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9.1 Definitions[2CC]

A metric space is a pair \((X,d)\) where \(X\) is a set (nonempty) with associated distance \(d\).

Definition 1

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An example is \(ℝ^ n\) with the Euclidean distance \(d(x,y)=|x-y|\).

Definition 2

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Example 3

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[Note. If you are not familiar with the concept of metric space, you can assume that \(X=ℝ^ n\) and \(d(x,y)=|x-y|\) in all exercises.]

Exercises

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QuasiEsercizio 32

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QuasiEsercizio 33

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QuasiEsercizio 34

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Authors: "Mennucci , Andrea C. G." .
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  • metric space
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