On Sunday 11 January 2009 15:48:09 Adam Majewski wrote:
> Hi,
>
> I make complex number in exponential form :
> R:16;
> T:1/3;
> Z:R*exp(T*%i*2*%pi);
>
> output is :
> 16*((sqrt(3)*%i)/2-1/2)
>
> Then check radius :
>
> r:abs(Z)
> 16
>
> it is good , but carg :
>
> (%i6) t:carg(Z)
> (%o6) (2*%pi)/3
>
> It gives 2/3 not 1/3 .
> Is it a bug ?
No. Complex argument of z is defined as angle \theta
(-\pi < \theta <= \pi) such that z = |z| exp (\theta i).
So is is clear that carg(R*exp(T*%i*2*%pi)) = 2*%pi*T.
--
Sweetmorn, Chaos 11 YOLD 3175
Alexey Beshenov http://beshenov.ru/