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On the following website there is some math on whether to use the warrior ability Slam or not, namely the three inequalities. While I understand the first inequality:

[(Avg. Weap. Dam.)+140]*1/1.5 > [(Avg. Weap. Dam.)+176]*1/(Weap. Speed)

I am having difficulty understanding how the next two inequalities are derived and how they help in deciding on whether to use Slam or not:

(Avg. Weap. Dam.) > [264/(Weap. Speed) -140]/[1-1.5/(Weap. Speed)]

(Avg. Weap. Dam.) > [HS*1.5/(Weap. Speed) -S]/[1-1.5/(Weap. Speed)]

Can anyone help interpret this?

  • thanks for the maths xD – Chund Oct 21 at 14:25
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What the author is saying in the article you mentioned is, that he used basic arithmetic trasformations to get to the inequations below. If written as ratios it is more readable [substitution X for Avg. Weap Dam. and Y vor Waep Speed] i would recommend writing it down for clearity.

Operation used is written behind "|"

[X+140]*1/1.5 > [X+176]*1/Y |*1.5

<=> X+140 > [X+176]*1.5/Y

<=> X+140 > 1.5*X/Y + 264/Y | -1.5*X/Y

<=> X+140 - 1.5*X/Y > 264/Y | -140

<=> X - 1.5*X/Y > [264 - 140 Y]/Y

<=> (1 - 1,5/Y)*X > [264 - 140 Y]/Y

<=> X > [264 - 140 Y]/[Y*(1-1.5/Y)] = [264 - 140 Y]/[Y - 1.5*Y] = [264 - 140 Y]/[(1-1.5)*Y]

<=> X > [264 - 140 Y]/[-0.5*Y]

Now all he did to reach the 3rd equation is reintroduce that 264 = HS*1.5 and 140 = S for Heroic Strike's and Slam's bonus damage respectively. Leaving you with the desired equation.

And finally the author is saying that if your pair of Weap Speed and Avg Dmg fulfill this inequality you should use Slam instead of HS.

Feel free to ask for details.

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    So why this rearrangement anyway? Isn't the first inequality enough to calculate which is better? – Michael Munta Oct 21 at 20:34
  • Well yes of course it is, but that was not your question :D (And i liked to do a little math in my break :P) – Chund Oct 21 at 21:04

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