Results 111 to 120 of about 1,108 (208)
, 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
Computer Experiments with Mersenne Primes
, 2013 We have calculated on the computer the sum BM of reciprocals of first 47 known Mersenne primes with the accuracy of over 12000000 decimal digits. Next we developed BM into the continued fraction and calculated geometricalmeans of the partial denominators
Wolf Marek
core
The other side of Mersenne Primes [PDF]
Mersenne numbers, (2^n)-1, with natural number n, are like pay dirt, containing dirt and apparent gold. They entice us to ask: which of these numbers are prime, which are not, and if not, why not - especially the shiny ones? We address the "why not?" of
Klintberg, Amy
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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
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
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. +2 more
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TechnologiesIt 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 +4 more
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Prospects for the Use of Quasi-Mersen Numbers in the Design of Parallel-Serial Processors
Applied SciencesIt 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 +3 more
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Modular number systems: Beyond the Mersenne family
, 2004 . In SAC 2003, J. Chung and A. Hasan introduced a new class of specific moduli for cryptography, called the more generalized Mersenne numbers, in reference to J. Solinas ’ generalized Mersenne numbers pro-posed in 1999. This paper pursues the quest.
Imbert, Laurent +5 more
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, 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 +2 more
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