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Dec 10, 2010 at 14:09 comment added Thierry Zell Also, the problem is not to prove that such functions exist, it's to find out if there are nonlinear examples.
Dec 10, 2010 at 13:20 comment added Francesco Polizzi The question asks for a smooth function
Dec 10, 2010 at 13:15 history answered David Cohen CC BY-SA 2.5