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Inequalities for a Simplex and an Interior Point
Authors:Leng Gangsong  Ma Tongyi  Qian Xiangzheng
Affiliation:(1) Department of Mathematics, Hunan Normal University, Changsha, 410081, P.R. China;(2) Department of Mathematics, Zhangyie Normal College, Gansu, 734000, P.R. China;(3) Department of Applied Mathematics, Hunan University, Changsha, 410082, P.R. China
Abstract:We establish some inequalities for the inradius, circumradius and distances between an interior point and facets of an n-simplex, and prove a recursion inequality for the radii of the circumscribed spheres of an n-simplex and its facets.
Keywords:simplex  distance  volume  inequality
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