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.
  2. Noun.  (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) < epsilon .

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This entry was last updated on RefTopia from its source on 3/20/2012.