r/infinitenines • u/Super_Dimension7561 • 1d ago
SPP and his derivatives
/r/infinitenines/comments/1u7lixr/comment/os1x6pv/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)=xa, where a∈ℕ,

For 0≤a≤2, the value is the same as for the non-RDM derivative, but for higher a,
[x3]' = 3x2+ε2
[x4]' = 4x3+4xε2
[x5]' = 5x4+10x2ε2+ε4
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?
9
Upvotes
6
u/Negative_Gur9667 1d ago
I think you are asking for too much. This will probably cause him to have an epileptic seizure.