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The Fourier series is a way to represent periodic functions as an infinite sum of sine and cosine functions. It was developed by Jean-Baptiste Joseph Fourier and is widely used in signal analysis, physics, engineering, and many other fields. #FourierTransform #fourierseries #Fourier #math #matematik #mathematics #python #manim
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Could you understand a voice made of just 3 whistles? Every sound can be built from sine waves, the simplest sounds there are. A Fourier transform works out which sine waves are in a sound and how loud each one is. Add them back up and you get the sound again! A voice needs lots of them, each changing pitch and volume as you talk. The shape of your mouth and throat makes a few bands of pitches louder, and those bands are a big part of what makes each vowel sound different. Follow just the lowest
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