Definition, Meaning & Synonyms | English word SMOOTHNESS

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Definitions of SMOOTHNESS

1. The condition of being smooth; the degree or measure of said condition.
2. (analysis, of a function) The highest order of derivative (the differentiability class) over a given domain.
3. (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.

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Examples of Using SMOOTHNESS in a Sentence

• These features, along with his frequent dramatic or everyday speech rhythms, his tense syntax and his tough eloquence, were both a reaction against the smoothness of conventional Elizabethan poetry and an adaptation into English of European baroque and mannerist techniques.
• In the mathematical subfield of numerical analysis, a B-spline or basis spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition.
• Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability.
• According to John Julian, "His principal merits may be described as comprising terseness and felicity of expression; deep and accurate knowledge of Scripture, especially its typology; smoothness of versification; richness of rhyme, accumulating gradually as he nears the conclusion of a Sequence; and a spirit of devotion breathing throughout his work, that assures the reader that his work is 'a labour of love'".
• Basic aspects that can be defined through the covariance function are the process' stationarity, isotropy, smoothness and periodicity.
• One of the basic intuitions of mathematical analysis is that the Fourier transform interchanges smoothness conditions with rate conditions on vanishing at infinity.
• Adding to the bike's value were its electric starter, kill switch, dual mirrors, flashing turn signals, easily maintained valves, and overall smoothness and low vibration both under way and at a standstill.
• In general, non-equilibrium thermodynamic systems are spatially and temporally non-uniform, but their non-uniformity still has a sufficient degree of smoothness to support the existence of suitable time and space derivatives of non-equilibrium state variables.
• Motor learning enables animals to gain new skills, and improves the smoothness and accuracy of movements, in some cases by calibrating simple movements like reflexes.
• In general the Daubechies wavelets are chosen to have the highest number A of vanishing moments, (this does not imply the best smoothness) for given support width (number of coefficients) 2A.
• Temporary patching is reserved for weather conditions that are not favorable to a more permanent solution and usually uses a cold mix asphalt patching compound placed in an expedient manner to temporarily restore pavement smoothness.
• The combination of the sweetness, smoothness and creaminess in terms of both taste and smell creates an ideal sensory attraction.
• A newly designed manual transmission drew unanimous praise for its precision and smoothness (although the detent spring on fifth gear could cause misselection of third gear).
• For each prime, all the numbers to be tested for smoothness in the range under consideration which are divisible by that prime have their counter incremented by the logarithm of the prime (similar to the sieve of Eratosthenes).
• Assuming smoothness the existence of a Heegaard splitting also follows from the work of Smale about handle decompositions from Morse theory.
• Horn–Schunck method – optimizing a functional based on residuals from the brightness constancy constraint, and a particular regularization term expressing the expected smoothness of the flow field.
• Tuned air inlet and outlet resonators, aluminum cam covers, and other features that contribute to exceptional quietness and smoothness.
• It was Buick's first truck in its lineup since 1923, and the Rendezvous was billed as a combination of the best attributes of a minivan (large cargo capacity, seating for up to seven), a luxury automobile (ride, handling, smoothness) and a sport utility vehicle (truck styling and available all-wheel drive).
• Methone's smoothness and excellent ellipsoidal fits suggest that it has developed an equipotential surface, and this may be composed largely of an icy fluff, a material that might be mobile enough to explain the moonlet's lack of craters.
• The interpolation data in the lookup tables are constrained by the requirement that continuity of line segments must be preserved, while optimizing for smoothness.
• pressure of 1800 bar, pilot and post-injection for operating smoothness and soft and acoustically unobtrusive combustion.
• " Garratt writes, "While the idea of presenting the verse harmonies in the subdominant in the bridge was not new, what is striking here is the smoothness with which the song drops back into the original key – a moment rendered even more arresting by the truncated three-measure phrase that precedes it.
• Smith lauded the graphics for their crispness, smoothness, and detail, with minimal polygon dropout.
• The award is determined by the panellists using "subjective driving impressions and technical knowledge, and took into account characteristics such as fuel economy, noise, smoothness, performance and driveability".
• The early generation 1JZ-GTEs combined the inherent smoothness of an inline 6-cylinder engine with the revving capacity of its short stroke and early power delivery of its small, ceramic wheeled turbochargers.

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