% Life vs. Vitality

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Phoenix
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% Life vs. Vitality

Postby Phoenix » 07 Sep 2012, 04:08

The basic equation for Character Sheet HP where V=Vitality, L=%Life (ie., 1% Life = 1):

HP = (276 + V*35) * (1 + L/100)

Taking the partial derivatives:

dHP/dV = 35+35/100*L

dHP/dL = 2.76+0.35*V

Now assuming that 200 Vit = 12% Life for most items (http://diablo.incgamers.com/blog/commen ... look-chart), we have:

dHP/dV * 200/12 = dHP/dL

583 + 5.83*L = 2.76 + 0.35*V

L = (0.35*V-580)/5.83

Which means that given V vitality, you should optimally equip L life:

(!empty($user->lang['CODE'])) ? $user->lang['CODE'] : ucwords(strtolower(str_replace('_', ' ', 'CODE')))(!empty($user->lang['COLON'])) ? $user->lang['COLON'] : ucwords(strtolower(str_replace('_', ' ', 'COLON'))) (!empty($user->lang['SELECT_ALL_CODE'])) ? $user->lang['SELECT_ALL_CODE'] : ucwords(strtolower(str_replace('_', ' ', 'SELECT_ALL_CODE')))

V       L
1657    0
1800    8.6
1900    14.6
2000    20.6
2100    26.6
2200    32.6

Caveats: Trading 1 stat for another is seldom simple. I used the ratio of the max possible roll on Belt,Chest,Helm,Shoulder (200/16=16.7 vit per %life). Using a comparison of different items will change the numbers (Amulet: 300/16=18.8). Another example might be gem based (34/12=2.83), changing the comparison drastically (I think this is flawed, but YMMV).

Comments: I did this analysis in a rather short period of time, its not unlikely I made a mistake. Corrections welcomed.
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