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• Integral part problems derived from a solution of an in mum problem

  43-53

  Paweł Pasteczka

  Árpád Száz

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  In this paper, we solve the following two integral part problems:
  Find all r ϵ R satisfying r^2 = [r]*([r]+1), resp. r^2≤[r]*([r]+1).
  These problems have been mainly motivated by a solution of an infimum problem of Z. Boros and Á. Száz.