Results 21 to 30 of about 398,588 (120)
Characterization of a Finite Nonabelian Simple Group by Its Order and Vanishing Prime Graph
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Let G be a finite group. A vanishing element of G is an element g ∈ G such that χ(g) = 0 for some irreducible complex character χ of G. Denote by Vo(G) the set of orders of vanishing elements of G. The vanishing prime graph Γ(G) of G is defined as follows. The vertex set of Γ(G) is the set {p|p is a prime divisor of some element of Vo(G)}. Two distinct
Yongcai Ren, Shikha Binwal
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Evaluating Mersenne Primes Using a Single Quadrant Expanding Square [PDF]
, 2012 By forming a table of sequential odd numbers using a single quadrant expanding square pattern it was observed that multiple Mersenne primes fall into the first column. We prove that the Mersenne primes which fall into the first column will be of the form
Sprague, Douglas +5 more
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International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.Federated learning (FL) is a privacy‐preserving method for short‐term load forecasting in energy networks. However, current defense mechanisms against adversarial attacks often depend on supplementary machine learning frameworks, such as anomaly detection models or Byzantine‐robust aggregators.
Habib Ullah Manzoor +5 more
wiley +1 more source
Mersenne version of Brocard-Ramanujan equation
, 2023 In this study, we deal with a special form of the Brocard-Ramanujan equation, which is one of the interesting and still open problems of Diophantine analysis.
Ibrahımov, Seyran +3 more
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Finiteness and Explicit Solutions of 2x + pnqy = z2 for Certain Odd Primes
Journal of Mathematics, Volume 2026, Issue 1, 2026.We investigate all nonnegative integer solutions (x, y, z) of the exponential Diophantine equation 2x + pnqy = z2, where p and q are fixed odd primes, and n is a fixed positive integer. Using 2‐adic valuation techniques and known results on exponential equations, we classify all solutions explicitly under some conditions on p, q, and n.
Saeree Wananiyakul +5 more
wiley +1 more source
Effect of Displacement‐Dependent Stiffness Devices on Seismic Performance of Isolated Bridges
Structural Control and Health Monitoring, Volume 2026, Issue 1, 2026.Seismic isolation systems have been employed in bridges to increase their lateral flexibility and thereby improve their performance by reflecting seismic energy away from the structure. In recent years, stiffness devices that could passively generate both positive and negative tangential stiffness that varies with displacement were introduced within ...
Christos D. Varsamis +3 more
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Journal of Applied Crystallography, Volume 58, Issue 6, Page 2078-2089, December 2025.We experimentally demonstrate that the scattering‐induced decrease in light intensity experienced by a crystal embedded in a high‐viscosity jet is very limited in materials such as lipidic cubic phase or hydroxyethyl cellulose, and therefore cannot justify the use of pump energies exceeding the linear excitation regime under realistic experimental ...
Stanisław Niziński +5 more
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Engineering Reports, Volume 7, Issue 10, October 2025.StorjLedger leverages erasure‐coded sharding and Proof‐of‐Storage to deliver nearly 1000 transactions per second with sub‐second latency, 98% data redundancy, and 76% lower storage costs, resolving the blockchain trilemma by harmonizing scalability, security, and decentralization.
Saha Reno, Koushik Roy
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Groups with triangle‐free graphs on p$p$‐regular classes
Mathematische Nachrichten, Volume 298, Issue 6, Page 1796-1807, June 2025.Abstract Let p$p$ be a prime. In this paper, we classify the p$p$‐structure of those finite p$p$‐separable groups such that, given any three non‐central conjugacy classes of p$p$‐regular elements, two of them necessarily have coprime lengths.
M. J. Felipe +2 more
wiley +1 more source
Marin Mersenne, moine mathématicien et philosophe [PDF]
, 2017 Où l’on connaît Mersenne comme mascotte des fanatiques d’informatique traqueurs de nombres premiers (site Great Internet Mersenne Prime Search), et où l’on découvre le moine minime assez virulent prédicateur contre-réformiste quelques années avant ses ...
Taussig, Sylvie
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