Results 61 to 70 of about 341,235 (326)
The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz [PDF]
, 2005 We prove the B. and M. Shapiro conjecture that if the Wronskian of a set of polynomials has real roots only, then the complex span of this set of polynomials has a basis consisting of polynomials with real coefficients.
E. Mukhin, V. Tarasov, A. Varchenko
semanticscholar +1 more source
Some Speed-Ups and Speed Limits for Real Algebraic Geometry [PDF]
Journal of Complexity, 1999 We give new positive and negative results, some conditional, on speeding up computational algebraic geometry over the reals: 1.A new and sharper upper bound on the number of connected components of a semi-algebraic set.
J. Rojas
semanticscholar +1 more source
Unprecedented Spin‐Lifetime of Itinerant Electrons in Natural Graphite Crystals
Advanced Functional Materials, EarlyView.Graphite exhibits extraordinary spintronic potential, with electron spin lifetimes reaching 1,000 ns at room temperature ‐ over 100 times longer than graphene‐based devices. Magnetic resonance spectroscopy reveals strong anisotropy: out‐of‐plane spins live 50 times longer than their in‐plane counterparts.
Bence G. Márkus +5 more
wiley +1 more source
Geometry of word equations in simple algebraic groups over special fields [PDF]
Russian Mathematical Surveys, 2018 This paper contains a survey of recent developments in the investigation of word equations in simple matrix groups and polynomial equations in simple (associative and Lie) matrix algebras, along with some new results on the images of word maps on ...
N. Gordeev, B. Kunyavskii, E. Plotkin
semanticscholar +1 more source
Spatiotemporally Resolved Orbital Hall Effect in a Topological Semimetal
Advanced Materials, EarlyView.Real‐space mapping of orbital angular momentum (OAM) transport is achieved using contact‐free polarimetric terahertz spectroscopy. This principle is applied to the topological semimetal Td‐WTe2, revealing the spatial separation of electrons into two distinct regions characterized by opposite out‐of‐plane OAM (±Lz).
Byung Cheol Park +8 more
wiley +1 more source
On a notion of entropy in coarse geometry
Topological Algebra and its Applications, 2019 The notion of entropy appears in many branches of mathematics. In each setting (e.g., probability spaces, sets, topological spaces) entropy is a non-negative real-valued function measuring the randomness and disorder that a self-morphism creates. In this
Zava Nicolò
doaj +1 more source
Natural Gradient Flow in the Mixture Geometry of a Discrete Exponential Family
Entropy, 2015 In this paper, we study Amari’s natural gradient flows of real functions defined on the densities belonging to an exponential family on a finite sample space.
Luigi Malagò, Giovanni Pistone
doaj +1 more source
Infinite families of inequivalent real circle actions on affine four-space [PDF]
Épijournal de Géométrie Algébrique, 2019 The main result of this article is to construct infinite families of non-equivalent equivariant real forms of linear C*-actions on affine four-space. We consider the real form of $\mathbb{C}^*$ whose fixed point is a circle.
Lucy Moser-Jauslin
doaj +1 more source
IEEE Access, 2022 The fast solution of three-dimensional eddy current problems is still an open problem, especially when real-size finite element models with millions of degrees of freedom are considered.
Federico Moro +4 more
doaj +1 more source
Manipulating Individual Topological Solitons and Bisolitons in an Electronic System
Advanced Materials, EarlyView.While localized topological modes in quantum materials promise loss‐less delivery of classical and quantum information, manipulating them individually has been challenging. This work succeeded in manipulating topological solitons formed along atomic wires on silicon surfaces with high reproducibility in various ways, including translating, transforming
Taehwan Im +2 more
wiley +1 more source