Associations to the word «Cauchy»

Wiktionary

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.

Wise words

Words - so innocent and powerless as they are, as standing in a dictionary, how potent for good and evil they become in the hands of one who knows how to combine them.
Nathaniel Hawthorne