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Noise-Tolerant Force Calculations in Density Functional Theory: A Surface Integral Approach for Wavelet-Based Methods. [PDF]

J Phys Chem A
Gubler M, Finkler JA, Jensen SR, Goedecker S, Frediani L.   +4 more
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Ectotherm Size- and Age-At-Maturity in a Warmer, Variable and Resource-Poor World. [PDF]

Ecol Lett
Frizot N, Bec A, Koussoroplis AM.
europepmc   +1 more source

Changes in hemispheric dominance following targeted muscle reinnervation: a case study. [PDF]

Front Hum Neurosci
Mootaz AboElnour T, Fraser Wilsey K, Yang K, Borrell JA, Zuniga J.   +4 more
europepmc   +1 more source

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Jensen’s functional equation on semigroups

Acta Mathematica Hungarica, 2023
The author considers the functional equation \[f(x\varphi(y))+f(\psi(y)x)=2f(x), \quad x,y\in S,\tag{1}\] with \(s\colon S\to H\), \(S\) a semigroup, \(H\) a 2-torsion free abelian group and \(\varphi,\psi\colon S\to S\) endomorphisms.\par It is shown that under the assumption that \(\varphi\) or \(\psi\) is surjective the solutions of (1) are of the ...
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Jensen's functional equation on groups, III

Aequationes Mathematicae, 1999
[For part I see ibid. 39, No.1, 85-99 (1990; Zbl 0688.39007); see also \textit{J. C. Parnami} and \textit{H. L. Vasudeva}, ibid. 43, No. 2/3, 211-218 (1992; Zbl 0755.39008).] Let \((G,\cdot)\) be a group and \((H,+)\) an abelian group, and \(f:G\to H\) a mapping. Let \(e\) denote the identity of \(G\) and \(0\) that of \(H\).
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On Jensen’s functional equation on groups

Aequationes mathematicae, 2003
The classical Jensen's functional equation is known as [see \textit{J. Aczél}, Lectures on functional equatons and their applications (Academic Press, London) (1966; Zbl 0139.09301)] \[ f\Biggl({x+y\over 2}\Biggr)= {f(x)+ f(y)\over 2} \] which with \(x= u+v\), \(y= u-v\) becomes \(f(u+ v)+ f(u- v)= 2f(u)\), transparent for generalization for a group ...
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Hyperstability of the Jensen functional equation

Acta Mathematica Hungarica, 2013
\textit{S.-M. Jung}, \textit{M. S. Moslehian} and \textit{P. K. Sahoo} [J. Math. Inequal. 4, No. 2, 191--206 (2010; Zbl 1219.39016)] investigated the conditional stability of the generalized Jensen functional equation \(f(ax+by)=af(x)+bf(y)\). Based on a fixed point method, the authors of the present paper consider the hyperstability problem of the ...
Bahyrycz, A., Piszczek, M.
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A Pexider–Jensen functional equation on groups

Aequationes mathematicae, 2005
Let \((G,\cdot)\) be a group, \((H,+)\) an abelian group, and \(f,g,h:G\to H.\) The Pexider-Jensen functional equation \[ f(x.y)+g(x.y^{-1})=h(x) \] is studied. The author obtains the solution of this equation on free groups and outlines a process to find the solution on other groups. Some results on Jensen's equation are extended. The results obtained
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