Results 21 to 30 of about 7,465 (167)
On the Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]
, 2021 This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the fundamental theorem of tropical differential ...
Boulier, François +3 more
openaire +4 more sources
Identifiability of mathematical models in medical biology
Вавиловский журнал генетики и селекции, 2016 Analysis of biological data is a key topic in bioinformatics, computational genomics, molecular modeling and systems biology. The methods covered in this article could reduce the cost of experiments for biological data.
S. I. Kabanikhin +3 more
doaj +1 more source
Renormalization group-like proof of the universality of the Tutte polynomial for matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solutions
G. Duchamp +3 more
doaj +1 more source
An Introduction to Spinor Differential and Integral Calculus from q− Lorentzian Algebra
Revista Integración, 2023 We introduce in this paper the spinor differential and integral calculus from q- lorentzian algebra, differential spinor equation and lorentzian q− spinor differential equation. Finally a few comments.
Julio Cesar Jaramillo Quiceno
doaj +1 more source
BAXTER ALGEBRAS AND DIFFERENTIAL ALGEBRAS
Differential Algebra and Related Topics, 2002 A Baxter algebra is a commutative algebra $A$ that carries a generalized integral operator. In the first part of this paper we review past work of Baxter, Miller, Rota and Cartier in this area and explain more recent work on explicit constructions of free Baxter algebras that extended the constructions of Rota and Cartier.
openaire +2 more sources
DiffAlg: a Differential algebra package [PDF]
Journal of Software for Algebra and Geometry, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubinsky, Manuel +3 more
openaire +2 more sources
Telematics and Informatics ReportsCloud computing environments face persistent threats from sophisticated Distributed Denial of Service (DDoS) attacks. Effective defense requires not only high accuracy but also real-time performance and transparent decision-making, a combination that ...
Mohamed Ouhssini +6 more
doaj +1 more source
Generalized geometric Lie algebra and its research
上海师范大学学报. 自然科学版, 2023 In order to explore the general extension meanings of Lie algebra， the generalized geometric Lie bracket and generalized geometric Lie algebra are constructed and their related properties are studied， containing Lie algebra as a special case.
WANG Gen, LIANG Yuxia
doaj +1 more source
Differential Bundles in Commutative Algebra and Algebraic Geometry
Theory and Applications of Categories, 2023 In this paper, we explain how the abstract notion of a differential bundle in a tangent category provides a new way of thinking about the category of modules over a commutative ring and its opposite category. MacAdam previously showed that differential bundles in the tangent category of smooth manifolds are precisely smooth vector bundles.
Cruttwell, G. S. H. +1 more
openaire +3 more sources
(q, σ, τ)-Differential Graded Algebras
Universe, 2018 We propose the notion of ( q , σ , τ ) -differential graded algebra, which generalizes the notions of ( σ , τ ) -differential graded algebra and q-differential graded algebra. We construct two examples of ( q , σ
Viktor Abramov +2 more
doaj +1 more source