Results 111 to 120 of about 1,246,845 (203)

Perfect numbers and Mersenne numbers

, 2022
В статті розглянуто натуральні числа та прості числа Мерсенна. Свою назву вони отримали в честь французького ченця Мерена Мерсенна (1588–1648), який займався проблемою досконалих чисел.
Сіра, І., Мазур, К.
core  

Mersenne Primes [PDF]

, 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   +1 more source

THE ALGORITHM AND PROGRAM OF M-MATRICES SEARCH AND STUDY [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2013
The algorithm and software for search and study of orthogonal bases matrices – minimax matrices (M-matrix) are considered. The algorithm scheme is shown, comments on calculation blocks are given, and interface of the MMatrix software system developed ...
Y. N. Balonin, M. B. Sergeev
doaj  

On the Mersenne sequence [PDF]

, 2016
From Binet’s formula of Mersenne sequence we get some properties for this sequence. Mersenne, Jacobsthal and Jacobsthal-Lucas sequences are considered in order to achieve some relations between them, sums and certain products involving terms of these ...
Campos, Helena, Vasco, Paulo, Catarino, Paula   +2 more
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The sequence of higher order Mersenne numbers and associated binomial transforms

, 2023
In this article, we introduce and study a new integer sequence referred to as the higher order Mersenne sequence. The proposed sequence is analogous to the higher order Fibonacci numbers and closely associated with the Mersenne numbers.
Prasad, Kalika, Mohanta, Rabiranjan, Kumari, Munesh, Mahato, Hrishikesh   +3 more
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Robustness of genetic diversity measures under spatial sampling and a new frequency-independent measure. [PDF]

PeerJ, 2023
Aoki S, Ishihama F, Fukasawa K.
europepmc   +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

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

A Two-Layer IP Hopping-Based Moving Target Defense Approach to Enhancing the Security of Mobile Ad-Hoc Networks. [PDF]

Sensors (Basel), 2021
Wang P, Zhou M, Ding Z.
europepmc   +1 more source

THE FROBENIUS PROBLEM FOR MERSENNE NUMERICAL SEMIGROUPS

, 2017
In this paper, we give formulas for the embedding dimension, the Frobenius number, the type and the genus for a numerical semigroups generated by the Mersenne numbers greater than or equal to a given Mersenne ...
Rosales, J. C., Torrão, D., Branco, M. B.   +2 more
core   +1 more source