| 毛其吉,左铨如.切于已知球的单形宽度[J].数学研究及应用,1989,9(1):14~16 |
| 切于已知球的单形宽度 |
| The Width of Simplex with Its Faces Contacted With the Given Sphere |
| 投稿时间：1986-05-29 |
| DOI：10.3770/j.issn:1000-341X.1989.01.003 |
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| Let w(△n) denote the width of a non-degenerate simplex △n in En and r(△n) denote the inradius of the simplex.Then, in this paper, we prove the ine-qunlity as below: Theorem:w(△n)≤βnr(△n) where βn =(n1/2(n+1))/([(n+1)/2]1/2(n+1-[(n+1)/2])1/2) The equality holds if and only if the simplex is regular. |
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