Re: [math-fun] Continuous derivations on the reals

Quoting David Wilson <davidwwilson@comcast.net>:

Let [1] d(uv) = d(u) v + u d(v)

Then [2] d(u^2) = 2u d(u)

not when the quantities are noncommutative, as is typically the case when the object of discussion is a Lie Algebra. As for this implying a vanishing Maclaurin series, what does this say about ordinary functions, say polynomials, which do indeed have (non-zero) derivatives? - hvm ------------------------------------------------- www.correo.unam.mx UNAMonos Comunicándonos