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Table 1 Minimum cube surface for optimal dimension and various degrees of freedom

From: Some certain properties of the generalized hypercubical functions

Dimension n Optimal dimension k 0 minHC Error
-1 2.680571494 -6.2786205562 4.293 × 10-12
0 1.648207317 -1.1780735642 1.940 × 10-11
1 0.584187070 -0.3641730147 -1.836 × 10-12
2 -1.442695041 -0.5307378454 5.191 × 10-13
3 -∞ 0 0
. . . . . . . . . . . .
i -∞ 0 0
. . . . . . . . . . . .
n -∞ 0 0