Mathematics, 03.01.2021 03:50 legendman27
Show that the following are equivalent metrics for Rn:
(i) d1 (x, y) = || x – y ||1 = {n∑i=1 (xi – yi)2}(1/2);
(ii) d2 (x, y) = || x – y ||2 = max1 ≤ i ≤ n |xi – yi|;
(iii) d3 (x, y) = || x – y ||3 = n∑i=1 |xi – yi|.
Answers: 3
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Show that the following are equivalent metrics for Rn:
(i) d1 (x, y) = || x – y ||1 = {n∑i=1 (xi –...
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