different between smoothness vs lightness
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
lightness
English
Etymology 1
From Middle English lightnes, lightnesse, from Old English l?htnes; equivalent to light (“bright, luminous”, adjective) +? -ness (suffix forming nouns).
Noun
lightness (countable and uncountable, plural lightnesses)
- (uncountable) the condition of being illuminated
- (uncountable) the relative whiteness or transparency of a colour
- (countable) The product of being illuminated.
Translations
Etymology 2
From Middle English lightnes, lightnesse,; equivalent to light (“not heavy”, adjective) +? -ness (suffix forming nouns).
Noun
lightness (uncountable)
- The state of having little weight, or little force.
- Agility of movement.
- Freedom from worry.
- Levity, frivolity; inconsistency.
- , New York 2001, p.75:
- Seneca […] accounts it a filthy lightness in men, every day to lay new foundations of their life, but who doth otherwise?
- , New York 2001, p.75:
Translations
References
Anagrams
- nightless, slightens
lightness From the web:
- lightness meaning
- what lightness or darkness of a color
- lightness what does that mean
- what causes lightness in your head
- what causes lightness in the head
- what is lightness in color
- what is lightness constancy
- what is lightness of being
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