On Wed, Feb 15, 2012 at 21:07, Stephen Montgomery-Smith
wrote:
> I have a concern over I^(0.5). It is plus or minus (1+I)/sqrt(2). The
> difficulty I have is with the "plus or minus". It is possible to define the
> positive square root of a real number so that sqrt(ab)=sqrt(a)*sqrt(b). But
> y
On 02/15/2012 12:34 AM, William Stein wrote:
On Tue, Feb 14, 2012 at 10:15 PM, Dr. David Kirkby
wrote:
On 02/15/12 05:58 AM, William Stein wrote:
Hi,
A student in my class (Andrey Sarantsev) just pointed out to me that
in Sage-4.8 and Sage-5.0, we have
sage: I^(0.5)
None
What? That's not
On Wed, 15 Feb 2012 at 06:15AM +, Dr. David Kirkby wrote:
> What is sqrt(i), and why?
As for sqrt(i), if you represent it as exp(i*pi/2), there are two
numbers z that satisfy z^2 = i, namely exp(i*pi/4) and exp(i*5*pi/4).
Look up the polar form of complex numbers.
As for why: well, why should
On Tue, Feb 14, 2012 at 10:15 PM, Dr. David Kirkby
wrote:
> On 02/15/12 05:58 AM, William Stein wrote:
>>
>> Hi,
>>
>> A student in my class (Andrey Sarantsev) just pointed out to me that
>> in Sage-4.8 and Sage-5.0, we have
>>
>> sage: I^(0.5)
>> None
>>
>> What? That's not good.
>>
>> I'm not j
On 02/15/12 05:58 AM, William Stein wrote:
Hi,
A student in my class (Andrey Sarantsev) just pointed out to me that
in Sage-4.8 and Sage-5.0, we have
sage: I^(0.5)
None
What? That's not good.
I'm not just putting this on trac, because I don't even know how to
search for whether this is there