Hi Ronan! On Tue, Feb 22, 2011 at 7:12 PM, Ronan Lamy <[email protected]> wrote: > I think that a significant part of the difficulties in the discussions > about Taylor series and the like has been the lack of a common and > unambiguous vocabulary. So, I've started a wiki page defining some > concepts in order to clarify things: > https://github.com/sympy/sympy/wiki/Function-expansions > Feel free to expand or amend it, add links to and from it, etc. > NB: I had to use Markdown syntax because I couldn't figure out how to > get LaTeX to work in rST.
Thanks for writing this up, it will greatly help, and then we can refactor it into sphinx later on (don't worry about using Markdown, that's ok). I agree with your definition of formal power series. Also with Laurent + Taylor series. So in other words, for analytic functions, Laurent series is a Taylor series divided by some x^m (where m is an integer). I agree with your O() definitions. Should we enable O() symbols around different points than x=0 in sympy (including x=oo)? It now seems to me we probably should. How does asymptotic series fit into this? Series of the type 1 + 1/x + 1/x**2 + 1/x**3 and so on. Can it be viewed as Laurent series around the point x=oo? This should be clarified and put there as well. Ondrej -- You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
