Stat of a hero that provides protection from Physical damage. The more armor a hero has, the more reduction in damage it provides.

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Stat of a hero that provides protection from physical damage. The more armor a hero has, the more reduction in damage it provides.

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The relationship of armor and reduction in physical damage can be represented in this equation and table:

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Chironwith159 armor receives an [[Auto-Attack]] for 183 physical damage. Cassandra then uses "Proph-Icy"to increase his armor by 44. Henow,ata total of 203 armor takes156physicaldamageon a 2nd Auto-Attack.

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<math>REDUCTION = 0.242ln(x) - 0.6484</math>; where '''''x''''' is the armor value and reduction is in a ratio

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Fromthisscenario,wecanconcludethatan increase of 44 armor from an armor value of 159, or + 27.67%, reduces his damage taken from physical attacks by 14.75%. At lower base armor values that addition of armor would be more beneficial.

Asyoucansee, as armor increases, one receives less and less of a benefit. Ifthis was graphed it would be in the shape of a log curve. This is the idea of how diminishing returns works; as one stat goes up more and more(armor), the other stat is correlated and goes up also, but considerably less and less(PHY dmg taken).

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* 125 Armor = 52.0%

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* 100 Armor = 46.6%

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Itcanbeapproximatedthat a difference in 22 armor, creates a difference in rate of reduction of damage taken by about 3.5damage (Note the difference from 183 to 168, and 168 to 156; 15 and 12 respectively, a difference in 3 in the rate of reduction).

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* 75. Armor = 39.6%

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* 50. Armor = 29.8%

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* 25. Armor = 13.1%

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* 0.0 Armor = 0.00%

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Armor Reduction

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*400...80%<br>

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*350...77%<br>

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*300...73%<br>

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*275...71%<br>

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*250...69%<br>

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*225...66%<br>

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*200...63%<br>

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*175...60%<br>

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*150...56%<br>

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*125...52%<br>

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*100...47%<br>

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*75....40%<br>

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*50....30%<br>

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*25....13%<br>

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*0.....0%<br>

[[Category:Stats]]

[[Category:Stats]]

Latest revision as of 12:11, January 26, 2015

Stat of a hero that provides protection from physical damage. The more armor a hero has, the more reduction in damage it provides.

The relationship of armor and reduction in physical damage can be represented in this equation and table:

$ REDUCTION = 0.242ln(x) - 0.6484 $; where x is the armor value and reduction is in a ratio