In the discussion of the argument of a complex number, I removed the following:
- Note that this is exactly the same problem encountered when trying to define the inverse tangent as a function. The connection becomes more transparent when one considers that the formula for calculating arg(z) is arg(z) = arctan(b/a) if z = a + i b.
The values of the arctan function lie between -Pi/2 and +Pi/2, while arguments of complex numbers lie between -Pi and +Pi. The arctan formula for arg(
z) is therefore incorrect. Most programming language have a function atan2(
b,
a) which returns the proper argument of
a +
i b by taking the signs of
a and
b into account. --AxelBoldt
You can see the translation to spanisn in http://es.wikipedia.com/wiki.cgi?Números_Complejos --Atlante
A graphical explanation is better than words. Should add images sometime. --Wshun
All Wikipedia text
is available under the
terms of the GNU Free Documentation License