Results 41 to 50 of about 3,206 (154)
Linnik-type problems for automorphic L-functions
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ABSTRACT Aim To describe and compare attitudes toward hand hygiene and the perceived effectiveness of prevention methods among nursing students and registered nurses at a university and its affiliated university hospital. Design A descriptive cross‐sectional comparative survey.
Per‐Ola Blomgren +3 more
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Coherence properties and wavelength of light sources are indispensable for optical coherence microscopy/tomography as they greatly influence the signal to noise ratio, axial resolution, and penetration depth of the system.
Ahmad, Azeem +5 more
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Goldbach-Linnik type problems involving one prime, four prime cubes and powers of 2
In this paper, we prove that every pair of sufficiently large odd integers can be represented in the form of a pair of one prime, four prime cubes and $48$ powers of $2$.
Han, Xue, Liu, Huafeng
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A data‐driven simplified Nernst equation enables rapid estimation of reduction potentials in groundwater using only pH and temperature. This approach reduces computational complexity while preserving accuracy, supporting scalable redox assessments across aquifers and enhancing biogeochemical modeling in data‐limited or large‐scale hydrogeological ...
Gordon Bowman +3 more
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AN INTRODUCTION TO THE LINNIK PROBLEMS [PDF]
This paper is a slightly enlarged version of a series of lectures on the Linnik problems given at the SMS-NATO ASI 2005 Summer School on Equidistribution in Number Theory.
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This work presents a systematic review of atmospheric turbulence fundamentals, including theoretical formulations and adaptive optics‐based mitigation strategies. This includes an in‐depth examination of the devices, theories, and methodologies associated with traditional correction approaches.
Qinghui Liu +5 more
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On Convergence to Equilibrium Distribution, I. The Klein - Gordon Equation with Mixing
Consider the Klein-Gordon equation (KGE) in $\R^n$, $n\ge 2$, with constant or variable coefficients. We study the distribution $\mu_t$ of the random solution at time $t\in\R$.
Dudnikova, T. V. +3 more
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Smallest totient in a residue class
Abstract We obtain a totient analogue for Linnik's theorem in arithmetic progressions. Specifically, for any coprime pair of positive integers (m,a)$(m,a)$ such that m$m$ is odd, there exists n⩽m2+o(1)$n\leqslant m^{2+o(1)}$ such that φ(n)≡a(modm)$\varphi (n)\equiv a\ (\mathrm{mod}\ m)$.
Abhishek Jha
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Most probable transition path in an overdamped system for a finite transition time
The most probable transition path in a one-dimensional overdamped system is rigorously proved to possess less than two turning points.
Dykman +19 more
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