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Q. Show that another metric D on a set S is defined by d(x,y)=∫_a^b▒〖|x(t)-y(t)|dt〗
Q. If A is a subspace of l^∞ consisting of all sequence of 0 and 1. What is the induced metric on A? (solve it shortly)
(k+d) is a metric. Give its Hint or prove it shortly.
d(x,y) = ∫_a^b▒〖| x(t)-y(t) |dt 〗