Complex numbers exponential: Difference between revisions

Revision as of 14:28, 25 December 2006

Revision as of 14:29, 25 December 2006

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where : r,k,q are the absolute values or also called modulus and <math>\theta ,\varphi , \phi</math> are argument values

'''Then : x power by y we get :-'''

:<math> x^{y} = (r e^{i\theta})^{(k e^{i\varphi})} = e^{k[(\cos(\varphi) \ln(r)+ \sin(\varphi) \theta)+ i (\cos(\varphi) \theta - \sin(\varphi)\ln(r))]} \,</math>