equipowerful sets
[/ˌɛkwɪˈpaʊərfl sɛts/]
nounpl: equipowerful sets
conjuntos equipotentes
1. In mathematics, sets that have the same cardinality; sets between which there exists a one-to-one correspondence (bijection)
The set of natural numbers and the set of even numbers are equipowerful 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 contain the same number of elements or have the same power in the sense of set theory
Equipowerful sets allow mathematicians to compare the sizes of infinite collections.
Conjuntos equipotentes permitem que matemáticos comparem os tamanhos de coleções infinitas.
This is a specialized mathematical term used primarily in academic and educational contexts in both Brazil and Portugal. The concept is fundamental to set theory and modern mathematics, taught in undergraduate courses. There are no cultural or regional variations in meaning; the term is universally understood among mathematicians and mathematics educators in Portuguese-speaking countries.
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