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- #1

- Mar 5, 2012

- 8,999

What does it mean?!

I mean, it says:

$e^{i \pi} + 1 = 0$

Now, I understand that if you calculate $e^{i \pi} + 1$ that you get 0.

But you can also rewrite it as:

$-1 = e^{i \pi}$

But how is that correct?

Isn't $-1$ multivalued, as in $e^{i\pi(1+2k)}$, while $e^{i \pi}$ is single valued?!

Or am I misunderstanding what the equality sign actually means?