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fundamental sequence
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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 |xi −xj|< ε.
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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, funded debt, fundholding, fundi
Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2023