Results 181 to 190 of about 1,475,338 (284)

Scattering diagrams, tight gradings, and generalized positivity. [PDF]

Proc Natl Acad Sci U S A
Burcroff A, Lee K, Mou L.
europepmc   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

Laser &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, Bruno Miranda, Silvia Romano, Gianluigi Zito   +3 more
wiley   +1 more source

A conjecture of Warnaar-Zudilin from deformations of lie superalgebras. [PDF]

Res Math Sci
Creutzig T, Garner N.
europepmc   +1 more source

Generalized XOR Operation and the Categorical Equivalence of the Abbott Algebras and Quantum Logics. [PDF]

Int J Theor Phys (Dordr), 2023
Burešová D.
europepmc   +1 more source

Generating Helical Polymorphic Beams Using Dielectric Metasurfaces

Laser &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, Yang Xu, Jose A. Rodrigo, Kenneth B. Crozier   +3 more
wiley   +1 more source

Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]

MethodsX
Devadas RM, Hiremani V, Preethi, T S, R S, Gujjar P.   +5 more
europepmc   +1 more source

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

Mathematische 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

Fault Tree Reliability Analysis via Squarefree Polynomials: Mathematical and Experimental Analysis. [PDF]

SN Comput Sci
Lopuhaä-Zwakenberg M.
europepmc   +1 more source

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

Fuzzy Set Theory Applied on Autometrized Algebra. [PDF]

F1000Res
Tilahun GY.
europepmc   +1 more source