Results 81 to 90 of about 10,711,710 (246)
A New Solution for the Director Relaxation Problem in Twisted Nematic Film Based on Wavelet Analysis
International Journal of Mathematics and Mathematical Sciences, 2011 The present research considers and explains the application of the Haar wavelets as basis functions in solution of the propagation of perturbations in low-dimensional anisotropic media.
Aleksey Kudreyko, Nail Migranov
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International Journal for Computational Civil and Structural Engineering, 2018 he distinctive paper is devoted to so-called multigrid (particularly two-grid) method of structural analysis based on discrete Haar basis (one-dimensional, two-dimensional and three-dimensional problems are under consideration).
Marina L. Mozgaleva +2 more
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Dimension reduction for optimal design problems with Kronecker product structure
Scandinavian Journal of Statistics, EarlyView.Abstract This paper is motivated by the problem of optimal allocation of trials in multi‐environment crop variety testing with a large number of varieties. Optimizing the allocation of trials results in the minimization of a design criterion with a Kronecker product structure in the information matrix.
Taras Bodnar, Maryna Prus
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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Variants of a theorem of Macbeath in finite‐dimensional normed spaces
Mathematika, Volume 72, Issue 2, April 2026.Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
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Embedding a function into a Haar space
Journal of Approximation Theory, 1988 The author proves that a continuous function f: \(R\to R\), M an interval in R, can be embedded into a Markov system \(\{f_ 1,...,f_ n\}\) of continuous functions on M, with \(f_ 1\equiv 1\), if and only if f has no weak oscillation of length \(n+1\).
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Kōtuitui: New Zealand Journal of Social Sciences Online, Volume 21, Issue 1, March 2026.With the announcement and initial proposal for transformation of the Science System in Aotearoa, there is a generational opportunity to recognise and invest in Māori research centres as hubs of Māori research excellence. However, there is no explicit recognition of Māori research centres within this vision, despite literature consistently highlighting ...
Logan Hamley +4 more
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Open EngineeringIn this study, we introduce an operational matrix (OM) method based on Haar wavelets (HWs) to approximate the solution of time-fractional advection–diffusion equations (TFADEs). These problems involve fractional derivatives in the Atangana–Baleanu Caputo
Khan Najeeb Alam +3 more
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Remote Sensing, 2018 This study evaluated whether wavelet functions (Bior1.3, Bior2.4, Db4, Db8, Haar, Sym4, and Sym8) and decomposition levels (Levels 3–8) can estimate soil properties. The analysis is based on the discrete wavelet transform with partial least-squares
Guoqiang Wang +5 more
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Thinning to Improve Two‐Sample Discrepancy
Random Structures &Algorithms, Volume 68, Issue 2, March 2026.ABSTRACT The discrepancy between two independent samples X1,…,Xn$$ {X}_1,\dots, {X}_n $$ and Y1,…,Yn$$ {Y}_1,\dots, {Y}_n $$ drawn from the same distribution on ℝd$$ {\mathbb{R}}^d $$ typically has order O(n)$$ O\left(\sqrt{n}\right) $$ even in one dimension.
Gleb Smirnov, Roman Vershynin
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