On Thu, Jun 19, 2014 at 9:39 AM, David Smith <[email protected]> wrote:
> I could live with nthroot -- but is cuberoot (or curt or cbrt) so different
> from sqrt?

Cubic roots are much less common. They don't even have their own
(unparameterized) symbol. I think some kind of a (real?) nth root
function makes sense.

> Anyway, it would be nice to have functions that resemble ones
> students see routinely without generating error messages.  I'm very much
> aware of the difficulties involved in reaching that goal, and I'll be
> patient.
>
> Still waiting for a solution on arcsec, as well.  There the issue is
> primarily plotting, although "integral" fails, even with a proper domain.
> numerical_integral works as it should.
>
> In the great scheme of things, these are certainly peripheral issues -- and
> they wouldn't be issues at all if textbook authors didn't feel obliged to
> drag in every function they know about.  As author, I'll guilty of that too
> (fear of the adoption committee), but in my defense, we only do these things
> in exercises.

It might not hurt to include a script for your students to copy/import
that makes common definitions you want.

> On Wednesday, June 18, 2014 8:48:36 PM UTC-4, kcrisman wrote:
>>
>> Just to chime in, as someone who has dealt with this question a lot
>> (though, perhaps ironically, never in a classroom situation):
>>
>> I would be very against a "cuberoot" function, but an "nthroot" function
>> where it was really clear what input was allowed could fly.  I appreciate
>> Greg's rationale.  Note however - what is the 0.1 power? Is that the same as
>> the 1/10 power?  This is a tricky floating point question to interpret.
>>
>> I don't think that the slowdown would be too bad since it would primarily
>> be for pedagogical purposes for plotting.
>>
>> David, I don't know how this would work with integrals, though - we'd have
>> to see if Maxima had something equivalent.  Perhaps it could do a temporary
>> set of the Maxima domain to real somehow, if that is what allows Maxima to
>> do the "right thing" in this context, I don't know.
>>
>> Thanks for fighting the good fight on trying to resolve this once and for
>> all!
>> - kcrisman
>
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