The Fourier Transform, explained in one sentence (2014)
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The Fourier Transform, explained in one sentence (2014)
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Re: The Fourier Transform, explained in one sentence (2014)
#23Blue1Brown video that actually animates this: https://youtu.be/spUNpyF58BY
Re: The Fourier Transform, explained in one sentence (2014)
#3That color coding is nice. Not just as a reference to the parts of the math formula, but also within the sentence itself.
Re: The Fourier Transform, explained in one sentence (2014)
#4I see this as a confusing explanation of the algorithm for calculating coefficients, not as a line that explains what the Fourier transform is.
As for a single line on intuition, can you beat: “method of decomposing a function into a sun of sines and cosines?”
Re: The Fourier Transform, explained in one sentence (2014)
#5A good example of an explanation that only makes sense once you already know the thing being explained.
Re: The Fourier Transform, explained in one sentence (2014)
#6Instead of energy, it should say amplitude(and phase since it’s an inherently complex thing).
Re: The Fourier Transform, explained in one sentence (2014)
#7IMHO an under-explored bit of intuition is crops in the frequency domain.
If you want to try this for yourself grab a megabyte of photos of “conventionally attractive” selfies and a megabyte of selfies chosen at random and gzip them.
I’m personally not all that symmetrical so I don’t compress all that well. But I suspect you’ll find that “pretty” people compress better.
Same experiment with pop music vs serious jazz, same result.
I have a pet theory that everything from caffeine to alcohol is cropping in the Fourier domain.
It’s a fun experiment, try it out!
Re: The Fourier Transform, explained in one sentence (2014)
#8> "To find the energy at a particular frequency, spin your signal around a circle at that frequency, and average a bunch of points along that path"
You're going to need a longer sentence...
[Edit] If this sentence genuinely did what it said on the tin, the rest of the article - which give a lot more detail - wouldn't be necessary.
Re: The Fourier Transform, explained in one sentence (2014)
#9IMHO an under-explored bit of intuition is crops in the frequency domain. If you want to try this for yourself grab a megabyte of photos of “conventionally attractive” selfies and a megabyte of selfies chosen at random and gzip them. I’m personally not all that symmetrical so I don’t compress all that well. But I suspect you’ll find that “pretty” people compress better. Same experiment with pop music vs serious jazz,…
What do you mean by crop in frequency domain? Low pass filtering i.e. removing higher frequency components?
Re: The Fourier Transform, explained in one sentence (2014)
#10A good example of an explanation that only makes sense once you already know the thing being explained.
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