smooth function

noun

A function that has derivatives of all finite orders everywhere in its domain.

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Meanings

nounsmooth function (plural smooth functions)

plural smooth functions

  1. mathematicsA function that has derivatives of all finite orders everywhere in its domain.

    Any ANALYTIC FUNCTION is smooth. But a smooth function is not necessarily analytic.

    2003, Eric W. Weisstein, CRC Concise Encyclopedia of Mathematics, →ISBN, page 419

Origin

smooth + function

Full word history & related roots →

Translations

Bulgarian гла́дка фу́нцкия
  • гла́дка фу́нцкия (gládka fúnckija)function that has derivatives of all finite orders everywhere in its domain
Spanish función suave
  • función suavefunction that has derivatives of all finite orders everywhere in its domain
Swedish slät funktion, glatt funktion
  • slät funktionfunction that has derivatives of all finite orders everywhere in its domain
  • glatt funktionfunction that has derivatives of all finite orders everywhere in its domain
Cite this entry
APA

smooth function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/smooth%20function

MLA

“smooth function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/smooth%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “smooth function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/smooth%20function.

Source: smooth function on Wiktionary, CC BY-SA 4.0.