congruence arithmetic
[kənˈɡruːəns əˈrɪθmətɪk]
noun
aritmética modular
1. A system of arithmetic for integers where numbers are considered equal if they differ by a multiple of a fixed number called the modulus
In congruence arithmetic with modulus 5, the numbers 7 and 12 are considered equivalent because they have the same remainder when divided by 5
Na aritmética modular com módulo 5, os números 7 e 12 são considerados equivalentes porque têm o mesmo resto quando divididos por 5
2. The branch of number theory dealing with congruences and modular arithmetic operations
Congruence arithmetic is fundamental to cryptography and computer science
A aritmética modular é fundamental para criptografia e ciência da computação
This is a technical mathematical term used uniformly in both Brazilian and North American educational contexts. It is primarily found in advanced mathematics, computer science, and cryptography courses at the university level. The term is domain-specific and not part of colloquial speech in either culture.
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