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Approximate tri-quadratic functional equations via Lipschitz conditions [PDF]
Mathematica Bohemica, 2017 In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic ...
Ismail Nikoufar
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Quadratic replica coupling in the Sherrington-Kirkpatrick mean field spin glass model [PDF]
, 2002 We develop a simple method to study the high temperature, or high external field, behavior of the Sherrington-Kirkpatrick mean field spin glass model. The basic idea is to couple two different replicas with a quadratic term, trying to push out the two ...
Guerra, Francesco, Toninelli, Fabio L.
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On the Mean 3-Rank of Quadratic Fields [PDF]
Compositio Mathematica, 1999 The Cohen–Lenstra–Martinet heuristics give precise predictions about the class groups of a ’random‘ number field. The 3-rank of quadratic fields is one of the few instances where these have been proven. We prove that, in this case, the rate of convergence is at least sub-exponential.
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Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean
Journal of Inequalities and Applications, 2019 In the article, we prove that λ1=1/2+[(2+log(1+2))/2]1/ν−1/2 $\lambda _{1}=1/2+\sqrt{ [ (\sqrt{2}+ \log (1+\sqrt{2}) )/2 ]^{1/\nu }-1}/2$, μ1=1/2+6ν/(12ν) $\mu _{1}=1/2+\sqrt{6 \nu }/(12\nu )$, λ2=1/2+[(π+2)/4]1/ν−1/2 $\lambda _{2}=1/2+\sqrt{ [(\pi +2)/4
Wei-Mao Qian +3 more
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Sharp bounds for Neuman means in terms of geometric, arithmetic and quadratic means [PDF]
Journal of Mathematical Inequalities, 2016 11 ...
Guo, Zhi-Jun +3 more
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Mean squares of quadratic twists of the Möbius function
Journal of Number Theory, 2023 8 ...
Peng Gao, Liangyi Zhao
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Charitable Hospitals’ Liability for Negligence: Abrogation of the Medical-Administrative Distinction [PDF]
, 1958 A characterization of the distribution of the multivariate quadratic form given by XAX′, where X is a p×n normally distributed matrix and A is an n×n symmetric real matrix, is presented.
Koski, Timo, Ohlson, Martin
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Spin-density-wave transition of (TMTSF)$_2$PF$_6$ at high magnetic fields [PDF]
, 2001 The transverse magnetoresistance of the Bechgaard salt (TMTSF)$_2$PF$_6$ has been measured for various pressures, with the field up to 24 T parallel to the lowest conductivity direction c$^{\ast}$.
A. Bjeliš +21 more
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Quadratic refinements of matrix means [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2017 The main target of this article is to present refinements of the matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms. These refinements include the L\"{o}ewner partial ordering, determinants, trace and unitarily invariant norms ...
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Electronic Journal of Qualitative Theory of Differential Equations, 2008 The paper studies the notion of Stepanov almost periodicity (or $S^2$-almost periodicity) for stochastic processes, which is weaker than the notion of quadratic-mean almost periodicity.
P. Bezandry, Toka Diagana
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