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

Wisdom does not show itself so much in precept as in life - in firmness of mind and a mastery of appetite. It teaches us to do, as well as talk, and to make our words and actions all of a color.
Lucius Annaeus Seneca