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Metrics

For x an element of R upper k and y an element of R upper k define d1 (x, y) = max{|x of i - y of i| : 1≤i≤k} and d2 (x, y) = min{|x of i - y of i| : 1≤i≤k}. Determine for each of these whether it is a metric or not. Fully explain your answers.

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Solution Summary

Metrics are investigated. The solution is detailed and well presented.

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