On Feb 22, 2011, at 8:12 PM, Ronan Lamy 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.
> 
> Also while writing it, I've noticed 2 additional problems with
> Expr.series:
> * The order is off by one.
> * Its name is misleading since it doesn't return a series. 

I agree.  1 + x + x**2/2 + O(x**3) is not a series.  A series would be 
something like summation(x**n/factorial(n), (n, 0, oo)).  We don't have 
anything like that implemented (though it would be awesome if we did).

On the other hand, "series" is a pretty standard name for that I think (Maple 
uses it  for the same thing, for example).

I think the answer is just to be clear in the docstring.

Aaron Meurer

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