residue arithmetic
[/ˈrɛzɪduː əˈrɪθmətɪk/]
noun
aritmética de resíduos
1. A system of arithmetic based on residues modulo some integer, where numbers are reduced to their remainders when divided by a fixed modulus
Residue arithmetic is useful in cryptography and computer science for efficient computation.
A aritmética de resíduos é útil em criptografia e ciência da computação para computação eficiente.
2. Modular arithmetic where operations are performed within a specified modulus
In residue arithmetic with modulus 7, the sum 5 + 6 equals 4 because (5 + 6) mod 7 = 4.
Na aritmética de resíduos com módulo 7, a soma 5 + 6 é igual a 4 porque (5 + 6) mod 7 = 4.
This is primarily a technical mathematical term used in academic and professional contexts in both Brazil and English-speaking countries. It is particularly important in computer science, cryptography, and number theory curricula. The term is not commonly used in everyday speech and is restricted to specialized mathematical and scientific discourse.
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