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Resolve Tree

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Other Mastery Trees:
25px Ferocity25px Cunning
Unyielding is a tier 1 Resolve mastery with 5 ranks. [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
V5.24
  • Bonus resistances reduced to 1 / 2 / 3 / 4 / 5% from 1.2 / 2.4 / 3.6 / 4.8 / 6%.
V5.22
  • Added
  • Tier 1 Resolve mastery with 5 ranks.
  • Increases bonus armor and bonus magic resistance by 1.2 / 2.4 / 3.6 / 4.8 / 6% each.


References

  1. Masteries on leagueoflegends.com

Defense Mastery Tree
(2014)

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Other Mastery Trees:
25px Offense25px Utility

Unyielding was a tier 2 Defense mastery with 1 rank.


Effect per Rank

  • Reduces all incoming damage from champions by 2 / 1.

Requirements

  • Requires 4 points in Defense.
  • Requires 2 points in Block Block.

Notes


Patch History

V5.22
  • Removed due to Season 2016.
V3.14
  • Added
  • Tier 2 Defense mastery with 1 rank.
  • Reduces all incoming damage from champions by 2 / 1.

Defense Mastery Tree
(2013)

<imagemap>: l'immagine non è valida o non esiste

Other Mastery Trees:
25px Offense25px Utility

Unyielding was a tier 3 Defense mastery with 2 ranks.


Effect per Rank

Requirements

  • Requires 8 points in Defense.

Notes

  • Ability damage is reduced as well, making Unyielding optimal against damage over time.


Patch History

V3.14
  • Removed due to Season 2014.
V1.0.0.152
  • Added
  • Tier 3 Defense mastery with 2 ranks.
  • Reduces damage from champions by 1 / 2.

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