Results 51 to 60 of about 200 (167)

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

Physical Review D, 1999
It is pointed out that the Mersenne primes $M_p=(2^p-1)$ and associated perfect numbers ${\cal M}_p=2^{p-1}M_p$ play a significant role in string theory; this observation may suggest a classification of consistent string theories.
Frampton, Paul H., Kephart, Thomas W.
openaire   +2 more sources

Evaluation of an implementation intentions intervention for managing university student stress

Stress and Health, Volume 40, Issue 3, June 2024.
Abstract University students consistently report high levels of stress, which has been associated with a range of adverse outcomes. Promoting adaptive coping behaviours, such as problem‐focused coping for managing university stress, is therefore a timely area of investigation.
Leah J. Rackemann, Kyra Hamilton, Jacob J. Keech   +2 more
wiley   +1 more source

Congruence Properties of Mersenne Primes

, 2011
In this research paper, relationship between every Mersenne prime and certain Natural numbers is explored. We begin by proving that every Mersenne prime is of the form {4n + 3,for some integer 'n'} and generalize the result to all powers of 2. We also tabulate and show their relationship with other whole numbers up to 10.
Srinath, M. S., Murthy, Garimella Rama, Chandrasekharan, V.   +2 more
openaire   +2 more sources

Applications of the Clifford torus to material textures

Journal of Applied Crystallography, Volume 57, Issue 3, Page 638-648, June 2024.
A new 2D representation of 3D material textures based on the Clifford torus is presented.This paper introduces a new 2D representation of the orientation distribution function for an arbitrary material texture. The approach is based on the isometric square torus mapping of the Clifford torus, which allows for points on the unit quaternion hypersphere ...
Marc De Graef
wiley   +1 more source

Prospects for the Use of Quasi-Mersen Numbers in the Design of Parallel-Serial Processors

Applied Sciences
It is shown that a serial-parallel processor, comparable in bit capacity to a 16-bit binary processor, can be implemented based on an algorithm built on the residue number system, a distinctive feature of which is the use of the first four quasi-Mersenne
Aruzhan Kadyrzhan, Kaisarali Kadyrzhan, Akhat Bakirov, Ibragim Suleimenov   +3 more
doaj   +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

Trigger-Based Systems as a Promising Foundation for the Development of Computing Architectures Based on Neuromorphic Materials

Technologies
It is demonstrated that neuromorphic materials designed for computational tasks can be effectively implemented by drawing an analogy with trigger-based systems built upon classical binary elements.
Dina Shaltykova, Kaisarali Kadyrzhan, Jelena Caiko, Yelizaveta Vitulyova, Ibragim Suleimenov   +4 more
doaj   +1 more source

mid-pSquare: Leveraging the Strong Side-Channel Security of Prime-Field Masking in Software

Transactions on Cryptographic Hardware and Embedded Systems
Efficiently protecting embedded software implementations of standard symmetric cryptographic primitives against side-channel attacks has been shown to be a considerable challenge in practice.
Brieuc Balon, Lorenzo Grassi, Pierrick Méaux, Thorben Moos, François-Xavier Standaert, Matthias Johann Steiner   +5 more
doaj   +1 more source

Electronic Fourier–Galois Spectrum Analyzer for the Field GF(31)

Applied Sciences
A scheme for the Fourier–Galois spectrum analyzer for the field GF(31) is proposed. It is shown that this analyzer allows for solving a wide enough range of problems related to image processing, in particular those arising in the course of experimental ...
Kaisarali Kadyrzhan, Daulet Kaldybekov, Saltanat Baipakbaeva, Yelizaveta Vitulyova, Dinara Matrassulova, Ibragim Suleimenov   +5 more
doaj   +1 more source

NeonCROSS: Vectorized Implementation of Post-Quantum Signature CROSS on Cortex-A72 and Apple M3

Transactions on Cryptographic Hardware and Embedded Systems
The advancement of quantum computing threatens traditional public-key cryptographic systems, prompting the development of post-quantum cryptography (PQC).
Hanyu Wei, Wenqian Li, Yunlei Zhao
doaj   +1 more source