smoothness

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smoothness

Where it comes from

From Middle English smothenesse; equivalent to smooth + -ness. Compare Old English smēþnes (“smoothness, a smooth place, a level surface”).

noun smoothnesses

  1. countable, uncountable The condition of being smooth; the degree or measure of said condition. The admirable smoothness of the riding also reflected the greatest credit on those who, despite the difficulties caused by the shortage of men and materials, have succeeded in maintaining the track in such first-class order.
  2. countable, uncountable, of a function The highest order of derivative (the differentiability class) over a given domain. Smoothness can vary from 0 (for a nondifferentiable function) to infinity (for a smooth function).
  3. countable, uncountable, of a function The quantity measured by the modulus of smoothness. A central problem in approximation theory is to characterize the best approximation of a function by polynomials, or other classes of simple functions, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. I

Opposite: jerkiness, roughness

Thesaurus

noun

Opposite: jerkiness, roughness

Translations

Every language

noun condition of being smooth

हिन्दीचिकनाई ciknāī
Kiswahiliulaini
Portuguêssuavidade
DeutschGlätte
Italianolevigatezza
Русскийгла́дкость gládkostʹ

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MLA

"smoothness." Wiktionary, via Micwyn, micwyn.com/word/smoothness. Accessed 6 Nov. 2026.

APA

smoothness. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/smoothness

Chicago

"smoothness." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/smoothness.

BibTeX
@misc{smoothness_2026,
  title = {smoothness},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/smoothness},
  urldate = {2026-11-06}
}