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Word: cauchy sequence (lookup usage) (lookup stats)


Meaning:

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.
  • analysis A sequence x_n in a metric space with metric ''d'' such that for every epsilon> 0 there exists a natural number ''N'' so that for every k, m ge N : d(x_k, x_m) .

Source: Wiktionary | Src Info »