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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Question 1 of 9

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

To cook in water that begins cold and then reaches a boil.

To stew in a sauce for a long time.

To cook in water, just below boiling temperature.

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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, fundectomy, funded debt, fundholding

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