| an infinite sequence, x1, x2, …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn = y if and only if for every ε>0, there exists a number N such that i>N and j>N implies |xi −xj |< ε. Also called Cauchy sequence, convergent sequence. Compare complete (def. 10b). |
Cauchy sequence mathematics
A sequence of elements from some vector space that converge and stay arbitrarily close to each other (using the norm definied for the space).
(2000-03-10)
