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cauchy sequences

listen to the pronunciation of cauchy sequences
English - Turkish

Definition of cauchy sequences in English Turkish dictionary

cauchy sequence
cauchy dizisi
English - English
plural form of Cauchy sequence
Cauchy sequence
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

\lim_{n,m\to \infty} \|x_n-x_m\|=0.

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)