smoothness

CEFRB2

/smˈuðnəs/

adjective · noun

Türkçe translations

Translating…

In plain English

01
adjective
The quality of being even and not rough.
02
adjective
Extra detail
The highest order of derivative (the differentiability class) over a given domain.

Examples

Russian vodka is known for its smoothness and purity.
What gives this chocolate mousse its luscious smoothness?

At a glance

Sits at B2 on the CEFR scale

Senses: 4
Parts of speech: 2
Citations: 4

Deep Dive

adjective

Extra meaning

The quantity measured by the modulus of smoothness.

noun

Extra meaning

The condition of being smooth; the degree or measure of said condition.

More examples

In context

Smoothness can vary from 0 (for a nondifferentiable function) to infinity (for a smooth function).
The admirable smoothness of the riding also reflected the greatest credit on those who, despite the difficulties caused by the shortage of men and materials, have succeeded in maintaining the track in such first-class order.
With it,^([a pavement profile]) paving operations can be adjusted "on the fly" to maintain or improve smoothness.

Quick test

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Question 1 · Quick check

The blank of the polished marble floor made it feel like glass under our feet.

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Citations

The word in print, with each source given in full.

The admirable smoothness of the riding also reflected the greatest credit on those who, despite the difficulties caused by the shortage of men and materials, have succeeded in maintaining the track in such first-class order.
1946 July and August, Cecil J. Allen, “British Locomotive Practice and Performance”, in Railway Magazine, page 213
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 #92;sigma(#92;Phi)#92;rightarrow 0 as n#92;rightarrow#92;infty, etc.
1998, Vladimir V. Senatov, Normal Approximation: New Results, Methods and Problems, Walter de Gruyter (VSP), page 32
With it,^([a pavement profile]) paving operations can be adjusted "on the fly" to maintain or improve smoothness.
2013, Robert Otto Rasmussen, “et al.”, in Real-time Smoothness Measurements on Portland Cement Concrete Pavements During Construction, Transportation Research Board, page 3
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 #92;mathbbS¹ 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

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Origin

adjective

From Middle English smothenesse; equivalent to smooth + -ness. Compare Old English smēþnes (“smoothness, a smooth place, a level surface”).

Deep Dive

adjective

noun

More examples

Related

Quick test

The blank— of the polished marble floor made it feel like glass under our feet.

Nearby

Origin

adjective

The blank of the polished marble floor made it feel like glass under our feet.