Based on the axiomation , the theory of probability has achieved a series of breakthroughs in theories 在公理化基础上，现代概率论取得了一系列理论突破和迅速发展。
Taking a paper - smoothing machine as a design case study , the co - evolution of dm and dsm is described in detail 最后通过轧纸机构设计实例，具体阐述了公理化设计矩阵与设计结构矩阵同步演化过程。
With the daily development of a technical , axiomatic and scientific tendency in economics , the mainstream economics in the 20th century has gradually lost its ethic perspective 随着经济学日益技术化、公理化和科学化， 20世纪的主流经济学逐步丧失了道德伦理视野。
So it can be thought that dealing with game problems aximatized and the advancing and proving of minimax theory were the two key elements for the foundation of game theory 也可以认为博弈问题的公理化处理和极小极大值理论的提出与证明是博弈论创立的关键所在，或者说是博弈论创立的一个标志。
The characteristics of the reform include that geometric curriculum still possesses traditional axiom system , direct geometry which cares students ' development and the goal of geometric study become polarization 改革的特征是：几何课程仍然具有传统的公理化体系；关注学生发展的直观几何；几何课程学习的目标两极化。
The author stresses the two thought approaches between ancient math mechanization and western axiomatization , and their leading and alternative role in the stages of math development in the world 特别论述了中国古代传统数学的机械化思想方法与西方的公理化思想方法在整个世界数学发展的不同阶段中交替起著主导作用，不可偏废。
After introducing the logic and establishing its relationship to the formal model of multi - agent system , we put forward an axiomatisation of vsk - af logic , and systematically discuss its rationality 在提出了vsk - af逻辑并且建立了它与多agent系统的形式化模型间的关系后，给出了该逻辑的公理化体系，并对其合理性进行了充分的阐述。
Furthermore , the axiom system of risk is shown and the axiomatized criterion of general financial risk measurement is proposed . therefore , various risk measurement can be brought into this uniform framework to discuss 进一步明确了风险度量的公理系统,总结提出了风险度量的公理化标准,使得各种风险度量都可以纳入到这个统一的框架内进行讨论。
While the chinese ancient maths culture is on the culture layer of application and skills ? the material culture layer . in terms of the thinking pattern , the characteristics of chinese maths is practical , calculative , inductive and modelized 就思维模式来说，中国数学的特点是实用性、计算性、归纳性及模型化；西方数学的特点是演绎性、抽象化、公理化及思维创造性。
In fact , it was with the help of acclimatization that it was able to turn common game problems into math problems , which provided game problems with strict math foundation and made it possible to be a strict science 实际上冯?诺伊曼正是借助公理化的方法才使得一般的博弈问题转化成数学问题成为可能，这也使得博弈问题的处理有了严格的数学基础，并有可能成为一门较严格的科学。
