Results 51 to 60 of about 1,429,804 (373)
Quantum Derivation of the Bloch Equations Excluding Relaxation
Concepts in Magnetic Resonance: Part A, Bridging Education and Research, 2022 The equation of motion of the density matrix of an ensemble of identical spin-1/2 nuclei subject to a rotating-frame radiofrequency field and Zeeman frequency offset is derived from the Schrodinger equation and shown to be equivalent to the magnetization
Eric R. Johnston
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Finding of roots of the matrix transcendental characteristic equation using Lambert W function
Lietuvos Matematikos Rinkinys, 2011 The method of finding roots of the matrix transcendental characteristic equation, corresponding to linear matrix differential equation with delayed argument, is analyzed. The examples of the application of the method are presented.
Irma Ivanovienė, Jonas Rimas
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Advances in Mathematical Physics, 2016 An operational matrix technique is proposed to solve variable order fractional differential-integral equation based on the second kind of Chebyshev polynomials in this paper. The differential operational matrix and integral operational matrix are derived
Jianping Liu, Xia Li, Limeng Wu
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Matrix generalizations of integrable systems with Lax integro-differential representations
Karpatsʹkì Matematičnì Publìkacìï, 2013 We found matrix integro-differential Lax representations for Davey-Stewartson systems (DSI, DS-II, DS-III), (2+1)-dimensional generalizations of Chen-Lee-Liu equation and its higher symmetries.
Yu. M. Sydorenko, O. I. Chvartatskyi
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H2/H∞ output information-based disturbance attenuation for differential linear repetitive processes
, 2011 Repetitive processes propagate information in two independent directions where the duration of one is finite. They pose control problems that cannot be solved by application of results for other classes of 2D systems.
Barton +12 more
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Journal of Taibah University for Science, 2017 In this paper, we suggest a matrix method for obtaining the approximate solutions of the delay linear Fredholm integro-differential equations with constant coefficients using the shifted Legendre polynomials.
Şuayip Yüzbaşı
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Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
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, 2018 The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations. The derivatives of the $R$ matrix elements, however, can
Vieira, R. S.
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On linear matrix differential equations
Advances in Applied Mathematics, 2007 AbstractWe use elementary methods and operator identities to solve linear matrix differential equations and we obtain explicit formulas for the exponential of a matrix. We also give explicit constructions of solutions of scalar homogeneous equations with certain initial values, called dynamic solutions, that play an important role in the solution of ...
openaire +1 more source
occumb: An R package for site occupancy modeling of eDNA metabarcoding data
Population Ecology, EarlyView.This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
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