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  3. let (x, dx) and (y, dy) be metric spaces.define th

Let (X, dX) and (Y, dY) be metric spaces.Define the function d : (X × Y )...

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Advance Math

Let (X, dX) and (Y, dY) be metricspaces.Define the function

d : (X × Y ) × (X × Y ) ? R

by

d ((x1, y1),(x2,y2)) =dx(x1,x2)+dy(y1,y2)

Prove that d is a metric on X × Y .

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