25-Approximations by orthogonal projection and function spaces

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We formalize the concept of an orthogonal projection using the inner product and detail how the projection can be used to approximate functions in a vector space equipped with an inner product
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Thank you for your detailed and thorough explanation.

domechris
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It's helpful to me. Thank you very much! By the way, at 30:42 of the video, I think there's a mistake <1, 1>=2 not 1

xinhao