Results 41 to 50 of about 726 (137)

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

Advanced Science, Volume 13, Issue 31, 4 June 2026.
Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source

Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions

International Journal of Mathematics and Mathematical Sciences, 1997
The spectral function Θ(t)=∑i=1∞exp(−tλj), where {λj}j=1∞ are the eigenvalues of the negative Laplace-Beltrami operator −Δ, is studied for a compact Riemannian manifold Ω of dimension “k” with a smooth boundary ∂Ω, where a finite number of piecewise ...
E. M. E. Zayed
doaj   +1 more source

On the Meaning of Localization in Non‐Local Quantum Field Theory

Annalen der Physik, Volume 538, Issue 6, June 2026.
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley   +1 more source

Hybrid Multiscale Method for Polymer Melts: Analysis and Simulations

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 5, May 2026.
ABSTRACT We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving–Kirkwood formula to determine an averaged stress tensor for a macroscopic model.
Ranajay Datta, Mária Lukáčová‐Medviďová, Andreas Schömer, Peter Virnau   +3 more
wiley   +1 more source

Singular integrals of the compositions of Laplace-Beltrami and Green's operators

Journal of Inequalities and Applications, 2011
We establish the Poincaré-type inequalities for the composition of the Laplace-Beltrami operator and the Green's operator applied to the solutions of the non-homogeneous A-harmonic equation in the John domain.
Ding Shusen, Fang Ru
doaj  

Investigating Helical Hypersurfaces Within 7-Dimensional Euclidean Space

Journal of Mathematics
Differential geometry of a kind of helical hypersurface family that depends on six parameters within the seven-dimensional Euclidean space is explored.
Erhan Güler
doaj   +1 more source

On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory

Annalen der Physik, Volume 538, Issue 4, April 2026.
We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley   +1 more source

A Physics-Informed Graph Neural Network for Computing Laplace–Beltrami Eigenfunctions on Manifolds

IEEE Access
Eigenfunctions and the spectrum of the Laplace-Beltrami operator are fundamental tools in geometry processing, providing a robust framework for analyzing complex geometries.
Damiana Lazzaro, Serena Morigi, Paolo Zuzolo   +2 more
doaj   +1 more source

Rotational Surfaces in Terms of Coordinate Finite Chen II-Type

Pan-American Journal of Mathematics
In this study, we first establish several formulae according to the first and second Beltrami operators. We discuss the class of surfaces of revolution in the 3-dimensional Euclidean space E3 without parabolic points, in which the position vector X ...
Hamza Alzaareer, Hassan Al-Zoubi
doaj   +1 more source