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Slika - Shrani.si

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A. Juriˇ<strong>si</strong>ć in V. Batagelj: Verjetnostni račun in statistika 75<br />

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Funkcije/preslikave<br />

Funkcija f iz mnoˇzice A v mnoˇzico B je predpis, ki vsakemu elementu<br />

iz mnoˇzice A priredi natanko določen element iz mnoˇzice B, oznaka<br />

f : A −→ B.<br />

Funkcija f : A −→ B je:<br />

• injektivna (angl. one to one) če za ∀ x, y ∈ A<br />

x = y ⇒ f(x) = f(y),<br />

• surjektivna (angl. on to), če za ∀ b ∈ B<br />

∃ a ∈ A, tako da je f(a) = b.<br />

Univerza v Ljubljani ▲<br />

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