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A Fourier series is a way to represent a repeating (periodic) function as a sum of simple waves, specifically sines and cosines with different frequencies. The main idea is that even complicated periodic shapes can be built by stacking and combining these basic oscillations. Each term in the series tells you how much of a certain frequency appears in the original function. This viewpoint is especially powerful because it shifts the problem from analyzing shapes in time or space to analyzing freq
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