函数组的广义仿射线性相关性及其推广  

The generalized affine linear correlation of function group and the forms of promotion

作　　者：孙爱慧[1] 程晓亮[1] 吴秀兰[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《东北师大学报（自然科学版）》2016年第1期5-7,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11301215);吉林省青年科研基金资助项目(20130522094H)

摘　　要：给出了函数组广义仿射线性相关与强仿射线性相关等概念,得到了函数组及其导函数组广义仿射线性相关的充要条件和必要条件,证明了函数组线性相关与仿射线性相关等价的条件.The present paper puts forward the concepts on generalized and strongly generalized affine linear correlation of function group.Some sufficient and necessary conditions are deduced to judge the generalized or strongly generalized affine correlation between the function group and its derivatives,as well as a necessary and sufficient condition on linear correlation and affine linear correlation of function group.

关 键 词：函数组 线性相关 强线性相关 广义仿射线性相关 强广义仿射线性相关 

分 类 号：O151[理学—数学]