Results 121 to 130 of about 341,235 (326)

Reversal Asymmetry of Reciprocal Metasurface Enables Ultra‐Compact Varifocal Reflective Lens

Laser &Photonics Reviews, EarlyView.
The possibility of breaking the reversal symmetry of a lens without violating reciprocity is demonstrated. The freedom provided is utilized to realize an ultra‐compact reflective varifocal lens‐doublet based on a flat metasurface lens and a piezoelectric actuated micromirror.
Christopher A. Dirdal, Jesil Jose, Firehun Tsige Dullo, Grégory Bouquet, Paul C. V. Thrane, Zeljko Skokic, Johannes Skaar   +6 more
wiley   +1 more source

Families of singular algebraic varieties that are rationally elliptic spaces

Mathematische Nachrichten, EarlyView.
Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
wiley   +1 more source

Towards robust data-driven automated recovery of symbolic conservation laws from limited data

Machine Learning: Science and Technology
Conservation laws are an inherent feature in many systems modeling real world phenomena, in particular, those modeling biological and chemical systems. If the form of the underlying dynamical system is known, linear algebra and algebraic geometry methods
Tracey Oellerich, Maria Emelianenko
doaj   +1 more source

Approximate Fiber Products of Schemes and Their Étale Homotopical Invariants

Mathematics
The classical fiber product in algebraic geometry provides a powerful tool for studying loci where two morphisms to a base scheme, ϕ:X→S and ψ:Y→S, coincide exactly.
Dongfang Zhao
doaj   +1 more source

Strong bi-homogeneous Bézout theorem and its use in effective real algebraic geometry [PDF]

, 2006
Mohab Safey El Din, Philippe Trébuchet
openalex   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger, W. R. B. Lionheart, J. Elgy   +2 more
wiley   +1 more source

Limit Cycles of Continuous–Discontinuous Piecewise Linear Hamiltonian Systems in ℝ2$$ {\mathbb{R}}^2 $$ Separated by the Curve y=sinx$$ y=\sin x $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT These last decades piecewise differential systems have been studied intensively, mainly due to their applications. Inside the study of the dynamics of these differential systems, the limit cycles, that is, the isolated periodic orbits inside the set of all periodic orbits of the system, play a main role.
N. Chachapoyas, Jaume Llibre, I. S. Meza‐Sarmiento, J. Vidarte   +3 more
wiley   +1 more source

Asymptotic Analysis of the Static Bidomain Model for Pulsed Field Cardiac Ablation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Cardiac arrhythmias are caused by faulty electrical signals in the heart, which lead to chaotic wave propagation and impaired cardiac function. This work focuses on a non‐thermal ablation technique based on electroporation (EP), a promising method for treating arrhythmias, called pulsed field ablation (PFA).
Annabelle Collin, Simone Nati Poltri, Clair Poignard   +2 more
wiley   +1 more source