Results 31 to 40 of about 3,816 (118)

Linking Bipartiteness and Inversion in Algebra via Graph‐Theoretic Methods and Simulink

Complexity, Volume 2025, Issue 1, 2025.
Research for decades has concentrated on graphs of algebraic structures, which integrate algebra and combinatorics in an innovative way. The goal of this study is to characterize specific aspects of bipartite and inverse graphs that are associated with specific algebraic structures, such as weak inverse property quasigroups and their isotopes ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Arshad, M. I. Elashiry, Samuel Asefa Fufa, Marcin Mrugalski   +6 more
wiley   +1 more source

A New Image Encryption Method Using an Optimized Smart Codebook

Human Behavior and Emerging Technologies, Volume 2025, Issue 1, 2025.
Information attacks have increased worldwide as more information is available in digital form. Image encryption is essential to prevent attackers from unauthorized access to confidential images. In this paper, we introduce a novel image encryption method called the smart codebook, which combines an intelligent codebook technique with the RSA (Rivest ...
Rami Sihwail, Dyala Ibrahim, Reza Rostamzadeh   +2 more
wiley   +1 more source

Statistics of reduced words in locally free and braid groups: Abstract studies and application to ballistic growth model

, 1997
We study numerically and analytically the average length of reduced (primitive) words in so-called locally free and braid groups. We consider the situations when the letters in the initial words are drawn either without or with correlations.
, Chassaing P, Desbois J, J Desbois, Kesten H, Koralov L, Nechaev S, Nechaev S, Nechaev S, Nechaev S K, S Nechaev, Vershik A M, Vershik A M, Viennot G X   +13 more
core   +1 more source

Harnessing quantum power: Revolutionizing materials design through advanced quantum computation

Materials Genome Engineering Advances, Volume 2, Issue 4, December 2024.
The robust framework for advanced materials design via the quantum machine learning is summarized in this review, emphasizing the transformative potential of quantum technologies in revolutionizing materials innovation. Abstract The design of advanced materials for applications in areas of photovoltaics, energy storage, and structural engineering has ...
Zikang Guo, Rui Li, Xianfeng He, Jiang Guo, Shenghong Ju   +4 more
wiley   +1 more source

Cumulants, Spreadability and the Campbell-Baker-Hausdorff Series

, 2019
We define spreadability systems as a generalization of exchangeability systems in order to unify various notions of independence and cumulants known in noncommutative probability.
Hasebe, Takahiro, Lehner, Franz
core   +1 more source

Technical note: The migration distance – a unidirectional distance metric for region‐of‐interest comparisons

Medical Physics, Volume 51, Issue 5, Page 3597-3603, May 2024.
Abstract Background The radiotherapy process relies on several metrics in determining a notion of “distance” from one three‐dimensional region‐of‐interest (ROI) to another. The majority are symmetric (or commutative) and do not contain information pertaining to directionality.
James Stewart, Arjun Sahgal, John Hudson, Angus Lau, Brian Keller, Hanbo Chen, Jay Detsky, Hany Soliman, Chia‐Lin Tseng, Sten Myrehaug, Mark Ruschin   +10 more
wiley   +1 more source

Soft Riemann‐Hilbert problems and planar orthogonal polynomials

Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.
Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley   +1 more source

Sig‐Wasserstein GANs for conditional time series generation

Mathematical Finance, Volume 34, Issue 2, Page 622-670, April 2024.
Abstract Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high‐dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability distributions induced by time‐series data.
Shujian Liao, Hao Ni, Marc Sabate‐Vidales, Lukasz Szpruch, Magnus Wiese, Baoren Xiao   +5 more
wiley   +1 more source

Quantum Fields on the Groenewold-Moyal Plane

, 2008
We give an introductory review of quantum physics on the noncommutative spacetime called the Groenewold-Moyal plane. Basic ideas like star products, twisted statistics, second quantized fields and discrete symmetries are discussed.
A. P. BALACHANDRAN, Akofor E., ANOSH JOSEPH, Balachandran A. P., Barosi L., Bogoliubov N. N., Cai R. G., Carmona J. M., Connes A., Doplicher S., Drinfeld V. G., EARNEST AKOFOR, Faddeev L. D., Landi G., Lipkin H. J., Luders G., Pauli W., Streater R. F., Weyl H., Woronowicz S. L.   +19 more
core   +2 more sources

Spin 1/2 one‐ and two‐particle systems in physical space without eigen‐algebra or tensor product

Mathematical Methods in the Applied Sciences, Volume 47, Issue 3, Page 1457-1470, February 2024.
Under the spin–position decoupling approximation, a vector with a phase in 3D orientation space endowed with geometric algebra substitutes the vector–matrix spin model built on the Pauli spin operator. The standard quantum operator‐state spin formalism is replaced with vectors transforming by proper and improper rotations in the same 3D space ...
Sokol Andoni
wiley   +1 more source