Thread:Littlemanbeingerased/@comment-3017217-20141201211846

Garen...

I extensivelly discussed those with ClariS !!!

I initially had the same mistaken belief as you do and supported the claim they applied to armour&magir resistance.

Nonetheless "A process has diminishing returns when the second derivative (which shows the curvature ,convex if positive, concave if negative) of the function is negative."DR. Flytzanis Ilias Professor Emeritus in Athens University of Economics and Business, instructor of Mathematical Analysis for Economists I (first semester out of 8 in the Economic Sciences faculty)

Effective Health is the inverse of Damage Multiplier

y = (100 + x)/100

y' = 0.01

y = 0 ''

If you consider your output the Effective Health the Returns are Equal

What does apply Diminishing Returns is the Damage Multiplier

z = - 100/(100 + x)

z' =  100/ (100 +x)^2

z'' = - 200/ (100 +x)^3

But the thing is Garen gets bonuses from Courage and Enchanted Armor which I believe multiply to stack 1.2 x 1.05 = 1.26 to bonus stats.

Base Armour = 74

Base MR = 54

Allow me to take an average 64 which multiplied with 0.26 gives us 17

100 - 17 = 83

So

z for garen = - 100 / (83 + 1.26x)

z'' = - 317.52 / (1.26x + 83) ^ 3

Thereso IS in fact concave but on a much slower rate!

And well it should be obvious that Garen gets more effective health than others even though his Returns are not Increasing either! 