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Resolve Tree

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Other Mastery Trees:
25px Ferocity25px Cunning
Fearless is a tier 4 Resolve mastery with 1 rank. [1]


Recursion

  • Denote the base armor as a, bonus armor (without counting the above multipliers) as b, bonus armor percentage increase due to Unyielding Unyielding as x, total armor percentage increase due to Fearless Fearless as y, and flat bonus from Fearless Fearless as c
    • y = 10% = 0.1
  • The resultant armor can be calculated as follows:
    • Define two sequences S = {sn} and T = {tn}, where n = 0, 1, 2, ...
    • s0 = a + b + c, t0 = 0
    • s1 = (a + b)y, t1 = (b + c)x
    • For n ≥ 2, sn = tn-1y, tn = sn-1x
    • The resultant armor is the sum of all terms in S and T.
    • This gives the formula Resultant armor = [a(1 + y) + b(1 + x)(1 + y) + c(1 + x)] / (1 - xy)
  • Same works for magic resistance.

Patch History

V7.22
  • Removed due to Season 2018.
V7.4
  • Flat bonus resistances reduced to 1.5 - 27 (in base al livello) from 2 - 36 (in base al livello)
V6.22
  • Added
  • Tier 4 Resolve mastery with 1 rank.
  • Grants 10% (+ 2 - 36 (in base al livello)) bonus armor and 10% (+ 2 - 36 (in base al livello)) bonus magic resistance for 2 seconds when damaged by an enemy champion (9 second cooldown)


References

  1. Masteries on leagueoflegends.com
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