Results 41 to 50 of about 9,829 (125)
Clifford representatives via the uniform algebraic rank
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract In this paper, we introduce the uniform algebraic rank of a divisor class on a finite graph. We show that it lies between Caporaso's algebraic rank and the combinatorial rank of Baker and Norine. We prove the Riemann–Roch theorem for the uniform algebraic rank, and show that both the algebraic and the uniform algebraic rank are realized on ...
Myrla Barbosa +2 more
wiley +1 more source
International Journal of Urban and Regional Research, Volume 49, Issue 2, Page 435-451, March 2025.Abstract This article re‐examines the history of the UK Centre for Environmental Studies (CES) between 1966 and 1975. Using archival materials and interviews, the article details the role of the CES in attempts to ‘modernize’ urban and regional research and working relationships between the academy and government.
Julian Molina, Roger Burrows
wiley +1 more source
IET Quantum Communication, Volume 5, Issue 4, Page 486-515, December 2024.Quantum calculi and formalisms aid in designing and analysing new cryptographic protocols for blockchain, assessing the feasibility and security of quantum algorithms, and building a quantum‐safe blockchain system. Bibliometric analysis is performed using R language and automated tools to identify key institutions, authors, organisations, and ...
Adarsh Kumar +2 more
wiley +1 more source
Hypercomplex operator calculus for the fractional Helmholtz equation
Mathematical Methods in the Applied Sciences, Volume 47, Issue 14, Page 11439-11472, 30 September 2024.In this paper, we develop a hypercomplex operator calculus to treat fully analytically boundary value problems for the homogeneous and inhomogeneous fractional Helmholtz equation where fractional derivatives in the sense of Caputo and Riemann–Liouville are applied.
Nelson Vieira +3 more
wiley +1 more source
IET Control Theory &Applications, Volume 18, Issue 13, Page 1649-1668, September 2024.This research investigates the closed‐loop stability of dynamic systems controlled by deep reinforcement learning agents through Lyapunov analysis and a linear‐quadratic polynomial approximation of the trained agent. The study validates its approach with simulations and experiments on real‐world hardware, confirming the deep reinforcement learning's ...
Mohammed Basheer Mohiuddin +3 more
wiley +1 more source
An extension of the complex–real (C–R) calculus to the bicomplex setting, with applications
Mathematische Nachrichten, Volume 297, Issue 2, Page 454-481, February 2024.Abstract In this paper, we extend notions of complex C−R$\mathbb {C} - \mathbb {R}$‐calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Daniel Alpay, Kamal Diki, Mihaela Vajiac
wiley +1 more source
Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm's hidden variables. [PDF]
Sci Rep, 2022 Santilli RM, Sobczyk G.
europepmc +1 more source
The Study Variety of Conformal Kinematics. [PDF]
Adv Appl Clifford Algebr, 2022 Kalkan B +3 more
europepmc +1 more source
Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates. [PDF]
Commun Math Phys, 2023 Haferkamp J +5 more
europepmc +1 more source
An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]
Adv Appl Clifford Algebr, 2021 Scharler DF, Schröcker HP.
europepmc +1 more source