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View Full Version : 1st Romanian Master in Mathematics (RMIM) 2008, Bucharest, Problem 2


Tom
18-02-2008, 04:39 PM
Prove that every bijective function f: \mathbb{Z}\rightarrow\mathbb{Z} can be written in the way f = u + v where u,v: \mathbb{Z}\rightarrow\mathbb{Z} are bijective functions.