Results 101 to 110 of about 112,931 (232)
Application of Group‐Theoretical Approaches in Structural Natural Frequency Analyses
ABSTRACT Group theory has profoundly advanced physics and chemistry in systems with symmetries. Yet its use in structural engineering applications has not yet been fully explored beyond the aesthetics of symmetric designs. This work addresses two significant gaps that have limited the broader adoption of group‐theoretic methods in structural vibration ...
Shiyao Sun, Kapil Khandelwal
wiley +1 more source
On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
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
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
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
wiley +1 more source
Fundamentals of Deep‐Subwavelength Near‐Field Imaging With Hyperbolic Polaritons
Hyperbolic polaritons enable deep‐subwavelength near‐field imaging. This work reveals the intrinsic resolution limit of polaritonic imaging by linking it to the linewidth of hyperbolic polariton beams. A negative‐refraction‐based strategy is proposed to achieve scale fidelity under appropriate thickness configurations and to mitigate geometrical ...
Tianran Yu +7 more
wiley +1 more source
We study a problem with periodic boundary conditions for a $2n$-order differential equation whose coefficients are non-self-adjoint operators. It is established that the operator of the problem has two invariant subspaces generated by the involution ...
Ya.O. Baranetskij +3 more
doaj +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS
− This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and ...
Zulfigar Akdogan, Savas Kunduracı
doaj
Eigenfunctions and nodal sets [PDF]
60 pages, 5 figures lifted from the web.
openaire +2 more sources
Quantum Dust Cores of Black Holes and Their Quasi‐Normal Modes
We investigate the quasi‐normal mode spectrum of a gravitationally collapsed ball of dust, considering both a linear and a refined parabolic effective mass function for the quantum core. Furthermore, we account for the quantum leakage of dust particles outside the horizon.
T. Bambagiotti +4 more
wiley +1 more source
Biorthogonality condition for axisymmetric stokes flow in spherical geometries
We derive the biorthogonality condition for axisymmetric Stokes flow in a region between two concentric spheres. This biorthogonality condition is a property satisfied by the eigenfunctions and adjoint eigenfunctions, which is needed to compute the ...
S. A. Khuri
doaj +1 more source

