12.02.2011 03:08, Chris Smith пишет:
These methods mostly give their answers in terms of series, so if
anyone could tell me how to go from series -> respective function
(if it exists), it would be great.
I've been working on the series in sympy and though I personally don't know the
methods for this, Alexey just mentioned the possibility of doing so and I think
he referred to Mathematica doing this.
/c
Sorry for the late answer.
I don't know Mathematica enough, and I do not remember that I have
mentioned about this opportunity (methods InverseSeries or Normal series
in Mathematica are something else)
But I found now that it contains something like this interesting
function: FindGeneratingFunction [1] (finite series), GeneratingFunction
[2] (infinity).
I am afraid that in general cases it is impossible with easy to
determine symbolic function from some series even if it exists.
I think that it is the sphere of the mathematical researches first of
all. And the skeleton of this procedure is probably based upon the
dictionary of various cases.
Nevertheless, it is intresting, and I think it can be realized after the
work with series tangle will be out.
[1] http://reference.wolfram.com/mathematica/ref/FindGeneratingFunction.html
[2] http://reference.wolfram.com/mathematica/ref/GeneratingFunction.html
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