Results 51 to 60 of about 251 (170)
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
wiley +1 more source
The Vector Algebra War: A Historical Perspective
IEEE Access, 2016 There are a wide variety of different vector formalisms currently utilized in engineering and physics. For example, Gibbs' three-vectors, Minkowski four-vectors, complex spinors in quantum mechanics, and quaternions used to describe rigid body rotations ...
James M. Chappell +3 more
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Optimal Quantum Control in Fermionic Stochastic Systems With Bounded Delay
IET Quantum Communication, Volume 7, Issue 1, January/December 2026.This figure illustrates the workflow of a quantum control system driven by fermionic Brownian motion, integrating control inputs, delay conditions and state updates. It outlines the iterative process of constructing a cost functional system, applying optimality conditions, and refining the quantum state through control functions.
Divyabala Kanagaraj, Durga Nagarajan
wiley +1 more source
Group theoretic approach to fermion production
Journal of High Energy Physics, 2019 We propose a universal group theoretic description of the fermion production through any type of interaction to scalar or pseudo-scalar. Our group theoretic approach relies on the group SU(2) × U(1), corresponding to the freedom in choosing ...
Ui Min, Minho Son, Han Gyeol Suh
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Geometric Tri-Product of the Spin Domain and Clifford Algebras [PDF]
Advances in Applied Clifford Algebras, 2008 28 pages, 4 ...
openaire +2 more sources
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
wiley +1 more source
On the Presentation and Cayley Graph of the Bruck–Reilly Idealization Semigroup
Journal of Mathematics, Volume 2026, Issue 1, 2026.Transferring constructions between different algebraic structures often reveals deep connections and enables the application of techniques from one theory to another. The idealization of the module over a ring, introduced by Nagata in 1962, has been a powerful tool in commutative algebra for decades.
Suha Wazzan +3 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
wiley +1 more source
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
wiley +1 more source
Clifford Algebra’s Geometric Product Properties in Image-Processing and its Efficient Implementation
Iranian Journal of Electrical and Electronic Engineering, 2019 Clifford Algebra (CA) is an effective substitute for classic algebra as the modern generation of mathematics. However, massive computational loads of CA-based algorithms have hindered its practical usage in the past decades.
A. Sadr, N. Orouji
doaj