# 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 |xi −xj|< ε.

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You may have read the word "simmer" in a recipe or two, but what does it really mean?

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 Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020