Results 171 to 180 of about 17,836 (258)

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

open access: yesLaser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri   +3 more
wiley   +1 more source

Generating Helical Polymorphic Beams Using Dielectric Metasurfaces

open access: yesLaser &Photonics Reviews, EarlyView.
Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh   +3 more
wiley   +1 more source

The modulating role of sources of difficulty in interactive matchstick algebra. [PDF]

open access: yesFront Psychol
Spiridonov V   +4 more
europepmc   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley   +1 more source

Genetic prediction with ARG-powered linear algebra. [PDF]

open access: yesGenetics
Lee H   +4 more
europepmc   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

Canonicalizing Zeta Generators: Genus Zero and Genus One. [PDF]

open access: yesCommun Math Phys
Dorigoni D   +7 more
europepmc   +1 more source

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

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