4
x 6 − p 5 ⋅ x 5 + p 4 ⋅ x 4 + [ p ] 3 ⋅ x 3 − p 2 ⋅ x 2 + [ p ] 1 ⋅ x + [ p ] 0 , [ p ] 0 = 16.1024 , [ p ] 1 = [ 15.8448 , 16.52 ] , p 2 = 7.872 , [ p ] 3 = [ − 4.0388 , − 3.875 ] , p 4 = 1.0256 , p 5 = 2
5
x 4 + [ p ] 1 3 ⋅ [ p ] 2 ⋅ x 3 + [ p ] 1 2 ⋅ [ p ] 2 2 ⋅ [ p ] 3 ⋅ x 2 + [ p ] 1 ⋅ [ p ] 2 3 ⋅ [ p ] 3 2 ⋅ x 2 + [ p ] 3 , [ p ] 1 = [ 1.15 , 1.65 ] , [ p ] 2 = [ 1.3 , 1.7 ] , [ p ] 3 = [ 0.6 , 1.0 ]
6
[ ( x + 10 ⋅ [ p ] 0 ) 2 − 5 ⋅ ( x − [ p ] 1 ) 2 − ( x − 2 [ p ] 2 ) 4 ] ⋅ e − x 2 + 2 , [ p ] 0 = [ − 1 , 0 ] , [ p ] 1 = [ 0 , 0.5 ] , [ p ] 2 = [ − 0.25 , 0.25 ]
7
y = ( 5 π ⋅ x − ( 5.1 4 ⋅ π 2 ) ⋅ x 2 + a − 6 ) 2 + 10 ⋅ 1 1 − 1 8 π ⋅ cos ( x ) , [ p ] = [ − 2 , 0 ]
8
∑ j = 1 5 { j ⋅ sin ( ( j + 1 ) ⋅ [ p ] + j ) } ⋅ ∑ i = 1 5 { i ⋅ sin ( ( i + 1 ) ⋅ x + i ) } − 10 , [ p ] = [ − 0.1 , 0.2 ]
9
∑ j = 1 5 j ⋅ [ sin ( ( j + 1 ) ⋅ x + j ) + x ⋅ sin ( ( j + 1 ) ⋅ [ p ] + j ) ] , p = [ − 0.1 , 0.2 ]
10
100 ⋅ ( [ p ] − x 2 ) 2 + ( x − 1 ) 2 , p = [ − 5 , 5 ]
11
∑ i = 1 i ≠ 4 7 [ p ] i 2 4000 + x 2 4000 − ( ∏ i = 1 i ≠ 4 7 cos ( [ p ] i i ) + x 2 ) , [ p ] i = 1 , ⋯ , 7 = [ 1 , 2 ]
12
∑ i = 1 8 { Y i ( 1 + 10 ⋅ Z i + 1 ) } + Y 9 ⋅ ( 1 + 10 ⋅ sin 2 ( π ⋅ x ) ) + Z 1 + ( x − 1 4 ) 2 − c , Y i = ( [ p ] i − 1 ) 2 , Z i = sin 2 ( π ⋅ [ p ] i ) , [ p ] i = 1 , ⋯ , 9 = [ 0.9 , 1.1 ] , c = 05341615278415