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- Cauchy_sequence-English-Noun-2en language English.
- Cauchy_sequence-English-Noun-2en hasMeaning "A sequence 301360 in a metric space with metric d such that for every 301361 there exists a natural number N so that for every 301362 : 301363.".
- Cauchy_sequence-English-Noun-2en hasPoS Noun.
- Cauchy_sequence-English-Noun-2en hasQuotation "2000, George Bachman, Lawrence Narici, Functional Analysis, page 52,: In the case of the real line, every Cauchy sequence converges; that is, being a Cauchy sequence is sufficient to guarantee the existence of a limit. In the general case, however, this is not so. If a metric space does have the property that every Cauchy sequence converges, the space is called a complete metric space.".
- Cauchy_sequence-English-Noun-2en type Sense.
- Cauchy_sequence-English-Noun-2en type LexicalSense.
- Cauchy_sequence-English-Noun-2en label "Cauchy sequence".
- Cauchy_sequence-English-Noun-2en seeAlso Cauchy_sequence.
- Cauchy_sequence-English-Noun-2en seeAlso Cauchy_sequence.
- Cauchy_sequence-English-Noun-2en seeAlso Cauchy_sequence.