Results 21 to 30 of about 132 (122)

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

open access: yesArab 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

Efficient and Constant Time Modular Reduction With Generalized Mersenne Primes

open access: yesIEEE 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

Complexity Lower Bound for Boolean Functions in the Class of Extended Operator Forms

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
Starting with the fundamental work of D.E.Muller in 1954, the polynomial representations of Boolean functions are widely investigated in connection with the theory of coding and for the synthesis of circuits of digital devices.
A.S. Baliuk
doaj   +1 more source

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

Performances and Fatigue Responses to Weighted Vest Training in Parkour Novices

open access: yesEuropean Journal of Sport Science, Volume 26, Issue 10, October 2026.
ABSTRACT Weighted vest training has demonstrated benefits for muscle strength, which is critical for parkour performance. However, the acute effects of external loading in this discipline remain poorly understood. This study investigated the impact of weighted vest use during parkour sessions on lower‐limb performance, perceived exertion, and muscle ...
Sidney Grosprêtre   +5 more
wiley   +1 more source

Acerca de algunos exponentes de Mersenne (About some Mersenne exponents)

open access: yesRevista Digital Matemática, Educación e Internet
Los números primos de Mersenne crecen de manera vertiginosa y se vuelven intratables con las herramientas de cómputo actuales. En este trabajo se repasan brevemente las cadenas de Mersenne para mostrar cómo ese crecimiento exponencial impone un límite en
Gerardo Miramontes de León
doaj   +1 more source

Rocking and Rolling of Rigid Polygons Under Seismic Excitation

open access: yesEarthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3161-3180, 10 October 2026.
ABSTRACT We present an event driven analytical framework for rigid cyclic polygons subjected to horizontal ground excitation in which uplift, impact, and successive pivot switching are treated within a unified non‐smooth dynamical description. Rolling is defined as a sequence of energetically admissible transitions between neighbouring vertices tied to
Atif Rasheed   +1 more
wiley   +1 more source

Spatial optimization to support economically driven decision making for early‐season stand challenges in corn

open access: yesAgrosystems, Geosciences &Environment, Volume 9, Issue 3, September 2026.
Abstract Producers have an interest in mitigating yield and profit penalties associated with stand loss. When damage occurs early in the growing season, producers may opt to replant corn (Zea mays L.) to recoup potential yield losses. Likewise, producers could opt against replanting and accept the loss.
Jennifer Sublett   +6 more
wiley   +1 more source

Performance of DRNNAGE for macroscopic age‐at‐death estimation in contemporary Brazilian identified skeletons

open access: yesJournal of Forensic Sciences, Volume 71, Issue 4, Page 1556-1567, July 2026.
Abstract In global forensic literature, methods for estimating age in young individuals are more commonly addressed than those applicable to adults. This trend is also evident in Brazil. This study aimed to evaluate the performance of the DRNNAGE software for age estimation in Brazilian identified human skeletons. The sample consisted of 400 skeletons (
André Marquim Nogueira da Fonte Cornélio   +6 more
wiley   +1 more source

Energy Dissipation in Hilbert Envelopes on Motion Waveforms Detected in Vibrating Dynamical Systems: An Axiomatic Approach

open access: yesCommunications in Advanced Mathematical Sciences
This paper introduces an axiomatic approach in the theory of energy dissipation in Hilbert envelopes on motion waveforms emanating from various vibrating dynamical systems. A Hilbert envelope is a curve tangent to peak points on a motion waveform.
Tharaka Liyanage, James F. Peters
doaj   +1 more source

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