bounded set
[ˈbaʊndɪd sɛt]
nounpl: bounded sets
conjunto limitado
1. In mathematics, a set where all elements are confined within a finite distance from a fixed point or within specified limits
The interval [0, 1] is a bounded set on the real number line.
O intervalo [0, 1] é um conjunto limitado na reta dos números reais.
2. A set that has both upper and lower bounds in a metric space
A bounded set in Euclidean space can be enclosed within a sphere of finite radius.
Um conjunto limitado no espaço euclidiano pode ser encerrado dentro de uma esfera de raio finito.
This is specialized mathematical terminology used consistently across English and Portuguese-speaking academic communities. It is part of formal mathematical discourse in both Brazil and Portugal, with no colloquial variations.
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