Cauchy

usgb/ˈkoʊʃi/
Adjective

Relating to a sequence or function that converges to a limit as it progresses, specifically in the context of mathematical analysis.

The Cauchy sequence converges towards a specific number as its terms become increasingly large.
Visual representation of "cauchy" - Relating to a sequence or function that converges to a limit as it progresses, specifically in the context of mathematical analysis.

Often appears as...

  • Cauchy criterion
  • Cauchy sequence

Usage tips

Neutral

Cauchy sequence, Cauchy integral, Cauchy convergence

Definition 1 of 2
Visual representation of "cauchy"
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Mathematical Context

The word is used mainly in mathematical contexts related to convergence.

Illustration for Mathematical Context
Cauchy’s theorem is fundamental to understanding limits in analysis.
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Historical Significance

Cauchy was a significant figure in mathematics.

Illustration for Historical Significance
His contributions are foundational in calculus and analysis.
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Formal Usage

Typically used in academic or formal writing.

Illustration for Formal Usage
You would encounter this term in mathematics textbooks.
Visual representation of the word "Cauchy"

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