u/Super_Dimension7561

SPP, alright, redo, I removed the bothersome typo. Would you agree with the attached image, and if not, PLEASE provide your line of reasoning as to why it's wrong.

u/Super_Dimension7561 — 4 days ago

SPP and his derivatives

Based on the comment above, let us define (with some assumptions) the derivative of function f at position x as

https://preview.redd.it/qvw0gqa5pm8h1.png?width=435&format=png&auto=webp&s=6754cf89283cf1e7d31d967bbedc7888c2bd4bb0

where ε=0.000...01. Then, for f(x)=x^(a), where a∈ℕ,

https://preview.redd.it/2v31vs4vqm8h1.png?width=777&format=png&auto=webp&s=2a39da95c807126249caf5c782896fa229573522

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?

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u/Super_Dimension7561 — 15 days ago

SPP, question about 1/0.999...

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?

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u/Super_Dimension7561 — 19 days ago