linear order

[/ˈlɪniər ˈɔrdər/]
nounpl: linear orders
ordem linear
1. A mathematical structure in which elements are arranged in a sequence where any two elements can be compared and one comes before the other, satisfying properties of reflexivity, antisymmetry, and transitivity
The set of real numbers forms a linear order under the less-than relation.
O conjunto dos números reais forma uma ordem linear sob a relação de menor que.
2. An arrangement or sequence of items, concepts, or processes arranged in a single line or progression without branches
The curriculum follows a linear order, progressing from basic to advanced topics.
O currículo segue uma ordem linear, progredindo de tópicos básicos para avançados.
This is primarily a technical and mathematical term used in both Brazilian and American academic contexts. It is not commonly used in everyday speech but is fundamental in mathematics, computer science, and formal logic. Both Brazilian Portuguese and European Portuguese use identical terminology for this mathematical concept.
Synonyms / Sinônimos
total ordercomplete ordersequential orderchain
Antonyms / Antônimos
partial orderbranching ordernon-linear order

Regional Variations

General Brazilian
ordem linear
Standard mathematical term used in academic and technical contexts
São Paulo
ordem linear
Common in universities and technical institutions
Rio de Janeiro
ordem linear
Used similarly in academic environments
Portugal
ordem linear
Identical term used in Portuguese mathematics education

Related Words

orderingsequencehierarchymathematical structurerelational algebraposet

Related Idioms & Phrases

in linear order
maintain a linear order
establish a linear order
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