Cauchy sequence

noun

Cau·​chy sequence kō-ˈshē- How to pronounce Cauchy sequence (audio)
ˈkō-shē-
: 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 terms beyond this term is less than the arbitrarily small number

Word History

Etymology

Augustin-Louis Cauchy †1857 French mathematician

First Known Use

circa 1949, in the meaning defined above

Time Traveler
The first known use of Cauchy sequence was circa 1949

Dictionary Entries Near Cauchy sequence

Cite this Entry

“Cauchy sequence.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Cauchy%20sequence. Accessed 5 Nov. 2024.

More from Merriam-Webster on Cauchy sequence

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!