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We provide a way to modify and to extend a previously established inequality by P. Erd\H{o}s, R. Graham and others and to answer a conjecture posed in the nineties by R. Graham, which bears on the lack of divisibility of the central…

Number Theory · Mathematics 2010-10-18 Robert J Betts

We give an example to show that the main result of [1] is incorrect.

Functional Analysis · Mathematics 2017-08-16 Zafer Ercan

It is shown that conclusions regarding the statistical nature of multifragmentation, drawn by Botvina and Gross from experimental data, are unfounded. Imperfections of the experimental apparatus cannot restore information, once destroyed by…

Nuclear Theory · Physics 2007-05-23 Jan Toke , W. Udo Schroeder

I comment on a recent paper by Ruiz and Tsallis [Phys. Lett. A 376, 2451 (2012)] claiming to have found a '$q$-exponential' generalization of the large deviation principle for strongly correlated random variables. I show that the basic…

Statistical Mechanics · Physics 2013-01-15 Hugo Touchette

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

Distribution networks with periodically repeating events often hold great promise to exploit economies of scale. Joint replenishment problems are a fundamental model in inventory management, manufacturing, and logistics that capture these…

Computational Complexity · Computer Science 2020-07-20 Andreas S. Schulz , Claudio Telha

Attempts to quantize light in a manifestly Lorentz covariant manner fail because of the indefinite metric problem. Here an error in the interpretation is uncovered that is at the root of this problem.

Optics · Physics 2007-05-23 A. B. van Oosten

Recently K. Banaszek, I. A. Walmsley, K. Wodkiewicz (quant-ph/0012097) commented on our Proposal for the Measurement of Bell-Type Correlations from Continuous Variables [T. C. Ralph, W. J. Munro, R. E. S. Polkinghorne, Phys. Rev. Lett. 85,…

Quantum Physics · Physics 2007-05-23 T. C. Ralph , W. J. Munro

This paper initially aimed at proposing a proof that quasi-dense logics have f.m.p, but it contains a major flaw, unfixable.

Logic in Computer Science · Computer Science 2026-03-17 Olivier Gasquet

Consider the d-dimensional lattice Z^d where each vertex is ``open'' or ``closed'' with probability p or 1-p, respectively. An open vertex v is connected by an edge to the closest open vertex w such that the dth co-ordinates of v and w…

Probability · Mathematics 2016-09-07 Sreela Gangopadhyay , Rahul Roy , Anish Sarkar

An influential argument for scientific realism posits that, if scientific theories were not true, their empirical success would be a coincidence. Here, I show that the false Drude's theory succeeds in explaining the Wiedemann-Franz law by…

History and Philosophy of Physics · Physics 2025-10-07 Michele Pizzochero

The purpose of this comment is to present the perturbation approach proposed by Maiz J. Math. Phys. 60, 012103 (2019) in a clearer way. The results of our straightforward procedure agree with those obtained by that author except for one…

Quantum Physics · Physics 2020-06-02 Francisco M. Fernández

Recent progress in Zauner's conjecture has leveraged deep conjectures in algebraic number theory to promote numerical line packings to exact and verifiable solutions to the line packing problem. We introduce a numerical-to-exact technique…

Metric Geometry · Mathematics 2019-05-02 Dustin G. Mixon , Hans Parshall

The representation of the superalgebra so(2,1) that resulted in the relativistic wave equation (2.1) and Eq. (2.4) is fully reducible. In fact, its even part that lead to Eq. (3.1) is the direct sum of two spin 1/2 representations of the…

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

The book "Continuous-Time Markov Chains" by W. J. Anderson collects a large part of the development in the past thirty years. It is now a popular reference for the researchers on this subject or related fields. Unfortunately, due to a…

Probability · Mathematics 2015-01-22 Mu-Fa Chen

Some of my previous publications were incomplete in the sense that non trivial zeros belonging to a particular type of fundamental domain have been inadvertently ignored. Due to this fact, I was brought to believe that computations done by…

Complex Variables · Mathematics 2016-02-05 Dorin Ghisa

We refute the arguments by Anton in cond-mat/0004390, which set out to disprove the existence of a collapse transition for a randomly forced inelastic particle.

Statistical Mechanics · Physics 2007-05-23 Stephen J. Cornell , Michael R. Swift , Alan J. Bray

In this paper we present a surprisingly general extension of the main result of a paper that appeared in this journal: I. Montes et al., Sklar's theorem in an imprecise setting, Fuzzy Sets and Systems, 278 (2015), 48--66. The main tools we…

Probability · Mathematics 2023-08-28 Matjaž Omladič , Nik Stopar

We provide a surprising answer to a question raised in S. Ahmad and A.C. Lazer [2], and extend the results of that paper.

Classical Analysis and ODEs · Mathematics 2017-06-28 Philip Korman

In this letter we present an analytic evidence of the non-integrability of the discrete nonlinear Schroedinger equation, a well-known discrete evolution equation which has been obtained in various contexts of physics and biology. We use a…

Mathematical Physics · Physics 2009-11-13 Decio Levi , Matteo Petrera , Christian Scimiterna