Go backward to Polar Representation of Complex Numbers Go up to Top Go forward to Relationship |
polar: C -> C' polar(z) = (sqrt(z02+z12), alpha) where alpha= if z0 = 0 then if z1 > 0 then pi /2 else 3 pi /2 else let a = arctan(z1/z0): shift(if z0 >= 0 then a else pi -a)
shift: R -> [0,2 pi [ shift(a) := (such b: b in [0,2 pi [ /\ exists i in Z: a-b = 2 pi i)
Translation from original domain into new domain.