Results 51 to 60 of about 10,469 (263)
Dynamic Mosaicity Modulates Ion Transport in Stimuli‐Responsive Liquid Crystal Electrolytes
Advanced Science, EarlyView.Thermotropic ionic liquid crystals provide a tunable platform for dimensionally‐controlled soft electrolytes, where anisotropy, nanoconfinement, and dynamic mosaicity govern ion transport behavior. In situ and operando analyses reveal a direct correlation between dynamic mosaicity and mesoscopic conductivity.
Hélène Pung +11 more
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Bulletin of the Australian Mathematical Society, 1984 We give examples of finite groups of odd prime power order in which the commutators lying in the centre do not generate the intersection of the centre and the commutator subgroup.
Caranti A, SCOPPOLA, CARLO MARIA
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Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Advanced Science, EarlyView.In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
wiley +1 more source
Commutators in real interpolation with quasi-power parameters
Abstract and Applied Analysis, 2002 The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi-power parameters, that is, the function spaces on which Hardy inequalities are valid.
Ming Fan
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Some estimates for commutators of the fractional maximal function on stratified Lie groups
Journal of Inequalities and Applications, 2023 In this paper, the main aim is to consider the boundedness of the nonlinear commutator [ b , M α ] $[b, M_{\alpha}]$ and the maximal commutator M α , b $M_{\alpha ,b}$ on the Lebesgue spaces over some stratified Lie group G $\mathbb{G}$ when the symbol b
Jianglong Wu, Wenjiao Zhao
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Noncompact commutators in the commutant of a cyclic operator [PDF]
Proceedings of the American Mathematical Society, 1989 We show that the commutant of the operator S ⊗ ( I + S ∗ ) S \otimes \left ( {I + {S^*}} \right ) , where S S is the shift operator, contains two operators
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In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR
Advanced Intelligent Discovery, EarlyView.Graph‐PRefLexOR is a novel framework that enhances language models with in situ graph reasoning, symbolic abstraction, and recursive refinement. By integrating graph‐based representations into generative tasks, the approach enables interpretable, multistep reasoning.
Markus J. Buehler
wiley +1 more source
On commutativity and approximation
Theoretical Computer Science, 1983 The paper deals with lower and upper bounds on the algebraic complexity of bilinear forms based on the rank of the corresponding tensors. It defines the ''commutative border rank'' (cbrk) of a tensor, which is a modification of the definition of ''rank'' so that it can be applied to algorithms that a) only need to approximate the solution and b) make ...
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Annalen der Physik, EarlyView.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source