Results 51 to 60 of about 311,052 (319)

Quantum groups, Yang–Baxter maps and quasi-determinants

open access: yesNuclear Physics B, 2018
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
doaj   +1 more source

Square root of a multivector in 3D Clifford algebras

open access: yesNonlinear Analysis, 2020
The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
doaj   +1 more source

Unprecedented Spin‐Lifetime of Itinerant Electrons in Natural Graphite Crystals

open access: yesAdvanced 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

Metatimes, random measures and cylindrical random variables

open access: yesModern Stochastics: Theory and Applications, 2021
Metatimes constitute an extension of time-change to general measurable spaces, defined as mappings between two σ-algebras. Equipping the image σ-algebra of a metatime with a measure and defining the composition measure given by the metatime on the domain
Fred Espen Benth, Iben Cathrine Simonsen
doaj   +1 more source

Holographic Whole‐Object Photopolymerization Preserving Director Alignment in Liquid Crystalline Actuators

open access: yesAdvanced Materials, EarlyView.
Holographic microlithography enables the fabrication of fully connected 3D liquid crystalline structures in a single exposure. The process maintains precise control over the director orientation within the entire object, preventing local director distortions typically observed in sequential printing.
Lovish Gulati   +8 more
wiley   +1 more source

Some results on pseudo MV-algebras with n-roots

open access: yesRatio Mathematica
The paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
doaj   +1 more source

Academic Achievement in Algebra of the Public High School Students in the New Normal

open access: yesPhilippine Social Science Journal, 2021
This study describes the academic achievement level in Algebra of the public secondary school students in the new normal as a whole and when grouped according to sex and parent's highest educational attainment.
Diana B. Rodrigo, Alfredo D. Alave
doaj   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

open access: yesAdvanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun   +3 more
wiley   +1 more source

Evolutionary dynamics on a regular networked structured and unstructured multi‐population

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar   +2 more
wiley   +1 more source

Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras

open access: yesNonlinear Analysis, 2022
The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
doaj   +1 more source

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