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bounded element
[ˈbaʊndɪd ˈɛləmənt]
noun
pl: bounded elements
elemento limitado
1.
In mathematics and order theory, an element of a partially ordered set that has both an upper and lower bound within the set
In the lattice of real numbers, 5 is a bounded element when considering the interval [0, 10].
Na rede dos números reais, 5 é um elemento limitado quando se considera o intervalo [0, 10].
2.
In functional analysis, an element whose norm or absolute value does not exceed a fixed limit
A bounded element in a normed vector space satisfies ||x|| ≤ M for some constant M.
Um elemento limitado em um espaço vetorial normado satisfaz ||x|| ≤ M para alguma constante M.
Synonyms
finite element
restricted element
constrained element
Antonyms
unbounded element
infinite element
Regional Variations
General Brazilian
elemento limitado
Standard mathematical terminology used in universities
Portugal
elemento limitado
Standard mathematical terminology used in universities
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