non-total relation
[/nɒn ˈtoʊtəl rɪˈleɪʃən/]
nounpl: non-total relations
relação não-total
1. In mathematics and logic, a relation between sets where not every element of the domain is mapped to an element of the codomain
The square root function is a non-total relation on real numbers because negative numbers have no real square roots.
A função raiz quadrada é uma relação não-total nos números reais porque números negativos não possuem raízes quadradas reais.
2. A relation that fails to satisfy the property of totality, meaning it does not relate every element in its domain to at least one element in its codomain
In a non-total relation, some domain elements may have no corresponding range elements.
Em uma relação não-total, alguns elementos do domínio podem não ter elementos correspondentes no contradomínio.
This is primarily academic terminology used in mathematics, logic, and computer science courses. It is not commonly used in everyday conversation in either Brazilian or American English. The term is standardized across Portuguese-speaking academic communities.
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