bijective function
[/baɪˈdʒɛktɪv ˈfʌŋkʃən/]
nounpl: bijective functions
função bijetiva
1. A function that is both injective (one-to-one) and surjective (onto), meaning every element in the codomain is mapped to by exactly one element in the domain
The function f(x) = 2x + 1 is a bijective function from the real numbers to the real numbers.
A função f(x) = 2x + 1 é uma função bijetiva do conjunto dos números reais para os números reais.
2. A function that establishes a one-to-one correspondence between two sets, allowing for a perfect pairing between elements
In set theory, a bijective function demonstrates that two sets have the same cardinality.
Na teoria dos conjuntos, uma função bijetiva demonstra que dois conjuntos têm a mesma cardinalidade.
This is a specialized mathematical term used universally in higher education mathematics courses. The terminology remains consistent across English and Portuguese-speaking academic communities, with minimal regional variation. It is primarily encountered in university-level mathematics, computer science, and set theory courses in both Brazil and the USA.
Look up more words on Fala2Me
The free English-Portuguese dictionary with real Brazilian accents, NYC slang, conjugator and more
Open Fala2Me →