Which actually makes me think of one change that might be helpful. When we
have a power series of infinite precision then why not print an additional
O(x^oo), that is $O(x^{\infty})$. That would, indeed, help to distinguish
infinite precision power series from polynomials. It only requires a minor
change in _repr_ and _latex_, I suppose.
Martin
Am Mittwoch, 22. Januar 2014 17:41:24 UTC+1 schrieb Peter Bruin:
>
> Hi Travis,
>
> so it looks like the 0*O(x^20) is just suppressed from the output in the
>> (formal) power series ring.
>>
>
> If you mean that this is suppressed when printing FPS(f): no, actually
> FPS(f) has infinite precision, even though its parent FPS has a finite
> default precision. Only when computing 1/f does the O(x^20) arise; the
> default precision is used here because the result cannot be expressed as a
> power series with infinite precision.
>
> Peter
>
>
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