On Thu, May 14, 2009 at 1:19 PM, Bill Page <bill.p...@newsynthesis.org> wrote:
>
> On Wed, May 13, 2009 at 10:46 PM, Mike Hansen wrote:
>>
>> On Wed, May 13, 2009 at 6:58 PM, Bill Page wrote:
>>>
>>> Can someone explain this apparently inconsistent result?
>>
>> It's just operator precedence:
>>
>> sage: -(2.0^(1/3))
>> -1.25992104989487
>> sage: (-2.0)^(1/3)
>> 0.629960524947437 + 1.09112363597172*I
>>
>
> Clear. Thanks. Why this particular root?
>

I believe that it is the real 3rd root of 2 times the "natural"
primitive 6th root of 1, i.e. exp(2*pi*i/6).













-- 
Alex Ghitza -- Lecturer in Mathematics -- The University of Melbourne
-- Australia -- http://www.ms.unimelb.edu.au/~aghitza/

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