Vitalik Buterin pfp
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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Cryptoflop pfp
Cryptoflop
@cryptoflop
how come?
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Ed pfp
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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kugusha 🦋 pfp
kugusha 🦋
@kugusha.eth
complex…
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Kurt Pan pfp
Kurt Pan
@kurtpan.eth
Recommend this classic “unusual” book about this topic: Visual Complex Analysis , by Dr. Tristan Needham.
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Choudaojun pfp
Choudaojun
@choudaojun
cool!
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Kitpalm pfp
Kitpalm
@kit928
You smart☺
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Tom pfp
Tom
@tomcat
It is interesting!
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lovelybaby pfp
lovelybaby
@flyingbird3
wow!666
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PD Love CRYPTO pfp
PD Love CRYPTO
@phongcaca0711
Very good
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Nik (ezbek) pfp
Nik (ezbek)
@ezbek
Vitalik thought you would like to know I bought some eth yesterday.
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