集原则、精选原则、对策分类、量子逻辑分类、bit量子对称分类、不可比集、bit空间集、协议关系、粗糙集函数、粗糙分类代数和粗糙单代数等基本概念，并提出了一个猜想；展示了一些新观点；基于协议关系构造了粗糙商代数和粗糙子代数，给出了回避-归并算法及算例。

Since Von Neumann and Oskar Morgenstern put forward the set ofrational behavior axioms in 1944,the linear expected utility theory that is themost important theoretical base of modern decision-making science has madegreat progress,and a lot of research achievements have been obtained in thisfield.

1944年Von Neumann和Morgenstern提出期望效用的公理体系，即&理性行为公理&后，作为现代决策科学最重要的理论基础的期望效用理论，得到了巨大发展，并取得了许多重要的研究成果。

After proposing a data model of unordered node labeled tree for XML databases,this paper defines a functional dependency among XML subtrees.In addition,an axiom system to infer functional dependency is given.Moreover,the soundness is proven.

在无序的结点标记树数据模型上定义了XML子树间的函数依赖，并且给出了一套公理系统用来推导函数依赖，以解决函数依赖的蕴涵问题，最后证明了该公理系统是合理的。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。