Cauchy sequence

名词 n.
中文释义

英文释义

名词 n.
  1. Any sequence x_n in a metric space with metric d such that for every ϵ>0 there exists a natural number N such that for all k,m>N, d(x_k,x_m)<ϵ.
    — However, it is possible to derive topological results from statements about Cauchy sequences; for example, a subset A of the space of real numbers is closed if and only if each Cauchy sequence in A converges to some point of A.

词形变化

Cauchy sequences plural

词源

Named after French mathematician Augustin-Louis Cauchy (1789–1857), who made pioneering contributions to analysis.
0 次浏览 数据来源: Wiktionary