Results 71 to 80 of about 13,596 (196)

Note on a Mersenne number [PDF]

open access: yesBulletin of the American Mathematical Society, 1934
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The emergence of the Mersenne Star: a new geometry of prime numbers bridging physics and artificial general intelligence

open access: yesArab Journal of Basic and Applied Sciences
This paper introduces a new key geometric way to understand Mersenne prime numbers. It discovers a shape called the Mersenne Star, which appears naturally from a special sequence named the Quanta Prime Sequence (QPS).
Moustafa Ibrahim
doaj   +1 more source

Boolean Hypercubes: The Origin of a Tagged Recursive Logic and the Limits of Artificial Intelligence

open access: yesUniversal Journal of Mathematics and Applications, 2021
Boolean and logical hypercubes are discussed as providers of tags to logical object sets, transforming them into logical tagged sets, a generalization of fuzzy sets.
Ramon Carbó-dorca
doaj   +1 more source

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

open access: yesAdvanced 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   +7 more
wiley   +1 more source

Conversion of Mersenne Twister to double-precision floating-point numbers

open access: yes, 2018
The 32-bit Mersenne Twister generator MT19937 is a widely used random number generator. To generate numbers with more than 32 bits in bit length, and particularly when converting into 53-bit double-precision floating-point numbers in $[0,1)$ in the IEEE ...
Harase, Shin
core   +1 more source

A characterization of some finite simple groups by their character codegrees

open access: yesMathematische 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

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

open access: yesInternational 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   +2 more
wiley   +1 more source

Regularities of Twin, Triplet and Multiplet Prime Numbers [PDF]

open access: yes, 2012
Classifications of twin primes are established and then applied to triplets that generalize to all higher multiplets. Mersenne and Fermat twins and triplets are treated in this framework. Regular prime number multiplets are related to quadratic and cubic
Weber, H. J.
core  

Impact of Pseudo-Random Number Generators on Dosimetric Parameters in Validation of Medical Linear Accelerator Head Simulation for 6 MV Photons Using the GATE/GEANT4 Platform

open access: yesQuantum Beam Science
Monte Carlo simulation relies on pseudo-random number generators. In general, the quality of these generators can have a direct impact on simulation results.
Meriem Tantaoui   +6 more
doaj   +1 more source

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

open access: yesActa 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   +4 more
wiley   +1 more source

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