Results 81 to 90 of about 1,694 (268)
Contractions of Lie algebras and algebraic groups
Archivum Mathematicum, 2007 Degenerations, contractions and deformations of various algebraic structures play an important role in mathematics and physics. There are many different definitions and special cases of these notions. We try to give a general definition which unifies these notions and shows the connections among them.
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Advanced Physics Research, EarlyView.This graphical abstract illustrates the unified framework of Data Field Theory (DFT), integrating hyperbolic geometry for hierarchical embedding, gauge theory for internal symmetries, renormalization group for multi‐scale dynamics, Lévy processes for heavy‐tailed fluctuations, noncommutative geometry for quantum‐inspired cognition, and higher ...
Mohammadreza Nehzati
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Blaschke inductive limits of uniform algebras
International Journal of Mathematics and Mathematical Sciences, 2001 We consider and study Blaschke inductive limit algebrasA(b), defined as inductive limits of disc algebras A(D) linked by a sequence b={Bk}k=1∞ of finite Blaschke products.
S. A. Grigoryan, T. V. Tonev
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Note on Lie Point Symmetries of Burgers Equations
Trends in Computational and Applied Mathematics, 2010 . In this note we study the Lie point symmetries of a class of evolution equations and obtain a group classification of these equations. We also identify the classical Lie algebras that the symmetry Lie algebras are isomorphic to.
I. L. Freire
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Journal of the Association for Information Science and Technology, EarlyView.Abstract The issue of inequality caused by algorithms, termed ‘algorithmic inequality’, has recently attracted scholarly attention in many disciplines due to its profound implications for society. While the body of literature on algorithmic inequality has grown, there remains a lack of comprehensive understanding of its nature, drivers, and impact ...
Shiwei Jia, Jia Tina Du, Hui Yan
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Controllability and Observability Conditions for Impulsive DAEs on Time Scales
Asian Journal of Control, EarlyView.ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus +3 more
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British Educational Research Journal, EarlyView.Abstract This paper presents an exploratory analysis of contemporary curricular and professional qualification policies in the Scottish education system, focusing on minimum qualification thresholds for mathematics teaching. The study examines how veteran secondary mathematics practitioners perceive the structural and pedagogical implications of using ...
Paul Argyle McDonald
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A note on the Zariski lemma for Hopf algebras
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004 The formulation of the lemma of Zariski is given for coactions of a class of Hopf algebras of the additive group on algebras. Known formulations and consequences of the lemma of Zariski for derivations and differentiations are revised.
Utano, R, Restuccia, G
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Algebraic automorphism groups [PDF]
Illinois Journal of Mathematics, 1975 For an algebraic group G, let W(G) denote the group of all algebraic group automorphisms of G. In this chapter, we examine the possibility of endowing W(G) with the structure of an algebraic group in such a way that G becomes a strict W(G)-variety. The example of a toroid of dimension greater than 1 shows that this is not always possible. However, good
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Biochemistry and Molecular Biology Education, Volume 53, Issue 2, Page 131-141, March/April 2025.Abstract In the classroom, metabolism is often approached and received as a mundane exercise in memorization. Teaching metabolism also faces the challenge of negative perceptions that can impede learning. We sought to improve the learning experience in an undergraduate lecture course on microbial metabolism by implementing an illustrated story that ...
James B. McKinlay, Katherine Kearns
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