Umbrellas and Polytopal Approximation of the Euclidean Ball

Umbrellas and Polytopal Approximation of the Euclidean Ball
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欧几里得球的伞形和多面近似

DOI:
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发表时间:
1996
期刊:
影响因子:
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通讯作者:
Carsten Schutt
Carsten Schutt
中科院分区:
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文献类型:
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作者:
Y. Gordon;S. Reisner;Carsten Schutt

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存在两个正的绝对常数sc 1和c 2,使得d维欧氏球Bd 2与n个顶点的内接多面体的差集的体积大于c1 dvold(Bd 2)n?2/(d?1)forn?(c2d)(d?1)/2.
There are two positive, absolute constantsc1andc2so that the volume of the difference set of thed-dimensional Euclidean ballBd2and an inscribed polytope withnvertices is larger thanc1dvold(Bd2)n?2/(d?1)forn?(c2d)(d?1)/2.