smoothness.
The condition of being smooth; the degree or measure of said condition.
Meaning & usage
The condition of being smooth; the degree or measure of said condition.
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).
The quantity measured by the modulus of smoothness.
Where this word comes from
From Middle English smothenesse; equivalent to smooth + -ness. Compare Old English smēþnes (“smoothness, a smooth place, a level surface”).
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.