Results 21 to 30 of about 7,736 (267)

Lie Symmetry Analysis of C1m,a,b Partial Differential Equations

Advances in Mathematical Physics, 2021
In this article, we discussed the Lie symmetry analysis of C1m,a,b fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions ...
Hengtai Wang, Aminu Ma’aruf Nass, Zhiwei Zou   +2 more
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$U\left(\mathfrak{h}\right)$-Free Modules over the Lie Algebras of Differential Operators

Mathematics, 2022
This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra.
Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia   +3 more
doaj   +1 more source

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]

Sahand Communications in Mathematical Analysis
In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra   +2 more
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On differential approximations of difference schemes [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov  and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich, Malykh, Mikhail D., Sevastianov, Leonid A.   +2 more
doaj   +1 more source

Combinatorial differential algebra of x

Journal of Symbolic Computation, 2023
We link $n$-jets of the affine monomial scheme defined by $x^p$ to the stable set polytope of some perfect graph. We prove that, as $p$ varies, the dimension of the coordinate ring of a certain subscheme of the scheme of $n$-jets as a $\mathbb{C}$-vector space is a polynomial of degree $n+1$, namely the Ehrhart polynomial of the stable set polytope of ...
Rida Ait El Manssour, Anna-Laura Sattelberger   +1 more
openaire   +3 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, D. A. Voronov, A. A. Grodz, O. I. Krivorotko   +3 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, N. Hoang-Nghia, Thomas Krajewski, A. Tanasa   +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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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]

Adv Intell Discov
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc   +2 more sources

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