A vector (x in mathbb{R}^{N}) may be regarded as a function ([N] ightarrow mathbb{R}), in which case

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A vector \(x \in \mathbb{R}^{N}\) may be regarded as a function \([N] ightarrow \mathbb{R}\), in which case the composition \(x \varphi\) is a function \([n] ightarrow \mathbb{R}\) or a vector in \(\mathbb{R}^{n}\). Show that Fisher's

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