Results 51 to 60 of about 579 (182)
Clifford's Algebraic Approach in Determining the Direction of Qibla
NoumericoWhile classical methods and hisab methods based on spherical trigonometry and vector algebra are commonly used, this article introduces a more elegant, purely geometric alternative using Clifford Algebra (within the framework of Geometric Algebra).
Muhamad Imam Mutamaqin +1 more
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Alperin's bound and normal Sylow subgroups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng +2 more
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Annalen der Physik, Volume 538, Issue 1, January 2026.The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
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Analytical Frameworks and Theories of Electric Power in Non‐Linear Circuits
IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.Based on the challenges of distorted currents and non‐linear components in modern power grids, this article reviews seminal electrical power theories that seek to generalize the traditional definitions of active, reactive, and apparent power. It provides a detailed analysis of their mathematical foundations, practical implementation, and validity.
Rafael Escudero, Luis Ibarra
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Leonardo Cartan Numbers and Related Fibonacci–Lucas Structures
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the Leonardo Cartan numbers, defined as an extension of the classical Leonardo sequence through additional algebraic structures. The recurrence relations of these numbers are established, and various summation formulas are derived.
Hasan Çakır +2 more
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Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
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Entropy, 2017 We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
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Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
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On Clifford Algebras and Binary Integers [PDF]
Advances in Applied Clifford Algebras, 2016 We show that the binary representation of the integers has a role to play in many aspects of Clifford algebras.
openaire +4 more sources
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15985-15997, 30 November 2025.ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo +3 more
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