Article
Mathematics, Applied
S. K. Q. Al-Omari
Summary: In this paper, a q-theory of the q-Laplace-type integral operators L-q(2) and (q)l(2) introduced by Ucar and Albayrak in 2011 is developed. Several identities and results related to various classes of q-special functions and q-series expansions are derived. New formulas involving q-trigonometric and q-Bessel functions are also established based on these results.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics, Applied
Zhiguo Liu
Summary: By solving a q-operational equation with formal power series, we prove a new q-exponential operational identity, which uncovers an essential feature of the Rogers-Szego polynomials and provides a systematic method for proving identities involving them. This operational identity allows for easy derivation of various formulas, such as the q-Mehler formula, the q-Burchnall formula, and the q-Doetsch formula, for the Rogers-Szego polynomials. It also offers a new perspective on basic q-formulas and enables new proofs and extensions of known formulas.
SCIENCE CHINA-MATHEMATICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Sabrine Arfaoui, Maryam G. Alshehri, Anouar Ben Mabrouk
Summary: In this paper, an uncertainty principle is derived in the quantum wavelet framework, specifically for the generalized q-Bessel wavelet transform. The uncertainty principle is established based on a q-quantum wavelet, using a two-parameters extension of the classical Bessel operator to generate a wavelet function.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics
Akihiro Miyagawa, Roland Speicher
Summary: We provide concrete formulas for dual and conjugate systems of q-Gaussians represented on the q-deformed Fock space. Using these formulas, we prove the existence of a free Gibbs potential and the finiteness of the non-microstates free Fisher information for any q with -1 < q < 1. We also discuss the potential extension of our results to the more general setting of mixed qij-relations.
ADVANCES IN MATHEMATICS
(2023)
Article
Engineering, Electrical & Electronic
Raymond P. P. Wasky
Summary: This paragraph lists future events that should be of interest to practitioners and researchers.
IEEE ANTENNAS AND PROPAGATION MAGAZINE
(2023)
Article
Engineering, Electrical & Electronic
Rod Waterhouse, Yihong Qi
Summary: This article features an interview with Dr Yihong Qi, president and chief scientist of General Test Systems, Inc., Shenzhen, China, about his perspectives and experiences.
IEEE ANTENNAS AND PROPAGATION MAGAZINE
(2023)
Article
Engineering, Electrical & Electronic
Raymond P. Wasky
Summary: The paragraph lists future events that will be of interest to practitioners and researchers.
IEEE ANTENNAS AND PROPAGATION MAGAZINE
(2023)
Article
Chemistry, Multidisciplinary
Amymarie K. Bartholomew, Elena Meirzadeh, Ilana B. Stone, Christie S. Koay, Colin Nuckolls, Michael L. Steigerwald, Andrew C. Crowther, Xavier Roy
Summary: This study reports a method for the synthesis of synthetically tunable van der Waals materials. By regioselective synthesis of superatomic building blocks and assembly into a 2D lattice, mechanically exfoliable flakes can be obtained. This work demonstrates that the bottom-up assembly of layered materials from superatoms is a promising approach.
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY
(2022)
Article
Computer Science, Artificial Intelligence
Chuan-Kang Ting
Summary: This article discusses how different forms of art represent a single story and compares it to the theme of representation in Computational Intelligence. Representation plays a crucial role in CI and AI techniques, affecting model transparency and explainability, problem space, and search performance. Furthermore, the four Features articles in this issue offer novel designs and discoveries in this field.
IEEE COMPUTATIONAL INTELLIGENCE MAGAZINE
(2023)
Article
Astronomy & Astrophysics
A. Mironova, A. Morozov
Summary: This article presents generalizations of the super integrability property similar to character and discusses possible general structures behind them. It emphasizes the differences between various cases, particularly between Hermitian and complex matrices, and bosonic and fermionic ones. The importance of the story extends beyond Gaussian potentials.
Article
Engineering, Multidisciplinary
Murugan Palanikumar, Nasreen Kausar, Harish Garg, Seifedine Kadry, Jungeun Kim
Summary: This paper discusses the resolution of the multiple-attribute decision-making problem using the q-rung complex diophantine neutrosophic normal set (q-rung CDNNS). It introduces q-rung orthopair fuzzy sets as an important way to express uncertain information, which have superiority over intuitionistic fuzzy sets and Pythagorean fuzzy sets.
ALEXANDRIA ENGINEERING JOURNAL
(2023)
Review
Infectious Diseases
Gina A. Suh, Robin Patel
Summary: In recent years, there has been a renewed interest in phage therapy due to the emergence of antimicrobial resistance and the increasing use of medical devices resulting in biofilm-associated infections. However, the clinical success of phage therapy has been inconsistent due to various reasons, including the narrow host range of phages and the development of resistance. Microbiologic assays can help improve clinical outcomes, but further work is needed to standardize these assays and understand their role in patient management.
CLINICAL MICROBIOLOGY AND INFECTION
(2023)
Review
Infectious Diseases
Gina A. Suh, Robin Patel
Summary: Phage therapy has gained renewed interest due to the emergence of antimicrobial resistance and biofilm-associated infections. However, its clinical success has been inconsistent due to various challenges, including narrow host range, difficulties in concentrating phages at the infection site, bacterial resistance to phages, and immune neutralization. Standardization of diagnostic assays and further understanding of their clinical application are needed.
CLINICAL MICROBIOLOGY AND INFECTION
(2023)
Article
Mathematics, Applied
Rachid Ait-Haddou, Ron Goldman, Marie-Laurence Mazure
Summary: In this study, the uniform convergence of the control polygons generated by repeated degree elevation of q-Bezier curves is established, leading to the introduction of q-positivity and the study of properties of q-polynomials. The research also provides upper bounds for quantum Lorentz degrees and generalizes the univariate Polya theorem for polynomials positive on q-lattices.
APPLIED NUMERICAL MATHEMATICS
(2021)
Article
Multidisciplinary Sciences
Maryam Al-Towailb
Summary: This paper presents the q-Lidstone polynomials generated by the third Jackson q-Bessel function, based on the Green's function of a certain q-difference equation. The q-Fourier series expansions of these polynomials are provided, along with some related results.