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Orthogonality of functions and vectors: key to Fourier analysis!
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Discrete case: element by element multiplication of 2 vectors, and summing the result, gives zero for vectors which are orthogonal to each other
Continuous case: multiplying 2 continuous functions, then integratiing, gives zero for functions which are orthogonal to each other
Continuous case: multiplying 2 continuous functions, then integratiing, gives zero for functions which are orthogonal to each other
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