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The points raised in the Comment are addressed and except for one error, which will be corrected, the conclusion is that all of our findings are accurate.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. D. Alhaidari

We correct the second main theorem of the previous paper "A perturbation of the Dunkl harmonic oscillator on the line", by the first two authors. The corrections concern mainly certain estimates, which were also improved by adding more…

Spectral Theory · Mathematics 2017-06-28 Jesús A. Álvarez López , Manuel Calaza , Carlos Franco

The aim of this paper is to exhibit a necessary and sufficient condition of optimality for functionals depending on fractional integrals and derivatives, on indefinite integrals and on presence of time delay. We exemplify with one example,…

Classical Analysis and ODEs · Mathematics 2015-12-22 Ricardo Almeida

A significant mathematical error is identified and corrected in a recent highly-cited paper on oscillatory flows of second-grade fluids [Fetecau & Fetecau (2005). Int. J. Eng. Sci., 43, 781--789]. The corrected solutions are shown to agree…

Fluid Dynamics · Physics 2011-12-20 Ivan C. Christov , P. M. Jordan

Errors in the published version of the paper are corrected, and new figures are provided.

High Energy Physics - Phenomenology · Physics 2008-11-26 E. L. Berger , M. Klasen , T. M. P. Tait

This document comes as supplementary material of the paper Stability in Gagliardo-Nirenberg inequalities by the same authors. It is intended to state a number of classical or elementary statements concerning constants and inequalities for…

Analysis of PDEs · Mathematics 2020-07-08 Matteo Bonforte , Jean Dolbeault , Bruno Nazaret , Nikita Simonov

Few comments upon Gonzalez-Fernandez and Camacho paper (arXiv: 1904.02299) are pointed out. We bring evidences that the analogue gravity recipe does not work for a BEC in an anisotropic harmonic-oscillator trap. The analogy with an…

General Physics · Physics 2019-04-11 Hristu Culetu

The measurement apparatus proposed in the titled paper, "Energy-Time Uncertainty Relations in Quantum Measurements" [Found. Phys. 46, 1522-1550 (2016)] was examined. A simple proof was presented for the non-existence of the apparatus.

Quantum Physics · Physics 2018-09-24 Koji Yasuda

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

We correct a small gap found in the authors' paper 'On bounds for the effective differential Nullstellensatz' (J Algebra 449:1-21, 2016). This gap is due to an inequality that does not generally hold. However, under one additional…

Commutative Algebra · Mathematics 2020-11-17 Omar Leon Sanchez , Alexey Ovchinnikov

In this note we improve the parameter $q$ that appears in Theorem 1 obtained by the author in [Math. Ineq. \& appl., Vol 19 (3) (2016), 1013-1030].

Classical Analysis and ODEs · Mathematics 2025-12-22 Pablo Rocha

We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely…

General Topology · Mathematics 2018-12-13 Laurence Boxer

We call attention to a series of mistakes in a paper by S. Nam [JHEP 10 (2000) 044, hep-th/0008083].

High Energy Physics - Theory · Physics 2010-02-03 Luiz C. de Albuquerque , R. M. Cavalcanti

I present briefly some facts about nonequilibrium renormalized perturbation theory, correcting recent misleading statements in [E. Mu\~noz, F. Zamani, L. Merker, T. A. Costi, and S. Kirchner, Journal of Physics: Conf. Series 807, 092001…

Strongly Correlated Electrons · Physics 2017-06-20 A. A. Aligia

A carefully written paper by A. Caticha [Phys. Rev. A57, 1572 (1998)] applies consistency arguments to derive the quantum mechanical rules for compounding probability amplitudes in much the same way as earlier work by the present author [J.…

Quantum Physics · Physics 2009-10-31 Yoel Tikochinsky

In this brief report we pointed at mistake in paper A. Zholents, Damping Force in the Transit-Time Method of Optical Stochastic Cooling, PRLST. Mar 1, 2012. 2 pp. Published in Phys.Rev.ST Accel. Beams 15 (2012) 032801.

Accelerator Physics · Physics 2013-07-24 E. G. Bessonov , A. A. Mikhailichenko

We begin by introducing the main ideas of the paper under discussion. We discuss some interesting issues regarding adaptive component-wise credible intervals. We then briefly touch upon the concepts of self-similarity and excessive bias…

Statistics Theory · Mathematics 2018-01-30 William Weimin Yoo

This paper studies the problem of equivalence of Gaussian measures induced by Gaussian random fields (GRFs) with stationary increments and proves a sufficient condition for the equivalence in terms of the behavior of the spectral measures…

Probability · Mathematics 2018-06-13 Abolfazl Safikhani , Yimin Xiao

In this note, we shall point out that all ``numerically calculations'' and figures in \cite{CaFrLeVa-23} are wrong because these calculations are based on some incorrect formulas. Furthermore, by pointing out several serious errors in…

Spectral Theory · Mathematics 2023-12-29 Genqian Liu

This is a reply to the comment by J. L. Alonso et al. (arXiv:1302.6146; to appear in J. Chem. Phys) on our paper A. Abedi, N. T. Maitra, and E. K. U. Gross, J. Chem. Phys. 137, 22A530 (2012) [arXiv: 1208.4388]

Chemical Physics · Physics 2015-06-16 Ali Abedi , Neepa T. Maitra , E. K. U. Gross