Omnimaga

General Discussion => Other Discussions => Math and Science => Topic started by: BCTurk on January 02, 2006, 06:43:00 pm

Title: e^(pi*i)
Post by: BCTurk 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.

Title: e^(pi*i)
Post by: Radical Pi 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. :)

Title: e^(pi*i)
Post by: Liazon on January 05, 2006, 03:47:00 pm

thanks!  Actually, I intended it to be a joke, but now I've changed it.

Title: e^(pi*i)
Post by: BCTurk 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.

Title: e^(pi*i)
Post by: necro on January 05, 2006, 06:12:00 pm

I guess the truth realy is scarier than fiction...