Damage Resistance: Difference between revisions

Line 6:

Resistances from [[Level|Power Increase]]s seems to act strangely and requires more research.

== ~~Stacking Resistances~~ ==

== Notes ==

Resistances from ~~multiple sources are multiplicative with each other~~.

Resistances can go negative, and this multiplies the damage taken of that type.

30% resist= 70% of the damage from the weapon or ability.

0% resist = 100% of the damage from the weapon or ability.

~~<math>\mathit{Displayed Resist}~~ = 1 - (1 - \mathit{Resistance 1}) * (1 - \mathit{Resistance 2}) * .~~.. * (1 - \mathit{Resistance N})</math>~~

-30% resist = 130% of the damage from the weapon or ability.

~~For example~~, ~~multiple sources of Bullet Resist~~

Items like [[Headshot Booster]] grant a flat added bullet damage, this bonus damage is not multiplied by weapon damage but is subject to resistance reduction/increase in damage.

== Math ==

Despite being presented in-game as +X% Bullet Resist, multiple sources of bullet resist stack multiplicatively, not additively.

The formula for bullet resist is: <math>BR_f = \left\lceil 1 - \prod_{i=1}^n (1 - BR_i) \right\rceil</math><br/>

where:<br/>

<math>

\begin{align}

BR_f &= \text{final bullet resist,} \\

n &= \text{number of bullet resist sources,} \\

BR_n &= \text{bullet resist value} \\

\end{align}

</math>

For example, multiple sources of Bullet Resist:

* 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]

* 40% Bullet Resist from the [[Colossus]] [[Items|Item]] results in:

<math>1 - (1 - 0.6) * (1 - 0.4) = 76% Bullet Resist</math>

<math>1 - (1 - 0.6) * (1 - 0.4) = 76% \text{ Bullet Resist}</math>

==Resistance Reduction==

Line 34:

Line 52:

<math>[1 - (1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] = \mathit 35% Spirit Resist</math>

~~==Notes==~~

~~Resistances can go negative, and this multiplies the damage taken of that type.~~

~~30% resist= 70% of the damage from the weapon or ability.~~

~~0% resist = 100% of the damage from the weapon or ability.~~

~~-30% resist = 130% of the damage from the weapon or ability.~~

~~Items like [[Headshot Booster]] grant a flat added bullet damage, this bonus damage is not multiplied by weapon damage but is subject to resistance reduction/increase in damage.~~

==Graphs==

''Include graph of effective health as a function of Damage Reduction.'' In the mean time, feel free to refer to this [https://www.desmos.com/calculator/97vhqmutyz Desmos graph].

Damage Resistance: Difference between revisionsGive feedback

Sylphoid (talk | contribs)

@@ Line 6: / Line 6: @@
 Resistances from [[Level|Power Increase]]s seems to act strangely and requires more research.
-== Stacking Resistances ==
+== Notes ==
-Resistances from multiple sources are multiplicative with each other.
+Resistances can go negative, and this multiplies the damage taken of that type.
+% resist= 70% of the damage from the weapon or ability.
+% resist = 100% of the damage from the weapon or ability.
-<math>\mathit{Displayed Resist} = 1 - (1 - \mathit{Resistance 1}) * (1 - \mathit{Resistance 2}) * ... * (1 - \mathit{Resistance N})</math>
+-30% resist = 130% of the damage from the weapon or ability.
-For example, multiple sources of Bullet Resist
+Items like [[Headshot Booster]] grant a flat added bullet damage, this bonus damage is not multiplied by weapon damage but is subject to resistance reduction/increase in damage.
+== Math ==
+Despite being presented in-game as +X% Bullet Resist, multiple sources of bullet resist stack multiplicatively, not additively.
+The formula for bullet resist is: <math>BR_f = \left\lceil 1 - \prod_{i=1}^n (1 - BR_i) \right\rceil</math><br/>
+where:<br/>
+<math>
+\begin{align}
+  BR_f &= \text{final bullet resist,} \\
+  n &= \text{number of bullet resist sources,} \\
+  BR_n &= \text{bullet resist value} \\
+\end{align}
+</math>
+For example, multiple sources of Bullet Resist:
 * 60% Bullet Resist from Viscous' [[Viscous#(4)_Goo_Ball|Goo Ball]]
 * 40% Bullet Resist from the [[Colossus]] [[Items|Item]] results in:
-<math>1 - (1 - 0.6) * (1 - 0.4) = 76% Bullet Resist</math>
+<math>1 - (1 - 0.6) * (1 - 0.4) = 76% \text{ Bullet Resist}</math>
 ==Resistance Reduction==
@@ Line 34: / Line 52: @@
 <math>[1 - (1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] =  \mathit 35% Spirit Resist</math>
-==Notes==
-Resistances can go negative, and this multiplies the damage taken of that type.
-% resist= 70% of the damage from the weapon or ability.
-% resist = 100% of the damage from the weapon or ability.
--30% resist = 130% of the damage from the weapon or ability.
-Items like [[Headshot Booster]] grant a flat added bullet damage, this bonus damage is not multiplied by weapon damage but is subject to resistance reduction/increase in damage.
 ==Graphs==
+{{Construction}}
 ''Include graph of effective health as a function of Damage Reduction.'' In the mean time, feel free to refer to this [https://www.desmos.com/calculator/97vhqmutyz Desmos graph].