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smoothness

noun C2
  1. The condition of being smooth; the degree or measure of said condition. (countable, uncountable)
  2. The highest order of derivative (the differentiability class) over a given domain. (countable, uncountable) · Smoothness can vary from 0 (for a nondifferentiable function) to infinity (for a smooth function).
  3. The quantity measured by the modulus of smoothness. (countable, uncountable)

Plural smoothnesses

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From the library

Franz, who had mutely interrogated the countess, and received from her a gracious smile in token that he would be welcome, sought not to retard the gratification of Albert’s eager impatience, but began at once the tour of the house, closely followed by Albert, who availed himself of the few minutes required to reach the opposite side of the theatre to settle the height and smoothness of his collar, and to arrange the lappets of his coat.
The Count of Monte Cristo, p. 369 · C1
With the exception of these trifling frictions, work in Miss Stacy’s little kingdom went on with regularity and smoothness.
Anne of Green Gables, p. 201 · C1
But on this occasion the precaution was superfluous, and everything proceeded with the utmost smoothness and politeness.
The Count of Monte Cristo, p. 239 · C1

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Words, meanings, pronunciations and translations from Wiktionary (CC BY-SA 4.0); how common each word is from wordfreq. Made into this dictionary by FluentPlex.