Congruence Classes
Like any congruence relation, congruence modulo n is an equivalence relation, and the equivalence class of the integer a, denoted by, is the set . This set, consisting of the integers congruent to a modulo n, is called the congruence class or residue class or simply residue of the integer a, modulo n. When the modulus n is known from the context, that residue may also be denoted .
Read more about this topic: Modular Arithmetic
Famous quotes containing the words congruence and/or classes:
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of ones attending upon you; but to question
the congruence of the complement is vain, if it exists.”
—Marianne Moore (18871972)
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—Ralph Waldo Emerson (18031882)