摘要
对于仿射集和仿射变换提出一些新的概念和性质。对于仿射集，提出了极大仿射无关组的概念，并指出了在平凡与非平凡仿射集中极大仿射无关组与极大线性无关组的关系；对于仿射变换，指出了仿射变换可以由其对一组仿射基的变换来唯一确定。
In this paper,some new concepts and properties abou t affine sets and affine transformations are proposed.For affine sets,the concep t of maximal affinely independent quantities is defined,and we point out the rel ationship between the maximal linearly independent quantities and the maximal af f inely independent quantities in the case of trivial and nontrivial affine sets .For affine transformations,we find that they can be determined uniquely by thei r functions on one affine basis.
出处
《山东科技大学学报（自然科学版）》
CAS
2000年第4期18-21,24,共5页
Journal of Shandong University of Science and Technology(Natural Science)
关键词
仿射集
仿射变换
极大仿射无关组
凸分析
affine sets
affine transformations
maximal linearl y independent quantities
maximal affinely independent quantith
