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
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> http://wstein.org
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