Modular arithmetic: Difference between revisions
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:<math>a = b + k\,p</math>
The corresponding set of [[wp:equivalence class|equivalence class]]es forms a [[wp:ring (mathematics)|ring]] denoted <math>\frac{\Z}{p\Z}</math>. When p is a prime number, this ring becomes a [[wp:field (mathematics)|field]] denoted <math>\mathbb{F}_p</math>, but you won't have to implement the [[wp:multiplicative inverse|multiplicative inverse]] for this task.
Addition and multiplication on this ring have the same algebraic structure as in usual arithmetic, so that a function such as a polynomial expression could receive a ring element as argument and give a consistent result.
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