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e^(pi*i)
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Topic: e^(pi*i) (Read 7288 times)
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BCTurk
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e^(pi*i)
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on:
January 02, 2006, 06:43:00 pm »
Ok, so calcul831415 has e^(pi*i)=-1, and he doesn't know why. While doing math hw, I stumbled upon Euler's Forumula, which states that e^(x*i) = cos(x)+sin(x)*i. Therefore, cos(pi) = -1, sin(pi) = 0 *i = 0, 0+-1=-1. There you have it.
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Radical Pi
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e^(pi*i)
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Reply #1 on:
January 02, 2006, 11:59:00 pm »
That must be the inverse of ln(-54125+1)=imaginary pi.
It would be cool if pi was a repeating decimal, but it would have about 1000000 digits in each cycle.
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Liazon
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e^(pi*i)
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Reply #2 on:
January 05, 2006, 03:47:00 pm »
thanks! Actually, I intended it to be a joke, but now I've changed it.
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BCTurk
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e^(pi*i)
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Reply #3 on:
January 05, 2006, 04:48:00 pm »
Sorry about the spelling, I was tired and the name didn't register. I know it was a joke, and the explination is kinda ment to be one as well, lol.
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necro
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e^(pi*i)
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Reply #4 on:
January 05, 2006, 06:12:00 pm »
I guess the truth realy is scarier than fiction...
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e^(pi*i)