苏州科技大学学报（自然科学版）2018，Vol.35Issue(1)：16-20,32,6.DOI:10.12084/j.issn.2096-3289.2018.01.004
对偶平均Minkowski对称度在Minkowski-临界点处的精确值
The value of dual mean Minksowski measure of symmetry at the critical Minkowski points of a convex body
摘要
Abstract
We investigated the properties of the dual mean Minkowski measure functions of symmetry,in particular, the existence of critical n-support configurations and the value of the nth-dual mean Minkowski measure functions at the critical Minkowski points of a convex body.First,we established a theorem of Helly for families of half-spaces. Then with the help of this theorem,we confirmed the existence of critical n-support configurations.Finally,in terms of the Minkows-ki measure of asymmetry,we gave a formula for the precise value of the dual mean Minkowski measure functions at the critical points of a convex body.关键词
Minkowski对称度/对偶平均Minkowski对称度/临界点/临界支撑架Key words
Minkowski measure of symmetry/dual mean Minkowski measure of symmetry/critical point/critical support configuration分类
数理科学引用本文复制引用
刘建国,国起..对偶平均Minkowski对称度在Minkowski-临界点处的精确值[J].苏州科技大学学报（自然科学版）,2018,35(1):16-20,32,6.基金项目
国家自然科学基金资助项目(11271282 （）
11671293) （）
