On Tue, Jan 17, 2017 at 7:26 AM, Tom Clark <tclar...@gmail.com> wrote:
> My students had trouble with plotting cos(x^(1/3)) as a homework problem.
> What's happening is that x^(1/3) generates a primitive complex root so I
> explained that to them, then I found this work around:
>
> def oddroot(x,n):
>       sgn(x)*(abs(x))^(1/n)

Slight typo:

def oddroot(x,n):
      return sgn(x)*(abs(x))^(1/n)

For example:

https://cloud.sagemath.com/projects/4a5f0542-5873-4eed-a85c-a18c706e8bcd/files/support/2017-01-17-075640-odd-root.sagews

Thanks,

William

>
> This is work for any odd number n and will plot nicely over all of R.  I see
> others have had this question on the forum so I thought I'd share.
>
> I don't know if the devs want to implement something like this into SAGE
> more generally, probably not, but at least this is a work around for simple
> graphing etc.
>
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-- 
William (http://wstein.org)

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