Results 51 to 60 of about 377,673 (186)
On the ratio of the sum of divisors and Euler’s totient function II [PDF]
, 2014 We find the form of all solutions to ø(n) | σ(n) with three or fewer prime factors, except when the quotient is 4 and n is ...
Qizhi Zhou +3 more
core
Communications in Advanced Mathematical SciencesThis paper introduces an axiomatic approach in the theory of energy dissipation in Hilbert envelopes on motion waveforms emanating from various vibrating dynamical systems. A Hilbert envelope is a curve tangent to peak points on a motion waveform.
Tharaka Liyanage, James F. Peters
doaj +1 more source
Computing character degrees via a Galois connection [PDF]
International Journal of Group Theory, 2015 In a previous paper, the second author established that, given finite fields ...
Mark L. Lewis , John K. McVey
doaj
AI Secure Watermarking Method Leveraging the Error‐Resistant Nature of Deep Learning Models
IET Image Processing, Volume 20, Issue 1, January/December 2026.ABSTRACT The widespread use of generated media based on generative AI models, raises the risks of copyright violation and ownership conflicts. It has also introduced challenges such as deepfake misuse and unauthorised distribution of digital content. Watermarking methodologies, including embedding and tracing, have emerged as solutions for protecting ...
Arushi Chatterjee +4 more
wiley +1 more source
, 1983 We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers M p {M_p}
Samuel S. Wagstaff
core +1 more source
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
ENCICLOPEDIA MATEMATICĂ A CLASELOR DE NUMERE ÎNTREGI [PDF]
, 2013 Numerele naturale au fascinat dintotdeauna omenirea, ce le-a considerat, pe bună dreptate, ca fiind mai mult decât mijloace de a studia cantităţile, le-a considerat entităţi având o personalitate proprie.
Coman, Marius
core +1 more source
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
wiley +1 more source
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
wiley +1 more source