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In this note we discuss the approach which was given by Wazwaz for the proof of the complete integrability to the system of nonlinear differential equations. We show that his method presented in [Wazwaz A.M. Completely integrable coupled…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Nikolay A. Kudryashov

The claim in \cite{Al-Badawi:2025ipr} that *"the errors in the foundational components (3) and (5) of Ref. [1] invalidate all subsequent analyses, numerical results, and physical interpretations that depend on them"* is **entirely…

General Relativity and Quantum Cosmology · Physics 2026-01-05 David Senjaya

We describe an error in the proof of a key proposition, which was necessary for the proof of the main result. Alternate proofs of the main result are given by Ozsvath-Stipsicz-Szabo and Dai-Hom-Stoffregen-Truong.

Geometric Topology · Mathematics 2019-10-23 Jennifer Hom

Fernandez Comment [1] on our pseudo-perturbative shifted-l expansion technique [2,3] is either unfounded or ambiguous.

Mathematical Physics · Physics 2009-11-07 Omar Mustafa

This purpose of this letter is to handle a gap that was found in the proof of Theorem 2 in the paper "The generalized stochastic likelihood decoder: random coding and expurgated bounds."

Information Theory · Computer Science 2017-07-14 Neri Merhav

We study a natural geometric variant of the classic Knapsack problem called 2D-Knapsack: we are given a set of axis-parallel rectangles and a rectangular bounding box, and the goal is to pack as many of these rectangles inside the box…

Data Structures and Algorithms · Computer Science 2023-07-21 Michal Pilipczuk , Mathieu Mari , Timothe Picavet

Concerning Version 1 of ``Worst-case Nonparametric Bounds for the Student T-statistic'', arXiv:2508.13226: The main result there is incorrect. Concerning Version 2 of arXiv:2508.13226: At least the proof of the main result there is…

Statistics Theory · Mathematics 2025-09-09 Iosif Pinelis

Results of analysis of correctness and limitations of the classical Coupled Cavity Model are presented in the paper. It is shown that in the case of an infinite chain of resonators, there are spurious solutions of the characteristic…

Accelerator Physics · Physics 2022-06-06 M. I. Ayzatsky

We correct an error in a technical lemma of Drees and Rootz\'en (2010) [arXiv:0910.0343] and discuss consequences for applications.

Statistics Theory · Mathematics 2015-11-02 Holger Drees , Holger Rootzén

Problems in two axiomatizations of Ja\'skowski's discussive (or discursive) logic D2 are considered. A recent axiomatization of D2 and completeness proof relative to D2's intended semantics seems to be mistaken because some formulas valid…

Logic · Mathematics 2014-04-01 Jesse Alama

The paper comments on "Quantifying long-term scientific impact". It indicates that there is a mistake of [D. S. Wang , C. Song, A. L. Barabasi, Quantifying long-term scientific impact, Science 342, 127 (2013), arXiv:1306.3293].

Digital Libraries · Computer Science 2014-05-16 Jin-Li Guo , Qi Suo

We show that the arguments against our recent paper on the failure of the collinear expansion in the calculation of the induced gluon emission raised by X.N. Wang are either incorrect or irrelevant.

High Energy Physics - Phenomenology · Physics 2008-06-03 P. Aurenche , B. G. Zakharov , H. Zaraket

The calculations of Guang-Wen Ma's recent Letter [Phys.Lett. A239, (1998) 209] contain an easily detectable error which makes his conclusions irrelevant.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lajos Diosi

Consider the classical Bin Packing problem with $d$ different item sizes $s_i$ and amounts of items $a_i.$ The support of a Bin Packing solution is the number of differently filled bins. In this work, we show that the lower bound on the…

Data Structures and Algorithms · Computer Science 2026-03-31 Klaus Jansen , Felix Ohnesorge , Lis Pirotton , Malte Tutas

Two recent articles by Norman H. March that contain misleading statements concerning 3D Ising models, partly based on earlier erroneous work of Z.D. Zhang, are addressed.

Statistical Mechanics · Physics 2016-03-23 Michael E. Fisher , Jacques H. H. Perk

We point out some major technical and conceptual mistakes which invalidate the conclusion drawn in "Anyonic braiding in optical lattices" by C. Zhang, V. W. Scarola, S. Tewari, and S. Das Sarma published in PNAS 104, 18415 (2007).

Other Condensed Matter · Physics 2008-02-05 J. Vidal , S. Dusuel , K. P. Schmidt

We show that Zhang Degang's claimed solution of the three-dimensional Ising model [arXiv:2110.11233] has fatal irreparable errors.

General Physics · Physics 2023-02-28 Jacques H. H. Perk

This paper has been withdrawn due to a critical error near equation (71). This error causes the entire argument of the paper to collapse. Emmanuel Candes of Stanford discovered the error, and has suggested a correct analysis, which will be…

Information Theory · Computer Science 2009-12-09 John Wright , Arvind Ganesh , Shankar Rao , Yi Ma

The random close packing fraction in two dimensions is calculated exactly via the central limit theorem and the brownian motion with no gain between monodisperse disks.

General Physics · Physics 2008-12-08 N. Olivi-Tran

We study the two-dimensional (geometric) knapsack problem with rotations (2DKR), in which we are given a square knapsack and a set of rectangles with associated profits. The objective is to find a maximum profit subset of rectangles that…

Data Structures and Algorithms · Computer Science 2026-03-27 Debajyoti Kar , Arindam Khan , Andreas Wiese