Mathematics · Real Analysis
Which of the following functions d: R × R → R is NOT a valid metric on R?
- 1d(x,y) = max{x-y, 0}✓
- 2d1(x,y) = d(x,y)d(x,y) + 1, where d(x,y) is a metric on R.
- 3d(x,y) = min{|x-y|, 1}
- 4d(x,y) = √|x-y|
Correct answer
d(x,y) = max{x-y, 0}
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