equipotent set
[/ˌɛkwɪˈpoʊtənt sɛt/]
nounpl: equipotent sets
conjunto equipotente
1. In mathematics, particularly in set theory, two sets that have the same cardinality, meaning there exists a bijection (one-to-one correspondence) between them
The set of natural numbers and the set of even numbers are equipotent sets because we can establish a one-to-one correspondence between them.
O conjunto dos números naturais e o conjunto dos números pares são conjuntos equipotentes porque podemos estabelecer uma correspondência biunívoca entre eles.
2. Sets that can be put into perfect matching with each other, having equal power or potency in terms of their size
Any two finite sets with the same number of elements are equipotent sets.
Quaisquer dois conjuntos finitos com o mesmo número de elementos são conjuntos equipotentes.
This is a technical mathematical term used primarily in academic and educational contexts in both Brazil and Portugal. It is fundamental to understanding Cantor's set theory and the concept of infinity in mathematics. The term is rarely used in everyday conversation and is specific to mathematics, logic, and philosophy of mathematics disciplines.
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