Variants: Group 202

Note: the ^ symbol means “power”.

1. Variant

   f0(a, b, c, d) = MAX(a, b, c, d)
   f1(x) = -9*x^3 + 7*x^2 - 3*x - 3
   f2(x) = sin(7*x)*(-4) - 6
   f3(x) = (-4)^x - 6
   f4(x) = 1 / (1 + e^(9*x))
   

2. Variant

   f0(a, b, c, d) = MAX(a, b, c, d)
   f1(x) = 4*x^3 - 3*x^2 + 9*x + 7
   f2(x) = sin(-9*x)*6 + 1
   f3(x) = (-5)^x - 6
   f4(x) = 1 / (1 + e^(5*x))
   

3. Variant

   f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
   f1(x) = 8*x^3 + 1*x^2 + 6*x - 8
   f2(x) = sin(3*x)*(-3) - 2
   f3(x) = 3^x + 4
   f4(x) = 1 / (1 + e^(4*x))
   

4. Variant

   f0(a, b, c, d) = MAX(a, b, c, d)
   f1(x) = -8*x^3 - 7*x^2 - 1*x + 4
   f2(x) = sin(4*x)*9 + 6
   f3(x) = 6^x - 1
   f4(x) = 1 / (1 + e^(1*x))
   

5. Variant

   f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
   f1(x) = 5*x^3 + 9*x^2 - 8*x - 2
   f2(x) = sin(2*x)*9 - 1
   f3(x) = 3^x + 2
   f4(x) = 1 / (1 + e^(3*x))
   

6. Variant

   f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
   f1(x) = -9*x^3 - 2*x^2 - 3*x - 2
   f2(x) = sin(-1*x)*4 + 1
   f3(x) = 3^x - 6
   f4(x) = 1 / (1 + e^(-6*x))
   

7. Variant

   f0(a, b, c, d) = MIN(a, b, c, d)
   f1(x) = 5*x^3 + 1*x^2 + 8*x - 8
   f2(x) = sin(2*x)*2 - 5
   f3(x) = (-9)^x - 3
   f4(x) = 1 / (1 + e^(6*x))
   

8. Variant

   f0(a, b, c, d) = MIN(a, b, c, d)
   f1(x) = -6*x^3 - 6*x^2 + 4*x + 4
   f2(x) = sin(4*x)*3 - 3
   f3(x) = (-9)^x + 3
   f4(x) = 1 / (1 + e^(-4*x))
   

9. Variant

   f0(a, b, c, d) = MIN(a, b, c, d)
   f1(x) = 2*x^3 - 2*x^2 + 3*x - 9
   f2(x) = sin(-6*x)*8 - 3
   f3(x) = (-2)^x + 3
   f4(x) = 1 / (1 + e^(8*x))
   

10. Variant

    f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
    f1(x) = 8*x^3 - 4*x^2 + 2*x - 2
    f2(x) = sin(5*x)*(-8) + 9
    f3(x) = (-7)^x + 4
    f4(x) = 1 / (1 + e^(-5*x))
    

11. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = -4*x^3 + 4*x^2 - 7*x + 2
    f2(x) = sin(-3*x)*9 - 8
    f3(x) = 8^x + 2
    f4(x) = 1 / (1 + e^(9*x))
    

12. Variant

    f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
    f1(x) = -8*x^3 + 9*x^2 - 5*x - 5
    f2(x) = sin(-2*x)*(-5) + 9
    f3(x) = 3^x + 6
    f4(x) = 1 / (1 + e^(-5*x))
    

13. Variant

    f0(a, b, c, d) = MAX(a, b, c, d)
    f1(x) = -1*x^3 + 1*x^2 + 6*x - 6
    f2(x) = sin(-4*x)*(-5) - 6
    f3(x) = (-4)^x - 9
    f4(x) = 1 / (1 + e^(1*x))
    

14. Variant

    f0(a, b, c, d) = MAX(a, b, c, d)
    f1(x) = 5*x^3 - 1*x^2 - 3*x + 2
    f2(x) = sin(9*x)*(-8) - 8
    f3(x) = (-2)^x - 8
    f4(x) = 1 / (1 + e^(8*x))
    

15. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = 8*x^3 - 8*x^2 - 5*x - 8
    f2(x) = sin(3*x)*4 + 6
    f3(x) = (-2)^x - 2
    f4(x) = 1 / (1 + e^(3*x))
    

16. Variant

    f0(a, b, c, d) = MAX(a, b, c, d)
    f1(x) = 2*x^3 - 9*x^2 + 5*x + 1
    f2(x) = sin(-7*x)*(-3) - 3
    f3(x) = 4^x + 4
    f4(x) = 1 / (1 + e^(5*x))
    

17. Variant

    f0(a, b, c, d) = MAX(a, b, c, d)
    f1(x) = 1*x^3 + 9*x^2 - 4*x - 7
    f2(x) = sin(-1*x)*(-3) + 5
    f3(x) = (-6)^x - 5
    f4(x) = 1 / (1 + e^(-2*x))
    

18. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = 4*x^3 + 6*x^2 + 2*x + 4
    f2(x) = sin(3*x)*6 + 3
    f3(x) = (-2)^x + 9
    f4(x) = 1 / (1 + e^(-9*x))
    

19. Variant

    f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
    f1(x) = 7*x^3 + 8*x^2 + 7*x - 3
    f2(x) = sin(5*x)*(-8) + 2
    f3(x) = 4^x + 4
    f4(x) = 1 / (1 + e^(-1*x))
    

20. Variant

    f0(a, b, c, d) = MIN(a, b, c, d)
    f1(x) = -8*x^3 - 5*x^2 - 5*x + 7
    f2(x) = sin(-5*x)*(-1) - 9
    f3(x) = 5^x - 5
    f4(x) = 1 / (1 + e^(-1*x))
    

21. Variant

    f0(a, b, c, d) = MAX(a, b, c, d)
    f1(x) = 4*x^3 + 7*x^2 - 1*x - 8
    f2(x) = sin(5*x)*9 - 4
    f3(x) = 5^x + 9
    f4(x) = 1 / (1 + e^(6*x))
    

22. Variant

    f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
    f1(x) = -5*x^3 + 1*x^2 + 6*x + 3
    f2(x) = sin(7*x)*(-7) + 1
    f3(x) = (-8)^x + 2
    f4(x) = 1 / (1 + e^(9*x))
    

23. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = 4*x^3 - 3*x^2 + 1*x - 5
    f2(x) = sin(-6*x)*4 + 6
    f3(x) = (-7)^x + 6
    f4(x) = 1 / (1 + e^(8*x))
    

24. Variant

    f0(a, b, c, d) = AVG(a, b, c, d) = (a + b + c + d) / 4
    f1(x) = 5*x^3 + 4*x^2 + 8*x + 1
    f2(x) = sin(8*x)*(-4) + 8
    f3(x) = 4^x - 5
    f4(x) = 1 / (1 + e^(-7*x))
    

25. Variant

    f0(a, b, c, d) = MAX(a, b, c, d)
    f1(x) = 3*x^3 + 1*x^2 + 1*x + 9
    f2(x) = sin(-4*x)*4 + 6
    f3(x) = 7^x - 9
    f4(x) = 1 / (1 + e^(-8*x))
    

26. Variant

    f0(a, b, c, d) = MIN(a, b, c, d)
    f1(x) = 5*x^3 - 2*x^2 - 5*x + 5
    f2(x) = sin(-2*x)*(-4) + 8
    f3(x) = (-3)^x + 4
    f4(x) = 1 / (1 + e^(-5*x))