modular arithmetic
[ˈmɑːdʒələr əˈrɪθmətɪk]
noun
aritmética modular
1. A system of arithmetic for integers where numbers wrap around after reaching a certain value called the modulus
In modular arithmetic with modulus 12, 9 + 5 equals 2 because (9 + 5) mod 12 = 2
Na aritmética modular com módulo 12, 9 + 5 é igual a 2 porque (9 + 5) mod 12 = 2
2. A mathematical system used in cryptography, computer science, and number theory where operations are performed with a remainder
Modular arithmetic is essential for understanding RSA encryption algorithms
A aritmética modular é essencial para entender algoritmos de criptografia RSA
3. The branch of mathematics dealing with congruence relations and modular operations
Students learn modular arithmetic to solve problems involving clock arithmetic and periodic patterns
Os alunos aprendem aritmética modular para resolver problemas envolvendo aritmética de relógio e padrões periódicos
Modular arithmetic is primarily a technical and academic term used in mathematics, computer science, and cryptography education. It is equally understood in both Brazilian Portuguese and European Portuguese academic communities. The term has gained prominence in the digital age due to its critical role in cybersecurity and data encryption, making it increasingly familiar to technology professionals across Portuguese-speaking countries.
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