Results 51 to 60 of about 1,737,526 (356)
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 +8 more
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Nonassociative Algebras: A Framework for Differential Geometry
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
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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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Lie Algebra Computations [PDF]
Acta Applicandae Mathematicae, 1989 In the context of analysing nonlinear evolution equations by the prolongation method, there arises the problem of determining a Lie algebra given a certain number of relations between some of the Lie products and some of the generators. Except in very easy cases this involves a lot of algebraic manipulation, albeit of a very routine nature.
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Advanced Theory and Simulations, EarlyView.Phase‐field method based numerical modelling of the capillary rise in millimeter‐sized tubes, aiming for anti‐slip applications. The experimental validation was performed through capillary assays in polyethylene oxide (PEO) bulk modified polydimethylsiloxane (PDMS) channels.
Shivam Sharma +7 more
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Genome‐Wide by Lifetime Environment Interaction Studies of Brain Imaging Phenotypes
Advanced Science, EarlyView.This study explores genome‐wide by lifetime environment interactions on brain imaging phenotypes. Gene‐environment interactions explain more phenotypic variance than main effects, pinpoint regulatory variants, and reveal exposure‐specific biological pathways.
Sijia Wang +51 more
wiley +1 more source
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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Leibniz Algebras and Lie Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2013 This paper concerns the algebraic structure of finite-dimensional complex Leibniz algebras. In particular, we introduce left central and symmetric Leibniz algebras, and study the poset of Lie subalgebras using an associative bilinear pairing taking values in the Leibniz kernel.
Mason, G., Yamskulna, G.
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Robust C–V Ratio Technique for Profiling Defects in Proton‐Irradiated 4H‐SiC
Advanced Electronic Materials, EarlyView.A noise‐robust C–V ratio technique is introduced to profile radiation‐induced defects in proton‐irradiated 4H‐SiC Schottky diodes. By using analytical capacitance ratios instead of numerical differentiation, the method directly extracts trap‐density and effective trap‐energy profiles at room temperature.
Kibeom Kim +4 more
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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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