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The sinc function, defined as sinc(x) = sin(πx)/(πx) for x ≠ 0 and sinc(0) = 1, is a mathematical function that arises frequently in signal processing and Fourier analysis due to its ideal low-pass filter properties. It is the Fourier transform of a rectangular pulse and is used to reconstruct bandlimited signals from their samples in the Nyquist-Shannon sampling theorem.
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