So the delta formula is sqrt(YourUA/TheirUA) this would allow for an infinite amount of delta as you having 100 UA and an alt jumping at you would have 1 UA resulting in a 10 delta this becomes problematic so Loftar changed it so theirs a cap. But he said the following: (on the 3 page in the announcements)
loftar wrote:cloakblade wrote:So is it 1.0 delta multiplier or 2.0?
The cap is 1.0 right now, but it will be 2.0 after the next server restart.
So right now I believe it to be capped at 2.0 sense I assume a server restart is not the same as a world restart.
Now let me share my mathematical proof from top to bottom.
The sum of continuous numbers from 1 to X can be show as: f(x) = 0.5 * X * (X+1)
The first point is free in the skills system in Haven so: s(x) = 0.5 * X (X + 1) -1
In order to find a vertex we need to be able to make there be only 1 instance of X (at least the way I know how):
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s(x) = 0.5 * x(x + 1) - 1 =
0.5 x^2 + 0.5x - 1 = By distributing the 0.5 * X now we need to create a perfect square so there is one instance of X
0.5(x^2 + x - 2) = So (X+Y)^2 = X^2 + 2YX + Y^2, so we need the constant (currently - 2) to be equal to sqrt(0.5) = .025, 0.5 being half of the
0.5(x^2 + x + 0.25 -2.25) = coefficient of the middle term
0.5(x^2 + x +0.25) - 1.25 = When moving the 2.25 outside of the parenthesis you must multiply it by the 0.5
0.5(x + 0.5)^2 - 1.25
Now there is only one X so we can find the inverse, the best way I know this is to switch the input (x) and the output (s(x)) and then solver for the output (s(x)). u(x) will be the name of the function so I'll be using it and solving for it here:
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x = 0.5(u(x) + 0.5)^2 - 1.125
x + 1.125 =0.5(u(x) + 0.5)^2
2x +2.25 = (u(x) +0.5)^2
sqrt(2x + 2.25) = u(x) + 0.5
u(x) = sqrt(2x+2.25) - 0.5
Its not the perfect inverse as the original function had an negative half but we don't need that for what we are doing.
Melee combat has half the LP to spend on each skill. In u(x) x is the amount of LP one has so m(x) = u(.5x) = sqrt(x+2.25) - 0.5
If you want I can undo the code I don't know if it helps you read it or not.
Edit: @ TechX: Its was more of a joke to say success but I just want to try and diversify the current combat of pure UA and maybe help see why Melee is lacking.
A.K.A. Suddo