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This paper was withdrawn by arXiv admin because it plagiarizes "Jiahong Wu The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation 2005 Nonlinearity 18 139-154."

Analysis of PDEs · Mathematics 2007-05-23 S. Gala , A. Lahmar-Benbernou

We show that the principal results of the article "The metric dimension of graph with pendant edges" [Journal of Combinatorial Mathematics and Combinatorial Computing, 65 (2008) 139--145] do not hold. In this paper we correct the results…

Combinatorics · Mathematics 2010-10-12 D. Kuziak , J. A. Rodriguez-Velazquez , I. G. Yero

The paper deals with the impact of wavefront errors, due to the optical aberrations of a two-beam interferometer, on the period of the travelling fringe observed by integrating the interference pattern. A Monte Carlo simulation of the…

Instrumentation and Detectors · Physics 2020-07-20 G Mana , E Massa , C P Sasso

Z. Xu, et al. [Phys. Rev. A 103, 023114 (2021)], have reported a measurement for the enhancement factor $\kappa$, which characterizes the overlap of the electron wavefunction with the noble-gas nucleus in Cs-$^{129}$Xe spin-exchange optical…

Atomic Physics · Physics 2022-04-11 B. Saam

We consider a fictitious domain formulation for fluid-structure interaction problems based on a distributed Lagrange multiplier to couple the fluid and solid behaviors. How to deal with the coupling term is crucial since the construction of…

Numerical Analysis · Mathematics 2024-06-07 Daniele Boffi , Fabio Credali , Lucia Gastaldi

This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize before we refute their new criticism.

Mathematical Physics · Physics 2011-12-20 Rainer Klages , Georgie Knight

In a recent Letter [1] a framework for estimating entropy was introduced and applied to one-dimensional and two-dimensional systems. In this Comment we show that the method is not well suited for estimating entropy in bidimensional systems…

Statistical Mechanics · Physics 2022-07-15 E. Brigatti , F. N. M. de Sousa Filho

The original versions (1 and 2) of this paper paper contain a fatal error. All my attempts to patch the error have failed. As a service to the community I explain the error in some detail.

Quantum Physics · Physics 2015-06-03 Mladen Pavicic

Erratum to Phys. Rev. X 4, 021008 (2014): The critical exponent associated with the ferromagnetic susceptibility was computed incorrectly. Furthermore, Ising ferromagnets on the Chimera topology have the same universality class as…

Disordered Systems and Neural Networks · Physics 2015-02-03 Martin Weigel , Helmut G. Katzgraber , Jonathan Machta , Firas Hamze , Ruben S. Andrist

The Comment by Xiong et al. (arXiv:1610.06275) criticizing my Letter [Phys. Rev. Lett. 116, 133903 (2016)] was rejected by Physical Review Letters. In this Reply, I show that all their claims are wrong.

Quantum Physics · Physics 2016-11-02 Tony E. Lee

The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in $L^2$, the other considering parallelotopes with estimates in terms of…

Numerical Analysis · Mathematics 2024-01-22 Volker Kempf

We analyze the effects of rounding errors in the nodes on barycentric interpolation. These errors are particularly relevant for the first barycentric formula with the Chebyshev points of the second kind. Here, we propose a method for…

Numerical Analysis · Mathematics 2016-03-22 Walter F. Mascarenhas , André Pierro de Camargo

The title paper is discussed critically. There are major problems with incorrect statements, irrelevant citations, incorrect mathematics leading to incorrect results, which are compared with our own simulations.

Applied Physics · Physics 2026-05-06 Dieter Britz , Jörg Strutwolf

The present paper is written in response to the critical comments of M.R. Hadizadeh on our original paper Tetraquarks as diquark-antidiquark bound systems [Phys. Lett. B 741, 124 (2015), arXiv:1505.07510]. We present our clarifications on…

High Energy Physics - Phenomenology · Physics 2015-08-05 M. Monemzadeh , N. Tazimi , P. Sadeghi

Intrinsic aberrations are those which occur due to the finite length of the desired field configuration. They are often loosely ascribed to the fringing field. This is misleading as it implies that the effects can be minimized by shaping…

Accelerator Physics · Physics 2015-08-04 R. Baartman

We reply to a recent Comment on our previous article [Phys. Rev. Lett. 86, 5140 (2001)] by Olsson and Teitel [cond-mat/0404473]. We point out that their scaling argument to question the possible vortex slush phase in the frustrated XY model…

Superconductivity · Physics 2009-11-10 Yoshihiko Nonomura , Xiao Hu

We review aspects of an important paper by Robert Strichartz concerning reverse iterated function systems (i.f.s.) and fractal blowups. We compare the invariant sets of reverse i.f.s. with those of more standard i.f.s. and with those of…

Dynamical Systems · Mathematics 2023-02-22 Louisa F. Barnsley , Michael F. Barnsley

We describe a conceptually simple, but important test for the overlap approach to the construction of lattice chiral gauge theories. We explain the equivalence of the overlap formula with a certain waveguide model for a simple set of gauge…

High Energy Physics - Lattice · Physics 2009-10-28 Maarten Golterman , Yigal Shamir

We point out that an erroneous derivation in the recent paper [Fetecau et al., Nonlinear Anal. RWA 12 (2011) 1] yields a correct solution by accident. Additionally, a number of misrepresentations and inaccuracies in the latter recent paper…

Fluid Dynamics · Physics 2011-08-19 Ivan C. Christov

We correct some tables and figures in [A.P. Bustamante and R.C. Calleja, Physica D: Nonlinear Phenomena, 395 (2019), pp. 15-23, arXiv:1712.05476]. We also report on the new computations that verify the accuracy of the data and extend the…

Dynamical Systems · Mathematics 2021-02-24 Adrian P. Bustamante , Renato C. Calleja