2011-03-26, 08:08 PM
(This post was last modified: 2011-03-27, 04:54 AM by 2147483647.)
DarkQThunder Wrote:edit2: the solution assuming sqrt function gives only N*cis [0,180) in complex plane is: a = b = 0 (N*cis theta in [180,360) = -1*N*cis (theta - 180) which has the same square).
Where'd the N come from?
cis(θ
= e^(iθ = cos(θ+i*sin(θWhy is θ only be defined on [0,π
and [π,2π, considering that arccos(θ is limited to [0,π and arcsin(θ is limited to [-π/2,π/2)? They're clearly different. I don't see what you're doing, other than rewriting cis(θ in a different way. If you're trying to square it:cis(θ
^2 = e^(iθ^2 = e^(-θ^2)That's just the Gaussian function.