transitive relation
[træn'zɪtɪv rɪ'leɪʃən]
nounpl: transitive relations
relação transitiva
1. A mathematical or logical relation where if element A is related to element B, and element B is related to element C, then element A is related to element C
The 'less than' relation is transitive because if 3 < 5 and 5 < 8, then 3 < 8
A relação 'menor que' é transitiva porque se 3 < 5 e 5 < 8, então 3 < 8
2. In formal logic and set theory, a property of binary relations that satisfies the transitive property for all elements in a set
Equality is a transitive relation: if a = b and b = c, then a = c
A igualdade é uma relação transitiva: se a = b e b = c, então a = c
This is a technical term used primarily in academic mathematics, logic, and computer science. It is equally understood in both Brazilian Portuguese and European Portuguese academic communities, with no regional variations in meaning or usage.
Related Idioms & Phrases
if A is related to B and B is related to C, then A is related to C
the transitive property holds
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