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单词 fundamental sequence
释义

WordReference Random House Unabridged Dictionary of American English © 2024
fundamental sequence, [Math.]
  1. Mathematicsan 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. Cf. complete (def. 10b).

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