(New page: ==Norm and Agrument of a Complex Number== For any complex number :<math>z = x + iy\,</math> The '''norm''' (absolute value) of <math>z\,</math> is given by :<math> |z| = \sqrt{x^2+y^2}...) |
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Revision as of 18:18, 5 September 2008
Norm and Agrument of a Complex Number
For any complex number
- $ z = x + iy\, $
The norm (absolute value) of $ z\, $ is given by
- $ |z| = \sqrt{x^2+y^2} $
The argument of $ z\, $ is given by
- $ \phi = arctan (y/x)\, $
Conversion from Cartesian to Polar Form
- $ x = r\cos \phi\, $
- $ y = \sin \phi\, $
- $ z = x + iy = r(\cos \phi + i \sin \phi ) = r e^i\phi\, $
