Results 21 to 30 of about 577,125 (180)
Applied Sciences, 2022 This paper is devoted to the development of generalized (for a wide range of fields (100 kV/m–1000 MV/m) and temperatures (0–1500 K) in the radio frequency range (1 kHz–500 MHz)) methods for the theoretical investigation of the physical mechanism of ...
Valeriy Kalytka +9 more
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Real Analysis in Functional Equations
, 2023 In this article, we will showcase some analytical concepts that can be used to tackle Functional Equations (FE) in the positive real numbers domain. Such concepts and related techniques have occasionally appeared in recent High School Math Olympiads, and they are often accompanied neatly by other known techniques.
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A real-space Green’s function method for the numerical solution of Maxwell’s equations [PDF]
Communications in Applied Mathematics and Computational Science, 2016 Author(s): Lo, B; Minden, V; Colella, P | Abstract: A new method for solving the transverse part of the free-space Maxwell equations in three dimensions is presented. By taking the Helmholtz decomposition of the electric field and current sources and considering only the divergence-free parts, we obtain an explicit real-space representation for the ...
Lo, Boris +2 more
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Sensors, 2023 Despite the progress in driving automation, the market introduction of higher-level automation has not yet been achieved. One of the main reasons for this is the effort in safety validation to prove functional safety to the customer.
Zoltan Ferenc Magosi, Arno Eichberger
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Infinite systems of linear equations for real analytic functions [PDF]
Proceedings of the American Mathematical Society, 2004 We study the problem when an infinite system of linear functional equations \[ μ
Domanski, P., Vogt, D.
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On a Certain Generalized Functional Equation for Set-Valued Functions
Mathematics, 2020 The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc(Y ...
Yaroslav Bazaykin +3 more
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PPP–RTK functional models formulated with undifferenced and uncombined GNSS observations
Satellite Navigation, 2022 Technique PPP–RTK combines the advantages of both the Precise Point Positioning (PPP) and the Real-Time Kinematic (RTK) positioning. With the emergence of multi-frequency Global Navigation Satellite System (GNSS) observations, it is preferable to ...
Baocheng Zhang +3 more
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Correcting Newton--C\^{o}tes integrals by L\'{e}vy areas [PDF]
, 2006 In this note we introduce the notion of Newton--C\^{o}tes functionals corrected by L\'{e}vy areas, which enables us to consider integrals of the type $\int f(y) \mathrm{d}x,$ where $f$ is a ${\mathscr{C}}^{2m}$ function and $x,y$ are real H\"{o}lderian ...
Nourdin, Ivan, Simon, Thomas
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Guardians Ad Litem as Surrogate Parents: Implication for Role Definition and Confidentiality [PDF]
, 1996 SALMON (Scalable Ab-initio Light–Mattersimulator for Optics and Nanoscience, http://salmon-tddft.jp) is a software package for the simulation of electron dynamics and optical properties of molecules, nanostructures, and crystalline solids based on first ...
Bertsch, G. +17 more
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A UNIVERSAL CAUCHY FUNCTIONAL EQUATION OVER THE POSITIVE REALS II
AIP Conference Proceedings, 2010 The authors study the so-called \textit{universal Cauchy functional equation} \[ af(xy)+bf(x)f(y)+cf(x+y)+d(f(x)+f(y))=0, \] where \(f\) is the unknown function mapping from the positive real numbers to complex numbers, and \(a,b,c,d\) are constants. This equation was studied by Dhombres before, but the domain of \(f\) contains zero.
Laohakosol, Vichian +1 more
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