Damage Resistance: Difference between revisions

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~~{{Stub}}~~

'''Damage Resistance''' refers to the Bullet, Melee, and Spirit Resist statistics which reduce incoming damage taken. Bullet Resist reduces all weapon and melee damage, Melee Resist reduces only melee damage, while Spirit Resist reduces all spirit damage.

'''Damage Resistance''' refers to the Bullet and Spirit Resist statistics which reduce incoming damage taken.

~~Bullet Resist reduces all weapon (such as bullets/melee) damage~~, ~~while Spirit Resist reduces all spirit damage~~.

Most resistances stack diminishingly with each additional resistance source having reduced effect. Resistance Reduction is applied to the final resistance, and if stacked separately and diminishingly.

~~== Notes ==~~

The Bullet Resistance and Spirit Resistance stats are also sometimes referred to as "Bullet Armor" and "Spirit Armor".

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

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

== Melee Resist ==

Melee Resist is a special case of Bullet Resist that is stacked diminishingly along with Bullet Resist to reduce all incoming melee damage. This includes all "melee" abilities such as [[Viscous#Abilities|Viscous]] Puddle Punch 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.

~~Even Resistance from~~ [[~~Level~~#~~Power Increases~~]] is multiplicative. For example, [[Bebop]]'s base Resistance is {{#invoke:HeroData|get_hero_var|Bebop|BulletArmorDamageReduction}}%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases, Bebop's total resistance will be

~~<math>0.1 + 1 - (1-0.0125)^{14} = 26~~.~~2%</math> ~~

== Math ==

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

Despite being presented in-game as +x% Bullet, Melee, or Spirit Resist, multiple sources of 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>

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

where:

where:

<math>

\begin{align}

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

==~~Graphs~~==

The final Resistance can go negative, and this multiplies the damage taken of that type. For example:

* 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.

Even Resistance from [[Level#Power Increases]] is multiplicative. For example, [[Bebop]]'s base Resistance is {{#invoke:HeroData|get_hero_var|Bebop|BulletArmorDamageReduction}}%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases, Bebop's total resistance will be

==Effective Health==

[[File:Resistance-graph.png|thumb|A graph showing how despite the resistance percentage not growing additively, it scales the player's effective health additively.]]

''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].

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* {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +30%.

* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per stack per shot when hitting enemy heroes, maxing at 40% Bullet Resist.

* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per [[stack]] per shot when hitting enemy heroes, maxing at 40% Bullet Resist.

=== Bullet Resist Reduction ===

=== Melee Resist ===

=== Spirit Resist ===

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-{{Stub}}
+'''Damage Resistance''' refers to the Bullet, Melee, and Spirit Resist statistics which reduce incoming damage taken. Bullet Resist reduces all weapon and melee damage, Melee Resist reduces only melee damage, while Spirit Resist reduces all spirit damage.
-'''Damage Resistance''' refers to the Bullet and Spirit Resist statistics which reduce incoming damage taken.
-Bullet Resist reduces all weapon (such as bullets/melee) damage, while Spirit Resist reduces all spirit damage.
+Most resistances stack diminishingly with each additional resistance source having reduced effect. Resistance Reduction is applied to the final resistance, and if stacked separately and diminishingly.
-== Notes ==
+The Bullet Resistance and Spirit Resistance stats are also sometimes referred to as "Bullet Armor" and "Spirit Armor".
-Resistances can go negative, and this multiplies the damage taken of that type.
-% resist= 70% of the damage from the weapon or ability.
+== Melee Resist ==
+Melee Resist is a special case of Bullet Resist that is stacked diminishingly along with Bullet Resist to reduce all incoming melee damage. This includes all "melee" abilities such as [[Viscous#Abilities|Viscous]] Puddle Punch 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.
-Even Resistance from [[Level#Power Increases]] is multiplicative. For example, [[Bebop]]'s base Resistance is {{#invoke:HeroData|get_hero_var|Bebop|BulletArmorDamageReduction}}%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases, Bebop's total resistance will be
-<math>0.1 + 1 - (1-0.0125)^{14} = 26.2%</math><br>
 == Math ==
-Despite being presented in-game as +X% Bullet Resist, multiple sources of bullet resist stack multiplicatively, not additively.
+Despite being presented in-game as +x% Bullet, Melee, or Spirit Resist, multiple sources of 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/>
+The formula for resist is: <math>BR_f = \left\lceil 1 - \prod_{i=1}^n (1 - BR_i) \right\rceil</math><br />
-where:<br/>
+where:<br />
 <math>
 \begin{align}
@@ Line 54: / Line 44: @@
 <math>[1 - (1 - 0.7) * (1 - 0.2)] -[1 - (1-0.12)*(1-0.12)*(1-0.24)] =  \mathit 35% Spirit Resist</math>
-==Graphs==
+The final Resistance can go negative, and this multiplies the damage taken of that type. For example:
+* 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.
+Even Resistance from [[Level#Power Increases]] is multiplicative. For example, [[Bebop]]'s base Resistance is {{#invoke:HeroData|get_hero_var|Bebop|BulletArmorDamageReduction}}%, while he gains 1.25% Resist per Power Increase. After 14 Power Increases, Bebop's total resistance will be
+<math>0.1 + 1 - (1-0.0125)^{14} = 26.2%</math>
+==Effective Health==
 {{Construction}}
+[[File:Resistance-graph.png|thumb|A graph showing how despite the resistance percentage not growing additively, it scales the player's effective health additively.]]
 ''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].
@@ Line 64: / Line 66: @@
 {{Item stat table|Bullet Resist}}
 * {{ItemIcon|Monster Rounds}} increases Bullet Resist vs. NPCs by +30%.
-* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per stack per shot when hitting enemy heroes, maxing at 40% Bullet Resist.
+* {{ItemIcon|Escalating Resilience}} increases Bullet Resist by 2% per [[stack]] per shot when hitting enemy heroes, maxing at 40% Bullet Resist.
 === Bullet Resist Reduction ===
 {{Item stat table|Bullet Resist Reduction}}
+=== Melee Resist ===
+{{Item stat table|Melee Resist}}
 === Spirit Resist ===