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Cauchy sequences are used to define the concept of completeness in metric spaces, and are also used in the usual set-theoretic construction of the real numbers. They are named after the French mathematician Augustin Louis Cauchy. |
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A metric space in which every Cauchy sequence converges is called complete. The real numbers are complete, and the standard construction of the real numbers involves Cauchy sequences of rational numbers. Cauchy sequences are named after the French mathematician Augustin Louis Cauchy. /Talk? |
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