摘要
研究了线性空间中代数闭包和向量闭包的关系,给出了凸集的代数闭包是凸集的新证明,利用代数闭包与向量闭包的关系,得到了一个涉及向量闭包的分离定理。
Firstly, the relation between the algebraic closure and the vector closure is studied. Sec ondly, a new proof that the algebraic closure of the convex set is convex is given. Finally, by the relation between the algebraic closure and the vector closure, a separation theorem involving the vector closure is obtained
出处
《重庆理工大学学报(自然科学)》
CAS
2013年第1期116-118,共3页
Journal of Chongqing University of Technology:Natural Science
基金
重庆理工大学高等数学课程建设和团队建设专项经费资助项目(0101129001)
关键词
代数闭包
向量闭包
分离定理
algebraic closure
vector closure
separation theorem