Editing User:SerpentofSet/HealthMath

== Math ==
The formula for max health <math>HP_{Max}</math> is: 

<math>
HP_{Max} = \left( HP_0 + N_{PI} \times PI_{HP} \right) \times (1 + \textstyle\sum HP_{Shop} ) + \textstyle\sum HP_{Bonus}
</math>

where <math>HP_0</math> is hero-specific starting health, <math>N_{PI}</math> is the number of [[Level|Power Increases]] earned, <math>PI_{HP}</math> is hero-specific added base health from each power increase, <math>HP_{Shop}</math> are the implicit base health percent increases from [[Vitality]] items, and <math>HP_{Bonus}</math> are the miscellaneous bonus health flat increases from items, [[Golden Statue|Golden Statues]], [[Powerup Buff|Survival Powerups]], the [[Rejuvenator]], etc.

With the purchase of [[Glass Cannon]], the player's max health is reduced by 15% after the above calculations.

Note that the max health presented in-game is rounded to the nearest integer.

===Example===
[[Kelvin]] begins the game with 600 Base HP. If Kelvin purchases the tier 1 vitality items [[Extra Health]] and [[Extra Stamina]], the first of which also grants 160 bonus health, his max health becomes:

<math>HP_{Max} = 600 \times (1 + (0.11 + 0.11)) + 160 = 892</math>

If Kelvin then earns a power increase, his base health increases by 50, and his max health becomes:

<math>HP_{Max} = (600 + 50) \times (1 + (0.11 + 0.11)) + 160 = 953</math>