User:Conrad c

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Stacking penalties

Formula

S(n) = stacking penalty for the n:th module


S(n) = 0.5^[((n-1) / 2.22292081) ^2]

or, equivalently,

S(n) = 2^(-0.20237274238855663*(n-1)^2)


n S(n)
1 1
2 0.86912
3 0.570583
4 0.282955
5 0.105993
6 0.0299912
7 0.00641018
8 0.00103492






Specific cases

m1 = first module


m2 = second module

mn = n:th module

They must be ordered: m1 > m2 > ... > mn

value = the value of the stat being modified


Damage = (1 + m1*S(1)) * ... * (1 + mn*S(n)) * value



ROF = (1-m1*S(1)) * (1-m2*S(2)) * ... * (1-mn*S(n)) * value


Harderners:
Resistance = 1 - (1-m1*S(1)) * (1-m2*S(2)) * ... * (1-mn*S(n)) * (1 - value)

Harderners modifiy not the resistance, but the amount of damage let through.