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Кардинален број

Module by: Liljana Stefanovska. E-mail the author

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Summary: Се дефинира поимот за еквивалентни множества и кардинален број на множество

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КАРДИНАЛЕН БРОЈ

Ако помеѓу две множества A и B се воспостави пресли­кување со кое на секој елемент од множество A му се придружи елемент од множеството B, и обратно, на секој елемент од множеството B му се придружи елемент од мно­жеството A, тогаш помеѓу двете множества постои взаемно еднозначно пресликување кое се нарекува биекција. Множествата за кои постои биекција се нарекуваат еквивалентни множества и се означуваат со A~B и за нив се вели дека имаат ист кардинален број или иста моќ.

Пример.

Множествата A = {1,2,3,4}{1,2,3,4} size 12{ lbrace 1,2,3,4 rbrace } {} и B = {a,b,x,z}{a,b,x,z} size 12{ lbrace a,`b,x,z rbrace ``} {}се еквивалентни бидејќи имаат ист број елементи.

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Ratings

Ratings allow you to judge the quality of modules. If other users have ranked the module then its average rating is displayed below. Ratings are calculated on a scale from one star (Poor) to five stars (Excellent).

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