过渡现象及其理论

Transition Phenomenon and its Theory

过渡是自然界和日常生活中普遍存在的现象,它是科学研究、工程技术和社会管理中必须面对的问题。介绍了过渡现象研究的历史及现状,并分别采用传递性、区间和逻辑方法描述了过渡的一般概念。引入了左区间符【和右区间符】,并提出区间邻接概念,并采用这些概念定义了过渡,讨论了过渡的基本特征:过渡变量、过渡区域、始点、增型过渡和减型过渡等内容。另外,还展望了过渡的研究方向,这些方向的研究成果将初步形成有关"过渡"的知识结构。

Transition is a universal phenomenon in nature and everyday life, and it is the problem confronting people in science research, technology innovation and social management. This paper introduced research history and status on transition phenomena,and respectively used transitive relation, interval and logical predicate to characterize the general concept of transition. We introduced two symbols,〖 and 〗 , for describing interval, and presented interval adjacency. With these concepts, we defined a transition, and discussed its essentials, including the transition variable, transition area, beginning point,increasing transition and decreasing transition. Additionally, we presented a perspective of studying transition,such as transition logic,application-oriented method quantifying transition phenomenon, etc. , and the results of above---mentioned contents will initially form a knowledge system on transition.