Infraction for Yo!: Profile Infraction

Kaubel · 08/16/07, 9:25 PM

Post: Enhance Shaman: The Collected Works of Theorycraft, Vol I
User: Yo!
Infraction: Profile Infraction
Points: 1

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Original Post:

Originally Posted by Disquette

This and Yo!'s last post are things I agree with. I think of it as building a square, in many respcts. If your objective is to creat the maximum area, and your choices are to lengthen side x or side y, generally you're going to increase the area more by increasing which ever one is already shorter.

Now, we're not dealing with a square, but the attributes (hit/crit/haste/ap) can be seen analagously to one for the purposes of qualitative but not quantitative comparison. If you're really low on hit compared to the other dimension, you're going to get more bang for the buck increasing hit. This is a lot like what stigmata said in a recent post about his gear.

Disquette - it is a honor to talk the same theorycrafting language with you

Squre example was something that I wanted to post next!
Total damage = (1 + haste%) * (raw damage from weapon + damage from AP*upkeeptimeofunleashedrage(crit)) * (total chance to land an attack including Crit with x2 weight) * 7/5 * upkeeptimeoffurry(crit) * etc.. is a greatly simplified analytical model of Shaman's damage. Saddly, it can not be used instead of step-by-step simulations because the mathematical expectance Mf(x,y) is different from f(Mx,My).
But it is a good illustration that damage can be viewed as multidimensional cube or square if only 2 arguments are being compared.
So lets do it now

Lets assume Damage =f(Ap,Hit)= Ap*Hit*K(unknown static coefficient K that absorbs all other attributes).
If ap = 100, hit = 1 damage will be 100, 1 point of additional hit will increase total damage by 100, 1 point of additional ap will increase total damage by 1. Guess what - these are called derivatives, and the pair of these derivatives forms gradient (100, 1), wich is also known as AEP weights, 1 hit is worth 100 points and 1 ap is worth 1 point

If ap = 50, hit = 50 damage will be 2500, 1 point of additional hit will increase total damage by 50, 1 point of additional ap will increase total damage by 50. Weights are: 1 hit is worth 50 points and 1 ap is worth 50 points which equals to 1:1.
If one starts nude with 1 hit and 0 ap and has a budget of 100 Drgagon kill points that he can spent somehow 1 DKP per one stat point - he will achieve max damage output by spanding 49 points towards Hit, 50 points towards AP and the remaining point towards any stat. This will result in 2500 damage. If, for some reason this person thinks that AP is always better he will spent all 100 points on AP scoring 100 damage.

Squre example was something that I wanted to post next!

Total damage = (1 + haste%) * (raw damage from weapon + damage from AP*upkeeptimeofunleashedrage(crit)) * (total chance to land an attack including Crit with x2 weight) * 7/5 * upkeeptimeoffurry(crit) * etc.. is a greatly simplified analytical model of Shaman's damage. Saddly, it can not be used instead of step-by-step simulations because the mathematical expectance Mf(x,y) is different from f(Mx,My).
But it is a good illustration that damage can be viewed as multidimensional cube or square if only 2 arguments are being compared.
So lets do it now

Lets assume Damage =f(Ap,Hit)= Ap*Hit*K(unknown static coefficient K that absorbs all other attributes).
If ap = 100, hit = 1 damage will be 100, 1 point of additional hit will increase total damage by 100, 1 point of additional ap will increase total damage by 1. Guess what - these are called derivatives, and the pair of these derivatives forms gradient (100, 1), wich is also known as AEP weights, 1 hit is worth 100 points and 1 ap is worth 1 point

If ap = 50, hit = 50 damage will be 2500, 1 point of additional hit will increase total damage by 50, 1 point of additional ap will increase total damage by 50. Weights are: 1 hit is worth 50 points and 1 ap is worth 50 points which equals to 1:1.
If one starts nude with 1 hit and 0 ap and has a budget of 100 Drgagon kill points that he can spent somehow 1 DKP per one stat point - he will achieve max damage output by spanding 49 points towards Hit, 50 points towards AP and the remaining point towards any stat. This will result in 2500 damage. If, for some reason this person thinks that AP is always better he will spent all 100 points on AP scoring 100 damage.

Squre example was something that I wanted to post next!

Total damage = (1 + haste%) * (raw damage from weapon + damage from AP*upkeeptimeofunleashedrage(crit)) * (total chance to land an attack including Crit with x2 weight) * 7/5 * upkeeptimeoffurry(crit) * etc.. is a greatly simplified analytical model of Shaman's damage. Saddly, it can not be used instead of step-by-step simulations because the mathematical expectance Mf(x,y) is different from f(Mx,My).
But it is a good illustration that damage can be viewed as multidimensional cube or square if only 2 arguments are being compared.
So lets do it now

Lets assume Damage =f(Ap,Hit)= Ap*Hit*K(unknown static coefficient K that absorbs all other attributes).
If ap = 100, hit = 1 damage will be 100, 1 point of additional hit will increase total damage by 100, 1 point of additional ap will increase total damage by 1. Guess what - these are called derivatives, and the pair of these derivatives forms gradient (100, 1), wich is also known as AEP weights, 1 hit is worth 100 points and 1 ap is worth 1 point

If ap = 50, hit = 50 damage will be 2500, 1 point of additional hit will increase total damage by 50, 1 point of additional ap will increase total damage by 50. Weights are: 1 hit is worth 50 points and 1 ap is worth 50 points which equals to 1:1.
If one starts nude with 1 hit and 0 ap and has a budget of 100 Drgagon kill points that he can spent somehow 1 DKP per one stat point - he will achieve max damage output by spanding 49 points towards Hit, 50 points towards AP and the remaining point towards any stat. This will result in 2500 damage. If, for some reason this person thinks that AP is always better he will spent all 100 points on AP scoring 100 damage.