order-reversing function
[ˈɔrdər rɪˈvɜrsɪŋ ˈfʌŋkʃən]
nounpl: order-reversing functions
função que reverte a ordem
1. A mathematical function between two ordered sets that reverses the order relation, such that if a ≤ b in the domain, then f(a) ≥ f(b) in the codomain
The function f(x) = -x is an order-reversing function on the real numbers because if a < b, then -a > -b.
A função f(x) = -x é uma função que reverte a ordem nos números reais porque se a < b, então -a > -b.
2. In order theory, a function that inverts the direction of the partial order between two posets
The complement operation in Boolean algebra is an order-reversing function.
A operação de complemento em álgebra booleana é uma função que reverte a ordem.
This is primarily academic mathematical terminology used in formal education and research contexts in both Brazil and Portugal. It is not commonly used in everyday language and is specific to mathematics, computer science, and logic studies.
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