Timeline

[tommy1729]

Much to discuss.

I have not read everything yet, well maybe I have. I mean i have not looked at all links but things look very familiar.

I looked at this link :

http://www.mrob.com/pub/math/ln-2deep.html#ack

And was reminded of some of my ideas and some of my friend mick.

Ignoring zeration , exp^[n](ln^[n](a) + ln^[n](b) , and the alike mainly stuff like this :

https://math.stackexchange.com/questions...eroperator

Posted on mathstackexchange by mick where F is his and T is mine. ( I am that friend )

I had ideas of making it analytic , changing the base , growing faster or slower then tetration , more variables etc.

actually what i originally had in mind was 

T(0,a,b,v,u) = a + b + v
T(n,0,c,v,u) = n + c + v = T(n,c,0,v,u)

otherwise

T(n,a,b,v,u) = T(n-1,T(n,a-1,b,v,u),T(n,a,b-1,v,u),v+u,u)


I believe this can express nice asymt to tetration for a given base or superfactorial type functions.


more research is needed.



Regards 

tommy1729