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...
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Άρθρο |
| Γλώσσα: | English |
| Έκδοση: |
Wiley
1982-01-01
|
| Σειρά: | International Journal of Mathematics and Mathematical Sciences |
| Θέματα: | |
| Διαθέσιμο Online: | http://dx.doi.org/10.1155/S0161171282000647 |