Results 81 to 90 of about 1,108 (208)

On Gersenne Sequence: A Study of One Family in the Horadam-Type Sequence

Axioms
This study introduces an innovative approach to Mersenne-type numbers. This paper introduces a new class of numbers, which we call Gersenne numbers. The aim of this paper is to define the Gersenne sequence and to investigate some of their properties ...
Douglas Catulio Santos, Eudes Antonio Costa, Paula M. M. C. Catarino   +2 more
doaj   +1 more source

Variable‐Range Hopping Conduction in Amorphous, Non‐Stoichiometric Gallium Oxide

Advanced Electronic Materials, Volume 11, Issue 4, April 2025.
The combination of experimental evidence, ab‐initio DOS calculations and quantitative modeling by kinetic Monte Carlo simulations reveals: Variable‐range hopping (VRH) is the dominant electron conduction mechanism in a‐GaOx (x = 0.8 to 1.0), even at room temperature, which leads to a new, fundamental understanding of a‐GaOx‐based electronic devices ...
Philipp Hein, Tobias Romstadt, Fabian Draber, Jinseok Ryu, Thorben Böger, Andreas Falkenstein, Miyoung Kim, Manfred Martin   +7 more
wiley   +1 more source

A characterization of some finite simple groups by their character codegrees

Mathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.
Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley   +1 more source

Generalizing the eight levels theorem: a journey to Mersenne prime discoveries and new polynomial classes

Arab Journal of Basic and Applied Sciences
Mersenne primes, renowned for their captivating form as [Formula: see text] have intrigued mathematicians for centuries. In this paper, we embark on a captivating quest to unveil the intricate nature of Mersenne primes, seamlessly integrating methods ...
Moustafa Ibrahim
doaj   +1 more source

Multiscale Stochastic Modeling of Backward Erosion Piping Initiation, From Grain Kinetics to Weibull Statistics. Part I: Analytical Derivations

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 4, Page 1262-1277, March 2025.
ABSTRACT Backward erosion piping (BEP) is a significant contributor to failures in global flood protection infrastructure, yet it remains among the least understood geotechnical phenomena, particularly concerning the fundamental mechanisms driving its initiation.
Zhijie Wang, Caglar Oskay, Alessandro Fascetti   +2 more
wiley   +1 more source

Grading of diabetic retinopathy using a pre‐segmenting deep learning classification model: Validation of an automated algorithm

Acta Ophthalmologica, Volume 103, Issue 2, Page 215-221, March 2025.
Abstract Purpose To validate the performance of autonomous diabetic retinopathy (DR) grading by comparing a human grader and a self‐developed deep‐learning (DL) algorithm with gold‐standard evaluation. Methods We included 500, 6‐field retinal images graded by an expert ophthalmologist (gold standard) according to the International Clinical Diabetic ...
Dyllan Edson Similié, Jakob K. H. Andersen, Sebastian Dinesen, Thiusius R. Savarimuthu, Jakob Grauslund   +4 more
wiley   +1 more source

Sequences in finite fields yielding divisors of Mersenne, Fermat and Lehmer numbers, I [PDF]

Notes on Number Theory and Discrete Mathematics
The aim of this work is to present a method using the cyclic sequences {Mₖ},{θₜₖ} and {ψₜₖ} in the finite fields 𝔽_ρ, with ρ a prime, that yield divisors of Mersenne, Fermat and Lehmer numbers.
A. M. S. Ramasamy
doaj   +1 more source

Generalized New Mersenne Number Transforms

IEEE Transactions on Signal Processing, 2012
Two new number theoretic transforms named as odd and odd-squared new Mersenne number transforms are introduced for incorporation into a generalized new Mersenne number transforms (GNMNTs) suite, which are defined in finite fields modulo Mersenne primes where arithmetic operations and residue reductions are simple to implement. This suite is categorized
Boussakta S, Mounir H, Rutter N
openaire   +2 more sources

Development and validation of a deep learning model for morphological assessment of myeloproliferative neoplasms using clinical data and digital pathology

British Journal of Haematology, Volume 206, Issue 2, Page 596-606, February 2025.
The subjectivity of morphological assessment and the overlapping pathological features of different subtypes of myeloproliferative neoplasms (MPNs) make accurate diagnosis challenging. To improve the pathological assessment of MPNs, we took both haematoxylin–eosin staining BM whole‐slide images (WSI) and clinical features from 1051 MPN and non‐MPN ...
Rong Wang, Zhongxun Shi, Yuan Zhang, Liangmin Wei, Minghui Duan, Min Xiao, Jin Wang, Suning Chen, Qian Wang, Jianyao Huang, Xiaomei Hu, Jinhong Mei, Jieyu He, Feng Chen, Lei Fan, Guanyu Yang, Wenyi Shen, Yongyue Wei, Jianyong Li   +18 more
wiley   +1 more source

A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

Universal Journal of Mathematics and Applications
In this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal, Hakan Akkuş, Bayram Şen, Engin Özkan   +3 more
doaj   +1 more source