Results 121 to 130 of about 519,259 (281)

Reflections on the Spatial Exponential Growth of Electromagnetic Quasinormal Modes

Laser &Photonics Reviews, EarlyView.
Quasinormal modes (QNMs) offer a robust framework for understanding the physics of resonators. However, conceptual challenges arise in regions distant from resonators, where QNM fields exponentially grow. This growth is not unphysical, but gives rise to counterintuitive effects, which is explained by examining fundamentals of non‐Hermitian systems ...
Tong Wu, José Luis Jaramillo, Philippe Lalanne   +2 more
wiley   +1 more source

Real algebraic curves, the moment map and amoebas [PDF]

Ann. of Math. (2) 151 (2000), no. 1, 309--326, 2000
In this paper we prove the topological uniqueness of maximal arrangements of a real plane algebraic curve with respect to three lines. More generally, we prove the topological uniqueness of a maximally arranged algebraic curve on a real toric surface.
arxiv  

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, EarlyView.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms [PDF]

arXiv, 2018
We construct smooth rational real algebraic varieties of every dimension $\ge$ 4 which admit infinitely many pairwise non-isomorphic real forms.
arxiv  

An application of ample vector bundles in real algebraic geometry [PDF]

, 2010
Wojciech Kucharz, Kamil Rusek
openalex   +1 more source

Angular distribution toward the points of the neighbor‐flips modular curve seen by a fast moving observer

Mathematische Nachrichten, EarlyView.
Abstract Let h$h$ be a fixed non‐zero integer. For every t∈R+$t\in \mathbb {R}_+$ and every prime p$p$, consider the angles between rays from an observer located at the point (−tJp2,0)$(-tJ_p^2,0)$ on the real axis toward the set of all integral solutions (x,y)$(x,y)$ of the equation y−1−x−1≡hmodp$y^{-1}-x^{-1}\equiv h \left(\mathrm{ mod\;}p\right)$ in
Jack Anderson, Florin P. Boca, Cristian Cobeli, Alexandru Zaharescu   +3 more
wiley   +1 more source

Every orientable Seifert 3-manifold is a real component of a uniruled algebraic variety [PDF]

arXiv, 2003
We show that any orientable Seifert 3-manifold is diffeomorphic to a connected component of the set of real points of a uniruled real algebraic variety, and prove a conjecture of J\'anos Koll\'ar.
arxiv  

Improved effective Łojasiewicz inequality and applications

Forum of Mathematics, Sigma
Let $\mathrm {R}$ be a real closed field. Given a closed and bounded semialgebraic set $A \subset \mathrm {R}^n$ and semialgebraic continuous functions $f,g:A \rightarrow \mathrm {R}$ such that $f^{-1}(0) \subset g^{-1}(0 ...
Saugata Basu, Ali Mohammad-Nezhad
doaj   +1 more source

Solving an Augmented Nonnegative Matrix Factorization Model by Modified Scaled Nonmonotone Memoryless BFGS Methods Devised Based on the Ellipsoid Vector Norm

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We suggest a modified version of the nonnegative matrix factorization problem, adding penalty terms to the model with the aim of taking control of the condition number of the decomposition elements. This measure is taken to reinforce computational stability in the solution path of the relevant optimization model.
Fatemeh Dargahi, Saman Babaie‐Kafaki, Zohre Aminifard, Mohammad Hajian Berenjestanaki   +3 more
wiley   +1 more source

Lower Bounds in Real Algebraic Geometry and Orientability of Real Toric Varieties [PDF]

, 2013
Jenya Soprunova, Frank Sottile
openalex   +1 more source