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How the Fourier transform decomposes any signal into a sum of pure sine waves, and why this is th...
Any signal you've ever encountered—your voice, an earthquake, the radio waves bouncing inside an MRI machine—can be rebuilt by stacking pure sine waves on top of each other. That's not a metaphor or an approximation; it's a mathematical identity, and it's the reason your phone can stream music, your doctor can image your brain, and JPEGs ...
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