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Due to the omission of a hypothesis from an elementary lemma in the author's paper "Gleason parts and point derivations for uniform algebras with dense invertible group", some of the proofs presented in that paper are flawed. We prove here…

Complex Variables · Mathematics 2019-10-28 Alexander J. Izzo

The exact solution of the Cauchy problem of the linear theory of elasticity is given in the paper, when the initial data belong to a specific class of functions.

General Mathematics · Mathematics 2017-06-09 Maksut M. Abenov , Nourlan B. Shaltykov

This technical communiqu\'e aims at correcting an erroneous statement (Lemma 2.4) in an earlier paper by the same authors concerning a sufficient condition of uniform observability for a Linear Time-Varying (LTV) system. In this earlier…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Tarek Hamel , Minh-Duc Hua , Claude Samson

This note contains a correction of the proofs of the main results of the paper [A. Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), 383-432]. The results are correct as originally stated.

Algebraic Geometry · Mathematics 2007-08-14 Amnon Yekutieli

We make remarks on Ristroph and Zhang's [{\it Phys. Rev. Lett.} {\bf 101}, 194502 (2008)] paper. We argue especially that due to the interferences the calibration procedures in [1] were not complete and this will induce some measurements'…

Other Condensed Matter · Physics 2009-05-11 Guanghua Zhu

We point out that the main theorem of Ref2 := [Adv. Math. 407, Article ID 108564, 22 p. (2022)] is included in the prior research survey Ref1 := [Expo. Math., 40(2), 265-301, 2022]. For context, we also reproduce the rather simple proof…

Functional Analysis · Mathematics 2022-11-10 José Luis Romero

The interpretation of tunneling data in a recent Letter by Zasadzinski et al. is incorrect.

Superconductivity · Physics 2007-05-23 A. Mourachkine

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

We refute the criticism expressed in a Comment by P. J. Mart\'{\i}nez and R. Chac\'on [arXiv:2105.09308] on our paper Phys. Rev. E \textbf{97}, 032219 (2018). We first show that our paper is free of any mistakes and that the criticism…

Fluid Dynamics · Physics 2021-10-18 Jesús Casado-Pascual

This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

Functional Analysis · Mathematics 2024-06-27 Giuliano Basso

In this paper we give some sharper refinements and generalizations of inequalities related to Shafer's inequality for the arctangent function, stated in Theorems 1, 2 and 4 in [1], by C. Mortici and H.M. Srivastava.

Classical Analysis and ODEs · Mathematics 2019-10-15 Branko Malesevic , Marija Rasajski , Tatjana Lutovac

This work is equivalent to that in {\em Phys. Rev. Lett.} {\bf 123}, 259401 (2019), however, Physical Review Letters prohibited reference to the additional two points in the analysis published by Zhu et al., in {\em Phys. Rev. Lett.} {\bf…

Fluid Dynamics · Physics 2019-12-18 C. R. Doering , S. Toppaladoddi , J. S. Wettlaufer

We correct a mistake in a lemma in the paper cited in the title and show that it did not affect any of the other results of the paper. To this end we prove results on linearly disjoint field extensions that do not seem to be commonly known.…

Commutative Algebra · Mathematics 2019-11-13 Franz-Viktor Kuhlmann

This is an addendum to a previous article, which aims to provide the proofs of some results in that paper (Theorem 7.5 and Proposition 9.15) which were removed from its final version. The reason for such omission is that these proofs follow…

Analysis of PDEs · Mathematics 2018-12-19 Gabriel Araújo

It is shown that criticism of my paper arXiv:0801.0656 Phys. Rev. Lett, vol. 101, 163202 (2008) by the authors of Comment arXiv:0810.3243v1 is wrong and that their main arguments are in contradiction with established concepts of statistical…

Statistical Mechanics · Physics 2008-11-23 L. P. Pitaevskii

In this comment we point out numerous errors in the paper of Alhaidari cited in the title.

High Energy Physics - Theory · Physics 2008-11-26 Arvind Narayan Vaidya , Rafael de Lima Rodrigues

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

This paper has been withdrawn by the authors due to a crucial error in eqn 27.

Analysis of PDEs · Mathematics 2010-02-26 Miao-jung Ou , Robert Lipton

In our paper "Dendroidal sets as models for homotopy operads" (J. Topol. 4 (2011), no. 2, 257-299, and arXiv:0902.1954), we made the wrong claim about the behaviour of the tensor product with respect to cofibrations of dendroidal sets. We…

Algebraic Topology · Mathematics 2014-03-27 Denis-Charles Cisinski , Ieke Moerdijk

This article focuses on correcting several factual errors and critiques in the previously published Letter in Phys. Rev. L, Vol. 89, No. 10, 2022, by D. Shapira and M. Saltmarsh. The authors of the Letter did not perform their own…