Results 31 to 40 of about 58,526 (297)
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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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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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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Local Minimizers in micromagnetics and related problems [PDF]
, 2002 Let $\Omega \subset{\bf R}^3$ be a smooth bounded domain and consider the energy functional ${\mathcal J}_{\varepsilon} (m; \Omega) := \int_{\Omega} \left ( \frac{1}{2 \varepsilon} |Dm|^2 + \psi(m) + \frac{1}{2} |h-m|^2 \right) dx + \frac{1}{2} \int_ ...
J M Ball (16079657) +12 more
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Existence and convergence results for the Galerkin approximation of an electronic density functional [PDF]
, 2010 We formulate and analyze a model for the study of finite clusters of atoms or localized defects in infinite crystals based on orbital-free density functional theory.
CHRISTOPH ORTNER +8 more
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Multiple solutions of nonlinear elliptic functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We shall consider weak solutions of boundary value problems for elliptic functional differential equations of the form $$ -\sum_{j=1}^nD_j[a_j(x,u,Du;u)]+a_0(x,u,Du;u)=F,\qquad x\in \Omega $$ with homogeneous boundary conditions, where $\Omega \subset ...
László Simon
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Demonstratio Mathematica, 2014 This paper is devoted to the study of the following perturbed system of nonlinear functional equations x ∊Ω=[-b,b], i = 1,…., n; where ε is a small parameter, aijk; bijk are the given real constants, Rijk, Sijk , Xijk : Ω → Ω ,gi → Ω →ℝ , Ψ: Ω x ℝ2→ ℝ ...
Ngoc Le Thi Phuong +3 more
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Real time lattice correlation functions from differential equations
Journal of High Energy Physics, 2023 Abstract We report on an exact calculation of lattice correlation functions on a finite four-dimensional lattice with either Euclidean or Minkowskian signature. The lattice correlation functions are calculated by the method of differential equations. This method can be used for Euclidean and Minkowskian signature alike. The lattice
Gasparotto, Federico +2 more
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Equation $f(p(x)) = q(f(x))$ for given real functions $p$, $q$ [PDF]
, 2012 summary:We investigate functional equations $f(p(x)) = q(f(x))$ where $p$ and $q$ are given real functions defined on the set ${\Bbb R}$ of all real numbers.
Kopeček, Oldřich
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Synthetic neuronal datasets for benchmarking directed functional connectivity metrics [PDF]
PeerJ, 2015 Background. Datasets consisting of synthetic neural data generated with quantifiable and controlled parameters are a valuable asset in the process of testing and validating directed functional connectivity metrics.
João Rodrigues, Alexandre Andrade
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