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

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

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Exista o functie diferentiabila \( f:\mathbb{R}\to\mathbb{R} \) astfel incat \( f(\mathbb{Q})\subset\mathbb{Q} \) si \( f^{\prime}(\mathbb{Q})\subset\mathbb{R}-\mathbb{Q} \)?
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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