Cauchy sequence

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

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The first known use of Cauchy sequence was circa 1949

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Cite this Entry

“Cauchy sequence.” Dictionary, Merriam-Webster, Accessed 7 Jul. 2020.

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