User:Googleaarex/Exploding Pound-Star growth rate

And now, Aarex (Googleaarex) show the growth rate of Exploding Point-Star Notation! Let start with #^~.


 * 1) ^~ has FGH growth rate ω2


 * 1) ^~* has FGH growth rate ω2+1


 * 1) ^~^ has FGH growth rate ω2+ω


 * 1) ^~^~ has FGH growth rate ω2*2


 * 1) ^~^~^~ has FGH growth rate ω2*3


 * 1) ^ has FGH growth rate ω3


 * 1) ^^ has FGH growth rate ω3+ω


 * 1) ^^~ has FGH growth rate ω3+ω2


 * 1) ^^ has FGH growth rate ω3*2


 * 1) ^   has FGH growth rate ω4


 * 1) ^  ^   has FGH growth rate ω4*2


 * 1) ^ ~  has FGH growth rate ω5


 * 1) ^   has FGH growth rate ω6

As the result, the Exploding Point-Star Notation believed to have a limit of about fωω in the Fast-growing hierarchy.