Associations to the word «Cauchy»

CAUCHY, adjective. (of a sequence in a metric space) Whose terms become progressively closer to one another.

CAUCHY DISTRIBUTION, noun. (statistics) A continuous probability distribution such that its probability density function is

CAUCHY DISTRIBUTIONS, noun. Plural of Cauchy distribution

CAUCHY SEQUENCE, noun. (analysis) A sequence in a normed vector space such that the difference between any two entries can be made arbitrarily small by stipulating that the two entries be sufficiently far out in the sequence.

CAUCHY SEQUENCE, noun. (analysis) A sequence \( x_n \) in a metric space with metric d such that for every \( \epsilon > 0 \) there exists a natural number N so that for every \( k, m \ge N \) : \( d(x_k, x_m) < \epsilon \).

CAUCHY SEQUENCES, noun. Plural of Cauchy sequence

CAUCHY SPACE, noun. (topology) A space for which notions of a Cauchy sequence and completeness exist.