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Exercises

  1. [0BW] Prerequisites:[0BS].Given x∈R and N∈N,Nβ‰₯2, prove that at least one element of the set {x,2x,…,(Nβˆ’1)x} is at most distance 1/N from an integer, that is, there exist n,mβˆˆβ„€ with 1≀n≀Nβˆ’1 such that |nxβˆ’m|≀1/N.

    Solution 1

    [0BX]

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