residueluokit
Residueluokit, also known as residue classes, are a fundamental concept in number theory and abstract algebra. They are used to partition the set of integers into equivalence classes based on their remainders when divided by a fixed positive integer, known as the modulus. This concept is crucial for understanding properties of integers and is the basis for modular arithmetic.
In formal terms, given a positive integer m (the modulus), two integers a and b are said
For example, if m = 3, the residueluokit are [0], [1], and [2]. The set of all residueluokit
Residueluokit are particularly useful in solving linear congruences, which are equations of the form ax ≡ b