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

On 6/18/07, Dan Asimov <dasimov@earthlink.net> wrote:

Derivations are defined for rings, fields, and algebras. Cf. http://en.wikipedia.org/wiki/Derivation_%28abstract_algebra%29 .

--Dan

There's also the concept of a number derivative: { 0 if k = 0 or 1 k' = { 1 if k prime { p' q + p q' if k = p q http://en.wikipedia.org/wiki/Number_derivative I extended the idea to finite fields here: http://www.cs.uwaterloo.ca/journals/JIS/VOL8/Stay/stay44.html -- Mike Stay metaweta@gmail.com http://math.ucr.edu/~mike