Quote:
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Originally Posted by n00b
major probelm: you cannot take the ln of a negative number. therefore, the term ln e^(i * pi) cannot exist. i have another one of those phony proofs, its kinda fun:
let a=1, b=1
a = a
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
a + b = b
1 + 1 = 1
have fun =D
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Although, I think it would actually go like this:
let a=1, b=1
a = a
a^2 = ab
a^2 - b^2 = ab - b^2
(a + b)(a - b) = b(a - b)
This line gives you a division by zero error when you divide both sides by (a-b), because a-b = 0.
Also, e^i*pi is a perfectly valid expression that doesn't take the ln of a negative number. e^i*pi = cos(pi) + i sin(pi) = -1