Bullet Lifesteal: Difference between revisions

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→Math: the i in BL_i does not mean initial, it is just the index from 1 to n that the product operator iterates over; listing each term in TeX is not typical of how formulae are presented in academia or even on Wikipedia, see the Wikipedia pages on mass-energy equivalence or Newton's laws
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Despite being presented in-game as +X% Bullet Lifesteal, multiple sources of bullet lifesteal stack multiplicatively, not additively.  
Despite being presented in-game as +X% Bullet Lifesteal, multiple sources of bullet lifesteal stack multiplicatively, not additively.  


The formula for bullet lifesteal is: <math>BL_f = 1 - \prod_{i=1}^n (1 - BL_i)</math><br/><!--this is rounded, but the game displays two different calculations where one is rounded up, and the other is rounded down-->
Despite being presented in-game as +X% Bullet Lifesteal, different sources of bullet lifesteal stack multiplicatively, not additively. With <math>n</math> different sources of bullet lifesteal, final bullet lifesteal is given by:
where:<br/>
<math>
\begin{align}
  n &= \text{number of bullet lifesteal sources,} \\
  BL_i &= \text{initial bullet lifesteal,} \\
  BL_f &= \text{final bullet lifesteal}
\end{align}
</math>


For example, with 10% Bullet Lifesteal from [[Crippling Headshot]] and 35% Bullet Lifesteal from [[Leech]], total bullet lifesteal is:
<math>BL_F = 1 - \prod_{i=1}^n (1 - BL_i)</math><br/><!--this is rounded, but the game displays two different calculations where one is rounded up, and the other is rounded down-->


<math>BL_f = 1 - (1 - 0.10) \times (1 - 0.35) = 41.5% \approx 41%</math><!--the stat ingame says 42%, but the calculation on hover says 41%-->
where BL<sub>''i''</sub> is the bullet lifesteal provided by the ''i''th source.
 
===Example===
 
With 10% Bullet Lifesteal from [[Crippling Headshot]] and 35% Bullet Lifesteal from [[Leech]], final bullet lifesteal is:
 
<math>BL_F = 1 - (1 - 0.10) \times (1 - 0.35) = 41.5%</math><!--the stat ingame says 42%, but the calculation on hover says 41%-->
 
Note that the in-game user interface is inconsistent in how it rounds the final number.


== Sources ==
== Sources ==
Retrieved from "https://deadlock.wiki/Bullet_Lifesteal"