Matrix method for solving linear complex vector functional equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We give a new matrix method for solving both homogeneous and nonhomogeneous linear complex vector functional equations with constant complex coefficients.
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Linear Sigma model in the Gaussian wave functional approximation II: Analyticity of the S-matrix and the effective potential/action [PDF]
, 2002 We show an explicit connection between the solution to the equations of motion in the Gaussian functional approximation and the minimum of the (Gaussian) effective potential/action of the linear $\Sigma$ model, as well as with the N/D method in ...
Amelino-Camelia +26 more
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High-accuracy phase-field models for brittle fracture based on a new family of degradation functions [PDF]
, 2017 Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks.
Berre, Inga +3 more
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Bounds for the functional spectrum of operators in a Hilbert space [PDF]
Mathematica MoravicaLet H1 and H2 be Hilbert spaces with the unit operators I1 and I2, respectively, and Ajk be bounded operators acting from Hj into Hk (j, k = 1, 2). We consider the block operator matrices A = (Ajk) and F(z) = diag (Kˆj (z)Ij ), where Kˆ1(z) and Kˆ2(z ...
Gil' Michael
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Wigner distribution functions for complex dynamical systems: The emergence of the Wigner-Boltzmann equation [PDF]
Physical Review E, 2013 The equation of motion for the reduced Wigner function of a system coupled to an external quantum system is presented for the specific case when the external quantum system can be modeled as a set of harmonic oscillators. The result is derived from the Wigner function formulation of the Feynman-Vernon influence functional theory.
Sels, Dries, Brosens, Fons
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Solving simple quaternionic differential equations [PDF]
, 2003 The renewed interest in investigating quaternionic quantum mechanics, in particular tunneling effects, and the recent results on quaternionic differential operators motivate the study of resolution methods for quaternionic differential equations. In this
Aslaksen H. +10 more
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Estimation of Suspended Sediment Load Using Integrated Intelligent Methods with Considering Model Uncertainty [PDF]
مجله آب و خاک, 2021 Introduction: Sediment transportation and accurate estimation of its rate is a significant issue for river engineers and researchers. So far, various and complex relationships have been proposed to predict the amount of suspended sediment transport rate,
S.M. Saghebian
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Vibration Antiresonance Design for a Spacecraft Multifunctional Structure
Shock and Vibration, 2017 Spacecraft must withstand rigorous mechanical environment experiences such as acceleration, noise, vibration, and shock during the process of launching, satellite-vehicle separation, and so on.
Dong-Xu Li, Wang Liu, Dong Hao
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Equating Visual Function Scales to Facilitate Reporting of Medicare Functional G-Code Severity/Complexity Modifiers for Low-Vision Patients [PDF]
Archives of Physical Medicine and Rehabilitation, 2015 To present a method of estimating and equating scales across functional assessment instruments that appropriately represents changes in a patient's functional ability and can be meaningfully mapped to changes in Medicare G-code severity modifiers.Previously published measures of patients' overall visual ability, estimated from low-vision patient ...
Tiffany L, Chan +5 more
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Frontiers in Microbiology, 2022 The Black Queen hypothesis describes the evolutionary strategy to lose costly functions in favour of improving growth efficiency. This results in mutants (cheaters) becoming obligately dependent upon a provider (black queen) to produce a necessary ...
Damien Robert Finn +3 more
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