Results 81 to 90 of about 2,352 (209)

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

On Best Multiplier Approximation of k-Monotone by Trigonometric Polynomial

Al-Mustansiriyah Journal of Science
The main goal of this paper is to study the degree of the best multiplier approximation of monotone unbounded functions in L_(p,λ_n)-space on the closed interval [-π,π] by means of K-functional, which we represented with, K(f,L_(p,λ_n ),W_(p,λ_n)^1,W ̃_(
Saheb K. Al-Saidy, Hasan W. Maktoof, Abdul Khaleq O. Mazeel, Baba Galadima Agaie   +3 more
doaj   +1 more source

Approximation and Interpolation of Singular Measures by Trigonometric Polynomials

Constructive Approximation
AbstractComplex valued measures of finite total variation are a powerful signal model in many applications. Restricting to the d-dimensional torus, finitely supported measures can be exactly recovered from their trigonometric moments up to some order if this order is large enough. Here, we consider the approximation of general measures, e.g., supported
Paul Catala, Mathias Hockmann, Stefan Kunis, Markus Wageringel   +3 more
openaire   +3 more sources

Field‐Based Spatial Self‐Registration of Multicoil Hardware for B0 Field Control

Magnetic Resonance in Medicine, Volume 96, Issue 3, Page 1474-1485, September 2026.
ABSTRACT Purpose To develop and validate a magnetic field‐based method for self‐registration of multicoil (MC) shim hardware in MRI systems, enabling accurate B0 field control despite nonreproducible hardware placement between calibration and experimental sessions.
Isabelle Zinghini, Ian Macleod, Carlotta Ianniello, Sebastian Theilenberg, Christoph Juchem   +4 more
wiley   +1 more source

Non‐Elliptical Dimension Reduction in Survival Regression

Stat, Volume 15, Issue 3, September 2026.
ABSTRACT Sufficient dimension reduction (SDR) in survival regression aims to identify low‐dimensional structures that preserve the relationship between survival time and predictors. Classical SDR methods, such as sliced inverse regression (SIR), rely on strong assumptions such as linearity, constant variance and coverage conditions, which are often ...
Minjee Kim, Minjeong Kim, Jae Keun Yoo
wiley   +1 more source

On the approximation by trigonometric polynomials in weighted Lorentz spaces

Journal of Function Spaces and Applications, 2010
We obtain estimates of structural characteristics of 2π-periodic functions by the best trigonometric approximations in weighted Lorentz spaces, and show that the order of generalized modulus of smoothness depends not only on the rate of the best ...
Vakhtang Kokilashvili, Yunus E. Yildirir
doaj   +1 more source

Automated Alignment of Math Items to Content Standards in Large‐Scale Assessments Using Language Models

Educational Measurement: Issues and Practice, Volume 45, Issue 3, Fall 2026.
Abstract Accurate alignment of items to content standards is critical for valid score interpretation in large‐scale assessments. This study evaluates three automated paradigms for aligning Math items with four domain labels and nineteen skill labels.
Qingshu Xu, Hong Jiao, Tianyi Zhou, Ming Li, Nan Zhang, Sydney Peters, Yanbin Fu   +6 more
wiley   +1 more source

Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

Active learning strategies in business and information & communication technology engineering higher education: A scoping review

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Active learning (AL) has emerged as a pedagogical response to diverse educational challenges across multiple disciplines. This scoping review maps the terrain of AL implementation patterns, examining AL practices in Business Education, Information and Communication Technology (ICT) Engineering, Mathematics, and Statistics from 2015 until the ...
Dubravka Novkovic, Ricardo Torres Kompen, Josep Petchamé   +2 more
wiley   +1 more source