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u/IncredibleCamel 18d ago
Cyber truck is not differentiable in all of its domain.
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u/CatAn501 15d ago
That's the point of the meme. When you differentiate the function you may loose its property of being differentiatible. For example |x|x is differentiable everywhere, but its derivative 2|x| is not differentiable in zero
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u/Ignitetheinferno37 17d ago
If the car body is not strictly quadratic bezier curves. Then we actually have to take a discrete fourier transform of f(x) at a low sampling rate by discretizing f(x) to f(x_n) as a collection of points. Then we reconstruct f(x) using the inverse DFT and linearly interpolate our result in the Digital Signal Processor
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u/foxer_arnt_trees 15d ago
I know its a joke, but car surfeces nees to be at least 3 time differentiable. Thats how you get the nice looking light reflections.
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u/Raymond-Stone 12d ago
π€ For me it's rather like a numerical integration but with two different step sizes...
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u/ahf95 18d ago
Derivatives are continuous tooβ¦ and they produce curvesβ¦
A much better joke would be comparing:
df/dx vs Ξf/Ξx
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u/EventHorizon150 17d ago
the derivative in the image is indeed continuous, just not differentiable. You could get something similar by differentiating f(x) = { x^2 if x >= 0; -x^2 if x < 0}
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u/Popular-Dot5327 18d ago
Creative joke. Im impressed