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Definition of Cauchy sequence
1. Noun. (analysis) A sequence in a normed vector space such that the difference between any two entries can be made arbitrarily small by stipulating that the two entries be sufficiently far out in the sequence. ¹
2. Noun. (analysis) A sequence in a metric space with metric ''d'' such that for every there exists a natural number ''N'' so that for every : . ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Cauchy Sequence
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