Numbers {real number}| can include both irrational and rational numbers. Real numbers make all equation roots. In one system, real numbers derive from natural numbers using axioms of connection, calculation, order, and continuity. Real numbers and points on closed intervals have one-to-one correspondence. Real numbers and points in closed-interval squares have one-to-one correspondence, because square points are real-number pairs and line points are numbers that alternate pair digits.
Mathematical Sciences>Number Theory>Number Types
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Date Modified: 2022.0224