Question

(vii) Set of rational number​

Answer 1

Answer:

Let p be a prime number and for any non-zero integer a, let |a|p = p−n, where pn is the highest power of p dividing a. In addition set |0|p = 0. For any rational number a/b, we set |a/b|p = |a|p / |b|p. Then dp(x,y) = |x − y|p defines a metric on Q.

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Answer 2

Answer:

Infinite sets.

Step-by-step explanation:

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