Development of analytical solution for a generalized Ambartsumian equation
Sur la base de la dérivée conformable, un modèle généralisé de l'équation ambartsumienne est analysé dans cet article. La solution est exprimée comme une série de puissances de puissances arbitraires. De plus, la convergence de la solution série obtenue est théoriquement prouvée.
Ebrahem A. Algehyne +3 more
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A comparison between Monte Carlo method and the numerical solution of the Ambartsumian-Chandrasekhar equations to unravel the dielectric response of metals [PDF]
In this work we describe two different models for interpreting and predicting Reflection Electron Energy Loss (REEL) spectra and we present results of a study on metallic systems comparing the computational cost and the accuracy of these techniques. These approaches are the Monte Carlo (MC) method and the Numerical Solution (NS) of the Ambartsumian ...
Azzolini M. +6 more
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A Method of Finding Source Function for Inverse Diffusion Problem with Time‐Fractional Derivative
The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time‐fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable
Vildan Gülkaç, Ricardo Weder
wiley +1 more source
Modified Theories of Gravitation behind the Spacetime Deformation
In the framework of proposed theory of spacetime deformation/distortion, we have a way to deform the spacetime through a nontrivial choice of the distortion‐complex, displaying different connections, which may reveal different post‐Riemannian spacetime structures as corollary. We extend this theory to address, in particular, the gauge model of the most
Gagik Ter-Kazarian, Bennie F. L. Ward
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Growth of Accreting Supermassive Black Hole Seeds and Neutrino Radiation
In the framework of microscopic theory of black hole (MTBH), which explores the most important processes of rearrangement of vacuum state and spontaneous breaking of gravitation gauge symmetry at huge energies, we have undertaken a large series of numerical simulations with the goal to trace an evolution of the mass assembly history of 377 plausible ...
Gagik Ter-Kazarian, Gary Wegner
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A Brief Observational History of the Black‐Hole Spacetimes
In this year (2015), black holes (BHs) celebrate their 100th birthday, if their birth is taken to be triggered by a handwritten letter from Martin Schwarzschild to Albert Einstein, in connection with his newly found spherically symmetric vacuum solution.
Wolfgang Kundt, Seyed H. Hendi
wiley +1 more source
Screening and identification of small molecule inhibitors of ErbB2‐induced invasion
ERBB2 amplification and overexpression are strongly associated with invasive cancer with high recurrence and poor prognosis. Enhanced ErbB2 signaling induces cysteine cathepsin B and L expression leading to their higher proteolytic activity (zFRase activity), which is crucial for the invasion of ErbB2‐positive breast cancer cells in vitro.
D.M. Brix +6 more
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Invariant Imbedding and the Radiation Transfer in a Plane‐Parallel Inhomogeneous Atmosphere
The invariant imbedding technique is applied to the problems of radiation transfer in a plane‐parallel inhomogeneous atmosphere. All the parameters which describe the elementary event of scattering and the distribution of the energy sources are allowed to vary with depth.
Arthur G. Nikoghossian +3 more
wiley +1 more source
A new approach to solving of the Ambartsumian’s functional equation is presented. Its application is illustrated on the two classical cases: a) in the case of a plane-parallel semi-infinite medium with monochromatic anisotropic scattering and b) the simple one-dimensional problem of diffuse reflection of radiation from the scattering-absorbing semi ...
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Bi‐Directional Spectro‐Polarimetry of Olivine Sand
Abstract We characterized the bi‐directional spectro‐polarimetry of olivine sands of varying grain size distributions for a comprehensive set of measurement and illumination angles over a wavelength range of 350–2,500 nm. Our laboratory instrumentation included a hyperspectral goniometer, a broadband linear polarizer, and a tungsten‐halogen ...
Chris H. Lee +3 more
wiley +1 more source

