total functions

[/ˈtoʊtəl ˈfʌŋkʃənz/]
nounpl: total functions
funções totais
1. In mathematics and computer science, functions that are defined for all possible inputs within their domain and always produce an output
Total functions differ from partial functions because they must return a value for every input.
Funções totais diferem de funções parciais porque devem retornar um valor para cada entrada.
2. Functions that have a defined output for every element in their domain set
In formal logic, total functions are essential for building consistent mathematical systems.
Na lógica formal, funções totais são essenciais para construir sistemas matemáticos consistentes.
This is primarily academic and technical terminology used in university-level mathematics and computer science courses in both Brazil and Portugal. It has no colloquial usage and is specific to formal education and scientific contexts.
Synonyms / Sinônimos
complete functionseverywhere-defined functionsunrestricted functions
Antonyms / Antônimos
partial functionsincomplete functionsundefined functions

Regional Variations

General Brazilian
funções totais
Standard term used in mathematics and computer science education
Portugal
funções totais
Same as Brazilian Portuguese; technical terminology is consistent

Related Words

partial functionsdomain and rangefunction definitioncomputability theorymathematical logic

Related Idioms & Phrases

total function on a set
define a total function
total recursive function
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