everywhere-defined functions
[/ˌɛvriˈwɛr dɪˈfaɪnd ˈfʌŋkʃənz/]
nounpl: everywhere-defined functions
funções definidas em toda parte / funções totais
1. In mathematics and logic, functions that have a defined value for every element in their domain; functions with no undefined points or gaps in their domain of definition
In calculus, everywhere-defined functions are easier to analyze than partially defined functions.
Em cálculo, as funções definidas em toda parte são mais fáceis de analisar do que as funções parcialmente definidas.
2. Functions where the domain equals the entire set being considered, with no restrictions or exclusions
Polynomial functions are everywhere-defined functions on the real numbers.
As funções polinomiais são funções definidas em toda parte nos números reais.
This is a specialized mathematical and computational term used primarily in academic and technical contexts in both Brazil and Portugal. It is fundamental to formal logic, set theory, and computer science education. The term is rarely used in casual conversation outside academic or professional mathematical settings.
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