Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 Cauchy, Baron Augustin Louis 17891857. French mathematician whose Cours d'Analyse (1821) introduced modern rigor into calculus. He founded the theory of functions of a complex variable and made contributions to the mathematical theory of elasticity and the wave theory of light.
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 adj. Whose terms become progressively closer to one another.
Etymologies
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Examples

And even if you consider the integral in a Cauchy sense (you would not tell students about principal values and finite parts anyway), the result is wrong.
Wolfram Blog : Using Mathematica and WolframAlpha in the Classroom

Why did Cauchy get mad at his dog whenever they went for a walk?

By dragging a wormhole portal around a circuit light years across, the GUTship Cauchy would establish a wormhole bridge — not across space — but across fifteen centuries, to the future.
Science Fiction, Fantasy, Horror: Vacuum Diagrams  Stephen Baxter

He gave a presentation where he discussed the Cauchy horizon of a wormhole.
Scientist Discusses Latest Report of Rising Global Temperatures  Universe Today

As far as I know, it is not completely clear if the Cauchy instability is there if the BH sits inside a cosmological solution (e.g. dS or Friedmann).

But at a mathematical level we have very little handle on the fully nonlinear dynamics of GR, especially when there are Cauchy horizons involved.

There you have causality issues and properly define Cauchy spatial surfaces of data.
Black Hole Drive Could Power Future Starships  Universe Today

A Hilbert space, finally, is a vector space on which an inner product is defined, and which is complete, i.e., which is such that any Cauchy sequence of vectors in the space converges to a vector in the space.

Coleman, R. and H. KortÃ©, 1992, “T.e Relation between the Measurement and Cauchy Problems of GT.”, in H. Sato and T. Nakamura, eds.,

Cauchy chose to characterize the continuity of functions in terms of a rigorized notion of infinitesimal, which he defines in the Cours d'analyse as “a variable quantity [whose value] decreases indefinitely in such a way as to converge to the limit 0.”
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