Reliability as Projection in Operator-Theoretic Test Theory: Conditional Expectation, Hilbert Space Geometry, and Implications for Psychometric Practice. [PDF]
Educ Psychol MeasZumbo BD.
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
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Weak solutions to gradient flows of functionals with inhomogeneous growth in metric spaces. [PDF]
J Evol EquGórny W.
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Novel and efficient computation of Hilbert-Huang transform on surfaces
Computer Aided Geometric Design, 2016 Jianping Hu, Xiaochao Wang, Hong Qin
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Breaking Barriers in High‐Order Spectral Methods: The Intrinsic Matrix Approach
International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This paper introduces a unified framework in Hilbert spaces for applying high‐order differential operators in bounded domains using Chebyshev, Legendre, and Fourier spectral methods. By exploiting the banded structure of differentiation matrices and embedding boundary conditions directly into the operator through a scaling law relating ...
Osvaldo Guimarães, José R. C. Piqueira
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A Hybrid Transformer Architecture with a Quantized Self-Attention Mechanism Applied to Molecular Generation. [PDF]
J Chem Theory ComputSmaldone AM +6 more
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Integrative Approaches for DNA Sequence‐Controlled Functional Materials
Advanced Functional Materials, Volume 36, Issue 18, 2 March 2026.DNA is emerging as a programmable building block for functional materials with applications in biomimicry, biochemical, and mechanical information processing. The integration of simulations, experiments, and machine learning is explored as a means to bridge DNA sequences with macroscopic material properties, highlighting current advances and providing ...
Aaron Gadzekpo +4 more
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Generative diffusion models in infinite dimensions: a survey. [PDF]
Philos Trans A Math Phys Eng SciFranzese G, Michiardi P.
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Quantitative and stability study of the evolution of a thermoelastic body. [PDF]
MethodsX, 2023 Zinsou PH, Degla G, Ezzinbi K.
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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