Cauchy sequence

noun
Cau·​chy sequence | \ kō-ˈshē- How to pronounce Cauchy sequence (audio) , ˈkō-shē- \

Definition of Cauchy sequence

: 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

First Known Use of Cauchy sequence

circa 1949, in the meaning defined above

History and Etymology for Cauchy sequence

Augustin-Louis Cauchy †1857 French mathematician

Learn More About Cauchy sequence

Time Traveler for Cauchy sequence

Time Traveler

The first known use of Cauchy sequence was circa 1949

See more words from the same year

Dictionary Entries Near Cauchy sequence

caucho

Cauchy sequence

caucus

See More Nearby Entries 

Statistics for Cauchy sequence

Cite this Entry

“Cauchy sequence.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Cauchy%20sequence. Accessed 12 Aug. 2022.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

WORD OF THE DAY

Test Your Vocabulary

Commonly Confused Words Quiz

  • vector image of a face with thought expression
  • I went to the ______ store to buy a birthday card.
True or False

Test your knowledge - and maybe learn something along the way.

TAKE THE QUIZ
Universal Daily Crossword

A daily challenge for crossword fanatics.

TAKE THE QUIZ
Love words? Need even more definitions?

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