different between smoothness vs capability
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
capability
English
Etymology
Formed in Modern English as capable +? -ity.
Pronunciation
- IPA(key): /ke?p??b?l?ti/
- Rhymes: -?l?ti
Noun
capability (countable and uncountable, plural capabilities)
- the power or ability to generate an outcome
- (computing) A digital token allowing a user or process to interact in a specified way with an object that is subject to access control. [from 1960s]
Synonyms
- See also Thesaurus:skill
Derived terms
- limited-capability
Related terms
- capable (adjective)
Translations
References
- capability on Wikipedia.Wikipedia
capability From the web:
- what capability distinguishes trauma centers from
- what capability is not used by linux
- what capability means
- what capabilities does ansible offer
- what are capabilities in linux
- how to set capabilities in linux
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