Vitalik Buterin
@vitalik.eth
Expired: e ^ (i * π) = -1 Tired: e ^ (i * τ) = 1 Inspired: i ^ i is a real number (!!)
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Ed
@eds
Here's how I thought of it algebraically x = i ^ i x = e^( (ln i) * i ) What is (ln i)? Let (ln i) = Q e^Q = i e^(i*Q/i) = cos Q/i + i sin Q/i i = cos (Q/i) + i sin (Q/i) i = cos(pi/2) + i sin(pi/2) thus Q/i = pi/2 Q = pi/2*i x = e^( Q * i ) x = e^( pi / 2 * i * i) x = e^( pi / 2 * -1) x = ~0.2079
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