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单词 fundamental sequence
释义

fundamental sequence


noun Mathematics.

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 |xixj|< ε.
Also called Cauchy sequence, convergent sequence .
Compare complete (def. 10b).

Origin of fundamental sequence

First recorded in 1865–70

Words nearby fundamental sequence

fundamentalism, fundamentalist, fundamental law, fundamentally, fundamental particle, fundamental sequence, fundamental star, fundamental unit, fundectomy, funded debt, fundholding
Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020
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更新时间:2024/9/23 19:26:43