Hi Nils!

On 28 Jul., 19:48, Nils Bruin <[email protected]> wrote:
> Actually, differentiation of polynomials (just as a formal operation)
> has a lot of algebraic meaning,

Sure. But certainly you agree that there is a difference between the
non-zero polynomial x^2+x in GF(2)['x'] and the function
  GF(2)  --> GF(2)
    x      -->  x^2+x
(which is constantly zero). And correct me if I'm wrong, but I learnt
that differentiation is about functions.

Anyway. While differential rings are certainly nice algebraic
structures, I feel uncomfortable to think of a derivation as some
calculus stuff.

> ... but it's often called "taking
> derivative".

And that's the question to the OP: From your preceding post, I
understood that you intend to do calculus (which suggests to use
symbolics and differentiation). Or will it be more algebraic (which
suggests to use polynomials and taking derivatives)?

Cheers,
Simon

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