 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-2/27l/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

A \mapsto r^{- d} λ (r A)

is a translation-invariant Borel measure assigning the usual volume to the unit cube. Uniqueness of Lebesgue measure makes it equal to

λ

, hence

λ (r A) = r^{d} λ (A)

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