Results 51 to 60 of about 299,212 (282)
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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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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Distinct Biotypes of Visual Perception in Major Depressive Disorder
Advanced Science, EarlyView.In a discover dataset (272 acute MDD patients), this work identifies a novel depression biotype characterized by impaired visual motion perception, using machine learning clustering. An independent dataset confirms the robustness of this biotype through cross‐validation and demonstrates its generalizability.
Zhuoran Cai +13 more
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On properties of principal elements of Frobenius Lie algebras [PDF]
, 2014 We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
core
Symplectic, product and complex structures on 3-Lie algebras
, 2017 In this paper, first we introduce the notion of a phase space of a 3-Lie algebra and show that a 3-Lie algebra has a phase space if and only if it is sub-adjacent to a 3-pre-Lie algebra.
Sheng, Yunhe, Tang, Rong
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Ultra‐Wide‐Field Noninvasive Imaging Through Scattering Media Via Physics‐Guided Deep Learning
Advanced Science, EarlyView.We propose a physics‐guided adaptive dual‐domain learning method for ultra‐wide‐field noninvasive imaging through scattering media, namely UNI‐Net. Our method not only reduces the requirement for real experimental data by an order of magnitude but also enables clear imaging of complex scenes with an ultra‐large field of view, which is 164 times the OME
Lintao Peng +5 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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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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Advanced Science, EarlyView.A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai +3 more
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