strict subset

[/strɪkt ˈsʌbsɛt/]
nounpl: strict subsets
subconjunto próprio
1. In mathematics and set theory, a set A is a strict subset of set B if every element of A is also an element of B, and A is not equal to B (i.e., B contains at least one element not in A)
The set {1, 2} is a strict subset of {1, 2, 3} because all elements of the first set are in the second, but the second set has an additional element.
O conjunto {1, 2} é um subconjunto próprio de {1, 2, 3} porque todos os elementos do primeiro conjunto estão no segundo, mas o segundo conjunto tem um elemento adicional.
2. A proper subset that excludes the possibility of being equal to the larger set
In set theory, we distinguish between subset and strict subset to clarify whether equality is possible.
Na teoria dos conjuntos, distinguimos entre subconjunto e subconjunto próprio para esclarecer se a igualdade é possível.
This is specialized mathematical terminology used consistently across English-speaking and Portuguese-speaking academic communities. The distinction between 'subset' and 'strict subset' is crucial in formal mathematics education at the university level in both Brazil and the USA.
Synonyms / Sinônimos
proper subsettrue subsetsubconjunto próprio
Antonyms / Antônimos
supersetstrict supersetsuperconjunto próprio

Regional Variations

General Brazilian
subconjunto próprio
Standard mathematical terminology used in Brazilian universities and textbooks
São Paulo
subconjunto próprio
Consistent usage in academic and mathematical contexts
Portugal
subconjunto próprio
Same terminology used in Portuguese mathematical education
Technical/Academic
subconjunto estrito
Alternative form sometimes used in technical literature

Related Words

subsetset theoryelementproper subsetpower setinclusion
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