Player rating for tournaments across all installments of Heroes.

I tried to explain the essence of this correction in post 612. If such a notation causes intuitive misunderstanding and rejection, it can easily be replaced with
∑(Ri)+20(or 30)*n(a)
. I repeat, physically it is almost the same. If it is simpler and clearer this way, then let it be so, from now on, in all discussions, we will use this calculation, but we will specify the beginner's rating. After all, the main idea is clear: each participant increases (linearly, but not significantly) the tournament coefficient.

The problem is that we have a misunderstanding of the notation format, and from this, all other discrepancies arise in the discussion. Let me explain.

1. ∑(Ri)+20*n(a) = R(1)+R(2)+...+R(i-1)+R(i)+20*n(a)
This is exactly how I understand the algebraic notation of the formula and propose this method of interpreting it.

2. Your version:
∑(Ri+a)+20*n(a) = R(1)+20+R(2)+20+...+R(i-1)+20+R(i)+20+20*n(a)

That is, you each time consider 20 as an addend when forming the expansion of the formula into a series... This is not correct.

That is, you are not taking into account the parentheses in the formula notation again:

∑(Ri)+20*n(a) is not equal to ∑(Ri+20)