A Simple Proof of an Estimate for the Approximation of the Euclidean Ball and the Delone Triangulation Numbers

A Simple Proof of an Estimate for the Approximation of the Euclidean Ball and the Delone Triangulation Numbers
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欧氏球和德龙三角剖数近似估计的简单证明

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
C. Schütt
C. Schütt
中科院分区:
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文献类型:
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作者:
P. Mankiewicz;C. Schütt

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给出了具有给定顶点数的多面体关于对称差度量体积逼近欧几里德球的估计的一个简单证明和Delone三角剖分数的相对精确的估计。对于给定数目的n-1维面,我们也研究了同样的问题。
We give a simple proof of an estimate for the approximation of the Euclidean ball by a polytope with a given number of vertices with respect to the volume of the symmetric difference metric and relatively precise estimate for the Delone triangulation numbers. We also study the same problem for a given number of n-1-dimensional faces.