Results 31 to 40 of about 384 (160)

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

Rocking and Rolling of Rigid Polygons Under Seismic Excitation

open access: yesEarthquake Engineering &Structural Dynamics, EarlyView.
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

Mersenne Primes [PDF]

open access: yes, 2011
Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In this article, his life is not only depicted but his mathematical intellect is highlighted through his achievements.
Fryer, Joseph, Detro, Casey
core  

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

Mersenne primes, polygonal anomalies and string theory classification [PDF]

open access: yes, 1999
It is pointed out that the Mersenne primes M{sub p}=(2{sup p}{minus}1) and associated perfect numbers M{sub p}=2{sup p{minus}1}M{sub p} play a significant role in string theory; this observation may suggest a classification of consistent string theories.
Kephart, Thomas W.
core   +2 more sources

Quantitative Microbial Risk Assessment of Human H5N1 Infection From Consumption of Fluid Cow's Milk

open access: yesRisk Analysis, Volume 46, Issue 7, July 2026.
ABSTRACT The spillover of H5N1 clade 2.3.4.4b into dairy cattle has raised concerns over the safety of fluid milk. While no foodborne infection has been reported in humans, this strain has infected at least 70 people, and milk from infected cows is known to be infected by ingestion of multiple other species.
Katherine J. Koebel   +7 more
wiley   +1 more source

On Generalized Mersenne and Fermat Primes [PDF]

open access: yes, 2009
The classical Merseniie and Fermat primes are, respectivel3^ primes of the form 2^\u27 - 1 and 2^‘ + 1. The Mersenne primes have been studied since antiquity. It is known that if 2^ - 1 is prime then k is prime.
Putnam, Bette Catherine
core   +1 more source

On the fixed‐point proportion of self‐similar groups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
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

Converting Binary Floating‐Point Numbers to Shortest Decimal Strings: An Experimental Review

open access: yesSoftware: Practice and Experience, Volume 56, Issue 4, Page 462-478, April 2026.
ABSTRACT Background When sharing or logging numerical data, we must convert binary floating‐point numbers into their decimal string representations. For example, the number π might become 3.1415927. Engineers have perfected many algorithms for producing such accurate, short strings.
Jaël Champagne Gareau, Daniel Lemire
wiley   +1 more source

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