Generating Helical Polymorphic Beams Using Dielectric Metasurfaces
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]
Spiridonov V +4 more
europepmc +1 more source
Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$
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
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The Lie Group Basis of Neuronal Membrane Architecture: Why the Hodgkin-Huxley Equations Take Their Form. [PDF]
Melendy RF, Blue DH.
europepmc +1 more source
A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity
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
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Sensitivity Analysis of the Consistency Assumption. [PDF]
Knaeble B +3 more
europepmc +1 more source
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
Improving algebraic understanding using history of mathematics: the case of structural reasoning in cubic equations. [PDF]
Bannor AG, Gordon JF, Arthur YD.
europepmc +1 more source
Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]
Khaemba CS +5 more
europepmc +1 more source

