### Author Topic: e^(pi*i)  (Read 6403 times)

0 Members and 1 Guest are viewing this topic.

#### BCTurk

• Guest
##### e^(pi*i)
« 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.

• LV9 Veteran (Next: 1337)
• Posts: 1143
• Rating: +5/-2
##### e^(pi*i)
« 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.
One of these days I'll get a sig I'm really proud of.

#### Liazon

• Guest
##### e^(pi*i)
« 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.

#### BCTurk

• Guest
##### e^(pi*i)
« 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.

#### necro

• LV9 Veteran (Next: 1337)
• Posts: 1295
• Rating: +17/-2
• +3 vaporal mustache
##### e^(pi*i)
« Reply #4 on: January 05, 2006, 06:12:00 pm »
I guess the truth realy is scarier than fiction...
I'm like a woot burger with awesome fries

VB.Net, C#, C++, Java, Game Maker