(a) Let A be the class of all intervals in R of the form (−∞, b] (b ∈ R). Show
S(A, n) = n + 1.
(b) Let A be the class of all intervals in R of the form (a, b] (a, b ∈ R). Show
S(A, n) = n · (n + 1) 2 .
(c) Generalize (a) and (b) to the multivariate case.
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