User blog comment:Mh314159/Alpha numbers (and beyond)/@comment-35470197-20191007022858/@comment-35470197-20191015041042

I see. Thank you for the detail. I assumed that you are asking the strength of the whole system given as a total function, but you are just considering a partial function. When you create a partial function, then it is good to tell us the domain, the partiality, or the create functions like \(\beta(x) = \alpha[x,x,x]\) or \(F(x) = f\{x,x,x\}(x)\) in order to clarify that the system is not intended to be total.

> f{1,1,0}(x) simple follows the drop trailing zeroes rule and becomes f{1,1}(x).

Oops. I misunderstand the rule. This is just my failure. Sorry about it. I skipped it because I though that it is just a declaration of a name of a rule.

Then I will check the growth rate later.