Thread:ClariS/@comment-3017217-20141026134417/@comment-3017217-20141029202841

This was the first part

SO  H2 = H1 x (100 + a) / 100 ?

Double the armour = 2a ( 2a / a = 2)

I will note the difference by using roman numerals

Hii = Hi x (100 + 2a) / 100

We divide the equation by members since we are not dividing by 0

H2 / Hii = H1 x (100 + a) / Hi x (100 + 2a)

H1=Hi ceteris paribus so H1 / Hi = 1

H2 / Hii = (100 + a) / (100 + 2a)

2 x H2 / Hii = (100 + a) / (50 + a)

and now I am too tired for a straight demonstation but I want to demonstrate 2a =/= 2xH2

I will resort to proof by contradiction

Should the function be a line inclination=ratio since b=0 -> Hii=2xH2

2 x H2 / 2 x H2 = (100 + a) / (50 + a)

1 = (100 + a) / (50 + a) Reduction ad absurdum

The function is not linear quod erat demonstrandum

The above shows the lack of linearity towards effective health but it does not confirm I am correct either (Dimishing Returns).........