Results 31 to 40 of about 16,698 (215)
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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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
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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
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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
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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.
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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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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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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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(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 operators on the free algebras [PDF]
Selecta Mathematica, 2011 25 ...
Iyer, Uma N., McCune, Timothy C.
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