Results 61 to 70 of about 522,705 (279)
Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
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Differentiation of linear algebras with a unit over a field
Дифференциальная геометрия многообразий фигур, 2023 Linear algebras over a given field arise when studying various problems of algebra, analysis and geometry. The operation of differentiation, which originated in mathematical analysis, was transferred to the theory of linear algebras over a field, as well
A.Ya. Sultanov +2 more
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Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content
Advanced Science, EarlyView.Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri +3 more
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Hom-Lie algebra structure on electrical Lie algebra of type D5
上海师范大学学报. 自然科学版We study the Hom-Lie algebra structure on the electrical Lie algebra of type D5 in this paper. By using Lie bracket,σ-twisted Jacobi identity and the property of σ as a homomorphism,we prove that the Hom-Lie algebra structure on the electrical ...
ZHOU Shiyin, SHEN Ran, ZHANG Jian'gang
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On the algebra generated by μ¯,∂¯,∂,μ\overline{\mu },\overline{\partial },\partial ,\mu
Complex Manifolds, 2023 In this note, we determine the structure of the associative algebra generated by the differential operators μ¯,∂¯,∂\overline{\mu },\overline{\partial },\partial , and μ\mu that act on complex-valued differential forms of almost complex manifolds.
Auyeung Shamuel +2 more
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The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]
Algebra Colloquium, 2015 Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification
Gao, Ming, Xu, Ying, Yue, Xiaoqing
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
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Low‐Power Control Of Resistance Switching Transitions in First‐Order Memristors
Advanced Electronic Materials, EarlyView.Joule losses are a serious concern in modern integrated circuit design. In this regard, minimizing the energy necessary for programming memristors should be handled with care. This manuscript presents an optimal control framework, allowing to derive energy‐efficient programming voltage protocols for resistance switching devices. Following this approach,
Valeriy A. Slipko +3 more
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Note on algebraic Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1971 It is shown that, over an algebraically closed field of characteristic 0, the isomorphism classes of algebraic Lie algebras are in bijective correspondence with the isomorphism classes of affine algebraic groups with unipotent centers. A Lie algebra is said to be algebraic if it is isomorphic with the Lie algebra of an affine algebraic group.
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Nonlinear Dynamics and Invariants of Motion in ReRAM Cells
Advanced Electronic Materials, EarlyView.A second‐order cell, hosting one capacitor and two back‐to‐back ReRAMs, admits Invariants of Motion: its states lie on one‐dimensional manifolds at all times. The cell shows quiescent monostability or bistability, depending on the manifold index. At equilibrium, the capacitor voltage vanishes.
Mauro Di Marco +5 more
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