Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun analysis A
sequence in anormed 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. - 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 : .
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MiketheViking90 commented on the word Cauchy sequence
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
March 21, 2011