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Functie bijectiva ca suma a doua functii bijective

Posted: Sun Feb 10, 2008 11:16 pm
by Cezar Lupu
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