







Based on the comment above, let us define (with some assumptions) the derivative of function f at position x as
where ε=0.000...01. Then, for f(x)=x^(a), where a∈ℕ,
For 0≤a≤2, the value is the same as for the non-RDM derivative, but for higher a,
[x^(3)]' = 3x^(2)+ε^(2)
[x^(4)]' = 4x^(3)+4xε^(2)
[x^(5)]' = 5x^(4)+10x^(2)ε^(2)+ε^(4)
And so on.
Now, question for SPP: do you accept this as the RDM derivative, or does the definition have some sort of caveat or misunderstanding in it?
Can the number 1/0.999...=1.000...01000...01000...010... be expressed as the infinite sum 1+(0.0...01)+(0.0...01)²+(0.0...01)³+...? If not, where does the inaccuracy lie?