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smoothness

The English word “smoothness” has 3 meanings listed here.

noun

  1. The condition of being smooth; the degree or measure of said condition.
  2. The highest order of derivative (the differentiability class) over a given domain.
  3. The quantity measured by the modulus of smoothness.

Etymology

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

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Definitions are from Wiktionary, extracted by Kaikki.org, and are available under the CC BY-SA 4.0 licence.