On Thu, May 14, 2009 at 11:06 AM, Jason Grout wrote:
>
> Bill Page wrote:
>>
>> Consider the problem to define
>>
>>   f(x) = x^(1/3)
>>
>> so that it takes the real branch for x < 0.  The best I have been able
>> to come up with so far is:
>>
>> sage: f = lambda x: RealField(53)(x).sign()*(RealField(53)(x).sign()*x)^(1/3)
>> sage: plot(f,(-2,2))
>>
>
> plot(lambda x: RR(x).nth_root(3), -5, 5, plot_points=20)
>
> This is from a mailing list discussion last year (Feb 2008?) on the same
> issue.  In fact, there have been several discussions of this.  Search
> sage-devel for "plotting cube roots", for example.
>

Ok thanks. I recall the discussion and I can indeed write:

sage: f=lambda x:RR(x).nth_root(3)
sage: f(-2.0)
-1.25992104989487

but I think I'll let my earlier comment stand:

>> I think there should be a more obvious way.

Regards,
Bill Page.

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