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Vijay posted an Question
August 27, 2022 • 16:50 pm 30 points
  • CSIR NET
  • Mathematical Sciences

3.4 oiven two metrie spaces (a1, d) and (x2, d), the cartesian product x, x x2 can be madc a metric space in many ways. we can define d: (x x x) x (x x x) r dy

3.4 Oiven two metrie spaces (A1, d) and (X2, d), the cartesian product X, x X2 Can be madc a metric space in many ways. We can define d: (X x X) x (X x X) R Dy ny oc o following formulae (ii) d((, 2), O1. y2) = diG1, y) + da¥2» Y2) Prove that each formula defines a metric on X, x X2. (The first metric is called the Pythagorean metric).

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