Results 121 to 130 of about 1,839,875 (302)

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Classification of Filiform Lie Algebras up to dimension 7 Over Finite Fields

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
This paper tries to develop a recent research which consists in using Discrete Mathematics as a tool in the study of the problem of the classification of Lie algebras in general, dealing in this case with filiform Lie algebras up to dimension 7 over ...
Falcón Óscar J., Falcón Raúl M., Núñez Juan, Pacheco Ana M., Villar M. Trinidad   +4 more
doaj   +1 more source

Algebraic geometry over Lie algebras [PDF]

, 2007
This is a survey paper on Alegbraic Geometry over Lie ...
openaire   +2 more sources

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

On the Locality of Formal Distributions Over Right-Symmetric and Novikov Algebras

Известия Иркутского государственного университета: Серия "Математика"
The Dong Lemma in the theory of vertex algebras states that the locality property of formal distributions over a Lie algebra is preserved under the action of a vertex operator. A similar statement is known for associative algebras.
L. A. Bokut, P. S. Kolesnikov
doaj   +1 more source

BRST Operator for Quantum Lie Algebras: Relation to Bar Complex

, 2007
Quantum Lie algebras (an important class of quadratic algebras arising in the Woronowicz calculus on quantum groups) are generalizations of Lie (super) algebras. Many notions from the theory of Lie (super)algebras admit ``quantum'' generalizations.
Gorbounov, V. G., Isaev, A. P., Ogievetsky, O. V.   +2 more
core   +1 more source

Algebraic Lie Algebra Bundles and Derivations of Lie Algebra Bundles

International Electronic Journal of Algebra
In this paper, we define algebraic Lie algebra bundles, discuss some results on algebraic Lie algebra bundles and derivations of Lie algebra bundles. Some results involving inner derivations and central derivations of Lie algebra bundles are obtained.
MONİCA, M. V., RAJENDRA, R
openaire   +2 more sources

Robustness Assessment of Public Transport Networks in Various Graph Representations: Systematic Review, Decision Support, and Case Study

Networks, EarlyView.
ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk, Stefan Voß, Raka Jovanovic   +2 more
wiley   +1 more source

Linking differences in personality to demography in the wandering albatross

Oikos, EarlyView.
Population dynamics are shaped by individual differences. With a good understanding of the relationships between individual differences and vital rates, population models can be improved to yield more realistic and detailed demographic projections. Personality is expected to shape individual differences in performance.
Joanie Van de Walle, Silke van Daalen, Samantha C. Patrick, Christophe Barbraud, Karine Delord, Henri Weimerskirch, Jack Thorley, Stéphanie Jenouvrier   +7 more
wiley   +1 more source

The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras

Journal of Mathematics
Mock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts.
Yue Zhu, Keli Zheng
doaj   +1 more source