Functie bijectiva ca suma a doua functii bijective

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Cezar Lupu
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Functie bijectiva ca suma a doua functii bijective

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Sa se arate ca orice functie bijectiva \( f:\mathbb{Z}\to\mathbb{Z} \) poate fi scrisa \( f=u+v \) astfel incat \( u, v:\mathbb{Z}\to\mathbb{Z} \) sa fie bijective.

Ion Savu & Sorin Radulescu, Master in Mathematics, 2008
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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