Results 21 to 30 of about 2,340,716 (311)
Scientific Reports, 2023 Multipole expansion is a powerful technique used in many-body physics to solve dynamical problems involving correlated interactions between constituent particles.
E. O. Jobunga +2 more
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s).
Hüseyin Irmak
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Double series expansions for $ \pi $
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The contact process in heterogeneous and weakly-disordered systems [PDF]
, 2006 The critical behavior of the contact process (CP) in heterogeneous periodic and weakly-disordered environments is investigated using the supercritical series expansion and Monte Carlo (MC) simulations. Phase-separation lines and critical exponents $\beta$
C. J. Neugebauer +5 more
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A Generalized Series Expansion of the Arctangent Function Based on the Enhanced Midpoint Integration
AppliedMath, 2023 In this work, we derive a generalized series expansion of the acrtangent function by using the enhanced midpoint integration (EMI). Algorithmic implementation of the generalized series expansion utilizes a two-step iteration without surd or complex ...
Sanjar M. Abrarov +3 more
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Short-time fluctuations of displacements and work [PDF]
, 2006 A recent theorem giving the initial behavior of very short-time fluctuations of particle displacements in classical many-body systems is discussed. It has applications to equilibrium and non-equilibrium systems, one of which is a series expansion of the ...
Cohen +13 more
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Expansion of multiple series in infinite diagonals
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In this paper a method of summation of double absolutely convergent numerical series was obtained. This method was named the expansion of double numerical series in infinite diagonals.
Anton A Korneev, Olga A Doroshkevich
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An approach for one dimensional periodic arbitrary lithography based on Fourier series
Engineering Science and Technology, an International Journal, 2021 In interference lithography, 1-dimensional (1D) Fourier series expansion (FSE) technique can be used to create 1D periodic arbitrary patterns. Since the energy of electric field can change the solubility of photoresist, the required electric field ...
Mahdi Kordi +3 more
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SIGMOIDAL-TYPE SERIES EXPANSION [PDF]
The ANZIAM Journal, 2008 Abstract In this paper we introduce a set of orthonormal functions, $\{\phi _n^{[r]}\}_{n=1}^{\infty }$ , where ϕ n [r] is composed of a sine function and a sigmoidal transformation γ r of order r>0. Based on the proposed functions ϕ n [r] named by sigmoidal sine functions, we consider a series ...
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Series expansion for a stochastic sandpile
, 2003 Using operator algebra, we extend the series for the activity density in a one-dimensional stochastic sandpile with fixed particle density p, the first terms of which were obtained via perturbation theory [R. Dickman and R. Vidigal, J. Phys.
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