cauchy sequence


cauchy sequence
\\ˈkōshē-, kōˈshē-\ noun
Usage: usually capitalized C
Etymology: after Augustin-Louis Cauchy died 1857 French mathematician
: a sequence of elements in a metric space such that for any positive number no matter how small there exists a term in the sequence for which the distance between any two consecutive or nonconsecutive terms beyond this term is less than an arbitrarily small positive number

the sequence 1, 1/2, 1/3, 1/4, …, 1/n, … is a Cauchy sequence

* * *

Math.
[named after A. L. CAUCHY]

Useful english dictionary. 2012.

Look at other dictionaries:

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