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2 definitions for argument, why? 
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#1
Feb1714, 11:18 AM

P: 686

In the wiki, I found this definition for the argument:
http://en.wikipedia.org/wiki/List_of...al_definitions However, in other page of the wiki (http://en.wikipedia.org/wiki/Complex..._as_a_variable), I found this definition for argument:[tex]\arg(z) = \ln(\sqrt[2 i]{z \div \bar{z} }) = \frac{ln(z)  ln(\bar{z})}{2 i}[/tex]I don't understand why exist 2 defitions for the argument and how those 2 defitions are related. 


#2
Feb1714, 11:57 AM

HW Helper
Thanks
P: 1,008

[tex] i \log e^{i\theta} = i(i \theta) = \theta = \arg z. [/tex] It doesn't give [itex]\arg z[/itex] if [itex]z = R \neq 1[/itex]: [tex] i \log (Re^{i\theta}) = i \log R + \theta \neq \arg z [/tex] 


#3
Feb1714, 06:45 PM

P: 686

I liked your answer!



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