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A new interpretation offers a consistent conceptual basis for nonrelativistic quantum mechanics. The violation of Bell's inequality is explained by maintaining realism, inductive inference and Einstein separability.

Quantum Physics · Physics 2007-05-23 Gyula Bene

In this short note we give counterexamples to several results related to extension theorems published recently.

Functional Analysis · Mathematics 2013-03-19 Constantin Zalinescu

We present a new proof to a general result due to Kestelman. Our proof differs completely from the other proofs we know and we hope that readers will find it clearer. We also include a quite exhaustive bibliographical analysis on related…

Classical Analysis and ODEs · Mathematics 2013-04-15 Rodrigo López Pouso

This is an erratum to 'On the quantitative distribution of polynomial nilsequences' [GT]. The proof of Theorem 8.6 of that paper, which claims a distribution result for multiparameter polynomial sequences on nilmanifolds, was incorrect. We…

Number Theory · Mathematics 2015-08-17 Ben Green , Terence Tao

The results presented in this paper are refinements of some results presented in a previous paper. Three such refined results are presented. The first one relaxes one of the basic hypotheses assumed in the previous paper, and thus extends…

Complex Variables · Mathematics 2015-05-06 Jorge L. deLyra

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

We make explicit a larger structural phenomenon hidden behind the existence of normalizers in terms of existence of certain cartesian maps related to the kernel functor.

Category Theory · Mathematics 2013-07-19 Dominique Bourn , James Richard Andrew Gray

The paper of Unal [J. Math. Phys. 59, 062104 (2018)], though worthy of attention, contains a conclusion that is in error and may mislead the efforts to extend his results. The aim of the present note is twofold: we provide a correction to…

Quantum Physics · Physics 2019-05-23 Kevin Zelaya , Oscar Rosas-Ortiz

We provide separations between the parameterized versions of Res(1) (Resolution) and Res(2). Using a different set of parameterized contradictions, we also separate the parameterized versions of Res*(1) (tree-Resolution) and Res*(2).

Logic in Computer Science · Computer Science 2012-04-16 Stefan Dantchev , Barnaby Martin

This paper is devoted to the proof Gauss' divergence theorem in the framework of "ultrafunctions". They are a new kind of generalized functions, which have been introduced recently [2] and developed in [4], [5] and [6]. Their peculiarity is…

Analysis of PDEs · Mathematics 2015-03-10 Vieri Benci , Lorenzo Luperi Baglini

In this article we reconstruct the Frauchiger and Renner argument, taking into account that the assertions of the argument are made at different times. To do this, we use a formalism of quantum histories, namely the Theory of Consistent…

Quantum Physics · Physics 2019-12-04 Marcelo Losada , Roberto Laura , Olimpia Lombardi

We prove some new retarded integral inequalities. The results generalize those in [J. Math. Anal. Appl. 301 (2005), no. 2, 265--275].

Classical Analysis and ODEs · Mathematics 2009-04-18 Rui A. C. Ferreira , Delfim F. M. Torres

Let R be a unit-regular ring, and let a,b,c in R satisfy aba=aca. If ac and ba are group invertible, we prove that ac is similar to ba. Furthermore, if ac and ba are Drazin invertible, then their Drazin inverses are similar. For any n\times…

Rings and Algebras · Mathematics 2020-12-03 Dayong Liu , Aixiang Fang

This study presents an abelian group approach to analyzing inconsistency in pairwise comparisons. However, it wrongly assumes that an inconsistency indicator can take values in any abelian linearly ordered group. The followup publication…

Discrete Mathematics · Computer Science 2017-12-27 W. W. Koczkodaj , J. Szybowski , E. Wajch

I argue against the predominant view of Weyl's interpretation of the logical signs. Drawing on his correctness-first account of mathematical knowledge, I point out that, according to him, quantified statements generate conditional…

History and Overview · Mathematics 2025-12-19 Iulian D. Toader

We prove the irrationality of some factorial series. To do so we combine methods from elementary and analytic number theory with methods from the theory of uniform distribution.

Number Theory · Mathematics 2011-05-10 Jan-Christoph Schlage-Puchta

In this paper we prove that two heterogeneous parallel systems with independent exponentially distributed components are comparable via the star transform order while the comparison via the convex transform fails. The latter conclusion…

Probability · Mathematics 2019-01-11 Idir Arab , Milto Hadjikyriakou , Paulo Eduardo Oliveira

In this article, we demonstrate that the claim made by Xiaoyan Li and Ni Sun \cite{bib 1} regarding the incorrectness of Theorem 7 in the paper \cite{bib 2} is wrong, and show that this Theorem is based on the integral with respect to…

Probability · Mathematics 2023-12-05 Alireza Najafi , Rahman Taleghani

Reinhard Werner authored a comment on my paper "What Bell Did", disputing the conclusion and argumentation of the paper. This is my reply.

Quantum Physics · Physics 2015-06-22 Tim Maudlin

In this paper we obtain some noncommutative multiplier theorems and maximal inequalities on semigroups. As applications, we obtain the corresponding individual ergodic theorems. Our main results extend some classical results of Stein and…

Functional Analysis · Mathematics 2017-03-01 Yong Jiao , Maofa Wang