Results 61 to 70 of about 986 (177)

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

Arab 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

On Mersenne Numbers and their Bihyperbolic Generalizations

Annales Mathematicae Silesianae
Abstract In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers. Moreover, we study one parameter generalizations of Mersenne and Mersenne–Lucas bihyperbolic numbers.
Dorota Bród, Anetta Szynal-Liana
openaire   +2 more sources

Application for Determining Repeatability and Reproducibility in an Honest Gauge R&R Study

Quality and Reliability Engineering International, Volume 41, Issue 5, Page 1953-1970, July 2025.
ABSTRACT The analysis of variance (ANOVA) method and the range method are employed to conduct gauge repeatability and reproducibility studies. While the range method does not account for the statistical nature of the data, unlike the ANOVA method, it is, on the one hand, faster and, on the other hand, simpler to implement.
Alban Petitjean, Olivier Musset
wiley   +1 more source

Improved SAFER Plus Algorithm Using the Odd-Squared New Mersenne Number Transform

Proceedings of the International Conference on Applied Innovations in IT
Encryption secures data by transforming it into unreadable information (ciphertext) that can only be read by authorized receivers, who then convert the unclear data back into the original plaintext.
Abdulmutalib A-Wahab Hussein, Lujain Sabah Abdulla, Mounir Taha Hamood   +2 more
doaj   +1 more source

On the factors of certain Mersenne numbers. II [PDF]

Mathematics of Computation, 1964
Verf. läßt einer mit \textit{G. D. Johnson} gemeinsam veröffentlichten Arbeit [Math. Comput. 14, 365--369 (1960; Zbl 0099.26305)] einen zweiten Teil folgen. Dieser verzeichnet \(899\) neue Faktoren \(q\) von \(M_p\), für \(383\le p < 20000\) und dient gleichsam als Vervollständigung früherer derartiger Verzeichnisse, etwa \textit{S.
openaire   +2 more sources

Groups with triangle‐free graphs on p$p$‐regular classes

Mathematische Nachrichten, Volume 298, Issue 6, Page 1796-1807, June 2025.
Abstract Let p$p$ be a prime. In this paper, we classify the p$p$‐structure of those finite p$p$‐separable groups such that, given any three non‐central conjugacy classes of p$p$‐regular elements, two of them necessarily have coprime lengths.
M. J. Felipe, M. K. Jean‐Philippe, V. Sotomayor   +2 more
wiley   +1 more source

Kenelm Digby's logic of common and natural notions

The Southern Journal of Philosophy, Volume 63, Issue 2, Page 157-173, June 2025.
Abstract In this article, I take a fresh look at the logic of common and natural notions contained in the Two Treatises published in 1644 by Kenelm Digby (1603–1665). Digby's doctrine of common notions was an attempt to retrofit Aristotelianism in order to bring it out of the shadows of scholasticism and into the age of the new experimental and ...
Mogens Lærke
wiley   +1 more source

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

Quantum 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, Mustapha Krim, El Mehdi Essaidi, Othmane Kaanouch, Mohammed Reda Mesradi, Abdelkrim Kartouni, Souha Sahraoui   +6 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

Efficient and Constant Time Modular Reduction With Generalized Mersenne Primes

IEEE Access
Many cryptographic applications require a vast number of modular multiplications with a large prime modulus. Generalized Mersennes are a class of primes commonly used in cryptography because of their special forms.
Serdar S. Erdem, Sezer S. Erdem
doaj   +1 more source