.is_real function
Why does "sqrt(5).is_real()" come up false when it is obviously not? This seems to happen with any square root.
1 Answer
Hi,
Never believe the symbolic ring as it can answer False when the result is True (hopefully a True is real True). To get the answer to your question, you would better do:
sage: QQbar(5).sqrt() in AA
TrueNote: QQbar is the set of algebraic number and AA is the set of real algebraic numbers.
Vincent
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Asked: 11 years ago
Seen: 660 times
Last updated: Jun 29 '14
There are many problems with this function. - sqrt(5).real_part() -> sqrt(5) - sqrt(5).imag_part() ->0 - sqrt(25).is_real() -> AttributeError: 'sage.rings.integer.Integer' object has no attribute 'is_real' - SR(sqrt(25)).is_real() -> True - SR(sqrt(5)).is_real() -> False - CC(sqrt(5)).is_real -> True
I think this is because `sqrt` gives a symbolic thing, which Sage would have to exert possibly significant computational effort to decide whether it is real (think of showing whether an arbitrary expression is zero) and so answers `False` since it can't prove `True`.
"sqrt gives a symbolic thing, ..." perhaps , but Sage knows that sqrt(5).imag_part() is 0 then it isn't so difficult to answer True at this question. But I have only notions of programming.