proper base
[ˈprɒpər beɪs]
nounpl: proper bases
base própria
1. In mathematics, a base that satisfies certain structural or algebraic properties within a given space or context
The proper base of the vector space contains linearly independent elements.
A base própria do espaço vetorial contém elementos linearmente independentes.
2. In topology and algebra, a base that generates the entire structure through its elements and their combinations
A proper base must be carefully chosen to represent all elements in the topological space.
Uma base própria deve ser cuidadosamente escolhida para representar todos os elementos no espaço topológico.
3. In general usage, a foundational element or basis that is legitimate, appropriate, or well-founded
The company's proper base for expansion is its strong financial position.
A base própria da empresa para expansão é sua posição financeira forte.
This term is primarily used in academic, mathematical, and technical contexts in both Brazil and Portugal. It is rarely used in colloquial speech but is standard terminology in engineering, mathematics, and scientific discourse.
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