Results 51 to 60 of about 287,232 (281)

Algebras of Differentiable Functions [PDF]

Proceedings of the American Mathematical Society, 1954
1. Let M be a compact differentiable manifold of class Cr, 1
openaire   +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, Dávid Beke, Lili Vajtai, András Jánossy, László Forró, Ferenc Simon   +5 more
wiley   +1 more source

Conformal Oscillator Representations of Orthogonal Lie Algebras [PDF]

, 2014
The conformal transformations with respect to the metric defining the orthogonal Lie algebra o(n) give rise to a one-parameter (c) family of inhomogeneous first-order differential operator representations of the orthogonal Lie algebra o(n+2).
Xu, Xiaoping
core  

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

Advanced 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, Junhee Lee, Reza Norouzikudiani, Jianfeng Li, Carlos Sánchez Somolinos, Antonio DeSimone, Kai Melde, Alexander Song, Peer Fischer   +8 more
wiley   +1 more source

Algebra of differential operators associated with Young diagrams

, 2010
We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the conjugated classes of finite permutations of the set of ...
A. Mironov, A. Morozov, Alexeevski, Alexeevski, Alexeevski, Arnold, Bouchard, Cordes, Dijkgraaf, Goulden, Gross, Hurwitz, Ivanov, Kazarian, Kazarian, Kharchev, Kharchev, Kostov, Macdonald, Mironov, Mironov, Miwa, Morozov, Morozov, Natanzon, Okounkov, Okounkov, Okounkov, S. Natanzon, Zhelobenko   +29 more
core   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced 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, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Equivalent Lagrangians: Generalization, Transformation Maps, and Applications

Journal of Applied Mathematics, 2012
Equivalent Lagrangians are used to find, via transformations, solutions and conservation laws of a given differential equation by exploiting the possible existence of an isomorphic algebra of Lie point symmetries and, more particularly, an isomorphic ...
N. Wilson, A. H. Kara
doaj   +1 more source

Noncommutative Yang-Mills-Higgs actions from derivation-based differential calculus

, 2008
Derivations of a noncommutative algebra can be used to construct differential calculi, the so-called derivation-based differential calculi. We apply this framework to a version of the Moyal algebra ${\cal{M}}$.
Cagnache, Eric, Masson, Thierry, Wallet, Jean-Christophe   +2 more
core   +4 more sources

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Gauge-invariant theories and higher-degree forms

Journal of High Energy Physics, 2021
A free differential algebra is generalization of a Lie algebra in which the mathematical structure is extended by including of new Maurer-Cartan equations for higher-degree differential forms.
S. Salgado
doaj   +1 more source