Covering a ball with smaller equal balls in R
نویسنده
چکیده
We give an explicit upper bound of the minimal number νT,n of balls of radius 1/2 which form a covering of a ball of radius T > 1/2 in R , n > 2. The asymptotic estimates of νT,n we deduce when n is large are improved further by recent results of Böröczky Jr. and Wintsche on the asymptotic estimates of the minimal number of equal balls of R n covering the sphere S. The optimality of the asymptotic estimates is discussed.
منابع مشابه
Covering a Ball with Smaller Equal Balls in Rn
We give an explicit upper bound of the minimal number of balls of radius 1/2 which form a covering of a ball of radius T > 1/2 in R, n > 2.
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تاریخ انتشار 2008