User blog:Googleaarex/Warp Notation

Basic
n%1 = n!, n%m = (n%m-1)! and n% = n%n


 * 1) n%m = ((...((n)!)!...)!)!/w m nested (1 rule.)

Growth rate: \(f_3(n) ~ n%n\)

Extending to multiple %'s
n%%...%%1 = n%%...%, n%%...%%m = (n%%...%%m-1)%%...% and n%%...%% = n%%...%%n


 * 1) n%m = ((...((n)!)!...)!)!/w m nested
 * 2) n%%...%% = n%%...%%n
 * 3) n%%..%%m = ((...((n)%%...%)%%...%)...)%%...%)%%...%

Growth rate: \(f_\omega(n) ~ n%%...%%n\)

Dimensional %'s
Let # is rest of array.

So n # %m = ((...((n) # ) # ...) # ) # /w m nested.

n # %xm = n # %x-1%x-1...%x-1%x-1/w m %x-1's
 * 1) n%m = ((...((n)!)!...)!)!/w m nested
 * 2) n # = n # n
 * 3) n # % = ((...((n) # ) # ...) # ) # /w m nested
 * 4) n # %xm = n # %x-1%x-1...%x-1%x-1/w m %x-1's

Growth rate: \(f_{\varepsilon_0}(n) = n%_{%_{...}}n\)

Introducting s
Coming Soon!