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Prove d2 is a metric d2 : R2 x R2 - R (r, y) max{a 2...

d2 : R2 x R2 - R (r, y) max{a 2 - y2}.

Prove d2 is a metric

d2 : R2 x R2 - R (r, y) max{a 2 - y2}.
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