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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.
I think this is a bad idea. I believe that, as far as is possible, Sage output should reflect standard, contemporary mathematical notation. And I'm not sure anyone uses this notation.
From Martin Raum sage-devel:
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.CC: @rwst
Component: algebra
Keywords: power series
Issue created by migration from https://trac.sagemath.org/ticket/15720
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