Attempt to formally generalize log, exp functions to 3,4,5..(n,m) log exp

[Ivars]

Thats not difficult if it is only for one point \( x_0 \). Just define \( f(x)=0 \) for \( x<x_0 \) and \( f(x)=1 \) for \( x>x_0 \) and \( f(x_0) \) as you like.

No, for all real points \( x_0 \). \( f(x_0) \) remains arbitrary for time being, just a. May be some a is better than other.

If existing , I wonder if such function has connections to Kronecker Delta, Heaviside Step, and Dirac Delta functions.

Ivars