Results 101 to 110 of about 26,022 (315)
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Earthquakes pose a major threat to urban areas, causing fatalities, injuries, and significant economic losses. This study proposes a Gaussian process parametrized by deep neural networks (DNN–GP) as an efficient surrogate for assessing seismic losses of building structures at a regional scale.
Byeongseong Choi +2 more
wiley +1 more source
On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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DeepSeek in Education: Exploring the Transformative Potential of AI‐Driven Educational Intelligence
Future in Educational Research, EarlyView.ABSTRACT The integration of artificial intelligence into education remains challenged by issues of scalability, interpretability, and multimodal adaptability. DeepSeek's AI‐driven educational tools show potential to improve educational applications through advances in reasoning efficiency, lightweight deployment, and multimodal fusion.
Jian Liao, Fan Sun, Yajie Liu, Yuli Hu
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O -operators on hom-Lie algebras [PDF]
, 2020 Satyendra Kumar Mishra, Anita Naolekar
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$$\frac{1}{2}$$-derivations of Lie algebras and transposed Poisson algebras [PDF]
, 2021 Bruno Leonardo Macedo Ferreira +2 more
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Perspective Projection of an Ellipse and an Ellipsoid for Analytical View Factor Evaluation
Heat Transfer, EarlyView.ABSTRACT Radiative view factors are fundamental quantities for evaluating radiative heat transfer between different surfaces. While analytical expressions of view factors have been evaluated for various types of basic geometries, including circular disks and spheres, extending these solutions to more complex geometries, such as ellipses and ellipsoids ...
Kaname Sasaki
wiley +1 more source
A Learning Model with Memory in the Financial Markets
International Journal of Finance &Economics, EarlyView.ABSTRACT Learning is central to a financial agent's aspiration to gain persistent strategic advantage in asset value maximisation. The implicit mechanism that transforms this aspiration into an observed value gain is the speed of error corrections (demonstrating, an agent's speed of learning) whilst facing increased uncertainty.
Shikta Singh +6 more
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Leibniz algebras associated with representations of filiform Lie algebras [PDF]
, 2015 Sh. A. Ayupov +3 more
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Journal of the London Mathematical Society, 1973 Let \(L\) be a finite dimensional Lie algebra over a field. The Frattini subalgebra, \(F(L)\), of \(L\) is the intersection of the maximal subalgebras of \(L\); the Frattini ideal, \(\varphi(L)\), of \(L\) is then the largest ideal of \(L\) contained in \(F(L)\).
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