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exista functie diferentiabila care pe Q in Q si R-Q?

Posted: Fri Feb 19, 2010 2:49 pm
by Cezar Lupu
Exista o functie diferentiabila \( f:\mathbb{R}\to\mathbb{R} \) astfel incat \( f(\mathbb{Q})\subset\mathbb{Q} \) si \( f^{\prime}(\mathbb{Q})\subset\mathbb{R}-\mathbb{Q} \)?