remainder arithmetic
[/rɪˈmeɪndər əˈrɪθmətɪk/]
noun
aritmética de restos
1. A system of arithmetic dealing with remainders obtained after division, particularly in modular arithmetic where numbers are reduced modulo some integer
In remainder arithmetic, we work with the remainders left after division by a fixed modulus.
Na aritmética de restos, trabalhamos com os restos deixados após a divisão por um módulo fixo.
2. The branch of number theory that studies properties and operations on residues modulo n
Remainder arithmetic is fundamental to cryptography and computer science.
A aritmética de restos é fundamental para a criptografia e a ciência da computação.
This is a mathematical term primarily used in academic and technical contexts in both Brazil and Portugal. It is fundamental in computer science curricula and cryptography studies. The term 'aritmética modular' is often preferred in Portuguese-speaking countries, though 'aritmética de restos' is more literal and also widely understood.
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