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Theory and Modern Applications

Table 2 Extreme values of contour functions where k is known

From: Some certain properties of the generalized hypercubical functions

Dimension k

Optimal dimension n 0

maxHC

Error

0

3.461632145

1.129017388

6.619 × 10-15

1

2.461632145

2.258347771

3.818 × 10-14

2

1.461632145

9.033391083

-3.179 × 10-12

3

0.461632145

54.20034650

-2.964 × 10-11

4

0

384

0

. . .

. . .

. . .

. . .

j

0

2 k Γ ( j + 1 ) Γ ( j - 2 )

0

. . .

. . .

. . .

. . .

k

0

2 n Γ ( n + 1 ) Γ ( n - 2 )

0