Bullet Lifesteal: Difference between revisions

Revision as of 06:23, 14 October 2024

This article is about the stat. For the item, see Bullet Lifesteal (item).

Bullet Lifesteal is a stat that causes a percentage of bullet damage dealt to be regained as health.

Math

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, different sources of bullet lifesteal stack multiplicatively, not additively. With $n$ different sources of bullet lifesteal, final bullet lifesteal is given by:

$BL_{F}=1-\prod _{i=1}^{n}(1-BL_{i})$

where BL_i is the bullet lifesteal provided by the ith source.

Example

With 10% Bullet Lifesteal from Crippling Headshot and 35% Bullet Lifesteal from Leech, final bullet lifesteal is:

$BL_{F}=1-(1-0.10)\times (1-0.35)=41.5\%$

Note that the in-game user interface is inconsistent in how it rounds the final number.

Sources

List of items
Name	Cost	Category	Stat change
Active Reload	1,250	Weapon	+20% Bullet Lifesteal
Heroic Aura	3,000	Weapon	+20% Bullet Lifesteal
Crippling Headshot	6,200	Weapon	+10% Bullet Lifesteal
Vampiric Burst	6,200	Weapon	+100% Bullet Lifesteal
Bullet Lifesteal	1,250	Vitality	+28% Bullet Lifesteal
Leech	6,200	Vitality	+35% Bullet Lifesteal

@@ Line 6: / Line 6: @@
 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 ==

Bullet Lifesteal: Difference between revisions

Revision as of 06:23, 14 October 2024

Math

Example

Sources

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