Results 21 to 30 of about 9,626 (197)
Boolean Hypercubes, Mersenne Numbers, and the Collatz Conjecture
Journal of Mathematical Sciences and Modelling, 2020 This study is based on the trivial transcription of the vertices of a Boolean \textit{N}-Dimensional Hypercube $\textbf{H}_{N} $ into a subset $\mathbb{S}_{N}$ of the decimal natural numbers $\mathbb{N}.$ Such straightforward mathematical manipulation ...
Ramon Carbó Dorca
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مجلة بغداد للعلوم, 2023 In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test.
Yahia Awad, Ramiz Hindi, Haissam Chehade
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Query-Efficient Locally Decodable Codes of Subexponential Length [PDF]
, 2010 We develop the algebraic theory behind the constructions of Yekhanin (2008) and Efremenko (2009), in an attempt to understand the ``algebraic niceness'' phenomenon in $\mathbb{Z}_m$.
Chee, Yeow Meng +4 more
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Computer Assisted Surgery, 2019 Purpose: Encryption of patient information has become an important issue in medical ultrasound instrumentation to secure information when images are accessed off-site.
Seung-Hyeok Shin +2 more
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Pseudorandom Number Generators and the Square Site Percolation Threshold [PDF]
, 2008 A select collection of pseudorandom number generators is applied to a Monte Carlo study of the two dimensional square site percolation model. A generator suitable for high precision calculations is identified from an application specific test of ...
B. Bollobás +10 more
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Cryptography using Fibonacci-Mersenne and Fibonacci-balancing p-sequences with a self-invertible matrix and the Affine-Hill cipher [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we define two new sequences using the Fibonacci p-numbers, the generalized Mersenne numbers, and m-balancing numbers. These sequences are obtained from the corresponding characteristic polynomials.
Elahe Mehraban +3 more
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Boolean Hypercubes: The Origin of a Tagged Recursive Logic and the Limits of Artificial Intelligence
Universal Journal of Mathematics and Applications, 2021 Boolean and logical hypercubes are discussed as providers of tags to logical object sets, transforming them into logical tagged sets, a generalization of fuzzy sets.
Ramon Carbó-dorca
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Mersenne-Horadam identities using generating functions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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Universal Journal of Mathematics and ApplicationsIn this work, we investigate the binomial transforms and Catalan transform of the $k$-Mersenne and $k$-Mersenne-Lucas numbers and examine the new integer sequences.
Kalika Prasad +3 more
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Bipartite Graphs Associated with Pell, Mersenne and Perrin Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers.
Öteleş Ahmet
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