Ability Cooldown: Difference between revisions

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'''Ability Cooldown''' is the time it takes for an [[Ability]] to be usable again.

==Overview==

Cooldowns range from a few seconds, as in {{HeroIcon|Lady Geist}}'s {{AbilityIcon|Malice}}, to a few minutes, as in {{HeroIcon|Dynamo}}'s {{AbilityIcon|Singularity}}. Ability cooldowns can be reduced by acquiring the Cooldown Reduction stat, which reduces the cooldown by a percentage of base [[ability]] time.

===Charged Abilities===

Some abilities can acquire multiple charges. In those cases, the ability cooldown represents the time for a charge to become available again after being used. This should not be confused with the time between charges, which describes the delay after using a charge that a different charge can be used.

===~~Stacking~~===

== Calculation ==

Despite being presented in-game as +X% Cooldown Reduction, different sources of cooldown reduction stack multiplicatively, not additively. With <math>n</math> different sources of cooldown reduction, total cooldown reduction is given by:

~~<math>CR_{Total}~~ = ~~1 - \prod_{i~~=~~1}^n (1~~ - ~~CR_i)</math>~~

=== Calculating Cooldown Reduction ===

Despite being presented in-game as +X% Cooldown Reduction, multiple sources stack '''multiplicatively''', not additively:

~~For example, with 12% Cooldown Reduction from~~ {~~{ItemIcon|Diviner's Kevlar}} and 16%~~ Cooldown Reduction ~~from {{ItemIcon|Superior Cooldown}~~}~~, total cooldown reduction is:~~

<math>\text{Total Cooldown Reduction} = 1 - (1 - CR_1) \times (1 - CR_2) \dots</math>

~~<math>CR_~~{~~Total~~} = 1 - (1 - 0.12) ~~\times~~ (1 - 0.16) ~~\approx~~ 26%~~</math>~~

'''Example:'''

With '''12%''' Cooldown Reduction from {{ItemIcon|Diviner's Kevlar}} and '''16%''' from {{ItemIcon|Superior Cooldown}}:

# Convert percentages to decimals: 0.12 and 0.16.

# Subtract from 1: (1 - 0.12) = '''0.88''' and (1 - 0.16) = '''0.84'''.

# Multiply the remainders: 0.88 × 0.84 = '''0.7392'''.

# Subtract from 1: 1 - 0.7392 = '''0.2608'''.

# Total Cooldown Reduction is approximately '''26%''', not 28%.

== Sources of Ability Cooldown Reduction ==

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 '''Ability Cooldown''' is the time it takes for an [[Ability]] to be usable again.
 ==Overview==
-Cooldowns range from a few seconds, as in {{HeroIcon|Lady Geist}}'s {{AbilityIcon|Malice}}, to a few minutes, as in {{HeroIcon|Dynamo}}'s {{AbilityIcon|Singularity}}.  Ability cooldowns can be reduced by acquiring the Cooldown Reduction stat, which reduces the cooldown by a percentage of base [[ability]] time.
+Cooldowns range from a few seconds, as in {{HeroIcon|Lady Geist}}'s {{AbilityIcon|Malice}}, to a few minutes, as in {{HeroIcon|Dynamo}}'s {{AbilityIcon|Singularity}}. Ability cooldowns can be reduced by acquiring the Cooldown Reduction stat, which reduces the cooldown by a percentage of base [[ability]] time.
 ===Charged Abilities===
 Some abilities can acquire multiple charges. In those cases, the ability cooldown represents the time for a charge to become available again after being used. This should not be confused with the time between charges, which describes the delay after using a charge that a different charge can be used.
-===Stacking===
+== Calculation ==
-Despite being presented in-game as +X% Cooldown Reduction, different sources of cooldown reduction stack multiplicatively, not additively. With <math>n</math> different sources of cooldown reduction, total cooldown reduction is given by:
-<math>CR_{Total} = 1 - \prod_{i=1}^n (1 - CR_i)</math>
+=== Calculating Cooldown Reduction ===
+Despite being presented in-game as +X% Cooldown Reduction, multiple sources stack '''multiplicatively''', not additively:
-For example, with 12% Cooldown Reduction from {{ItemIcon|Diviner's Kevlar}} and 16% Cooldown Reduction from {{ItemIcon|Superior Cooldown}}, total cooldown reduction is:
+<math>\text{Total Cooldown Reduction} = 1 - (1 - CR_1) \times (1 - CR_2) \dots</math>
-<math>CR_{Total} = 1 - (1 - 0.12) \times (1 - 0.16) \approx 26%</math>
+'''Example:'''
+With '''12%''' Cooldown Reduction from {{ItemIcon|Diviner's Kevlar}} and '''16%''' from {{ItemIcon|Superior Cooldown}}:
+# Convert percentages to decimals: 0.12 and 0.16.
+# Subtract from 1: (1 - 0.12) = '''0.88''' and (1 - 0.16) = '''0.84'''.
+# Multiply the remainders: 0.88 × 0.84 = '''0.7392'''.
+# Subtract from 1: 1 - 0.7392 = '''0.2608'''.
+# Total Cooldown Reduction is approximately '''26%''', not 28%.
 == Sources of Ability Cooldown Reduction ==