On 07/08/2013 02:16 PM, Jason Resch wrote:
> This one is very interesting, but the fact that Pi was a poor choice for
> the constant makes the equation considerably more ugly than it should
> be. There is a growing movement to usurp the number Pi with the much
> more important constant "2*Pi"
> (see: http://www.math.utah.edu/~palais/pi.html ). If we call that new
> number tau (t). Then Euler's identity becomes:
> e^(t * i) = 1
I think part of the appeal of the original formulation is realizing that
the result of an exponentiation of a positive number can be a negative
number. While this is unremarkable with complex exponents, many people
are only used to seeing real (or even just integer) exponents.
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