Results 51 to 60 of about 47,072 (207)
Estimating the scaling function of multifractal measures and multifractal random walks using ratios
, 2014 In this paper, we prove central limit theorems for bias reduced estimators of the structure function of several multifractal processes, namely mutiplicative cascades, multifractal random measures, multifractal random walk and multifractal fractional ...
Ludeña, Carenne, Soulier, Philippe
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On equal values of power sums of arithmetic progressions [PDF]
, 2012 In this paper we consider the Diophantine equation \begin{align*}b^k +\left(a+b\right)^k &+ \cdots + \left(a\left(x-1\right) + b\right)^k=\\ &=d^l + \left(c+d\right)^l + \cdots + \left(c\left(y-1\right) + d\right)^l, \end{align*} where $a,b,c,d,k,l$ are ...
Bazsó, A. +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Closed-Form Solution for the Natural Frequencies of Low-Speed Cracked Euler–Bernoulli Rotating Beams
Mathematics, 2022 In this study, two closed-form solutions for determining the first two natural frequencies of the flapwise bending vibration of a cracked Euler–Bernoulli beam at low rotational speed have been developed.
Belén Muñoz-Abella +2 more
doaj +1 more source
Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley +1 more source
Orthogonal polynomial kernels and canonical correlations for Dirichlet measures
, 2013 We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coefficients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Griffiths, Robert C., Spanò, Dario
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A Polylogarithmic PRG for Degree $2$ Threshold Functions in the Gaussian Setting [PDF]
, 2014 We devise a new pseudorandom generator against degree 2 polynomial threshold functions in the Gaussian setting. We manage to achieve $\epsilon$ error with seed length polylogarithmic in $\epsilon$ and the dimension, and exponential improvement over ...
Kane, Daniel M.
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Wildlife Biology, EarlyView.The ruffed grouse Bonasa umbellus is a species of conservation concern that has declined across most of its range. At the southeastern trailing edge of the range in Georgia, grouse are restricted to elevations 600 m a.s.l. and abundance is relatively low.
Clayton D. Delancey +5 more
wiley +1 more source
Efficient schemes on solving fractional integro-differential equations [PDF]
, 2018 Fractional integro-differential equation (FIDE) emerges in various modelling of physical phenomena. In most cases, finding the exact analytical solution for FIDE is difficult or not possible.
Loh, Jian Rong
core
Minimax bounds for estimation of normal mixtures
, 2014 This paper deals with minimax rates of convergence for estimation of density functions on the real line. The densities are assumed to be location mixtures of normals, a global regularity requirement that creates subtle difficulties for the application of
Kim, Arlene K. H.
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