[Math] 1) Necro - Reaper's Scythe Kills
Posted 05-02-2012 at 11:17 PM by KuroNeko
Today - the hp% values at which Necrolyte's Reaper's Scythe is fatal, and the process to find them.
This is a fun little calculation that I hate to memorize because calculating DotA math fresh is so gosh darn entertaining (don't judge me).
As always, I'll walk you through this one.
Scythe deals 0.4/0.6/0.9/1.2 dmg per hp missing.
Scythe will kill its target when the target's missing hp multiplied by damage factor is equal to or greater than their remaining hp.
But don't forget spell Resistance. For our purposes, we will assume the default 25% spell resistance. This 25% resist is the same thing as reducing damage factor by 25%.
Variables - the variables involved are "h" current hp, "d" damage factor, "r" spell resistance. Missing hp is the same as (100%-h).
Therefore, here is our equation:
Current Hp = (1-Resist)(Damage Factor)(Missing Hp)
h = (1-r)(d)(100-h)
h = (.75)(d)(100-h)
h = 75d-.75dh
And now you just plug in numbers.
Lvl1
h = 75(.4)-.75(.4)h
h = 30-.3h
1.3h = 30
h = 23.07%
Lvl2
h = 75(.6)-.75(.6)h
h = 45-.45h
1.45h = 45
h = 31.03%
Lvl3
h = 75(.9)-.75(.9)h
h = 67.5-.675h
1.675h = 67.5
h = 40.30%
Lvl4
h = 75(1.2)-.75(1.2)h
h = 90-.90h
1.90h = 90
h = 47.37%
Composed with love and care from my iPhone 3gs, this has been a day of maths with KuroNeko. Hopefully you learned something. More to come.
This is a fun little calculation that I hate to memorize because calculating DotA math fresh is so gosh darn entertaining (don't judge me).
As always, I'll walk you through this one.
Scythe deals 0.4/0.6/0.9/1.2 dmg per hp missing.
Scythe will kill its target when the target's missing hp multiplied by damage factor is equal to or greater than their remaining hp.
But don't forget spell Resistance. For our purposes, we will assume the default 25% spell resistance. This 25% resist is the same thing as reducing damage factor by 25%.
Variables - the variables involved are "h" current hp, "d" damage factor, "r" spell resistance. Missing hp is the same as (100%-h).
Therefore, here is our equation:
Current Hp = (1-Resist)(Damage Factor)(Missing Hp)
h = (1-r)(d)(100-h)
h = (.75)(d)(100-h)
h = 75d-.75dh
And now you just plug in numbers.
Lvl1
h = 75(.4)-.75(.4)h
h = 30-.3h
1.3h = 30
h = 23.07%
Lvl2
h = 75(.6)-.75(.6)h
h = 45-.45h
1.45h = 45
h = 31.03%
Lvl3
h = 75(.9)-.75(.9)h
h = 67.5-.675h
1.675h = 67.5
h = 40.30%
Lvl4
h = 75(1.2)-.75(1.2)h
h = 90-.90h
1.90h = 90
h = 47.37%
Conclusion:Buying Aghanim's for Necro solely for the ultimate boost is not worth it. The only time that you should get it is in a situation where you can really make use of the stats and survivability (+390hp, +290mp) too.
Lvl1 23.07% Lvl2 31.03% Lvl3 40.30% Lvl4 47.37%
Composed with love and care from my iPhone 3gs, this has been a day of maths with KuroNeko. Hopefully you learned something. More to come.
Total Comments 4
Comments
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Yeah, I'd rather buy dagon, although the stats + ulti upgrade from AS as a whole is nice for a caster hero who needs to be tanky.
And it seems you like math, can I ask you the damage from two lvl4 maledicts stacked on one hero deal assuming no other source of damage. :)Posted 05-04-2012 at 03:53 AM by Louie. 
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Agh's actually gives 280 mana, not 290. Minor detail.
Of course, it also gives 10 dmg, 10 IAS, and 1.4 armor.
Additionally, it reduces the cooldown at levels 1 and 2 (but not 3) and the manacost at level 1, if you can get it that early.Posted 12-26-2012 at 03:07 AM by EebstertheGreat
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It's actually worth to rush aghs against naix, centaur and such.
They're pretty fat and the time you would spend dealing 500 extra damage to finish with ulty would be crucial for you or your teammates.
Not to mention that tankability against these guys is never hurts.
Well, against ghoul it does hurt, but whateverPosted 12-26-2012 at 04:13 AM by Mordewolt
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I would rather invest the gold on a shiva instead of an aghs.Posted 12-26-2012 at 07:31 AM by darewin
