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by jayshua 2332 days ago
I’d probably go with “e^pi*i = -1”. Kinda cliched, but I really love that equation.
3 comments

Then you would have worry about the tau-ists: https://tauday.com/tau-manifesto
lol. I'm actually one of them. "e^tau*i=0" is my preferred form. I don't tend to bring it up because we're a little crazy and I don't want to draw attention to myself.
shouldn't it be e^tau*i = 1 if tau is 2pi?
Oops, typo. You're right. You could also write "e^tau*i = 1 + 0" to relate the "5 most important numbers in math" but that form always seemed a bit forced to me.
If you write "-1 * e^(tau * i) + 1 = 0" you can reasonably claim to relate six important numbers: -1, e, tau, i, 1, and 0. IMHO that looks a bit less forced than the version with "1 + 0", though of course it's not the simplest form. (I mean, that "+ 0" could have been inserted almost anywhere...)
Someone once showed me this "big brain" version of the equation: ceil[e] - floor[pi] = 0 :)
What ?

And Euler's formula is about rotations in a 2D plane and the way complex exponentiation describes it.

This looks like it loses important information ?

Oh yeah, it's definitely just a stupid joke equation. Probably only funny to anybody who's seen Euler's equation a thousand times.
Oh, lol, ok, I didn't get it because I was searching for something less stupid ! XD
Or, better yet, e^pi*i + 1 = 0. (My personal preference is E = mc^2.)
Why not E^2 = m_0^2 c^4 + p^2 c^2?