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The location of the maximum of UHK(M)−LHK(M) on [1/k, 1/(k−1)], when k = ⌈4K/(K + 3)⌉. The table is part of the statement of Proposition 14.
| K | k = ⌈4K/(K + 3)⌉ | Location of maximum of UHK(M) − LHK(M) on [1/k, 1/(k −1)]
|
|
|---|---|---|---|
| Interval endpoint | Value | ||
| 3 | 2 | 1/k | 1/2 |
| 4 | 3 | 1/(k − 1) | 1/2 |
| 5, 6, 7, 8, 9 | 3 | 1/k | 1/3 |
| 10, 11,…, 18 | 4 | 1/(k − 1) | 1/3 |
| ≥ 19 | 4 | 1/k | 1/4 |
