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April 21st, 2012, 04:10 PM   #1
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[Complex Numbers] Inquiry about relationship

Hi,

I was not sure where to post this but apparently it had some kind of extended link to Euler's Theorem (although I do not know anything about it...) Feel free to move the post

I'm trying to do this proof by induction about complex numbers and I'm stuck..
I do not want to tell you exactly what it is because I wish to finish it myself. There is just this bit that I have never learnt and that I would like to understand..

Could someone tell me how I can substitute one into another or if any relationship exists mathematically here (see attachment)

Thanks a lot in advance
XmathY
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April 21st, 2012, 05:15 PM   #2
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Re: [Complex Numbers] Inquiry about relationship

*Woops sorry, there is not ment to be an "i" at the bottom of the two PIs.
"i" is "r"min.
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April 22nd, 2012, 12:46 AM   #3
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Re: [Complex Numbers] Inquiry about relationship

Let .





Is that what you're looking for?
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April 22nd, 2012, 04:26 AM   #4
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Re: [Complex Numbers] Inquiry about relationship

Quote:
Originally Posted by brangelito
Let .





Is that what you're looking for?
Thanks a lot but how about for this:
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April 22nd, 2012, 04:35 AM   #5
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Re: [Complex Numbers] Inquiry about relationship

* No sorry, the beginning is [color=#FF0000]wrong[/color], ignore that, it would be :

and

Are you saying that



Thanks in advance :P
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April 22nd, 2012, 09:42 AM   #6
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Re: [Complex Numbers] Inquiry about relationship

I'm not sure what you're looking for. Could you please explain what you mean by your notation, because all I see is some number multiplied by itself (r-2) times.
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