singular function
[/ˈsɪŋɡjələr ˈfʌŋkʃən/]
nounpl: singular functions
função singular
1. In mathematics, a function that has one or more points where it is not analytic or where its derivative does not exist
The function f(z) = 1/z has a singular function at z = 0.
A função f(z) = 1/z tem uma função singular em z = 0.
2. In complex analysis, a function that exhibits a singularity at a particular point in its domain
Near a singular function, the behavior of the complex variable becomes highly restricted.
Perto de uma função singular, o comportamento da variável complexa se torna muito restrito.
3. A function whose behavior or definition breaks down or becomes undefined at specific points
Understanding singular functions is crucial for advanced calculus.
Compreender funções singulares é crucial para o cálculo avançado.
This is specialized mathematical terminology used primarily in academic and research contexts. The term is consistently used across both Brazilian Portuguese and European Portuguese mathematical communities, with no significant regional variations in meaning or usage.
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