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Equivalence Classes Modulo m

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The idea is to visualize how the equivalence relation of congruence modulo induces a partition on . You can see how the first natural numbers relate to the rest after the dividing by . Also, notice that the number of connected components of the graph is nothing but the number of classes, which is the number of elements in .

Contributed by: Pablo Alberca Bjerregaard (University of Malaga, Spain) (March 2011)
Open content licensed under CC BY-NC-SA

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