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#41
06-19-2006, 11:10 AM
 Kazodev Member SOA Join Date: May 2004 Posts: 3,393

Quote:
 Originally Posted by Westley Is it embarassing as a supposed "math geek" if I tell you that I don't see how that equation is true? Can you explain at a level appropriate for somebody who only got a BS, and it was many years ago? I have no idea how to use an imaginary exponent.
This is Euler's formula that says e^(i*theta) = cos(theta) + i*sin(theta) so since theta = pi, then e^(i*pi) = cos(pi) + i*sin(pi) = -1 + i*0 = -1
Edited to say theta = pi, sorry for the confusion, yes i = sqrt(-1) i.e. we choose the "positive branch of sqrt()"...I hope I worded that correctly. Don't want the math phds jumping on for this one

Last edited by Kazodev; 06-19-2006 at 11:34 AM..
#42
06-19-2006, 11:16 AM
 Westley Member Join Date: Nov 2001 Posts: 29,648

Thanks!
#43
06-19-2006, 11:26 AM
 Uncle Carl Member Join Date: Apr 2006 Posts: 1,424

Quote:
 so since i = pi
I don't really care about the answer and I'm not sure why I'm asking, but I thought i = -sqrt(1)?
#44
06-19-2006, 11:27 AM
 SamTheEagle Member SOA Join Date: Aug 2005 Posts: 56,584

Quote:
 Originally Posted by Uncle Carl I don't really care about the answer and I'm not sure why I'm asking, but I thought i = -sqrt(1)?
He meant theta = pi.
#45
06-19-2006, 11:28 AM
 Uncle Carl Member Join Date: Apr 2006 Posts: 1,424

Is the thing I put about i right?
#46
06-19-2006, 11:28 AM
 SamTheEagle Member SOA Join Date: Aug 2005 Posts: 56,584

Quote:
 Originally Posted by Uncle Carl Is the thing I put about i right?
No.
#47
06-19-2006, 11:30 AM
 Uncle Carl Member Join Date: Apr 2006 Posts: 1,424

Dang.
#48
06-19-2006, 11:30 AM
 Judge Dredd Member SOA AAA Join Date: May 2005 Location: Mega-City One Favorite beer: Bud Select Posts: 15,488

Quote:
 Originally Posted by Uncle Carl I don't really care about the answer and I'm not sure why I'm asking, but I thought i = -sqrt(1)?
what you wrote is -1.

IIRC, i = sqrt(-1)
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#49
06-19-2006, 11:31 AM
 SamTheEagle Member SOA Join Date: Aug 2005 Posts: 56,584

Quote:
 Originally Posted by Judge Dredd what you wrote is -1. IIRC, i = sqrt(-1)
You giant doofus, he was clearly pulling our collective leg.
#50
06-19-2006, 11:33 AM
 Wannabe Actuary Member SOA Join Date: Nov 2003 Location: in front of a computer screen Favorite beer: KCCO Gold Lager Posts: 32,353

Quote:
 Originally Posted by Uncle Carl I don't really care about the answer and I'm not sure why I'm asking, but I thought i = -sqrt(1)?
you've got the squirts? man, keep that to yourself!
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Quote:
 Originally Posted by rawl316 I like playing with myself