Results 51 to 60 of about 7,465 (167)

On differential Rota–Baxter algebras

Journal of Pure and Applied Algebra, 2008
A Rota-Baxter operator of weight $ $ is an abstraction of both the integral operator (when $ =0$) and the summation operator (when $ =1$). We similarly define a differential operator of weight $ $ that includes both the differential operator (when $ =0$) and the difference operator (when $ =1$).
Guo, Li, Keigher, William
openaire   +3 more sources

Exceptional quantum geometry and particle physics

Nuclear Physics B, 2016
Based on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the color group SU(3) and on the existence of 3 generations, we develop an argumentation suggesting that the “finite quantum space” corresponding to the exceptional ...
Michel Dubois-Violette
doaj   +1 more source

Flatness-based control revisited: The HEOL setting

Comptes Rendus. Mathématique
We present the algebraic foundations of the HEOL setting, which combines flatness-based control and intelligent controllers, two advances in automatic control that have been proven in practice, including in industry.
Join, Cédric, Delaleau, Emmanuel, Fliess, Michel   +2 more
doaj   +1 more source

Einstein-Riemann Gravity on Deformed Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2006
A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Julius Wess
doaj  

Function theory for a beltrami algebra

International Journal of Mathematics and Mathematical Sciences, 1985
Complex functions are investigated which are solutions of an elliptic system of partial differential equations associated with a real parameter function.
B. A. Case
doaj   +1 more source

DeepDefend: A comprehensive framework for DDoS attack detection and prevention in cloud computing

Journal of King Saud University: Computer and Information Sciences
DeepDefend is an advanced framework for real-time detection and prevention of DDoS attacks in cloud environments. It employs deep learning techniques, notably CNN-LSTM-Transformer networks, to predict network traffic entropy and detect potential attacks.
Mohamed Ouhssini, Karim Afdel, Elhafed Agherrabi, Mohamed Akouhar, Abdallah Abarda   +4 more
doaj   +1 more source

Differential Resultants

ITM Web of Conferences, 2018
We review classical concepts of resultants of algebraic polynomials, and we adapt some of these concepts to objects in differential algebra, such as linear differential operators and differential polynomials.
McCallum Scott, Winkler Franz
doaj   +1 more source

Volichenko Algebras as Algebras of Differential Operators

Journal of Nonlinear Mathematical Physics, 2006
Let \(k\) be a field of characteristic zero and \(\Gamma\) an Abelian group. Suppose that \(R\) is a \(\Gamma\)-graded associative \(k\)-algebra and \(M\) is a \(\Gamma\)-graded \(R\)-bimodule. Let \(M_{-1}=0\) and \(M_{i+1}\) for \(i\geqslant -1\) is defined as \(R\)-bimodule generated by all homogeneous elements \(m\in M\) such that \(mr-\beta(d_m ...
openaire   +2 more sources

Differential Invariants of Conformal and Projective Surfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based
Evelyne Hubert, Peter J. Olver
doaj  

Higher-Spin Symmetries and Deformed Schrödinger Algebra in Conformal Mechanics

Advances in Mathematical Physics, 2018
The dynamical symmetries of 1+1-dimensional Matrix Partial Differential Equations with a Calogero potential (with/without the presence of an extra oscillatorial de Alfaro-Fubini-Furlan, DFF, term) are investigated.
Francesco Toppan, Mauricio Valenzuela
doaj   +1 more source