Definition von cauchy sequence im Englisch Englisch wörterbuch
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.
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)