变拓扑机构理论的基本问题

BASIC PROBLEMS OF THE THEORY FOR THE VARIABLE TOPOLOGY MECHANISMS

研究了变拓扑机构理论的三个基本问题:变拓扑机构的定义、变拓扑机构的基本变拓扑方式及其相关性。主要以图论和点形图理论为工具,在定义机构拓扑结构、机构理想化、理想机构、机构的元和变元集等新概念基础上,提出了变拓扑机构新概念,并给出了严谨的数学定义。提出了变拓扑机构的三种基本变拓扑方式,准确表述了三种基本变拓扑方式的内涵。基本变拓扑方式是变拓扑机构拓扑结构变化的基本原理之一。依据该基本原理, 发现、提出并充分证明了变拓扑机构基本变拓扑方式的两个相关性定理及其三个推论。

Three basic problems of the theory for the variable topology mechanisms are explored： the definition of the variable topology mechanism, basic changing topology ways of the variable topology mechanisms and their correlativity. The new concept of the variable topology mechanisms is put forward based on the graph theory and vertex-figure graph theory after the new concepts such as the topological structure of a mechanism, the mechanism ideaization, the ideal mechanism, the element of a mechanism and the variable set etc. are defined. And the strict mathematical definition of the variable topology mechanism is given. Three basic changing topology ways of the variable topology mechanisms are represented accurately. It is one of the fundamental principles of the topological structure changing of the variable topology mechanisms. According to that, two correlativity theorems and three corollaries of basic changing topology ways of the variable topology mechanisms are discovered, put forward andproved strictly.