antitone function
[ˌæn.ti.ˈtoʊn ˈfʌŋk.ʃən]
nounpl: antitone functions
função antítona
1. A function between two ordered sets where if x ≤ y in the domain, then f(x) ≥ f(y) in the codomain; also called order-reversing or decreasing function
The complement operation in Boolean algebra is an antitone function that reverses the ordering of truth values.
A operação de complemento na álgebra booleana é uma função antítona que inverte a ordem dos valores de verdade.
2. In lattice theory, a function that reverses the partial order structure between two lattices
An antitone function from lattice A to lattice B preserves meets as joins and vice versa.
Uma função antítona do reticulado A para o reticulado B preserva encontros como uniões e vice-versa.
This is primarily academic mathematical terminology used in higher mathematics, particularly in order theory, lattice theory, and abstract algebra. It is used identically in both Brazilian and European Portuguese mathematical communities and is found in university-level mathematics courses and research publications.
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