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. Show that the function d : S x S - R is positive definite, i.e. d(a, b) =0 - a=b and symmetric d(a, b)

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. Show that the function d : S x S - R is positive definite, i.e. d(a, b) =0 - a=b and symmetric d(a, b) = d(b, a). Furthermore, for any three classes a, b, c, we have a triangle inequality: d(a, c)

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