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The inner product example would be better defined as: <f,g> = ... (without the subscript). This avoids ambiguity, and emphasises that f and g are functions and that e.g. f(x) is a value of f at the point x.

Inner product

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As an inner product is positive definite, the integral of a product of functions will not be an inner product without restrictions on the functions. Orthogonal functions can be defined without recourse to this special method of describing orthogonal segments in a plane. Rgdboer (talk) 01:39, 3 August 2016 (UTC)[reply]

The article has been revised with bilinear form taking the place of inner product. — Rgdboer (talk) 00:20, 4 August 2016 (UTC)[reply]