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کاردینالیتی

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EntityQ4049983· pop 57· linked from 797 articles

کاردینالیتی

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Also known as size, number of elements, cardinality of a set, set cardinality, size of a set

thumb|318x318px|A one-to-one correspondence between a set of apples and a set of oranges shows they have the same cardinality. In mathematics, cardinality is an inherent property of sets, roughly meaning the number of individual objects they contain, which may be infinite. The concept is understood through one-to-one correspondences between sets. That is, if their objects can be paired such that each object has a pair, and no object is paired more than once.

AI overview

Cardinality is a mathematical property that describes how many individual objects are in a set, whether that number is finite or infinite. It's determined by checking if the objects in two sets can be paired up perfectly—if every object in one set matches with exactly one object in another set with nothing left over, then the sets have the same cardinality.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Within Vinony's link graph, کاردینالیتی is referenced by 797 other articles, and connects out to bijection, cardinal number and subset.

It sits within the topics Basic concepts in infinite set theory and Cardinal numbers.

Its subject is documented across 55 Wikipedia language editions.

Wikidata facts

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Commons category
Cardinality
notation
number sign
studied by
set theory
name
cardinality
invariant under
bijection
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