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正七边形与单形的位似距离
引用本文:卞振兴,国起.正七边形与单形的位似距离[J].长春大学学报,2011(2):64-66.
作者姓名:卞振兴  国起
作者单位:苏州科技学院数学系
基金项目:江苏省高校自然科学基金资助项目(08KJD110016)
摘    要:引进了与凸体间Banach—Mazur距离相关的位似距离的概念,证明了平面上正七边形与其面积最大内接单形之间的位似距离近似为2.0489。

关 键 词:Banach-Mazur距离  位似距离  凸体  单形

Homothetic distance between regular heptagon and simplex
BIAN Zhen-xing,GUO Qi.Homothetic distance between regular heptagon and simplex[J].Journal of Changchun University,2011(2):64-66.
Authors:BIAN Zhen-xing  GUO Qi
Institution:(Department of Mathematics,Suzhou University of Science and Technology,Suzhou 215009,China)
Abstract:The concept of homothetic distance which is very close to Banach-Mazur distance between convex bodies is introduced, and the homothetic distance between regular heptagon and simplex is shown as 2. 0489.
Keywords:Banach-Mazur distance  homothetic distance  convex body  simplex
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