Results 61 to 70 of about 1,187,567 (336)
Understanding the Role of Hydrogen and Oxygen in Electronic Phase Changes of Nickelates
The reversible exchange of hydrogen and oxygen in solids is key to their electronic and electro‐chemical functionality. A combination of methods is employed to study the interaction of hydrogen with a prototypical quantum material in a non‐destructive and time‐dependent manner.
Laura Guasco+12 more
wiley +1 more source
Vertex Algebras and Costello-Gwilliam Factorization Algebras [PDF]
Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras.
arxiv
Nonsplit conics in the reduction of an arithmetic curve
For an algebraic function field $F/K$ and a discrete valuation $v$ of $K$ with perfect residue field $k$, we bound the number of discrete valuations on $F$ extending $v$ whose residue fields are algebraic function fields of genus zero over $k$ but not ...
Becher, Karim Johannes, Grimm, David
core
Synthetic Active Liquid Crystals Powered by Acoustic Waves
A fully synthetic active liquid crystal, energized by an acoustic field, is presented. This system exhibits active nematic behavior, tunable topological defect dynamics, and persistent hydrodynamic vortices at high activity levels. The material maintains stable properties while enabling precise activity control in a wide range.
Andrey Sokolov+3 more
wiley +1 more source
Monogenity and Power Integral Bases: Recent Developments
Monogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area.
István Gaál
doaj +1 more source
The $ω$-Lie algebra defined by the commutator of an $ω$-left-symmetric algebra is not perfect [PDF]
In this paper, we study admissible $\omega$-left-symmetric algebraic structures on $\omega$-Lie algebras over the complex numbers field $\mathbb C$. Based on the classification of $\omega$-Lie algebras, we prove that any perfect $\omega$-Lie algebra can't be the $\omega$-Lie algebra defined by the commutator of an $\omega$-left-symmetric algebra.
arxiv
Algorithms in algebraic number theory [PDF]
In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
core +5 more sources
Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin+2 more
wiley +1 more source
Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]
We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
doaj
Deterministic Algorithms for Solving Boolean Polynomial Equations Based on Channel Coding Theory
Solving the satisfiability problems of Boolean polynomial equations is still an open challenge in the fields of mathematics and computer science.
Guangfu Wu+5 more
doaj +1 more source