Cauchy
Speech parts
1. Cauchy - Adjective
2. Cauchy - Proper noun
Meaning
Cauchy
A French surname; notably that of prolific mathematician Augustin-Louis Cauchy (1789-1857).
Cauchy (not comparable)
(of a sequence in a metric space) Whose terms become arbitrarily close to one another.
Phrases with the word
Examples
A Cauchy sequence is a sequence whose terms become arbitrarily close together as n gets very large.
A compact uniform space is complete: on a compact space each filter has a cluster point, and if the filter is Cauchy, such a cluster point is a limit point.
A Cauchy filter is called minimal if it contains no smaller (i.
After losing control of the public education system, the Catholic Church sought to establish its own branch of education and found in Cauchy a staunch and illustrious ally.
Although Cauchy took his mission very seriously, he did this with great clumsiness, and with surprising lack of authority over the Duke.
Analytic Method for the Computation of the Total Harmonic Distortion by the Cauchy Method of Residues.