ordered function

[ˈɔrdərd ˈfʌŋkʃən]
nounpl: ordered functions
função ordenada
1. A mathematical function that respects a partial or total order on its domain and codomain, where if x ≤ y then f(x) ≤ f(y)
An ordered function preserves the ordering relationship between elements in its domain.
Uma função ordenada preserva a relação de ordem entre elementos em seu domínio.
2. In mathematics and computer science, a function whose output maintains a consistent relationship with respect to ordering constraints
The sorting algorithm uses an ordered function to arrange data in ascending order.
O algoritmo de classificação usa uma função ordenada para organizar dados em ordem crescente.
3. A function defined on an ordered set that respects the lattice or poset structure
In lattice theory, an ordered function is also known as an order-preserving map or monotone function.
Na teoria de reticulados, uma função ordenada também é conhecida como um mapa que preserva ordem ou função monótona.
This is a specialized mathematical and computer science term used primarily in academic contexts in both Brazil and the USA. It is not typically used in casual conversation and appears mainly in university mathematics courses, research papers, and technical documentation. The concept is fundamental to order theory and lattice theory, which are important in areas like programming language semantics and database theory.
Synonyms / Sinônimos
monotone functionorder-preserving functionmonotonic functionorder-preserving map
Antonyms / Antônimos
order-reversing functionnon-monotone function

Regional Variations

General Brazilian
função ordenada
Standard term used in mathematics and computer science education
São Paulo
função ordenada
Technical term commonly used in academic and scientific contexts
Portugal
função ordenada
European Portuguese uses the same term with identical meaning
USA/Academic English
ordered function
Standard mathematical terminology in English-speaking academic institutions

Related Words

partial ordertotal ordermonotonicitylatticeposetorder theorymathematical function
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