Comments on: Numbers & Letters http://www.navidazimi.com/archives/2005/01/20/numbers-letters/ losing faith in humanity, one person at a time Thu, 20 Nov 2008 16:04:35 +0000 http://wordpress.org/?v=2.6.2 By: Navid http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-7170 Navid Sat, 26 Nov 2005 05:09:30 +0000 http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-7170 Haha, I learned about this in complex analysis. The reason is that e^(i * pi) on the unit circle translate to -1. That is, your x-axis goes from -1 to 1 while your y-axis goes from -i to i. Therefore, if you draw the unit circle (the magnitude of i is 1), you can easily pinpoint -1 as the same angle as cos(pi) = -1. There's actually a formula for this where you can transcribe complex equations to sin and cosine. har har. I don't remember the equation off the top of my head, but it had something to do with sin being divided by 2 and cosine not. Or vice-versa. Whatever! Haha, I learned about this in complex analysis. The reason is that e^(i * pi) on the unit circle translate to -1. That is, your x-axis goes from -1 to 1 while your y-axis goes from -i to i. Therefore, if you draw the unit circle (the magnitude of i is 1), you can easily pinpoint -1 as the same angle as cos(pi) = -1. There’s actually a formula for this where you can transcribe complex equations to sin and cosine. har har. I don’t remember the equation off the top of my head, but it had something to do with sin being divided by 2 and cosine not. Or vice-versa. Whatever!

]]> By: Brad http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-1624 Brad Wed, 26 Jan 2005 00:13:57 +0000 http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-1624 ... That just makes my head hurt. … That just makes my head hurt.

]]> By: Mike http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-1613 Mike Mon, 24 Jan 2005 18:30:42 +0000 http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-1613 Come on, you disapoint me. Look at this formula: e ^ (i * pi) e is 2.71.... and is just some random number 1 + 1/1! + 1/2! + 1/3! + .... i is the square of -1, a number I can't even imagine. pi is also seemingly random, the relation between the circumference of a circle and its diameter. And yet e ^ (i * pi) = -1 Isn't that cool? Come on, you disapoint me. Look at this formula:

e ^ (i * pi)

e is 2.71…. and is just some random number 1 + 1/1! + 1/2! + 1/3! + ….

i is the square of -1, a number I can’t even imagine.

pi is also seemingly random, the relation between the circumference of a circle and its diameter.

And yet
e ^ (i * pi) = -1

Isn’t that cool?

]]> By: Brad http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-1595 Brad Sat, 22 Jan 2005 00:32:04 +0000 http://www.navidazimi.com/archives/2005/01/20/numbers-letters/#comment-1595 I'll take a d0z3n! I’ll take a d0z3n!

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