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Armor

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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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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:
 
   
<math>REDUCTION = 0.242ln(x) - 0.6484</math>; where '''''x''''' is the armor value and reduction is in a ratio
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Chiron with 159 armor receives an [[Auto-Attack]] for 183 physical damage. Cassandra then uses "Proph-Icy" to increase his armor by 44. He now, at a total of 203 armor takes 156 physical damage on a 2nd Auto-Attack.
   
Physical Armor Reduction (Relative error = ± 1.5%)
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From this scenario, we can conclude that an 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.
   
* 400 Armor = 80.1%
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*ARMOR- DMG Taken(PHY)
* 350 Armor = 76.9%
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*226....145
* 300 Armor = 73.2%
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*203....156
* 275 Armor = 71.1%
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*182....168
* 250 Armor = 68.8%
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*159....183
* 225 Armor = 66.2%
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* 200 Armor = 63.3%
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* 175 Armor = 60.1%
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* 150 Armor = 56.4%
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* 125 Armor = 52.0%
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As you can see , as armor increases, one receives less and less of a benefit. If this 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).
* 100 Armor = 46.6%
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* 75. Armor = 39.6%
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It can be approximated that a difference in 22 armor, creates a difference in rate of reduction of damage taken by about 3.5 damage (Note the difference from 183 to 168, and 168 to 156; 15 and 12 respectively, a difference in 3 in the rate of reduction).
* 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]]
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