Results 81 to 90 of about 16,698 (215)

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  

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

Involutive distributions of operator-valued evolutionary vector fields and their affine geometry

, 2010
We generalize the notion of a Lie algebroid over infinite jet bundle by replacing the variational anchor with an N-tuple of differential operators whose images in the Lie algebra of evolutionary vector fields of the jet space are subject to collective ...
van de Leur, J.W., Sub Algebra,Geometry&Mathem. Logic begr., Kiselev, A, Algebra & Geometry and Mathematical Locic, Kiselev, A.V., van de Leur, Johan W., van de Leur, J. W., van de Leur, J., Kiselev, Arthemy V., Kiselev, A.   +9 more
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Differential Algebra for Derivations with Nontrivial Commutation Rules

, 2003
The classical assumption of differential algebra, differential elimination theory and formal integrability theory is that the derivations do commute. That is the standard case arising from systems of partial differential equations written in terms of the
Hubert, Evelyne
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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

Lie Symmetries and Differential Galois Groups of Linear Equations [PDF]

, 2002
For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formulation of Lie symmetries is developed. It turns out that there is no direct
Put, M. van der, Oudshoorn, W.R.,, Oudshoorn, W.R., Put, M. van der,   +3 more
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Notes toward higher differential algebra

, 1976
This paper is a self-contained introduction to a theory of higher differential algebra. The results were originally accumulated in sporadic attempts to forge a link between differential algebra and the study of formal groups, and one trace of that goal ...
Waterhouse, William C.
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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
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Explicit and implicit methods for second order ordinary differential equations

, 1980
A family of explicit formulas is developed for solving a system of second order linear ordinary differential equations with constant coefficients and with initial conditions specified.
Twizell, E H
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Vertex Algebroids over Veronese Rings

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces ...
Fyodor Malikov
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