构造一个具有拟凸性和拟齐次性的拟距离

Construct a Quasi-Distance Equipped with Quasi-Convexity and Quasi-Homogeneity

本文首先介绍了n维欧氏空间上拟距离的定义,然后引入了相关拟距离的两类性质:拟凸性和拟齐次性;最后构造了一个满足拟凸性和拟齐次性的拟距离的映射.

In this paper,we first introduce the definition of quasi-distance in n dimensional Euclidian space.Then introduce two kinds of properties related to quasi-distance:quasi-convex property and quasi-homogeneous property.Finally,the authors further verify that a mapping of vector field is a quasi-distance satisfying the above two characteristics.