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xeonmctoday at 5:35 AM2 repliesview on HN

Never liked that form of the Euler's formula. I prefer the following:

    (-1)ˣ = cos(πx) + i sin(πx)

Replies

penteracttoday at 8:24 AM

My objection to that is that there isn't a particularly natural reason not to say

       (-1)ˣ = cos(πx) - i sin(πx)
As a formula about e^iπx, there is no such conflict.
badlibrariantoday at 6:00 AM

That's not the point of the Identity. You exponentiated the beauty right out of it.

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