modulo arithmetic
[ˈmɒdjuːloʊ əˈrɪθmətɪk]
noun
aritmética modular
1. A system of arithmetic for integers where numbers wrap around after reaching a certain value (the modulus), used extensively in number theory, cryptography, and computer science
In modulo arithmetic with modulus 12, 15 is equivalent to 3 because 15 = 12 + 3
Na aritmética modular com módulo 12, 15 é equivalente a 3 porque 15 = 12 + 3
2. Mathematical operations (addition, subtraction, multiplication) performed on the remainders of division by a fixed number
Modulo arithmetic is fundamental to understanding clock time, where we work modulo 24 or modulo 12
A aritmética modular é fundamental para entender o tempo em um relógio, onde trabalhamos módulo 24 ou módulo 12
Modulo arithmetic is a cornerstone concept in computer science and cryptography curricula in both Brazil and the United States. In Brazil, it is prominently taught in advanced mathematics and computer science courses at universities like USP and UFRJ. The term 'aritmética modular' is standardized across all Portuguese-speaking countries in academic contexts.
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