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how math functions sound - nostalgic edition 3 #nostalgic #physics #fyp #maths #animation #geometry #math #pythagoras #viral #goldenratio #pi #fourier #sound #soundwave #mathsound #mathematics
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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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A Fourier series expresses a periodic signal as a sum of sine and cosine waves with different frequencies, amplitudes, and phases. Even very irregular shapes can be reconstructed this way by stacking enough simple waves. A square wave is a classic example. Despite its sharp jumps, it can be built using only sine waves at odd multiples of a base frequency (1x, 3x, 5x, ...), each with decreasing amplitude. As more of these waves are added, the result gets closer to a true square wave, with sharper
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