User blog comment:Simplicityaboveall/Insanely Fast-Growing Functions/@comment-28606698-20170922185938/@comment-25912386-20171025165356

Denis Maksudov !

h(90,10) is not equal to f(w+90,10)  !!

h(90,10) = H(100) = f(w^2,10) = f(w10,10)=f(w9+10,10)

Also, f(w+90,10) is much greater than f(w2,10) which is equal to f(w+w,10)=f(w+10,10)

If you consider f(k,n) where k is the ordinal and n is the input, and if you limit n to 10,

you have f(k,10) and the successor ordinal for k increases as shown below after each iteration over previous function:

0,1,2, ..., 8, 9, w, w+1, w+2, ...,w+9, w2, w2+1, ..., w2+9, w3, ... ,w9, w9+1,...,w9+9, w^2, ... etc

In my work, w+90 is the 90-th successor ordinal after w, and this comes to the 100-th successor ordinal from 0. This comes to w^2.