Sums of distances between points of a sphere
Given N points on a unit sphere in k+1 dimensional Euclidean space, we obtain an upper bound for the sum of all the distances they determine which improves upon earlier work by K. B. Stolarsky when k is even. We use his method, but derive a variant of W. M. Schmidt's results for the discrepancy...
| Published in: | International Journal of Mathematics and Mathematical Sciences |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000647 |