Sets {equivalence class} can include all number examples. Equivalence classes are typically infinite sets. For example, the equivalence class of -2 can include all possible pairs of natural-number subtractions {equivalence relation, class}: -2 = 0 - 2 = (0,2) and -2 = 1 - 3 = (1,3), and so on. Complex numbers are equivalence classes of remainders of polynomials x / (x^2 + 1), where x is a real number.
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Date Modified: 2022.0224