As Niles already said it would be better to have it as a symbolic function

sage: f(x) = real_nth_root(x, 5)
sage: f
x |--> real_nth_root(x,5)

2014-06-22 22:36 UTC+02:00, Gregory Bard <gregory.bard1...@gmail.com>:
> Yes, that is reasonable. Let us call it "real_nth_root" instead, as
> suggested by Nicolas Thiery. Any other requests/comments?
>
> It would be superb if this could be resolved by June 30th, when my
> book goes to the American Mathematical Society for publication...
> ---Greg
>
> On Sun, Jun 22, 2014 at 9:02 AM, William Stein <wst...@gmail.com> wrote:
>> On Sun, Jun 22, 2014 at 8:27 AM, Nicolas M. Thiery
>> <nicolas.thi...@u-psud.fr> wrote:
>>> On Fri, Jun 20, 2014 at 06:33:52PM -0700, Gregory Bard wrote:
>>>> It seems that the consensus on both Sage-devel and Sage-edu is to go
>>>> with some sort of nth_real_root function. I propose the following,
>>>> which I have tested for evaluation, plotting, differentiation, and
>>>> integration. Sadly, the derivative has a Dirac delta in it, which is
>>>> ... perhaps unavoidable because of the vertical tangency of the
>>>> cuberoot function at x=0. (Naturally, we can remove the asserts once
>>>> testing is completed.
>>>> ---Greg
>>>>
>>>> def nth_real_root( x, n ):
>>>
>>> Just 2 cents of outsider feedback since I have not followed the
>>> discussion, and am not knowledgeable on the topic. This names suggests
>>> to me that we look at all the real roots of n (for whatever this
>>> means), and then take the n-th one.  So maybe real_nth_root instead?
>>
>> +1
>>
>>>
>>> Cheers,
>>>                                 Nicolas
>>> --
>>> Nicolas M. ThiƩry "Isil" <nthi...@users.sf.net>
>>> http://Nicolas.Thiery.name/
>>>
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>>
>>
>> --
>> William Stein
>> Professor of Mathematics
>> University of Washington
>> http://wstein.org
>>
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