partial functions
[ˈpɑːrʃəl ˈfʌŋkʃənz]
nounpl: partial functions
funções parciais
1. In mathematics and computer science, functions that are not defined for all possible inputs in their domain; functions where certain input values may not have corresponding output values
Division by zero is an example of a partial function because it is undefined when the denominator is zero.
A divisão por zero é um exemplo de uma função parcial porque é indefinida quando o divisor é zero.
2. Functions in programming languages that can be applied to only some arguments, leaving other arguments to be specified later
In functional programming, partial functions allow you to fix some arguments and create new functions with fewer parameters.
Na programação funcional, as funções parciais permitem fixar alguns argumentos e criar novas funções com menos parâmetros.
3. Mathematical functions where the domain is a proper subset of the expected or possible input space
The square root function on real numbers is a partial function because it is only defined for non-negative inputs.
A função raiz quadrada nos números reais é uma função parcial porque é definida apenas para entradas não-negativas.
This is primarily a technical term used in academic and professional contexts in both Brazil and the USA, particularly in mathematics, computer science, and software engineering. It is not commonly used in everyday conversation but is essential terminology in functional programming, type theory, and formal mathematics education.
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