monotonically decreasing function
[/ˌmɒnətɒnɪkli dɪˈkriːsɪŋ ˈfʌŋkʃən/]
nounpl: monotonically decreasing functions
função monotonicamente decrescente
1. A mathematical function where for any two points in its domain, if the first point is greater than the second, then the function value at the first point is less than or equal to the function value at the second point (non-strictly), or strictly less than (strictly monotonically decreasing)
The function f(x) = -x is a monotonically decreasing function because as x increases, f(x) decreases.
A função f(x) = -x é uma função monotonicamente decrescente porque conforme x aumenta, f(x) diminui.
2. In calculus and analysis, a function where the derivative is non-positive throughout its domain (or strictly negative for strictly monotonically decreasing)
The exponential decay function f(x) = e^(-x) is a monotonically decreasing function on all real numbers.
A função de decaimento exponencial f(x) = e^(-x) é uma função monotonicamente decrescente em todos os números reais.
This is primarily a technical mathematical term used consistently across English-speaking and Portuguese-speaking academic communities. It appears in calculus and real analysis courses in both Brazil and the United States, and is essential terminology for mathematics, engineering, and economics students. The term maintains identical meaning across regional variations.
Look up more words on Fala2Me
The free English-Portuguese dictionary with real Brazilian accents, NYC slang, conjugator and more
Open Fala2Me →