LifeDrainer[RO]
29th March 2008, 11:41 PM
Whenever you hear this, what it means is that a certain effect has an increased percentage, but not directly increased. If you have 20% of something, and an item or skill that gives another 20% of that something, if it stacks diminishingly, it will not equal 40%!
The way to work out diminishing returns is to use this formula:
T = C/100 + (100-C)/100 * E/100
T is the Total percent, C is the Current percent, and E is the Extra percent.
Every hero starts out with a natural 25% magic resistance to spells. A spell that says it does 300 damage will only do 225 damage to heroes (75% of 300). On top of that, there are items which give magic resistance, and even some heroes that have skills which increase magic resistance. Getting extra magic resistance stacks diminishingly, though.
When a hero buys a Planeswalker's cloak, which gives 15% magic resistance, to calculate the total magic resistance we use the formula for Diminishing Return.
T = 0.25 + (100-25)/100 * 0.15
= 0.25 + 0.75 * 0.15
= 0.25 + 0.1125
= 0.3625
Total magic resistance with a Planeswalker's Cloak is 36.25%.
When a hero upgrades the Planeswalker's cloak to an Hood of Defiance, which gives 30% magic resistance, to calculate the total magic resistance we again use the formula:
T = 0.25 + (100-25)/100 * 0.30
= 0.25 + 0.75 * 0.30
= 0.25 + 0.225
= 0.475
Total magic resistance with an Hood of Defiance is 47.5%.
Note that the current magic resistance was 25% because you no longer have the Planeswalker's cloak! If the hero with Planeswalker's cloak then buys another Planeswalker's cloak, the magic resistance will not stack. Likewise, if the hero with an Hood then buys another Hood, the magic resistance will, again, not stack.
This Excel file is dedicated to those that knew the formula but are to lazy to count by themselves and also to dota-freaks that wanna know precise numbers on most dota situations.
The Spreadsheet contains these sheets:
* Bashes
* Stout or Vanguard?
* Criticals stacking (Average damage with criticals and innate crits and images)
* Buriza vs MKB DPS (damage per second) based on IAS & Damage
* DPS based on IAS & Damage
* Reaper-Scythe Exact Kill Zone (for the derivation see my guide in dota-allstars.com Mechanics>Guides&Lists)
* Sunder
Enable Macros as they serve functionality and i assure and guarantee you that the file is clean. (code and formulas aren't protected, you can see them)
The way to work out diminishing returns is to use this formula:
T = C/100 + (100-C)/100 * E/100
T is the Total percent, C is the Current percent, and E is the Extra percent.
Every hero starts out with a natural 25% magic resistance to spells. A spell that says it does 300 damage will only do 225 damage to heroes (75% of 300). On top of that, there are items which give magic resistance, and even some heroes that have skills which increase magic resistance. Getting extra magic resistance stacks diminishingly, though.
When a hero buys a Planeswalker's cloak, which gives 15% magic resistance, to calculate the total magic resistance we use the formula for Diminishing Return.
T = 0.25 + (100-25)/100 * 0.15
= 0.25 + 0.75 * 0.15
= 0.25 + 0.1125
= 0.3625
Total magic resistance with a Planeswalker's Cloak is 36.25%.
When a hero upgrades the Planeswalker's cloak to an Hood of Defiance, which gives 30% magic resistance, to calculate the total magic resistance we again use the formula:
T = 0.25 + (100-25)/100 * 0.30
= 0.25 + 0.75 * 0.30
= 0.25 + 0.225
= 0.475
Total magic resistance with an Hood of Defiance is 47.5%.
Note that the current magic resistance was 25% because you no longer have the Planeswalker's cloak! If the hero with Planeswalker's cloak then buys another Planeswalker's cloak, the magic resistance will not stack. Likewise, if the hero with an Hood then buys another Hood, the magic resistance will, again, not stack.
This Excel file is dedicated to those that knew the formula but are to lazy to count by themselves and also to dota-freaks that wanna know precise numbers on most dota situations.
The Spreadsheet contains these sheets:
* Bashes
* Stout or Vanguard?
* Criticals stacking (Average damage with criticals and innate crits and images)
* Buriza vs MKB DPS (damage per second) based on IAS & Damage
* DPS based on IAS & Damage
* Reaper-Scythe Exact Kill Zone (for the derivation see my guide in dota-allstars.com Mechanics>Guides&Lists)
* Sunder
Enable Macros as they serve functionality and i assure and guarantee you that the file is clean. (code and formulas aren't protected, you can see them)