different between roughness vs smoothness
roughness
English
Etymology
rough +? -ness
Noun
roughness (countable and uncountable, plural roughnesses)
- The property of being rough, coarseness.
- The roughness of the road made me wonder if my car would fall apart.
- Something that is rough; a rough spot.
- 2003, Klaus Bange, “Surfaces of Substrate Glasses”. In: Thin Films on Glass, Springer Science & Business Media, page 101:
- A variety of suitable methods for surface inspection are available to detect topographical defects induced by surface roughnesses such as scratches, digs, inclusions and spatters.
- 2003, Klaus Bange, “Surfaces of Substrate Glasses”. In: Thin Films on Glass, Springer Science & Business Media, page 101:
- (US) Roughage; coarse fodder.
- 1855, Southern Cultivator (volume 13, page 258)
- With this latter implement, the corn stalk fodder, shucks, oats, hay and other "roughness" may be finely cut up […]
- 1855, Southern Cultivator (volume 13, page 258)
- (Scotland) Abundance, especially of food.
Derived terms
Translations
roughness From the web:
- what is meant by roughness
- what is roughness map
- what is roughness coefficient
- what is roughness length
- what is roughness height
- what is roughness average
- what is roughness and waviness
- what causes roughness of the face
smoothness
English
Etymology
From Middle English smethnes, *smothnes, from Old English sm?þnes, *sm?þnes (“smoothness, a smooth place, a level surface”), equivalent to smooth +? -ness.
Noun
smoothness (countable and uncountable, plural smoothnesses)
- The condition of being smooth; the degree or measure of said condition.
- 1998, Vladimir V. Senatov, Normal Approximation: New Results, Methods and Problems, Walter de Gruyter (VSP), page 32,
- The ‘smoothness’ of distributions can be understood in various senses, this is why we used quotation marks before; further we will drop them. The smoothness can be understood as the differentiability of the distribution function, boundedness of some of its derivatives, the existence of the absolutely continuous component, the decrease of the characteristic function with a certain rate, the validity of the Cramér condition, the condition as , etc.
- 2013, Robert Otto Rasmussen, et al., Real-time Smoothness Measurements on Portland Cement Concrete Pavements During Construction, Transportation Research Board, page 3,
- With it,[a pavement profile] paving operations can be adjusted "on the fly" to maintain or improve smoothness.
- 1998, Vladimir V. Senatov, Normal Approximation: New Results, Methods and Problems, Walter de Gruyter (VSP), page 32,
- (mathematical analysis, of a function) The highest order of derivative (the differentiability class) over a given domain.
- (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.
- 2013, Feng Dai, Yuan Xu, Approximation Theory and Harmonic Analysis on Spheres and Balls, Springer, page 79,
- 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. In the classical setting of one variable, the smoothness of a function on is described by the modulus of smoothness, defined by the forward difference.
- 2013, Feng Dai, Yuan Xu, Approximation Theory and Harmonic Analysis on Spheres and Balls, Springer, page 79,
Antonyms
- (condition of being smooth): jerkiness, roughness
Derived terms
- modulus of smoothness
Translations
See also
- differentiability class
- modulus of continuity
- modulus of smoothness
- uniform continuity
Further reading
- Modulus of smoothness on Wikipedia.Wikipedia
- Modulus of continuity on Wikipedia.Wikipedia
smoothness From the web:
- smoothness meaning
- what is smoothness in alcohol
- what does smoothness mean
- what is smoothness in mathematics
- what is smoothness in whisky
- what does smoothness do in lightroom
- what is smoothness in statistics
- what is smoothness material
Share
Tweet
+1
Share
Pin
Like
Send
Share
you may also like
- roughness vs smoothness
- rough vs smooth
- smoothness vs roughnessoftexture
- rough vs unsmooth
- wendy vs gwendolen
- namelessness vs taxonomy
- famelessness vs namelessness
- namelessly vs taxonomy
- puerperium vs puerperal
- geostrategist vs taxonomy
- nonchromogenic vs scotochromogenic
- parthenon vs taxonomy
- pantheon vs parthenon
- methodically vs precisely
- methodically vs meticulously
- methodically vs haphazardly
- methodically vs deliberately
- topographically vs typographically
- topographical vs typographical
- typographical vs asterism