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did you know that three of the most powerful tools in mathematical analysis—Fourier, Mellin, and Laplace transforms—are all built from integrals that convert complicated functions into simpler forms? The Fourier transform breaks a signal into its frequency components, revealing hidden periodic structures. The Laplace transform turns differential equations into algebraic ones, making dynamic systems easier to analyze. The Mellin transform, less known but deeply important, stretches and compresses
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