non-enumerable groups
[nɑn ɪˈnjuːmərəbəl gruːps]
nounpl: non-enumerable groups
grupos não-enumeráveis
1. In mathematics and group theory, groups that cannot be counted or listed in a sequence; groups with cardinality greater than the natural numbers (uncountable sets)
The additive group of real numbers is an example of non-enumerable groups.
O grupo aditivo dos números reais é um exemplo de grupos não-enumeráveis.
2. In logic and set theory, collections of elements whose members cannot be placed in one-to-one correspondence with the natural numbers
Non-enumerable groups demonstrate properties that differ fundamentally from finite or countably infinite groups.
Grupos não-enumeráveis demonstram propriedades que diferem fundamentalmente de grupos finitos ou contavelmente infinitos.
This is a technical mathematical term used in academic contexts in both Brazil and Portugal. It is primarily encountered in university-level mathematics courses, particularly in abstract algebra, real analysis, and set theory. The term reflects formal mathematical education standards across Portuguese-speaking academic communities.
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