Quote (dude150 @ Mar 28 2011 03:58am)
induction? dayum bro dat shit is eZ. let me show u it for the HoN player called UniqueDez
We want to prove that for all n>=2, UniqueDez's skill level denoted by n is always less than the skill level of a 1300 public player, denoted by n^2
i) we prove our base case for n = 2
n <= n^2
2 <= 4
so our base holds
ii) assuming n, we use the inductive step to prove for n+1
(n+1) <= (n+1)^2
n+1 <= n^2 +2n +1
n <= n^2 + 2n
which is obviously true for all n>=2
So, by induction, we have proven that UniqueDez sucks at HoN.