Make games on your phone.
Get the app!
AndroidiOS
Castle
4 Comments
Next up
Googology Chart v1.0 #googology #
The fast growing hierarchy "FGH" is a very explosive family of function, you create it using this simple sequence: f_0(n)=n+1 f_1(n)=f_0(n) iterated n times=2n f_2(n)=f_1(n) iterated n times=(2^n)×n and you get the point For limit ordinals such as omega: f_w(n) or f_{w[n]}(n) equalates to f_n(n) meaning f_w eventually dominates any fixed finite k on f_k, Rule in FGH:"f_a+1(n)=f_a(n) iterated n times" meaning f_w+1(n)=f_w iterated n times, this creates a chain reaction of fast growing functions For refrence:grahams function is bounded by f_w+1(n), f_w+2(n) dominates Grahams function by not a tiny bit but by a large large large margin. For fixed points and extended: f_{w×2}(n) or f_{w+w}(n) equals f_{w+n}(n). f_{(w×2)+1}(n)=f_{w×2} iterated n times, meaning f_{w×k}=f_{w×(k-1)+n}(n) f_{w×w}=f_{w×n} f_{(w×w)×2}=f_{(w×w)+n} f_{(w×w)×3}(n)=f_{((w×w)×2)+(w×n)} f_{w^3}=f_{((w×w)×n-1)+(w×n)}.
Reply
make more numbers now
Reply
Warning: this Deck is in Beta, so don't expect to much for now
Reply