Variants: Group 204

Note: the ^ symbol means “power”.

1. Variant

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

2. Variant

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

3. Variant

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

4. Variant

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

6. Variant

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

7. Variant

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

8. Variant

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

9. Variant

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

10. Variant

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

11. Variant

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

12. Variant

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

13. Variant

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

14. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = -3*x^3 - 9*x^2 - 1*x - 2
    f2(x) = sin(9*x)*5 + 5
    f3(x) = (-9)^x + 4
    f4(x) = 1 / (1 + e^(-2*x))
    

15. Variant

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

16. Variant

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

17. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = -2*x^3 - 4*x^2 + 1*x - 8
    f2(x) = sin(-1*x)*(-7) - 2
    f3(x) = 9^x + 3
    f4(x) = 1 / (1 + e^(-7*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 + 5*x^2 + 1*x + 6
    f2(x) = sin(-5*x)*5 - 8
    f3(x) = (-6)^x + 5
    f4(x) = 1 / (1 + e^(8*x))
    

19. 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 - 4*x^2 - 9*x + 5
    f2(x) = sin(2*x)*(-3) - 4
    f3(x) = 6^x - 1
    f4(x) = 1 / (1 + e^(6*x))
    

20. Variant

    f0(a, b, c, d) = L2(a, b, c, d) = sqrt(a^2 + b^2 + c^2 + d^2)
    f1(x) = -6*x^3 - 1*x^2 - 3*x + 9
    f2(x) = sin(-8*x)*(-8) + 1
    f3(x) = 7^x + 2
    f4(x) = 1 / (1 + e^(-7*x))
    

21. Variant

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

22. Variant

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

23. Variant

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

24. Variant

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

25. Variant

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

26. Variant

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

27. Variant

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

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