Cauchy sequence

[kō·shē ′sē·kwəns] (mathematics) A sequence with the property that the difference between any two terms is arbitrarily small provided they are both sufficiently far out in the sequence; more precisely stated: a sequence {a_n } such that for every ε > 0 there is an integer N with the property that, if n and m are both greater than N, then | a_n-a_m | < ε.="" also="" known="" as="" fundamental="" sequence;="" regular="">

Cauchy sequence

(mathematics)A sequence of elements from some vector spacethat converge and stay arbitrarily close to each other (usingthe norm definied for the space).

单词	cauchy sequence
释义	Cauchy sequence Cauchy sequence [kō·shē ′sē·kwəns] (mathematics) A sequence with the property that the difference between any two terms is arbitrarily small provided they are both sufficiently far out in the sequence; more precisely stated: a sequence {a_n } such that for every ε > 0 there is an integer N with the property that, if n and m are both greater than N, then \| a_n-a_m \| < ε.="" also="" known="" as="" fundamental="" sequence;="" regular=""> Cauchy sequence (mathematics)A sequence of elements from some vector spacethat converge and stay arbitrarily close to each other (usingthe norm definied for the space).
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