Academic literature on the topic 'Moduli of smoothness'

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Journal articles on the topic "Moduli of smoothness"

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Journal, Baghdad Science. "New theorems in approximation theory." Baghdad Science Journal 7, no. 2 (2010): 1056–60. http://dx.doi.org/10.21123/bsj.7.2.1056-1060.

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The aim of this paper is to prove some results for equivalence of moduli of smoothnes in approximation theory , we used a"non uniform" modulus of smoothness and the weighted Ditzian –Totik moduli of smoothness in by spline functions ,several results are obtained .For example , it shown that ,for any the inequality , is satisfied ,finally, similar result for chebyshev partition and weighted Ditzian –Totik moduli of smoothness are also obtained.
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Kopotun, K. A., D. Leviatan, and I. A. Shevchuk. "New moduli of smoothness." Publications de l'Institut Math?matique (Belgrade) 96, no. 110 (2014): 169–80. http://dx.doi.org/10.2298/pim1410169k.

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We discuss various properties of the new modulus of smoothness ?? k,r (f(r), t)p := sup 0<h?t ?Wr kh(?)?k h?(?)(f(r), ?)? Lp[?1,1], where ?(x):= ?1?x2 and W?(x) = (1-x)-??(x)/2)(1+x???(x)/2))1/2. Related moduli with more general weights are also considered.
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Baronti, Marco, and Pier Luigi Papini. "Convexity, smoothness and moduli." Nonlinear Analysis: Theory, Methods & Applications 70, no. 6 (2009): 2457–65. http://dx.doi.org/10.1016/j.na.2008.03.030.

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Butzer, Paul L., and Erich van Wickeren. "Book Review: Moduli of smoothness." Bulletin of the American Mathematical Society 19, no. 2 (1988): 568–73. http://dx.doi.org/10.1090/s0273-0979-1988-15745-x.

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Potapov, M. K., and B. V. Simonov. "INEQUALITIES REFINING RELATIONSHIPS BETWEEN MIXED MODULES OF SMOOTHNESS IN METRICS OF $L_p$ AND $L_{\infty}$." BULLETIN of L.N. Gumilyov Eurasian National University. MATHEMATICS. COMPUTER SCIENCE. MECHANICS Series 134, no. 1 (2021): 19–34. http://dx.doi.org/10.32523/2616-678x-2020-134-1-19-34.

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The problem of estimating the moduli of smoothness of functions from Lq in terms of their moduli of smoothness from Lp is well known. The first stage in the estimation of moduli of smoothness was the study of the properties of functions from the Lipschitz classes and obtaining the corresponding embeddings in the works of Titchmarsh, Hardy, Littlewood, Nikol’skii. The classical Hardy-Littlewood embedding for Lipschitz spaces can be obtained as a consequence of the Ulyanov’s inequality for the moduli of continuity of a function of one variable. In the works of Ulyanov, the modulus of smoothness
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Ditzian, Z., and A. Prymak. "Discrete $d$-dimensional moduli of smoothness." Proceedings of the American Mathematical Society 142, no. 10 (2014): 3553–59. http://dx.doi.org/10.1090/s0002-9939-2014-12088-0.

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Ditzian, Z. "Moduli of smoothness using discrete data." Journal of Approximation Theory 49, no. 2 (1987): 115–29. http://dx.doi.org/10.1016/0021-9045(87)90082-7.

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Acu, Ana Maria, and Heiner Gonska. "Ostrowski Inequalities and Moduli of Smoothness." Results in Mathematics 53, no. 3-4 (2009): 217–28. http://dx.doi.org/10.1007/s00025-008-0332-2.

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Hu, Yingkang. "On Equivalence of Moduli of Smoothness." Journal of Approximation Theory 97, no. 2 (1999): 282–93. http://dx.doi.org/10.1006/jath.1997.3264.

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Kopotun, K. A., D. Leviatan, and I. A. Shevchuk. "New Moduli of Smoothness: Weighted DT Moduli Revisited and Applied." Constructive Approximation 42, no. 1 (2014): 129–59. http://dx.doi.org/10.1007/s00365-014-9270-2.

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Dissertations / Theses on the topic "Moduli of smoothness"

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Jumabayeva, Ainur. "Liouville-Weyl derivatives, best approximations, and moduli of smoothness." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/462991.

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En aquest treball estudiem les propietats d'aproximació i de suavitat de les derivades de Liouville-Weyl generalitzades. Els tres problemes que tractem són els següents: Primer, obtenim fites superiors i inferiors per a les normes i millors aproximacions de les derivades de Liouville-Weyl en termes de les funcions en sí mateixes. Per a l'estudi de les derivades de Liouville-Weyl, utilitzem el concepte de monotonia general. En segon lloc, estudiem un problema similar per als mòduls de suavitat d'ordre fraccional. Més específicament, provem noves desigualtats per als mòduls de suavitat de les
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Santos, Cristiano dos. "Módulos de suavidade e relações com K-funcionais." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-07122017-145058/.

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Neste trabalho, primeiramente, exploramos certos módulos de suavidade e K - funcionais definidos na esfera unitária m - dimensional e suas propriedades, dando prioridade a suas equivalências assintóticas e comparação com o erro de melhor aproximação. Uma das principais referências utilizadas foi (DAI; XU, 2010). Posteriormente, consideramos um módulo de suavidade e um K-funcional em espaços mais gerais, os espaços compactos 2-homogêneos, classe de espaços esta que contém a classe das esferas. A relação entre estes objetos e o raio de aproximação do operador translação (translação esférica, no
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Pintore, Alexandre. "A new class of Gaussian models exhibiting spatially varying smoothness." Thesis, Imperial College London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.428073.

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Kotlyarova, Yulia. "Kernel estimators : testing and bandwidth selection in models of unknown smoothness." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=85179.

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Semiparametric and nonparametric estimators are becoming indispensable tools in applied econometrics. Many of these estimators depend on the choice of smoothing bandwidth and kernel function. Optimality of such parameters is determined by unobservable smoothness of the model, that is, by differentiability of the distribution functions of random variables in the model. In this thesis we consider two estimators of this class: the smoothed maximum score estimator for binary choice models and the kernel density estimator.<br>We present theoretical results on the asymptotic distribution of t
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Yamagishi, Ryo. "On smoothness of minimal models of quotient singularities by finite subgroups of SLn(C)." Kyoto University, 2018. http://hdl.handle.net/2433/232219.

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Stankevičiūtė, Diana. "Lietuvos svarbiausių magistralinių kelių eksploatacinių savybių kitimo analizė." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100622_145601-43211.

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Prieš rengiant kelių investicinius projektus surenkami ir detaliai analizuojami esami kelių eksploatacinių rodiklių duomenys ir jų reglamentuotų norminių reikšmių atitiktis. Baigiamajame darbe išanalizuoti automobilių kelių asfaltbetonio dangos būklės, patikimumo bei šių rodiklių gavimo ir apdorojimo metodai. Pateikiamas automobilių kelių asfaltbetonio dangos reikiamų eksploatacinių rodiklių teorinis pagrindimas, reglamentuotos norminės reikšmės bei eksploatacinių rodiklių gerinimo svarba. Naudojantis tyrimų, atliktų Lietuvos svarbiausiuose magistraliniuose keliuose A1 Vilnius – Kaunas - Klaip
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Augé, Jean-Matthieu. "Quelques problèmes de dynamique linéaire dans les espaces de Banach." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2012. http://tel.archives-ouvertes.fr/tel-00744968.

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Cette thèse est principalement consacrée à des problèmes de dynamique linéaire dans les espaces de Banach. Répondant à une question récente de Hájek et Smith, on construit notamment, dans tout espace de Banach séparable de dimension infinie, un opérateur borné tel que ses orbites tendent vers l'infini sur une partie ni vide, ni dense. On relie également, à l'aide d'un autre résultat, le module de lissité asymptotique au comportement des opérateurs bornés.
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Wang, Ching-Ju, and 王靜如. "Moduli of Convexity and Smoothness." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/07655694902228134541.

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碩士<br>輔仁大學<br>數學系研究所<br>88<br>The significances of the moduli of convexity and smoothness and the geometric properties of unit balls in the normed linear spaces have been widely considered and investigated. In this paper we extend the concepts of the related moduli of unit ball to a general closed bounded convex set. We believe that these extensions are well-defined and interesting. We will try to approach the result of those geometric properties of a unit ball on the closed bounded convex set by the crucial tool-the gauge function. Our section headings ar
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Syue, Li-Hao, and 薛力豪. "Improving the Moving Smoothness of the LEGO Robot by Fuzzy Models." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/ew52nv.

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碩士<br>國立臺北科技大學<br>電機工程系研究所<br>98<br>In the general impression of people, the robot can only move according to instructions and fixed-angle of rotation. In the human eyes, the traditional robots can only do the more rigid movement. Nowadays, various robots provide their respective functions and purposes. But, only a few are used as entertainment purposes. In this study, the assembled Lego robots with fuzzy controllers are designed to play Monopoly games. In the course of the games, Lego robots rely on the camera to locate the dice. This study uses fuzzy control method to determine the robot&apo
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Horn, Berthold K. P. "Height and Gradient from Shading." 1989. http://hdl.handle.net/1721.1/6030.

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The method described here for recovering the shape of a surface from a shaded image can deal with complex, wrinkled surfaces. Integrability can be enforced easily because both surface height and gradient are represented. The robustness of the method stems in part from linearization of the reflectance map about the current estimate of the surface orientation at each picture cell. The new scheme can find an exact solution of a given shape-from-shading problem even though a regularizing term is included. This is a reflection of the fact that shape-from-shading problems are not ill-pos
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Books on the topic "Moduli of smoothness"

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Ditzian, Zeev. Moduli of smoothness. Springer-Verlag, 1987.

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Ditzian, Z., and V. Totik. Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4.

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Ditzian, Zeev. Moduli of smoothness. Springer-Verlag, 1987.

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A, Popov Vasil, ed. The averaged moduli of smoothness: Applications in numerical methods and approximation. Wiley, 1988.

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Flavin, Marjorie. The excess smoothness of consumption: Identification and interpretation. National Bureau of Economic Research, 1988.

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Attanasio, Orazio P. Risk sharing in private information models with asset accumulation: Explaining the excess smoothness of consumption. National Bureau of Economic Research, 2007.

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Bühlmann, Peter. Statistics for High-Dimensional Data: Methods, Theory and Applications. Springer-Verlag Berlin Heidelberg, 2011.

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Moduli of Smoothness. Springer, 2011.

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Totik, Z. Ditzian V. Moduli of Smoothness. Springer New York, 2011.

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Approximation Theory: Moduli of Continuity and Global Smoothness Preservation. Birkhäuser, 2012.

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Book chapters on the topic "Moduli of smoothness"

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Ditzian, Z., and V. Totik. "Algebraic Polynomial Approximation." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_8.

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Ditzian, Z., and V. Totik. "Introduction." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_1.

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Ditzian, Z., and V. Totik. "Exponential-Type or Bernstein-Type Operators." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_10.

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Ditzian, Z., and V. Totik. "Weighted Approximations by Exponential-Type Operators." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_11.

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Ditzian, Z., and V. Totik. "Weighted Polynomial Approximation in Lp(R)." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_12.

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Ditzian, Z., and V. Totik. "Polynomial Approximation in Several Variables." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_13.

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Ditzian, Z., and V. Totik. "Comparisons and Conclusions." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_14.

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Ditzian, Z., and V. Totik. "Preliminaries." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_2.

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Ditzian, Z., and V. Totik. "The K-Functional and the Modulus of Continuity." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_3.

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Ditzian, Z., and V. Totik. "K-Functionals and Moduli of Smoothness, Other Forms." In Moduli of Smoothness. Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4612-4778-4_4.

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Conference papers on the topic "Moduli of smoothness"

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KARUPU, OLENA W. "ON PROPERTIES OF MODULI OF SMOOTHNESS OF CONFORMAL MAPPINGS." In Proceedings of the Conference Satellite to ICM 2006. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812778833_0024.

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Rougon and Preteux. "Oriented Smoothness Constraints for Adaptive Active Contour Models." In Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 1992. http://dx.doi.org/10.1109/iembs.1992.590256.

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Rougon, Nicolas, and Francoise Preteux. "Oriented smoothness constraints for adaptive active contour models." In 1992 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE, 1992. http://dx.doi.org/10.1109/iembs.1992.5762098.

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Li, Qiang, Kelvin C. P. Wang, Robert P. Elliott, Kevin D. Hall, and Yanjun Qiu. "Feasibility Study for Gray Theory Based Pavement Smoothness Prediction Models." In Ninth International Conference on Applications of Advanced Technology in Transportation (AATT). American Society of Civil Engineers, 2006. http://dx.doi.org/10.1061/40799(213)7.

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Jimin, Zhang, Wang Chengping, and Zhou Hechao. "Research on Dynamics Performance of Two Grouped Virtual Track Train Based on Magic Formula Tire Model." In 2020 Joint Rail Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/jrc2020-8018.

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Abstract The virtual track train is a new type of urban rail vehicle that combines some of the characteristics of bus, tram and light EMU. It is a special fusion of automobile and rail, also it will become a new attempt to alleviate the pressure of urban road traffic. The dynamic performance of the virtual track is also begun since its popularization and application. In this paper, based on the theory of rail vehicle dynamics and tire dynamics, the dynamic performance of two kinds of virtual track train (group A - 5 module and group B - 2 module) is simulated by using multi-rigid body software
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Pearson, R. K., and B. A. Foss. "Some relations between stability and smoothness in discrete-time dynamic models." In Proceedings of 2000 American Control Conference (ACC 2000). IEEE, 2000. http://dx.doi.org/10.1109/acc.2000.876728.

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Alshawaqfeh, Mustafa, and Ammar Gharaibeh. "Detecting Recurrent Copy Number Variations from aCGH Data via Smoothness-Constrained Models." In 2019 16th International Multi-Conference on Systems, Signals & Devices (SSD). IEEE, 2019. http://dx.doi.org/10.1109/ssd.2019.8893173.

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Qi, Cheng, and Yan Wang. "Metamorphosis of Periodic Surface Models." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-87101.

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A phase transition is a geometric and topological transformation process of materials from one phase to another, each of which has a unique and homogeneous physical property. Providing an initial guess of transition path for further physical simulation studies is highly desirable in materials design. In this paper, we present a metamorphosis scheme for periodic surface (PS) models by interpolation in the PS parameter space. The proposed approach creates multiple potential transition paths for further selection based on three smoothness criteria. The goal is to search for a smooth transformatio
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Zhang, Yihe, Liming Dai, and Junya Luo. "Numerical Study of Oil Slug Mobilization in a Capillary Tube." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37185.

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This research investigates the effects of pore dimensions and smoothness on the mobilization of residual oil trapped inside pore structures. A model of water-filled uniform capillary tube with an oil slug trapped inside is employed as a simplified model for numerical simulation study. Pressure difference between two ends of the tube is being measured. The influence of the inner surface shape of the tube is mostly considered in this research. Based on the measurements of the capillary tubes used in experiments, a sine curved shape is employed to represent the inner surface of the capillary tube
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Xydas, Evagoras G., and Loucas S. Louca. "Upper Limb Assessment of People With Multiple Sclerosis With the Use of a Haptic Nine-Hole Peg-Board Test." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59446.

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In this work, a nine-hole peg-board test (NHPT) arrangement is implemented in a Virtual Environment with the use of a Haptic Interface that has the form of a small robotic arm. The Haptic NHPT is used as a mean for investigating the validity of a quantitative metric, which is based on smoothness maximization, as a possible assessment parameter for three dimensional reaching tasks. More specifically this study refers to the assessment of people with multiple sclerosis. The basic metric is developed by combining a neurophysical concept, which suggests that the three dimensional trajectories are
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Reports on the topic "Moduli of smoothness"

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Kim, Wooyoung, Koohyun Kwon, Soonwoo Kwon, and Sokbae (Simon) Lee. The identification power of smoothness assumptions in models with counterfactual outcomes. Institute for Fiscal Studies, 2014. http://dx.doi.org/10.1920/wp.cem.2014.1714.

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Attanasio, Orazio, and Nicola Pavoni. Risk Sharing in Private Information Models with Asset Accumulation: Explaining the Excess Smoothness of Consumption. National Bureau of Economic Research, 2007. http://dx.doi.org/10.3386/w12994.

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Bao, Jieyi, Xiaoqiang Hu, Cheng Peng, Yi Jiang, Shuo Li, and Tommy Nantung. Truck Traffic and Load Spectra of Indiana Roadways for the Mechanistic-Empirical Pavement Design Guide. Purdue University, 2020. http://dx.doi.org/10.5703/1288284317227.

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The Mechanistic-Empirical Pavement Design Guide (MEPDG) has been employed for pavement design by the Indiana Department of Transportation (INDOT) since 2009 and has generated efficient pavement designs with a lower cost. It has been demonstrated that the success of MEPDG implementation depends largely on a high level of accuracy associated with the information supplied as design inputs. Vehicular traffic loading is one of the key factors that may cause not only pavement structural failures, such as fatigue cracking and rutting, but also functional surface distresses, including friction and smo
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