Cauchy sequence (redirected from Regular 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 integerNwith the property that, ifnandmare both greater thanN, then |a_n-a_m| < ε. Also known as fundamental sequence; regular sequence.

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(mathematics)

Cauchy sequence - A sequence of elements from some vector space that converge and stay arbitrarily close to each other (using the norm definied for the space).