Results 1 to 10 of about 180,206 (238)
Algebraic groups as difference Galois groups of linear differential equations [PDF]
Journal of Pure and Applied Algebra, 2022 We study the inverse problem in the difference Galois theory of linear differential equations over the difference-differential field $\mathbb{C}(x)$ with derivation $\frac{d}{dx}$ and endomorphism $f(x)\mapsto f(x+1)$. Our main result is that every linear algebraic group, considered as a difference algebraic group, occurs as the difference Galois group
Bachmayr, Annette, Wibmer, Michael
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Almost-simple affine difference algebraic groups [PDF]
Mathematische Zeitschrift, 2021 Comment: 49 pages. This submission contains the results of Sections 7, 8, 10, 11.2, 12 of arXiv:1405.6603v1, which has been replaced by arXiv:1405 ...
Michael Wibmer
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Torsors for difference algebraic groups [PDF]
Communications in Contemporary Mathematics, 2021 We introduce a cohomology set for groups defined by algebraic difference equations and show that it classifies torsors under the group action. This allows us to compute all torsors for large classes of groups. We also present an application to the Galois theory of differential equations depending on a discrete parameter.
Bachmayr, Annette, Wibmer, Michael
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Binary sequence/array pairs via diference set pairs: A recursive approach [PDF]
Transactions on Combinatorics, 2017 Binary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(DSPs) in abelian groups are studied. In addition to generalizing known 1-dimensional (sequences) examples,
K. T. Arasu, Anika Goyal, Abhishek Puri
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MaPan: Jurnal Matematika dan Pembelajaran, 2021 This study aims to determine the effect of treatment on student learning outcomes in the algebraic structure course at the Department of Mathematics Education of the University of Muhammadiyah Makassar in virtual learning through the online learning ...
St. Nur Humairah Halim +4 more
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Students’ mathematics and real life contexts in solving algebraic word problems
Al-Jabar, 2023 Background: Algebra involves rules of operations, signs of operations, equations, and algebraic structures. Previous studies have indicated that students often struggle with mathematics in both academic and real-life contexts.
Joseph Baidoo, Clement Ayarebilla Ali
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Simple algorithm for judging equivalence of differential-algebraic equation systems
Scientific Reports, 2023 Mathematical formulas play a prominent role in science, technology, engineering, and mathematics (STEM) documents; understanding STEM documents usually requires knowing the difference between equation groups containing multiple equations.
Shota Kato, Chunpu Zhang, Manabu Kano
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From HX-Groups to HX-Polygroups
Axioms, 2023 HX-groups are a natural generalization of groups that are similar in construction to hypergroups. However, they do not have to be considered as hypercompositional structures like hypergroups; instead, they are classical groups.
Seyed Sh. Mousavi +2 more
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Finiteness Properties of Affine Difference Algebraic Groups [PDF]
International Mathematics Research Notices, 2020 Abstract We establish several finiteness properties of groups defined by algebraic difference equations. One of our main results is that a subgroup of the general linear group defined by possibly infinitely many algebraic difference equations in the matrix entries can indeed be defined by finitely many such equations.
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Results in Physics, 2021 To heighten the diagnostic efficiency, in this study, the algebraic reconstruction technology (ART)-based echocardiography (ECG) was used to analyze severe fever with thrombocytopenia syndrome bunyavirus (SFTSV) complicated by atrial fibrillation.
Lin Tao +11 more
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