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Excercise 3 (Lebuesgue metric) a) Justify why function f : R2 + R, which is defined by setting f(x, y) :=r'ty. is Lebuesgue metric. b)

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Excercise 3 (Lebuesgue metric) a) Justify why function f : R2 + R, which is defined by setting f(x, y) :=r'ty. is Lebuesgue metric. b) Justify why the set E := ((x, y) ER' : x3 + y"

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