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Please help! Partitions of sets...
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Give an example of a set A = {1,2,...,k} for a smallest k in N having subsets A1 , A2, A3 such that /Ai - Aj/ = /Aj - Ai/ = /i-j/ for every two integers i and j with
|dw:1348104778294:dw|
cant figure out what this means
does \(|A_i-A_j|\) means cardinal? do the sets have some other property like \[ \large A_1\cup A_2\cup A_3=A \] or they can be ANY set?
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