Math.
an infinite sequence, x 1 , x 2 , ..., whose terms are points in E k , in which there exists a point y such that the limit as n goes to infinity of x n = y if and only if for every z>0, there exists a number N such that i > N and j > N implies | x i - x j | Cauchy sequence, convergent sequence . Cf. complete (def. 10b).