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Axioms, Volume 13, Issue 5

May 2024 - 58 articles

Cover Story: Exceptional simple Jordan algebras play an important role in the structure theory of Jordan algebras, and increasingly also in certain areas of physics like particle physics and general relativity. The first Tits construction is a well-known tripling process to construct these algebras. Its ingredients are a central simple algebra of degree three and a nonzero scalar in the base field needed when defining the multiplication of the algebra. What happens when we employ an element in the central simple algebra instead of this scalar? In answering this question, we find a new family of highly nonassociative algebras, which obey surprisingly similar identities to their classical “cousins”. View this paper
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Articles (58)

  • Article
  • Open Access
1,407 Views
20 Pages

Coercive and Noncoercive Mixed Generalized Complementarity Problems

  • Ram N. Mohapatra,
  • Bijaya K. Sahu and
  • Gayatri Pany

15 May 2024

Impressed with the very recent developments of noncoercive complementarity problems and the use of recession sets in complementarity problems, here, we discuss mixed generalized complementarity problems in Hausdorff topological vector spaces. We used...

  • Article
  • Open Access
991 Views
20 Pages

15 May 2024

This paper examines the tractability of multivariate approximation problems under the normalized error criterion for a zero-mean Gaussian measure in an average-case setting. The Gaussian measure is associated with a covariance kernel, which is repres...

  • Article
  • Open Access
1,139 Views
20 Pages

14 May 2024

Considering the solutions of a class of noncooperative Kirchhoff-type p(x)-Laplacian elliptic systems with nonlinear boundary conditions, we derive a sequence of solutions utilizing both the variational method and limit index theory under certain und...

  • Article
  • Open Access
1 Citations
1,638 Views
20 Pages

14 May 2024

Hypercomplex numbers, which are multi-dimensional extensions of complex numbers, have been proven beneficial in the development of advanced signal processing algorithms, including multi-dimensional filter design, linear regression and classification....

  • Article
  • Open Access
2 Citations
4,077 Views
14 Pages

Quantum Vision Transformers for Quark–Gluon Classification

  • Marçal Comajoan Cara,
  • Gopal Ramesh Dahale,
  • Zhongtian Dong,
  • Roy T. Forestano,
  • Sergei Gleyzer,
  • Daniel Justice,
  • Kyoungchul Kong,
  • Tom Magorsch,
  • Konstantin T. Matchev and
  • Katia Matcheva
  • + 1 author

13 May 2024

We introduce a hybrid quantum-classical vision transformer architecture, notable for its integration of variational quantum circuits within both the attention mechanism and the multi-layer perceptrons. The research addresses the critical challenge of...

  • Article
  • Open Access
1,374 Views
17 Pages

13 May 2024

This paper investigates a novel C0 nonconforming virtual element method (VEM) for solving the Kirchhoff plate obstacle problem, which is described by a fourth-order variational inequality (VI) of the first kind. In our study, we distinguish our appro...

  • Article
  • Open Access
1 Citations
1,525 Views
16 Pages

11 May 2024

A quasi-configuration is a point–line incidence structure in which each point is incident with at least three lines and each line is incident with at least three points. We investigate derived quasi-configurations that arise both by duality and...

  • Article
  • Open Access
1 Citations
1,452 Views
13 Pages

Stability of the Borell–Brascamp–Lieb Inequality for Multiple Power Concave Functions

  • Meng Qin,
  • Zhuohua Zhang,
  • Rui Luo,
  • Mengjie Ren and
  • Denghui Wu

11 May 2024

In this paper, we prove the stability of the Brunn–Minkowski inequality for multiple convex bodies in terms of the concept of relative asymmetry. Using these stability results and the relationship of the compact support of functions, we establi...

  • Article
  • Open Access
1 Citations
1,308 Views
16 Pages

11 May 2024

In this article, we consider a make-to-stock queueing system with retrial customers. Upon their arrival, customers make a decision to either join the system or not based on a reward–cost function. If customers join the retrial queue, they becom...

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Axioms - ISSN 2075-1680