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A novel quantum algorithm for efficient attractor search in gene regulatory networks. [PDF]
Rossini M +3 more
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Adaptive intelligent controller for a lower limb rehabilitation robot using QAOA-based online membership optimization. [PDF]
Abd-Elhaleem S +2 more
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On the differentiability of the superposition operator in hölder and Sobolev spaces
A differentiability condition (which is both necessary and sufficient) is given for the superposition operator \(Fu(x)=f(x,u(x))\) between two Hölder spaces. This condition builds on a two-sided estimate for the growth function \(\mu_ F(r)=\sup \{\| Fu\|:\| u\| \leq r\}\) for F on balls of radius r.
Appell, Jürgen
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Spectral of the nonlinear weighted superposition operator on Fock spaces [PDF]
We follow several approaches in nonlinear spectral theory and determine the various spectral forms for the nonlinear weighted superposition operator on Fock spaces. The results show that most of the forms introduced so far coincide and contain singeltons.
Tesfa Mengestie, Mengestie Tesfa
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The nonlinear superposition operator on harmonic fock spaces [PDF]
We describe the conditions under which the superposition operator maps one harmonic Fock space into another. We further proved that all superposition operators on the spaces are both bounded and globally Lipschitz continuous.
Tesfa Mengestie
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Operator superpositions in the spaces ℓp
Siberian Mathematical Journal, 1987The superposition operator \(Fx(s)=f(s,x(s))\) is the most important operator in nonlinear analysis. There is a vast literature on the theory and applications of this operator in various function spaces; the first systematic study in the Lebesgue function spaces \(L_ p\), for instance, is contained in the book of \textit{M. A.
Dedagich, F., Zabrejko, P. P.
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Nonlinear Superposition Operators
1990This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory diverges from classical nonlinear analysis.
Jürgen Appell, Petr P. Zabrejko
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Superposition Operators on Bloch-Type Spaces
Computational Methods and Function Theory, 2007The article deals with the superposition operator \(S_\varphi(f)(z) = \varphi(f(z))\) between the Bloch-type spaces \({\mathcal B}^\alpha\), \(0 < \alpha < \infty\), of all analytic functions \(f(z)\) on the unit disk satisfying \[ \| f\| _{{\mathcal B}^\alpha} = | f(0)| + \sup_{| z| < 1}(1 - | z| ^2)^\alpha \, | f'(z)| < \infty \] (\({\mathcal B ...
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Precomplete Classes of Automata with the Superposition Operation
Moscow University Mathematics Bulletin, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Superposition of Substitution Operators
1967The present section forms a bridge leading to the second part of our material — integral operators. There is no implication that integral operators in general (or even Integral operators of any particular type) have to be introduced as superposition of substitution operators.
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