Guide to Choosing a Special Upgrade

[Justified]

It seems easy enough to start with a large damage range low balance char, say 20% balance 20-120 damage and see if...

Already done long ago.
http://i54.tinypic.com/2n0pj84.jpg

[Chinaboy475]

I havent really bothered to look at all the math but bows are considered 2 handed weapon too, so red uprade would be better once you have over 390 max damage correct?

[Sneakiest]

I havent really bothered to look at all the math but bows are considered 2 handed weapon too, so red uprade would be better once you have over 390 max damage correct?

When I plug in S3 bow upgrade versus R3 bow upgrade (now in hylian's equation) I get 362.

I know it is hard to reach this much average, or even max damage, using a bow outside of transform/spotlight, so I honestly suggest overupgrading bows of more than one type. Up to you how much crit should be on each one... but you will want to crit atleast 30% with your R-type, and it may only be effective to use during transform/spotlight... which would greatly change the suggested upgrade paths. (Or your R-type may be max damage upgraded for use with crash shot/elven magic missle/huge crit bonuses in trans/whatnot.)
I know it takes up a lot of inventory space, so don't be afraid to stick over-upgraded weapons in your bank tab.


Also, eventhough I feel Hylian's equation is not shown in its simplest proof form, I would like to confirm that after alteration--referencing "http://i54.tinypic.com/2n0pj84.jpg" and Hylian/Justinishere guidance--it becomes identical.

(S avg.) + 0.45 (S max) = 0.3r(max)

[which apparantly, though unknown to me beforehand, is equivalent to (Smin * 0.2 + Smax * 1.25) Now I see why though, as weighting minimum damage by 20% and adding it to max damage weighted by 80% would substitute as average damage. Thanks for the help refining my Mathsicles; I think Hylian's special-upgrade equation is really clean looking after realizing where the Smax*1.25 comes from.]
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Below is my updated equation.

(average with s) + (crit bonus w/ s) = (crit bonus w/ r) + (Average damage)

avg + S avg. + 0.45(max+S max.) = 0.3(max)(1.5+r) + Avg.

(S avg.) + 0.45max + 0.45(S max) = 0.45(max)+0.3r(max)

(S avg.) + 0.45 (S max) = 0.3r(max)


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And for bows g13:

18.8 + 9.45 = 0.3(0.26)(max)

28.25 = .078(max)
max=362.179487179



Edit: Also tbh I normally wouldn't have replied to your post chinaboy; how did you get to page 7 without looking at the math?