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homogeneous set

[/ˌhɒmədʒɪˈniːəs sɛt/]
nounpl: homogeneous sets
conjunto homogêneo
1. In mathematics and logic, a set in which all elements share the same essential properties or are of the same type or kind
A homogeneous set of integers contains only whole numbers with no mixed data types.
Um conjunto homogêneo de inteiros contém apenas números inteiros sem tipos de dados mistos.
2. In Ramsey theory, a subset of a larger set where all elements have the same relationship or property with respect to a given structure
In graph coloring problems, a homogeneous set refers to vertices that share identical color relationships.
Em problemas de coloração de grafos, um conjunto homogêneo refere-se a vértices que compartilham relacionamentos de cor idênticos.
Synonyms
uniform setconsistent setsame-type set
Antonyms
heterogeneous setmixed setdiverse set

Regional Variations

General Brazilian
conjunto homogêneo
Standard mathematical term used in Brazilian mathematics education
Portugal
conjunto homogéneo
Portuguese spelling variant; used in European mathematical contexts
General
conjunto uniforme
Alternative term sometimes used in informal contexts

Related Idioms & Phrases

homogeneous set property
homogeneous set decomposition
modular homogeneous set
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