non-equivalent set
[/nɑːn ɪˈkwɪvələnt sɛt/]
nounpl: non-equivalent sets
conjunto não equivalente
1. In mathematics and logic, a collection of elements that cannot be put into one-to-one correspondence with another set; sets that do not have the same cardinality
The set of natural numbers and the set of real numbers are non-equivalent sets because they have different cardinalities.
O conjunto dos números naturais e o conjunto dos números reais são conjuntos não equivalentes porque possuem cardinalidades diferentes.
2. In general usage, groups or collections that are not equal in value, quantity, or significance
The two research samples were non-equivalent sets, making direct comparison problematic.
As duas amostras de pesquisa eram conjuntos não equivalentes, tornando a comparação direta problemática.
This term is primarily used in academic and mathematical contexts in both Brazil and the United States. In Brazilian mathematics education, 'conjunto não equivalente' is standard terminology taught in higher mathematics courses. The concept is fundamental to set theory and is used when discussing mathematical proofs and research methodology where sample or group comparisons are involved.
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