Results 31 to 40 of about 816 (183)
On division rings with algebraic commutators of bounded degree
manuscripta mathematica, 2004 Using results on generalized polynomial and rational identities, the authors prove results about algebras with algebraic commutators. One result is that if \(R\) is a prime ring with extended centroid \(C\), and if for a positive integer \(n\) and all \(x,y\in R\), \(xy-yx\) is algebraic over \(C\) of degree at most \(n\), then \([RC:C]\leq n^2\).
Chebotar, M. A., Lee, P. H., Fong, Y.
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
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The squared Commutativity degree of dihedral groups [PDF]
, 2016 The commutativity degree of a finite group is the probability that a random pair of elements in the group commute. Furthermore, the n-th power commutativity degree of a group is a generalization of the commutativity degree of a group which is defined as ...
Hamid, M. A. +4 more
core
Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, EarlyView.ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
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On commutative algebras of degree two [PDF]
Transactions of the American Mathematical Society, 1962 Let 9 be a simple, commutative, power-associative algebra of degree 2 over an algebraically closed field a of characteristic not equal to 2, 3 or 5. The degree of 9 is defined to be the number of elements in the maximal set of pairwise orthogonal idempotents in W. This algebra has a unit element 1 [1, Theorem 3].
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An Innovative Approach to Multi‐Valued Logic
IEEJ Transactions on Electrical and Electronic Engineering, EarlyView.The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
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Fused Collapsing for Wide BVH Construction
Computer Graphics Forum, EarlyView.Abstract We propose a novel approach for constructing wide bounding volume hierarchies on the GPU by integrating a simple bottom‐up collapsing procedure within an existing binary bottom‐up BVH builder. Our approach directly constructs a wide BVH without traversing a temporary binary BVH as done by previous approaches and achieves 1.4 – 1.6 × lower ...
Wilhem Barbier, Mathias Paulin
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The Quartic Commutativity Degree of Dihedral Groups
Malaysian Journal of Fundamental and Applied Sciences, 2023 The combination of group theory and probability theory was used in studying the connection between the two. In recent years, probability theory has been widely used in solving several difficult problems in group theory. The commutativity degree of a group, is defined as the probability that two random elements in a group commute.
Muhanizah Abdul Hamid, Adnin Afifi Nawi
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Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Computer Graphics Forum, EarlyView.Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
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Establishing Shape Correspondences: A Survey
Computer Graphics Forum, EarlyView.Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
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