equivalence set
[/ɪˈkwɪvələns sɛt/]
nounpl: equivalence sets
conjunto de equivalência
1. In mathematics, a subset of a Cartesian product where elements are related by an equivalence relation, partitioning a set into disjoint classes of equivalent elements
The equivalence set under the relation 'has the same remainder when divided by 3' partitions the integers into three distinct classes.
O conjunto de equivalência sob a relação 'tem o mesmo resto quando dividido por 3' particiona os inteiros em três classes distintas.
2. In logic and semantics, a collection of expressions or terms that have the same meaning or referent
The equivalence set for 'automobile' includes 'car', 'motorcar', and 'vehicle' in certain contexts.
O conjunto de equivalência para 'automóvel' inclui 'carro', 'automóvel' e 'veículo' em certos contextos.
This term is primarily used in academic and mathematical contexts in both Brazilian and American English. In Brazil, it appears in mathematics and computer science curricula. The term 'equivalence class' is becoming more standard than 'equivalence set' in contemporary mathematical literature across both English-speaking and Portuguese-speaking regions.
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