Let X=R2 and let d be the Euclidean metric. Define d3: R2 x R2 to R by d3(x, y) = min{1, d(x, y)} Verify that d3 is a metric on R2
Unitary Method
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Let X=R2 and let d be the Euclidean metric. Define d3: R2 x R2 to R by d3(x, y) = min{1, d(x, y)}
Verify that d3 is a metric on R2
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