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Theory and Modern Applications

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