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| − | Stat of a hero that provides protection from |
+ | 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: |
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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. |
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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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| + | 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. |
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| − | Physical Armor Reduction (Relative error = ± 1.5%) |
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| + | *ARMOR- DMG Taken(PHY) |
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| − | * 400 Armor = 80.1% |
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| + | *226....145 |
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| − | * 350 Armor = 76.9% |
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| + | *203....156 |
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| − | * 300 Armor = 73.2% |
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| + | *182....168 |
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| − | * 275 Armor = 71.1% |
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| + | *159....183 |
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| − | * 250 Armor = 68.8% |
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| + | |||
| − | * 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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| + | 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). |
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| − | * 125 Armor = 52.0% |
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| + | |||
| − | * 100 Armor = 46.6% |
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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). |
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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> |
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[[Category:Stats]] |
[[Category:Stats]] |
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