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Hilbert space: Treating functions as vectors

The tools of linear algebra are extremely useful when working in Euclidean space (e.g. \mathbb{R}^3 ). Wouldn’t it be great if we could apply these tools to additional mathematical constructs, such as functions and sequences? Hilbert space allows us to do exactly this - apply linear algebra to functions.
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Math & AlgorithmsSoftware Engineering2025

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Nov 13, 2025Hilbert space: Treating functions as vectors by signa1115055

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