Results 61 to 70 of about 52,961 (285)

Dynamic Mosaicity Modulates Ion Transport in Stimuli‐Responsive Liquid Crystal Electrolytes

open access: yesAdvanced 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
wiley   +1 more source

The $g$-areas and the commutator length

open access: yes, 2013
The commutator length of a Hamiltonian diffeomorphism $f\in \mathrm{Ham}(M, \omega)$ of a closed symplectic manifold $(M,\omega)$ is by definition the minimal $k$ such that $f$ can be written as a product of $k$ commutators in $\mathrm{Ham}(M, \omega ...
Lalonde, François, Teleman, Andrei
core   +3 more sources

Central commutators [PDF]

open access: yesBulletin 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
openaire   +4 more sources

Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains

open access: yesAdvanced 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

Weighted multilinear p-adic Hardy operators and commutators

open access: yesOpen Mathematics, 2017
In this paper, the weighted multilinear p-adic Hardy operators are introduced, and their sharp bounds are obtained on the product of p-adic Lebesgue spaces, and the product of p-adic central Morrey spaces, the product of p-adic Morrey spaces ...
Liu Ronghui, Zhou Jiang
doaj   +1 more source

Commutators and Anti-Commutators of Idempotents in Rings

open access: yes, 2018
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
core   +1 more source

Noncompact commutators in the commutant of a cyclic operator [PDF]

open access: yesProceedings 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
openaire   +2 more sources

In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR

open access: yesAdvanced 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

Weighted Central BMO Spaces and Their Applications

open access: yesJournal of Function Spaces, 2021
In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
doaj   +1 more source

Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

open access: yesMathematics, 2021
In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous ...
Daimei Chen, Yanping Chen, Teng Wang
doaj   +1 more source

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