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Think of it this way: A damage resistance of 100% makes you resist twice the damage (you would take 50% damage). 200% makes you resist three times the damage (you would take 33% damage and so on)
Like similar multiplicative bonuses the formula would be:
Damage taken = Damage / ( damage resistance% +1 )
So if you were to take 100 damage with all these resistances, that would be:
100 / (Rough Rider + Taste of Blood boosted to 10/5 and max bloodlust stacks + release the Beast + numbed nerves 5/5 + 1)
=
100 / (0.2 + 0.75 + 0.5 + 0.5 + 1)
=
100 / (2.95)
=
33.8983050847 ~ 34 damage
As you can see the formula matches what is said above. The total damage reduction is 195%, which when put in the formula shows you took around 33% of the damage taken.
Raid bosses deal absurd amounts of damage, so damage reduction is quite useless against them, because they can easily health gate you regardless.
That is by definition an addiditve bonus.
Just that it is not "1-Sum(boni)" but rather the reciproce "1/(1+Sum(boni))"
Multiplicative would be multiplying the boni - which is not the case.
An additive bonus would be like what OP described You start off at 0%, then add 20% for the rough rider, then add another 50% numbed nerves, etc., so in terms of damage you subtract 20% of the damage, then 70% (Rough Rider + Numbed Nerves), etc. but this is not the case. However this is the case with a skill like kinetic reflection boosted by a blue rarity level 50+ Mirrored Trickster or Bullet Witch Class Mod, which give kinetic reflection 110% damage reduction from bullets, which means Maya actually gets healed 10% per bullet.
Multiplicative or aditive is ALWAYS in relation to the boni them self - if you have multiple boni for that stat do they add or multiply - and they clearly ADD.
No and No.
Cause those use an entirely different formula.....................
Just small edit here, since you evidently need wikipedia considering you don't know what multiplicative inverse is: https://en.wikipedia.org/wiki/Multiplicative_inverse
Are you braindead? y = 1/x is a hyperbola, that goes for any graph where x is a denominator.
"y" in this case is obviously damage taken, and Damage resistance is "x" And additive function is y = x + 1
Your point being? That was literally my point... Repeating my point back to me proves nothing...
Keep trying pesudo-intellectual.
P.S. "boni" is not a word it's "bonuses", please learn English.
Learn math.
And i adressed that too - still additive.
You can repeat your self as many times as you want - does not make it true. Please go learn the basics of maths and then what "additive" and "multiplicative" mean for game-mechanics.
(and please - plot 1/x and watch in horror as it does not go towards infinity - ah right, you will of course repeat your self, claim that i am wong and change the fallacy again)
You have a simple task I want you to point out how Total Damage resistance is multiplicative in the formula:
Damage taken = Damage * (Total Damage resistance) ^ -1
Total Damage resistance itself is multiplicative, that is clear as day, specifically a multiplicative inverse. Don't bring up anything else, I only care about how Total Damage Resistance is used in this formula as a single variable on its own, can you do that one simple task?
FYI:
https://ibb.co/wcGv7Yh
You cannot divide by 0 genius... Of course the limit will tend towards infinity. Now I am convinced you are just trolling, and don't actually have anything of substance to say, your Maths is as bad, if not worse than your English.
I guess you were talking to yourself?
Edited to add a little extra salt for your wounds
Again - show me a single formula that is additive in BL2 then - and i will show you again just how wrong you are.
Look again - it goes towards 0 - and called it.
Just answer it you coward. You refuse to because you know that clearly total damage resistance is multiplicative. Every time you will evade, I will just post it right back at you.
Changed this section because I found a little kids maths site to teach you limits to infinity:
https://www.mathsisfun.com/calculus/limits-infinity.html
Suitable for your brain power
More salt for your wounds, pathetic coward
That really describes your position perfectly - deflecting, strawmen, pushing the blame for your lack of understanding onto others.
You said that total damage resistance is additive, now prove it. here you go again:
Yes it does describe my position, but not in your twisted lies . You continue to be a coward who evades, whereas I continue to repeat my same point from the very beginning, you shifted the goalposts trying to challenge me with the whole graph thing, that failed so you won't address it anymore, and now you really are grasping at straws. So pathetic.
here you go again:
Look at any formula in Borderlands - look at all the ADDITIVE damage-boni, and then comapre it to damage-reduction - guess what? By your cliam there is not a single additive bonus - so wow, now all skills suddenly got way better by YOUR claim.
Please, go visit a school and learn math - it is not that hard and even 8 year old can understand it.
Not what I asked
Not what I asked.
Wow, it's almost as if your entire argument is a straw man.
Here's a refresher of what I asked:
Well we have already proven with your failure to understand y=1/x that your intellect is below an 8 year-old, so I guess you are talking to yourself as usual.