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Differential Method for the Formation of Relative Phase Shifts between Light Beams in a Two-Arm Interferometer
This article discusses the possibility of improving technical means that enable the introduction of phase shifts into light beams in the...
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Rotation control of an HR neuron with a locally active memristor
When a locally active memristor is applied to the Hindmarsh–Rose neuron, complex neuromorphological dynamics can be observed. Local active memristor...
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Reconstruction of Carrington Rotation Means of Open Solar Flux over the Past 154 Years
We generate reconstructions of signed open solar flux (OSF) for the past 154 years using observations of geomagnetic activity. Previous...
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Differential Forms and Their Integrals
We first introduce “forms” on an n-dimensional vector space V, and then discuss “differential forms” on an n-dimensional manifold M.
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Observation of Differential Rotation Within a Sunspot Umbra During an X-Class Flare
Sunspots and their dynamics dominate the magnetic topology and evolution of both the photosphere and the overlying coronal active regions. Thus a...
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Effects of rotation and Coulomb-type potential on the spin-1/2 Aharonov–Bohm problem
In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-1/2 particle in the...
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The Ricci Rotation Coefficients in the Description of Trajectories of Spinning Test Particles Off-equatorial Plane in the Gravitational Field of a Rotating Source
We describe the trajectories of circular orbits of spinless and spinning test particles around a rotating body in equatorial and non-equatorial...
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Iterative phase retrieval with compound amplitude constraint based on cylindrical lens rotation
For the problem of slow convergence of single amplitude constrained iteration in the traditional multi-plane iterative method and phase ambiguity due...
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Differential Calculus
As a preliminary example, consider the fraction 1/n.
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The internal rotation of the Sun and its link to the solar Li and He surface abundances
The Sun serves as a natural reference for the modelling of the various physical processes at work in stellar interiors. Helioseismology results,...
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Gravitational potential and galaxy rotation curves in multi-fractional spacetimes
Multi-fractional theories with integer-order derivatives are models of gravitational and matter fields living in spacetimes with variable Hausdorff...
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INITIATION OF ROTATION IN FLUID NEAR A FREE BOUNDARY
AbstractA system of Navier–Stokes equations is used to calculate rotational modes of thermocapillary fluid flows in a semi-infinite space bounded...
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On a procedure to derive ϵ-factorised differential equations beyond polylogarithms
In this manuscript, we elaborate on a procedure to derive ϵ -factorised differential equations for multi-scale, multi-loop classes of Feynman...
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Real time lattice correlation functions from differential equations
We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian...
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Causal Analysis of Influence of the Solar Cycle and Latitudinal Solar-Wind Structure on Co-Rotation Forecasts
Studying solar-wind conditions is central to forecasting the impact of space weather on Earth. Under the assumption that the structure of this wind...
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Tidal Effects and Rotation of Extended Bodies
These lecture notes provide basic tools to study the rotation of extended bodies which are either rigid or deformable by tides. The problem is...
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Rotation of the Apsidal Line in the Eclipsing System V1059 Cep
AbstractThree light curves of the V1059 Cep eclipsing binary obtained in 2012, 2013, and 2021 were analyzed. We found the rapid apsidal motion in...
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Improvement of rotation rate sensitivity in a double moving mirrors cavity of a quantum optomechanical gyroscope
In this article, we have presented a design of a quantum optomechanical gyroscope, consisting of a Michelson interferometer on a rotating table. An...
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Methods for a Partial Differential Equation Discovery: Application to Physical and Engineering Problems
AbstractThe paper presents two methods for discovering differential equations from available data. The first method uses a genetic algorithm with...
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Quantum mechanical rotation of a photon polarization by Earth’s gravitational field
We describe the quantum mechanical rotation of a photon state, the Wigner rotation—a quantum effect that couples a transformation of a reference...
