Juli wrote: So it is actually a mislabeled "All Defenses" stat. The approximation I use for the effect of Defense is AR * 0.9 - DEF * 0.5. It gets a little more complicated when AR drops below DEF, but while AR > DEF, this has always been accurate for me within a few points of damage. 273 * 0.9 - 224 * 0.5 = 133. Pretty close to the 130 you got.
Juli wrote:Defense reduces damage by 0.5 per point as long as it is equal to or less than the AR of the incoming attack. As defense rises above the AR of an attack, it experiences diminishing returns. So e.g. 200 defense will reduce the damage of an incoming 200 AR attack by 100. However, 300 defense will not reduce damage of an incoming 200 AR attack by 150, since it experiences diminishing returns. Here's an image I made of the formulas I use:
I'm not positive I got the notation for the sigma correct. The elongated form of the lower formula would be:
m = 0.4ax - (0.5^(1 + 1d/(ax)^2) + 0.5^(1 + 2d/(ax)^2) ... + 0.5^(1 + kd/(ax)^2)) where k = d - ax.
Juli wrote:200 AR vs. 200 Defense would use the top formula. You only use the bottom one if AR < DEF. 200 AR vs. 201 Defense would use the bottom one like so:
0.4*200 - 0.5^(1 + 1*201/200^2)
80 - 0.5^(1 + 201/40,000)
80 - 0.5^1.005025
80 - ~0.49826 = ~79.50174
For 200 AR vs. 202 Defense, it would be
0.4*200 - (0.5^(1 + 1*202/200^2) + 0.5^(1 + 2*202/200^2))
80 - (0.5^(1 + 202/40,000) + 0.5^(1 + 404/40,000))
80 - (0.5^(1 + 0.00505) + 0.5^(1 + 0.0101))
80 - (0.5^1.00505 + 0.5^1.0101)
80 - (~0.49825 + ~0.49651) = ~79.00524
etc., assuming x = 1. It is for most R1 attacks, so I'll assume it is unless stated otherwise.
tbh the last time I took a math class was when I was 13, so I know exactly nothing about calculus. I cannot even parse what you wrote because I have no idea what ∫ means.
Juli wrote:Defense reduces damage by 0.5 per point as long as it is equal to or less than the AR of the incoming attack. As defense rises above the AR of an attack, it experiences diminishing returns. So e.g. 200 defense will reduce the damage of an incoming 200 AR attack by 100. However, 300 defense will not reduce damage of an incoming 200 AR attack by 150, since it experiences diminishing returns. Here's an image I made of the formulas I use:
I'm not positive I got the notation for the sigma correct. The elongated form of the lower formula would be:
m = 0.4ax - (0.5^(1 + 1d/(ax)^2) + 0.5^(1 + 2d/(ax)^2) ... + 0.5^(1 + kd/(ax)^2)) where k = d - ax.
Tsmp wrote:So in other words... the stat labeled "Physical DEF" is actually just the "fuck split damage weapons" stat.
Juli wrote:Tsmp wrote:So in other words... the stat labeled "Physical DEF" is actually just the "fuck split damage weapons" stat.
Seems like it. It'd be nice to see some more data in order to be sure that Physical DEF is actually affecting non-physical damage.
@Astrichthyes: the formulas are almost certainly not what the game uses, but they are useful approximations.
DidoRumbus wrote:Hey astri, quick question -- are you saying that wheel damage scales with beasthood? Or is that 1338 R1 after using a pellet and maxing the beast meter?
I swear I'm going to read this whole thread at some point...
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