eⁱˣ = cos(x) + i sin(x)pic.twitter.com/4fCuF4LOY3
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A natural question is: Why is this animation smooth? The answer is that you can define the so-called fractional derivative, which generalizes nth derivative to a real number of derivatives The fractional Taylor series smoothly interpolates between integer derivativespic.twitter.com/757q5yvu7k
12 replies 111 retweets 677 likesShow this thread -
eⁱˣ convergence spirals (x = π/2, π , 3π/2, 2π)pic.twitter.com/5mVZe9DBjL
12 replies 128 retweets 636 likesShow this thread -
Replying to @InertialObservr @rlmcelreath
Very nice. I also think it looks nice read as x = (1/4)τ, (2/4)τ, (3/4)τ, (4/4)τ
1 reply 0 retweets 5 likes
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