#19152: {Real,Complex}Ball: Miscellaneous fixes and improvements
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Reporter: mmezzarobba | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: numerical | Resolution:
Keywords: | Merged in:
Authors: Marc Mezzarobba | Reviewers: Clemens Heuberger
Report Upstream: N/A | Work issues:
Branch: public/19152-arb- | Commit:
misc | f43e94a46bc9c0f03ba63ee8538384180d89d306
Dependencies: #19063 | Stopgaps:
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Comment (by jdemeyer):
I was reading the `real_arb` documentation and this caught my eye:
> Warning
>
> Identical RealBall objects are understood to give permission for
algebraic simplification. This assumption is made to improve performance.
For example, setting z = x*x sets z to a ball enclosing the set {t2:t∈x}
and not the (generally larger) set {tu:t∈x,u∈x}.
I'm not sure that we should do that. It's not what intervals do: I would
expect `x*x` to be different from `x^2`.
--
Ticket URL: <http://trac.sagemath.org/ticket/19152#comment:35>
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