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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
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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
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(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
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Differential equations for algebraic functions [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions. We show that the linear differential equation of minimal order has coefficients whose degree is cubic in the degree of the function.
Bostan, Alin +4 more
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A counterexample in differential algebra [PDF]
Proceedings of the American Mathematical Society, 1965 1. The example. Let A be a nontrivial additive subgroup of the complexes, C, with a finite additive basis, c1, . , c.n; and let G be the multiplicative group of those complex numbers u such that A is closed under multiplication by both u and u-1. Suppose that G does not consist entirely of roots of unity.2 Let F be the field of meromorphic functions ...
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Differential operators on the free algebras [PDF]
Selecta Mathematica, 2011 25 ...
Iyer, Uma N., McCune, Timothy C.
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Painlevé Equation PII and Strongly Normal Extensions
Demonstratio Mathematica, 2016 The aim of this paper is to show that if F is a differential field and y is a PII transcendent such that tr.deg.F 〈y〉 = 2, then every constant in F〈y〉 is in F. We also show that in this case, F〈y〉 is not contained in any strongly normal extension.
Miri Sofiane El-Hadi
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Index reduction of differential algebraic equations by differential algebraic elimination
CoRR, 2015 19 pages ...
Xiaolin Qin +4 more
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Intelligent Tutoring Systems for Adult Learning in STEM Disciplines
New Directions for Adult and Continuing Education, EarlyView.ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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