Ability Cooldown

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Overview

Ability Cooldown is a stat obtainable by Heroes though items. This stat is currently a percentage based reduction on the base ability time.

Stacking

Ability Cooldowns are stacked multiplicatively as opposed to additively.

$𝐷𝑖𝑠𝑝𝑙𝑎𝑦𝑒𝑑𝐶𝑜𝑜𝑙𝑑𝑜𝑤𝑛𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛=1-(1-𝐶𝑜𝑜𝑙𝑑𝑜𝑤𝑛𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛1)\ast (1-𝐶𝑜𝑜𝑙𝑑𝑜𝑤𝑛𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛2)\ast \mathrm{...}\ast (1-𝐶𝑜𝑜𝑙𝑑𝑜𝑤𝑛𝑅𝑒𝑑𝑢𝑐𝑡𝑖𝑜𝑛𝑁)$

For example, with multiple sources of Cooldown Reduction

• 24% Cooldown Reduction from the Superior Cooldown Item
• 15% Cooldown Reduction from the Spiritual Overflow Item results in:

$𝐷𝑖𝑠𝑝𝑙𝑎𝑦𝑒𝑑𝑅𝑒𝑠𝑖𝑠𝑡=1-(1-0.24)\ast (1-0.15))=0.34(34\mathrm{\%})$

Sources of Cooldown Reduction

Item	Cost	+X% Cooldown Reduction