axiomatic approach

euclidean geometry is not only the leader of the civilization of ancient greek but also the brilliant achievements of axiomatic approach in mathematics.

以《几何原本》为代表的欧氏几何是古希腊文明的一个火车头，是古代数学公理化方法的一个辉煌成就。

up to a point the axiomatic approach worked.

公理化方法在某一程度上有效。

The crowning achievement of the axiomatic approach is the theory of perfect competition.

公理化方法的最高成就就是完全竞争理论.

first of all, euclidean geometry and its axiomatic approach are introduced in brief. then, euclidean geometry is analyzed from point of view of culture and its human value, aesthetic value and applied value are discussed.

文章简要介绍了欧氏几何及其公理化方法，并从文化的角度对其进行分析，探讨了欧氏几何的人文价值，美学价值和应用价值。

in this paper, dynamic nonsmooth bargaining problem is considered through an axiomatic approach in detail. necessary condition for its nash bargaining solution is established by the theory of nonsmooth analysis, and the strict mathematical proof is given.

本文利用非光滑分析理论，采用公理化方法研究了非光滑情形下的动态协商对策问题，给出其Nash协商解的必要条件，并给予了严格的数学证明。

different classes of rough fuzzy set algebra are obtained from different types of binary crisp relations. in the axiomatic approach, one defines a pair of dual rough fuzzy approximation operators and states that axioms must be satisfied by the operators.

在公理化方法中，用公理形式定义了粗糙模糊近似算子，各种类型的粗糙模糊集代数可以被各种不同的公理集所刻画。