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A Fourier series is a mathematical technique that breaks down a complex periodic signal into a collection of simple sine and cosine waves. One of the most famous examples is the square wave, which alternates abruptly between two values. Although a square wave appears to have sharp corners that cannot be created by smooth curves, a Fourier series can approximate it by adding together an infinite sequence of odd harmonics. As more terms are included, the approximation becomes increasingly accurate
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